What is x3/4 equivalent to

sharon serves the volleyball to rhonda with an upward velocity of 18.5 ft/s. The ball is 4.5 feet above the ground when she stri

andreyandreev [35.5K]

we can use height formula

$h(t)=-\frac{1}{2} g t^2+vt+h(0)$

where

h(t) is the height after t seconds

v is velocity

h(0) is initial height

g is acceleration due to gravity

we know that

g=32 ft/s^2

we have

v=18.5ft/s

h(0)=4.5ft

so, we can plug these values

and we get

$h(t)=-\frac{1}{2}*32 t^2+18.5t+4.5$

$h(t)=-16 t^2+18.5t+4.5$

now, we have to find time when object will hit the ground

and we know that object will hit the ground when height becomes 0

so, we can set h(t)=0

and then we can solve for t

$0=-16 t^2+18.5t+4.5$

we can use pythagoras theorem

$t=\frac{-185-\sqrt{185^2-4\left(-160\right)45}}{2\left(-160\right)}=\frac{37+\sqrt{2521}}{64}$

$t=1.36265sec$ ..............Answer

7 0

3 years ago

Could you give me an example of a linear equation with a variable on both sides of the equal sign? Please don't look one up. You

lisov135 [29]

Answer:

4x + 6 = x

5x + 8 = x

6 0

3 years ago

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

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- 4 x + 9 = 21 x=___ help

faust18 [17]

X=-3
because
-4x=21-9
-4x= 12 divide both sides
x=-3

4 0

3 years ago

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How can I solve this Inequality ?

musickatia [10]

Add 12 to both sides.

q-12 > 3
q > 15

ANSWER: q > 15

4 0

3 years ago