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zvonat [6]
3 years ago
14

A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +

vt + s, approximately how long will it take the firecracker to hit the ground?
A Five seconds

B Six seconds

C Seven seconds

D Eight seconds
Mathematics
2 answers:
Masja [62]3 years ago
3 0

When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04

The negative time is extraneous. Therefore,t = 7.04 s.

Seven Seconds is your answer!

Aneli [31]3 years ago
3 0

I did the test and 7 seconds was the right answer hope this helps

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Solve the equation. Round to the nearest hundredth. Show work.
denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is 5^{-2x-1}=4^{4x+3}.

Now we need to solve equation 5^{-2x-1}=4^{4x+3} and round to the nearest hundredth.

5^{-2x-1}=4^{4x+3}

\log(5^{-2x-1})=\log(4^{4x+3})

(-2x-1)\log(5)=(4x+3)\log(4)

-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)

-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)

x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}

Now use calculator to calculate log values, we get:

x=-0.65817959094

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0
3 years ago
Rachel jogged along a trail that was 1/4 (fraction) of a mile long. She jogged along the trail 8 times. How many miles did Rache
OverLord2011 [107]
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5 0
3 years ago
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aev [14]

Answer:

Its A.

Step-by-step explanation:

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6 0
3 years ago
What is the value of x in the equation log5 x = 4 jmap?
steposvetlana [31]
To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
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5 0
3 years ago
How do you round the area of a circle with 3.14?
kirill115 [55]

Answer:

(This is a example since you don’t have anything to round to)

Example Answer if the radius is 4 - 50.24

Step-by-step explanation:

Example Radius : 4

Area : 3.14

We have the mulitiply 3.14 times The Example Radius 2 times because The diameter of a circle is 2 times its radius.

( 3.14 x 4 x 4) 50.24

If you know the diameter, it’s a half or 1/2 as large.

Therefore, if the radius was 4, it would be 50.24.

Youre welcome :)

7 0
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