4. A plane was flying at an altitude of 55,000 feet when it began the descent toward the airport. The airplan
descends at a rate of 825 feet per minute.

A. What is the function rule that describes this situation?

B. What is the altitude of the plane after it has descended for 13 minutes? Show your work

C. Use the function in Part A to determine how long it takes for the plane to land if it descends at a
continuous rate.

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)

Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:

[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]

Substitute the given coordinates where a = 1 and b = 2

[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]

Hence the coordinate of point P is (4, 0)

Learn more here: https://brainly.com/question/3510899

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

Answer:

x-3/x+4 ÷ x^2-1/x  ; x ≠ -4, 0

Step-by-step explanation:

x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->

(x-3)/(x-4) * x/(x^2-1) -->

((x-3)(x))/((x-4)(x-1)(x+1))-->

No way to simplify it further-->

x-3/x+4 ÷ x^2-1/x

Answer:

92

Step-by-step explanation:

180-88=92

Supplementary angles equal 180 degrees

Answer:

92 degrees

Step-by-step explanation:

180-88=92

8 1/4 should be the answer

Answer:

8 1/4

Step-by-step explanation:

33/4 simplified is 8 1/4

Answer:

X = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 * -6/5

x = 60/15

x = 4

Answer:

The result for this equation is [tex]x =4[/tex] .

Step-by-step explanation:

Solve the equation for [tex]x[/tex] :

[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]

[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]

[tex]x = 4[/tex]

So, the answer for this equation is [tex]x =4[/tex]  .

Answer:

D

Step-by-step explanation:

see attachment

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

Answer:

the second option

Step-by-step explanation:

The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:

x² + 16x + y² - 16y + 124 = 0

(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64

(x + 8)² + (y - 8)² = 4

Now we can see that the circle has center (-8, 8) and radius 2.

To graph it, we can plot the center point and then draw a circle with radius 2 around it.

Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

Answer:

The area of the window is of 840 square inches.

Step-by-step explanation:

To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.

Matematically:

[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]

In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.

In this question:

[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]

All the measures in inches, so the area is in square inches.

[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]

The area of the window is of 840 square inches.

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

Answer:

8z^3-36z^2+54z-27

Step-by-step explanation:

(2z-3)^3

(2z)^3*(2z)^2*3+3*2z*3^2-3^3

8z^3-3*4z^2*3+3*2z*9-27

8z^3-36z^2+54z-27

Answer:

[tex]8z^3-36z^2+54z-27[/tex]

Step-by-step explanation:

[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

Answer:

Step-by-step explanation:

3.2 times 1.5  plus 6 times4.2= 30 meters of carpet.

Answer:

He needs 23.7 of carpet

Step-by-step explanation:

multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

Answer:

Sorry man i dont know they answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Value of a cube = length*height*width

Value of a cube = 44*45*43

                          = 85140

I hope it'll help you much

Thank you for asking

Answer:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Step-by-step explanation:

For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:

[tex] y = 8.50 x -5[/tex]

And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Look at the attached picture

hope it will be helpful to you..

Answer:

1185 bin

Step-by-step explanation:

i rounded so i and i multiply and didved and i got that i got 1185 bin

Answer:

The correct answer is option c.

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Answer:

the answer is 27

Step-by-step explanation:

because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27