The cost of g gallons of gasoline can be modeled by C(g) = 2.25g
How much would it cost to buy 12 gallons of gasoline?

Answers

Answer 1

Answer:

C(g) = 27

Step-by-step explanation:

2.25(12) = 27

You just plug in your g value and solve.

Answer 2

It would cost $27 to buy 12 gallons of gasoline. Substitute the value of g (number of gallons) into the cost function C(g).

In the cost function C(g) = 2.25g, the variable g represents the number of gallons of gasoline we want to buy. We want to find out the cost of buying 12 gallons, so we will replace g with 12 in the equation:

C(12) = 2.25 * 12

Perform the multiplication.

Now, we simply calculate the value of 2.25 * 12:

C(12) = 27

So, the result is 27. It means that it would cost $27 to buy 12 gallons of gasoline using the given cost function C(g) = 2.25g. The cost is calculated by multiplying the number of gallons (12) by the cost per gallon (2.25).

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Related Questions

How many solutions are there for this equation? Why?​

Answers

Answer:

d

Step-by-step explanation:

The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.53. Find the percentage increase. Round your answer to the nearest tenth of a percent

Answers

Answer:

0.13

Step-by-step explanation:

How many groups of 3/4 are in 4 1/2

Answers

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

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A jar contains 2000 marbles. If 61.5% of them are red, 27.5% are white, and 10% of them are blue, how many marbles are neither red, white, or blue?

Answers

Answer:

1 percent, or 20 marbles

Step-by-step explanation:

add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.

Answer:

20 marbles

Step-by-step explanation:

61.5 + 27.5 + 10 = 99

this means 1% are neither red, white or blue

1% of 2000 is 20

Abigail has a bag that contains pineapple chews, lemon chews, and watermelon
chews. She performs an experiment. Abigail randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Abigail performs the experiment
35 times. The results are shown below:
A pineapple chew was selected 20 times.
A lemon chew was selected 7 times.
A watermelon chew was selected 8 times.
Based on these results, express the probability that the next chew Abigail removes
from the bag will be a flavor other than watermelon as a decimal to the nearest
hundredth.

Answers

Answer:

w=8

w+p+l = 35

=8\35 =0.228

Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.

x =

Answers

Answer:

x=-1.5

Step-by-step explanation:

To solve for x, you need to rearrange so the x is on one side of the "=" by itself.

So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.

The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.

The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.

I have attached a photograph of this method written out using the funnel technique.

El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?

Answers

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.

En este problema:

La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].

Diseño de 2 componentes:

2 componentes implica que [tex]n = 2[/tex].

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

4 componentes implica que [tex]n = 4[/tex].

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

Y=arccos(1/x)

Please help me do them all! I don’t know derivatives :(

Answers

Answer:

Step-by-step explanation:

EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!

Answers

Answer:

The choice b.

[tex] \sin \: A = \frac{4}{5} [/tex]

Step-by-step explanation:

sinA = opposite/hypotenuse

[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]

Will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

60

Step-by-step explanation:

24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.

60

Because 24+24+12=60


Jason, David, and Marcus each saved their allowance for four weeks. The ratio of total money
saved to number of weeks for each friend are shown in the table and graph. Which friend has
the greatest ratio of total money saved to number of weeks? Justify your response.

Answers

Answer:

David saved $15 per week

Jason saved $10 per week

Marcus saved $5 per week

(i divided y by x)

so David saved the most money throughout each week.



Write an equation for the description

Tanmayi wants to raise $165 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed.

Answers

Answer:

She needs $55 more dollars

Step-by-step explanation:

Answer:

[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]

YALL PLSSSSSSSS HELP IM SHAKING I NEED HELP PLSS

Answers

Answer:

someone is adding dont worrie

Step-by-step explanation:

HELPPPPPPP FASSSSSSSSST THIS IS DUE

Answers

The answer is 400 miles
You multiply 6 2/3 x60

will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

3/2(x+3/4)-x-1

Step-by-step explanation:

Remove the parenthesis

Explain how you can estimate [tex]\sqrt{40[/tex]
i will give brianleist ifd you anserw

Answers

Answer:

Step-by-step explanation:

You can find the perfect squares that are closest to this by listing the perfect squares and seeing which two this square would be between, which is the square root of 36 and the square root of 49:

[tex]\sqrt{36} < \sqrt{40} < \sqrt{49}[/tex]

please helpppppppppppppppp

Answers

Answer:

a

Step-by-step explanation:

the balloon was at 595 feet

595

then it dropped 495 feet

525-495= 30

the equals 30 means that it is currently 30 feet above the ground

and if it dropped another 15 feet it would not reach the ground, which is zero, the balloon would still be 15 feet above the ground

30-15= 15

so the balloon never reached zero

Answer:

A

Step-by-step explanation:

I took the quiz and got a 100, please mark brainlyiest


Which of the functions below could have created this graph?

Answers

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Round the following numbers to 1 significant figure: a) 276 040 b) £238.02 c) 17521 km​

Answers

Answer:

a) 300000 b)£200 c) 20000km

Step-by-step explanation:

A snail is at the bottom of a 10 foot well. Every
day, he crawls up 3 feet, but at night, he slips
down 2 feet. How many days will it take for him to get
out of the well?

Answers

Answer:

10 days.

Step-by-step explanation:

3-2 = 1 foot of progress per day.

Answer:

8 days

Step-by-step explanation:

We get 8 days because the snail gets one foot higher every day. By the morning of the 8th day, the snail is 7 feet up and just needs to climb its daily 3 feet and it will be out of the well. You don't need 10 days because the snail only falls at night.

slope of the line that passes though (-4.5,7/5) and (3,3.5)

Answers

Answer:

5

Step-by-step explanation:

y2-y1

--------

x2-x1

8/1.5=5

HELP FASTT THIS IS DUE TODAY

Answers

Answer:

45in & 87in^2

Step-by-step explanation:

W = 7*2.5in=17.5in

L = 2*2.5in=5in

Perimeter = 2(L+W)

2(5in+17.5in)

45in

Area = L*W

17.5in*5in=87in^2

Remember, Perimeter is linear while area is squared.

Nolan’s car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?

Answers

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

If y=cosh(4tanh¯¹x) then dy/dx=​

Answers

If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:

[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]

Then differentiating yields

[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]

so that by the chain rule, if

[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]

then

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]

Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].

Recall that

[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]

and so the derivative of tanh(x) is

[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

where the last equality follows from the hyperbolic Pythagorean identity,

[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

Differentiating both sides of (•) implicitly with respect to x gives

[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]

So, the derivative we want is the somewhat messy expression

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]

and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.

In case you are interested, we have

[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]

and you can instead work on differentiating that; you would end up with

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]

no links Use the hundreds grid to answer the question.

A 10 by 10 grid is shown with the first 9 columns shaded. The top row is also shaded in a different color. The first 9 squares of the top row overlap with the 9 shaded columns.

Give the decimal multiplication equation shown by the model. Explain how each part of the equation is shown on the model. Include the final product.

Answers

Answer:

9%

Step-by-step explanation:

There are 100 boxes and only 9 are shaded so a fraction of that would be 9/100 so if you convert that to a percentage it would be 9% of the boxes

so therefor 9% is you answer

hope this helped

BRANLIEST?

The model is considered to be expressing the equation "9 x 0.1 = 0.9".

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

A 10 by 10 grid is shown with the first 9 columns shaded. The top row is also shaded in a different color. The first 9 squares of the top row overlap with the 9 shaded columns.

It looks like the model is showing the equation "9 x 0.1 = 0.9".

The "9" is shown by the 9 shaded columns on the grid. The "0.1" is shown by the top row of the grid, which is shaded differently from the rest of the grid. The "0.9" is shown by the 9 shaded squares in the top row, which overlap with the 9 shaded columns.

The final product of the equation is 0.9.

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which equation can be used to represent this problem? company spent $2000 developing a waterproof fabric. The company makes $3 on the sale of each yard of fabric after subtracting anufacturing costs. How many yards of fabric, x, will they need to sell to have a profit of $12,000?

A 2000 - 3x = 12000
B 12000 - 3x =2000
C 3x - 2000 = 12000
D 3x - 12000 = 2000​

Answers

The answer for this is A.

Brihana kayllie works in a chocolate factory. She gets 8.75 per hour. how much money does she earn in 8 hours? 40 hours? Show your work in the box provided.

Answers

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

Use function notation to write the equation of the line

please asap

Answers

Answer:

The correct answer is the first option.

Step-by-step explanation:

The correct function notation is f ( x ) = x because the slope is 1, and the y-intercept is 0.  The y-intercept is the point on the graph where it crosses the y-axis.  

Therefore, the correct answer is the first option. Brainly isn't allowing me to post the equation for some reason.

1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:

Answers

Answer:

 

answer

First we need to write system of 2 equations with 2 variables:

x*6 + y*12.5 = 34

x+y = 3.5

for substitution we express one of variables in one of equations and put it in other equation.

x = 3.5-y

(3.5 - y)*6 + 12.5*y = 34

21 - 6y + 12.5y = 34

6.5y = 13

y = 2

x = 3.5 - y = 3.5 - 2 = 1.5

she ran for 1.5 hours and biked for 2 hours.

check:

1.5*6 + 2*12.5 = 9 + 25 = 34 = 34

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