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1.
The equation m=40g gives the distance in miles, m, that a car can travel using g gallons
of gas.
a. If the car has gone 140 miles, how much gas was used?
b. Write an equation that represents the inverse function: the gallons of gas as a
function of distance in miles.
Function C is defined by the equation cov) = 50 + 4y It mives the month con

Answer:

\(\huge \boxed{{x\geq -3, \ x \neq 2}}\)

Step-by-step explanation:

The function is given,

\(\displaystyle f(x)=\frac{\sqrt{x+3 }}{(x+8)(x-2)}\)

The domain of a function are all possible values of x.

There are restrictions for the value of x.

The denominator of the function cannot equal 0, if 0 is the divisor then the fraction would be undefined.

\(x+8\neq 0\)

Subtract 8 from both parts.

\(x\neq -8\)

\(x-2\neq 0\)

Add 2 on both parts.

\(x\neq 2\)

The square root of x + 3 cannot be a negative number, because the square root of a negative number is undefined. x + 3 has to equal to 0 or be greater than 0.

\(x+3\geq 0\)

Subtract 3 from both parts.

\(x\geq -3\)

The domain of the function is \(x\geq -3\), \(x\neq 2\).

The domain of the given function will be x ≥ -3 and x ≠ 2.

The entire range of independent input variables that can exist is referred to as a function's domain or,

The set of all x-values that can be used to make the function "work" and produce actual y-values is referred to as the domain.

As per the data given in the question,

The given expression of function is,

f(x) = \(\sqrt{\frac{x+3}{(x-8)(x-2)} }\)

The fraction would indeed be undefined if the base of the function were equal to zero, which is not allowed.

x + 8 ≠ 0

x ≠ -8

And, x - 2 ≠ 0

x ≠ 2

Since the square root of a negative number is undefined, x+3 cannot have a negative square root. x+3 must be bigger than zero or identical to zero.

So,

x + 3 ≥ 0

x ≥ -3

So, the domain of the function will be x ≥ -3 and x ≠ 2.

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Answer:

Length = 9 units

Area = 135 square units

Area = Length x Breadth

135 = 9 x Breadth

Breadth = 15units

\(By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\\)

               \(= 9^2 + 15^2 \\= 81 + 225 \\=306\)

\(Diagonal = \sqrt{306} = 17.49\)

Diagonal = 17.5 units

Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.

Let's assume the width of the rectangle is 'w'.

We know that the area of a rectangle is given by the formula: length × width = area.

So, 9w = 135

Dividing both sides of the equation by 9, we get: w = 15.

Now, we have the length (9 units) and the width (15 units) of the rectangle.

Using the Pythagorean theorem, we can find the length of the diagonal (d):

d² = 9² + 15²

d² = 81 + 225

d² = 306

Taking the square root of both sides, we get:

d ≈ √306 ≈ 17.5

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Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Step-by-step explanation:

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Answer:

Step-by-step explanation:

To solve this problem, you have to solve with order of operations.

Order of operations stands for:

PEMDAS

Parentheses

Exponents

Multiply

Divide

Add

Subtract

Do multiply.

79-4*6+12/3

4*6=24

Rewrite the problem down.

79-24+12/3

Divide.

12/3=4

79-24+4

Add and subtract.

79-24=55

55+4

55+4=59

\(\sf\boxed{59}\)

As a result, the final answer is 59.

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

I believe that the answer is B.

Step-by-step explanation:

You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.

So that is why my answer is B.

Let's assume the probability of picking an orange marble is p, then the best prediction for the number of times you will pick an orange marble can be estimated as:

Best prediction = p × 12

If you select a marble without looking and put it back, the probability of picking an orange marble remains the same for each draw. Without any additional information about the marbles and their colors, we cannot make a specific prediction about the number of times you will pick an orange marble.

However, we can make an estimate based on probability. If we assume that the marbles are evenly distributed and there are n marbles in total, with k of them being orange, then the probability of picking an orange marble on each draw is k/n.

Since you are drawing 12 times, we can estimate the number of times you may pick an orange marble based on this probability. The best prediction possible would be the expected value, which is calculated by multiplying the probability of success (picking an orange marble) by the total number of trials (12).

Expected value = Probability of success × Total number of trials

Let's assume the probability of picking an orange marble is p, then the best prediction for the number of times you will pick an orange marble can be estimated as:

Best prediction = p × 12

However, without knowing the actual number of orange marbles and the total number of marbles, we cannot provide an accurate estimate for the best prediction.

To make a more precise prediction, it is necessary to have information about the distribution of marble colors or conduct further experiments to

determine the actual probabilities of selecting an orange marble.

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Answer:

P ≈ 317.08 m

Step-by-step explanation:

Circumference: C = πd

Step 1: Find circumference of both domes

C = π(50)

Since it's a dome, we divide by 2

50π/2 = 25π

Since we have 2 domes, we simply multiply by 2 again

25π(2) = 50π

Step 2: Find perimeter of track

50π + 80(2)

P = 50π + 160

P = 317.08 m

Answer:

its D

Step-by-step explanation:

calculator

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Answ

Step-by-step explanation:wirugf4

Answer:

6 regular coffees. Thank it if its helpful, thank you!

Step-by-step explanation:

75% of 8 is 6

Reasoning:

75/100*8/1=600/100

600/100=6!

Answer:

Regular coffee served by cafe = 75%* 8

                                                   = 75/100*8 =  6 coffees

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Convert the 20% to a decimal multiply 750 by .20 to get 150 than add 750+150 to get 900

Answer:

Tuesday

Step-by-step explanation:

Answer:

3, 3.024, 3.04, 10

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

eyehehbr bdbbdbd 112

Step-by-step explanation:

add

dixg

hgfg kggg by

jhggg

If each person drove at a constant rate, the person who drove the fastest (in miles per hour) is: C. Nathan.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

For Hank, we have:

Speed = 176/3.2 = 55 miles per hour.

For Laura, we have:

Speed = 150/2.5 = 60 miles per hour.

For Nathan, we have:

Speed = 112.5/2.25 = 50 miles per hour (Fastest).

For Raquel, we have:

Speed = 286/4.4 = 65 miles per hour.

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Answer:

Step-by-step explanation:

An English minute is (1/60)(π/180) radian = π/10800 radian.

A French second is (1/100)(1/100)(π/200) radian = π/2000000 radian.

So, the ratio of angle sizes in common units will be ...

  27(π/10800) : 2500(π/2000000) = (2/800) : (1/800) = 2 : 1

Since the total of these ratio units is 2+1 = 3, we need to divide the right angle into 3 parts. The English part will be 2 of those; the French part will be 1 of them. A 1/3 part of a right angle is π/6 radians, so the right angle division will be ...

  English : French = π/3 radians : π/6 radians

  = 3600 English minutes : 333,333 1/3 French seconds

  = 27 : 2500

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Height: 5ft.

Legnth: 6ft.

Width: 1.2 ft.

1% of 500 is 5ft

1% of 600 is 6ft

1% of 120 is 1.2ft

Answer:

87

Step-by-step explanation:

Answer: 10:00 AM

This is the answer, and it’s correct. I did this problem and it’s 10:00 AM

Answer:

fh

Step-by-step explanation:

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths.

  B'C' = 1 unit

  BC = 3 units

The scale factor is B'C'/BC = 1/3.

_____

Additional comment

The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)

Answer:

0.034

Step-by-step explanation:

cuz i missed it