Point Q has coordinates (5,6). If you rotate Q 90° about the​ origin, (0,0), what are the coordinates of Q′

62 + 35 = 97

62 represents the people who think the education helped them grow personally

35 represents the people who somewhat believe it helps them develope specific skills in the work place.

93 in total were interviewed for the "helping them grow personally" question

84 in total for the question that talkings about helping the people develop specific skills and knowlege

93 + 84 = 177

If 97 of those people believe the college degree was useful personally and somewhat useful for learning specific skills, we have to find what is 97 of 177 as a percentage.

54.802259887 rounded is 54.8%

Which means 54.8% of college graduates believe their education was useful for helping them grow personally but not useful for developing specific skills.

The unit rate represented in the equation y = 3/5x is the value multiplying x, that is, the unit rate is 3/5.

In order to find the unit rate of each table, we just need to divide the y-values by the x-values.

So, the unit rate of the first table is:

The value 4/3 is greater than the value 3/5.

In the second table we have that:

The value 4/5 is greater than the value 3/5;

In the third table, we have that:

In order to compare this fraction with 3/5, we need to make them be in the same denominator, so we have to calculate the least common multiple of the denominators.

Since 5 and 31 are prime numbers, the LCM is the product of both numbers.

So we have that:

The number 90/155 is lesser than 93/155, therefore 18/31 is lesser than 3/5, so the answer is the third table.

Given:

Number of samples n =58

Mean

Standard deviation

Required:

Find the confidence interval.

Explanation:

The confidence interval formula is

Substitute the given values in the formula.

The required simplified value of the given expression is given as 257 / 16. None of the options is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is,

= 2(x + 4) - (y - 8)
According to the question put,
x = 1 / 8 and y = 3 / 16
= 2 (1/8 + 4) - (3/16 - 8)
= 2 (33/8) - (-125 / 16)
= 33 / 4 + 125 / 16
= 132 + 125 / 16
= 257 / 16

Thus, the required simplified value of the given expression is given as 257 / 16.

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The explicit formula which correctly represents the progression represented by the recursive formula above is; a(n) = 8 + 15(n - 1).

It follows from the complete task content that the explicit formula which correctly represents the progression described by the recursive formula; an = an-1 + 15 be determined.

Therefore, by observation of the recursive formula; it follows that the progression is arithmetic with a common difference, d = 15.

Also, since the first term; a₁ = 8, the required explicit formula is;

a(n) = 8 + 15(n - 1).

This follows from the general explicit formula of arithmetic progressions; a(n) = a₁ + (n - 1)d.

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The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

What is the solution?

Given equations:  27≤−2x+7, −13>−2x+7

Solving each equation,

27≤−2x+7

−2x≥27−7

−2x≥20

x≤ (20/−2)

x≤−10

−13>−2x+7

−2x≤−13−7

−2x≤−20

x≥ (-20/-2)

x≥10

The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

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The approximate diameter of the circle is 5.77 cm

Given that :

area of circle = 28.3 cm²

How is Area of circle is calculated ?

Area of circle is calculated using formula :

A= πr²

where "π" represents 3.14 and r is radius. So now, according to given information,

Where Pi = 3.14

Hence,

A= πr²

Substitution the value of A in above formula :

28.3 = πr²

28.3 = 3.14r²

r² =28.3/3.14

r² =8.323

√r²=√8.323

r = 2.885

r = 2.885 cm Approximately.

d = 2r

d = 5.77 Approximately.

Therefore, the diameter of the circle is 5.77 cm

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Answer:

36

Explanation:

Given the ratio:

Let the number = x

Then:

Next, solve for x:

Thus, the number that makes the ratio equivalent to 3:5 is 36.

Answer:

y = -4

Step-by-step explanation:

it's a horizontal line

Answer:

$88.

Step-by-step explanation:

$44 dollar for 4 balls.

That means for one ball it is $11.

44 ÷ 4 = 11.

Therefore:

8 x 11 = 88.

The answer is $88.

Hope this helps!

Answer:

n + 4

Step-by-step explanation:

n is being used to describe the position of a term.

We can see that the sequence is increasing linearly by 1.

Since the position of the next term is increasing linearly by 1, all we have to do is look at the first term and subtract 1 from it to get our constant (4).

An equation to think about this better would be

n + C = S

C is the constant we are solving for.

We know n = 1.

S is the number corresponding in the sequence with n.

1 + C = 5

Subtract 1 from both sides to isolate C.

C = 4

1 + 4 = 5  Checks out

n + 4

You don't need to include the equals sign because the problem asks for an expression which doesn't contain an equals sign unlike an equation.

Answer: 270

Step-by-step explanation: First, you want to multiply the -3 and the 18. That makes -54. Then, you multiply that answer (-54) by -5, which is 270.

Hope this helps!

Follow the order of PEMDAS of operations:

Multiply and divide (from left to right).

Apply the rule: (-a)*(b) = -a*b

(-3)(18) = -13 * 18 = -54

-54(-5) = 54 * 5 = 270

The answer is 270✅ .

The rule of the compounded interest is

A is the new amount

P is the initial amount

r is the interest rate in decimal

n is the number of periods per year

t is the number of years

Since the initial amount is $1100, then

P = 1100

Since the interest rate is 5.5%, then

r = 0.055

Since the interest is compounded monthly, then

n = 12

Since the time is 2 years, then

t = 2

Substitute them in the rule above to find A

Lydia's return after 2 years is $1227.60 to the nearest cent

Answer:

y=-1/4x-6

Step-by-step explanation:

it hit -6 on the y axis

And it is jumpin by 4 going down

So -4 is the x axis

Answer: -10 + 34u

Step-by-step explanation:

2 x (10u + 3) + 2 x (7u -8)

20u + 6 + 14u - 16

34u - 10

Answer: -10 + 34u

Step-by-step explanation:

1) Set up the equation

A = 2B + 2H

2) Substitute the variables

A = 2(10u+3) + 2(7u-8)

3) Solve the equation

A = 20u + 6 + 14u - 16

4) Simplfy

A = 34u - 10

A = -10 + 34u

Answer:

55.4 °F

Step-by-step explanation:

To find the difference, subtract the 2 values.

38.2-(-17.2)

2 minus signs equal a plus sign, so:

38.2+17.2 = 55.4

martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = upper limit - lower limit /2

Substitute the values into above formula as follows.

= 33-30/2

=1.5

Thus ,we can conclude that Martina's margin of error is 1.5.

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1. The θ lies in the 1st and 2nd quadrants of the graph.

2. The θ lies in the 2nd and 3rd quadrants of the graph.

3. The θ lies in the 1st and 3rd quadrants of the graph.

4. The θ lies in the 2nd and 3rd quadrants of the graph.

5. The θ lies in the 1st and 2nd quadrants of the graph.

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Answer:

3y

Step-by-step explanation:

Divide the numbers and then divide the variables.

21/7 = 3

y²/y = y

Therefore,

21y²/7y = 3y

Answer:46656

4634234

Step-by-step explanation:5

y5

Answer:

6.78

I hope this helps.

Step-by-step explanation:

Answer:

719

– ___

6

Step-by-step explanation:

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059

= 1/6 + 4529 - 4590 - 059

= 1/6 + (-120)

= 719

— ___

6

The amount Patricia paid as fees on on the account last year was $226.25

What makes up the total cost for Patricia?

Patricia pays a fixed monthly maintenance fee of $17 for every month last year, which means that the total annual maintenance fee last year is the monthly maintenance fee multiplied by 12 months, whereas, the annual check-writing fee is the check-writing fee per check multiplied by the number of checks issued last year.

total annual maintenance fee=monthly maintenance fee *12

monthly maintenance fee=$17

total annual maintenance fee=$17*12

total annual maintenance fee=$204.00

annual check-writing fee= check-writing fee per check*number of checks

annual check-writing fee=$0.05*445

annual check-writing fee=$22.25

total fees paid by Patricia last year=$204.00+$22.25

total fees paid by Patricia last year=$226.25

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The  percent error of Ming’s estimate is 28.571%

Ming estimated that there would be 21 members in his bicycle club by the end of summer

There were actually 15 members at the end of summer

error = 21 - 15 = 6

error percent = error / total x 100

=100( 6 / 21)

= 28.571

Therefore, if Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer the the percent error of Ming’s estimate is 28.571%

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Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )

m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]

Ratio compares the number of shaded to the total number of sections is 1/2

Given- diagram

Find- ratio of shaded sections to total number of section

Shaded sections =4

total sections =8

Hence, Shaded sections: total sections.

= 4: 8

=4/8

=1/2

Hence,

1/2

A solid's cross section is a plane figure formed when the solid intersects another plane. As a result, the cross section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented.

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Answer:

-1

Step-by-step explanation:

replace x with -1

20>4(-1)+16

20>-4+16

20>12

We have the folllowing, the density population in US is:

The density population in California is:

The density in Califoria is 232.37 per mi^2

therefore, the density in California is higher than in the US.

The answer is 3/10

Explanation:

= 3/4 x 2/5

= 3/4 x 2/5

= 3/2 x 1/5

= 3 x 1 / 2 x 5

= 3 / 2 x 5

= 3/10

Answer:

(0, 6)

Step-by-step explanation:

The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).