What is the inverse of the function f(x) =2x - 10?

Answer:

381623 ft

Step-by-step explanation:

Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.

[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]

The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.

Answer:

rational

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number

Kono Dio Da!!!

Answer:

I'm pretty sure it is rational

Step-by-step explanation:

:)

Answer:7/4= 1.75  and 3/8=0.375

Step-by-step explanation:

5/9= 0.555555.......

3/8=0.375

2/3=0.666666......

How do you terminate stuff?

Answer:

24 possibilities

Step-by-step explanation:

2*2*6=24

24 possibilities

The number of different sums possible is 24 possibilities.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We have been given that pick one card from each set and find the sum.

Therefore, we need to find the number of different sums that are possible;

2 x 2 x 6=24

24 possibilities

Hence, the number of different sums possible is 24 possibilities.

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Answer:

133,787 residents

Step-by-step explanation:

First thing we need to do here is calculate the number of 5 years between 2020 and 1990

That would be 2020-1990 = 30/5 = 6

Now to estimate the present population, we will be needing an exponential equation

P = I(1-r)^n

where P is the present population at 2020

I is the population at 1990 which is 182,000

r is the percentage decrease every 5 years which is 5% or simply 5/100 = 0.05

n is the number of 5 years between 1990 and 2020 which is 6

Plugging all these values we have;

P = 182000(1-0.05)^6

P = 182000(0.95)^6

P = 133,786.724

To the nearest whole number, P = 133,787 residents

Answer:

The Martin family pays $5.33 more per hour

The Sanchez family pays $60 more in total

Step-by-step explanation:

The Sanchez family want her to babysit for 15.5 hours for a total of $150.

To find out the hourly rate you do $150/15.5 which is $9.67 per hour.

The Martin family wants her to babysit for a total of 6 hours for $15 an hour.

To find out the total you do $15 x 6 which is $90.

Answer:

-18

Step-by-step explanation:

320

Step-by-step explanation:

Answer:

y = 3x -5

Step-by-step explanation:

6x - 2y = 10

-6x. -6x

Inverse Operations

-2y = -6x + 10

÷-2. ÷-2. ÷-2

y = 3x - 5

Answer:

6x – 2y = 10

2x + 3y = 51

Solving the first equation above for y gives:

     y =        (3)     x – 5

Which choice shows the result of substituting

3x – 5 into the second equation for y?

2(3x – 5) + 3x = 51

----------2x + 3(3x – 5) = 51      its B

2(3x – 5) + 3y = 51

Solving the equation 2x + 3(3x – 5) = 51

for x gives x =

---6.

The complete solution to the system is:

----(6,  13)

Step-by-step explanation:

Answer:

[tex]0.3 * 10^5[/tex]

Step-by-step explanation:

0.3

 ^ You need to move the three before the decimal place and leave 4 empty digits (0) between

0.3

3.0

30.0

300.0

3000.0

30000.0

A total of 5 moves.

Each move is equivalent to x, the preceding value, times 10. x * 10

Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as [tex]10^5[/tex], giving you an expression of:

[tex]0.3 * 10^5[/tex]

Answer:

The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Step-by-step explanation:

Let

Total number of frozen fruits = F

Let the amount of frozen fruits used for making smoothies = S

The remaining frozen fruits = R

Then

F - S = R

To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.

-S = R - F

S = F - R

That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Answer:

z = 81/10 = 8.100

Step-by-step explanation:

Answer:72.25

Step-by-step explanation:

Answer:

$72.25 is the price of the $85 item on sale for 15% off the regular price.

Step-by-step explanation:

First you need to find out how much 15% off the original price is:

85 x .15 (change percent to a decimal by moving the decimal point to the left two times, so if it was 25%, the decimal form is .25)

85 x .15= 12.75, so there is $12.75 off the original price of $85.

$85 - $12.75= $72.25!

Yw!

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

           = 7^(8)

Answer:

x^2 + (y + 4.3)^2 = 131

Step-by-step explanation:

The basic equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Here the center is (0, -4.3) and the radius is √131.  Substituting as indicated, we get:

(x - 0)^2 + (y + 4.3)^2 = 131, or

x^2 + (y + 4.3)^2 = 131

Answer:

An inequality, such as x>2 can be graphed on the number line.

Step-by-step explanation:

An inequality, such as x>2 can be graphed on the number line. An open circle as a stating point, indicates the number is NOT included in the solution. Where as a closed circle or "dot" indicates the number IS included in the solution.

Answer:

An inequality, such as x>2 can be graphed on the number line.

Step-by-step explanation:

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

Answer:

A=Acute

B. Acute

C.Obtuse

D.Right

Step-by-step explanation:

a,and b, and  are acute becuase there angles are less than 90 degrees.

d is obtuse beucase the angleismore than 90 degrees

D is right beucase the angle is 90 degrees and it hasthat square in the corner.

Answer:

$54 : 27 bags

Step-by-step explanation:

its to much to explain

i got my math wrong

Answer:

add it up to see if it's 180

Answer:

Well since you have the sides you would add up all of the sides to find the perimeter.

Step-by-step explanation:

Answer:

539

Step-by-step explanation:

Let the total population of  grizzly bears=x

In the first capture, 97 were tagged.

Therefore, ratio of the total population to the tagged=x:97

A month later, when 200 bears were captured, 36 were tagged.

Ratio of the sample to the tagged=200:36

Since a sample is representative of the population, the ratios are the same. We therefore have:

x:97=200:36

[tex]\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539[/tex]

There are about 539 grizzly bears in the population

Answer:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Step-by-step explanation:

For this case we have the following function:

[tex] P(t) = 10 (2)^{t/60}[/tex]

Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Answer:

1/10

Step-by-step explanation:

if you add all of it it becomes 10/10

Answer:

BMI = 26.1

Step-by-step explanation:

The body mass index is given by the below formula as :

[tex]BMI=\dfrac{705\times W}{H^2}[/tex]  

Here,

W is the weight of a person in pounds and H is height measured in inches.

If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.

So, plugging all values we get ,

[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]

So, the body mass index is 26.1.

Answer:

H is E

Step-by-step explanation:

In the formula of the energy of photons "h" signifies Planck's constant.

The Planck constant, often known as Planck's constant, is a crucial physical constant in quantum physics. The mass-energy equivalency establishes the relationship between mass and frequency, and the constant establishes the relationship between a photon's energy and frequency.

In the equation energy E = h X v. The "h" there signifies Planck's constant

Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.

Therefore,  in the formula of the energy of photons "h" signifies Planck's constant.

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NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.

Delete my answer due to my stupidity

Answer:

geometric sequence

Step-by-step explanation:

Answer:

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

Answer:

A) 12 ounces for $0.89

Explanation:

$0.89 ÷ 12 = $0.07

$1.69 ÷ 18 = $0.09

$2.09 ÷ 24 = 0.087

Now we know the different prices for each ounce, as you can see the 12 ounces is definitely the best buy.

I hope this helps!

Answer:

70,560 ways

Step-by-step explanation:

This problem is an arrangement problem, as the order of the two people chose in each department matters.

So, for each department, we have an arrangement:

First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56

Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30

Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42

The total number of ways is the product of each number of arranges, so:

Number of ways = 56 * 30 * 42 = 70,560