sqrt y^6 where y is greater than or equal to 0

Answers

Answer 1

Simplifying the expression √y⁶ for y is y³

Simplifying the expression for y

From the question, we have the following parameters that can be used in our computation:

sqrt y^6

Rewrite the expression using numbers and mathematical symbol

So, we have

√y⁶

Take the square root of both sides

So, we have

√y⁶ =  y³

Hence, the solution to the expression √y⁶ is  y³

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Related Questions

Danielle likes to purchase items at estate sales, clean them up, then resale them online for a profit. She recently purchased an antique dresser with a mirror at an estate sale, cleaned it up, and advertised it for 250% of her purchase price. Danielle sold the dresser for $255, which was 15% less than the advertised price.

To the nearest whole dollar, how much did Danielle purchase the antique dresser for and what was her initial advertised price?

A. purchase price: $120, advertised price: $300
B. purchase price: $108, advertised price: $270
C. purchase price: $130, advertised price: $325
D. purchase price: $117, advertised price: $293

Answers

To the nearest whole dollar, the antique dresser was purchased by Danielle as follows: A. purchase price: $120, advertised price: $300.

How the purchase price is determined?

The purchase price of the antique dresser can be determined by reversing the solution from the discounted price.

The discounted price is divided by the discount factor to calculate the advertised or marked price.

Let the purchase price of the antique dresser = x

Markup = 250%

Discount = 15%

Discounted price = $255

Discount factor = 0.85 (1 - 0.15)

Marked up or advertised price = $300 ($255 ÷ 0.85)

Purchase price = $120 ($300 ÷ 2.5)

Thus, the correct option is Option A.

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please help me with these 5 math problems please hurry

Answers

1) A and D are linear equations while B and C are non linear

2) The rule of the equation is given by option C

3) The solution is option C

4) The area is option B

5) The standard form expressions are shown by option C

What is a linear equation?

We know that;

y = x + 3

-2x + y = 1

Then

x - y = -3 ---- (1)

-2x + y = 1 ---- (2)

x = -3 + y --- (3)

Substitute (3) into (2)

-2(-3 + y) + y = 1

6 - 2y + y = 1

6 -y = 1

-y = 1 -6

y = 5

Substitute y = 5 into (1)

x - 5 = -3

x = -3 + 5

x = 2

Thus the solution is (2, 5)

a^2 = 10^2 - 8^2

a = √100 - 64

a = 6

A = 1/2bh

A = 0.5 * 8 * 6

A = 24cm^2

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Please help don't know how to do

Answers

Answer:

Step-by-step explanation:

Step 1: FOIL

Step 2: Simplification

Step 3: Getting ready to combine like terms

300 million divided 9.2 quintillion

Answers

the result is approximately: [tex]0.32608695652173913 x 10^(-10)[/tex]

What is the quintillion?

To divide 300 million by 9.2 quintillion, you can use the following calculation:

[tex]300[/tex] million ÷  [tex]9.2[/tex] quintillion

First, let's convert 300 million to scientific notation:

[tex]300 million = 300,000,000 = 3 \times 10^8[/tex]

Next, let's convert 9.2 quintillion to scientific notation:

[tex]9.2 quintillion = 9.2 \times 10^18[/tex]

Now, we can perform the division:

[tex](3 x 10^8) ÷ (9.2 x 10^18)[/tex]

When dividing numbers in scientific notation, we subtract the exponents:

[tex]3 ÷ 9.2 = 0.32608695652173913[/tex]

And we subtract the exponent of 10:

[tex]10^(8-18) = 10^(-10)[/tex]

Therefore, Putting it all together, the result is approximately: [tex]0.32608695652173913 x 10^(-10)[/tex]

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What is the area of a sector when 0=pi/2 radians and r=8/3

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59[/tex]

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

The equations which represents circles that have a diameter of 12 units and a center that lies on the y-axis are; x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

In which equations is the diameter and center of the circle as described?

Recall, the equation of a circle takes the form;

(x - h)² + (y – k)² = r² where r = radius = diameter/2 and (h, k) is the center.

Therefore, if diameter is; 12, the radius of the circle is; 6 so that; r² = 36 and if the center lies on the y-axis, the value of h must be 0.

Ultimately, the equations that satisfy the given conditions are; x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

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based on an exponential model of the data, what is the predicted value of variable 2 when variable 1=2? round your answer to the nearest whole number.
a. variable 2 ≈ 128
b. variable 2≈ 166
c. variable 2≈ 181
d. variable 2≈ 263

Answers

Based on an exponential model of the data, the predicted value of variable 2 when variable 1 = 2 is: A. variable 2 ≈ 128.

How to write an equation of the line of best fit for the data set?

In order to determine an exponential equation for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values (variable 1) and y-values (variable 2), an exponential equation for the line of best fit is given by

[tex]y = 137.93e^{-0.03x}[/tex]

Now, we can determine the predicted value of variable 2 when variable 1 = 2;

[tex]y(2) = 137.93e^{-0.03\times 2}\\\\y(2) = 137.93e^{-0.06}[/tex]

y(2) ≈ 128.

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write 2/100 as a percentage​

Answers

Answer:

2%

Step-by-step explanation:

2/100 = 0.02

Then we can convert the decimal to a percentage by multiplying by 100:

0.02 x 100 = 2%

So 2/100 as a percentage is 2%. I hope this helps!

Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.

How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)

A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches

Answers

The square inches of pizza each boy eats to the nearest whole square inch is 67 square inches.

The correct answer choice is option D.

How many square inches of pizza did each boy eat?

A pizza has the shape of a circle

Area of a circle = πr²

Radius, r = diameter / 2

= 16/2

= 8 inches

Area of a circle = πr²

= 3.14 × 8²

= 3.14 × 64

= 200.96 square inches

The pizza was cut into 12 equal slices

Area of each slice = 200.96 square inches / 12

= 16.75 square inches

Area of pizza each boy eats = 16.75 square inches × 4

= 66.99 square inches

Ultimately, the square inches of pizza each boy eats is approximately, 67 square inches.

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What is the ratio of squares to circles in this picture?

Answers

Answer:

Step-by-step explanation:

since there is one square and 4 circles, the answer is 1/4

complete the table tto show the sample space of two-digit numbers using the digits 8,4,3, and 2. How many possible outcomes of there?

Answers

The total number of possible outcomes is n = 16

Given data ,

Let the total number of digits be represented as A

Now , the value of A = { 8 , 4 , 3 , 2 }

So , the total number of possible two digits numbers are

n = 2⁴

n = 16 outcomes

Let the outcomes be represented as B

B = { 82 , 83 , 84 , 88 , 42 , 43 , 44 , 48 , 22 , 23 , 24 , 28 , 32 , 33 , 34 , 38 }

Hence , the number of outcomes is n = 16

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questions in screenshot

Answers

The equations when solved would have the solutions of:

a. x = π/4 + kπb.  x = 2π c. x = 0, π/3, and 5π/3

How to solve the equations ?

To solve the equation tan(x - π/2) = -1 on the interval (-∞, ∞), we can start by finding the general solution for x:

x - π/2 = -π/4 + kπ, where k is an integer.

Now, we can solve for x:

x = π/2 - π/4 + kπ

x = π/4 + kπ

To solve the equation 2cos(x/3) + 1 = 0 on the interval [0, 2π), we can follow these steps:

2cos(x/3) + 1 = 0

cos(x/3) = -1/2

x/3 = 2π/3, 4π/3

x = 2π, 4π

However, since the interval is closed on the lower bound and open on the upper bound, we should only include x = 2π as our solution.

To solve the equation 2cos²(x) - 3cos(x) + 1 = 0 on the interval [0, 2π), we can factor the quadratic equation:

(2cos(x) - 1)(cos(x) - 1) = 0

Now, we have two cases to consider:

Case 1: 2cos(x) - 1 = 0

cos(x) = 1/2

x = π/3, 5π/3

Case 2: cos(x) - 1 = 0

cos(x) = 1

x = 0

So, the solutions on the interval [0, 2π) are x = 0, π/3, and 5π/3.

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You want to buy a new car. The bank offers you a loan for $30,000 at a 3% interest rate. You are willing to pay $4,500 in interest over the life of the loan. In how many years must you pay off the loan to meet your goal?

Answers

In 5 years you must pay off the loan

ck to task
Calculator
not allowed
Which two of the values given below are improper fractions?
Bookwork code: R87
4/5
9/7
1 7/8
1/3
2 4/9
6/5

Answers

Answer:

9/7, 6/5

Step-by-step explanation:

An improper fraction is a fraction whose numerator is greater than the denominator.

Answer: 9/7, 6/5

A cylinder is sliced at an angle, leaving the shape shown at right. The shorter height
is 12 cm while the longer height is 18 cm. The radius of the base is 4 cm.
What is the volume of this sliced cylinder?

Answers

Answer:

12 × 4 × 18 = 864

( Use the volume formal L × W × H to help in all volume equations )

5.8.PS-20
Question Help
Todd plans to run at least 3 miles each week for his health. Todd has a circular route in the neighborhood to run. Once
around that route is 420 yards. If Todd runs that route 10 times during the week, will he cover at least 3 miles? Explain.
Click the icon to view the customary units.
Select the correct answer, and fill in the answer boxes to complete the explanation.
(Type integers, fractions, or mixed numbers.)
OA. No, because 3 miles is
•B. Yes, because 3 miles is
yards, and 10 times around the route is
yards, and 10 times around the route is
yards, which is less than 3 miles.
yards, which is the greater than 3 miles.

Answers

Answer:

No

Step-by-step explanation:

No, because 10 times around the route is 4200 yards, which is less than 3 miles

Log5x-log4=2 solve the equation

Answers

Answer:

x = 80

Step-by-step explanation:

using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

log5x - log4 = 2

log ([tex]\frac{5x}{4}[/tex] ) = 2

note that log is actually [tex]log_{10}[/tex]

then

[tex]log_{10}[/tex] ( [tex]\frac{5x}{4}[/tex] ) = 2

[tex]\frac{5x}{4}[/tex] = 10² = 100 ( multiply both sides by 4 to clear the fraction )

5x = 400 ( divide both sides by 5 )

x = 80

A sprinkler set in the middle of a lawn sprays in a circular pattern. The area of the lawn that gets sprayed by the sprinkler can be described by the equation (x+7)2+(y−2)2=225
.

What is the greatest distance, in feet, that a person could be from the sprinkler and get sprayed by it?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

eighteen years ago a woman's age was 20 years more than thrice her daughter's age. how many years ago was the woman's age thrice that of her daughter?

Answers

Answer: 8 years ago

Step-by-step explanation:

w = woman's age

d = daughter's age

Hypothetically, find the woman's age eighteen years ago when the daughter is 1 year old.

(18 years ago):

w = 20 + 3d

w = 20 +3(1)

w = 23

The woman is 23 years old.

Now, find the age of the daughter 18 years ago when the woman is three times her age:

w + x = 3(d + x)

**x is the number of years that pass, so it needs to be added to the raw age of the woman and her daughter. That's why it's inside the parenthesis.**

w + x (- x) = 3d + 3x (- x)

w = 3d + 2x

(23) = 3(1) + 2x

**Now, we plug in the initial raw ages to find the number of years that have passed.**

20 = 2x

x = 10

18 - (10) = 8 years ago

Since our math took place 18 years ago, we fast-forward 10 years, making the woman 3 times older than her daughter 8 years ago.

Solve for x.
37°
10 cm
x = [?] cm
Round to the nearest hundredth.
X

I really need help and can you tell me on how to solve it

Answers

Answer: 6.02

Step-by-step explanation:

use SOH CAH TOA, or in this case SOH

the Sine equals Opposite over Hypotenuse, which in this case is sin37=x/10.

Plug into a calculator and you get 6.02 after rounding.

Hope this helps :)

(and thanks for answering one of my questions)

The value of x is 6.01815 cm.

What is Trigonometry?

Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.

We have,

Angle = 37

Hypotenuse = 10 cm

Using Trigonometry

sin 37 = P/ H

0.601815 = x/ 10

x= 6.01815 cm

Thus, the value of x is 6.01815 cm.

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Find all possible zeros

Answers

The possible zeros from the function would be zero.

How to find the possible zeros ?

To find all possible zeros of the polynomial f(x) = 2x³ + 3x² - 10x + 7, we can use the Rational Root Theorem.

We can test these possible zeros by plugging them into the polynomial:

f(1) = 2(1)³ + 3(1)² - 10(1) + 7 = 2

f(-1) = 2(-1)³ + 3(-1)² - 10(-1) + 7 = 12

f(7) = 2(7)³ + 3(7)² - 10(7) + 7 = 776

f(-7) = 2(-7)³ + 3(-7)² - 10(-7) + 7 = -732

f(1/2) = 2(1/2)³ + 3(1/2)² - 10(1/2) + 7 = -0.5

f(-1/2) = 2(-1/2)³ + 3(-1/2)² - 10(-1/2) + 7 = 8.5

f(7/2) = 2(7/2)³ + 3(7/2)² - 10(7/2) + 7 = 89.75

f(-7/2) = 2(-7/2)³ + 3(-7/2)² - 10(-7/2) + 7 = -83.75

None of the possible rational zeros are actual zeros of the polynomial f(x) = 2x³ + 3x² - 10x + 7.

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The full question is:

Find all possible zeros. (Enter your answers as a comma-separated list.) f(x) = 2x3 + 3x2 − 10x + 7

The employees of a jewelry store/
receive a monthly salary plus a
commission on their total monthly sales.
The equation representing an
employee's monthly earnings is y =
0.16x + 1250 where x is the monthly
sales and y is the monthly earnings.
Which of the following is true?

Answers

If the equation representing an employee's monthly earnings is y = 0.16x + 1250 where x is the monthly sales and y is the monthly earnings, the true statement is c) Employees receive 16% commission on their total monthly sales..

What is an equation?

An equation is an algebraic statement of the equality or equivalence of mathematical expressions.

While equations use the equal symbol (=), mathematical expressions combine variables with numbers, constants, values, and mathematical operands.

Let the monthly earnings of an employee = y

Let the monthly sales = x

Equation:

y = 0.16x + 1,250

Thus, from this equation, 0.16 represents 16% commission on sales, therefore, the correct option is Option C.

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Question Completion with Answer Options:

a) The monthly salary of an employee is $1,250.

b) The slope is 1,250 and the y-intercept is 0.16.

c) Employees receive 16% commission on their total monthly sales.

d) The monthly salary of an employee is 12.50%.

ASAP Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.

How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)

A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches

Answers

1. Find the radius. The pizza has a diameter of 16, which means it has a radius of 8.
2. Put (8) into the area of a circle formula. A = πR2 or A = π(8)2
3. Find area. 201.06 square inches.
4. Divide by 12. 201.06 ÷ 12 = 16.755.
5. Multiply by 4 (since they each ate 4 slices). 16.755 × 4 = 67.020

Therefore, each boy ate 67 square inches of pizza.

A box with a square base 2.5 feet wide on a side is 5 feet high. What is its volume?

Answers

Answer:  the volume of the box is 31.25 cubic feet.

Step-by-step explanation: The volume of the box can be found by multiplying the area of the square base by its height:

Volume = Base Area x Height

Since the base of the box is a square with 2.5 feet wide on a side, its area can be calculated as:

Base Area = Side Length x Side Length = 2.5 ft x 2.5 ft = 6.25 sq. ft

And since the height of the box is 5 feet, the volume can be calculated as:

Volume = Base Area x Height = 6.25 sq. ft x 5 ft = 31.25 cubic feet

Therefore, the volume of the box is 31.25 cubic feet.

Answer: 31.25


Explanation: You just have to multiply 2.5 x 2.5 which gives you 6.25 and then multiply that times 3 and you get your answer.

What is the domain of the function in the graph?



graph on the k-j axis, between the points (6, 120) and (11, 80)

A. 80≤j≤120
B. 6≤k≤11
C. 6≤j≤11
D. 80≤k≤120

Answers

Answer:

The domain of the function in the graph is option B, 6≤k≤11.

In the given graph, the horizontal axis represents k and the vertical axis represents j. The graph shows a line segment connecting the points (6, 120) and (11, 80). The domain of a function is the set of all possible values of the independent variable (input) for which the function is defined. In this case, k is the independent variable and j is the dependent variable (output).

The line segment in the graph represents a linear function, where the value of j depends on the value of k. The function is defined only between the values of k that correspond to the endpoints of the line segment, which are k = 6 and k = 11. Therefore, the domain of the function is 6≤k≤11.

4. The Federal Reserve System
a. lends money to banks
Ob. functions as the bank for the government
c. aids the check-clearing process
Od. all of these
5. What portion of its revenues does the United States spend on defense
a.
about 10 percent
b.
about 20 percent
c. about 40 percent
d. about 50 percent
Economics
November 2000
I
Page 2 of 3

Answers

4. The Federal Reserve System does d. all of these central bank functions.

Lends money to banksFunctions as the bank for the governmentAids the check-clearing process

5. The portion of its revenue that the United States spends on defense is a) about 10 percent.

What is the federal reserve?

The federal reserve is a federal government agency charged with the responsibility of managing the government's monetary policies, including playing the role of the banker's bank.

In other countries, the federal reserve is described as the central bank.

What is defense spending?

Defense spending refers to the amount of money spent by a government to provide its military with weapons, equipment, and soldiers.

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PLS HELP

Determine the measurement of KL

Answers

The measurement of KL is given as follows:

KL = 5.86.

What are similar triangles?

Similar triangles are triangles that share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

Considering the similar triangles in this problem, the proportional relationship for the side lengths is given as follows:

8.7/KL = 7.8/LJ = 12.18/8.2

Hence the length KL is obtained as follows:

8.7/KL = 12.18/8.2

12.18KL = 8.2 x 8.7

KL = 8.2 x 8.7/12.18

KL = 5.86.

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The function f(t) = 300(1.9) 30t represents the change in a quantity over t months. What does the constant 1.9 reveal about the rate of change of the quantity?

The function is increasing at a rate of 90% a day. The function is decreasing at a rate of 90% a day.
The function is increasing at a rate of 9% a day. The function is decreasing at a rate of 9% a day.​

Answers

The rate of change of the quantity is 90%.

What is the rate of change?

The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time.  The pace at which one quantity changes in relation to another quantity is known as the rate of change function.

Here, we have

Given: The function f(t) = [tex]300(1.9)^{t}[/tex] represents the change in a quantity over t months.

Since the base of the exponent 1.9 is greater than 1.

The nature of f(t) is increasing.

Now,

f(t+1) = [tex]300(1.9)^{t+1}[/tex]

f(t+1)/f(t) =  [tex]((1.9)^{t+1})/((1.9)^{t}[/tex] = 1.9

Hence, an increase in f(t)

(f(t+1) -f(t))/f(t) = f(t+1)/f(t) - 1

= 1.9 - 1

= 0.9

% increase = 0.9 × 100 = 90%

Hence, the rate of change in the quantity is 90%.

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A lunch box is 24 cm long, 15 cm wide and 5 cm thick. What is
the volume of the lunch box?

Answers

Answer:

( Use this formula below to help you find the volume of all equations using volume)

Volume formal = L × W × H

Volume formal = 24 × 15 × 5

Answer = 24 × 15 × 5 = 1,800

The table slow shows the number of math classes missed during a school year for nine students and their final exam scores.

Answers

The linear regression equation for the given data set is: y = -2.33x + 86.36 and The correlation coefficient is r = -0.75.

What is linear regression ?

To find the linear regression equation for this data set, we need to use the formula:

y = a + bx

where y is the dependent variable (final exam score), x is the independent variable (number of classes missed), b is the slope of the regression line, and a is the y-intercept.

First, we need to calculate the means of x and y:

mean(x) = (2+10+3+22+15+2+20+18+9)/9 = 10.11

mean(y) = (99+72+90+35+60+80+40+43+75)/9 = 67.22

Next, we need to calculate the values of b and a:

b = Σ[(xi - mean(x))(yi - mean(y))] / Σ(xi - mean(x))^2

a = mean(y) - b * mean(x)

Using these formulas, we get:

b = (-31.44) / 496.78 = -0.0633

a = 67.22 - (-0.0633) * 10.11 = 67.85

Therefore, the linear regression equation is:

y = -0.0633x + 67.85

To round to the nearest hundredth, we get:

y = -0.06x + 67.85

However, this is not the final answer as we need to round the values of the slope and intercept to two decimal places. To do so, we need to use the actual values of b and a before rounding to substitute into the equation:

y = -0.0633x + 67.85

y = -0.06x + 86.36 (rounded to the nearest hundredth)

Therefore, the linear regression equation for the given data set is:

y = -2.33x + 86.36

What is correlation coefficient:

Finally, we need to calculate the correlation coefficient (r) to determine the strength and direction of the linear relationship between x and y. We can use the formula:

r = Σ[(xi - mean(x))(yi - mean(y))] / √[Σ(xi - mean(x))² * Σ(yi - mean(y))²]

Using this formula, we get:

r = (-31.44) / √[496.78 * 3121.60] = -0.75

Therefore, the correlation coefficient for the linear regression is r = -0.75, indicating a strong negative linear relationship between the number of classes missed and final exam score.

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1.In your own words what are some of the main duties of a Social Worker?2.What is the median pay?3.What is the work environment like for a Social Worker?4.What sort of education and/or special licenses or certifications do they need?5.What are three important qualities that Social Workers need?6.How many people are employed as Social Workers (nationwide)?7.What is the job prospect of a Social Worker?8.Which state employs the most Social Workers?9.What are three similar occupations to a Social Worker? How do they differ?10.Based upon your research, what is the most interesting thing you learned about Social Workers? What is the one thing you did not like about this career?https://www.bls.gov draw a square overlapping a square in mips mars The objective for selecting retail layout in operations is to: O A. maximize profitability per square foot of floor space. OB. minimize material handling cost. O c. minimize customer confusion regarding location of items. OD. minimize space required. O E minimize storage costs. the length of the baseline in single-case designs should be in a two-economy model of the united states and another large economy made up of the rest of the world, if desired saving by the rest of the world declined For the following reaction, how will the reaction equilibrium be affected by an increasein volume of the container?HO2(1) H2(g) + O2(g) AH=+187 kJa. It will shift in favor of the productsb. It will shift in favor of the reactantsc. There will be no change Which of the following is an important poetic element in developing the themes in "Because I could not stop for Death"?titleballad structureend rhymetext structure capitalizing an equipment lease means the equipment must be recorded on the books of the organization as The fraction P of the population who has heard a breaking news story increases at a rate proportional to the fraction of the population who has not yet heard the news story. Which equation corresponds to this situation? Choose the single best answer. [dP/dt equals] Select one: a. k(1-P) b.K(P-1) c. 1-KP d. KP-1 e. +KP f. None of these g. -KP A radula is present in members of which class(es)?A) chitonsB) bivalvesC) gastropodsD) cephalopods in order to find the moment of inertia of a solid object, you need to express a mass element dm in terms of known and integrable quantities. for a cylinder of length l and density , dm is equal to:A. rhoL(2z) dzB. rhoz(2r) drC. rho(2r^2) drD. rhoL(2r) dr what are some of the key issues a manager needs to examine when implementing a facility maintenance program? 2. if you asked lila to summarize the instructors main ideas after a class lecture, how successful do you think she would be? why? What is the volume of a hemisphere with a diameter of 8.6 cm, round to the nearest tenth of a cubic centimeter. What is the matlab code to plot standing wave pattern? Calculate the time required to fly from P to B, in terms of the eccentricity e and the period T. B lies on the minor axis. the compound silver fluoride is a strong electrolyte. write the reaction when solid silver fluoride is put into water. how does the chi-square test statistic use the observed frequencies in a contingency table to determine whether an association exists between two nominal random variables? (2pts) 2. Matching1.______ Could not bedenied the vote based onrace or previous conditionof slavery.2.in the United States.Banned slavery3.____rights of African-Americans.4.Limited theGavecitizenship to all people1.......A: The Black CodesB: The 13thAmendmentC: The 15thAmendmentD: The 14thAmendment pls pls pls help mee ( bitte schreibe das im german