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lys-0071 [83]
3 years ago
10

A tank sprung a leak in the water level started drop from 24.8 m at a rate of 2 m/h. Right and solve an equation to determine ho

w long it will take the water level to drop 8.8 m
Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

8 hours.

Step-by-step explanation:

The initial water level is 24.8 meters, and the rate of water level drop is 2 meters/ hour, that means after t hours the water level L will be

L =24.8-2t

Now we want water level to be 8.8 meters, I.e L=8.8m, therefore, we have:

L=8.8=24.8-2t

we solve the equation for t:

8.8=24.8-2t\\8.8+2t=24.8\\2t=24.8-8.8\\2t=16\\\\\boxed{t=8}

it will take 8 hours for the water level to drop to 8.8 meters.

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Rachel had 54 homework problems . She finished 38 of them but still had 2 pages of problems to do. If each page has the same num
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4 years ago
At a factory that produces pistons for cars, Machine 1 produced satisfactory pistons and unsatisfactory pistons today. Machine 2
ryzh [129]
I suspect that there's supposed to be a number before each "satisfactory" and each "unsatisfactory", and I'm pretty sure that none of them is there. The question, exactly as it's written, can't be answered.
7 0
4 years ago
. A discount brokerage selected a random sample of 64 customers and reviewed the value of their accounts. The mean was $32,000 w
koban [17]

Answer:

The  90% confidence interval is  \$ \ 30313.9<  \mu  <  \$ \ 33686.13

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  64

     The sample  mean is  \= x  =  \$ 32, 000

     The  standard deviation is  \sigma=  \$ 8, 200

     

Given that the confidence interval is  90% then the level of significance is mathematically evaluated as

             \alpha  =  100 -  90

             \alpha  =  10 \%

            \alpha = 0.10

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table , the value is  

       Z_{\frac{\alpha }{2} } =  1.645

  Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{ \sigma }{ \sqrt{n} }

  =>   E =  1.645 *  \frac{  8200 }{ \sqrt{64} }

  =>   E =  1686.13

The 90% confidence interval is mathematically represented as

      \= x  -  E  <  \mu <  \= x  +  E

 =>    32000 -  1689.13 <  \mu  <  32000 +  1689.13

=>    \$ \ 30313.9<  \mu  <  \$ \ 33686.13

5 0
4 years ago
Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square
jarptica [38.1K]

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

6 0
3 years ago
22. Which equation has solutions of -2 and 3?
tatyana61 [14]

Answer:

  B. y=x²-x-6

Step-by-step explanation:

Consider the product ...

  0 = (x -a)(x -b) = x² -(a+b)x +ab

This equation has solutions x=a and x=b. You will note that ...

  • the constant is the product of the solutions (ab)
  • the coefficient of x is the opposite of their sum (-(a+b))

For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.

The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.

5 0
3 years ago
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