Is 5 a polynomial or not?

Answers

Answer 1

Because 5 is represented by the polynomial 5x0, the answer is yes.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An example of a polynomial of a single indeterminate x is x² − 4x + 7.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.

For instance, the polynomial 3x+2x-5.

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

For more questions on Polynomials

https://brainly.com/question/30111198

#SPJ4


Related Questions

For what value of a the system of linear equations Ax 3y a 3?

Answers

The system of linear equations has no solution for any value of a.

The equations Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

By using the Gaussian elimination method, the reduced form of the matrix is

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

The system of linear equation

Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

We can use the gaussian method to solve this system. First, we subtract 3 times the first equation from the second equation to get

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the cat cover in taking 12 steps

Answers

According to unitary method, cat takes 12 steps to cover 9 feet.

How do you translate distance in steps?

Measure your stride length or assume that it is 2.2 feet for women and 2.5 feet for men to determine it. Add the stride length to the number of steps, for example, 2.2 feet multiplied by 1,000 feet equals 2,200 feet. The answer is 2,200 ft / 5,280 0.42 mi when expressed in miles.

Given, it takes a dog three steps to cover the same distance as a cat four steps.

4 steps of a cat = 3 steps of a dog

12 cat steps equal (3/4)*12 to 9 dog steps.

Additionally, a dog's step covers one foot.

The dog moves nine feet in nine steps.

So a cat takes 12 steps to cover 9 feet.

To know more about unitary method visit:-

brainly.com/question/21648365

#SPJ4

A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3. 14 for π. Show your work

Answers

The approximate arc length rounded to the nearest hundredth, between each spoke is 54.9 mm.

Diameter = 559 mm, r = d/2 = 279.5 mm

Number of spokes = 32

π = 3.14

To solve this question, we have to use the formula of the length of an arc which is given as

L = θ/360 × 2πr

To calculate the angle between each spoke, let's divide 360 by 32

θ = 360/32

θ = 11.25°

Now we have the value of the angle, substitute it and solve for the length of the arc.

[tex]L_{arc}[/tex] = θ/360 × 2πr

= 11.25/360 × 2 × 3.14 × 279.5

= 54. 9 mm

Therefore the length of the arc is approximately 54.9 mm.

To know more about arc length, here

https://brainly.com/question/29141691

#SPJ4

A 20-gallon bathtub is to be filled with water that is exactly 100°F. The hot water supply is 175°F and the cold water supply is 20°F. When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified?

Answers

320/31 gallons of hot water and 300/31 gallons of cold water are needed.

Here we are required to fill a 20-gallon bathtub and the water should be precisely 100° F.

It is given that hot water has a temperature of 175° F and cold water has a temperature of 20° F.

Let the amount of hot water used be x gallons.

Let the amount of cold water used be y gallons.

Since the bathtub has a capacity of 20 gallons,

x + y = 20                                                                                  [1]

or, y = 20 - x                                                                             [2]

The temperature after the water is mixed will be a weighted average of the temperature and amt of water used.

Hence we get,

(175x + 20y) / (x + y) = 100

from equation [1] we get

175x + 20y = 2000                                                                   [3]

from equations [2] and [3] we get

155x - 400 = 2000

or, x = 1600/155 = 320/31                                                        [4]

Similarly,

y = 20 - 320/31

= 300/31

Hence 320/31 gallons of hot water and 300/31 gallons of cold water are needed.

To learn more about Simultaneous equations visit

https://brainly.com/question/27911202

#SPJ4

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards, how much fencing does the city need to surround the park?

Answers

The length of the fencing that the city needs to surround the park will be 380.50 yards.

What is the area and perimeter of the rectangle?

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,

8925 = L × 84

L = 106.25 years

Then the length of the fencing that the city needs to surround the park will be given as,

P = 2(106.25 + 84)

P = 2 × 190.25

P = 380.5 yards

The length of the fencing that the city needs to surround the park will be 380.50 yards.

More about the area and perimeter of the rectangle link is given below.

https://brainly.com/question/16572231

#SPJ1

Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$

Answers

Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.

What is primitive root?

A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).

The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.

In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.

Learn more about primitive root

https://brainly.com/question/30049990

#SPJ4

The degrees of freedom for a contingency table with 10 rows and 11 columns is
O 100 O 110 O 21 O 90

Answers

Essentially, a contingency table with 10 rows and 11 columns has (D) 90 degrees of freedom.

What is a contingency table?

A contingency table is a matrix-form table that shows how often different combinations of variables appear.

It's really popular in survey research, business intelligence, engineering, and scientific research. Basically, a contingency table with 10 rows and 11 columns has 90 degrees of freedom.

They are also sometimes known as two-way frequency tables and are used to show how often different combinations of variables occur.

A contingency table gives you an idea of how two variables relate to each other.

It displays one categorical variable along the rows and another categorical variable along the columns. It can help point out any interactions between them.

Therefore, essentially, a table with 10 rows and 11 columns has (D) 90 degrees of freedom.

Know more about a contingency table here:

https://brainly.com/question/17121680

#SPJ4

Complete question:

The degrees of freedom for a contingency table with 10 rows and 11 columns are:

A. 100

B. 110

C. 21

D. 90

What is the estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft

Answers

The estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft id found to be 37.3 feet .

Perimeter is calculated as

= 2*pi*r*r

=  2 *3.14 * sqrt (15/2² +7.5/2²)/2

= 6.28 x sqrt (56.25+14.0625/2 6.28) *sqrt (35.15625) 6.28 * 5.929270613

= 37.235 feat

An ellipse is the locus of all the points on a plane whose distances from two fixed points in the plane are always same. The fixed points, which are encompassed by the curve, are known as foci , singular of focus.

The constant ratio is the eccentricity of the ellipse and the fixed line is directrix. Eccentricity is an element of  ellipse which denotes elongation and is symbolized by the letter 'e'.

To learn more about ellipse

brainly.com/question/19507943

#SPJ4

Find the value of p and q for which the system of equations represent coincident lines:
2x + 3y = 7
(p + q + 1)x + (p + 2q + 2)y = 4(p + q) +1

Answers

Answer: The value of p and q for which the system of equations represent coincident lines is p = 2 and q = 1.

Step-by-step explanation: To represent coincident lines, the two lines must be proportional. Therefore, the slope of the second line must be equal to the slope of the first line.

The slope of the first line is 3/2. The slope of the second line is p + 2q + 2/p + q + 1. Therefore, we set these two equal:

3/2 = p + 2q + 2/p + q + 1.

Cross multiplying, we get:

3(p + q + 1) = 2(p + 2q + 2).

Simplifying, we get:

3p + 3q + 3 = 2p + 4q + 4.

Combining like terms, we get:

p - q = 1.

Therefore, the value of p and q for which the system of equations represents coincident lines is p = 2 and q = 1.

Decompose one number to subtract 726-340

Answers

The subtraction from the given number is = 386

What is subtraction?

Subtraction is defined as one of the basic arithmetic operations used to subtract one value from another value.

340 subtracted from 726 = 386.

It means; 726 - 340 = 386

Learn more about subtraction here :

https://brainly.com/question/28467694

#SPJ1

Please answer the question below

Answers

Can you take the photo more clearly please? looks a bit blurry
Try making a new post using the whole paper. The top part is needed in order to solve.

Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x

Answers

Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

Katy organised a wedding. Guests had to choose their meal from pasta , chicken or beef. 1/3 of the guests chose pasta. 5/12 of the guests chose chicken. 24 of the guests chose beef. How many guests were at the wedding ?

guys please help i’ll even give brainliest and give the correct answer not wrong ones

Answers

With the help of equations we can say that, the wedding had 96 attendees.

What is an equation ?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it.

According to our question-

x is the total number of wedding attendees.

1/3 of the attendees =1/3 who chose pasta=1/3x----1

Those who selected chicken =5/12x---2

24 people opted for meat.----3

adding 1,2,3

x = 96

learn more about equation click here:

brainly.com/question/2972832

#SPJ4

GH is dilated by a scale factor of to form G'H'. GH measures 36. What is the
measure of G'H'?

Answers

Answer:

The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Question content area top
Part 1
A computer store buys a computer system at a cost of ​$. The selling price was first at ​, but then the store advertised a markdown on the system. Answer parts a and b.
Question content area bottom
Part 1
a. Find the current sale price.
The sale price is ​$

enter your response here.
​(Round to the nearest cent as​ needed.)
Part 2
b. Members of the​ store's loyalty club get an additional ​% off their computer purchases. How much do club members pay for the computer with their​ discount?
The price for club members is ​$

enter your response here.
​(Round to the nearest cent as​ needed.)

Answers

a. The current sale price for the computer system is given as follows: $618.4.

b. The amount paid by the club members, with the discount, is given as follows: $587.48.

How to obtain the prices?

The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.

The selling price is of:

$773.

The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:

0.8 x 773 = $618.4.

Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:

0.95 x 618.4 = $587.48.

Missing Information

The problem is given by the image presented at the end of the answer.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

If the original recipe made 14 pancake and the cafeteria plan to charge $. 50 per pancake, how much money will they make if they ell all of the pancake made for the 75 people?

Answers

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it.

Define ratio and proportion.

Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

If the cafeteria sells all of the pancakes made for 75 people, and the original recipe makes 14 pancakes, they would need to make 1475 = 1050 pancakes.

If they charge $0.50 per pancake and they sell all 1050 pancakes, they would make 1050$0.50 = $525.

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

To learn more about the unitary method visit:

brainly.com/question/28276953

#SPJ4

How do you write a compound statement in symbolic form?

Answers

A compound statement is a statement that combines two or more simpler statements using logical connectives such as "and", "or", "not", "if-then", "if and only if", etc. To write a compound statement in symbolic form, you can use logical symbols to represent the different parts of the statement.

"∧" (and) is used to connect two statements, meaning that both statements must be true for the compound statement to be true. For example, "P ∧ Q" is read as "P and Q" and represents the statement "P and Q are true."

"∨" (or) is used to connect two statements, meaning that at least one of the statements must be true for the compound statement to be true. For example, "P ∨ Q" is read as "P or Q" and represents the statement "P or Q is true."

"¬" (not) is used to negate a statement, meaning that the statement is false if the original statement is true and vice versa. For example, "¬P" is read as "not P" and represents the statement "P is false."

"→" (if-then) is used to connect two statements, meaning that if the first statement is true, then the second statement must also be true. For example, "P → Q" is read as "if P then Q" and represents the statement "if P is true, then Q is also true."

"↔" (if and only if) is used to connect two statements, meaning that the two statements are either both true or both false. For example, "P ↔ Q" is read as "P if and only if Q" and represents the statement "P is true if and only if Q is true."

For example, the compound statement "If it is raining, then I will bring an umbrella, but if it's not raining, I will wear sunglasses" can be written in symbolic form as:

(R → U) ∧ (¬R → S)

Where "R" represents the statement "it is raining", "U" represents the statement "I will bring an umbrella" and "S" represents the statement "I will wear sunglasses".

To know more on compound statement

https://brainly.com/question/17242948

#SPJ4

Show that the vector field defined by the vector function v=xyz(yzi^xzj^xyk^) i conervative

Answers

The process to show the vector field V(x,y,z) as conservative is show  below and the scalar potential f is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex]   .

A Vector field can be called as conservative if we are able to find the potential function "f" , whose gradient is field .

The Gradient is vector that is made from partial derivatives of potential function .

The Vector function is given as , V(x,y,z) = [tex](yz^{2} )i + (xz^{2} )j + (2xyz)k[/tex] ,

So , we can write the partial derivatives function of potential function as :

[tex]\frac{\partial f}{\partial x} = yz^{2}[/tex] ; [tex]\frac{\partial f}{\partial y} = xz^{2}[/tex] ; [tex]\frac{\partial f}{\partial z} = 2xyz[/tex],

On Antidifferentiating any of the above three partial derivatives ,

we get ; [tex]f=xyz^{2} + C[/tex] , here the constant C can take any value ,

so , we take C as [tex]e^{\pi }[/tex] .

Therefore , the potential Function is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex] .

The given question is incomplete , the complete question is

Show that the vector field defined by the vector function V(x,y,z) = (yz²)i + (xz²)j + (2xyz)k is conservative by finding a scalar potential f .

Learn more about Vector Field here

https://brainly.com/question/13711350

#SPJ4

help!!!
Let f(x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x−5/3)
f(x)−5/3

Answers

The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.

What are some rules for the transformation of functions?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.

And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.

learn more about the transformation of functions here :

https://brainly.com/question/13810353

#SPJ1

What ordered pairs are the solutions of the system of equations shown in the graph below?


(__, __) and (__, __)

Answers

Answer: (2,0) and (-3, -5)

Step-by-step explanation:
You can find the solutions by looking for the points where the two functions intersect each other, which are at (2,0) and (-3, -5).

3 An art class is making mosaics with glass squares. Each of the 121 students will get the same number of glass squares to use. The total number of glass squares for the students to use is shown. How many glass squares will each student get? A. Write an expression that can be used to find the number of glass squares each student will receive. B. Complete the given division problem to find the number of squares each student will receive. C. How many whole glass squares will each student receive? 1,240 glass squares D. A remainder is the amount left over when an amount cannot be divided equally. What does the remainder mean in this context? 121)1240 30 R​

Answers

Answer: A. To find the number of glass squares each student will receive, we need to divide the total number of squares by the number of students.

We can write this as:

x = number of glass squares per student

x = 1240 / 121

B. To find the number of squares each student will receive, we need to solve for x by dividing 1240 by 121.

1240 ÷ 121 = 10.246753246753247

C. Each student will get 10 whole glass squares.

D. The remainder in this context is the number of glass squares that cannot be distributed evenly among the students. In this case, the remainder is 30. It means that there will be 30 glass squares left over after each student has received 10 squares. It's like remainder in division where after dividing 1240 by 121 the quotient is 10 and the remainder is 30.

Step-by-step explanation:

The solutions to this problem

Answers

Answer: x<-2 or -2>x<1 or x>1

(-infinity,-2) U (-2,1) U (1,infinity)

Step-by-step explanation:

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 80.



Regression Equation:

Final Answer:

Answers

on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

equation given is 3(x+2)=7x-48

value of x

[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]

value of x from the given equation comes out to be 13.5

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

What are the AGI and taxable income? Responses $35,468 and $23,068 $35,468 and $23,068 $47,468 and $35,468 $47,468 and $35,468 $47,868 and $12,400 $47,868 and $12,400 $35,468 and $12,400 $35,468 and $12,400 Gross Income $35,468 Adjustments 0 1 Exemption $12,400 Deduction 0

Answers

The amount of GI is $35,468.

The amount of taxable income is $23,068.

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Gross income = $35,468

Exemption = $12,400

Deduction = 0

Adjustment = 0

Taxable income.

= Gross income - Exemption

= 35,468 - 12,400

= $23068

Thus,

GI and taxable income are $35,468 and $23,068

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

wacky wizards offers beginner and advanced magic classes. The beginner class costs 6 more than half the cost of the advanced class.Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system that represents the cost of the beginner class, b and the advanced class, a. HELP!!!!!

Answers

The system represents the cost of the beginner class will be $18 and the advanced class will be $24.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Both basic and expert magic lessons are available at Wacky Wizards. More than half as much is spent on the introductory class as there is on the advanced level. They made $390 last week by instructing 7 basic lessons and 11 advanced classes.

Let 'x' be the cost of beginner classes and 'y' be the cost of advanced classes. Then the equations are given as,

x = y / 2 + 6

y = 2x - 12             ...1

7x + 11y = 390      ...2

From equations 1 and 2, then we have

7x + 11(2x - 12) = 390

7x + 22x - 132 = 390

29x = 522

x = 18

Then the value of the variable 'y' is calculated as,

y = 2(18) - 12

y = 36 - 12

y = 24

The system represents the cost of the beginner class will be $18 and the advanced class will be $24.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

The daily recommended allowance of vitamin c for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowence of vitimin c. How many milligrams are in 1 orange?

Answers

Proportionately, the quantity of milligrams of vitamin c in 1 orange is 33.75 mg.

What is proportion?

Proportion refers to the part of a whole contained in another value.

Proportion is a ratio representation, which is fractional in value.'

We depict proportions using decimals, fractions, or percentages.

The daily recommended allowance of vitamin c for a sixth grader = 45 mg

The content of 1 orange to the daily recommended allowance = 75%

75% of 45 mg = 33.75 mg.

Thus, 1 orange will proportionately contain 33.75 mg, which is 75% of 45 mg.

Learn more about proportions and ratios at https://brainly.com/question/1496357#:

#SPJ1

Elliot purchased 3 trick cameras and 4 fake

snakes and spent a total of $40. Kaci bought 7

trick cameras and 8 fake snakes, and her total

was $85. Let x be the price of the trick

cameras and let y be the price of the snakes. What are equation can be used to solve this system of equations?

Answers

If Elliot purchased 3 trick cameras and 4 fake snakes for $40 and  Kaci bought 7 trick cameras and 8 fake snakes for $85 , then the system of equations that can be used to find the cost of trick camera and fake snakes are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

Elliot purchased 3 trick cameras and 4 fake snakes for $40  ;

Kaci purchased 7 trick cameras and 8 fake snakes for  $85 ;

let the number of trick cameras purchased be = x ;

let the number of fake snakes purchased be = y ;

So , the equation for Elliot's purchase is ⇒ [tex]3x+4y=40[/tex] ;

and the equation for Kaci's purchase is ⇒ [tex]7x+8y=85[/tex] ;

Therefore , the equations to solve for the number of trick cameras and number of fake cameras are  [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

Learn more about Equations here

https://brainly.com/question/25767370

#SPJ4

In a 45°-45°-90° triangle, the length of the hypotenuse is 11. Find the length of one of the legs.

Answers

The length of the leg of the right-angled triangle is (11√2) / 2. The correct option is C.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the right angles triangle has 45-45-90 angles. The hypotenuse is 11.

The length of the leg will be,

Cos45 = Base / Hypotenuse

1 / √2 = Base / 11

Base = 11 / √2

Rationalize the numbers,

Base = 11√2 / 2

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

b. The original amount on the gift card was $200. Does Arleen have
enough left on the card to buy a
wheelbarrow for $50? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.

Answer: yes

Step-by-step explanation:

200-50=159

Using a number line, find both the intersection and the union of the following
intervals:
(-∞,2) and [0,∞)

Answers

The answer choice which represents a number line for the intersection of the given intervals is; (-∞, 2).

The answer choice which represents a number line for the union of the given intervals is; (-∞, ∞).

What is the number line representation of the intersection and union of the given intervals?

It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.

Since the given intervals are; (-∞, 2) and [0,∞).

It follows that the intersection of both intervals is the interval; (-∞, 2).

Also, the interval which represents the union of both intervals is; (-∞, ∞).

Hence, the image which represents both scenarios is attached.

Read more on intersection and union of sets;

https://brainly.com/question/28278437

#SPJ1

Other Questions
What type is monggo? please assist with helping in the image below!! How much is 3 paragraphs? What is generally given to you to assist you in improving your workflow, skills, and interpersonal relations in the workplace? bias empathetic feedback work ethic What two negatives make a positive? You are on scene at a suspected terror attack in which a RDD has detonated. A 67-year-old patient reports tightness in his chest. The patient is coughing up blood and is in respiratory distress. During the physical assessment, you notice subcutaneous emphysema. Which condition does the patient most likely have HURRY I NEED HELP PLEASE How do you get out of a manipulative controlling friendship knowing you will lose all of your friends? Courts and Civil Liberties 04.02 MC)Sue and Tim are arguing about the value of appointing rather than electing federal judges. Tim says they are appointed because they need to beindependent. What does he mean? The ________ is another name for the latitude and longitude coordinate system. Group of answer choices gnomon meridian plane coordinate system graticule great circle system African countries to annex the colony. What is the meaning of the word annex as used in the sentence? dancing through sports in the 24st century world Access is a database management system software that allows you to use a computer to create a database; add, change, and delete data in the database; create queries that allow you to ask questions concerning the data in the database; and create forms and reports using the data in the database. True or false Why is scarcity one of the most central concept in economics and what it implies for all of us? Explain the difference between co-signing, a joint account, and an authorized user. What is a dependent clause word? Do you agree that interfaith dialogue is important for society. Give two or more reasons for your veiw. This must be phrased as an essay with a beginning, at least one paragraph for each point and a conclusion. How to fix wordPress upload error unexpected response from the server. the file may have been uploaded successfully. check in the media library or reload the page. The primary reason the author wrote this letter was to A. inform the CEO that a bad batch of bars was still being produced. B. let the CEO know why he would be switching to a different energy bar. C. express his preference for energy bars that do not taste like candy bars. D. vent his frustration that the company had abandoned its original recipe. What is included in George Washington's Farewell Address?(PLEASE HELP ME ASAP I NEED TO PASS THIS TEST :(1. a warning to avoid doing any business with foreign nations2. a compliment for the people who elected him to office3. a description of how a national bank should be used4. a suggestion to avoid breaking into political parties