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3 years ago

Classify the following polynomial by degree and the number of terms.

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

Not too sure but I think it’s A. Linear Trinomial

Hope it helps!

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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

Eric drives 62 mph for 5.25 hours. How far does he drive?

11111nata11111 [884]

Answer:

325.5

Step-by-step explanation:

multiply 62 and 5.25 to get 325.5

3 0

3 years ago

Read 2 more answers

The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose?

3241004551 [841]

Answer:

Each flower cost an equivalent of $5 per flower. To get this answer you have to divide 90 by 18 to get the average cost of the flowers and stuff.

4 0

2 years ago

Read 2 more answers

A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? r

MAXImum [283]

The force needed to keep the cart at rest is 149.022 pounds

<h3>Force and Motion</h3>

Given Data

Weight of cart = 200 pounds

Angle = 40 degree

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

Learn more about force here:

brainly.com/question/12970081

7 0

2 years ago

Explain how I determined the answer to number three on the assignments a day and give the answer as well. ( give the steps you d

GaryK [48]

I multiplied 3 3/4 by 125.3 I converted 3 3/4 to a decimal to make it easier so I did
3.75x125.3 and it equaled a
A)469.875

3 0

3 years ago