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3 years ago

explain the pattern used to place the decimal in the answer when you multiply or divide a decimal by a power of 10

1 answer:

7 0

All you are really doing is if you divide you are moving the decimal to the left and when you times you are moving the decimal to the right

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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation.

Semenov [28]

Answer:

There are infinite solutions because there is always another number between any two numbers.

Step-by-step explanation:

Pick any number (including decimal) add an extra decimal after the smallest one and then you have a number between them. E.g.

1.234 and 2.987

1.2341, 1.2342, 1.2343, ... are all between them

7 0

3 years ago

Read 2 more answers

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Use the dropdown menus to write an equation with infinitely many solutions.

nika2105 [10]

Answer:

4(2x + 3) - x = 7x + 12

Explanation:

That's what T4L/Edge said

8 0

3 years ago

Given m∥n .

frosja888 [35]

Answer: heres the answer for future people lel

8 0

3 years ago

Lee wanted to visit his grandmother who lives 1,400 air miles

77julia77 [94]

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

4 0

2 years ago