Lift pencil (10,7) graph

Twenty boxes of paper weights 460 pounds. What is the ratio of boxes to pounds?

Marta_Voda [28]

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23

6 0

2 years ago

For geometry:(<br><br> i’ll give a brainist!!!

kvasek [131]

<h3>Answer: Angle Q = 133 degrees</h3>

========================================================

Work Shown:

Recall that for any triangle, the three angles always add to 180

P+Q+R = 180

(x+13) + (10x+13) + (2x-2) = 180

(x+10x+2x) + (13+13-2) = 180

13x+24 = 180

13x = 180-24

13x = 156

x = 156/13

x = 12

Now that we know x, we can find the angle measures

angle P = x+13 = 12+13 = 25 degrees
angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees

As a way to check if we have the right answer or not, we see that,

P+Q+R = 25+133+22 = 180

So the answer is confirmed.

4 0

2 years ago

PLEASE look at photo and help!

VMariaS [17]

It would be a a 6 by 5 inch rectangle, since the height is 6in and the width is 5in. Those are what would make up the cross section.

6 0

3 years ago

Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

3 years ago

Read 2 more answers

SOMEONE HELP :'(((

jeka57 [31]

Answer:

The natural no between 2 to 15 is 2,3,4,5,6,7,8,9,10,11 and 12. prime numbers among these are 2,3,5,7 and 11. therefore,out of 11 number, 5 are prime number.what fraction of the natural numbers between 2 and 15 are prime numbersthe length of abhishek's notebook is 17cm and 8 mm. What will be its length in cm

3 0

2 years ago