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3 years ago

Which statement about|-8 is true?

Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

Your second listed answer choice would be your answer.

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What is the remainder in the synthetic division problem

denis-greek [22]

Answer:

Step-by-step explanation:

1 | 4 6 - 2

4 10

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

4 10 8 ← remainder

3 0

4 years ago

Read 2 more answers

Estimate the sum : 7.2 + 7.3 + 6.9 + 6.8.

kkurt [141]

Answer:

28.2

Step-by-step explanation:

7.2 + 7.3 + 6.9 + 6.8 = 28.2

8 0

3 years ago

Read 2 more answers

Which of the following geometric series converges?

Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

$S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}$

Multiply both sides by r :

$rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n$

Subtract the latter sum from the first, which eliminates all but the first and last terms:

$S_n-rS_n=a-ar^n$

Solve for $S_n$ :

$(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}$

Then as gets arbitrarily large, the term $r^n$ will converge to 0, leaving us with

$S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}$

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0

3 years ago

50 points and brainliest!!!!! fast pls!! (08.02)A pair of equations is shown below. x + y = 5 y = 1/2 x + 2 If the two equations

likoan [24]

The answer would be C (2,3)

5 0

3 years ago

A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

mixer [17]

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

$\frac{m}{s_m}=\frac{t}{s_t}$

where

m = 36 in is the height of the mailbox

$s_m=28 in$ is the shadow of the mailbox

t is the height of the tree

$s_t=98 in$ is the length of the shadow of the tree

Solving for t, we find the height of the tree:

$t=\frac{m\cdot s_t}{s_m}=\frac{(36)(98)}{28}=126 in$

And since

1 feet = 12 inches

The height of the tree in feet is

$t=\frac{126}{12}=10.5 ft$

3 0

4 years ago