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3 years ago

What kind of prime factorization for 32 and 56

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

The prime factorization of 32 is: 2 x 2 x 2 x 2 x 2
The prime factorization of 56 is: 2 x 2 x 2 x 7

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Solve for x in the triangle<br> A 1.7<br> B 2.6<br> C 2.7<br> D 3.0

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given 2 sides and the included angle use the Cosine rule to solve for x

x² = 1.6² + 1.1² - (2 × 1.6 × 1.1 × cos78° )

= 2.56 + 1.21 - ( 3.52 × cos78° )

= 3.77 - 0.7318

= 3.0382

Take the square root of both sides

x = $\sqrt{3.0382}$ = 1.7 → A

3 0

3 years ago

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A club with five members will randomly select the president and vice president. Each possible pair will be assigned an equal por

Tju [1.3M]

Answer:

C. 20

Step-by-step explanation:

The order in which the members are selected is important. The first one selected is the president and the second is the vice president.

So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem:

2 people are going to be chosen from a set of 5. So

$P_{(5,2)} = \frac{5!}{(5-2)!} = 20$

So the correct answer is:

C. 20

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3 years ago

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Need help with this question, much appreciated.

taurus [48]

Answer:

75 degrees

Step-by-step explanation:

1. Find angle J.

The outside angle and angle J are supplementary, which means they add up to 180 degrees.

180 - 130 = 50.

So angle J is 50 degrees.

2. The angles in a triangle add up to 180. Add up angles J and K and subtract that from 180

50 +65 = 105

180- 105 = 75

8 0

3 years ago

Round your answer to the nearest hundredth.

Colt1911 [192]

Answer:

33.69

Step-by-step explanation:

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3 years ago

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The graph of g(x) is a reflection and translation of ∛x see attachment, please help

svetoff [14.1K]

<h2>Hello!</h2>

The answer is: $g(x)=-\sqrt[3]{x-1}$

Let's check the roots and the shown point in the graphic (2,-1)

First,

$0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1$

then,

$g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1$

So, we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

( $g(x)=-\sqrt[3]{x-1}$ )

Second,

Evaluating the function at (2,-1)

$y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1$

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is $g(x)=-\sqrt[3]{x-1}$

Have a nice day!

5 0

3 years ago