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Darya [45]
3 years ago
13

What is the value of the expression 8^−2 ?

Mathematics
1 answer:
muminat3 years ago
7 0
_Brainliest if helped!

1 over 64 

8^2 = 64  , 8^-2 = 1/(8^2)  = 1/64 
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Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a
Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

  • <u>Yes, Hank will have the pool drained in time</u>.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

  • Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
  • Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

  • Volume of the pool = Deep * Long * Wide
  • Volume of the pool = 2 m * 10 m * 8 m
  • Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

  • 1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

  • 1 m^3 ⇒ 264.172 gal
  • 160 m^3 ⇒ x

And we calculate:

  • x = \frac{160 m^{3}*264.172 gal }{1m^{3} } (We cancel the unit "m^3)
  • x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

  • Time to drain the pool =\frac{42267.52gal}{130\frac{gal}{min} }(We cancel the unit "gallon")
  • Time to drain the pool = 325.1347692 minutes
  • <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.

7 0
3 years ago
What is the slope of the line y = 8?<br> a.0<br> b.4<br> c.8<br> d.undefined
xxMikexx [17]
It is A , I'm pretty sure
5 0
3 years ago
Read 2 more answers
Mrs. Fowler has 28 students in her class, and 16 of them are boys.
Elan Coil [88]
We subtract 28 - 16 and get the number of girls 
so lets do that 
28 - 16 = 12 
now we know the unsimplified ratio os 12 to 16 
simplifed girls 12 ÷ 4 = 3 
simplified boys 16 ÷ 4 = 4 
since it says (girls to boys) we put girls first then boys
so it would become 3 : 4 
Or the answer is B.) 3 : 4 
5 0
3 years ago
Given right triangle MNL what is the value of cos(M)?
FromTheMoon [43]

Step 1

<u>Find the length of the side MN</u>

we know that

Applying the Pythagorean Theorem

ML^{2} =NL^{2} +MN^{2}

Solve for MN

MN^{2}=ML^{2} -NL^{2}

in this problem

ML=25\ units\\ NL=15\ units

Substitute in the formula above

MN^{2}=25^{2} -15^{2}

MN^{2}=400

MN=20\ units

Step 2

<u>Find the value of cos (M)</u>

we know that

in the right triangle MNL

cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}

adjacent\ side\ angle\ M=MN=20\ units\\ hypotenuse=ML=25\ units

Substitute

cos (M)=\frac{20}{25}

cos (M)=\frac{4}{5}

cos (M)=0.8

therefore

The answer is

The value of cos(M) is equal to 0.8


6 0
3 years ago
It's moving day, and Lydia has packed her books into large and small boxes. The large boxes hold 35 books, and the small ones ho
Virty [35]

The number of large boxes is 4 and the number of small boxes is 14.

<u><em>Explanation</em></u>

Suppose, the number of large boxes is x and the number of small boxes is y

As, the total number of boxes is 18, so the first equation is....

x+y= 18 .......................................(1)

The large boxes hold 35 books, and the small ones hold 20 books and the total number of books is 420. So the second equation will be .....

35x+20y=420................................(2)

Now solving equation (1) for y itself , we will get....

y= 18-x

We will plug this y= 18-x into equation (2). So.....

35x+20(18-x)=420\\ \\ 35x+360-20x=420\\ \\ 15x= 420-360\\ \\ 15x=60\\ \\ x= \frac{60}{15}=4

Now plugging this x=4 into the equation y= 18-x.......

y= 18-4= 14

Thus, the number of large boxes is 4 and the number of small boxes is 14.

3 0
3 years ago
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