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3 years ago

Simplity using properties of exponents. Write your answer using a

Mathematics

1 answer:

scZoUnD [109]3 years ago

7 0

Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek

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An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second

Elis [28]

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

Replacing with the values given:

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:

x = [ -48.6 + 69] /-32 = -0.6375

Negative:

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times

max2010maxim [7]

The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

$C = 2 \pi r$

Where, "r" is the radius and $\pi$ is a constant equal to 3.14

$C = 2 \times 3.14 \times 14\\\\C = 87.92$

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

$distance = 5 \times 87.92\\\\distance = 439.6$

Thus the horse traveled 439.6 feet after walking around the track 5 times

5 0

3 years ago

A cell phone company orders 600 new phones from a manufacturer. If the probability of a phone being defective is 3.5%, predict h

julia-pushkina [17]

600×3.5%=21. As a result, there are 21 phones that likely to be defective. Hope it help!

4 0

3 years ago

Write a phrase for each algebraic expression 8y

Mars2501 [29]

The product of 8 and a number ...with y being the number

5 0

4 years ago

What is the 7th term in the sequence?

timama [110]

To determine the 7th term of a given sequence, we use the formula given above which is

an = 30 - 4n

where an is the value at the nth term of a sequence

Therefore,

an = 30 - 4n
an = 30 - 4(7)
an = 2

5 0

3 years ago

Read 2 more answers