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oee [108]
3 years ago
8

Can anyone simplify this??

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

3^{12}

Step-by-step explanation:

(3^{5})^{2}

You multiply the exponents to get:

3^{10}

Then you divide it by 3^{-2}

When dividing exponents, you subtract.

10 - - 2 = 12 so the exponent is 12.

That leaves us with:

3^{12}

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there are 8 students in a small class.. to make a team, the names of 2 of them will be drawn from a hat. how many different team
STatiana [176]

4, because 8 divided by 2 is 4

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3 years ago
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What’s the length of the hypotenuse of a right triangle if the length of one leg is 7 units and the length of the other leg is 1
MrMuchimi

Answer:

The answer is D. 15.65.

Step-by-step explanation:

7^2+14^2

49+196=245

245 (squared) is 15.65

15.65*15.65= 244.9 rounded is 245

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a teacher has three packages of crayons. one package contains 52 crayons, another contains 12 crayons, and the third package con
kotegsom [21]

Answer: 7 crayons

Step-by-step explanation:

To solve we first must find the total number of crayons available by adding up how many crayons are in each container.

         56+12+96 = 160 crayons total

Next we take this number and divide it by 22 (the number of students in the class) to determine how many crayon each student gets

         160 crayons/22 students = 7.272727 crayons per student

However, it's important to note that this number is not a whole number. We must then round down to the nearest whole number because students aren't given fractions of crayons.

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5 0
2 years ago
Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.
Dovator [93]

Answer:

The equation of the sphere in standard form is

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

Step-by-step explanation:

<u>Step 1</u>:-

The equation of the sphere having center and radius is

(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}

Given centered of the sphere is (-6,10,5) and radius r=5

(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}

on simplification,we get

using (a+b)^{2} =a^{2} +2 a b+b^{2}

using (a-b)^{2} =a^{2} -2 a b+b^{2}

simplify , we get

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

8 0
3 years ago
Someone please help me with this question
zubka84 [21]
You can use pythagorean theorem and square 1.5 and 6 and those added together is the hypotenuse (the slope) squared. the answer is approximately 6.2
8 0
3 years ago
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