find the domain/range, vertical/horizontal asymptotes, and x and y intercepts

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

If you rent the car for 1 day

Total cost = 15 + 18d

= 15 + 18(1)

= 15 + 18

= 33

Answer:

huh?

Step-by-step explanation:

1) The scatter plot at the right most likely represents the number of siblings a person has and the person’s GPA.

2) The most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up is; 17 gallons

1) Scatter plots are defined as the graphs that present the particular relationship between two variables in a data-set.

A scatter plot is also defined as a chart type that is usually used to observe and visually display the relationship between variables.

From the given scatter plot, we can say that the scatter plot at the right would most likely be used to represent the number of siblings a person has and the person’s GPA.

2) From the given scatter plot, we can see that the x-axis shows the number of days left since filling up while the y-axis represents the gallons of gas.

Now, we want to find out the most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up. We will trace 3 on the x-axis and the corresponding value on the y-axis would be approximately 17 gallons.

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Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Conics have the following general form:

For our given conic, we have the following:

To identify our conic, we need to calculate the discriminant

If the discriminant is less than zero, the conic section is an ellipse;

If the discriminant is equal to zero, the conic section is a parabola;

If the discriminant is equal to zero, the conic section is a hyperbola

Now, calculating the discriminant:

Since the discriminant is negative, this conic section is an ellipse.

to solve for m

distribute into parentheses

176 = -16 - 24m

get m on one side

176 + 16 = -24m

192 = -24m

divide by -24

-8 = m

m = -8

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

Convection! :)

Step-by-step explanation:

Answer:

50 in

Step-by-step explanation:

Split into 4 shapes. One on each side with 5 in x 2 in, one on the top with 12 in x 2 in, and one in the middle with 3 in x 2 in. We add all together:

2(5×2)+(12×2)+(3×2) = 50 in

Answer:

d

Step-by-step explanation:

Answer:

C 25%

Step-by-step explanation:

The reason why its C because 24 divided by 6 is 4 and then 6 times 4 is 24 so its C

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

From the problem, we have :

Distribute or multiply the number outside the parenthesis.

ANSWER :

The value of p is -1

Solution

We have the following sides given: 9, 14 and 12

For this case we can create the following notation:

a= 9, b= 12 and c= 14

And we can see this:

c^2 = 196

a^2 + b^2 = 81 + 225

Then:

The triangle is Acute because the longest side squared is 196 which is less than than the sum of the squares of the other two sides which is 225

Answer:

0.8

Step-by-step explanation:

\(d = s \times t\)

Answer:

y \(\geq\) 3x + 3

y < -x - 2

Step-by-step explanation:

For the first one, you can see that the slope is 3 and the y-intercept is 3, so the equation of the line would be y = 3x + 3. Then, since the shaded area is above the line it would be greater than and since the line isn't dashed it is greater than or equal to.

The completed equation is y \(\geq\) 3x + 3

For the second one, you can see that the slope is -1 and the y intercept is -2, so the equation of the line would be y = -x - 2. Then, since the shaded area is below the line and the line is dashed, the completed equation is y < -x -2

The value of y when a = 1 and b = 2 is 22.

The equation of can be solved as follows: We will substitute the value of a and b  in the equation to find the value of y.

Therefore,

y = 3ab + 2b³

Let's find y when a = 1 and b = 2

Hence,

y = 3(1)(2) + 2(2)³

y = 6 + 2(8)

y = 22

Therefore,

y = 22

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Answer:

a small jar of penuts buteer sells for 0.08 per ounce

A large jar of penut buttter sells for $1.20 per pound

the answer is :

hope it will help you

35

Step-by-step explanation:

since 35.43then43.t= 35

Answer:

b and d i think hope this helps

Step-by-step explanation:

The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 87/4 pounds

We have to given that;

Nicholas caught a fish that weighed 14 1/2 pounds.

And, His father caught a fish that weighed half as much as the fish Nicholas caught.

Hence, The weight of fish caught  by his father is,

⇒ 14 1/2 ÷ 2

⇒ 29/2 × 1/2

⇒ 29/4

Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 14 1/2 + 29/4

⇒ 29/2 + 29/4

⇒ 58/4 + 29/4

⇒ 87/4 pounds

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The p-value for this alternative hypothesis is approximately 0.0131.
Option b.) 0.0131 is correct.

To find the p-value for the alternative hypothesis, follow these steps:
1. Identify the t-value and degrees of freedom: t-value = 2.52,

df = 117.
2. Since this is a two-tailed test (we're testing for a difference in satisfaction between men and women, not just whether one group is more satisfied),

we need to find the p-value in the t-distribution table or use a t-distribution calculator.
Using a t-distribution calculator, we input the t-value (2.52) and degrees of freedom (117), and select a two-tailed test.

The calculator will give us the p-value.

Option b.) 0.0131 is correct.

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Answer:

214 cubic feet (rounded to the nearest cubic foot)

Step-by-step explanation:

Step 1  Determine the volume of 1 box

Volume of a box or rectangular prism = dimensions multiplied by each other

Here, the given dimensions are 11 in by 8 in by 12 in

So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches

Step 2 Determine volume of all 350 boxes

Volume of 1 box = 1056

So volume of all 350 boxes = 1056 x 350 = 369600 cubic in

Step 3 Convert cubic in to cubic ft

To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)

369600 / 1728 = 214 cubic feet (to the nearest cubic foot)

214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in

Answer:

x=2

Step-by-step explanation:

Simple ratio:

44/88=x/4

Simplify:

1/2=x/4

Cross multiply:

4=2x

x=2

Answer:

x = 2

Step-by-step explanation:

If y varies directly with x then:

\(\boxed{y \propto x \implies y=kx}\)

where k is the constant of variation.

Given y = 88 when x = 44:

\(\implies 88=44k\)

Solve for k by dividing both sides by 44:

\(\implies \dfrac{88}{44}=\dfrac{44k}{44}\)

\(\implies 2=k\)

\(\implies k=2\)

Therefore, the equation is:

\(\boxed{y=2x}\)

To find the value of x when y = 4, substitute y = 4 into the equation and solve for x:

\(\implies 4=2x\)

\(\implies \dfrac{4}{2}=\dfrac{2x}{2}\)

\(\implies 2=x\)

Therefore, the value of x when y = 4 is x = 2.

Answer:

6

3

−

9

2

−

7

Step-by-step explanation:

Combine like terms

−

7

2

−

2

2

+

3

−

3

−

2

+

5

3

−

2

{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{3}-3y-2y+5y^{3}-2y

−7y2−2y2+y3−3y−2y+5y3−2y

−

9

2

+

3

−

3

−

2

+

5

3

−

2

Combine like terms

−

9

2

+

3

−

3

−

2

+

5

3

−

2

-9y^{2}+y^{3}{\color{#c92786}{-3y}}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}

−9y2+y3−3y−2y+5y3−2y

−

9

2

+

3

−

7

+

5

3

Combine like terms

−

9

2

+

3

−

7

+

5

3

-9y^{2}+{\color{#c92786}{y^{3}}}-7y+{\color{#c92786}{5y^{3}}}

−9y2+y3−7y+5y3

−

9

2

+

6

3

−

7

Rearrange terms

−

9

2

+

6

3

−

7

{\color{#c92786}{-9y^{2}+6y^{3}-7y}}

−9y2+6y3−7y

6

3

−

9

2

−

7

Solution

6

3

−

9

2

−

7

Answer:

6n+30

Step-by-step explanation:

Step 1:

Multiply 6 and n

Step 2:

Multiply 6 and 5

Step 3:

Put together!

have a great day and thx for your inquiry :)

Answer:

the answer is A

Step-by-step explanation:

distributive property states

a(b+c)=ab+ac

therefore

6(n+5)=6n+30