-1
4
lates the selling price of an item to the
quantity x that is sold. Assume that p is in dollars.
What is the Revenue as a function of x?
x+60, (0≤x≤20
Suppose that the function p=
How many items must be sold to generate the maxir
evenue?
=) What price generates this maximum revenue?
What is the maximum revenue possible?

Answer:

The prime factors are: 2 x 3 x 3 x 5 x 7

or also written as { 2, 3, 3, 5, 7 }

Written in exponential form: 2 x 3 × 3 x 5 ×1  x 7×1

Answer:y=x+4

Step-by-step explanation:

It's y=x+4 because the y-intercept is 4 and the x intercept is -4. To find slope, do 4/4 which is 1.

The minimum side length of the triangle needed to complete the triangle is 5 feet.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two sides of the triangle are 7 feet and 3 feet.

Let a = 7 and b = 3.

The minimum possible value,

= Max(a, b) - Min(a, b) + 1

= 7 - 3 + 1

= 5 feet.

Therefore, the minimum length is 5 feet.

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Answer:

The graph that best represents the slope is Graph A.

Hope this helps!!

Answer:

0.12245454545 (Quotient = 0 Remainder = 2.694)

Step-by-step explanation:

Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694

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Answer:

The sample size is 1875.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Sampling error of 0.03.

This means that \(M = 0.03\)

99.74% confidence level

So \(\alpha = 0.0026\), z is the value of Z that has a pvalue of \(1 - \frac{0.0026}{2} = 0.9987\), so \(Z = 3\).

25% of all adults had used the Internet for such a purpose

This means that \(\pi = 0.25\)

What is the sample size

The sample size is n. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 3\sqrt{\frac{0.25*0.75}{n}}\)

\(0.03\sqrt{n} = 3\sqrt{0.25*0.75}\)

Simplifying by 0.03 both sides

\(\sqrt{n} = 100\sqrt{0.25*0.75}\)

\((\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2\)

\(n = 1875\)

The sample size is 1875.

Using the concept of similar triangle, the width of the river is 42.3m

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have proportional corresponding sides and equal corresponding angles. The concept of similarity is based on the idea that if two triangles have corresponding angles that are equal, then their corresponding sides are in proportion.

In the given problem, we can take proportion of similar sides and set a ratio between them.

AB/DE = AC/CD

Plugging the values into the proportion above;

AB/18.6 = 79.6/34.2

Solving for AB;

AB = (79.6 * 18.6) / 34.2

AB = 42.3m

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Answer:

let

custard pie be x

Step-by-step explanation:

1/7 x = 185

x=185× 7

x=1395

1/8 of x= 1395/8

1/8 of x=174.3

1/4 of x = 1395/4

=348.75

1/6 of x =1395/6

=232.5

Answer:

Step-by-step explanation:

Hi

Answer:

13.24

Step-by-step explanation:

Your buying a shirt not shorts

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

\(\large\boxed{\frac{1}{8}\ \text{miles}}\)

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in \(\frac{3}{4}\) by \(2\) to get \(\frac{6}{8}\), which is equivalent. Now, both numbers have a denominator of \(8\) and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

\(\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}\)

Answer:

The equation that models the situation is \(y = 8 - 0.75t\)

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, has the following format:

\(y = mx + b\)

In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.

A candle is 8 inches tall and burns at 3/4 inch each hour.

Using t as number of hours and y as the height.

Initial height of 8 inches, that is, when \(t = 0, y = 8\), so \(b = 8\)

Burns at 3/4 inch each hour.

That is, the height decreases by a rate of 3/4 inch each hour, so \(m = -\frac{3}{4} = -0.75\)

So

\(y = 8 - 0.75t\)

Answer:

b, c, e

Step-by-step explanation:

Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.

Answer:

B, c,e

Step-by-step explanation:

Hope this helps!

Answer:

j

Step-by-step explanation:

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

a is correct

Step-by-step explanation:

sides get reduced by a half

angles don't change

Answer:

The Answer is A)

Step-by-step explanation:

sides get reduced by a half

angles don't change AND CAN YOU MAKE ME THE BRAININIEST.

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

Ratio=Lemon juice: Sugar: Water=1:2:8

Table spoons sugar needed=6×2=12

Table spoons water needed=6×8=48

Since 1 cup equals 16 tablespoons

Hence,

Sugar

12 tablespoons=1/16×12 cup

12 tablespoons=3/4 cup

Water

48 tablespoons=1/16×48

48 tablespoons=3 cups

Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

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The number of apartment units needed to fill the shortage is 7.96 × 10⁶ residential apartment units.

The number of apartment units needed to fill the shortage is the same as the shortage itself, which is 7.96 × 10⁶ residential apartment units.

In the given statement, it is mentioned that there is a shortage of 7.96 × 10⁶ residential apartment units. This means that the current supply of apartment units in the United States falls short by that amount. To fill this shortage, an additional 7.96 × 10⁶ apartment units would be required.

Therefore, the number of apartment units needed to fill the shortage is 7.96 × 10⁶ residential apartment units.

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The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

348

Step-by-step explanation:

12 times 20 is 240.

then if 9 eggs are laid by each hen it would be 12 times 9 which is 108

and 240+108 is 348

An Annual is not an example of an agreement.

Answer:a. 17,570 b. 48.14

Step-by-step explanation:

Explanation:

The general sine equation is

y = A*sin(B(x-C)) + D

where the D variable directly determines the midline. In this case, D = -3, so that corresponds to a midline of y = -3

The sine curve oscillates going up and down, passing through this middle horizontal line infinitely many times. See the graph below.

Answer:

A) y = –3

Step-by-step explanation:I took the test

Answer:

1320 ways

Step-by-step explanation:

To solve we need to use permutations and factorials. If we wanted to find where they would all place 1-12, we would do 12!

12! is the same as 12x11x10x9x8... etc

But in this problem, we are only looking for the top 3.

We can set up a formula

\(\frac{n!}{(n-r)!}\)

N is the number of options that are available and r represents the amount we are choosing

In this case, we have 12 teams so n=12

We are looking for the top 3 so r=3

\(\frac{12!}{(12-3)!}\)

\(\frac{12!}{9!}\)

We expand the equation and cancel out

\(\frac{12x11x10x9x8x7x6x5x4x3x2}{9x8x7x6x5x4x3x2}\)

Notice how both sides can cancel out every number 9 and below

That leaves us with 12x11x10

1320 ways

The possible ways for the gold, silver, and bronze medals to be awarded is 1320

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Given that, there are 12 teams, each representing a different country, in a women’s Olympic basketball tournament.

We need to find that, in how many ways is it possible for the gold, silver, and bronze medals to be awarded,

Using the concept of permutation, to find the number of ways

ⁿPₓ = n!/(n-x)!

= 12! / (12-3)!

= 12! / 9!

= 1320

Hence, the possible ways for the gold, silver, and bronze medals to be awarded is 1320

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Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Answer:

Mean = 0.4

Stand deviation = 0.08944

Step-by-step explanation:

1.

This question tells us that the mean of trapped moths is only 0.4

Therefore the mean = E(X) = 0.4

2.

The standard deviation of the sample mean is

= σ/√n

σ = 0.6

n = 45

When we put these values into the formula we will have:

0.6/√45

= 0.6/6.708

= 0.08944

So in conclusion, the mean is 0.4 and the standard deviation is 0.08944.

Thank you!