All categories

3 years ago

What’s the correct answer

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

7 0

Answer: C. 1998, 2000, 2002

faust18 [17]3 years ago

5 0

C. 1998, 2000, 2002.

You might be interested in

: If 10 less than 5 times a number is two more than 3 times the number, then the number is

Feliz [49]

Answer:

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

---------------

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

6 0

2 years ago

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

No step by step answers or links

inysia [295]

Answer:

1. k = 15

2. d = 20

3. n = 3

6 0

3 years ago

Help me, please

abruzzese [7]

Look at the table and find the X value for when both f(x) and g(x) are the same,

They are the same when X is -1 and when x is 0

The two answers would be X = -1 and x = 0

8 0

4 years ago

Which is equivalent to square root 10st x square root 15tu

aivan3 [116]

$\sqrt{10st}\cdot\sqrt{15tu}=\sqrt{10st\cdot15tu}=\sqrt{150st^{2}u}=\sqrt{25\cdot6\cdot st^{2}u} = \\\\= \sqrt{5^{2} \cdot t^{2}\cdot6 \cdot su}=5t\sqrt{6su}$

4 0

3 years ago