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3 years ago

13

Round of 248,682 to the nearest hundred

2 answers:

zaharov [31]3 years ago

8 0

248,700

682 is closer to 700 than to 600

notka56 [123]3 years ago

5 0

248,682 rounded to nearest hundred means just look at the hundreds place which is the 6. Now the number to the right of that is the 8 and that is the number that helps you decide to round up or down. If it is 4 or lower, keep the hundreds place the same. If it is 5 or higher then round up 1. Then any number that follows the hundreds place all change to 0.

248,700

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4 years ago

Which of the following is a solution of x^2 - 7x = -5

Oduvanchick [21]

Answer: B) 7 + or - the square root of 29 all over 2

Which of the following is a solution of x^2 - 7x = -5

A) 7 + or - the square root of 69 all over 2

B) 7 + or - the square root of 29 all over 2

C) -7 + or - the square root of 29 all over 2

D) -7 + or - the square root of 69 all over 2

Step-by-step explanation:

I just did the assignment and the correct answer is B) 7 + or - the square root of 29 all over 2! Hope this helps.

Good Luck!!

6 0

3 years ago

Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

$\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x$

4 0

4 years ago

Which is the correct form

lesya [120]

Answer:

B

Step-by-step explanation:

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3 years ago