In annual Student vs. Faculty Kickball game, Brian kicked a ball that was in the air for a total of 4.5 seconds before it landed on the ground. Assuming that the ball left from the ground (initial height=0) which of the following was the initial vertical velocity of the ball? HINT: Use the height equation for English units.

Answer:

64/27

Step-by-step explanation:

(4/3)^3=(4/3)*(4/3)*(4/3)=64/27

Answer:

[tex]2 \frac{10}{27}[/tex]

Step-by-step explanation:

4/3 × 4/3 × 4/3 = 64/27

You can turn it into a mixed number ([tex]2 \frac{10}{27}[/tex]).

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

642/125

Step-by-step explanation:

and the other person got it

Answer:

For those who achieve a year of sobriety, less than half will relapse. If you can make it to 5 years of sobriety, your chance of relapse is less than 15 percent.

So A

Answer:

2

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.

The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.

The area of the rectangle with a length of 20mm and height of 14 mm is,

Area of the rectangle = 20mm × 14mm

                                    = 280 mm²

The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,

Area of the triangle = (1/2) × 6mm × 14mm

                                 = 42 mm²

Now, the total area of the given figure can be written as,

The total area of the given figure

= Area of the rectangle + Area of the triangle

= 280 mm² + 42 mm²

= 322 mm²

Hence, the area of the given figure is 322 mm².

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Answer:

Answer is  x = 24

Matches 3/2 x +1 = 4/5x-5

Step-by-step explanation:

We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8

where 16 is 2/2 and 1/2 of 16 = 8

We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.

When 1 is added its done at end of both equations as multiplication occurs before hand.

Gracie has the same as Nancy =  5x+5 means   25 x 5 = 250+5 = 255 each.

50 x 5 = 250 + 5 +5= 510

510 + 24 + 1 = 535 seashells.

Because

24 + 1 = 25

matches

5/4 of 24 = 30

30 - 5 = 25

x=16 is the equation that represents this situation and identify its solution.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of shells Marry has.

Gracie has 5 more than times the number of shells Mary has.

Gracie = 1 1/4x + 5

Nancy  = 1 1/2x+ 1

Now we have given that: Gracie =Nancy

[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1

5/4x + 5 = 3/2x + 1

5x + 20 = 6x + 4

Subtract 6x  and 20 on both sides

5x - 6x = 4 - 20

-x = - 16

x = 16.

Hence, x=16 is the equation that represents this situation.

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Step-by-step explanation:

Given,

RSTU is a parallelogram,

so, we need to find the value of x,

let's find it,

2x+15 = x+15 (opposite side of parallelogram are equal and parallel)

2x - x = 15-15

x=0

Therefore, the value of x is 0.

If you have doubt. then let's clear it by putting the value of x.

so, 2×0+15 = 0+15

15=15 {as already said that the sides are equal}

proved..

so, the value of x is 0.

Hope it helps.....

Answer:

x=0

Step-by-step explanation:

Assuming the two sides are equal length

2x+15 =x+15

Subtract 15 from each side

2x =x

Subtract x from each side

2x-x = x-x

x=0

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

Answer:y=4x

Step-by-step explanation:

Answer:

4x = y

Step-by-step explanation:

Since we see that "X" multiplied by 4 is "Y" in every pattern,

we get the equation that 4 times of x (4x) is equal to the corresponding y.

and Thus we have the final answer of 4x = y.

Hope this helps!

Answer:

[tex] 2w^2(w + 2)(4w - 3) [/tex]

Step-by-step explanation:

[tex] 8w^4 + 10w^3 − 12w^2 = [/tex]

First, factor out the GCF of all terms, 2w^2:

[tex] = 2w^2(4w^2 + 5w - 6) [/tex]

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

[tex] = 2w^2(4w^2 + 8w - 3w - 6) [/tex]

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

[tex] = 2w^2[4w(w + 2) - 3(w + 2)] [/tex]

[tex] = 2w^2(w + 2)(4w - 3) [/tex]

Answer:

x = 162 degrees.

Step-by-step explanation:

m < RSP = 180 - 72

= 106 degrees (adjacent angles)

m < Q = m < RSP ( Opposite angles in a parallelogram are equal).

So m < Q = 180 degrees.

m < x = 360 - 90 - 108

= 360 - 198

= 162 degrees.

Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°

At angle S :

S + 72 = 180 (sum of straight line angles)

S = 180° - 72°

S = 108°

S = Q (opposite angles of a parallelogram)

Q = 108°

Hence,

108° + x + 90 = 360

x = 360 - (108 + 90)

x = 162°

Hence, the value of x is 162°

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Answer:

Solution: The average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by  it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = .

It is given that the rate of change is .

Equate both equations.

Therefore, the average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Answer:

6

Step-by-step explanation:

$20/$3 = 6.666...

We need to round down to 6.

Answer:

She can get 6 gold fish

Step-by-step explanation:

Take the amount of money and divide by the cost of the gold fish

20/3 = 6 with 2 dollars left over

She can get 6 gold fish

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation:

Answer:

B. 945 m^3

Step-by-step explanation:

We just need to find the volume of the big box and the small box and find the difference.

To find the volume of a box, we multiply length, width, and height

Big box:

15.3x7x10=1071

1071

Small box:

4.2x3x10=126

126

1071-126=945

945 m^3

Answer:

b

Step-by-step explanation:

54 is the answer of -4(-5)-(2(-17))

Answer:

1 . 54

Step-by-step explanation:

Answer:

10,500 cubic inches

Step-by-step explanation:

1. Find the new lengths after the scale factor

6 · 2.5 = 15

8 · 2.5 = 20

14 · 2.5 = 35

2. Solve for the volume (length · width · height

15 · 20 · 35 = 10500

The required volume of the prism after the scale factor is 2.5 is applied to the dimensions is 10,500 cubic inches. Option D is correct.

DImension for prism,
Length = 14
width = 8
Height = 6
Scale factor = 2.5
New volume to be determined.

The scale factor is defined as the ratio of modified change in length to the original length.

Applying scale factor 2.5 to the dimensions,
Length = 2.5 * 14 = 35
width = 8 * 2.5 = 20
Height = 6* 2.5 = 15

The new volume of the prism  = length * width *height
                                                    = 35 * 20 * 15
                                                    = 10, 500

Thus, The required volume of the prism after the scale factor is 2.5 is applied to the dimensions is 10,500 cubic inches. Option D is correct.

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Answer:

d.11/12

Step-by-step explanation:

1/4x3=3/12

2/3x4=8/12

3/12+8/12=11/12

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

Answer:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Step-by-step explanation:

Assuming that you tried to write:

[tex](r^{-3} s^2 t)^4,[/tex]

we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get

[tex](r^{-12}s^8t^4)[/tex]

Because you don't want any negative powers in the top, we can move it down to get:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Answer:

there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]

Since, diameter 'D' = 2r,

[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]

[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]

[tex]\frac{\text{C}}{12}=\pi[/tex]

Therefore, equation given in Option (B) will be the correct expression.

Answer:B, C, & F

Step-by-step explanation:

got correct on edge

KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.

Answer: You started at (-3, 4)

Step-by-step explanation:

If you started at (-3, 4) and moved down 3 units, you would be at (-6, 4). If you moved back up 3 units, you would be at your original starting point (-3, 4).

Answer:

Step-by-step explanation:

All motion here is up and down, so the x-coordinate does not change.

Work backwards to answer this question:

(-3, 4), and down three units, and then up three, puts you where you started, at (-3, 4).

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

5x - 9 < 91

The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

Thus,

5x - 9 + 9 < 91 + 9

5x < 100

The final step is to perform the division property by dividing both sides by 5, in order to solve for x.

5x/5 < 100/5

x < 20.

Answer:

fraction: 87/100. decimal: 0.87

Step-by-step explanation:

Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.

Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.

100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.

Sorry if this is confusing, and I hope it helps :)

Answer:

Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex]  The decimal = 0.87

Step-by-step explanation:

first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

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▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

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