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2 months ago

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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.

We can use derivative test to find maximum

Differentiate two times the profit funciton

Equate I derivative to 0

we get

II derivative is alrways negative

Hence profit is maximum when x=40

Option A is right

Question

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.

Note that any number multiplied by zero is still 0.

This implies that:

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.**

Question

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 Β and spend 4 so ($10-$4)

Question

Which equation has an a-value of 1, a b-value of β3, and a c-value of β5?

Solution 1

Answer:

Step-by-step explanation:

The standard quadratic equations are given in the form of

Comparing the values of a , b and c and putting a=1 , b=-3 and c=-5 in the equation we get our quadratic polynomial as

Solution 2

C-b=-2a If that is a possibility.

Question

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

Measure of B = 35 degrees more than three times measure of A

Sum of three angles = 180

Hence if , we get

Hence angles are

Question

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:**

**Step-by-step explanation:**

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

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

The problem tell us:

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

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.

Question

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

Solution 1

**Answer:**

Option D

**Step-by-step explanation:**

we have

Simplify

we know that

In a difference of square

Remember that

therefore

Solution 2

The answer is d.Β

Explanation:

To start with, classify the first two terms and factor out the common factor. i.e m is a common factor ofΒ 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 ofΒ 6m-36. By factoring out, 6(m-6)

Regrouping

m(m-6)+6(m-6)

By factoring out (m-6), we get:

(m-6)(m+6)

Explanation:

To start with, classify the first two terms and factor out the common factor. i.e m is a common factor ofΒ 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 ofΒ 6m-36. By factoring out, 6(m-6)

Regrouping

m(m-6)+6(m-6)

By factoring out (m-6), we get:

(m-6)(m+6)

Question

Simplify the expression -2b-6+3b-2

Solution 1

The expression can be simplified as:

b-8

b-8

Question

In sondras math class the teacher gives all of the students the digram below where ab is perpendicular to bc and ac is perpendicular to bd. sondra works with her classmates to prove that triangle abc, triangle abd and triangle bdc are all similiar right triangles. based on the similarity of the three right triangles, show (AB)2 + (BC)2 = (AC)2

Solution 1

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.

Question

20 POINTS!! How much should a mother invest at the time her son is born in order to provide him with $50,000 at age 21β? Assume that the interest is 6β% compounded annually.

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

Question

Which of the following is equivalent to (cd)5?
c5d
cd5
c5d5
5cd

Solution 1

If you would like to find the equivalent expression to (c*d)^5, you can do this using the following steps:

(c*d)^5 = c^5*d^5 = c^5d^5

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

(c*d)^5 = c^5*d^5 = c^5d^5

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

Solution 2

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

the third option C, just took the test.

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