A plane is descending into an airport. When its altitude is 3 1/2 miles, it is 250 miles from the airport. When its altitude is 1 mile, it is 75 miles from the airport. At 2 1/2 miles, it is 175 miles from the airport. Problem 6 a. If the pilot follows the same pattern, what will the plane's altitude be at 25 miles from the airport? *

Answer:

median = 58

mean= 48.4

Step-by-step explanation:

to find the mean you add all of the numbers and divide it by 5 in this case

Answer:

[tex]r = 16[/tex], [tex]s = -48[/tex]

Step-by-step explanation:

The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:

[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]

By comparing each expression, the results are presented below:

[tex]r = 16[/tex], [tex]s = -48[/tex]

Answer:

not quadratic because there is not a quadrat in it.

Step-by-step explanation:

The graph of a quadratic funtion is a parabola.

The general form of quadratic function is this:

f(x) = ax² + bx + c

Where a, b, and c are numbers.

Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.

In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.

Answer:

$58.415

Step-by-step explanation:

Initial value: 50 dollars

Independent variable: 5.3%

Dependent variable: Y

This equation can be written in slope intercept form:

[tex]y=mx+b[/tex]

[tex]y= 1.53x+50[/tex]

x= the number of years

[tex]y= 1.53(5.5)+50[/tex]

[tex]y=8.415+ 50[/tex]

[tex]y= 58.415[/tex]

Answer:

yes

Step-by-step explanation:

there is enough information

Answer:

False

Step-by-step explanation:

3/4 = 9/16

Multiply the left side by 4/4 to get a common denominator

3/4*4/4 = 12/16

This is not equal to 9/16 so this is not a proportional relationship

Answer:

False

Step-by-step explanation:

3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.

Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3

Answer:

See attachement

Step-by-step explanation:

The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.

Answer: 5/11

Step-by-step explanation:

There are 11 options, and 5 of them give the outcome you want.

5/11

Answer:

22/24

Step-by-step explanation:

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier

Answer:

[tex]x\leq 15.5[/tex]

Step-by-step explanation:

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

-------------

   8

4/8=0.5 and 16/8=2

y=0.5x-2

Answer:

S=288ft^2

Step-by-step explanation:

d=11.2ft, h=9.2ft

r=d/2=11.2/2=5.6

e=√r^2+h^2=√5.6^2+9.2^2

e=10.77ft

s=πr^2+πre

s=π(5.6)^2+π(5.6) (10.77)

s=91.67π

s≈288ft^2

If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be

r = d/2

r = 11.2/2

r = 5.6

Then the slant height of the cone will be

[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]

Then the surface area of the cone will be

[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

x = -3/2          x=2

Step-by-step explanation:

2x² - x-6=0

Factor

(2x     ) (x      ) =0

6 = 2*3

2*-2 +3 = -1

(2x  +3   ) (x  -2    ) =0

2x+3 =0      x-2 =0

2x = -3            x=2

x = -3/2          x=2

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Answer:

40 students per bus

Step-by-step explanation:

147 (Og #)-27(Number riding cars, irrelevant)=120

120/3 (# of buses)= 40 students per bus

Answer:

40 students

Step-by-step explanation:

First, let’s find how many students rode the buses.

There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.

The difference between 147 and 27 will be how many took buses.

Subtract 27 from 147

147-27=120

120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.

120/3=40

Therefore, 40 students were on each bus.

Answer:

Step-by-step explanation:

We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.

1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.

2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]

Answer:

Slant height of the pyramid = 11.66 m

Step-by-step explanation:

A squad pyramid has a volume of

V = ⅓ × (area of base) × (vertical height)

Area of the pyramid's square base = 144 m²

Volume = 384 m³

384 = ⅓ × 144 × (vertical height)

Vertical height = (3×384)/(144) = 8 m

But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.

The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.

The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.

Area of the square base of the pyramid = 144 m²

Area of a square = (side length)²

Side length = √(Area of the square) = √144 = 12 m

Using Pythagoras theorem,

(Length of the diagonal)² = 12² + 12² = 288

Length of the diagonal = (12√2) m

Half of the length of the diagonal of the square base = 6√2 m

Using Pythagoras theorem further

(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²

(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136

Slant height of the pyramid = √136 = 11.66 m

Hope this Helps!!!

Answer:

predicted value = 19.04518

Residual = -0.04518

Step-by-step explanation:

Residual = y - predicted y

In this case y = 19 for a 7 year old tree.

f(7) = 19.04518

Residual = 19 - 19.04518

Residual = -0.04518

Answer:

55°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (35 + 90) = angle B

180 - (125) = angle B

55 = angle B

So, angle B has a measurement of 55°

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]

Now, we have:

[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]

We want to combine like terms, which means combining all the terms with y in them:

[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

Answer:

2 1/4

Step-by-step explanation:

2 2/8

The top and bottom of the fraction can be divided by 2

2 1/4

Answer:

y= - 3/2x + 1