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Anastaziya [24]
3 years ago
8

Derek runs 4 laps around the track. If each lap around the track is 0.25 miles long, and he starts and stops in the same locatio

n, what is Derek's displacement? A) 0.5 miles. B) 0 miles. C) 1.0 miles. D) 0.25 miles
Mathematics
1 answer:
Alex3 years ago
8 0
The answer is B) 0 miles. Because displacement is the shortest distance between starting point and ending point. Since, his starting point and ending point is the same, hence, his displacement is 0 miles.
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Find the value of an investment of $20,000 for 12 years at an annual interest rate of 3.85%
MatroZZZ [7]

Answer:

<h2> $31,745</h2>

Step-by-step explanation:

Compound continuously:

FVn = PV x e^rn

where

PV = $20,000

r = 3.85%

n = 12 years

plugin values into the formula:

FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾

FV₁₂ = $31,745

3 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Neporo4naja [7]


Every body has two hands so we have to multiply 66 by 2.

66 multiplied by 2 is equal to 132

The answer is 132.

hope it helps.

Can you choose mine as the brainliest answer <u><em>please please?</em></u>

4 0
3 years ago
Read 2 more answers
NEED HELP PLZ PLEASE ANSWER THE QUESTION THX :) i will mark you brainlist​
iVinArrow [24]

Answer:

It equals a negative number because there is a negative and a postive which will result in a negative answer.

6 0
3 years ago
What is the following product?<br> PLEASE HELP,I'M STRUGGLING SO MUCH!
Licemer1 [7]

(x√7 - 3√8 ) (x√7 - 3√8 )

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * x√7

For this you will multiply the numbers/variables on the out side together and separately multiply the values inside the square root together

(x*x)(√7*7)

x²√49

7x²

Outside:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14  

Inside:

(x√7 - 3√8 ) (x√7 - 3√8 )

The process is the exact same as in the "outside"

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Last:

(x√7 - 3√8 ) (x√7 - 3√8 )

-3√8 * -3√8

(-3*-3)(√8*√8)

9√64

9*8

72

Now combine all the products of the FOIL together like so...

7x² - 6x√14 - 6x√14 + 72

Combine like terms:

 

7x² - 6x√14 - 6x√14 + 72

^^^When you add together square roots the number inside the radical stays the same, and you combine the numbers/variables attached to the radical on the outside

You selected the correct answer:

7x² -12x√14 + 72  

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota
julia-pushkina [17]
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

t_1=\frac{s}{16}

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

t_2=\frac{127-s}{3}

We have total time is 12 seconds

That is

                t₁ + t₂ = 12

                \frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m

We have

            s = 16 x t₁

            112 = 16 x t₁

             t₁ = 7 s

           t₁ + t₂ = 12

            7 + t₂ = 12    

             t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0
2 years ago
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