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The profit P (in hundreds of dollars) that a company makes depends on the

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2 What expenditure for advertising will yield a maximum profit? A) 40 B) 0.5 C) 230 D) 20

2 months ago

Solution 1

Guest Guest #1627032
2 months ago

Answer:

Option A

Step-by-step explanation:

Given that The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model.

P(x) = 230 + 40x - 0.5x^2

We can use derivative test to find maximum

Differentiate two times the profit funciton

P'(x) = 40-x\\P"(x) = -1

Equate I derivative to 0

we get

x=40

II derivative is alrways negative

Hence profit is maximum when x=40

Option A is right

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The binary pattern 01000001 represents the number 65. Write a brief response explaining whether you believe this statement is always true. Explain your reasoning.
Solution 1

Answer:

TRUE

Step-by-step explanation:

The given binary expression is 01000001.

We convert to a decimal numeral to see if is actually 65.

01000001_2=0*2^7+1*2^6+0*2^5+0*2^4+0*2^3+0*2^2+0*2^1+1*2^0

Note that any number multiplied by zero is still 0.

This implies that:

01000001_2=0+1*64+0+0+0+0+0+1*1

01000001_2=64+1

01000001_2=65

Therefore the given binary pattern represents the number 65.

Solution 2

Answer: This statement is not always true. It can represent another number when the byte size is different. If the byte size is 4, then it would represent two numbers, 64 and 1.

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Drew weekly allowance is $8.00. Jan weekly allowance is $10.00. Drew spends $3 a week and Jan spends $4 a week. Write 2 expressions to show how much money each person has at the end of the week. Use parentheses.
Solution 1

Answer:

jan $10-$4

drew $8-3$

Step-by-step explanation:

Drew has 8 and spend 3 so ($8-3$)

Jan has 10  and spend 4 so ($10-$4)

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Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?
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Answer:

x^2-3x-5

Step-by-step explanation:

The standard quadratic equations are given in the form of

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In triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A. The measure of angle C is 57 degrees more than the measure of angle A. Find the measure of each angle. What is the measure of angle A? _____ What is the measure of angle B? _____ What is the measure of angle C? _____
Solution 1

Answer:

Step-by-step explanation:

Given that in a triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A.

Measure of C = 57 degrees more than measure of A

Angle C = Angle A +57

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Hence if Angle A = x, we get

x+x+57+3x+35 =180\\5x+92 =180\\5x =88\\x=17.6

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The diameter of Earth's moon is on average m. Use the formula to find the approximate surface area. (Use 3.14 for the value of .) to find the surface area
Solution 1

Answer:

S.A= \pi m^2 \approx3.14m^2

Step-by-step explanation:

If we consider the moon as a sphere, we can find its surface area using the following formula:

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As you may know, the length of he diameter is twice the length of the radius, so:

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The problem tell us:

d=m

Therefore, the surface area of Earth's moon is:

S.A=4\pi (\frac{m}{2} )^2 =4\pi \frac{m^2}{4} =\pi m^2 \approx3.14m^2

Solution 2

Answer:

3.14 * m2

Step-by-step explanation:

You need to use the surface formula of sphere:

4 (pi) r^2

The radio r is the half of the diameter, which in this case is m. So r = m/2

Surface= 4*(3.14)(m/2)^2

= 4*3.14*(m^2)/(2^2)

= 4 * 3.14 * m^2 / 4 { here we can cancel the numbers 4, as one multiplies an the other divides)

= 3.14 * m^2

Replace the m for its value and get the surface.

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The diagram represents a difference of squares. What are the factors of m2 – 6m + 6m – 36? a. (m – 2)(m + 18) b. (m – 3)(m + 3) c. (m – 4)(m + 9) d. (m – 6)(m + 6)
Solution 1

Answer:

Option D (m-6)(m+6)

Step-by-step explanation:

we have

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Simplify

m^{2} -6m+6m-36=m^{2} -36

we know that

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Remember that

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Solution 2
The answer is d. 

Explanation:
To start with, classify the first two terms and factor out the common factor. i.e m is a common factor of m2-6m. By factoring it out we get m(m-6).

Follow the same procedure for terms three and four. ie
6 is a common factor of 6m-36. By factoring out, 6(m-6)
Regrouping
m(m-6)+6(m-6)
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(m-6)(m+6)
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Solution 1
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Given the set up of the diagram, AB^2 will equal AC x AD and BC^2 will equal AC x DC. To solve, substitute AB^2 + BC^2 with (AC x AD) + (AC x DC). Then, take out like terms through the distributive property: AC (AD + DC). AD + DC is equal to AC. So, AC x AC = AC^2.
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Solution 1

Step-by-step explanation:

x * 1.06^21 = 50,000

x * 3.3995636 = 50,000

x = 12,513.6524 --> $12,513.66

Solution 2

Answer:

I just need the points

Step-by-step explanation:

1. 1 times 1 is 1

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The correct result would be c^5d^5.
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The correct result would be c^5d^5.

the third option C, just took the test.

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