The volume of right circular cylinder a is 22 cubic centimeters. what is the volume, in cubic centimeters with twice the radius and half the height?

Answers

Answer 1
we know that
 [volume of right circular cylinder]=pi*r²*h
Vo=pi*r²*h--------------> original volume
Vo= 22 cm³

if twice the radius and half the height
r1=2*r
h1=h/2

then
V1=pi*ri²*h1
substituting
V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h
V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³

the answer is 44 cm³


Answer 2
Final answer:

To find the volume of the new cylinder with twice the radius and half the height, use the formula for the volume of a cylinder and substitute the new values. The volume of the new cylinder is also 22 cubic centimeters.

Explanation:

To find the volume of the new cylinder with twice the radius and half the height, we can use the formula for the volume of a cylinder: V = πr2h.

First, we double the radius of the original cylinder. Let's say the original radius is r. The new radius would be 2r.

Next, we halve the height of the original cylinder. Let's say the original height is h. The new height would be h/2.

Substituting these values into the volume formula, we get the volume of the new cylinder as V = π(2r)2(h/2)=4πr2(h/2)=2πr2h.

So, the volume of the new cylinder is also 22 cubic centimeters.

Learn more about Finding the volume of a cylinder here:

https://brainly.com/question/32444186

#SPJ3


Related Questions

How to estimate the square root of a number that is not a perfect square?

Answers

To estimate the square root of a number that is not a perfect square, you would find the perfect squares that the number is between and you know the square roots of those, so the answer will be somewhere between them. The closer you are to the number below the number you are estimating for, the smaller the decimal (_.1, _.2, etc.) and then it is opposite as you get closer to the number above the number you are estimating for.

Use systems of equations to solve the problem.

A farmer raises wheat and oats on 180 acres. She plants wheat on 20 more acres than she plants oats on. How many acres of each crop does the farmer plants?

Answers

x + y = 180
Y = wheat, x = oats
Y = x + 20. In the 1st equation, get y by itself getting y = 180 - x.
So 180 - x = x + 20. Subtract x on both sides to get 180 - 2x is 20. Subtract 180 to both sides is -2x = -160. Divide -2 to both sides is x = 80. So 80 + 20 is 100 wheat, and 80 oats of acres.
180-20=160÷2=80
80 acres oats
100 acres wheat

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.

Answers

8k ^ 3 + 26k ^ 2 + 6k
 For this case, the first thing you should do is rewrite the expression.
 We have then:
 Step 1:
 Take out common factor.
 8k ^ 3 + 26k ^ 2 + 6k
 2k * (4k ^ 2 + 13k + 3)
 Step 2:
 Factor quadratic expression.
 2k * (4k ^ 2 + 13k + 3)
 2k * (4k + 1) * (k + 3)
 Answer:
 to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
 2k * (4k + 1) * (k + 3)

Solve the equation using square roots. x2 + 10 = 9

A. Plus or minus the square root of 1.

B. no real number solutions

C. 1

D. –1


Answers

[tex] x^2 + 10 = 9 [/tex]

Subtract 10 from both sides.

[tex] x^2 = -1 [/tex]

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: B. no real number solutions

Answer:

no real number solutions

Step-by-step explanation:

A quadrilateral has angles that measure 71°, 74°, 113°, and x°. What is the measure of x?

Answers

The answer would be 360 minus 258 because 71 plus 74 and 113 is 258 and you have to minus that by 360



Bascially for answer 360-258
IT would be 360-258 that is the answer to your question

50 POINTS PLEASE HELP show work answer all 3

Answers

Answer:

b.) The graph's x-intercepts are similar to ½(x - 5)(x + 2).

a.) [-2, 0], [5, 0]

__________________________________________________________

b.) The graph has a maximum value because the graph opens down [-2 = A].

a.) [-3, -4]

__________________________________________________________

d) [0, -5]

c) -2 = x

b) [-2, -9] → [h, k]

a) -1, 5 = x

Explanation:

b) Both graphs have the binomial of [x - 5][x + 2], so the x-intercepts never altered.

a) Set the binomial equal to zero, and you will get your x-intercepts of [-2, 0] and [5, 0].

__________________________________________________________

b) When A is negative, your graph will have a maximum value [opens down], whereas when A is positive, your graph will have a minimum value [opens up].

a) According to the Vertex Formula, y = A[X - H]² + K, [H, K] represents the vertex, plus, -H gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL labeling your vertex. Additionally, K gives you the NORMAL TERMS.

__________________________________________________________

d) The y-intercept is your C-term, so in this case, it is [0, -5].

c) To find the axis of symmetry, use this formula:

[tex] \frac{-b}{2a} = x[/tex]

Whatever the opposite of your B-term is, you take that and divide it by twice your A-term.

b) To find the vertex, in this case, you have to go from Standard Form to Vertex Form by completing the square, using this formula to get part of your new C-term:

[tex][\frac{b}{2}]^{2} [/tex]

When done, you get this:

[tex]y = {x}^{2} + 4x + 4 \\ \\ y = [x + 2]^{2} [/tex]

Then, you have to deduct some number from 4 that gave you -5 in the first place, and that integer is -9. So, here is the result:

[tex]y = [x + 2]^{2} - 9[/tex]

From here, we can see that our vertex is [-2, -9].

a) When the binomial is set to equal to zero, you get this:

[tex]{x}^{2} + 4x - 5 \\ \\ [x - 1][x + 5] = 0 \\ \\ 1, \: -5 = x[/tex]

e) See above photograph

I am joyous to assist you anytime.

The current San Francisco cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270°on each sheave. Find the length of cable riding on one of the drive sheaves at any given time.

Answers

The length of an arc is given by (θ/360)2πr, where θ is the angle subtended by the arc at the center and r is the radius.
The angle θ in this case is 270°, while the radius is 7 feet, diameter is 14 feet
Thus the length of the of the cable will be;
=(270/360)× 22/7×14
= 0.75 × 44
= 33 feet

Answer:

The length of the cable is around 32.97 feet.

Step-by-step explanation:

The problem is about a circular sector, where the angle is 270° and the lenght of the subtended arc is the arc is the unknown variable.

The radius of the drive wheel is

[tex]r=\frac{d}{2}=\frac{14}{2}=7ft[/tex]

The central angle is 270°.

The length of the arc is

[tex]L=\frac{2\pi r \theta}{360\°}[/tex]

Replacing all values, we have

[tex]L=\frac{2(3.14)(7)(270\°)}{360\°}=\frac{11869.2}{360} \approx 32.97[/tex]

Thereofre, the length of the cable is around 32.97 feet.

helpppppppppppppppppppppppp

Answers

Answer:
1 / 4x

Explanation:
(4x^3) * (2x)^-4 = 4x^3 * 2^-4 * x^-4
                         = (4x^3) / (2^4 * x^4)
                         = (1/4) * (1/x)
                         = 1 / 4x

Hope this helps :)
First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1

marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 a pound. what equation can you use to find the price per pound of the trail mix?

Answers

let
x-------------> pounds of granola-----------> $3 per pound
y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per pounds of the trail mix

we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=0.75 pounds of raisins
z=3*3+2*0.75=$10.5 of trail mix

It's B on edg. 3(3) + 0.75(2) = (3 + 0.75)x

Which of the following best explains why one graph appears skewed and one graph appears symmetric?



The intervals on the x-axis of the histogram are too large.

The interval on the y-axis of the histogram is too small.

The interval on the x-axis of the histogram is inconsistent.

The interval on the box-and-whisker plot is too small.

Answers

Hello there!

The interval on the X-Axis of the Histogram is inconsistent:

An Histogram is a graphic representation of the frequency of values. It should include all the data range on the x-axis. In this case, the x-Axis should include all intervals from 0 to 24 years, but in the graph the intervals "jump" from 10-14 to 20-24.

This inconsistency causes the difference between the two graphics because the two of them should be skewed to the left, according to the age distribution.  

Answer:

The interval on the X-Axis of the Histogram is inconsistent

Step-by-step explanation:

edge

The sum of three numbers is 12. The first number is the difference of the other two numbers. When you add the other two numbers and subtract 8, the result will be the first number. Find the numbers.

2, 4, 6

2, 5, 5

3, 7, 2

5, 10, -3

Answers

The first group of numbers: 2, 4, 6

One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. determine the length of the other leg.
a. 9 inches
b. 13 inches
c. 15 inches
d. 17 inches

Answers

the length of the other leg is 15 inches

Mrs. Smith and her daughter Laura want to learn ballet. The cost of beginning ballet classes for kids is $3,200 per year, and it increases by 2% every year. The cost of beginning ballet classes for adults is $4,800 per year, and it increases by 2.7% per year. Which function can Mrs. Smith use to determine the total cost of their ballet classes, T(x), after x years?

Answers

We will set up two functions to begin with:  C(x) for children and A(x) for adults.  T(x) will be the total, and T(x) = C(x) + A(x).
Since it increases by a percentage every year we will use an exponential function.
C(x) = 3200(1+0.02)ˣ.  This comes from the $3200 for the first year, and 2% increase every year is 0.02.  Add this to 1 because we have all of the first year's cost, 100%, and the additional 2%.
A(x) = 4800(1+0.027)ˣ.  This comes from the $4800 for the first year, and 2.7% increase every year is 0.027.  Add this to 1 because we have 100% of the first year's cost with an additional 2.7%.
T(x) = 3200(1+0.02)ˣ+4800(1+0.027)ˣ=3200(1.02)ˣ+4800(1.027)ˣ

8- 2 to the root of 4+8*2^3-(3+14-5)/12
I don't know if this makes sense but I need help with it.

Answers

[tex] 8-2^{ \sqrt{4}} +8 \times 2^{3} -\frac{3+14-5}{12} [/tex]
[tex] = 8 -2^{2} +8 \times 8 -\frac{12}{12} [/tex]
[tex] = 8-4+64-1 = 67 [/tex]

You earn $10 a week for doing chores, and you have just been paid for completing eight weeks of chores. If you were paid $8 a week doing chores, how many weeks would it take to earn the same amount of money? weeks

Answers

10 weeks, 8 times 10 is 80
It would take 10 weeks.

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. if field has a length that is twice its width, find the area of the field in square meters. ________________________________________

Answers

12 km ...................1h
12:2=6 km..............30 min

6000 m :10=600 m (the perimeter)

600m= 2(l+w)=2(2w+w)=2*3w=6w
⇒ w=600:6
    w=100m
    l=2*100=200m
A=w*l=200*100=20.000 m^2

What is the sum of a 6-term geometric series if the first term is 23 and the last term is 1,358,127? 1,395,030 1,461,460 1,527,890?

Answers

The common ratio is (1358127/23)^(1/5) = 9.
The sum of 6 terms is
.. 23*(9^6 -1)/(9 -1) = 1,527,890 . . . . . . . . . . selection 3

Answer:

Last term is 1,527,890.

Step-by-step explanation:

In this question a geometric series has been given  with

first term A = 23

6th term     = 1,358,127

Number of terms n = 6

we have to calculate the sum of this geometric series

we know [tex]T_{n}=a(r)^{n-1}[/tex]

[tex]T_{6}=23.(r)^{6-1}=1358,127[/tex]

[tex]r^{5}=\frac{1358127}{23}=59049[/tex]

[tex]r = 59049^{\frac{1}{5} }[/tex]

r = 9

Now we know the formula to sum a geometric series is

[tex]S=a.\frac{r^{n-1} }{r-1}[/tex]

S = 23 × [tex]\frac{(9^{6-1)} }{(9-1)}[/tex]

S = 23 × [tex]\frac{(531441-1)}{8}[/tex]

S = [tex]\frac{23.(531440)}{8}[/tex] = 23 × 66430

S = 1,527,890

 

The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Answers

396 square millimeters

Answer:396

Step-by-step explanation:


Graph the following inequality and then select the correct graph below.

x - y - 2 ≥ 0

Answers

Answer:

Second graph

Step-by-step explanation:

Given inequality,

x - y - 2 ≥ 0

⇒ x - y ≥ 2

The related equation of the inequality,

x - y = 2

Having x-intercept = (2, 0)

y-intercept = (0,-2),

Also, 0 - 0 ≥ 2 ( False )

Thus, the inequality will not contain the origin,

Again,

'≥' shows the solid line.

Hence, by the above explanation it is clear that the SECOND graph would be the graph of given inequality.

Are elite runners thinner than the average person? Devon thinks that skin thickness of elite runners is thinner than the average person. He compares a data set of elite runners to regular people by looking at the skin thickness. Which statement correctly compares the two groups?
A) The skin thickness of the elite runners varied by about 11 mm.
B) The skin thickness of the average person varied by about 11 mm.
C) The skin thickness of elite runners is on average about 11 mm thinner than that of the average person.
D) The skin thickness of the average person is on average about 11 mm thinner than that of the elite person.

Answers

The answer is C.
I hope it's right!!!!

Answer:

c is the answer

Step-by-step explanation:

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans

Answers

For this case we can define the following variables:
 x: shirt
 y: jeans
 We write the following system of equations:
 12x + 28y = 3900
 8.4x + 35y = 3885
 We solve the system of equations:
 x = 150
 y = 75
 Note: see attached image for the solution of the system:
 Answer:
 she bougth from the wholesalers
 150 shirts
 75 jeans

Answer:

The correct answer would be:

Step-by-step explanation:

150-shirts

75-jeans

Which graph represents the function?

Answers

photomath is good for this type of thing
f(x) is undefined for x = -7. Simplifying it does not change that.

f(x) = (x +7)(x -7)/(x +7)
f(x) = x -7 . . . . . . . . . . . . . . x ≠ -7

The graph will be a line with a slope of 1 and a y-intercept of -7. It will have a "hole" at (-7, -14).

The lower-left selection is appropriate.

Can someone please help me I would appreciate it please!?!
I well mark brainliest if its explained and right.

Answers

The answer is:  " 471 cm² " .
_____________________________________________________
The formula for the surface area, "S.A.", of a "cylinder":

S.A. =  2 π r² + 2 π r h ; 

in which:

"S.A." = "surface area" of the cylinder; for which we wish to solve; 

 π = 3.14 (approximation we shall use) ;

  r = radius = 5 cm (given; from figure); 

  h = height = 2 cm (given; from figure);
______________________________________
To solve for the surface area, "S.A." . let us plug in our known values, and solve:


S.A. =  2 π r²   +    2 π r h  ; 


S.A. = 2 * (3.14) * (5 cm)²  +  2 * (3.14) * (5 cm) * 10 cm)  ;

        = 2 * (3.14) * (5²) * (cm²)   +    2 * (3.14) * 5* 10 * cm² ;

        = 2 * (3.14) * (25) * (cm²)  +    2 * (3.14) * 5* 10 * cm²  ;

        = 157 cm²  +  314 cm²  ;

        =  471 cm² .
________________________________________________
The answer is:  " 471 cm² " .
________________________________________________

The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.

Which statement describes a method that will help the marketing department accurately estimate this percentage?

A)Select the store’s first 20 customers every day for one week, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

B)Take a random sample of adults at the local park, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

C)Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.

D)Take a random sample of the store’s adult customers, and ask what percentage of their friends belong to a gym. Calculate the mean of the responses.

Answers

A) If you only sample people in a sports supply store, your sample will be biased.  People in a sports supply store are more likely to be people that belong to a gym.
B) While it does not have necessarily the same amount of bias as sampling people in the sports supply store, people that go to a park are generally more likely to be people that exercise or have a gym membership.
C) Taking a random sample of people in town is a good way to get a non-biased sample.  They are not necessarily predisposed to answer your question one way or another.
D) For the same reason as choice A, this is a biased sample.

C is the best choice.


Simplify the expression.


A) –24n + 8mn – 100np

B) –6n – 2mn + 25np

C) –6n + 2m – 25np

D) –6n + 2mn – 25np

Answers

it is D because
-24 /4n will equal -6n because the n won't go away

8m/4n will equal 2mn because you can always have two variables on one number and the n is not going anywhere

-100p/ 4n will equal -25np because of the same reason as the upper one.

so -6n + 2mn -25np is the simplified expression
The correct answer is d

Solve the system of equations using the substitution method.

{4x+5y=7
{y=3x+9



Enter your answers in the boxes.

x=


y=

Answers

        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3

Describe the number and type of roots for the polynomial (how many real and complex?). x3 + 5x2 – 4x – 2 = 0

Answers

Descartes' rule of signs tells you the one sign change in the coefficients means there's one positive real root. If you change the sign of the odd-power terms, the signs become -++-, so have two sign changes. This means there are 0 or 2 negative real roots.

A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.

I need help on how to convert the radian into degrees for 7pi/10 !!

Answers

Each pi has 180° in it. So, if you multiply:
[tex] \frac{7}{10} \pi * \frac{180}{\pi}= 126 [/tex]

We divide by pi to get rid of it because we want the answer in degrees:
So your answer is 126°.

(Please Answer Quickly)
Algebra 2 Question! I will make sure to give a medal and pin the most helpful answer!

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. The equation for this parabola is y = -x^2 + 36. (Graph of a parabola opening down at the vertex (0,36) crossing the x–axis at (-6,0) and (6,0))
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
 Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created with your table positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice.


Answers

For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    


"What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
[tex]y=a x^{2} +b[/tex]
Depending on sign of [tex] x^{2} [/tex] the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-[tex] x^{2} [/tex]+36
[tex] x^{2} =36 \\ x_{1} =-6 \\ x_{2} =6[/tex]

"Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x ∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

Anita brings 6 dolls to her grandmas house. These dolls represent 20% of Anita's doll collection. What is the total number of dolls in Anita's dolls collection?

Answers

let's x be the total of dolls
6=20%*x
6=20/100 *x
6*100/20=x
30=x

the total number of dolls is 30

Answer:

30 is your answer

Step-by-step explanation:

Other Questions
what steps are involved in creating hydroelectric power? If BE is parallel to CD, the. The value of x is: A. 10B. 6C. 9 Ten million people became (blank) after India was partitioned. A person who follows the teachings of Confucius would most likely believe that....1 there is life after death2 one supreme being created the world 3 people should live in harmony by keeping correct relationships 4 the government should not be involved in the lives of the people Read the paragraph. Carefully maneuvering his skateboard through the neighborhood, Gino headed to the community center. He was meeting his friends there to study for a Spanish test. His notebook and textbook were in a cinch sack on his back, and he wore headphones to listen to music on the way. What Gino did not know was that his friends had decided to have a small party to celebrate his upcoming birthday. They arrived before him and anxiously waited with a cake and cards. Meanwhile, Gino rounded the last turn, nodding his head in time with the music while thinking about Spanish vocabulary. Based on the evidence provided in the paragraph, what is the best prediction? Gino will earn a good grade on his Spanish test. Gino will be unable to find the community center. Gino will be surprised by his friends plans. Gino will play music for his friends. I need to know questions b & c regarding the political cartoon the only way we can save her Write two to three sentences explaining the similarities and differences between the haiku by Bash and the first stanza of Wordsworth's "I Wandered Lonely as a Cloud." Consider each poems structure and use of motifs.Sample Response: Both poems try to capture a single moment, and they describe an experience in the natural world. Both poems use the motif of flowers. The poems have very different structures, however: the haiku is only three lines long, while Wordsworth's poem is longer and uses rhyme. Which of the following best describes Andrew Jackson's view of federal government?A.He felt that the federal government should be able to control state finances.B.He felt that state government should be able to control economic activity.C.He did not think that involvement by federal government was in issue in the United States.D.He did not think that the states could manage their own matter and must be overseen by the federal government. Given that f(x) = x2 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5. (1 point) Read the beginning of Trevors narrative. Thinking back on that afternoon, I knew then that my best friend was keeping something from me. If I thought about itI mean, really thought about itthere had been other signs. They may have been subtle, but they had been there, nonetheless. Trevor decides not to tell his story in chronological order. What is the most likely reason Trevor chose to begin his story in this way? to eliminate the need to include events that occurred before this statement to clarify potential confusion for the reader by clearly stating the conflict to capture the readers attention by creating suspense about his best friend to explain why he no longer trusts the words and actions of his best friend If the compound has a molar mass of 156 g/mol, what is its molecular formula? Massachusetts bay colony was free of royal supervision. a. True b. False In The Odyssey, what can you infer the lotus plant to be?A There was nothing wrong with the lotus plant; it was the water around the island that bothered the lotus-eaters.B A plant that had a narcotic effect and drugged its eaters.C A plant that caused amnesia.D A plant that caused people to become energized. What do you think will happen when you leave the paper in the container overnight? In the modern political system, which of the following statements accurately portrays a major disagreement between Democrats and Republicans? Which ethical rule below is combined with its proper description? A grassland is a region where the annual precipitation is _______________________________________________________________ 8j -k+148jk+148, j, minus, k, plus, 14 when j=0.25j=0.25j, equals, 0, point, 25 and k=1k=1 Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?