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2 years ago

14

The value of y varies directly as the square of x and y=27 when x=9. Find the equation that represents this relationship. Report

the proportionality constant as a reduced fraction when necessary.

1 answer:

Alik [6]2 years ago

5 0

Answer:

im positive the answer is Y=1/3x2

Step-by-step explanation:

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Find the sum of the finite geometric series: 5 + 10 + 20 + ... +81,920.

Anestetic [448]

Answer:

No solution

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, <em>a n +a1 ⋅ r n -1</em><em> </em>

Geometric Sequence:<em> </em><em>r = 2</em>

The series given has a value of<em> </em><em>r </em>such that <em>r > 1 or r < − 1.</em> Therefore, the infinite sum cannot be calculated.<em> </em>

<em> </em>

<em> </em>

8 0

2 years ago

Which lists the steps in the correct order to find the median of this data set?

Fofino [41]

The median of the data set can be found as follows:

1. Put the numbers in order (from least to the greatest): 16, 18, 23, 24, 29, 30

2. Cross off high/low pairs: 16, 18, (23, 24,) 29, 30

3. Divide the sum by 2: (23 + 24)/2 = 23.5

<h3>What is the Median?</h3>

The median of a data set is the data value at the middle of the data set when it is ordered.

Steps to find the median of the data set, 24, 16, 23, 30, 18, 29:

1. Put the numbers in order (from least to the greatest)

16, 18, 23, 24, 29, 30

2. Cross off high/low pairs: 16, 18, (23, 24,) 29, 30

3. Divide the sum by 2: (23 + 24)/2 = 23.5

4

The median is therefore, 23.5.

Learn more about the median on:

brainly.com/question/26177250

3 0

2 years ago

Write four different equations that have –3 as the solution.

vodomira [7]

1 + -4

2 + -5

3 + -6

4 + -7

8 0

3 years ago

Read 2 more answers

Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

$\frac{5}{5 + 2 + x} = \frac{5}{7 + x}$

Both fractions are equal, so:

$\frac{5}{7 + x} = \frac{1}{2}$

Applying cross multiplication:

$7 + x = 10$

$x = 10 - 7$

$x = 3$

The value of x is 3.

5 0

2 years ago

Question is on the picture !

Nataly [62]

Answer: 122.5

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

Explanation:

First thing to do is to find the perimeter of figure B. Add up all the sides and we get: 5+9+9+12 = 14+21 = 35.

The scale factor 7:2 means that if the perimeter of figure A was 7, then the perimeter of figure B would be 2. Or it could be 14 for A and 4 for B. And so on. The idea is that the two perimeters scale up or down together. This allows us to set up the proportion below in which we can solve for x

(perimeter of A)/(perimeter of B) = 7/2

x/35 = 7/2

x*2 = 35*7 .... cross multiply

2x = 245

2x/2 = 245/2 .... divide both sides by 2

x = 122.5

The perimeter of figure A is 122.5

4 0

2 years ago