Marty and Ethan both wrote a function, but in different ways.

Answer:

Jenny drove for about 4.93 hours

Step-by-step explanation:

Jenny uses 7/9 gallons of gas per hour.

She used a total of 3 5/6 gallons.

If x is the number of hours she drove, then she used 7x/9 gallons.

X* 7/9 = 3 5/6

3 5/6 can be converted to an improper fraction.

((3*6)+5) / 6 = 23/6 gallons

=> x * 7/9 = 23/6

=> x = (23/6) / (7/9)

=> x = (23/6) * (9/7)

=> x = 69/14

=> x = 4.928571429 hours.

Answer:C

Step-by-step explanation:

Answer:

4.45 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 4.45 repeating, you could mean that 5 or 45 is repeating.

Step-by-step explanation:

i gpt it off Google cuz im dumb

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

A linear function is modeled by:

y = mx + b

In which:

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance.

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

To know more about Rounding check:

https://brainly.com/question/29878750

#SPJ9

ANSWER

9.5

EXPLANATION

To find the distance between home and work, we have to use the formula:

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

The answer is 9.5

Answer:

2x^2 - 16x + 30

Step-by-step explanation:

Here, we want to get the composite function;

p•q(x)

All we have to do here is to replace the x value in p(x) by the totality of q(x)

we have this as ;

= 2(x-3)^2 - 4(x-3)

= 2(x^2 -6x + 9) - 4(x-3)

= 2x^2 -12x + 18 -4x + 12

= 2x^2 - 16x + 30

Answer:

Its C

Step-by-step explanation:

7

Step-by-step explanation:

log₂ log₃ (3¹²⁸)

= log₂ 128

= log₂ 2⁷

= 7

Note :

logₐ aⁿ = n

In the scenario where a custom object is the detail object in a master-detail relationship with Account, the Organization-Wide Default (OWD) setting for the custom object would be controlled by the OWD setting of the master object, which is Account.

In Salesforce, the Organization-Wide Default (OWD) setting determines the default level of access for records of an object within an organization. When a custom object is set as the detail object in a master-detail relationship with Account, the OWD setting for the custom object will be controlled by the OWD setting of the master object, which is Account in this case.

The OWD setting for Account will dictate the level of access for the related records of the custom object. For example, if the OWD setting for Account is set to "Private," the related records of the custom object will also inherit the "Private" access level. This means that only users with appropriate sharing interest, such as those assigned to Account roles or sharing rules, will have access to the related records of the custom object.

Learn more about interest here:

https://brainly.com/question/30955042

#SPJ11

What is TRUE about the Organization-Wide Default (OWD) setting for the custom object in a master-detail relationship with Account?

The volume of the rectangular pyramid with a length of 8m, width of 5m and height of 12m is 160 m³.

A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where l is the base length, w is the base width and h is the height of the pyramid.

From the diagram:

Length l = 8 meters

Width w = 5 meters

Height h = 12 meters

Volume V = ?

Plug the given values into the above formula and solve for the volume:

V = (1/3) × l × w × h

V = (1/3) × 8 × 5 × 12

V = 160 m³

Therefore, the volume of the pyramid is 160 m³.

Learn more about volume of pyramids here: brainly.com/question/21308574

#SPJ1

To find the value of j - i, we need to determine the relationship between the surface areas (An) and volumes (Vn) of the unit ball in Rn for different positive integers n.

For the unit ball in Rn, the formula for surface area (An) and volume (Vn) are given by:

An = (2 * π^(n/2)) / Γ(n/2)

Vn = (π^(n/2)) / Γ((n/2) + 1)

where Γ denotes the gamma function.

To find the value of j - i, we need to identify the positive integers i and j such that Ai > Ak for all k not equal to i, and Vj > Vk for all k not equal to j.

First, let's analyze the relationship between An and Vn. By comparing the formulas, we can see that:

An / Vn = [(2 * π^(n/2)) / Γ(n/2)] / [(π^(n/2)) / Γ((n/2) + 1)]

      = 2 / [n * (n-1)]

From this equation, we can deduce that An / Vn > 1 if and only if 2 > n * (n-1).

To find the positive integer i, we need to identify the highest positive integer n for which 2 > n * (n-1) holds true. We can observe that this condition is satisfied for n = 2. Therefore, i = 2.

Now, let's find the positive integer j. We need to identify the lowest positive integer n for which 2 > n * (n-1) does not hold true. We can observe that this condition is no longer satisfied for n = 3. Therefore, j = 3.

Finally, we can calculate j - i as follows:

j - i = 3 - 2 = 1

Therefore, j - i equals 1.

To know more about integer visit-

brainly.com/question/32066988

#SPJ11

Answer: Choice A

The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.

=====================================================

Explanation:

Imagine drawing equally spaced grid lines to subdivide the rectangle. This splits the rectangle into smaller squares. In this case, each little square is 1 square unit. Having 24 of these squares leads to a total area of 24 square units.

We could have 8 rows and 3 columns of these squares to get 8*3 = 24 total. Or we could have 6 rows and 4 columns to get 6*4 = 24. Another configuration is 12 rows and 2 columns which leads to 12*2 = 24.

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Therefore , the solution of the given problem of probability comes out to be -y^(β-1)/[(β-1)Β(1, β)] .

The primary goal of the structures in the style known as parameters is the determination of the likelihood that a claim is accurate or that a specific event will occur. Any number between 0 and 1, at which 1 typically denotes certainty but also 0 typically denotes potential, can be used to symbolise chance. A probability diagram shows the chance that a specific event will occur.

Here,

We are aware that X's PDF is provided by:

If x is between 0 and 1 and 0 otherwise, f(x) Equals 1/B

where represents the size factor.

The formula for Yn's cumulative distribution function (CDF) is

=> F(y) = P(Yn ≤ y) = [P(Xi > y)]ⁿ = [1 - P(Xi ≤ y)]ⁿ

Using the CDF of the beta distribution, we have:

=> F(y) = [1 - Β(1, β; y)]ⁿ

We can approximate Yn by a normal distribution with mean and variance given by the following formulas using the continuity adjustment and central limit theorem:

=> E(Yn) = Β(2, β; 1)/Β(1, β) and Var(Yn) = E(Yn) - [Β(1, β; 1)/Β(1, β)]²

Therefore, we have:

=> (Yn - E(Yn))/sqrt(Var(Yn)) → N(0,1)

With the formulas for E(Yn) and Var(Yn) substituted, we obtain:

=> (Yn - Β(2, β; 1)/Β(1, β))/sqrt[Β(2, β; 1)/Β(1, β) - [Β(1, β; 1)/Β(1, β)]²] → N(0,1)

We need to work out the solution to determine b:

where is the CDF's usual standard value.

After applying the limit and taking the logarithm of both sides, we obtain:

=> F(y) = lim n log[n] = lim n n log

=> [1 - B(1, β; y)] = lim n -n (y, n)/(1, n)

L'Hopital's law gives us:

=> lim n -d/dy [n -(1, y)/n -(1, y)] = lim nn y(-1), ((1, )) ^2Β(2, β; y)

=> -y^(β-1)/[(β-1)Β(1, β)]

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

Given that,

The points area (5,5) and (-1,-3)

We have to find the distance between the two points.

We know that,

The distance between two points is the length of the line segment spanning those two points on the plane.

d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.

Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.

We get,

(5,5) and (-1,-3)

Distance= \(\sqrt{(-1-5)^{2}+(-3-5)^{2} }\)

Distance= √(-6)²+((-8)²

Distance= √36+64

Distance= √100

Distance =10

Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

To learn more about distance visit: https://brainly.com/question/4184305

#SPJ1

I think it’s G (addition) because you want to flip the equation p-275=800.

After that add 275 to both sides

P-275+275=800+275

P=1,075

So it’s addition and p=1,075.

Answer:

106

Step-by-step explanation:

The pattern is +8.  66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

128 gallons

Explanation: 20 X 4= 80

12 X 4= 48

80+48= 128

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer: x = -9

Step-by-step explanation:

When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.

The correct matching relating the correlation coefficients are given as follows:

A correlation coefficient is an index that measures the association between multiple variables.

The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.

Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.

More can be learned about correlation coefficients at brainly.com/question/16355498

#SPJ1

Answer:

(4,3)

Step-by-step explanation:

moving down 1 unit makes the point (-2,3)

moving 6 units to the right makes the point(4,3)

Answer:

10 cents

Step-by-step explanation:

because if you subtract those two numbers you will get 10

Answer:

y = 3x + 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = (- 2, 5 )

m = \(\frac{5-2}{-2-(-3)}\) = \(\frac{3}{-2+3}\) = \(\frac{3}{1}\) = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 5 )

5 = 3(- 2) + c = - 6 + c ( add 6 to both sides )

11 = c

y = 3x + 11 ← equation of line

The surface area of the rectangular prism is  432cm²

The surface area of the prism can be calculated as the sum of surface area of two rectangular prism.

The formula of a rectangular prism is given as;

S.A = 2[(lh + wh + lw)]

Substituting the values into the formula;

S.A = 2[(12*6) + (2*6) + (12*2)] + 2[(12*6) + (2*6) + (12*2)]

S.A = 216 + 216

S.A = 432cm²

Learn more on surface area of a rectangular prism here;

https://brainly.com/question/26759265

#SPJ1

Answer:

26.6°

Step-by-step explanation:

The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.

The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.

This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:

tan⁻¹(1/2) ≈ 0.4636476 (in radians)

Convert to decimal angle:

0.4636476 * (180/π) ≈ 26.6°

An understanding of functions and multiple relationships can help you make more informed decisions as a consumer by allowing you to analyze data, make predictions, and compare different options

We have,

An understanding of functions and multiple relationships can empower you to be an informed consumer in several ways:

- Predicting future outcomes:

Functions can be used to model relationships between variables. By analyzing historical data and using functions to make predictions, you can make more informed decisions as a consumer.

For example, you might use a function to predict how much money you will have in your savings account in the future, based on your current balance and interest rate.

- Comparing different options:

When you are comparing different options as a consumer, it can be helpful to use functions to compare the costs and benefits of each option.

For example, you might use a function to compare the total cost of leasing a car versus buying a car, taking into account factors such as the length of the lease, the interest rate on a loan, and the expected resale value of the car.

- Understanding complex relationships:

Some consumer decisions involve complex relationships between multiple variables.

For example, you might be deciding whether to purchase a home based on factors such as the price of the home, the interest rate on a mortgage, the property taxes, and the potential increase in the value of the home over time.

Thus,

An understanding of functions and multiple relationships can help you make more informed decisions as a consumer by allowing you to analyze data, make predictions, and compare different options.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1