A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?

Answer:

B = 135

Step-by-step explanation:

An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:

135 × 8 = 1080.

Hope this helped.

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Step-by-step explanation:

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Answer:

JKM is acute and MKL is obtuse

Step-by-step explanation:

because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°

Answer: will be D

Step-by-step explanation:

The volume of the frustum that is shown in the diagram is: C. 256 m³.

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

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Answer:

ur answer is 199 thank me later

Answer:

194 ft²

Step-by-step explanation:

Area of rectangle R1 = length * width

                                  = 8 * 5

                                  = 40  square feet

Area of rectangle R2 = 14 * 11

                                    = 154 square feet

Area of the figure = 40 + 154 = 194 ft²

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]

Answer:

(x+4)(x+12)

Step-by-step explanation:

Answer:

(x +4) (x+12)

Step-by-step explanation:

product 48

Sum 16 ( 12 and 4)

(x2 +12x) +(4x +48)

=(x+4) (x+12)

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

Answer:

y = 5x

In the coordinate (3, 3), the first number is the x value and the second number is the y value.

So, does 3 = 5(3).

The answer is no, so this coordinate does not make the equation true.

Let me know if this helps!

Answer: No, the given point does not make the equation true.

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

Explanation:

There are three different ways to approach this.

One way is to plug x = 3 into the equation to find that

y = 5x

y = 5*3

y = 15

But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.

------

Or another method we could do is plug x = 3 and y = 3 to find a contradiction

y = 5x

3 = 5*3

3 = 15

The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.

------

The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Answer:

a7 = 55 + (7-1) 10

Step-by-step explanation:

See,

It's given that it will take 7 hours for Jiya to move.

$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.

Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.

Therefore, the correct option is:

a7 = 55 + (7-1) 10

Step-by-step explanation:

Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that

(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with

ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².

Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible

Answer:

Equation of the line is y = 4x + 19

Step-by-step explanation:

slope, m = 4

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

consider (-3, 7):

[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]

equation:

[tex]y = 4x + 19[/tex]

Answer:

y = 4x + 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 1 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes, then

y = 4x + c ← is the partial equation

To find c substitute (- 3, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 4x + 19 ← equation of parallel line

Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

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Answer:

Let's first find the slope.

-13 - (-8) /  2-1

-5/1

-5

The slope is -5.

The y intercept, or where the line crosses the y=axis, is equal to -3.

So, the equation is y=-5x-3

Let me know if this helps!

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of proportion

When x = 15 , then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

Answer:

Step-by-step explanation:

Here, MN= NP

→ [tex]128=2x+70[/tex]

→ [tex]2x=128-70[/tex]

Subtract :-

→ [tex]2x=58[/tex]

Divide both sides by 2:-

→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]

→ [tex]x=29[/tex]

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Answer:

Step-by-step explanation:

The basic 30-60-90 triangle ratio is:

Side opposite to 30° angle is : x

Side opposite to 60° angle is : x √3

Side opposite to 90° angle is : 2x

From the diagram we learn that

x√3 = 10

[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]

∠T = 30°, Side opposite to ∠T is AC = 5.77

∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54

Answer:

(7×x)+14

Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis

Hope this helps!

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

volume = w*h*l

volume = w*h*l

volume = w*h*l

Let the no be x

ATQ

[tex]\\ \sf\longmapsto 6x+11=17[/tex]

[tex]\\ \sf\longmapsto 6x=17-11[/tex]

[tex]\\ \sf\longmapsto 6x=6[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{6}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

1

Step-by-step explanation:

let the number be x

and solve it

Answer:

baba booey

Step-by-step explanation:

444

Answer:

D: {-6, 6}

Step-by-step explanation:

The domain are all the possible values for x. For this graph in the x-position, it starts from -6 to +6. Therefore, the domain will be {-6,6}.

Answer:

[tex]-6\leq x\leq 6[/tex]

[tex]x[/tex] ∈ [tex][-6, 6][/tex]

Step-by-step explanation:

The domain is the set of all numbers for which a function is defined. As one can see on the given graph, the function spans between the numbers (-6) and (6). Therefore, the function is defined between the numbers (-6) and (6). The closed dots on either end of the function signify that the function includes these values. Thus, the domain of the function is as follows:

([tex]-6\leq x\leq 6[/tex])

In set notation,

([tex]x[/tex] ∈ [tex][-6, 6][/tex])

Answer:

A

Step-by-step explanation:

A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.

Answer:

D. Both ends go down.

Step-by-step explanation:

f(x) = -2(x-17)^4

As x goes to -∞

f(-∞) = -2(-∞)^4 = -2 (∞) = -∞

As x goes to ∞

f(∞) = -2(∞)^4 = -2 (∞) = -∞

Both ends go to  -∞, or go down

Answer: x = -10

Step-by-step explanation:

Given

3x / 5 = -6

Multiply 5 on both sides

3x / 5 × 5 = (-6) × 5

3x = -30

Divide 3 on both sides

3x / 3 = (-30) / 3

x = -10

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3x/5 = - 6

first take 5 to the right: 3x = - 6×5

3x = -30

then divide 3 on both sides

3x/3 = -30/3

x = - 10

I hope this answers your questions.