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2 years ago

Which of the following shows the prime factorization of 36 using exponential notation?

Mathematics

1 answer:

Daniel [21]2 years ago

4 0

Answer:

The prime factorization of 36 using exponential notation is $2^2 \times 3^2$

Step-by-step explanation:

Given: number 36

We have to show the prime factorization of 36 using exponential notation.

Prime factorization is representing a number in form of products of its primes.

Consider the given number 36

36 can be written as 2 × 2 × 3 × 3

In exponential notation it can be written as $2^2 \times 3^2$

Thus, the prime factorization of 36 using exponential notation is $2^2 \times 3^2$

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AURORKA [14]

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2 years ago

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kakasveta [241]

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2 years ago

A mom walks into her child's room and finds clothes all over the floor. 20% of the

MissTica

Answer:

1 clean cloth

Step-by-step explanation:

Assuming that the problem is asking the number of clean clothes she picks up when she picked 5 articles.

here we are given that , there are 20% clothes in the room. Hence out of 5 clothes she picks up, the total number of clean clothes will be 20% of 5

20% of 5 will be 0.20 x 5 = 1

Hence , there will be only clothe that might be clean among the clothes she picks .

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2 years ago

Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. 8 5 (b) find the number b s

IceJOKER [234]

a. We're looking for $a$ such that

$\displaystyle\int_1^a\frac{\mathrm dx}{x^2}=\int_a^4\frac{\mathrm dx}{x^2}$

$-\dfrac1x\bigg|_{x=1}^{x=a}=-\dfrac1x\bigg|_{x=a}^{x=4}$

$1-\dfrac1a=\dfrac1a-\dfrac14$

$\dfrac54=\dfrac2a\implies\boxed{a=\dfrac85}$

b. Integrating with respect to $y$ will make things easier.

$y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}$

(where we take the positive square root because we know $x>0$ )

Now we want to find $b$ such that

$\displaystyle\int_0^b\frac{\mathrm dy}{\sqrt y}=\int_b^1\frac{\mathrm dy}{\sqrt y}$

$2\sqrt y\bigg|_{y=0}^{y=b}=2\sqrt y\bigg|_{y=b}^{b=1}$

$2\sqrt b=2-2\sqrt b$

$4\sqrt b=2\implies\boxed{b=\dfrac14}$

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2 years ago

Which statements correctly describe the cosine and sine functions? Check all that apply. The cosine function increases on (90°,

Jet001 [13]

Answer:

The three correct answers are B "The sine function increases on (0°, 90°) and (270°, 360°)." , E "Both the cosine and sine functions have a maximum value of 1.", and F "Both the cosine and sine functions are periodic."

Step-by-step explanation:

Hope this helps <3

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2 years ago