Which function, g or h, is the inverse function for function ƒ?

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

Answer:

The mean time between logons is of 0.3333 minutes.

Step-by-step explanation:

Poisson process with an average of 3 logons per minute.

This means that the time between logons follows an exponential distribution, which mean is given by:

[tex]E(X) = \frac{1}{\lambda}[/tex]

For this question, we have that [tex]\lambda = 3[/tex], and thus:

[tex]E(X) = \frac{1}{\lambda} = \frac{1}{3} = 0.3333[/tex]

The mean time between logons is of 0.3333 minutes.

Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

Answer:

Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!

Answer:

24.6° (nearest tenth) .

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]

The time taken is

[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]

Answer:

the answer would be -13n-23

Step-by-step explanation:

first you want to distribute the brackets

-7(2+n) = -14-7n

+(-9-6n)

-9-6n

-14-7n-9-6n

combine the n value with an n value and an integer that doesn't have an n value

-7n-6n-14-9

= -13n-23

Answer:

20%

Step-by-step explanation:

Given that

The car is depreciated at a rate of 7% per year

We need to find out the percentage when the car is depreciated after 6 years

So,

Since the car is depreciated by 7% so we can say it can be 0.93 times in a year

Now after 6 years, it would make

= 0.93^3

= 0.80

So, the percentage is

= 1 - 0.80

= 0.20

= 20%

Answer:

Step-by-step explanation:

f(0) = [tex]0^{3} +1=1[/tex]

f(-2)= [tex](-2)^{3} +1=-7[/tex]

f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]

9514 1404 393

Answer:

  5

Step-by-step explanation:

Use the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25

  d = 5

The distance between the two points is 5 units.

_____

Additional comment

The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.

In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.

Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.

Answer:

20

Step-by-step explanation:

In a parallelogram diagonals bisect each other.

[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

9514 1404 393

Answer:

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°

PA BRAINLIEST

Answer:

(5,20)

Step-by-step explanation:

x+y=25

If you substitute y=4x,

x+4x=25

Now add like terms

5x=25

Divide 5

x=5

Put it back into the equation

5+y=25

Subtract 5

y=20

Answer: (5,20)

Answer: A

Step-by-step explanation: Ape x

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

Answer:

a

Step-by-step explanation:

yes

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

[tex]\sqrt{61983.1}[/tex]

= 248.96

the standard error of the estimate = 248.96

thank you!

Answer:

4

Step-by-step explanation:

the sum of the first two numbers is 7*2=14 and the sum of the three numbers is 6*3=18 then you subtract the answers giving you 4

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]\text{A. }y=1.30x+1.50[/tex]

Step-by-step explanation:

The two ringtones will cost her a total of [tex]0.75\cdot 2=1.50[/tex] and is a fixed amount. The relationship between the cost and number of songs only is [tex]y=1.30x[/tex] and therefore the answer is [tex]\boxed{\text{A. }y=1.30x+1.50}[/tex]. You can also directly find the answer by finding the y-intercept (in this case [tex]1.50[/tex]), as no other answer choices include the term [tex]1.50[/tex], so A must be the correct answer.

Answer:

210

Step-by-step explanation:

7:5

First add the ratios

7+5=12

Put each ratio over the denominator 12 then multiply each by the total

7/12×1260= 735

5/12 × 1260 = 525

To find how many more winners than losers

735-525= 210

Answer:

52%

Step-by-step explanation:

There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.

13 / 25 = 0.52 or 52%

Answer:

Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

Answer:

(x, y) = (-2,-5)

Step-by-step explanation:

Multiply the first equation by 3,and multiply the second equation by 1.

3(3x+y=−11)

1(4x−3y=7)

Becomes:

9x+3y=−33

4x−3y=7

Add these equations to eliminate y:

13x=−26

Then solve13x=−26for x:

13x=−26

13x

13

=

−26

13

(Divide both sides by 13)

x=−2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=−11

Substitute−2forxin3x+y=−11:

(3)(−2)+y=−11

y−6=−11(Simplify both sides of the equation)

y−6+6=−11+6(Add 6 to both sides)

y=−5

Answer:

x=−2 and y=−5

Answer:

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Step-by-step explanation: