Zachary's art club ordered a giant sub sandwich for a party. It was 5 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?

Answers

Answer 1

The length of each piece of the sandwich is 0.3125 feet.

What is a unitary method?

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

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Related Questions

what is -5.6 opposite ?​

Answers

Answer: 5.6

Step-by-step explanation:

the opposite of an negative number...

So your answer would be....

        =5.6

Answer:

[tex]5.6[/tex] or [tex]\dfrac{1}{-5.6}[/tex]

Step-by-step explanation:

The additive inverse of [tex]-5.6[/tex] is [tex]-1 \cdot -5.6 = \boxed{5.6}[/tex]

or...

If you mean the multiplicative inverse of  [tex]-5.6[/tex], then the answer would be [tex]\dfrac{1}{-5.6}[/tex]

A sequence begins with 2. Each term is calculated by multiplying the previous term by −1, then subtracting 3.

Which answer correctly represents the sequence described?


a) {2,−5,2,−5,…}

b) 2,−5,2,−5,…

c) 0,−3,0,−3,…

d) {0,−3,0,−3,…}

Answers

The sequence is going to be {2,−5,2,−5,…}. Since we can see that options A and B are one and the same, the correct answer is options A and B.

A sequence is a successive arrangement of two or more things that are constructed on the basis of a given formula.

Here, the first term is = 2

Each previous term has been multiplied by = -1

And then, it has been subtracted by = 3

So, following the formula given, we conclude that the second value will be = 2×(-1)-3 = -5

Similarly, the formula is going to be applied to the second term now which is -5, and then the third term is going to be = -5×(-1)-3 = 2

In this fashion, we can make the sequence. Options A and B is the correct answer.

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You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.

Answers

Answer: 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Step-by-step explanation:
1. Set up two equations equal to one another like 15 + 5x = 25 + 5x to find out if you'll have the same savings as your friend.

2. Subtract 15 on both sides to get 5x by itself. This should leave you with 5x = 10 + 5x.

3. Subtract 5x on both sides to get 10 by itself. This should leave you with 0x = 10. This means that you'll never have the same amount of money because the x's cancel each other out.

What is −30y − 15 if y is 7?

Answers

If y is equal to 7, then −30y − 15 would be equal to −30(7) − 15, which simplifies to −210 − 15. When you perform the operations within the parentheses first, you get −210 − 15, which is equal to −225.

So, the value of −30y − 15 when y is equal to 7 is −225.

Answer:

-225

Step-by-step explanation:

-30*7=-210

-210-15=-225

please give brainliest

If the ratio of the model car was 2:35 then what would be the actual length of the car??
PLEASE HELP AND SHOW WORK

Answers

The actual length of the car based on the model will be 350 inches.

How to calculate the ratio?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:

= 20 ÷ 2/35

= 20 × 35/2

= 350 inches.

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Complete question

The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??

Select the values that make the inequality 5u> -80 true. Then write an equivalent
inequality, in terms of u.
(Numbers written in order from least to greatest going across.)
-26
0 -17
0-13
0 -21
☐ -16
Submit Answer
0 -11
Equivalent Inequality: u
□ -19
0-15
-6

Answers

The value u > -16 that makes the inequality 5u > -80 is true.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

We have the inequality,

5u > -80

To find the solution set of the inequality;

Divide by 5 to both sides,

5u/5 > -80/5

u > -16.

That means, the inequality is true for u > -16.

Therefore, the inequality is true for u > -16.

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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
0/1
Write the ratio of ponies and goats to rabbits and
sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.

Answers

Answer:

3/7

Step-by-step explanation:

3 ponies + 3 goats = 6 total

8 rabbit + 6 sheep = 14 total

6/14 simplified is 3/7.

Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.

What is the approximate average fuel consumption rate, between the 100th kilometer and 400th kilometer?

Answers

Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.

What is the rate of change?

A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.

Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.

Since in the domain [100, 400] graph shows somewhat linear properties.

from the graph Fuel consumption at 100 = 375 liters

Fuel consumption at 400 = 125 liters

rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)

thus rate between [100, 400] = (375-125)/400-100

rate between [100, 400]  = 250/300

rate between [100, 400] = 5/6litere per kilometer

therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.

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Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.

Answers

The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.

Population - all of the households in New York City in 1900.

Variable - a quantity equivalent to the number of children in a randomly selected household

Parameter -  the mean number of children per household in New York City in 1900

Sample - the 200 households selected by the historian

Data - the 200 records collected by the historian

Statistic -  the mean number of children per household in the historian's sample.

Complete question:

Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.

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Write the expression as a unit rate.

Joyce painted 8 window frames in 5 hours while earning money for college.

What was her painting rate in window frames per hour?

What was her painting rate in hours per window frame?

Answers

joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

What is the unit rate?

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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In the figure, mzEDF = 42°. Which other angle must have the same measure?
OA. ZGDF
B. ZEGF
OC. ZDEG
D.
LEGD
D
42°
C
E
IL

Answers

In the quadrilateral, ∠GEF will be same as angle ∠EDF=42°°

A quadrilateral shape is what?

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example.

A parallelogram is a trapezoid, right?

A parallelogram has two pairs of parallel sides, whereas a trapezoid only has one pair. Consequently, a parallelogram is a trapezoid.

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Answer:

EGF

Step-by-step explanation:

Got it right on plato.

What is Destiny's hourly wage?​

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

or in this case, hourly wage :)

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{200}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{200}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{0}}} \implies \cfrac{ 200 }{ 10 } \implies \cfrac{20}{1}\cfrac{dollars}{hour}\qquad \textit{\$20 per hour}[/tex]

Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500÷10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500-H= 55 x 8

Answers

Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right

Here,

Given : $1,500 a week to a wage

$55 per hour

Thus ,

Taking all the information in concern

We get,

where d is the is he number of hour

120d + 1,500 = 110d + 2,500

Therefore , the solution to the given problem of inequality comes out to br

120d + 1,500 = 110d + 2,500.

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What is the coefficient of the variable in the expression 4 − 3x − 7 6 3 points?

Answers

The coefficient of the variable x  in the expression 4a+3x +a is 3

Given that,

The expression is 4a+3x +a which can be simplified as 4a+3x +a

To find : The coefficient of the variable x in the expression

The coefficient of x in 4a+3x +a is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

Coefficient is the number that is beside the variable in the equation.

As we can see that the term that is in multiplication with x is 3

Hence, the coefficient of x in the equation  is 3

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GEOMETRY:
I might just be slow but I don't understand what this question is asking at all. Can someone help?

Answers

Answer:

[tex]b = 90[/tex]

[tex]d = 100[/tex]

[tex]c = 80[/tex]

Step-by-step explanation:

The problem is asking for the values of the variables [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] in the given parallelogram with angles [tex]d\textdegree[/tex], [tex]c\textdegree[/tex], [tex](b-10)\textdegree[/tex], and [tex](b+10)\textdegree[/tex].

To solve for these variables, we can construct three equations using the knowledge that any two adjacent angles of a parallelogram are supplementary (their measures add to 180º).

The first equation shows that the top two angles are supplementary:

[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]

The second equation shows that the bottom two angles are supplementary:

[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]

The third equations shows that the left two angles are supplementary:

[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]

First, we can solve for [tex]b[/tex] in the second equation using simple algebraic manipulation.

[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]

[tex](b+b)\textdegree + (10-10)\textdegree = 180\textdegree[/tex]

[tex]2b\textdegree = 180\textdegree[/tex]

[tex]b\textdegree = 90\textdegree[/tex]

[tex]b = 90[/tex]

Using this [tex]b[/tex]-value, we can solve for [tex]d[/tex] by rewriting the third equation, plugging [tex]90[/tex] in for [tex]b[/tex]:

[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]

[tex]d\textdegree + (90-10)\textdegree = 180\textdegree[/tex]

[tex]d\textdegree + 80\textdegree = 180\textdegree[/tex]

[tex]d\textdegree = 100\textdegree[/tex]

[tex]d = 100[/tex]

Finally, we can solve for [tex]c[/tex] in the first equation by plugging [tex]100[/tex] in for [tex]d[/tex]:

[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]

[tex]100\textdegree + c\textdegree = 180\textdegree[/tex]

[tex]c\textdegree = 80\textdegree[/tex]

[tex]c = 80[/tex]

Which one of these is correct? Could you explain

Answers

Because we have a x² leading term, this inequality is a quadratic and can be written in standard form.

Quadratic Standard Form:

ax²+bx+c=0

Replace = sign with <:

ax²+bx+c<0

So, we want to get 0 on the right side of the inequality to be in standard form.

To do this, we’ll add 18 to both sides:

x²-9x+18<0

This cancels out the -18 on the right, making it 0 because -18+18=0, and of course to keep the equation equal, we must add 18 to the left side as well.

Now, let’s understand the inequality. In standard form, a quadratic is equal to 0 to find the zeros. This is so that we can find what x-values will produce an output (y-value) of 0, as a y-value of 0 means no vertical change. It shows what x-values intercept the x-axis, which are the zeros (or roots) of the quadratic. Therefore, this inequality means: what x-values are less than 0, or go below the x-axis. To find this, we will factor the quadratic to see what x-values produce y-values less than 0.

Factor:

We know that -3-6=-9 and -3•-6=18

(x-3)(x-6)<0

So, the zeros of the function are x=3, 6. However, for x-values 3 and 6, the output is 0 since these values are x-intercepts. The inequality states less than 0, so we need look at x-values that produce a negative output.

So, if x=3, 6, then x>3 and x<6. Let’s look at the graph:

Is parallel processing always faster?

Answers

Only when each iteration is sufficiently time-consuming in terms of CPU usage does parallel programming become more effective.

Parallel processing: What is it?

The term "parallel processing" is used to deliver simultaneous data-processing activities, which is utilized to increase the computing performance of computer systems. Additionally, a parallel processing system has the ability to process input concurrently for quicker execution times.

As an illustration, when an instruction is being carried out in an ALU, the following instruction may be read from memory. The system may be equipped with two or more ALUs and be able to carry out multiple instructions at once.

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find the area of the region enclosed by one loop of the curve. r = sin(6θ)

Answers

Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

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Pls help me do this i need hwlp if any one can figure if out

Answers

Considering that the quadrilateral EFGH is similar to quadrilateral IJKL the side LI is calculated to be

30.6

How to find the side LI

The side LI is calculated using the concept of similar polygons. This concept allows for the sides to be proportionally equal to each other.

This implies that the factor used for any side will produce same result

let the factor be r and using side HG and JK to solve for the factor r

HG * r = JK

where

HG = 16

JK = 51

substituting the values and solving for r

HG * r = JK

16 * r = 51

r = 51/16

and HE * r = LI

where HE = 9.6

LI = 9.6 * 51/16

LI = 30.6

hence side LI = 30.6

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Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10

Answers

The solution of this system of linear equations is x=3, y=-5.

To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:

From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:

4((11+y)/2) + 8y = 24

3((11+y)/2) + 2y = 15

Solve for y in the first equation: 8y = 24 - 44 = -20

y = -5

Substitute this value of y back into equation 2 to find x:

x = (11 + (-5))/2

x = 3

Substitute the values of x and y back into the original equations to check if they are correct:

4(3) + 8(-5) = 24

3(3) + 2(-5) = 15

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The question is -

Solving a system of linear equations in two variables,

4x + 8y = 242x - y = 113x + 2y = 15

F(x)=5-3x find f(x+2)

Answers

Answer:

f(x + 2) = - 3x - 1

Step-by-step explanation:

substitute x = x + 2 into f(x) , that is

f(x + 2)

= 5 - 3(x + 2)

= 5 - 3x - 6

= - 3x - 1

Given f(x)=5−3x

Put x=x+2, we get,
f(x+2)=5−3(x+2)

∴f(x+2)=5−3x−6

∴f(x+2)=−1−3x

Zachary plans to collect $0. 30 from each person that comes to the party to cover the cost of the candy.


How many people will need to come to the party to cover the entire cost of the candy

Answers

In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.

How much candy per person?

We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.

Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.

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HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY

Answers

The table that is a justification for the given solution to the system of equations is table 1

How to determine the table that bears the correct values?

The two linear equations are

y=4x-9 and

y=2x-5

We that the following points for x : -1, 0, 1, 2, 3

When we substitute the values in the two equations we will have

x           y₁              y₂

-1         -13             -9

0           -9             -5

1             -5            -3

2            -1              - 1

3            3                1

Conclusively the values of y₁, and y₂ are shown in the table above

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I need help with question 9. It’s all about functuons

Answers

Answer:

gay

Step-by-step explanation:

gayayayayayayaydyfyfaygaygagya

Blank times 9 minus blank times 4 equals blank minus blank equals blank. You have to use the numbers 9,7,4,3 only. ​

Answers

The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.

On solving the question we will get the answer of the final blank as 0.

The question can be rephrased as ,

__x 9 - __ x 4 = ___ - ___ = ___.

Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,

4 x 9 - 9 x 4 = 36 - 36 = 0

Therefore , we will get our desired answer.

A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.

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brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line

Answers

Answer:

Step-by-step explanation:

To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.

[asy]

unit size(1cm);

draw((-7,0)--(5,0));

draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);

dot("$P$", (-5/2,0), S);

dot("$Q$", (2 3/4,0), S);

dot("$R$", (1.25,0), S);

dot("$S$", (-3.5,0), S);

[/asy]

On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.

Why do we use similarity transformation?

Answers

The goal of using similarity transformations is to make the evaluation of a matrix's eigenvalues less complicated. In fact, the computation of the eigenvalues would be instantaneous if a given matrix could be translated into a similar matrix in diagonal or triangular form.

A geometric similarity or a matrix transformation that produces a likeness are both covered by the term "similarity transformation."

A conformal mapping with a similarity transformation is one whose transformation matrix A' has the formula A'=BAB⁻¹, where A and A' are referred to as similar matrices.

Space-based items are converted to equivalent objects by similarity transformations. Fractals and iterated function systems have a lot to do with similarity transformations and the idea of self-similarity.

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13. Solve for x. (show work)

Answers

Answer:

The value of x is 12.

i think it is correct.

we roll a fair 6 sided die 5 times. what is the probability that we get a one or a two in exactly 3 of the 5 rolls

Answers

The probability is 5/32.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

To roll exactly 4 odds out of 5 rolls is [tex](\frac{1}{2} )^{4}\frac{1}{2}[/tex]  where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.

Since there are 5 dice being rolled there are 5 ways to order them.

So the probability is 5/32.

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PLEASE HELP THIS IS URGENT!!!!!! Decide which of the following points are on the graph of the function y=2x+1

Answers

(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

What is a graph, exactly?

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

what a graph example?

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

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Can chronic diseases be treated? The dedication of citizens to the common welfare of their community or country, even at the cost of his or her individual interests. Both citizens and leaders are willing to set aside what they want for the common good, are called? we are writing to...... about the advertisement published in newspaper today Assume that last year you purchased a real asset, say a piece of land, for $150,000. You paid $30,000 down and borrowed the balance. The rate of inflation between last year and this year was 4%. If the value of this asset increased at exactly the rate of inflation, and you sold it this year (365 days later), the nominal rate of return on your $30,000 investment was: ______% (ignore the time value of money). how would you distribute or display minutes of a WHS committee meeting? What pricing concept considers the price that other providers charge for the same product? a. Demand-based concept b. Total cost concept c. Cost-plus concept d. Competition-based concept What is the purpose of an argument?(1 point) Responses to share an opinion that is supported by evidence to share an opinion that is supported by evidence to list evidence you want to share with readers to list evidence you want to share with readers to explain ways someone might disagree with you to explain ways someone might disagree with you to give facts about an informational topic Output Quantity Produced in 2019 Prices in 2019 Quantity Produced in 2020 Prices in 2020 Chocolate 15,000,000 bars $1.00 per bar 15,000,000 bars $1.75 per bar ________ 4. Refer to Table 2. Based on this information, we can conclude that the production of chocolate: A. increased both nominal and real GDP from the previous year. B. increased nominal GDP from the previous year, but real GDP was unaffected. C. increased real GDP from the previous year, but nominal GDP was unaffected. D. decreased nominal GDP from the previous year, but real GDP was unaffected. E. did not change either nominal or real GDP from the previous year. F. decreased both nominal and real GDP from the previous year. (5 x 7) + (n x 4) = 5 x (7+ 4) write each missing number What municipal government means? the sympathetic trunks are located immediately lateral to the ______. What is 10/83 simplified Reduce 17/5 to It lowest term factor the trinomial 2xsquared + 5x -42 A jacket normally sells for $27.50.it is on sale for 20%what is the new price An algebraic expression 2x + 2xy is trinomial algebraic expression true or false 1. Assertion:Amobea is unicellular organism and has no organs forbreathing.R: Respiration of amobea is by diffusion. A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case Martin Company expects to have a cash balance of $135,000 on January 1, 2017. Relevantmonthly budget data for the first 2 months of 2017 are as follows: Collections from customers: January $246,500, February $435,000. Payments for direct materials: January $155,000, February $240,000 Direct labor: January $90,000, February $135,000. Wages are paid in the month theyare incurred. Manufacturing overhead: January $63,000, February $75,000. These costs includedepreciation of $5,000 per month. All other overhead costs are paid as incurred. Selling and administrative expenses: January $45,000, February $60,000. These costsare exclusive of depreciation. They are paid as incurred. Sales of marketable securities in January are expected to realize $36,000 in cash.Martin Company has a line of credit at the local bank that enables it to borrow up to$75,000. The company wants to maintain a minimum monthly cash balance of $60,000.Instructions(a) Prepare a cash budget for January and February.(b) Martin Companys chief financial officer feels that it is important to have data for theentire quarter especially since their financial forecasts indicate some difficult economicperiods in the coming year. March information has been budgeted as follows: Collections from customers: $375,000 Payments for direct materials: $206,000 Direct labor: Wages paid in March $116,000 Manufacturing overhead: $64,500. This includes the monthly depreciation of$5,000. Selling and administrative expenses: $51,600. This cost is exclusive ofdepreciation. Marketable securities of $50,000 can be sold if needed for additional cash.(1) Prepare a cash budget for March assuming that the company does not sell themarketable securities.(2) What is the maximum amount the company can borrow during March? Does thisprovide the company with an adequate ending cash balance?(3) How much does the company need to borrow if the marketable securities are sold?(4) Comment on the status of the companys cash budget for March. What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)