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dalvyx [7]
1 year ago
11

Bob and joe have a class together at Kensington college. They leave the class at the same time. Bob goes to the library at 4 mil

es per hour, joe heads to the exact opposite direction at 2 miles per hour. How long will it be before the classmates are 2 miles apart .
Mathematics
1 answer:
galben [10]1 year ago
5 0

Solution

For this case we can create the following schema

We can use the definition of distance:

x= vt

We can find the relative velocity:

V_{\text{rel}}=4-2=2\frac{mi}{hr}

And the distance between both is required to be 2 mi so then we can find the time like this:

t=\frac{x}{v_{\text{rel}}}=\frac{2mi}{\frac{2mi}{hr}}=1hr

Then the answer is:

1 hr

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How do you express three less than a number
Lynna [10]

Answer:

x - 3

Step-by-step explanation:

let's call the unknown number x to express its value that's three less than actual number we say x - 3

5 0
3 years ago
Will give brainliest!<br><br> N/2+25 = 375 <br><br> N = ? <br><br> (n/2 is a fraction)
Art [367]

Solve for N by simplifying both sides of the equation, then isolating the variable.

N=700

Hope this helps, if not, comment below please!!!

7 0
3 years ago
Read 2 more answers
An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

5 0
3 years ago
R leaks out of a barrel so that the rate of change in the water level is proportional to the square root of the depth of the wat
Irina-Kira [14]
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
  y'(t) = k√(y(t)) . . . . for some proportionality constant k
  y(0) = 30
  y(1) = 29

We observe that a function of the form
  y(t) = a(t - b)²
will have a derivative that is proportional to y:
  y'(t) = 2a(t -b)

We can find the constants "a" and "b" from the given boundary conditions.
At t=0
  30 = a(0 -b)²
  a = 30/b²
At t=1
  29 = a(1 - b)² . . . . . . . . . substitute for t
  29 = 30(1 - b)²/b² . . . . . substitute for a
  29/30 = (1/b -1)² . . . . . . divide by 30
  1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
  b = 30 +√870 . . . . . . . . simplify

The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
5 0
3 years ago
The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company
Crank

Answer:

$41.685        

Step-by-step explanation:

Given:-

- The material cost per square foot, C = $1.25

- The two boxes have the dimensions:

         Box 1 : ( 9 x 9 x 10 ) in

         Box 2: ( 11 x 7 x 10 ) in

Find:-

so how much does a company save by choosing to make 50 of Box 2 instead of Box 1?

Solution:-

- We will first determine the surface areas of the two boxes Box 1 ( A1 ) & Box 2 (A2).

               A1 : 2*( 9*9) + 4*( 9*10) = 522 in^2 = 43.5 ft^2

               A2 : 2*(11*7) + 2*(11*10) + 2*(7*10) = 514 in^2 = 42.833 ft^2

- Determine the cost for each box:

               Cost of box 1 = A1*C = 43.5*$1.25 = $54.375

               Cost of box 2 = A2*C = 42.833*$1.25 = $53.5413

- The amount saved by the company by choosing to make 50 Box 2 as compared to 50 Box 1:

               Amount saved = 50*(Cost of box 1 - Cost of box 2)

                                         = 50*( 54.375 - 53.5413 )

                                         = $41.685        

6 0
3 years ago
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