a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why?

We have to write an equation from the word problem,

Four subtracted from the product of 5 and a number is 51

Let's break it down:

--- product of 5 and a number can be written as,

--- four subtracted from "product of 5 and a number" can be written as,

^^ All this is equal to 51, so we can write,

To find the unknown number, we solve the above equation. The steps are shown below:

Step-by-step explanation:

I just answered this. how often did you post this basic question ?

Answer:

Sue travels 8 miles per hour.

Step-by-step explanation:

So, here we have that there are 175+63 = 238 birds in total.

We want to know the ratio of ducks to the total number of birds flying overhead. There are 175 ducks for a total of 238, so the ratio is:

175:238

Answer:

The slope is o.   The line will be vertical and the equation of the line is y = -5

Step-by-step explanation:

First solution

(x-3)=11

x=11+3

Second solution

-(x-3)-11

multiply by -1 both sides

x-3=-11

x=-11+3

therefore

answer is

-8,14

Answer:

n = 13

Step-by-step explanation:

For this, you need to square all of the numbers and then add them together. Most of the time, you can put them into a calculator but I will work it out below.

Squaring means multiplying a number by itself, so we get:

3² + 4² +12² =n²

Turns into:

(3*3) + (4*4) +(12*12) = n²

Then work out the multiplication:

9 + 16 + 144 = n²

Add everything together

169 = n²

Now take the square root of each side:

[tex]\sqrt{169} =\sqrt{n^{2}}[/tex]

This comes out to be:

± 13 = n

The question asks for the positive number, so you answer is:

n = 13

The probability that rose identifies all 3 cards in the correct order is 1/132,600 by the concept of permutation.

It is the separate arrangements of a given number of associates taken all at once, or some of them, or just a few of them. There are two possible meanings, AB and BA, for instance, if we have the two elements A and B.

Following the arrangement of 'r' items from a total of 'n' elements, the number of permutations is,

nPr = n! / (n – r)!

Here to obtain the probability in correct order use permutation formula

Recall that, Probability is calculated as favorable outcomes divided by all possible outcomes.

Favorable number of outcomes = 1 (as only one order is correct)

Total outcomes = 52p3 (since 3 cards to be arranged from pack of 52)

So, the probability of rose identifies all 3 cards in correct order =1/52p3

Probability = [tex]\frac{1}{52!/(52-3)!}[/tex]

Probability = 49! /52!

Probability = 49! /52*51*50*49!

Probability = 1/52*51*50

Probability = 1/132,600

Therefore, the probability that rose identifies all 3 cards in the correct order is 1/132,600.

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Answer:

option d is the correct answer

Answer:

option A

Step-by-step explanation:

put x= 4 in condition 4<=x<8

as it satisfied condition

and put x= 2.1 in condition 2<x<4

The expression represents a quadratic polynomial with two terms. The constant term is [tex]-\frac{1}{6}[/tex], the leading term is [tex]x^{2}[/tex], and the leading coefficient is [tex]-1[/tex].

The given expression is [tex]-x^{2}-\frac{1}{6}[/tex].

We have to complete the given sentence;

The expression represents a ........... polynomial with ........terms. The constant term is .........., the leading term is..........., and the leading coefficient is ....................  .

we first complete the given sentence then we explain the sentence.

The expression represents a quadratic polynomial with two terms. The constant term is [tex]-\frac{1}{6}[/tex], the leading term is [tex]x^{2}[/tex], and the leading coefficient is [tex]-1[/tex].

Firstly about Quadratic Polynomial

When the highest degree term in a second-degree polynomial equals to 2, the polynomial is said to be quadratic.

Now about Constant Term

A number that is constant and does not have any variables in an algebraic expression is a constant term.

Now about Leading Coefficient

The numbers placed in front of the variable with the biggest exponent are known as leading coefficients.

Hence, the expression represents a quadratic polynomial with two terms. The constant term is [tex]-\frac{1}{6}[/tex], the leading term is [tex]x^{2}[/tex], and the leading coefficient is [tex]-1[/tex].

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Answer: (3,11)

Step-by-step explanation:

Answer

ST = 14

According to the diagram

UV = VW

ST = UT

UT = VT - UV

UV = 14 and VT = 29

UT = 29 - 14

UT = 15

SInce UT = ST, Therefore, ST = 14

We will have the following:

Answer:

$33.75

Step-by-step explanation:

22.9% of $43.75 = $10.0

43.75 - 10.0 = $33.75

Hope that helps

Answer:

$35.60

Step-by-step explanation:

I cross multiplied related numbers:

[tex]\frac{43.75}{x}[/tex]=[tex]\frac{122.9}{100}[/tex] cross multiply

4375=122.9x, divide both sides by 122.9

35.598=x round to hundredths

35.60

Answer:

Step-by-step explanation:

It should be option D

Find the scale factor by dividing the real length by the map length. Since Sonoma's house is 5 miles away from Paige's house but they appear 7cm appart in the map, then the scale factor is:

Answer: Here the correct option is 2) 58, 16, 00, 96, 95, 38, 39, 94, 04, 32

Step-by-step explanation:

Answer:

slope = 3/7

Step-by-step explanation:

Locations of points: (-4 , 1) and (3 , 4)

slope = rise / run

between two plotted points this means that:

slope = change in y / change in x

slope = (4 - 1) / (3 - (-4))

slope = (4 - 1) / (3 + 4)

slope = 3/7

The correct transformations are;

1. Reflection, then a translation

2. Rotation, then a reflection ​

3. Translation, then a rotation.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Triangle XWY is transformed to produce triangle URL.

Now,

The images arise from transformation should remain the same with respect to the size or shape.

So, we get;

The correct transformations are;

1. Reflection, then a translation

2. Rotation, then a reflection ​

3. Translation, then a rotation.

Thus, The correct transformations are;

1. Reflection, then a translation

2. Rotation, then a reflection ​

3. Translation, then a rotation.

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Sphere solid is generated when the semicircle is rotated about the line.

Given,

The semi circle is rotated about the line.

To find the what solid is generated?

Now, According to the question:

We know that when a semicircle is rotated about any line then the three dimensional figure or a solid that is formed on this rotation transformation is Sphere.

Hence, Sphere solid is generated when the semicircle is rotated about the line.

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The associative property of multiplication states that you can choose any pair of numbers to multiply first when there are more than two numbers being multiplied. This doesn't change the final result:

a . b . c = (a . b) . c = a . (b . c)

So, we see an example of such property in the first option:

7 . (3 . 5) = (7 . 3) . 5

Let's check this is indeed true:

7 . (3 . 5) = 7 . 15 = 105

(7 . 3) . 5 = 21 * 5 = 105

Therefore, the first option is correct.

Notice that the second option uses the distributive property of multiplication over addition:

a . (b + c) = a . b + a . c

The third uses the commutative property of multiplication:

a . b = b . a

The fourth is wrong since zero multiplied by any number is zero, not one:

0 . a = 0, for all values of a.

Answer:

3/4

Step-by-step explanation:

9/12  Divide the top and bottom by 3

3/4

Answer:

7n-18

Step-by-step explanation:

The working out is attached. Hope it helps!

The ratio between cups of beans and cups of rice is 10/13 . Option C

A ratio can described as an ordered pair of numbers, like y and z, that is written mathematically in the form y / z where the denominator of the fraction is not equal to zero.

It is known to describe the number of times an element or number contains another number proportionally.

It is also seen as the comparison of two quantities, elements or numbers that has the same units and likewise, explains how much one of the elements or quantity is found in the another one.

This is done based on their sizes or magnitudes.

A proportion is a mathematical equation with two ratios set equivalent or equal to each other.

Given that;

Beans = 2 1/ 2 cups

Rice = 3 1/4 cups

Convert to mixed fractions;

Beans = 5/2

Rice = 13/4

Now, divide the cups of beans by that of rice;

= 5/ 2 ÷ 13/4

= 5/2 × 4/13

= 10/13

Hence, the ratio is 10/13

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Considering the given function, it is found that 3000 books were sold after eight months.

The function in this problem is defined as follows:

f(x) = 1000(∛x) + 1000

In which f(x) represents the number of books sold after x months.

After eight months, we have that x = 8, hence the number of books is calculated as follows:

f(8) = 1000(∛8) + 1000

The lone instance of x in the function was replaced by eight to find the numeric value.

The cube root of eight is calculated as follows:

8 = 2 x 2 x 2 = 2³

Hence:

∛8 = 2

Thus the numeric value of the expression is:

f(8) = 1000(∛8) + 1000 = 1000 x 2 + 1000 = 2000 + 1000 = 3000 books.

The graph of the situation is given by the image at the end of the answer, at a domain of x >= 0, as the number of months cannot assume negative values.

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Answer:

The approximate cost during the years 1987 was $7527

Explanation:

The midpoint formula is:

For two given points.

In this case, we can see in the graph the points (1983, 5021) and (1991, 10033)

Then, using the midpoint formula:

Thus, the approximation for the year 1987 is $7527