Quadratic function h can be used to model the height in feet of a rocket from the ground
t seconds after it was launched. The graph of the function is shown.

Answer:

A = 59 in²

Step-by-step explanation:

the area (A) of the shaded region is calculated as

A = area of outer triangle - area of inner triangle

  = [tex]\frac{1}{2}[/tex] bh - [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

  = [tex]\frac{1}{2}[/tex] × 13 × 14 - [tex]\frac{1}{2}[/tex] × 8 × 8

  = 91 - 32

  = 59 in²

Answer:

The third question is asking you to use the diamond method to solve. At the top of the x would be -16 and the bottom would be -6. The left side would have -8 and the right side would have 2. So the factored form would be (n-8)(n+2)

Step-by-step explanation:

The same thing applies to part b. The top of the x would be 15 and the bottom -8. The left would be -3 and the right would be -5. The factored from would be (x-3)(x-5)

Answer:

Wow! what a worksheet lol! I think I got all your answers here!

Step-by-step explanation:

Answer: C

Step-by-step explanation:

If  the confidence interval is 95%, the maximum number of employees who could have agreed is about  is 144.

First step

Confidence interval=(Population±Margin of error)

Confidence interval=(0.65±0.0675)

Confidence interval=(0.65-0.0675); (0.65+0.0675)

Confidence interval=0.5825; 0.7175

Second step

Maximum number= 0.7175×200

Maximum number=143.5

Maximum number=144 (Approximately)

Therefore the maximum number of employees who could have agreed is about  is 144.

Learn more about maximum number here:https://brainly.com/question/14927859

Answer:

86

Step-by-step explanation:

because 86 reminds me of 69

Answer:

Sorry I only know nuber 11 witch is 15
                                                          _
                                                         100

Step-by-step explanation:

Answer:

Step-by-step explanation:

It represents the initial number of bacteria to start with. It can represent nothing else.

Answer:

A statistical question Len could ask is "How tall is a red kangaroo?"

Step-by-step explanation:

A statistical question is something that we can ask and test hypotheses about using collected data. There will not be a specific answer, but rather multiple answers and we can average them in a sampling distribution.

Let's examine each question:

"How tall is a red kangaroo?"

"Are there red kangaroos in Asia?"

"Are red kangaroos an endangered species?"

What is the tallest red kangaroo ever recorded?"

Hope this helps :)

Answers:

This can be found by using the combinations and permutations formulas.

Combinations being the C equation and Permutations being the P equation.

21: [tex]C_{6}(21) = \left[\begin{array}{ccc}21\\6\end{array}\right] =\frac{21!}{6!(21-6)!}=\frac{21*20*19*18*17*16}{6*5*4*3*2*1} = 54264[/tex]

answer: 54264

22: [tex]C_{2}(n) = \left[\begin{array}{ccc}n\\2\end{array}\right] =\frac{n!}{2!(n-2)!}= answer[/tex]

answers:

  Art: 15

  Writing: 21

  Technology:  28

23: [tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]

answer: 720

Explanation:

A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

The area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

In this diagram, three concentric circles' rectangle.

The radius of the smallest circle is 3.

[tex]r_1=3\rm\unit[/tex]

Thus, the area of it is,

[tex]A=\pi (3)^2\\A=28.27\rm\; unit^2[/tex]

Let suppose the mid-point of the rectangle is D. Here, OB is the diagonal of the rectangle in which,

[tex]OD=BD[/tex]  

The radius of the yellow ring's outer face from point O is,

[tex]r_3=OD+BD\\r_3=OD+OD\\r_3=2OD\\[/tex]

OD is the radius of the small circle, which is 3 units long. Thus,

[tex]r_3=2\times3\\r_3=6\rm\; units[/tex]

The line segment OC is the radius of the white circle from point O. In the triangle COB from the Pythagoras theorem, the radius r₂ of the middle circle is,

[tex]r_2=\sqrt{r_3^2-r_1^2}\\r_2=\sqrt{6^2-3^2}\\r_2=3\sqrt3[/tex]

Thus, the area of the yellow ring is,

[tex]A_y=\pi r_3^2-\pi r_2^2\\A_y=\pi (6)^2-\pi (3\sqrt{3})^2\\A_y=28.27\rm\; unit^2[/tex]

The area of white ring is,

[tex]A_w=\pi r_2^2-\pi r_1^2\\A_w=\pi (3\sqrt{3})^2-\pi (3)^2\\A_w=56.55\rm\; unit^2[/tex]

Hence, the area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².

Learn more about the area of the circle here;

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Answer:

20, 18,14,24 are not perfect squares.

Answer:

24, 14, 18, 20

Step-by-step explanation:

A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.

5 x 5 = 25

6 x 6 = 36

4 x 4 = 16

hope this helps!

Answer:

I support, but this is actually the addition.

492+817 = 1309, yes :)

Step-by-step explanation:

Answer:

1/2 x [(12/2)-6]+13

Step-by-step explanation:

something like that. hope it helped sista

Answer:

Step-by-step explanation:

The intersection is when both functions have same coordinates

Substitute to get

The y- coordinate is

So the intersection point is (1, 14)

Answer:

(1, 14)

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=-2x+16\\g(x)=4x+10\end{cases}[/tex]

Substitute the function notation for y to create a system of equations:

[tex]\begin{cases}y=-2x+16\\y=4x+10\end{cases}[/tex]

To find the points of intersection of the given functions, solve the system of equations.

Multiply the first equation (function f(x)) by 2:

[tex]\implies 2y=-4x+32[/tex]

Add this to the second equation (function g(x)) to eliminate x:

[tex]\begin{array}{r l}4x+10 & = y\\+ \quad -4x+32 & = 2y\\\cline{1-2} 42 & = 3y\end{array}[/tex]

Solve for y:

[tex]\implies 3y=42[/tex]

[tex]\implies y=14[/tex]

Substitute the found value of y into one of the equations and solve for x:

[tex]\implies 4x+10=14[/tex]

[tex]\implies 4x=4[/tex]

[tex]\implies x=1[/tex]

Therefore, the point of intersection of the given functions is (1, 14).

Answer:

See below ~

Step-by-step explanation:

1.

2.

3.

Answer:

The equation of the line in point-slope form is y - 2 = -4(x + 5).

Step-by-step explanation:

Use the point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].

Substitute the point (-5, 2) and the slope m = -4 into the equation.

If we stop here, this is the equation of the line in point-slope form.

Answer:

Step-by-step explanation:

The compound Inequality is: 1. x -3 < - 9Adding 3 to both sidesx -3 + 3 < -9 + 3x < -6x  ∈ (-∞,-6)2. x + 5 ≥ 12Subtracting ,5 from both sidesx +5 -5 ≥ 12 -5x ≥ 7x ∈ [7 , ∞)Combining , solution of inequality 1 and inequality ,2→→x ∈ (-∞,-6) ∪x ∈ [7 , ∞)Depicting on the number line ,the solution setOption C: A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right

Answer:

so I believe we can do 15% of 45, so that is 6.75.

so now we do:

 45.00

+  6.75

 51.75 is your answer!

please mark brainliest if correct!

Answer:

22km

Step-by-step explanation:

5 x 4 = 20

1 x 4= 4

4 divided by 2 is 2

20+2=22km

Answer:

504 in cubed

Step-by-step explanation:

I am assuming this is a rectangular prism, since you did not show a picture.

l x w x h

14 x 4 x 9

14 x 36

504

Answer: Choice C

7*r+7*4-3

=========================================================

Reason:

We use the distributive property to go from 7(r+4) to 7*r+7*4

Multiply the outer 7 by each term inside.

Then the -3 tags along without any changes to it

So we go from 7(r+4) - 3 to 7*r+7*4 - 3

This can be simplified further to 7r+25, but your teacher has chosen not to simplify at this time.

Answer:

94 minutes

Step-by-step explanation:

To get to 9:00, we add 6 minutes. From 9 to 10, there's 60 minutes. From 10 to 10:28, there's 28 minutes.

If we add them all together we get 94 minutes or 1 hour and 34 minutes.

Hope this helps.

Answer:

1:34 hours

Step-by-step explanation:

Step 1:  Determine how long was Chris doing chores

10:28 AM - 8:54 AM

9:88 AM - 8:54 AM

1:34 hours

Answer:  1:34 hours

Answer:

Your Answer is 11 inches by 2 inches

Step-by-step explanation:

Area of Rectangle: Area = Length * Width

Given information:

Put that into the Formula.

Area = Length * Width

22 in^2 = (2x - 1) * (x - 4)

Solve.

22 in^2 = (2x - 1) * (x - 4)

[tex]22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0[/tex]

Factor it.

(2x^2 - 9x - 18) = 0

(2x + 3)(x-6) = 0

[tex]x=-\frac{3}{2} ,6[/tex]

Plug that into the Length and Width to find the actually Length and Width.

Length:

[tex]2x - 1\\2*-\frac{3}{2}-1\\ -3-1\\-4\\[/tex]

Width:

[tex]x - 4\\-\frac{3}{2}-4\\ -\frac{11}{2}[/tex]

Area = Length * Width

Area = - 4* -11/2

Area = 22

Length:

[tex]2x - 1\\2*6-1\\ 12-1\\11\\[/tex]

Width:

[tex]x- 4\\6-4\\ 2[/tex]

Area = Length * Width

Area = 11 * 2

Area = 22 in^2

The function f(x) is a sine graph, and the function with the greatest maximum range value is the function f(x)

From the complete question (see attachment), the functions are given as:

Functions f(x) and g(x)

The maximum range value of these functions is their maximum output value

Function f(x) has a maximum range value of 3, while function g(x) has a maximum range value of -2

3 is greater than -2

Hence, the function with the greatest maximum range value is the function f(x)

Read more about maximum function values at:

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Solution: x = 5; The slope is undefined.

The slope that is perpendicular to the x-axis is undefined.

Explanation:

Given point: (5,2)

Since the line is perpendicular to the x-axis, then, the line is vertical.

Hence, x = 5

Answer:

x = 5, the slope is undefined

Step-by-step explanation:

Hello!

To be perpendicular to the x-axis, the line has to intersect at a 90° angle, causing it to be a vertical line with an undefined slope.

This removes the two middle options, as they have a slope of 0.

Consequently, looking at the two options, y=2, and x=5, y=2 would give us a parallel line to the x-axis, as we are drawing a line through all points with a y-coordinate of 2.

The correct option is x=5.

Answer:

112 degrees

Step-by-step explanation:

180-68=112

Since they are supplementary they form a straight angle, or 180 degrees so the angle AED is 112

Answer:

112

Step-by-step explanation:

∠AED and 68 are Linear pair angles.

That is their sum will be equal to 180,

∠AED + 68 = 180

∠AED = 180 - 68

∠AED = 112