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3 years ago

Simplify

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

Answer:

11*6

Step-by-step explanation:

you can add the powers when the base number is the same

so 6-8+8 = 6

11*6

Arturiano [62]3 years ago

4 0

Answer:

1.771.561

Step-by-step explanation:

11⁶ × $\sf 11^{-8}$ × 11⁸

= 11⁶ × $\sf \frac{1}{11^8}$ × 11⁸

= 11⁶ × $\sf \frac{1}{214.358.881}$ × 214.358.881

= 1.771.561 × $\sf \frac{1}{214.358.881}$ × 214.358.881

= $\sf \frac{1}{121}$ × 214.358.881

= 1.771.561

Conclusion:

Simple form of 11⁶ × $\sf 11^{-8}$ × 11⁸ is 1.771.561

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Solve the following equation. x/3 - 4 = 10

erma4kov [3.2K]

Answer: x=42

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Solve for x.

- Add 10 and 4.

- Multiply the sum of 10 and 4 by 3. You must move it from the left member to the right member. Then, if 3 is dividing x, this will multiply the sum of 10 and 4. So, you have:

$x/3=10+4\\x/3=14\\x=42$

Therefore, you obtain that the value of x is 42

4 0

3 years ago

Read 2 more answers

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3 years ago

What is 5x+ x - 7-8 + 365 solve it plz

aliya0001 [1]

Answer:

x = -58.3

Step-by-step explanation:

6x - 15 + 365 - simplifly terms

6x + 350 = set to equal sides

6x = -350

x = -58.3

4 0

3 years ago

A. Show

nydimaria [60]

a. Recall the double angle identities:

$\sin^2x=\dfrac{1-\cos2x}2$

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

Then

$\sin^2x\cos^2x=\dfrac{(1-\cos2x)(1+\cos2x)}4=\dfrac{1-\cos^22x}4$

Applying the identity again, we have

$\sin^2x\cos^2x=\dfrac{1-\frac{1+\cos4x}2}4=\dfrac{2-(1+\cos4x)}8=\dfrac{1-\cos4x}8$

as required.

b. Using the result from part (a),

$\sin^2x\cos^2x=\dfrac{1-\cos4x}8=\dfrac{2-\sqrt2}{16}$

$\implies\cos4x=\dfrac1{\sqrt2}$

$\implies4x=\dfrac\pi4+2n\pi\text{ or }4x=-\dfrac\pi4+2n\pi$

(where $n$ is any integer)

$\implies\boxed{x=\pm\dfrac\pi{16}+\dfrac{n\pi}2}$

8 0

4 years ago

What is the volume of this figure?

Oksi-84 [34.3K]

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3

Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

64+24=88

3 0

3 years ago