Mary drew a diagram of the driveway on her side of her house so what is the total area of the driveway ?.

Ok, so

Here we have the following rectangular solid:

Remember that the volume can be found using the following equation:

Where L is the length, W is the width, and H is the height.

If we replace our values:

Therefore, the volume is equal to 18200 ft3.

Hello!

First, let's write some important information contained in the exercise:

• Cost per hour:, $x

• Fee:, $2

So, we can write the expression as:

f(x) = x +2

Now, let's solve your exercise:

Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each?

So, first, we will multiply the cost per hour by 3. Then, add the fee of $2.

To finish, we will multiply the equation by 4 (number of people).

Look:

4 * (3x +2) or also 12x +8

The domain of a function are all the numbers that can go into the function. In this case we have the given function:

When you have a function with a variable in the denominator, you have to set the bottom equal to zero and then exclude the x-values you find when you solve the equation:

Thus, the domain is all real numbers except -7 (option c)

Let the number of blocks used for building a house be x, the number for a road be y, and the total number of blocks be z.

If he builds 6 houses, he will be short 120 tiles. This means that:

If he builds 2 houses and 5 roads, he will have 10 tiles left. This means that:

If each road takes 30 tiles to build, this means that:

Therefore, we have from equation (2):

Putting the value of z from equation (1) into (3), we have:

Hence, the value of z can be calculated to be:

Therefore, he has 300 Lego blocks.

Using tangent function:

Given:

C = total cost

S = Amount of Sugar

To solve this problem we can think of a standard form of equation for straight line:

m = slope,

b = y-intercept.

hence:

m = $250 per ton

b = $6250 initial rent cost

EQUATION

C = 250S + 6250

GRAPH:

Answer:

Explanation:

Given the solution to the given equation:

Whenever an equation is solved and we have the same constant on both sides of the equality, then, the equation has infinitely many solutions.

Therefore, Because 0=0 is always true, the equation has infinitely manu solutions.

The t distribution is calculated by degrees of freedom and rejection region.

a) If alpha is 0.01 and n=20 so df=19, t critical for two tailed test is

b) If alpha is 0.01 and n=60 so df=59, t critical for one tail test is

c)If alpha is 0.05 and n=30 so df=29, t critical for two tail test is

d)If alpha is 0.05 and n=60 so df=59, t critical for one tail test is

Option D is correct.

SOLUTION

The two legs are the opposite and adjacent

Question:

Solution:

Remember that the vertical angles mean they share the same vertex (corner point). Now, the vertical angles are equal. According to this, we get the following equation:

that is:

now, putting together similar terms, we obtain:

this is equivalent to:

solving for x, we get:

so that, we can conclude that the correct answer is:

Since 3/4 of sugar is needed to make six muffins, then we have to divide 3/4 into 6 equal parts. That means that the expression to find how much sugar is used for each muffin is a division:

Answer:

Explanation:

When two or more points are collinear, it means they lie on the same line

Thus, if they are on the same line, the average rate of change is expected to be the same

Between two points, we have the average rate of change calculated as:

Let us have the points labelled A,B and C

Between A and B, we have the average rate of change as:

Between A and C, we have the average rate of change as:

Between B and C, we have the average rate of change as:

We can see that the rate of change is not the same and it is safe to say that the points are not collinear

The probability is going to be calculated multiplying the probability of two events. The first event is selecting a boy's name which is 16(number of boys) /26( Total of students). The second event is selecting a girl's name after the first event happened, it must be: 10(number of girls)/ 25(Total students after selecting a boy's name)

Given the formula;

Then, we have;

Thus, the confidence interval is;

First box: 18.21

Second box: 2.576

Third box: 5.92

Fourth box: 50

Fifth box: 16.05

Sixth box: 20.37

Answer:

Step-by-step explanation:

Since the expected measure of the product is 26.4 cm, and it can be 0.03cm longer or shorter, we need to add and substract 0.03cm to the expected measure to know what is the shortest and lengest measures that can pass inspection.

Shortest:

Longest:

Tha shortest measure is 26.37cm and the longest is 26.43cm

2x - 8 < 12

= 2x < 12 + 8 (transpose 8. change its sign)

= 2x < 20

= x < 10 (divide both sidea of the inequalit by 2. )

Answer:

x < 10

hours worked in a week Income

1

2

8

35

y = mx + b

for b

the equation is

y = 1 x + 80 or y = x + 80

Given equaton is:

By solving it for z:

ANSWER

EXPLANATION

To answer this question, we have to first find the measure of the third angle,

The sum of angles in a triangle is 180 degrees, which means that:

This means that:

That is the value of c to the nearest tenth.

Answer:

x = 4

Step-by-step explanation:

P is the midpoint of line segment ST

This means that the segment ST can be divided into two equal segments, SP and PT.

We are given:

SP = PT = x + 4

ST = 4x

Solving the equation:

ST = SP + PT

4x = x + 4 + x + 4

4x = 2x + 8

4x - 2x = 8

2x = 8

x = 8/2

x = 4

The given point is (-4,-12).

The diagram of the rectanmmgular coordinate system is hown below.

In the given point , the value of x and y is negative. Therefore, the point is in the third quadrant.

base = 100 ft

height = 40 ft

Area = base x height

Area ? 100 x 40

Area = 4000 ft^2

Given the expression;

300, 100, 100/3, 100/9...

This sequence is geometric sequence because they have a common ratio not common difference.

Given the set of Geometric sequence, T1, T2, T3, T4... the common ratio is calculated as thus;

r = T2/T1 = T3/T2 = T4/T3

From the given sequence;

300, 100, 100/3, 100/9...

r = 100/300 = (100/3)/100 = (100/9)/(100/3)

r = 1/3

Hence the common ratio is 1/3 and the sequence is a Geometric sequence

First let's make a graph to understand the situation.

Now let's calculate the value for x, using the trigonometric relation of the tangent.

In a similar way we will calculate the value of y

The total height of the building would be the sum of the x and y values.

To the nearest tenth of a foot, the building is 316.1 feet tall.

In calculus, at the maximum point, gradient is zero.

Recall that at the maximum point, this dP/dn is zero and in that case, we have:

Therefore the company will produce 85 thousand units to maximize profits

and in producing these, will make its maximum profit which is 128.5 thousand dollars

Question:

Solution:

Step 1: Convert mixed number to improper fraction:

Step 2: Conver the given yards to inches. Remember that 1 yard is equivalent to 36 inches, then 13/3 yards is equivalent to:

So that, we can conclude that the correct answer is:

156 inches.

A reflection over the y-axis

An horizontal translation of 5 units to the right

A vertical stretch of 2

A vertical translation of 3 units up

Transformations on the parent function:

A reflection over the y-axis

An horizontal translation of 5 units to the right

A vertical stretch of 2

A vertical translation of 3 units up