Which represents the inverse of the function f(x)=4x?

Answer:

≈ 125.3

Step-by-step explanation:

If we're using the Pythagorean Theorem to solve this, then the formula is:

[tex]a^{2}+ b^{2} =c^{2}[/tex]

So basically, by using this formula, you're finding the length that the soccer players will run diagonally. Plug in the numbers:

[tex]110^2 + 60^2 = c^2[/tex]

12100 + 3600 = [tex]c^2[/tex]

15700 = [tex]c^2[/tex]

Take the square root:

15700 = [tex]c^2[/tex]

[tex]\sqrt{15700} = \sqrt{c^2}[/tex]

125.3 ≈ c

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

Hope this Helps!!!

Answer:c

Step-by-step explanation:

Answer:

to get volume you have to do this base x height

Step-by-step explanation:

12 x 8 is 96 that the base

next base times height  which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2

Answer:

volume = 12* 19.2*8/2 = 921.6 m3

Step-by-step explanation:

20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2

volume = 12* 19.2*8/2 = 921.6

Answer:

the numbers in Set A would round to 0

Step-by-step explanation:

Answer:

x = 5 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

200 = 1/3 * 8*15 * x

200 = 40x

x = 5 in.

Answer: 1. $3.85

2. $1.55

3. 7/12

Step-by-step explanation:

1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.

2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.

3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12.  1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

Answer:

the answer is B

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

It is B (-9) because when you have a negative number and answer in an equation like this, all you have to do is add another negative number to get that answer. -9 + -4 = -13

Answer:

AE=90°

AED=140°

DBA=220°

Answer:

-5

Step-by-step explanation:

-5 is not a whole number nor a natural number. But it is an integer.

Answer:

-4 and -5

Step-by-step explanation:

Negative numbers are integers but not whole numbers. Whole numbers are integers and whole numbers.

The misleading one or the one that miss out information.

"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2

Answer:

A bar graph.

Step-by-step explanation:

Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.

Answer:

x = 9, x = 3

Step-by-step explanation:

Given

y = [tex]\frac{x-3}{x^2-12x+27}[/tex]

The denominator of the rational function cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

x² - 12x + 27 = 0

(x - 9)(x - 3) = 0

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x - 3 = 0 ⇒ x = 3

Thus x = 9, x = 3 are excluded values and the points of discontinuity

Answer:

b

Step-by-step explanation:

Answer:

5 sqrt(3)

Step-by-step explanation:

Since this is a right triangle

sin theta = opposite side/ hypotenuse

sin 60 = x /10

10 sin 60 = x

10 sqrt(3) /2 =x

5 sqrt(3) =x

Answer:

5√3

Step-by-step explanation:

The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:

sin 60 degrees = opp side / hypotenuse  =  x/10.

Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2  =  5√3  (equal to the third answer choice).

Answer:

3/4 ft.

Step-by-step explanation:

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

The width of the border is 3/4.

The perimeter of rectangle is, P= 2(l + b).

Given:

length= 8 feet, width = 4 feet

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Hence, the width of the border is 3/4.

Learn more about this concept here:

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Answer:

160

Step-by-step explanation:

x represents the years since 1990, so at 2030, x =  2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:

y = -0.107(40)^2 + 9.008(40) - 28.851 = 160

which is the predicted number of cellular subscriptions per 100 people in Australia in 2030

Answer:

The correct option is (B) 250.

Step-by-step explanation:

A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800.

And 120 golf clubs per day for a total daily cost of $8,400.

Let X = number of golf clubs manufactured per day.

Let Y = total cost of manufacturing golf clubs per day

It is provided that:

(x₁, y₁) = (100, 7800)

(x₂, y₂) = (120, 8400)

Form the least square regression line using two-point form as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]

[tex](y-7800)=\frac{8400-7800}{120-100}\ (x-100)\\\\(y-7800)=30\times (x-100)\\\\y-7800=30x-3000\\\\y=30x+4800[/tex]

The least square regression line to estimate the total daily cost of x golf clubs  manufactured daily is:

y = 30 x + 4800

Compute the  number of golf clubs manufactured if the total daily cost is $12,300 as follows:

[tex]y = 30 x + 4800\\12300=30x+4800\\30x=7500\\x=250[/tex]

Thus, the correct option is (B).

The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²

The surface area of the rectangular pyramid is the sum of the whole areas.

The total surface area is the sum of the whole area.

A rectangular pyramid has 4 triangular faces and a rectangular base.

Therefore,

total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²

total surface area = 108.6 cm²

Therefore, the total surface area of the rectangular prism is 108. 6cm²

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Answer:

58.5

Step-by-step explanation:

Answer:

58.5

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i promise this is the answer i go to k12 and got the answer correct

Answer:

yes, use the Pythagorean theorem

Step-by-step explanation:

it would be 6^2+15^2=c^2

Answer:

Step-by-step explanation:

sorry can’t answer

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021

Answer:

4.) Silvia had the greater variation in her race results for the season because she has a higher standard deviation.

Step-by-step explanation:

hope this helps!!! :)

Answer:

D?

Step-by-step explanation:

The true statement is ;B. The solution is nonviable because the time cannot be negative.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We have been given that the graphed system represents the rate at which two trucks are being filled.

where x represents the time in minutes and y represents the percentage filled.

When both the line are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.

The true statement is ;B. The solution is nonviable because the time cannot be negative.

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Answer:

1. Coefficient

2. Constant

3. (0,12)(1,27)(2,42)(3,57)(4,72)

Step-by-step explanation: