Point P' is the translation of P (5, -5) under translation of 2 units to the left and 5 units up. What are the coordinates of P'?
(Graph up top)

(A.) (7, 0)

(B.) (7, 5)

(C.) (3, 5)

(D.) (3, 0) ​

Point P' Is The Translation Of P (5, -5) Under Translation Of 2 Units To The Left And 5 Units Up. What

Answers

Answer 1

Answer:

i dont know

Step-by-step explanation:

i dont know


Related Questions

PLS HURRY! 15 PTS!

Consider the function f(x)=x^3+2x^2-3. (a) Graph the function. (b) What are the x- and y-intercepts of the graph? BE SURE TO ANSWER (a) & (b). also pls show work!

Answers

Answer:

x-intercept = 1 and y-intercept = -3

Step-by-step explanation:

The graph of the function is attached with this answer.

I have used some computer program to draw graph but you can draw a rough graph manually on a graph sheet. For that

first of all you need to know basic structure of a cubic polynomial * which is somewhat like a wave (you can have a look at the graph attached to know the basic structure).Then plot some important points which are point of local maxima ** and local minima ***, point of intercepts (which is the second part of the question - has to be done first in order to draw a more accurate rough diagram of the function).

To Calculate Some Important Points :

Local Maxima and Minima :

These are the points where the the first derivative of the function becomes zero. This means that at these points the graph takes turn, if it was increasing behind this point then it will start decreasing after this point or the other way. The second derivative of the function at these points are either positive or negative (positive for local minima and negative for local maxima).

Intercepts :

To calculate the x-intercept, first you need to analyse the graph to know how many x-intercepts are there. According to this graph only one intercept is there, it means that only one real root of this cubic equation is there (a cubic equation has 3 roots in which either one is real and two are imaginary or all the three are real). To calculate roots of a cubic equation there is no specific way. Generally, the first root is through hit and trial method. So, let's start with the simplest number which is x=0

[tex](0)^{3}+2(0)^{2}-3 \neq 0[/tex]

∴ 0 is not a root.

Now, let x=1

[tex](1)^{3}+2(1)^{2}-3=0[/tex]

∴ 1 is a root.

Since 1 is the only real root of the equation, therefore (1,0) is the only x-intercept of the graph.

To calculate y-intercept, simply put x=0 in the equation which is

[tex]f(0)=(0)^{3}+2(0)^{2}-3=-3\\\therefore f(0)=-3[/tex]

Therefore the y intercept is (0,-3).

* Cubic Polynomial : Polynomials which have a degree (highest power of the variable) of 3 are called cubic polynomials.

** Local Maxima : Points at which the left and right neighbours have less function value are called local maxima.

*** Local Minima : Points at which the left and right neighbours have more function value are called local minima.

Answer:

x = 1 and the y = -3

Step-by-step explanation:

here below hope this helps

The equation 22 = 2y + x represents the perimeter of a flower garden with
length y (in feet) and width x (in feet). Solve for y. Then find the length of the
flower bed when the width is 2 feet, 3 feet, and 4 feet.

Answers

Answer:

[tex]y =  \frac{22-x}{2}[/tex]

For width = 2 ft, the length of the flower bed = 10 ft.

For width = 3 ft, the length of the flower bed = 9.5 ft.

For width = 4 ft, the length of the flower bed = 9 ft.

Step-by-step explanation:

Here, the Perimeter of the flower garden is given as

22 = 2 y + x

: where, y : Length of the garden

and x : Width of the garden .

Now, solving for y in the above expression,we get

22 = 2 y + x  ⇒    22 - x = 2 y

or, [tex]y =  \frac{22-x}{2}[/tex]

Now, when the width (x) = 2 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-2}{2}  = \frac{20}{2}  = 10[/tex]

or, x = 10 ft

For, the width = 2 ft, the length of the flower bed = 10 ft.

when the width (x) = 3 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-3}{2}  = \frac{19}{2}  = 9.5[/tex]

or, x = 9.5 ft

For, the width = 3 ft, the length of the flower bed = 9.5 ft.

when the width (x) = 4 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-4}{2}  = \frac{18}{2}  = 9[/tex]

or, x = 9 ft

For, the width = 4 ft, the length of the flower bed = 9 ft.

what is the simplified answer to 5+3w+3-w​

Answers

Answer:

5 + 3w + 3 - w = 2w + 8

Step-by-step explanation:

[tex]5+3w+3-w\qquad\text{combine like terms}\\\\=(3w-w)+(5+3)\\\\=2w+8[/tex]

The perimeter of a rectangle is twice the sum
of its length and its width. The perimeter is
40 meters and its length is 2 meters more
than twice its width.

Answers

Answer:

The width of the given rectangle  =  6 m

The width of the rectangle  = 14 m

Step-by-step explanation:

Let us assume the width of the rectangle  = k

So, the length of the rectangle  =  2 + 2 ( The width)  = 2 +  2 k

Perimeter of the rectangle  = 40 meters

Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)

or, 40 =  2 ( k + (2 +  2 k))

2( 3  k + 2) = 40

or, 2(3 k) +  2(2) = 40

or, 6 k = 40 - 4  =  36

k = 36 / 6 = 6, or  k = 6

Hence, the width of the given rectangle  = k = 6 m

The width of the rectangle = 2 + 2 k =  2 + 2(6)  = 14 m

What is the answer? Solve 4 ⋅ (−6)

Answers

The answer to 4 • (-6) is -24

If there are 32 boys and 56 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

4/7

Step-by-step explanation:

32/56=4/7

Answer:

The number of boys = 32

The number of girls = 56

therefore, to fine the possible ratio, you divided 32 and 56 to their lowest terms.

i.e 32: 56. 32÷8 : 56÷8 = 4:7

Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?

Answers

Answer:

Step-by-step explanation:

You need to divide 74308 divided by 52 which equals 1429.

A shade of green paint is to be mixed with 3 parts blue and 2 parts yellow Ten gailions of green paint are to be mixed
How many gallions of yellow paint must be used?

4
2
5
6 2/3

Answers

Answer:

4

Step-by-step explanation:

If we were to work backwards, 4 would be the 2 part in the equation, already done. 2x2=4. so that means that the other number must also be multiplied by 2, making the number 6. 6+4 is 10, meaning ten gallons. message me with any remaining questions!

There are 4 gallons of yellow paint are needed to mixed with the ten gallons of green paint.

To calculate how many gallons of yellow paint must be used to mix with blue paint in order to make ten gallons of green paint, using a ratio of 3 parts blue to 2 parts yellow, we first need to understand the total ratio parts. The ratio given is 3:2, which means there are 3 + 2 = 5 parts in total. Since we want to mix ten gallons of green paint, we need to split these ten gallons according to the ratio.

First, we calculate the value of one part by dividing the total gallons of green paint by the total number of parts:

10 gallons / 5 parts = 2 gallons per part

Now, since we have 2 parts yellow, we need:

2 parts  imes 2 gallons per part = 4 gallons

Therefore, to make ten gallons of green paint with the given ratio, 4 gallons of yellow paint must be used.

I will mark Brainliest and 5 s.

Here is part one I will post part two after I get an answer for this one.

Thank you so much!❤️

Answers

Answer:

Part 1) The rate of change of the linear function is [tex]\frac{1}{3}[/tex]

Part 2) The initial value is -4

Step-by-step explanation:

Part 1) Find the rate of change

we know that

The rate of change of the linear function is the same that the slope of the linear function

To determine the slope we need two points

Looking at the graph

take the points (0,-4) and (3,-3)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{-3+4}{3-0}[/tex]

[tex]m=\frac{1}{3}[/tex]

therefore

The rate of change of the linear function is [tex]\frac{1}{3}[/tex]

Part 2) Find the initial value

we know that

The initial value or y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

when the value of x is equal to zero

The value of y is equal to -4

so

The y-intercept is the point (0,-4)

therefore

The initial value is -4

What is the slope of this graph?

4

14

−14

−4

Answers

The slope of the given line with points (0, -3) and (-2, 5) is -4.

What is the slope?

The slope is the rate of change of the y-axis with respect to the x-axis. We can also think of slope as the rise over run. The slope of a line also describes the amount of angle a line forms from the positive x-axis.

From the given graph we can determine two points when x = 0 , y = -3 and when x = -2 , y = 5.

∴ The points of the given line are (0, -3) and (-2, 5).

We know the slope of a line is rise over run which is (y₂ - y₁)/(x₂ -x₁).

Therefore the slope of the given line is,

= (5 + 3)/(-2 - 0).

= 8/-2.

= -4.

learn more about slope here ;

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Part one
Find the cost to park for a day and the hourly rate to rent a paddleboat.​

Answers

Answer:

Total cost for a day=246 dollars

Hourly rate=10 dollars

Step-by-step explanation:

Let the Total cost be a function of 't' (time),i.e. total cost=R(t)

let R(t)=at+b where a and b are some constants belonging to real numbers

Now substitute t=1 in above equation

R(1)=a+b⇒16=a+b

substitute t=2,

R(2)=2a+b⇒26=2a+b

Now solving a+b=16 and 2a+b=26,

we get a=10 dollars/hour and b=6 dollars

Therefore the cost function is, R(t)=10t+6

where 10 dollars/hour is the hourly rate and 6 dollars is the base charge.

To get the Total charge for one day substitute t=24 in R(t)

R(24)=10*24+6=246 dollars

what is the answer of 67 × 27​

Answers

Answer:

1809

Step-by-step explanation:

Answer:

67 x 27 = 1,809 have a good day


A total of 814 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 more student tickets sold than adult tickets. How many adults tickets were sold?

Answers

Final answer:

To solve the problem, we set up an equation with 'x' representing adult tickets and concluded that 375 adult tickets were sold for the school play.

Explanation:

The question involves solving a numerical problem related to ticket sales. To find the number of adult tickets sold for the school play, we can set up an algebraic equation. Let x represent the number of adult tickets and x + 64 represent the number of student tickets (since there were 64 more student tickets sold than adult tickets). The total tickets sold were 814, so we can write the equation as follows:

x + (x + 64) = 814

Combining like terms, we have:

2x + 64 = 814

Subtracting 64 from both sides, we get:

2x = 750

Dividing both sides by 2, we obtain:

x = 375

Therefore, 375 adult tickets were sold for the school play.

Find the number if:

1.12 of it is 56

Answers

Answer:

The number is 50.

Step-by-step explanation:

1.12x=56

x=56/1.12

x=50

Of means to multiply. If you multiply the values you get 50

In regular mathematics what is nine times nine

Answers

Answer:

81

Step-by-step explanation:

A plumber is making steel ring to fit around a pipe with diameter
of 5 centimeters. How long does the steel ring need to be to fit
around the pipe? (Use 3.14 for Pi.)

A. 15.7 cm
B. 19.63 cm
C. 31.4 cm
D. 78.5 cm

Answers

Answer:

The circumference of the pipe can be derived by 2(pi) r = 2 (3.14) (2.5)= 15.7. Hence the steel ring needs to be 15.7 cm. (option A).

Final answer:

The length of the steel ring necessary to fit around a pipe with a diameter of 5 cm is 15.7 cm, found using the formula for the circumference of a circle. This formula is Circumference = Pi * Diameter.

Explanation:

The student wants to find out how long a steel ring needs to be to fit around a pipe with a diameter of 5 centimeters. This involves finding the circumference of a circle, which uses the formula Circumference = Pi* Diameter. So, to find the needed length of the steel ring, we substitute the given diameter into the formula.

Step 1: Write down the formula: Circumference = Pi*Diameter.

Step 2: Substitute the given diameter of 5 cm into the formula: Circumference = 3.14 * 5 cm.

Step 3: Calculate the circumference: Circumference = 15.7 cm.

Therefore, the steel ring needs to be 15.7 cm long to fit perfectly around the pipe. So, the answer is A. 15.7 cm.

Learn more about Circumference of a Circle here:

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x + y = 6
3x - 2y = -2

Answers

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

x+y=6

3x-2y=-2

---------------

y=6-x

3x-2(6-x)=-2

3x-12+2x=-2

5x-12=-2

5x=-2+12

5x=10

x=10/5

x=2

y=6-(2)=6-2=4

How many kilograms of lentils will each person get if 3 people share 1/5 of a kilogram of lentils equally?

Answers

Answer:

1/15 of a kilogram

Step-by-step explanation:

Answer:1/15 of a kilograms

Step-by-step explanation:

1/5 divided by three is the same as 1/5*1/3. 1*1 =1 and 5*3 =15

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Answers

[tex]\( \cos(2x) = \frac{1}{2} \).[/tex]

Given that [tex]\( \sin(x) = -\frac{1}{2} \) and \( \tan(x) \)[/tex] is negative, we can find \[tex]( \cos(2x) \)[/tex]using the trigonometric identities.

First, let's find the value of [tex]\( \cos(x) \)[/tex] using the Pythagorean identity:

[tex]\[ \cos^2(x) = 1 - \sin^2(x) \][/tex]

Given [tex]\( \sin(x) = -\frac{1}{2} \),[/tex] we have:

[tex]\[ \cos^2(x) = 1 - \left(-\frac{1}{2}\right)^2 \][/tex]

[tex]\[ \cos^2(x) = 1 - \frac{1}{4} \][/tex]

[tex]\[ \cos^2(x) = \frac{3}{4} \][/tex]

Taking the square root of both sides, since [tex]\( \cos(x) \)[/tex] is positive in the first and fourth quadrants:

[tex]\[ \cos(x) = \pm \frac{\sqrt{3}}{2} \][/tex]

Given that [tex]\( \tan(x) \)[/tex] is negative, we know that ( x ) lies in either the second or fourth quadrant. In the second quadrant, both [tex]\( \sin(x) \) and \( \cos(x) \)[/tex] are negative. In the fourth quadrant, [tex]\( \sin(x) \)[/tex] is negative but [tex]\( \cos(x) \) i[/tex]s positive.

Since [tex]\( \cos(x) = \pm \frac{\sqrt{3}}{2} \),[/tex] we conclude that [tex]\( \cos(x) = -\frac{\sqrt{3}}{2} \)[/tex]  (since [tex]\( \cos(x) \)[/tex] is negative in the second quadrant).

Now, using the double angle identity for cosine:

[tex]\[ \cos(2x) = 2\cos^2(x) - 1 \][/tex]

Substituting [tex]\( \cos(x) = -\frac{\sqrt{3}}{2} \):[/tex]

[tex]\[ \cos(2x) = 2\left(-\frac{\sqrt{3}}{2}\right)^2 - 1 \][/tex]

[tex]\[ \cos(2x) = 2\left(\frac{3}{4}\right) - 1 \][/tex]

[tex]\[ \cos(2x) = \frac{3}{2} - 1 \][/tex]

[tex]\[ \cos(2x) = \frac{3}{2} - \frac{2}{2} \][/tex]

[tex]\[ \cos(2x) = \frac{1}{2} \][/tex]

So, [tex]\( \cos(2x) = \frac{1}{2} \).[/tex]

please help with question below!

Answers

Answer:

45

Step-by-step explanation:

45 is constant, because no mater how many miles you drive, you will always be charged $45. It stays the same

Answer:

45

Step-by-step explanation:

your equation would be y= 45+22x and no matter what x equals, you will always have the set $45, so that is your constant.

It takes a machine 15 minutes to put
labels on 300 cans of soup. At this rate,
how many minutes will it take the
machine to put labels on 500 cans of
soup?

I need ASAP please explain also If I need to times or divide with these I get confused

Answers

Answer:

25

Step-by-step explanation:

To calculate rate, divide the number of cans by the time to get "Cans per minute".

300/15min = 20/min

Let m represent minutes and c for cans.

We write an equation for the problem:

c = 20m

We want to know the time for 500 cans, so substitute 500 for c.

500 = 20m

Isolate m and solve:

m = 500/20

m = 25

It will take 25 minutes to put 500 labels.

A television at Best Buy is on sale for 35% off. If the tv's original price was $1,800, what is the sale price?

The tv is on sale for

Answers

1170 35% off 1800 is equal to (35 x 35) /100= 630 so 1800 minutes 630 is 1170

Final answer:

The sale price of the television, after a 35% discount on the original price of $1,800, is $1,170.

Explanation:

To calculate the sale price of the television that was originally priced at $1,800 and now has a 35% discount, we need to determine what 35% of the original price is and subtract it from the original price.

Step-by-Step Calculation

Find 35% of $1,800:
(35/100) × $1,800 = $630.

Subtract the discount from the original price:
$1,800 - $630 = $1,170.

Therefore, the sale price of the television is $1,170.

Which formula can be used to describe the sequence? -2/3,-4,-24,-144...

Answers

The formula can be used to describe the sequence is [tex]a_{n}=\frac{-2}{3}(6)^{n-1}[/tex]

Step-by-step explanation:

The formula of the nth term of the geometric sequence is [tex]a_{n}=a(r)^{n-1}[/tex] , where

a is the first term of the sequencer is the common ratio between each two consecutive terms[tex]r=\frac{a_{2}}{a_{1}}[/tex] = [tex]\frac{a_{3}}{a_{2}}[/tex]

∵ The sequence is [tex]\frac{-2}{3}[/tex] , -4 , -24 , -144 , .......

∵ The 1st term is [tex]\frac{-2}{3}[/tex]

∵ The 2nd term is -4

∴ [tex]\frac{-4}{\frac{-2}{3}}=6[/tex]

∵ The 3rd term is -24

∴ [tex]\frac{-24}{-4}=6[/tex]

∵ The 4th term is -144

∴ [tex]\frac{-144}{-24}=6[/tex]

∵  [tex]\frac{a_{2}}{a_{1}}[/tex] = [tex]\frac{a_{3}}{a_{2}}[/tex] =  [tex]\frac{a_{4}}{a_{3}}[/tex] = 6

∴ There is a constant ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∵ The formula of the nth term of the geometric sequence is [tex]a_{n}=a(r)^{n-1}[/tex]

∵ a = [tex]\frac{-2}{3}[/tex]

∵ r = 6

∴ The formula of the sequence is [tex]a_{n}=\frac{-2}{3}(6)^{n-1}[/tex]

The formula can be used to describe the sequence is [tex]a_{n}=\frac{-2}{3}(6)^{n-1}[/tex]

Learn more:

You can learn more about sequences in brainly.com/question/7221312

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Answer:

c - f(x) = -2/3(6)^x − 1

Step-by-step explanation:

Edge 2020

Which statement best represents the equation below?
10+(-10)=0

A.A dog runs 10 feet to the left and then runs another 10 feet to the left.

B. A
girl earns $10 in 10 hours.

C. a bottle contained 10 Litters Of juice after 10 Litters spilled on the floor.

D. a car goes 7 feet and then reversed 7 feet.

Answers

Answer:

D

Step-by-step explanation:

its like going from point A to point B and then back to point A

Latoya, Henry, and Manuel served a total of 112 orders Monday at the school cafeteria. Latoya served 7 more orders than Henry. Manuel served 3 times as many orders as Henry. How many orders did they each serve?

Answers

Answer:

Henry: 21

Latoya: 28

Manuel = 63

Step-by-step explanation:

x = orders henry served

x + 7 = orders latoya served

3x = orders manuel served

x + (x + 7) + 3x = 112

5x + 7 = 112

5x = 105

x = 21

x + 7 = 21 + 7 = 28

3x = 3 * 21 = 63

H 21
L 28
M 63

H +(H+7) + 3H = 112
5H =105
H=21
L= 21+7=28
M=3*21=63

21+28+63=112

Choose the equivalent factored form

Answers

The answer is D I think

The bears at the zoo eat
875 pounds of food each week. How
much do they eat per day?

Answers

Answer:

They eat 125lbs of food a day

Step-by-step explanation:

You do 875 divide by 7 for the days of the week and you get 125

Answer:

125 pounds

Step-by-step explanation:

One week is equivalent to 7 days

If the bears eat 875 pounds each week all we have to do to get the answer is divide 875 by 7.

875 ÷ 7 = 125

Hope I helped!

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A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after t
seconds is given by the equation h - 16t" + 16 + 1400. How long after the pebble is thrown will it hit the ground?
The pebble will hit the ground about
seconds after it is thrown.

Answers

A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The​ height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 16 t plus 1400

h=−16t2+16t+1400. How long after the pebble is thrown will it hit the​ ground?

Answer

The pebble hits the ground after 9.8675 s

Step-by-step explanation:

Given

waterfall height = 1400 feet

initial velocity =  16 feet per second

The height, h, of the pebble after t  seconds is given by the equation.

[tex]h(t) = -16t^{2}+16t+1400[/tex]

The pebble hits the ground when  [tex]h = 0[/tex]

[tex]h=-16t^{2}+16t+1400[/tex] ---------------(1)

put [tex]h=0[/tex] in equation (1)

[tex]0=-16t^{2}+16t+1400[/tex]

[tex]-16t^{2}+16t+1400=0[/tex]

Divide by -4 to simplify this equation

[tex]4t^{2}-4t-350=0[/tex]

using the Quadratic Formula where

a = 4, b = -4, and c = -350

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]t=\frac{-(-4)\pm\sqrt{(-4)^{2}-4(4)(-350) } }{2(4)}[/tex]

[tex]t=\frac{4\pm\sqrt{16-(-5600) } }{8}[/tex]

[tex]t=\frac{4\pm\sqrt{16+5600 } }{8}[/tex]

[tex]t=\frac{4\pm\sqrt{16+5616 } }{8}[/tex]

The discriminant [tex]b^{2}-4ac>0[/tex]

so, there are two real roots.

[tex]t=\frac{4\pm12\sqrt{39 } }{8}[/tex]

[tex]t=\frac{4}{8}\pm\frac{12\sqrt{39 }}{8}[/tex]

[tex]t=\frac{1}{2}\pm\frac{3\sqrt{39 }}{2}[/tex]

Use the positive square root to get a positive time.

[tex]t=9.8675 s[/tex]

The pebble hits the ground after 9.8675 second

2y÷8-2y=-10





pls answer by today​

Answers

Answer:

40/7

Step-by-step explanation:

Answer: y=5.7 approx.

Step-by-step explanation:

2y÷8-2y=-10

follow order of operations and simplify a bit first

2y÷8-2y=-10 becomes 1/4y-2y=-10

you can keep on going

so 1/4y-2y=-10 becomes -7/4y=10

y=5.7 approx.

if x:6as3:9,then x is equal to

Answers

Answer:

x=2

Step-by-step explanation:

x/6=3/9

simplify 3/9 into 1/3

x/6=1/3

cross product

6*1=3x

6=3x

x=6/3=2

x=2

Other Questions
Construct a 98% confidence interval for the population mean, . Assume the population has a normal distribution. A study of 14 car owners showed that their average repair bill was $192 with a standard deviation Round to the nearest cent. Before buying paint from a paint store, Dustin, a college professor, asked the salesperson if the paint could be used safely to paint the inside of his fireplace. The salesperson said that it was heat resistant paint and could be used for that purpose. Which of the following warranties was created by the salesperson's statement? A. An express warranty B. An implied warranty of fitness for a particular purpose C. An implied warranty of merchantability D. Both a and b Let production be given by P = bLK1 where b and are positive and < 1. If the cost of a unit of labor is m and the cost of a unit of capital is n, and the company can spend only p dollars as its total budget, then maximizing the production P is subject to the constraint mL + nK = p. Show that the maximum production occurs when L=p/m and K=(1-)p/n. Kiera is buying the items shown at the rightfor her kitchen. Will $35 be enough to purchase all three items?Explain your reasoning.mixing bowl14.95spatula8.49measuring cups10.75 Given the atomic radius of argon, 0.97 , and knowing that a sphere has a volume of 4r3/3, calculate the fraction of space that Ar atoms occupy in a sample of argon at STP. Express your answer using two significant figures. . PPF Model Assume the Real GDP in this economy is composed of a $3500 b Private Sector and a $1100 b Public Sector after "G" increases by $100 b. A small, initial movement in the PPF Model will be from Point ______ half-way toward Point _____ According to the Fed, what were the major problems during the financial crisis of 2008? Check all that applyThe money supply became less liquid.Consumer spending increased dramaticallyLending and credit stoppedBanks were too easily able to fulfill consumer demands for loans.It was difficult for banks to receive the loans needed to have cash required to function A horizontal force, F1 = 65 N, and a force, F2 = 12.4 N acting at an angle of to the horizontal, are applied to a block of mass m = 3.1 kg. The coefficient of kinetic friction between the block and the surface is k = 0.2. The block is moving to the right.Part (a) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if = 30.t Part (b) Solve numerically for the magnitude of acceleration of the block, a in m/s2, if = 30. Eighteen-year-old Gisela stopped attending her church youth group and Sunday services, and, contrary to her conservative parents' beliefs, became immersed in a liberal political movement. Two months later, she lost interest in the movement and joined a new church. According to Erikson, Gisela is experiencing __________.A) an identity crisisB) inferiorityC) identity foreclosureD) identity diffusion What motivated the U.S. to develop the policy of containment in reaction to the foreign policy of the U.S.S.R.?The U.S. thought that the U.S.S.R. was trying to keep people out of its territory.The U.S. was concerned that the U.S.S.R. was interfering in other countries' political elections.The U.S.S.R. wanted to block all travel between countries in Europe and Asia.The U.S.S.R. was committed to expanding communism into other countries. Marta is 52 years of age and expects to retire from her current employer at age 65. Martas employer contributes $2,000 to a qualified retirement plan for Martas benefit in the current year. How will Martas employer treat the contribution? Cystic fibrosis is a genetic disorder in homozygous recessives that causes death during the teenage years. If 9 in 10,000 newborn babies have the disease, what are the expected frequencies of the dominant (A1) and recessive (A2) alleles according to the HardyWeinberg model? If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 19, 33 and 35 ?A) 33B) 28C) 27D) 24E) 23 Which of the following was a problem with the earlier editions of the Diagnostic and Statistical Manual of Mental Disorders (DSM)?A. The text was cumbersome and clinicians had difficulty using the classification.B. The theoretical assumptions of the criteria had no empirical support.C. The criteria were impressionistic, and also influenced by humanistic theory.D. The descriptions of the disorders were abstract and theoretically based. The articles of confederation gave a president the power to execute laws and veto legislation. True or False What error occurs when you access an array element with an invalid index?Select one: A) A Null Pointer Exception error B) An Array Index Out Of Bounds Exception error C) An Arithmetic Exception error D) A Class Cast Exception error Taylor is a social worker. He is overworked, his caseload is overwhelming, and he no longer believes that what he does on a day-to-day basis has any real impact or improves anyones life. Taylor is probably suffering from ________. On Monday, Merlin buys a tablet for $500 from a Pads & Pods store. On Tuesday, he returns to the store and buys a GPS device for $200. On Wednesday, he downloads $100 worth of tunes from singsong. To be enforceable as a contract, a writing is required for the purchase of 5/6 is equivalent to a percent that is larger than 100%. True or False13 pts. It takes 60 minutes to make 2000 copies on an old copy machine. The newer copier works with the old copier to create 2000 sheets and it only takes 15 minutes. How many minutes would the new copier need to create the 2000 copies on its own?