Answer:
40(i think)
Step-by-step explanation:
Dana measured the floor of her storage unit, which is rectangular. It is 3 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit?
After using Pythagorean theorem the rectangular floor is 4m long.
What is Pythagorean theorem ?
A right angled triangle's missing length can be discovered using Pythagoras' Theorem.
The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse (which is between the opposite and the hypotenuse).
Here in the given rectangular floor,
Width = 3m and Altitude which is hypotenuse = 5 m.
Now using Pythagorean theorem,
=> [tex]length^2+width^2=hypotenuse^2[/tex]
=> [tex]length^2+3^2=5^2[/tex]
=> [tex]length^2=5^2-3^2[/tex]
=> [tex]length^2=25-9=16=4^2[/tex]
=> length = 4m
Hence the rectangular storage unit is 4m long.
To learn more about Pythagorean theorem refer the below link
https://brainly.com/question/343682
#SPJ1
which equation reorestents the line that passes through (2,3) and (-2,5)?
Answer:
a.y=-1/2×X + 4 is the req eqn for st.line.
*mark me brainliest
(d) If every unit that the Acme factory produces is sold for $4, write a function R(x) that gives the
cumulative revenue of the Acme factory where x is the number of days since the start of 2018.
Include the units of the function's output.
Revenue is calculated by multiplying the number of units sold by the price per unit. Multiply the output level by the price function to get the revenue function.
What is revenue function?R is expressed as a function of x. Remember that revenue = price quantity. Because we want the revenue to be a function of x, we must express the price and quantity in terms of x. The number is straightforward; it is x.If x is the number of units sold, we will refer to these two functions as: R(x) denotes the revenue function, while C(x) denotes the cost function. As a result, our profit function equation will be: P(x) = R(x) - C (x).Profit is a function. P(x) is the profit made from selling x units of the commodity and is represented by the difference.So here R(x) = 4(x)
Where x = number of days.
To learn more about revenue function refer to :
https://brainly.com/question/19755858
#SPJ1
Help Me please It's geometry
Answer:
D) [tex]28^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle EDQ+m\angle QDC=m\angle EDC \\ \\ 8x+4+31x-3=118 \\ \\ 39x+1=118 \\ \\ 39x=117 \\ \\ x=3 \\ \\ m\angle EDQ=8(3)+4=28^{\circ}[/tex]
Forces with magnitudes of 85 pounds and 50 pounds act on a single point at angles of 45° and 60°, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these
forces.
50.545\degree with the positive x axis, {133.909\ ; pounds}.
what is degree?
The magnitude of an angle is measured using a unit of measurement. In magnitude, 1 degree is equivalent to 1/360 of a full rotation.A degree at a university or college is the certification you receive once you have successfully completed a course of study there. graduation ceremony a ceremony where degrees are conferred from universities. academic subject.The four main types of college degrees are the doctoral or professional degree, the associate degree, the bachelor's degree, and the graduate degree. There are numerous distinctions between a doctorate and a professional degree, and each category has its own unique subcategories.To learn more about degree refer to
https://brainly.com/question/25770607
#SPJ1
(10+z)−4=18 Select the number from the drop-down menu to correctly complete the statement. The value of z is \
The correct value for z that makes the algebraic expression true is equal to 12
Algebraic expressionIn mathematics, an algebraic expression is an expression which is made up of variables and constants, along with algebraic basic operations such as addition, subtraction, multiplication and division.
we first open the bracket
10 + z - 4 = 18
z + 10 - 4 = 18
z + 6 = 18
subtract 6 from both sides of the equation
z + 6 - 6 = 18 - 6
z = 12
Therefore, 12 is the value of z that makes the algebraic expression true.
Know more about algebraic expression here:https://brainly.com/question/4541471
#SPJ1
Integer of 56 how many units is it away from 12
The number of units that the integer 56 is away from 12 is 44.
How to calculate the value?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The integer will be expressed as:
= 56 - 12
= 44
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
What two numbers multiply to give you 56 and add up to give you negative -30
Answer:
The two numbers that multiply to give 56 and add up to give -30 are -8 and 7.
-8 * 7 = 56
-8 + 7 = -1
Find the difference by subtracting the polynomial 4a^3+6a^2-11a-3 from the polynomial 2a^3-4a^2-6a+1
The difference of the polynomials 4a^3+6a^2-11a-3 and 2a^3-4a^2-6a+1 is given as follows:
2a³ + 10a² + 5a - 4.
How to obtain the difference of polynomials?The difference of polynomials in this problem is defined as follows:
4a^3+6a^2-11a-3 - (2a^3-4a^2-6a+1)
To subtracted the polynomials, we combine the like terms, hence:
4a³ - 2a³ = 2a³.6a² - (-4a²) = 6a² + 4a² = 10a²-11a - (-6a) = -11a + 6a = -5a.-3 - 1 = -4.Hence the difference of the polynomials is given as follows:
2a³ + 10a² + 5a - 4.
More can be learned about a difference of polynomials at https://brainly.com/question/1332524
#SPJ1
dividing complex numbers simplify
Answer:
Step-by-step explanation:
If x and y are positive integers less than 10, and 3x + 2y = 13, using a guess-and check method, what could be the value of y?
Find one of the two possible correct answers. Enter a number for y only!
Hint: Substitute numbers in for x and y and find a pair that works!
y = ____
Step-by-step explanation:
we can do even a little bit better than wild guessing and trying.
3x + 2y = 13
tells us that the sum of 2 terms is an odd number.
that means one term has to be odd and the other even, as only then their sum will be odd.
2y is because of the included factor 2 an even number. always.
so, 3x has to be odd.
and that means x has to be odd too. because an even number multiplied with any number is always even.
so, x can only be 1 or 3. because 3×5 = 15 (3×7 = 21, 3×9 = 27) and already too big for the sum 13.
so, for x = 1 we have
3×1 + 2y = 13
3 + 2y = 13
2y = 10
y = 5
for x = 3 we have
3×3 + 2y = 13
9 + 2y = 13
2y = 4
y = 2
so, the answer is either y = 2 or y = 5.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting a black marble.
A. 0.27
B. 0.33
C. 0.40
D. 0.60
The required probability of selecting the black marble is given as 0.40. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of marbles in the bag = 15
Number of black marble = 6 [from the table]
Now,
The experimental probability of selecting a black marble,
= Number of black marble/Total number of marbles
= 6/15 = 0.40
Thus, the required probability of selecting the black marble is given as 0.40. Option C is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ1
Select the correct answer. Which statement best defines a circle? A. the set of all points in a plane that are the same distance from a given point called the center B. points in a plane that surround a given point called the center C. the set of all points that are the same distance from a given point called the center D. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
The statement that best defines a circle is A. the set of all points in a plane that are the same distance from a given point called the center.
what is a circle?A circle is a shape produced by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a given point is constant. The radius is the distance between any two points on a circle and its center.
A circle is a basic closed curve that splits the plane into two regions: inner and exterior. In daily parlance, the phrase "circle" can refer to either the figure's boundary or the entire figure, including its inside; in pure technical parlance, the circle is simply the boundary and the entire figure.
learn more about circle at:
https://brainly.com/question/24810873
#SPJ1
emmy and roscoe both run every day. Yesterday emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours. Who ran faster and why
Roscoe is faster.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving."
Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.
Speed = distance / time
Emily's Speed = 8 / 2 = 4 mph
Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph
Since, Roscoe's speed is greater than Emily's speed.
Hence, Roscoe is faster.
Learn more about speed, click;
https://brainly.com/question/28224010
#SPJ1
in example 35.1 values were rounded to the proper number of significant figures in each step it is sometimes suggested that one or two insignificant figures be carried along
It would depend on how accurate the calculation was in this scenario.
In general, it is preferable to round each step to the correct number of significant figures, but in some circumstances, carrying one or two insignificant figures can assist prevent round-off errors.
All zeros that are to the right of the decimal point but to the left of a non-zero number in a decimal number that ranges between 0 and 1 are not significant.
If there are zeros in a whole number to the right of a non-zero digit but to the left of a recognised decimal point, the situation becomes questionable.
All of the last zeros of a decimal number are significant when it is rounded off to a specific number of decimal places.
Complete Question:
It is sometimes suggested that one or two extra decimal places be carried along in each step when rounding values to the proper number of significant figures.
To know more about the significant visit:
https://brainly.com/question/29153641
#SPJ4
It would depend on how accurate the calculation was in this scenario.
In general, rounding each step to the right number of significant numbers is ideal, but in rare cases, carrying one or two insignificant digits can help prevent round-off mistakes.
All zeros to the right of the decimal point but to the left of a non-zero integer in a decimal number between 0 and 1 are ignored.
The issue becomes dubious if there are zeros in a whole integer to the right of a non-zero digit but to the left of a recognised decimal point.
When a decimal value is rounded to a specified number of decimal places, all of the final zeros are important.
To know more about the significant digit
brainly.com/question/29153641
#SPJ4
need help asap ill give brainlist Which is the equation of the boundary line for the inequality
Answer: Y = x −3
Step-by-step explanation: If the inequality just has a > or < sign the line will be a broken or dotted line and its points are not included in the solution. In this case the equation of the boundary line is y = x −3 This line has a slope of 1 and a y-intercept = -3.
The answer is D. y = 3. That is because the sign shown in the question means greater than or equal to 3, meaning it can't get any greater than three, but it can equal it.
What’s the domain of x-3+5
The domain of the function x - 3 + 5 is x ∈ R(real number)
What is a function ?A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The function is
f(x) = x - 3 + 5 = x + 2
for all value of x ∈ real number the function is define
So , the domain of the function x - 3 + 5 is x ∈ R(real number)
To learn more about functions refer to :
https://brainly.com/question/29963265
#SPJ1
The Morris family is planning to carpet the entire home. The type of carpet the family wants is sold at two different stores. store A sells 50 square feet of carpet for $325. The equation y=7.25x represents the cost of buying x square feet of carpet from store B
So, on solving the question we can say that - the equation is y=7.25x; y = 2356.25
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here, the equation is -
y=7.25x
x = 325
y = 2356.25
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Find sin(a) pls I will give brainliest
Answer:
Answer:
cot α = 1/tan α = 1/2.4 = 0.42
Step-by-step explanation:
cot α=0.42
sin α = 0.92
we know that cot α = 1/tan α
thus,
cot α = 1/tan α = 1/2.4 = 0.42
we know that
sin(x)=tan(x)1+tan2(x)√
\begin{gathered}\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92\end{gathered}
sin(α)=tan(α)/
1+tan
2
(α)
sin(α)=2.4/
1+2.4
2
=2.4/
1+5.76
sin(α)=2.4/
6.76
=2.4/2.6=12/13=0.92
sin α = 0.92
A line ray or segment that intersects a segment at its midpoint is said to bisect the segment and is called
When a line, ray or segment intersects another segment at its midpoint, such a line, ray or segment is called a segment bisector.
What is a segment bisector?As the name implies, When a line or a ray intersects another segment at its midpoint, such a line or ray is called a segment bisector.
More specifically, A line or ray is termed a perpendicular bisector when the ray or line intersects a given line segment at 90°, and also passes through the midpoint of the line segment.
Ultimately, the term which best describes such line or ray as described in the task content is; Segment bisector.
Read more on segment bisector;
https://brainly.com/question/28262938
#SPJ1
PENTAGONS
If ABCDE PQRST, find the
scale factor of ABCDE to PQRST and the
perimeter of each polygon.
The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.
what is perimeter ?The perimeter of a form is its circumference. The interior space of a form is measured by area. The perimeter is the space around a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole length of a shape's boundary is referred to in geometry as the perimeter of that shape. The length of each side and edge that surrounds a shape is added to find its perimeter. It is measured in linear distances such as centimeters, meters, inches, or feet.
given
the scale factor in the following format: a: b = 5/7 for ABCDE and PQRST
ABCDE's perimeter is equal to the total of its sides,
which is 65 (10 + 10 + 10 + 20 + 15).
the sum of all the sides of PQRST equals 91.
The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.
To know more about perimeters visit :-
https://brainly.com/question/6465134
#SPJ1
Consider the matrices.
A=⎡⎣⎢4−3−578−2⎤⎦⎥ and B=⎡⎣⎢53−1−468⎤⎦⎥
What is the result of A−B?
The subtraction of the given martix B from A given as:
A - B = | -1 11 |
| -6 2 |
| -4 -10 |
Explain the term matix and its subtraction?When a matrix is subtracted, its equivalent elements from two or more other matrices are also subtracted. Data can be organized mathematically into rows and columns using matrices.A = | 4 7 | B = | 5 -4 |
| -3 8 | | 3 6 |
| -5 -2 | | -1 8 |
A - B = | 4 - 5 7 + 4 |
| -3 - 3 8 - 6 |
| -5 + 1 -2 - 8 |
A - B = | -1 11 |
| -6 2 |
| -4 -10 |
Thus, the subtraction of the given martix B from A given as:
A - B = | -1 11 |
| -6 2 |
| -4 -10 |
To know more about the matix, here
https://brainly.com/question/4030813
#SPJ1
time-ordered plot of representative sample statistics called a(n): Gantt chant. simo chart
control chart
p-down matrix
standard deviation table
An example of time-ordered typical sample statistics is shown in the Control chart. It is used to process the Mean bar.
A control chart is a statistical tool for monitoring the effectiveness of a process over time. It has the form of a graph with two additional lines representing the upper control limit and lower control limit. The central line in the graph represents the mean or average of the data.
Control charts are a type of graph used in production control to assess the effectiveness of exceptional production procedures under challenging circumstances. Control charts are actually the tools used in control strategies. These curves were produced using historical data.
To learn more about Control Charts,
https://brainly.com/question/30052680
#SPJ4
Determine the average rate of change of B from t = 0 $ to t = 332 s. Time (s) Concentration of A (M) 0 0.670 166 0.415 332 0.160
A -> 2B rateB =__________________ M/s
The rate of B is -0.003072 M/s.
The average rate of change is a measure of how much a quantity changes over a certain period of time. In this case, we are looking at the concentration of B, and we want to know how much it changes over the time interval from 0 to 332 seconds. To calculate this, we first need to determine the initial and final concentrations of B at these two points in time.
From the given data, we know that
the initial concentration of B at t = 0 is 0.670 Mthe final concentration of B at t = 332 s is 0.160 M.Once we have these values, we can calculate the change in concentration of B by subtracting the initial concentration from the final concentration: 0.160 M - 0.670 M = -0.510 M. This tells us that the concentration of B decreases by 0.510 M over the time interval from 0 to 332 seconds.
Next, we need to divide this change in concentration by the length of the time interval to get the average rate of change. The length of the time interval is the difference between the final and initial time: 332 s - 0 s = 332 s. So, the average rate of change of B is (-0.510 M) / (332 s) = -0.001536 M/s. This tells us that the concentration of B decreases by 0.001536 M per second on average over the given time interval.
As we know that the reaction is of form A -> 2B, the rate of formation of B is equal to twice the rate of A.
So, Rate of B = 2* Rate of A = 2*(-0.001536) = -0.003072 M/s
Learn more about change in concentration here:
https://brainly.com/question/30080781
#SPJ4
simplify the expression 5x^(2n-1)+(2x^(3n+1))^2
Hey there!
Given:
[tex]5x^(^2^n^-^1^)+(2x^(^3^n^+^1^))^2[/tex]
Simplified Solution:
[tex]5x^2^n^-^1+4x^6^n^+^2[/tex]
Hope this helps!
(FAST 50 POINTS)
Find the perimeter of this rectangle
Answer: 22[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]5\sqrt{5)[/tex] X 2 =10[tex]\sqrt{5}[/tex]
3[tex]\sqrt{20\\[/tex] X 2= 12[tex]\sqrt{5}[/tex]
10[tex]\sqrt{5}[/tex] + 12[tex]\sqrt{5}[/tex] = 22[tex]\sqrt{5\\[/tex]
On July 1, Jones Corporation had the following capital structure:
Common Stock, par $1; 8,000,000 authorized shares, 145,000 issued and outstanding
Additional Paid-in Capital
Retained Earnings
Treasury Stock
$ 145,000
99,000
179,000
None
On solving the provided question, we can say that By addition we have the following data , Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00
what is addition?The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers.
By addition we have the following data ,
Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00
Case 1 Case 2
Before stock After 100% After Stock
transactions stock dividend Split
Nos of 105000 210000 210000
shares
outstanding
Par per share $1.00 $1.00 $0.50
Common Stock $105,000.00 $210,000.00 $105,000.00
Account
Additional Paid $91,000.00 $91,000.00 $91,000.00
in capital
Retained Earnings $171,000.00 $66,000.0 $171,000.00
Total y $367,000.00 $367,000.00 $367,000.00
Stockholder's Equity
To know more about addition visit:
https://brainly.com/question/29560851
#SPJ1
Suppose that the world's current oil reserves is R = 2200 billion barrels. If, on average, the total reserves
are decreasing by 15 billion barrels of oil each year, answer the following:
A.) Give a linear equation for the total remaining oil reserves, R, in billions of barrels, in terms off, the
number of years since now. (Be sure to use the correct variable.)
R=-15t+2200
B.) 15 years from now, the total oil reserves will be 1975
✓billions of barrels
C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted all
used up) approximately 146.60
x years from now.
(Round your answer to two decimal places.)
age instructor
Answer:
54637737636553363666
21. Write in standard a + bi form: (2 + 5i)(−1 + 5i)
A. 23+5i
B.
C.
D. -2+5i
-27+5i
-2 +25i
HELP PLEASE!!
Therefore , the solution to the given problem of expression comes out to be -27 + 5i.
Meaning of expressionMultiplication, division, addition, and subtraction are all possible in math. The expression structure is as follows: Expression, calculator, and a number or variable Numbers, variables, and procedures (such as subtraction, multiplication, addition, or division, etc.) are all parts of a mathematical expression. You can compare two expressions or sentences.
Here,
Given : (2 + 5i)(−1 + 5i)
To find a + bi form
we get,
=> (2 + 5i)(−1 + 5i)
=> -2 + 10i -5i +25i²
=> -27 + 5i
Thus ,-27 + 5i forms same expression as the a+bi form so, it is the solution for this problem.
Therefore , the solution to the given problem of expression comes out to be -27 + 5i.
To know more about expression visit :-
brainly.com/question/14083225
#SPJ1
Could someone help me with this? Been stuck on it for a minute
Part a: Area of habitat - Area of field = Area of mowed portion.
Part b: Area of mowed portion: 4x(b - x)
Explain the term area of the square?The maximum number of unit squares forming a square is referred to as the square's area. In other terms, it is described as the area that the square occupies.For the stated question:
Part a:
The complete area is given as: Area of habitat.
The area kept for birds: Area of mowed portion
Central unmowed portion: area of field
Thus,
Area of habitat - Area of field = Area of mowed portion
Part b: Area of mowed portion: 4x(b - x)
Proof:
b² - (b - 2x)² = [b - (b - 2x)] [b + (b - 2x)]
= [b - b + 2x] [b + b - 2x]
= (2x)(2b - 2x)
= 4x(b - x)
Thus, the Area of mowed portion: 4x(b - x).
Know more about the area of the square, here
https://brainly.com/question/25092270
#SPJ1