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3 years ago

Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8

Mathematics

2 answers:

Hatshy [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$(10^{-2})^{4}$

Apply the law of exponents.

$10^{-2 \times 4}$

$=10^{-8}$

ololo11 [35]3 years ago

5 0

Answer:

$= {10}^{ - 8} \\$

Answer A is correct.

Step-by-step explanation:

${( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8}$

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5 + 0.55x = 10 + 0.75x

mylen [45]

Step-by-step explanation:

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4 0

3 years ago

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A number divided by three less two is at most two

Marina CMI [18]

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : $$\frac{x}{3}$

A number divided by three less two : $$\frac{x}{3}-2$

A number divided by three less two is at most two : $$\frac{x}{3}-2\leq 2$

Now, simplify the inequality,

$$\Rightarrow\frac{x}{3}-2\leq 2$

Add 2 on both sides of the inequality,

$$\Rightarrow\frac{x}{3}-2+2\leq 2+2$

$$\Rightarrow\frac{x}{3}\leq 4$

Multiply by 3 on both sides of the equation,

$$\Rightarrow\frac{x}{3}\times3\leq 4\times3$

$$\Rightarrow x\leq 12$

Hence x ≤ 12.

5 0

3 years ago

Write it as a product: -<img src="https://tex.z-dn.net/?f=ax%5E%7B6%7D" id="TexFormula1" title="ax^{6}" alt="ax^{6}" align="absm

IrinaK [193]

Answer:

$\frac{-abx^{6}+1 }{b}$

Step-by-step explanation:

4 0

3 years ago

A basketball court is a rectangle. If a court measures 60 feet by 40 feet, what is the length of the diagonal from one corner of

alexdok [17]

Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)

60²+40²=c²
3600+1600=c²
5200=c²
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3 0

3 years ago

A triangle has sides measuring 7 centimeters and 13 centimeters that form an angle measuring 44°. Which of these is CLOSEST to t

Oliga [24]

Answer:

9.3 centimeters

Step-by-step explanation:

If the length of the third side of the triangle is c, then according to the Law of Cosines, c2 = 72 + 132 – 2(7)(13)(cos 44°). The value of c2 can be simplified to approximately 49 + 169 – 130.9198, or 87.0802, using a calculator. By taking the square root of 87.0802, the length of the third side of the triangle comes out to be approximately 9.3 centimeters.

8 0

3 years ago