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denis23 [38]
2 years ago
14

Rewrite the expression in the form 5^n (5^-8) (5^-10)

Mathematics
2 answers:
Lorico [155]2 years ago
8 0

Answer:

5^-18

Step-by-step explanation:

Law of exponents bases the same add the exponents keep the base.

5^(-8+-10)=5^-18

oee [108]2 years ago
4 0

Answer:

Step-by-step explanation:

This problem is all about bases and exponents.  Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:

That's the simplification as long as you are "allowed" to leave the exponent as a negative number.

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
2 years ago
Add (a+b-3)+(b+2a-1)+(4-6b+2a)
igor_vitrenko [27]
5a-4b is the answer
7 0
3 years ago
Read 2 more answers
-5 divided by 4 =.-12
Pachacha [2.7K]

Answer:

-5 ÷ 4 = -1.25 or 1 \frac{1}{4}

The answer is -1.25

I hope that this helps you! ^‿^

3 0
3 years ago
Read 2 more answers
Does any body know the answer??
Mashcka [7]
Angle V is 40. Angle V and Y are congruent. The angles of a triangle are a sum of 180. Angle V and Angle Y add up to 80. Therefore angle VWZ is 100
8 0
3 years ago
It took 7.2 minutes to upload 8 digital photographs from your computer to a website. At this rate, how long will it take to uplo
kenny6666 [7]
If it take  some x  minutes to upload  some y  digital photographs, it means it has an average of: x/y minutes to upload a single digital photograph. Then, to upload z photographs, you just multiply   x/y   by z.

Spoilers for answer:
If it take 7.2 minutes to upload 8 digital photographs, it means it has an average of: 7.2/8 = 0.9 minutes to upload a single digital photograph. This means that, by this rate, it will take 20 * 0.9 = 18 minutes to upload 20 photographs to the website.
5 0
3 years ago
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