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3 years ago

Which expression is equivalent to

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Answer:

1/x^24

Step-by-step explanation:

(x^-6/x^2)^3 multiply the powers inside the parenthesis by power outside of the parenthesis to get rid of parenthesis

x^-6×3/x^2×3 = x^-18/x^6

subtract the denominator's power from nominator's power

x^-18-6 = x^-24 ➡ 1/x^24

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Find the 18th term of the arithmetic sequence whose common difference is d=5 and whose first term is a, = 4.

dedylja [7]

Answer: 89

the 18th term is 4 + (18 - 1).5 = 4 + 17.5 = 89

Step-by-step explanation:

7 0

3 years ago

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#9 and #10<br> Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0

3 years ago

The graph shows a distribution of data. What is the standard deviation of the data? A)0.5 B)1.5 C)2.0 D)2.5

ruslelena [56]

Answer:

A)0.5

Step-by-step explanation:

We can see in the graph , that it is bell-shaped along x =2. A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, the give graph is symmetric around x=2, so the mean of the data is 2.

The point immediate left to the mean represents x-σ

so,

2 - σ = 1.5

So,

σ = 0.5

The sigma represents standard deviation.

Hence, Option A is correct ..

7 0

3 years ago

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Can someone help me quick please

Katena32 [7]

Answer: 11 619/1000

Step-by-step explanation:

6 0

3 years ago

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3) Practice: Summarizing

DaniilM [7]

Answer:

the 2 arrow

-sorry I don't really know what I meant by notation

Step-by-step explanation:

--------->->---------- (line a)

--------->->---------- (line b)

line is parallel to line b which is shown with the arrows this means that they cannot intercept no matter how long the line goes. it also means they have the same slope.

4 0

3 years ago