100 POINTS PLEASE HELP ON HW

100 POINTS PLEASE HELP ON HW

Answers

Answer 1

Answer:

Solution given:

f(x)=x²

g(x)=x+5

h(x)=4x-6

now

23:

(fog)(x)=f(g(x))=f(x+5)=(x+5)²=+10x+25

24:

(gof)(x)=g(f(x))=g(x²)=+5

25:

(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36

26:

(hof)(x)=h(f(x))=h(x²)=4x²-6

27;

(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1

28:

(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14

Answer 2

Answer:

the answer is 4x - 4

Step-by-step explanation:


Related Questions

Levi makes the minimum salary for actuary. Andres maybe the median salary for cpa. Who makes more money

Answers

Answer:

Andres

why?

Because he is median salary for cpa

2.
The height of a kicked football can be represented by the polynomial - 16+ + 22t+
3, where tis the time in seconds. Find the factored form of the polynomial.
-
5
A) (8t + 3)(-2t + 1)
OB) (-8t+ 3)(2t+ 1)
8
OC) (8t+ 1)(-2t + 3)
OD) (-8t + 1)(2t+ 3)

Answers

The answrr would be 43.8 seconds!!

What is the gradient of the blue line?

5
4
3
2
1
-5 -4 -3 -2 - 1 0 1. 2. 3. 4. 5
- 1
- 2
- 3
- 4
- 5




The line starts at (-5,3) and finishes (5,0.5)​

Answers

Answer:

The gradient is -0.25

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-5,3)[/tex]

[tex](x_2,y_2) = (5,0.5)[/tex]

Required

The gradient (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0.5-3}{5--5}[/tex]

[tex]m = \frac{-2.5}{10}[/tex]

[tex]m = -0.25[/tex]

6. Calculate the area of the octagon in the
figure below.

Answers

Answer:

[tex]41\text{ [units squared]}[/tex]

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

4 triangles (corners)3 rectangles (one in the middle, two on top after you remove triangles)

Formulas:

Area of rectangle with length [tex]l[/tex] and width [tex]w[/tex]: [tex]A=lw[/tex] Area of triangle with base [tex]b[/tex] and height [tex]h[/tex]: [tex]A=\frac{1}{2}bh[/tex]

Area of triangles:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is [tex]A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}[/tex]

The area of all four is then [tex]2\cdot 4=8[/tex] units squared.

Area of rectangles:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of [tex]3\cdot 2=6[/tex] units squared, and the both of them have a total area of [tex]6\cdot 2=12[/tex] units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of [tex]7\cdot 3=21[/tex] units squared.

Therefore, the area of the entire octagon is [tex]8+12+21=\boxed{41\text{ [units squared]}}[/tex]

Select the correct answer.
Which is the simplified form of the expression ?

Answers

Answer:

a)  b^5/12

Step-by-step explanation:

b^2/3 ÷ b^1/4    [if bases are the same then subtract the exponents]

2/3 - 1/4 = 5/12

If you select a random sample of 6 people, what is the probability that all but one of them are using Chrome as their browser? (show all work - use data below)

Use the data provided below:
Chrome: 52.57%
Safari: 31.17%
Firefox: 4.29%
Edge: 2.91%
IE: 2.47%
Samsung: 2.36%

Answers

Answer:

0.1143 = 11.43% probability that all but one of them are using Chrome as their browser

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use Chrome, or they do not. The probability of a person using Chrome is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Chrome: 52.57%

This means that [tex]p = 0.5257[/tex]

Sample of 6 people

This means that [tex]n = 6[/tex]

What is the probability that all but one of them are using Chrome as their browser?

5 using Chrome, so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.5257)^{5}.(1-0.5257)^{1} = 0.1143[/tex]

0.1143 = 11.43% probability that all but one of them are using Chrome as their browser

Know idea how to get an answer to this

Answers

Step-by-step explanation:

k=8.6

i think it is the right answer

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 2), B (negative 4, negative 2), C (negative 1, negative 4). The second triangle has points A prime (1, 2), B prime (4, 2), C prime (1, 4). What rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin?

Answers

9514 1404 393

Answer:

(x, y) ⇒ (-x, -y)180°

Step-by-step explanation:

Each image point has its signs reversed from the pre-image point.

  (x, y) ⇒ (-x, -y) . . . . describes the rotation

Rotation from the third quadrant (A) to the first quadrant (A') is a rotation of 180°.

Answer:

3rd and 2nd option

Step-by-step explanation:

In a right triangle, the lengths of the two legs are 8 cm and 10 cm respectively. Find the hypotenuse of the triangle.
9 cm
10.5 cm
12 cm
12.8 cm

Answers

12.8, pythagorean theorem.

If three sandwiches and two bags of chips cost
$22.00, and two sandwiches and one bag of chips
cost $14.25, how much does a bag of chips cost?

Answers

Answer:

Chips: 1.25 and Sandwiches: 6.5

Step-by-step explanation:

3s+2c=22

2s+c=14.25

The cost of bag and chips should be 1.25 and 6.5.

The calculation is as follows:

3s+2c=22

2s+c=14.25

Here we need to multiply by 2 in equation 2

3s + 2c = 22

2s + 2c = 28.25

s = 6.5

Now

c should be

2(6.5) + c = 14.25

13 +  c = 14.25

c = 1.25

Learn more: brainly.com/question/16911495

The U.S. average for state and local taxes for a family of four is $4172. A random sample of 20 families in a northeastern state indicates that they paid an annual amount of $4560 with a standard deviation of $1590. At α = 0.05, is there sufficient evidence to conclude that they pay more than the national average of $4172?

Answers

Answer:

Calculating p-value from excel  

p-value = 0.144458 (From excel  =T.DIST.RT(1.091,19))  

p-value = 0.144458 > 0.05  

So, we failed to reject the null hypothesis. There is sufficient evidence to conclude that they pay not more than the national average of $4172.

Step-by-step explanation:

Here the given de4tails are,

Hypothesized mean = 4172

Sample Standard deviation = 1590

Sample mean = 4560

Sample size n = 20

Formulation of hypothesis

Can someone answer? Please I tried everything I don’t know how to do this.

Answers

Step-by-step explanation:

-7.2(x-15.6)= -9-7.2x+112.32= -9-7.2x= -9-112.32-7.2x= -121.32x= -121.32/ -7.2x=16.85

hope it helps.stay safe healthy and happy.

please help On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:

The x-coordinate is
The y-coordinate is
.
g The point is in quadrant
.

Answers

Answer:

assuming that you start at the origin (0,0)

(-4,-1) would be the poiny

x coord = -4

y coord = -1

the point is in the 3 quadrant

Step-by-step explanation:

What is the slope of (-1,3) and (3,1)

Answers

Answer:   -1/2

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (1-3)/(3-(-1))

m = (1-3)/(3+1)

m = -2/4

m = -1/2 is the slope

In decimal form, this converts to -0.5, though usually slopes are in fraction form.

On Friday Evelyn sold 9 dresses and 20 pairs of pants. On Saturday she sold twice as many dresses and 10 more pants than Friday. How many dresses did Evelyn sell on Friday and Saturday?

Answers

Answer: 27 Dresses and 50 Pants

Step-by-step explanation:

If she sold 9 pairs of pants and

9 x 2 = 18

18 + 9 = 27

20 + 10 = 30

30 + 20 = 50

Evelyn sold 9 dresses and 20 pairs of pants on Friday, and on Saturday, she sold 18 dresses and 30 pairs of pants.

Evelyn's sales of dresses and pants over two days, Friday and Saturday. We'll use some mathematical expressions and reasoning to find out how many dresses Evelyn sold on each day.

Let's start by assigning some variables to represent the number of dresses and pants Evelyn sold on Friday and Saturday. We'll use "F" for Friday and "S" for Saturday. So, let [tex]D_F[/tex] be the number of dresses sold on Friday, [tex]D_S[/tex] be the number of dresses sold on Saturday, [tex]P_F[/tex] be the number of pants sold on Friday, and [tex]P_S[/tex] be the number of pants sold on Saturday.

According to the problem, on Friday, Evelyn sold 9 dresses, which can be expressed as:

[tex]D_F[/tex] = 9

She also sold 20 pairs of pants on Friday:

[tex]P_F[/tex] = 20

Now, let's move on to Saturday's sales. It says she sold twice as many dresses as Friday, which means the number of dresses on Saturday is double that of Friday's sales:

[tex]D_S = 2 * D_F[/tex]

Additionally, she sold 10 more pairs of pants on Saturday compared to Friday:

[tex]P_S = P_F + 10[/tex]

We already know that [tex]D_F = 9[/tex], so we can find the number of dresses sold on Saturday by substituting this value into the equation for [tex]D_S[/tex]:

[tex]D_S = 2 * 9 = 18[/tex]

Next, we'll calculate the number of pants sold on Saturday using the given information. Since [tex]P_F = 20[/tex], we can find [tex]P_S[/tex]:

[tex]P_S = 20 + 10 = 30[/tex]

So, to summarize, Evelyn sold 9 dresses and 20 pairs of pants on Friday, and on Saturday, she sold 18 dresses and 30 pairs of pants.

To know more about Equation here

https://brainly.com/question/15977368

#SPJ2

Please help !! Only answer if 100% it is correct :)

Answers

Answer:

F(x) moved right 2 units to become G(X).

According to graph transformations, that means G(X) = F(X - 2) = [tex](X-2)^{3}[/tex].

I think that's how you do it :\


Can someone help please ??

Answers

Answer:

x=40

Step-by-step explanation:

In the picture, it seems that angles BHC, CHD, and DHE form a line, 180 degrees. So to solve, set up an equation:

[tex](2x+5)+55+40=180[/tex]

Take off the parentheses and solve.

Subtract 5, 55 and 40 from both sides, or add them together, then subtract.

5+55+40=100

You get:

[tex]2x=80[/tex]

Divide both sides by 2

You get:

[tex][x=40][/tex]

I hope this helps!

A survey was held to find the time taken by students to reach school from
their homes. Each student was asked to choose from 5, 10, 15, 20, or 25
minutes.
Number of
Minutes 5 10 15 20 25
Number of
Students
11
8
2
3
6
What is the mode for the data set?
A. 5 min b. 10 min c. 20 min d. 25 min

Answers

Hello,

in France, the mode is the value having the greater repetition

mode= 5 (repetition=11)

A test taker gets 70 on 1st exam, 80 on 2nd exam, 2/3 of 4/5 of his 2nd exam on his 3rd test. If the professor gives 5 points extra credit on his 4th exam and his average score is 80, what was his score on the 4th exam

Answers

Answer:  127

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

Explanation:

The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.

The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.

Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.

So we have these scores

first exam = 70second exam = 80third exam = 43fourth exam = x+5

Adding up these scores and dividing by 4 will get us the average

(sum of scores)/(number of scores) = average

(70+80+43+x+5)/4 = 80

(x+198)/4 = 80

x+198 = 4*80

x+198 = 320

x = 320 - 198

x = 122

So the student got a score of x+5 = 122+5 = 127 on the fourth exam.

2.According to www.city-data, the mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000. Check the three assumptions associated with the Central Limit Theorem. What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009

Answers

Answer:

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000.

This means that [tex]\mu = 192723, \sigma = 42000[/tex]

Sample of 75:

This means that [tex]n = 75, s = \frac{42000}{\sqrt{75}}[/tex]

What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009?

1 subtracted by the p-value of Z when X = 190000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{190000 - 192723}{\frac{42000}{\sqrt{75}}}[/tex]

[tex]Z = -0.56[/tex]

[tex]Z = -0.56[/tex] has a p-value of 0.2877

1 - 0.2877 = 0.7123

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

8. The point in a distribution below which 75% of the cases lie in the?
A 3rd decile
B. 7th percentile C. 3rd quartile D. 1st quartile​

Answers

Answer:

C. 3rd quartile

Step-by-step explanation:

Percentile:

A data belonging to the xth percentile means that the data is greater than x% of the values of the data-set, and smaller than (100 - x)%.

Point below 75% of the cases lie:

This is the 75th percentile, which is the 3rd quartile, as 75 = 3*100/4. Thus, the correct answer is given by option c.

if a plane can travel 500 miles per hour with wind and 400 miles per hour against the wind find the speed of the plane with out a wind and speed of the wind.​

Answers

Answer: hello there here is your answer:

Still air speed:450 mph.

Step-by-step explanation:

500-450=450-400=50 mph

Still air speed:450 mph. Wind speed:50 mph..

hope this help have a good day

To test for the significance of a regression model involving 3 independent variables and 51 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are _____.

Answers

Answer:

numerator degree of freedom = 3

Denominator degree of freedom = 47

Step-by-step explanation:

The numerator degree of freedom is given by :

p - 1 ; where p = number of predictors ;

p = number of independent variables + 1

Number of independent variables = 3

p = 3 + 1 = 4

Numerator degree of freedom = p - 1 = 4 - 1 = 3

The denominator degree of freedom = n - p ; where n = number of observations

Number of observations, n = 51

Denominator degree of freedom = n - p = 51 - 4 = 47

Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution.

Answers

Answer:

[tex]\bar x = 107.11[/tex]

[tex]\sigma_x = 31.07[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]x: 97\ 178\ 129\ 90\ 75\ 94\ 116\ 100\ 85[/tex]

Solving (a): The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{97+ 178+ 129+ 90+ 75+ 94+ 116+ 100+ 85}{9}[/tex]

[tex]\bar x = \frac{964}{9}[/tex]

[tex]\bar x = 107.11[/tex]

Solving (b): The sample standard deviation

This is calculated as:

[tex]\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

So, we have:

[tex]\sigma_x = \sqrt{\frac{(97 - 107.11)^2 +.............+ (85- 107.11)^2 }{9-1}}[/tex]

[tex]\sigma_x = \sqrt{\frac{7720.8889}{8}}[/tex]

[tex]\sigma_x = \sqrt{965.1111125}[/tex]

[tex]\sigma_x = 31.07[/tex]

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3.

Pls answer this last question in full method​

Answers

Answer:

if the sum of two angles is 90° they are said to be complementary

If one angle is x

the other should be (90 - x)°

so the complementary angle of x is (90 - x)

PRACTICE
Find and circle the verb to be in the text about
Sean Canty.
2 a Practice the verb to be.
5 b
2. We are
1.1
.... at home.
in the classroom.
3. My father ............. at work now.
4. My grandmother ....... alive.
5. It ............. Saturday today.
1. What
2
-
3. Whe
4. How
5. Wha
2h

Answers

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The half-life of a newly discovered radioactive element is 30 seconds. To the nearest tenth of a second, how long will it take for a sample of 9 grams to decay to 0.72 grams

Answers

Answer:

It will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

Step-by-step explanation:

We can write a half-life function to model our function.

A half-life function has the form:

[tex]\displaystyle A=A_0\left(\frac{1}{2}\right)^{t/d}[/tex]

Where A₀ is the initial amount, t is the time that has passes (in this case seconds), d is the half-life, and A is the amount after t seconds.

Since the half-life of the element is 30 seconds, d = 30. Our initial sample has nine grams, so A₀ is 9. Substitute:

[tex]\displaystyle A=9\left(\frac{1}{2}\right)^{t/30}[/tex]

We want to find the time it will take for the element to decay to 0.72 grams. So, we can let A = 0.72 and solve for t:

[tex]\displaystyle 0.72=9\left(\frac{1}{2}\right)^{t/30}[/tex]

Divide both sides by 9:

[tex]\displaystyle 0.08=\left(\frac{1}{2}\right)^{t/30}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln(0.08)=\ln\left(\left(\frac{1}{2}\right)^{t/30}\right)[/tex]

By logarithm properties:

[tex]\displaystyle \ln(0.08)=\frac{t}{30}\ln(0.5)[/tex]

Solve for t:

[tex]\displaystyle t=\frac{30\ln(0.08)}{\ln(0.5)}\approx109.3\text{ seconds}[/tex]

So, it will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

Which of the following is equivalent to the expression log2⁡a=r? 2a = r logr⁡2 = a 2r = a log2⁡r = a

Answers

9514 1404 393

Answer:

  (c)  2^r = a

Step-by-step explanation:

The relationship between log forms and exponential forms is ...

  [tex]\log_2(a)=r\ \Leftrightarrow\ 2^r=a[/tex]

__

Additional comment

I find this easier to remember if I think of a logarithm as being an exponent.

Here, the log is r, so that is the exponent of the base, 2.

This equivalence can also help you remember that the rules of logarithms are very similar to the rules of exponents.

Answer: Choice C)  [tex]2^r = a[/tex]

This is the same as writing 2^r = a

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

Explanation:

Assuming that '2' is the base of the log, then we'd go from [tex]\log_2(a) = r[/tex] to [tex]2^r = a[/tex]

In either equation, the 2 is a base of some kind. It's the base of the log and it's the base of the exponent.

The purpose of logs is to invert exponential operations and help isolate the exponent. A useful phrase to help remember this may be: "if the exponent is in the trees, then we need to log it down".

The general rule is that [tex]\log_b(y) = x[/tex] converts to [tex]y = b^x[/tex] and vice versa.

Solve the system of linear equations below.

6x + 3y = 33
4x + y = 15

A.
x = 2, y = 7
B.
x = -13, y = 7
C.
x = - 2/3, y = 12 2/3
D.
x = 5, y = 1

Answers

Answer:

A. x=2 y=7

Step-by-step explanation:

-12x -3 = 3y

6x + 3y = 33

sooo you add them up...

so its

-6x = -12

x=2

and then you plug in the x value into one of the equations

6x + 3y = 33

6(2) + 3y = 33

12 + 3y = 33

3y = 33 - 12

3y = 21

21/3=7

y=7

Other Questions
What is the significance ofGeneral Grant taking the city ofVicksburg?A. It was the hometown of General StonewallJacksonB. It was the city where the Civil War beganC. It was one of two supply cities for theConfederatesD. It was a port city where all of the Confederatenavy was located The town of Lakehorn is built on a grid system. Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall. Only students who live outside a 5-mile radius from the school are eligible to ride the school bus. Which of the following students are eligible to ride the bus? Select all that apply. Under which conditions is a reaction spontaneous?Edmentum. Help me with the diagram please!!! A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than . Suppose that we suspect otherwise and carry out a hypothesis test. State the null hypothesis and the alternative hypothesis that we would use for this test. What's the answer? Also please tell the steps of the solution. change the following basis to Base 10 134 in base seven How is voice different from point of view? Barbara is admitted to Healthwise Hospital for a procedure. This is her first visit/admission to this facility. She is assigned a new health record number for this first visit. If she is admitted or is seen at this hospital again, she will be assigned a new health record number and her old record will be brought forward and filed under the new number. This method of numbering is called _____ numbering. Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.f(x) = 2x2 - 40 - 6Type the correct answer in each box.Key features:y-intercept: 0,axis of symmetry: z =vertex: ODx-intercepts: (-1,0) and ((,) Solve for x. Round your answer to the nearest tenth if necessary. The Fed threw a lot of money at the financial crisis in 2008 to unfreeze credit markets and encourage economic activity. As part of its effort to keep the interest rate low, the Fed purchased government bonds worth $300 billion between March and September 2009. By October, the Fed held $770 billion in government securities, nearly double its pre-crisis total. Before the crisis, the Fed held mainly government securities, which it used to control the quantity of money in the economy. Now government securities make up just 35% of the Fed's balance sheet.Explain how the Fed uses its government securities to control the nominal interest rate When the Fed purchases government securities, bank reserves ______ and bank deposits ______.A. increase; increase B. decrease; increase C. decrease; decrease D. increase; decrease what was George Whitefield preaching style during the Great Awakening? Which polynomial function has a leading coefficient of 3 and roots 4, I, and 2, all with multiplicity 1? Of(x) = 3(x + 4)(x - 1)(x - 2) O f(x) = (x - 3)(x + 4)(x - 1)(x - 2) f(x) = (x - 3)(x + 4)(x - 1)(x + 1)(x - 2) O f(x) = 3(x + 4)(x - 1)(x + 1)(x - 2) N the house... the family had been living for a decade was finally sold .a) that b) where c) on which d) which True or False: The shape of the production function reflects the law of increasing marginal returns. True False Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form In Seoul, Korea its said that the air pollution is bad and that it shortens peoples lives by a year or so, would this be true for someone who is going to visit only for three months?? Categorize the following logical fallacy.John Bardeen's work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. Hence, it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles.a. Circular reasoning b. False dilemma c. Appeal to consequence d. Ad hominem e. Correlation implies causation Read the sentence.When we read that many of the cereals bursting with sugars were those being marketed to kids, we set out to determine if this was indeed the case.What is the effect of the word bursting on the authors purpose?