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2 years ago

Simplify the expression. 7x–8 • 6x3 a. 42 /x^5. b. 1 /42x^5 c. 42x^11 d. 13x^–5

Mathematics

2 answers:

lara31 [8.8K]2 years ago

8 0

Answer:

42/x^5

Step-by-step explanation:

Zina [86]2 years ago

4 0

$7x^{-8}\cdot6x^3=(7\cdot6)x^{-8+3}=\boxed{42x^{-5}=\dfrac{42}{x^5}}\to\boxed{a.}$

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Alexus [3.1K]

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2 years ago

Factor<br> 3M^2+11MN+6N^2

antoniya [11.8K]

3M^2 + 11MN + 6N^2 = 3M^2 + 2MN + 9MN + 6N^2

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2 years ago

Which expression represents the area of the shaded region?

irina1246 [14]

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

$A_1=\pi r^2$

Where, r is the radius of the circle.

Area of a square is:

$Area=a^2$

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

$a=2a$

So, the area of the square is:

$A_2=(2r)^2$

$A_2=4r^2$

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

$A=A_2-A_1$

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3 years ago

What is the 50th term of the sequence that begins -4, 2, 8, 14....?

vagabundo [1.1K]

Answer:

$a_{50}=290$

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term $a_1=-4$ . and common difference "<em>d</em>" = 6.

Recall now the formula for the nth term ( $a_n$ ) of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

Then, using our values in the formula, we get:

$a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290$

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2 years ago

Can someone help me with this question

Nonamiya [84]

Answer:

A 50

B 10

C 12/5

D 5

E 21

F 100

4 0

3 years ago