to rent a van a moving company charges $40.00 plus $0.50per miles

The profit on one standard DVD player is $59 and on one portable DVD player is $69.

If there are s number of standard DVD player then total profit on standard DVD players is $59s. Simillarly total profit on portable DVD players is $69p.

The total profit on DVD player shoul be at least $345, which means total profit on DVD players is $345 or more than $345.

The linear inequalty for total profit is,

The graph of the linear inequality is,

In graph, lines pointing away the origin represent the region for the equation.

Step 1 : To determine the area of the rhombus

Therefore the area of the rhombus = 112m²

S = 2(a*b + a*c + b*c)

= 2 (12*15 + 12*6 + 15*6)

= 2 (342)

= 684 ft^2

The values of f(0), f(2) and f(-2) for the polynomial f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex] are 12, 28 and 52 respectively.

According to the question,

We have the following information:

f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex]

Now, to find the value of f(0), we will put 0 in place of x.

f(0) = [tex]-0^{3} +7(0)^{2} -2(0)+12[/tex]

f(0) = 0+7*0-0+12

(When a number has some power then it means that in order to solve this we have expand the expression and multiply the number as many times as the power is given. For example, in the case of 3 as power, we will multiply any number 3 times and in case of 2 as power, we will multiply the given number 2 times.)

f(0) = 0+0-0+12

f(0) = 12

Now, to find the value of f(2), we will put 1 in place of x:

f(2) = [tex]-2^{3} +7(2)^{2} -2(2)+12[/tex]

f(2) = -8+7*4-4+12

f(2) = -8+28-4+12

f(2) = 40 -12

f(2) = 28

Now, to find the value of f(2), we will put -2 in place of x:

f(-2) = [tex]-(-2)^{3} +7(-2)^{2} -2(-2)+12[/tex]

f(-2) = -(-8) + 7*4+4+12

f(-2) = 8+28+4+12

f(-2) = 52

Hence, the value of f(0) is 12, f(2) is 28 and f(-2) is 52.

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100,000π ft³

1) Let's find the volume of that Cylinder using this formula:

Note that the volume is the area of the base (a circle) times the height

2) Also, notice that in the picture we have the diameter, the radius is half the Diameter:

3) So the volume is 100,000π ft³

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?​.

Solution:

Let the function f(x) whose second derivative is:

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

that is:

EQUATION 2:

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

That is:

Solve for C1:

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

Then f(5) would be:

then the correct answer is:

FOR THE PAIRS TO BE OPPOSITE IT MEANS THE NUMBERS SHOULD ALSO CONTRAST IN SIGNS.

47 AND -47 ARE OPPOSITE

74 AND - 74 ARE OPPOSITE

|4|=4 AND -4 ARR OPPOSITE

47 AND |-47|=47 ARE NOT OPPOSITE BECAUSE THEY BOTH HAVE THE SAME SIGNS.

THE LAST OPTION IS THE ANSWER.

In this case, Cai is right.

Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.

For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).

It is expected that the cost of gas will increase as the number of gallons increases and decrease as the number of gallons decrease. This is a direct proportion

As such, if

12 gallons of gas cost $26.68

15 gallons will cost 15/12 * $26.68

= $33.35

15 gallons of gas will cost $33.35

Answer:  $935

Step-by-step explanation:

Mr. Smith paid $935 in sales tax

Answer:

x ≤ 2

Explanation:

Given the inequality:

First, we subtract x from both sides.

Next, we subtract 3 from both sides.

SP = 2a+5

RQ= 5a-1

ST = 3b-3

SQ = 7b-9

RQ=?

TQ=?

SP = RQ

2a+5 = 5a-1

Solve for a

5+1 = 5a-2a

6 = 3a

6/3 = a

2=a

RQ= 5a-1 = 5(2)-1 = 10-1 = 9

RQ= 9

ST + TQ = SQ

ST= TQ

TQ= 3b-3

3b-3+3b-3= 7b-9

Solve for b

6b-6 = 7b-9

-6+9 = 7b-6b

3=b

TQ = 3b-3= 3(3)-3= 9-3 =6

TQ= 6

Let's begin by listing out the information given to us:

Cost of Radio (c) = $20

Jane's saving (s) = $15

% of radio cost saved = (Jane's saving / Cost of Radio) * 100%

Jane has saved 75% of the radio cost

The formula to find the volume of a cone is:

Then, we replace the know values in the above formula and solve for h.

The value of x is 12 units.

Given the quadratic equation:

Let's solve for the following:

• (a) g(-3)

To solve for g(-3), substitute -3 for x and evaluate.

Thus, we have:

Hence, we have:

g(-3) = 46

• (b) To determine the coordinates of the point given in question (a).

In the function, g(x) can also be written as y.

Thus, from g(-3), we have the following:

x = -3

y = 46

When x = -3, the value of y = 46

In point form, we have the coordinates:

(x, y) ==> (-3, 46)

Therefore, the coordinates of the given point by the answer in (a) is:

(-3, 46)

• (c) Evaluate g(2a).

To evaluate g(2a), substitute 2a for x in the equation and evaluate.

Thus, we have:

ANSWERS:

• (a) g(-3) = 46

• (b) (-3, 46)

• (c) g(2a) = 12a² - 10a + 4

The linear function to represent the number of mulch delivered to a site  is y = 29x + 35

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

For this question, we can represent the cost of having x cubic yards of mulch delivered to a site. For a standard linear function, it can be represented as y = mx + c

m = slope

c = intercept

We can use this concept to write a linear function to represent this problem:

y = mx + c

y = 29x + 35

In this case, the slope is 29 and the intercept is 35. The slope in this situation is the cost of the mulch and the amount charged by the business is the intercept.

The equation representing this problem is y = 29x + 35

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In order to find the values of f(0), f(1) and f(2), we just need to find in the graph for the value of the function (that is, the value of y) for the values of x equal to 0, 1 and 2 respectively.

Looking at the graph, for x = 0 we have y = -7, therefore f(0) = -7

For x = 1 we have y = -2, therefore f(1) = -2

For x = 2 we have y = -5, therefore f(2) = -5

Answer: You need to spend more than $5.00

Step-by-step explanation:

226.08

1) Since the area of the semicircle is half the circle area, then we can write:

2) So we can plug into that the size of that radius:

3) Hence, the area of that semicircle is 226.08 in²

We have the sequence: 40, 20, 10, 5,...

Each term is half the previous term, so it is a geometrical sequence with common ratio r = 0.5.

We can not complete the sequence, as it becomes infinitely smaller and does not have a last term.

But we can write the three next terms to complete the blank spaces: 2.5, 1.25, 0.625.

We can start by writing the recursive formula. We know that each term is half the value of the previous term, so we wil have:

From this recursive formula, we can deduce the explicit formula (in terms of n) as:

Answer:

a) Geometric sequence with r = 0.5.

The sequence first terms are: 40, 20, 10, 5, 2.5, 1.25, 0.625.

b) The recursive formula is a(n) = 0.5*a(n-1).

The explicit formula is a(n) = 40*0.5^(n-1).

We have the sequence, shown as a number triangle, where in each step we add 5 (that is the constant difference).

We can write:

1

6 11

16 21 26

31 36 41 46

51 56 61 66 71

76 81 86 91 96 101

106 111 116 121 126 131 136

141 146 151 156 161 166 171 176

Answer: The last number in row 8 is 176.

Answer:

thr last number in row eight is 176

We are given the following inequality

Let us first convert the inequality into slope-intercept form

Comparing this inequality with the standard slope-intercept form we see that

Slope = -3 and y-intercept = 4

So the graph of the inequality is

The area left to the red line represents the solution of the inequality.

Now we need to check if the point (1, 1) lies left to the red line.

We can clearly see that point (1, 1) is just left to the red line hence it is a solution.

Therefore, it is true.

We will have the following:

*Initially, as x increases, y decreases.

*The slope of the graph is equal to -1 for all x between x = 0 & x = 3.

*Starting at x = 3, the function value y increases as x increases.

*The slope of the graph is equal to 3 for x between x = 3 & x = 5.

*For x between x = 0 & x = 4, the function value y ≤ 0.

*For x between x = 4 & x = 8, the function value y ≥ 0.

Let the first end point be x1 y1 and the second x2 y2 the midpoint would be

x1 + x2 / 2 y1 + y2 / 2

Hence

(19 + x2)/2 = 4

19 + x2 = 8

x2 = 8 -19

x2 = -11

(-10 + y2)/2 =8

- 10 + y2 = 8

y2 = 8 + 10

= 18

The other end point is (-11, 18)

Notice that the x coordinate of both points is the same, therefore the line is a vertical line.

Answer: The slope is undefined.

Solution

For this case we have the following info:

45% regular phones

15% cellular phones

6% others

34% Cordless phones​

We know that the total regular of phones is 45% and the total of cellular phones are 15% then we can find the ratio like this:

45/15 = 3

The equation of a line in slope-intercept form can be written like this:

y = mx + b

Where m is the slope and b is the y-intercept of the line.

In this case, the slope of the line is 1/2, then we can rewrite the above equation like this:

y = (1/2)x + b

We are also told that this line passes through (2, -4), by replacing 2 for x and -4 for y into the above equation, we can solve for the value of b, like this:

-4 = 2(1/2) + b

-4 = 1 + b

-4 - 1 = 1 - 1 + b

-5 = b

b = -5

Then, we can rewrite the equation of the line, like this:

y = (1/2)x - 5

Then, the last option is the correct answer

Answer: 71.25

This is not of of the options, but is the right answer.

Step-by-step explanation:

7 x 5 + 42 - 23 / 4 =

Step 1: Make parentheses

(( 7 x 5 ) + 42) - ( 23 / 4) =

Step 2: Solve parentheses ( Multiplication and division first )

(35 + 42) - 5.75 =

Step 3: Solve parentheses ( Addition )

77 - 5.75 =

Step 4: Subtract

= 71.25

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