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3 years ago

Write 40 as a product of prime factors.

Mathematics

2 answers:

neonofarm [45]3 years ago

3 0

$40 | \div 2 \\
20 | \div 2 \\
10 | \div 2 \\
5 \\ \\
\boxed{40=2 \times 2 \times 2 \times 5}$

dlinn [17]3 years ago

3 0

40
4* 10
2*2*5*2

therefore prime factors are : 2x2x2x5

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Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue.

Umnica [9.8K]

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3 years ago

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

kifflom [539]

Good night,

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span> $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span> $\sqrt{12}$

But we will check the answer:

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As you can see we can't express that number as a fraction, so that is te correct answer.

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3 years ago

Marie made the box plot below to display a set of data. Which set of data could the box plot represent?

Assoli18 [71]

Answer:

see below

Step-by-step explanation:

First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.

Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.

The data set of the 3rd choice matches the box plot extremes, median, and quartile values.

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3 years ago

Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x

alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0

3 years ago

4162 to 3 significant figures

butalik [34]

Hey there Altagraciasouth :)

Significant Figure Question:

**Question 4162 to 3 SF

Explanation:

We first have to look for the third number in 4162. That would be 62!

So we round 62 to the nearest ten. Which gives us 60!

**Answer: 4160

Hope this helped :)

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3 years ago