3 years ago

Write four numbers that round to 700,000 when rounded to the nearest hundred thousand

Mathematics

1 answer:

slega [8]3 years ago

6 0

699,995
699,996
699,997
699,998

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A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?

vovikov84 [41]

Answer:

$SA=384\ in^2$

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is $r=4\ in$

The diameter of the sphere is two times the radius

$D=2r=2(4)=8\ in$

The length side of the cube is

$b=8\ in$

Remember that

The surface area of a cube is equal to the area of its six faces

$SA=6b^2$

substitute the value of b

$SA=6(8)^2$

$SA=384\ in^2$

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2 years ago

If 5x+6=10, what is the value of 10x+3? A) 4 B) 9 C) 11 D) 20

den301095 [7]

I think that the answer is C.11

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2 years ago

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Originally 21 acts were tentatively to perform at the arena ; only 10 have been booked. What is the shortfall if the other acts

Yakvenalex [24]

Find the number of acts not booked = 21 - 10 = 11

multiply by the profit for each act 11 * 175000 = $1,925,000 shortfall

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2 years ago

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Least common denominator?

Over [174]

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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2 years ago

Write the rule for the pattern 100,81,64,49,36

sergiy2304 [10]

I’m not sure what the rule would be in this context, but those are just the squares of decreasing numbers starting at 10. It’s 10^2, then 9^2, then 8^2, and so on.

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