s part of a science experiment, Natasha drops a bouncy ball from various heights, h, and observes the height to which the ball rebounds, r. The table shows the results of Natasha's experiment.

Initial height, h (in meters) Rebound height, r (in meters)
0.30 0.24
0.50 0.4
0.80 0.64
1.00 0.8
1.20 0.96

Answer:

Hi!

Step-by-step explanation:

-5 (x-3) + 3(4 - x) + 2x

Let's distribute the -5 within its parentheses.

A negative multiplied by a negative number has a positive result.

Let's distribute the 3 within its parentheses.

-5x+15+12-3x+2x

Combine like terms...

-5x-3x+2x=-6x

15+12=27

-6x+27

Both numbers are divisible by 3...

3(-2x+9)

or -3...

-3(2x-9)

Answer:

Step-by-step explanation:

[tex]Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}[/tex]

BC = 15 cm

3x = 15

x = 15/3 = 5

AB =4x = 4*5 = 20 cm

Pythagorean theorem,

AC² = AB² + BC²

       = 20²  + 15 ²

       = 400 + 225

       = 625

AC = √625 = 25 cm

AC = 25 cm

[tex]Sin \ A = \frac{opposite \ side \ of \ angle A }{hypotenuse}\\\\ = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}[/tex]

Answer:

yes

Step-by-step explanation:

it is not correct I think

[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]

[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]

[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]

[tex]\\ \sf\longmapsto 6y=-5[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]

Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

Answer: D) 10

Step-by-step explanation:

All angles in a triangle adds up to 180°

60° + 50° + 7x = 180°

7x = 180° - 60° - 50° = 180°- 110° = 70°

x = (70 ÷ 7)° = 10°

Answer:

7t + 6 + 9v

Step-by-step explanation:

7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)

7t + 6 + 9v

Hope this helps, thank you :) !!

Answer:

7t+6+9v

Step-by-step explanation:

7t+6+3v+6v

7t has no opponent it is =7t

6 is on it own =6

3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v

so ur ans. is =7t+6+9v

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

I hope it's right have a great day :)

Answer:

B

Step-by-step explanation:

Total surface area=Sum of all figure area

=380+928+380+608=2296

Answer:

c. 18

Step-by-step explanation:

First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.

35*18=630

15*10=150

Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left

10*30=300

630+150+300=1080

1080/60=18

Hence, the answer is C(18)

Answer:

B

Step-by-step explanation:

[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

Answer:

sinA= 5/13; cosB= 5/13

Step-by-step explanation:

sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13

Answer:

Q1. Volume of the prism

= 75(20)(14) cm3

=21000 cm3

Volume of the cylinder

= π(75^2)(120)cm3

=2120575cm3 (cor. to nearest int.)

The cylindrical bale has a greater volume.

Q3a. Volume of the pyramid

=(1/3)(40)(64)(64)m3

=54613 m3 (cor. to nearest int.)

Q3b. Volume of air per person

=(1/3)(40)(64)(64)(1/5000) m3

=10.9 m3 (cor to 3 sig fig)

hopefully this answer can help you to answer the next question.

Answer:

5

Step-by-step explanation:

2x + 1 = 3x - 4

-2x       -2x

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

      1 = x - 4

    +4       +4

   ----------------

      5    =  x

The answer is 5.

Hope this helped.

Quadrants I and IV

When we graph y^2 = x - 4, we see that it is on the x axis, and goes up into Quadrant I, and down into Quadrant IV

Answer:

2/5

Step-by-step explanation:

The fraction that play basketball is the number that play basketball over the total

14/35

Divide the top and bottom by 7

2/5

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Answer:

246.62007 cm. HTH!

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·9+5·9+10·9+1

2·﹣84+2·(8·5)2+2·(8·10)2﹣54+2·(5·10)2﹣104≈246.62007

Answer:

increasing spread epidemics your outlook

Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480

b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500

I hope I helped you^_^

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

Answer:

she is 4 years old just divide 39 by 9

Answer:

Option B is the answer

Step-by-step explanation:

x= 8, y=4√2

We know from pythagorean's law

(Hypotenuse) ^2 = (base)^2 + (height) ^2