Find the absolute maximum and minimum for the given graph. Give your answer as an ordered pair. 5 3 2. 1 2 3 4 5 Absolute maximum: Absolute minimum:

In equation [tex]r^{2}[/tex] = 0.62  we get the variation of r is [tex]r = \frac{\sqrt{62} }{10 } }[/tex]      or     [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]

According to the question, given that

Variation [tex]r^{2}[/tex] = 0.62

Split into two equation

[tex]r = \sqrt{0.62}[/tex]          or,   [tex]r = -\sqrt{0.62}[/tex]

First equation

[tex]r = \sqrt{0.62}[/tex]

convert decimal to fraction

[tex]r =\sqrt{\frac{62}{100} }[/tex]

[tex]r =\sqrt{\frac{31}{50} }[/tex]

rewrite the expression using

[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]

[tex]r = \frac{\sqrt{31} }{\sqrt{50} }[/tex]

[tex]r = \frac{\sqrt{31} }{\sqrt{5^{2} * 2} }[/tex]

[tex]r = \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]

[tex]r = \frac{\sqrt{31} }{5 \sqrt{2} } }[/tex]

Rationalize the denominator

[tex]r = \frac{\sqrt{31}* \sqrt{2} }{5 \sqrt{2} * \sqrt{2} } }[/tex]

[tex]r = \frac{\sqrt{31}* \sqrt{2} }{5 *2} } }[/tex]

[tex]r = \frac{\sqrt{31}* \sqrt{2} }{10 } }[/tex]

[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]

[tex]r = \frac{\sqrt{31 *2} }{10 } }[/tex]

[tex]r = \frac{\sqrt{62} }{10 } }[/tex]

Second equation

 [tex]r = -\sqrt{0.62}[/tex]

[tex]r =-\sqrt{\frac{31}{50} }[/tex]

[tex]r =- \frac{\sqrt{31} }{\sqrt{50} }[/tex]

[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * 2} }[/tex]

[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]

rewrite the expression using

[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]

[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]

[tex]r = -\frac{\sqrt{31} }{5 \sqrt{2} } }[/tex]

Rationalize the denominator

[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{5 \sqrt{2} * \sqrt{2} } }[/tex]

[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{5 *2} } }[/tex]

[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{10 } }[/tex]

[tex]r = -\frac{\sqrt{31 *2} }{10 } }[/tex]

[tex]r =- \frac{\sqrt{62} }{10 } }[/tex]

[tex]r = \frac{\sqrt{62} }{10 } }[/tex]      or     [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]

Therefore, equation [tex]r^{2}[/tex] = 0.62  we get the sample variation of r is [tex]r = \frac{\sqrt{62} }{10 } }[/tex]      or     [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]

A relationship between a set of values for one variable and a set of values for other variables is known as a variation.

Direct variation

The function y = mx (commonly written y = k x), which is referred to as a direct variation, can be obtained from the equation y = mx + b if m is a nonzero constant and b = 0.

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Answer:

y=-5x +14

Explanation:

Given a point on the line and the slope, we can obtain the equation of the line using the formula:

In this case:

Substitution in the formula above gives:

Note that the slope-intercept form of a line is given as: y=mx+b.

Where:

• m=slope

• b=y-intercept

Since AB and BC are both tangent to the circle P, their length is the same.

So we have the following equation:

Solving this equation for x, we have:

So the value of x is 12, therefore the correct option is the first one.

Answer: the last one

Step-by-step explanation:

the easiest way to do this is the vertical line test. Graph the relation separately and then roll a pencil over each one. If the pencil touches two points at the same time, then it is not a function. Or you can look at the x inputs and if any are the same, it’s not a function.

Answer: I don’t know how to help you but

Step-by-step explanation:

I’ll use (3,4) on the x you put 3 and on the y you put 4

Answer:

2.5 ft long= one step

1 ft long=1/2.5

50 ft= 50 x 1/2.5=20 steps

20 steps to travel 50 steps

Step-by-step explanation:

The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first. The eighth book has 1280 many pages.

Given that,

On his desk, Brandon has a stack of books.

The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first.

For eight novels, this pattern is maintained.

We have to find the eighth book has how many pages.

We have to multiply 2

40 times 2=80

80 times 2 =160

160 times 2=320

320 times 2=640

640 times 2=1280

Therefore, the eighth book has 1280 many pages.

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Part A

We need to find the sale price of the tablet, i.e., after a discount of 30% was applied.

When we apply a discount rate d to a price P, the sale price S is given by:

In this problem, the original price of the tablet, in dollars, is:

And the discount rate is:

Then, the sale price is given by:

Therefore, the sale price of the tablet is $129.50.

Part B

Now, we can use the same formula to find the sale price of the camcorder, using:

We obtain:

Therefore, the sale price of the camcorder is $98.

Answer:

To answer these questions input the x = __ value into the function.

C(0) = 0 + 75

C(0) = 75

C(100) = 100(0.25) + 75

C(100) = 100

C(200) = 200(0.25) + 75

C(200) = 125

C(300) = 300(0.25) +75

C(300) = 150

Hope that helps

Answer:

perimeter: 88

area: 246

Step-by-step explanation:

6 x 32 = 192

32 - 20 = 12         12 x 9 = 108       108 / 2 = 54

54 + 192 = 246

Answer:

6x² + 8x - 15

Step-by-step explanation:

2x² + 5x - 7 - (- 4x² - 3x + 8) ← distribute parenthesis by - 1

= 2x² + 5x - 7 + 4x² + 3x - 8 ← collect like terms

= 6x² + 8x - 15

Answer:

[tex]6x^2+8x-15[/tex]

Step-by-step explanation:

Given expression:

[tex](2x^2+5x-7)-(-4x^2-3x+8)[/tex]

[tex]\textsf{Apply\:the\:distributive\:law}\quad \:-\left(-a-b\right)=a+b:[/tex]

[tex]\implies 2x^2+5x-7+4x^2+3x-8[/tex]

Collect like terms:

[tex]\implies 2x^2+4x^2+5x+3x-7-8[/tex]

Combine like terms:

[tex]\implies 6x^2+8x-15[/tex]

Answer:   get smarter

Step-by-step explanation: hehe

Answer: 792 supporters

Step-by-step explanation:

Change 28% to a decimal

28%=0.28

Find the product of 0.28 and 1100

0.28x1100=308

Subtract 1100 and 308 to find the supporters of the home team

1100-308=792

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

For example, is

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

answer c

Step-by-step explanation twenty is 5 times four and a hundred is five times twenty and so forth

                                            [it just a guess}

Answer:

A.

F.

Explanation:

14/5 represents situation where we have 14 objects and we need to divide it in 5 equal parts. Therefore, these situations are

A. Renee has 14 feet of ribbon that she will cut into 5 pieces of equal lenght

F. Arianna pours 5 equal servings of lemonade from a bottle containing 14 ounces

For the first case, 14/5 will be the length of the pieces and for the second case 14.5 represents the amount of ounces in each serving.

Answer:

Step-by-step explanation:

The coordinates of point Y are (9 , 12)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (a , b) divides a line whose end points are (c , d) and (e , f) at

ratio p : q from the point (c , d), then

 and

∵ Segment XY has one endpoint at X (0 , 0)

∵ Point (3 , 4) is 1/3 of the way from X to Y

∴ Point (3 , 4) divides the segment XY,  where the distance from X

 to the point (3 , 4) is 1 part and from point (3 , 4) to Y is 2 parts

∴ Point (3 , 4) divides segment XY to the ratio 1 : 2 from X

- Let point (a , b) is (3 , 4)

- Let point (c , d) is X (0 , 0)

- Let point (e , f) is Y

- Let p : q = 1 : 2

* Lets find e and f

∵

∴

∴

- Multiply both sides by 3

∴ 9 = e

∴ The x-coordinate of point Y is 9

∵

∴

∴

- Multiply both sides by 3

∴ 12 = f

∴ The y-coordinate of point Y is 12

* The coordinates of point Y are (9 , 12)

Answer:

x = 65°

Step-by-step explanation:

Because of the very huge sample size, we do not advise attempting to acquire the $100 margin of error.

The annual starting salaries for college graduates with degrees are between $30,000 and $45,000.

The confidence interval is 95%.

The planning value of the population standard deviation is expressed as:

= ( 45000 - 30000 ) / 4

= 15000/4

= 3750

And, 95% confidence interval a is 0.05.

Using the standard normal table,

Z(0.025) = 1.96

(a) For error E = $500,

n = ( Z × S/E )²

n = ( 1.96 × 3750/500)²

n = 216.09 = 217

(b) For error E = $200,

n = ( Z × S/E )²

n = ( 1.96 × 3750/200)²

n = 1351

(c) For error E = $100

n = ( Z × S/E )²

n = ( 1.96 × 3750/100)²

n = 5403

Therefore, Due to the sample size being too huge, we do not advise attempting to achieve the $100 margin of error.

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Supplementary angles are those angles that add up to 180 degrees.

In this case, analyzing the figure shown in the exercise, you can identify that the angle ABD and the angle CBD are Supplementary angles.

Based on the explained above, you can set up the following equation:

Knowing that:

You can substitute them into the first equation:

Finally, solve for "x":

The answer is:

Giving that her probability of winning is 5:7, Her Probability of not winning is; 0.286

According to binomial probability distribution, the probability is usually given by the formula;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

where;

p is probability of success

n = number of trials, or the sample size

x = the number of "successes" in the probability

Now, we are told that the probability of winning in the next card is 5:7. Writing this in fraction form is 5/7.

Now, we know that percentage of winning + percentage of losing equals to 1. Thus;

Percentage of not winning + 5/7 = 1

Percentage of not winning = 1 - 5/7

Percentage of not winning = 2/7

In percentage form, this gives us;

2/7 * 100% = 28.57% = 0.286

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P= $1300

Explanation

when you have the rate, the time and the initial value , you can find the principial by using the formula

so

Step 1

a)let

now, replace in the formula

therefore, the answer is

P= $1300

I hope this helps you

A TRUE statement for Susan is: "Venus is less than twice as far from the Sun as Mercury is."

Given:

The distance of each planet from the Sun,

Mercury - 51,000,000

Venus - 10000000

Earth - 150000000

Susan said, "Venus is more than twice as far from the sun as Mercury is."

51,000,000 × 2 = 102,000,000

When we calculate twice the distance of Mercury from the Sun it is much greater than the actual distance of Venus from the Sun.

(102,000,000 > 10000000)

Hence, the statement is incorrect and so is Susan.

The correct statement should be:

"Venus is less than twice as far from the sun as Mercury is."

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Given

At a park, the jogging trail is a circle with a radius of 200 meters.

To find: How far is it around the trail? (Use 3.14 for π).

Explanation:

It is given that,

The radius of the circular trial is 200meters.

Then, the length path around the trial is,

Hence, the length of the path around the trial is 1256m.

18 (option C)

Given:

Frequency counts: 15, 17, 18, 16

To find:

the frequency count that would be represented by the tallest bar on a histogram

The tallest bar on a histogram is the highest frequency in a given set of dataset

We have been given 4 frequencies: 15, 17, 18, and 16

The highest value in the frequency is 18

Hence, the frequency count that will have the tallest bar on a histogram is 18 (option C)

Answer:

62727262 is the awnser your welcome thank me later

The S₄ is  3/125 .

A sequence could be a list of numbers that have been arranged sequentially whereas series can be exceedingly generalized as the sum of all the terms in a sequence be that as it may, there must be a clear relationship between all the terms of the sequence. An infinite arrangement is given by all the terms of an unbounded grouping, included together and the sum of the series is just adding the   n  number of terms

Since we are provided with an infinite series, where n starts from 0 till infinite.So we need to find  the sum  for  4 terms,  just replacing the n  in the given formula to 4

S⁴=3(1/5) ^(n-1)

 =  3(1/5) ^(4-1)

 =  3(1/5) ^3

 = 3/125

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Suitcase store 45 inches

Overhead

It will be aproximately equal to 11$, because when you take x=5 then the heigh of the y coordinate will be aproximately equal to 11.

The "same side interior angle theorem" states: If a transversal intersects two parallel lines, each pair of same-side interior angles are supplementary (their sum is 180∘ ).

In the image uploaded, the same side interior angleS are 1 and 4, also 2 and 3.

Therefore, in the question, the same side interior angle is option B