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lidiya [134]
3 years ago
6

Consider 8x-4 = 810 Because the are equal , the must also be equal. The solution to the equation is x = .

Mathematics
2 answers:
Andrew [12]3 years ago
6 0

Answer:

Consider 8^x-4=8^10

<h2>Because the <em><u>bases</u></em> are equal, the <u><em>exponents</em></u> must also be equal. </h2>

Step-by-step explanation:

Just did it on edge.

Also pt.2 of the problem is going to be x=14

Nostrana [21]3 years ago
3 0

Answer: x = 101.75

Step-by-step explanation:

Hi, to answer this question we have to solve the equation give, by isolating x:

8x-4 = 810

The first step is to Add 4 on both sides:

8x-4+4 = 810+4

8x = 814

Then we have to divide both sides by 8:

8x/8 = 814/8

Finally, the solution is:

x = 101.75

Feel free to ask for more if needed or if you did not understand something.

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How can you determine if you need to use a combination or permutation to count the number of outcomes? Which will usually have m
Nadya [2.5K]

Answer with Step-by-step explanation:

Permutation : It is an arrangement of r elements out of n elements.

Combination : it is a selection of r element out of n elements .

Suppose we have a set

S={1,2,3}

If two elements are taken at a time then

Using permutation formula

Total number of outcomes=3P_2

Total number of outcomes=\frac{3!}{(3-2)!}

Total number of outcomes=3!=3\times 2\times1=6

Using combination formula

\binom{n}{r}=\frac{n!}{r!(n-r)!}

Total number of outcomes=\binom{3}{2}=\frac{3!}{2!1!}

Total number of outcomes=\frac{3\times2!}{2!}

Hence, total number of outcomes=3

Total number of outcomes determined by permutation have more outcomes.

Because permutation is an arrangement of elements  therefore, it consider order of arrangement of element   but combination is a selection of elements it does no consider order of elements

Arrangements of two elements out of 3 elements

{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}

By using combination if two elements taken at a time then combination

{1,2},{2,3},{1,3}

4 0
3 years ago
Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin.
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There is only one angle measure , ∡JHF , which is 34 degrees . I have to find the measure of angle ∡FJH .
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the assumption here being that both lines JH and FH are tangent lines to the circle, if that's the case the external angle of 34° is the angle made by the equal tangents, meaning the triangle is an isosceles with twin sides.

In an isosceles triangle the twin sides make also twin angles, so the angles at J and F are twins, and they'd be 180° - 34° = 146° total, since they're twins, each one takes half, or 73°.

5 0
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9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

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