Amir stands on a balcony and throws a ball to his dog, who is at ground level.
The ball's height (in meters above the ground), xxx seconds after Amir threw it, is modeled by:
h(x)=-(x-2)^2+16h(x)=−(x−2)
2
+16h, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 2, right parenthesis, squared, plus, 16
How many seconds after being thrown will the ball hit the ground?

Answer:

Step-by-step explanation:

r = 3/4

[tex]V(r) =\dfrac{4}{3}\pir^{3}\\\\V(\dfrac{3}{4})=\dfrac{4}{3}*\pi \dfrac{3}{4}*\dfrac{3}{4}*\dfrac{3}{4}\\\\=\dfrac{3*3}{4*4}\pi \\\\=\dfrac{9}{16}*3.14\\\\=1.77[/tex]

Answer:

Divide both sides by 2²ˣ

Substitute (3/2)ˣ = t

Solve for t:

Positive root is considered as (3/2)ˣ can't be negative.

Answer:

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]

rationalise the denomimator:

[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]

Answer:

39) a) [tex]2^{1}[/tex]= 2

     b) [tex]2^{3}[/tex]= 2×2×2=8

     c)[tex]2^{t}[/tex]

40) no

Step-by-step explanation:

40) both point A and B is below the point C. therefore it cannot pass through point c

Answer:

7, 11, 5

Step-by-step explanation:

7 + 11 = 18

18 + 5 = 23

Answer:

jsjwbsihdn3oiansjsos

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Answer: 14 degree decrease

Step-by-step explanation:

8-14= -6

Answer:

x = -4

Step-by-step explanation:

-x+7 = -6x-13

Add 6x to each side

-x+7+6x = -6x-13+6x

5x+7 = -13

Subtract 7 from each side

5x+7-7=-13-7

5x = -20

Divide by 5

5x/5 = -20/5

x = -4

5y3+y+3

5y4+3

I'm not sure but I think it will help you out

Answer:

wheres the rest of it

Step-by-step explanation:

Step-by-step explanation:

The formula for Arithmatic Series is

[tex]a_n=a_1+(n-1)d[/tex]

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]

Answer:

D. (r + s)t = rt + st

Step-by-step explanation:

Distribute means that the term outside gets multiplied to each term on the inside of the parentheses

(r + s)t = rt + st

Answer:

the answer is no c because the translation is done in clockwise taking y intercept in 6 units

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a rectangle are equal , then perimeter

2(- 2x - 6) + 2(4x + 4) = 16 ← distribute parenthesis and simplify left side

- 4x - 12 + 8x + 8 = 16

4x - 4 = 16 ( add 4 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

x=1/4

Step-by-step explanation:

perimeter of a rectangle

2(L+w)

-2x-6(4x+4)

open the bracket

-2x(4x+4)-6(4x+4)

-8x^2-8x-24x-24

-8x^2-32x-24

2(-8x^2-32x-24)

-16x^2-64x-48

coefficient of x is 64

16=64x

x=1/4

Answer:

y = -5/7x + 27/7

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 6 / 4 - (-3)

-5 / 7

= -5/7

y = -5/7x + b

1 = -5/7(4) + b

1 = -20/7 + b

27/7 = b

Step-by-step explanation:

radius =x+2

diameter=4x

Diameter=2(radius)

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=4/2

x=2

Subtitute x=2 in radius:

r=2+2=4

Area=πr²

Area=3.14×4²

Area=3.14×16

Area=50.24

Both the circles are identical so area is same.

Note:if you need to ask any question please let me know.

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope-intercept form: y = mx + b

By comparing the formula to the equation given, it is clear the slope of the line is -1/2.

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

the answer is 7/9. ...........

Answer:

[tex]\dfrac{21}{4}[/tex]

Hello,

Step-by-step explanation:

[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

Answer:

232

Step-by-step explanation:

Since the polygon is regular, each side of the polygon is equal

[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]

[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]

[tex] \frac{22}{3} = \frac{1}{3} x[/tex]

[tex]x = 22[/tex]

This means each side is worth

[tex]22 + 7 = 29[/tex]

or

[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]

There is 8 sides so the perimeter is

[tex]29 \times 8 = 232[/tex]

Answer:

Step-by-step explanation:

The two angles are interior angles on the same side of the transversal. They are supplementary.

2x + 50 + 5x - 80 = 180             Combine like terms

7x - 30 = 180                              Add 30 to both sides

7x = 210                                     Divide by 7 on both sides

x = 210/7

x = 30

Answer:

It will be -8≤×≤8

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9