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4 years ago

5

47/7 as a mixed number in siplest form

2 answers:

puteri [66]4 years ago

7 0

For this fraction, you would have to see how many times 7 goes into 47. So, 6 times as 7 times 6 is 42. Subtract 42 from 47, and this would be your remainder:

6 $\frac{5}{7}$

Lapatulllka [165]4 years ago

5 0

47/7

7 into 47 is 6 times.

6*7 is 42, that means 5 is left from the 47.

47/7 = 6 and 5/7

So as a mixed fraction = 6 5/7

Hope this explains it.

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Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

7 0

3 years ago

What is the answer for 3a

n200080 [17]

24/40 = T/30
40t= 24•(30)
T= 18
Hope this helps. :)

8 0

3 years ago

Which expression is equivalent to 20c - 8d?

bagirrra123 [75]

C.

if you multiply the 4 on each numbers inside of the parentheses then you’ll get ‘20c-8d’

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3 years ago

What is the length of the altitude of the equilateral triangle below?

Mazyrski [523]

ANSWER

The length of the altitude is $3\sqrt{3}$ units

<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is $a$

Method 1: We can use Pythagoras theorem to find $a$

$6^2=a^2+3^2$

$6^2-3^2=a^2$

$36-9=a^2$

$27=a^2$

We take the square root of both sides,

$\sqrt{27}=a$

$\sqrt{9\times3}=a$

$\sqrt{9} \times \sqrt{3}=a$

$3\sqrt{3}=a$

Method 2 Using Trigonometry

$sin(60\degree)=\frac{a}{6}$

$6sin(60\degree)=a$

$a=6\times \frac{\sqrt{3}} {2}$

$a=3\sqrt{3}$

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3 years ago

Read 2 more answers

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IceJOKER [234]

You would do 8x+(15•8$

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3 years ago