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Angelina_Jolie [31]

3 years ago

11

Corey was scuba diving while his friend Zoe was climbing a mountain. If Corey was at an elevation of -155 feet, and Zoe was at a

n elevation of 560 feet, what was the difference in elevation (in feet) between Corey and Zoe?

1 answer:

Volgvan3 years ago

5 0

Answer: 715 feet

| -155 - 560 | = 715ft

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

The number of subsets that can be created from the set {1, 2, 3} is:

wolverine [178]

The following subsets you can be able to create are:
{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}
Therefore, there are 7 subsets in all. However, we don't have to list all these possible outcomes because we could waste our time doing this but there is a formula, that is 2^n - 1 where n is a number of elements.

In the given, since there are 3 elements inside the set then we use 2^3 - 1 = 8 - 1 = 7.
See...it's easy.

7 0

4 years ago

Read 2 more answers

Shelly is trying to improve her running time for a track race. She ran the first race in 43.13 seconds. Her time was 43.1 second

saul85 [17]

<h3>The time in fourth race is 43.04 seconds</h3>

<em><u>Solution:</u></em>

Given that,

Shelly is trying to improve her running time for a track race

She ran the first race in 43.13 seconds

Her time was 43.1 seconds in the second race and 43.07 seconds in the third race

<em><u>Therefore, pattern is:</u></em>

43.13, 43.1, 43.07 , ..

<em><u>Find the difference between each terms</u></em>

d = 43.13 - 43.1 = 0.03

d = 43.1 - 43.07 = 0.03

Thus the difference is same

<em><u>If this pattern continues what will shellys time be in the fourth race?</u></em>

Fourth race = third race - 0.03

Fourth race = 43.07 - 0.03 = 43.04

Thus the time in fourth race is 43.04 seconds

8 0

3 years ago

Thea has a key on her calculator marked X. If an integer is displayed, pressing theX key chops off the first digit and moves it

Irina-Kira [14]

Step-by-step explanation:

jjsjdhhdhdhdhhfhdnjjdjdhshdsh

6 0

3 years ago

In the geometric sequence below, what is the common ratio?<br><br> Sequence: 64,16,4,1

Elanso [62]

9514 1404 393

Answer:

1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

16/64 = 4/16 = 1/4

The common ratio is 1/4.

4 0

3 years ago