What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3

Answers

Answer 1

Answer:

336

Step-by-step explanation:

Given the expansion: [tex](7+4x)^3[/tex]

[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]

Therefore, the coefficient of the second term is 336.


Related Questions

Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.



For the first option the numbers are 90,10,5,18,2

Answers

Answer:

minutes needed to add each gallon of water in the pool

Step-by-step explanation:

The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.

which of the following circles lie completely within the fourth quadrant? Check all that apply.

Answers

Answer:

B and D

Step-by-step explanation

Answer:

B and D

Step-by-step explanation:

-4( x^3 + x^2 -3 ) =

Answers

Answer:

[tex]-4x^3-4x^2+12[/tex]

Step-by-step explanation:

Simplify:

[tex]-4x^3-4x^2+12[/tex]

Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5

Answers

Answer:

D 45 is 9 times as many as 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.

How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach?

Answers

Answer:

7.2 liters of water must be added to create a 10% bleach solution.

Step-by-step explanation:

18 liters times 14%, or 18 * 0.14, is 2.52. If we want bleach to be 10% of our solution, we can just multiply this number by 10 because 10% times 10 is 100%!! 2.52 * 10 is 25.2. To find how many liters of water you need to add you just find the difference. To do this you subtract your original from your new solution, so 25.2 - 18 = 7.2 liters of water need to be added.

Answer:

7.2 liters of water must be added to create a 10% bleach solution. :)

Step-by-step explanation:

Simplify expression. Use the distributive property. :)
14-2(4x+3y)

Answers

Explanation:

14-2(4x+3y)
14-8x-6y. Distributive Property

Answer:

14-8x-6y

Answer cannot be simplified more

Point C has coordinate of -4.
What is the distance of point c from zero?​

Answers

The answer will be 4

Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y

Answers

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

Answer:

5(x + y) + 6(x − y)   =   11x − y

(5x − 3y) − x + 3x − 5y  =  7x − 8y

x − 4x + 6y + (14x − 5y)  =  11x + y

3x + 3y + 2(2x − y)  =  7x + y

and there is no match for 4(x + y) − 3(x + y)

Step-by-step explanation:

hope this helps :)

If anyone helps me with these questions I will give them Brainiest

Answers

Answer:

For question 2: the answer is 84 cm

Step-by-step explanation:

The formula for the area of a rhombus/parralelogram is A = bh or base times height.

Answer:

For question 4: the answer is 465 cm

Step-by-step explanation:

The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)

Answer:

For question 5: the answer is 45

Step-by-step explanation:

The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)

Answer:

For question 6: the answer is 180 feet

Step-by-step explanation:

The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.

Answer:

For question: 9 the answer is 21

Step-by-step explanation:

The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.

Answer:

For question 10: the answer is 11.7

Please mark brainliest I worked hard on these questions.


Can someone please help me on these 2 problems thank you Sm!:)

Answers

9: 140
Since 20% or 1/5 of the class played basket ball to find the whole you would multiply by 5 which gives you 140
11: a

Since it’s says and 5 you need to add 5 before you multiply by 6 ( it’s kinda hard to explain)

Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours did they each work? (round answers to 1 decimal place) Amy worked hours Brayden worked hours

Answers

Answer:

Amy worked for 128 hours while Brayden worked for 112 hours

Step-by-step explanation:

Given

Let A represents Amy and B represents Brayden

A = 16 + B ------(1)

A:B = 8:7------- (2)

Required

Find A and B;

Convert (2) to fractions

[tex]\frac{A}{B} = \frac{8}{7}[/tex]

Cross Multiply

[tex]7 * A = 8 * B[/tex]

[tex]7A = 8B[/tex]

Substitute A = 16 + B in the above expression

[tex]7(16 + B) = 8B[/tex]

Open Bracket

[tex]7 * 16 + 7 * B = 8B[/tex]

[tex]112 + 7B = 8B[/tex]

Subtract 7B from both sides

[tex]112 + 7B - 7B = 8B - 7B[/tex]

[tex]112 = B[/tex]

[tex]B = 112[/tex]

Recall that A = 16 + B

Hence, [tex]A = 16 + 112[/tex]

[tex]A = 128[/tex]

This implies that Amy worked for 128 hours while Brayden worked for 112 hours

One batch of cookies takes two and two-fifths cups of milk. How many cups of milk will 25 batches of cookies require?

Answers

Answer:

60 cups.

Step-by-step explanation:

2 x 25 = 50

2/5 x 25 = 10

50 + 10 = 60

A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
year. If the interest received in one year totaled $3000, how much was loaned at 9%?
How much of the $20,000 did the bank loan out at 9%?

Answers

Answer:

The bank loan out at $5000 at 9%

Step-by-step explanation:

A bank loaned out $20,000

Let x be the amount loaned at at the rate of 9% per year

So, 20000-x amount loaned at at the rate of 17% per year

Formula : [tex]A =P(1+r)^t[/tex]

Amount at 9% interest in 1 year

[tex]A=x(1+0.09)^1[/tex]

A=1.09x

Interest = Amount - Principal = 1.09x-x=0.09x

Amount at 17% interest in 1 year

[tex]A=(20000-x)(1+0.17)^1[/tex]

A=1.17(20000-x)

Interest = Amount - Principal = 1.17(20000-x)-(20000-x)

We are given that the interest received in one year totaled $3000

So,1.17(20000-x)-(20000-x)+0.09x=3000

x=5000

So, the bank loan out at $5000 at 9%

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.


What is the slope of a line that is parallel to the graph of 4x +1y = 47

Answers

Answer:

The answer is negative four

Step-by-step explanation:

4x+1y=47 can be simplified to 4x+y=47.

To find the slope, we solve for Y.

Subtract 4x from both sides.

y=47-4x

Then, move it into standard slope formula, which is y=mx+b

y=-4x+47

|x|-13=-3 solve the equation​

Answers

Answer:

[tex]x=10\\x=-10[/tex]

Step-by-step explanation:

[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]

[tex]x=10\\x=-10[/tex]

Answer:

[tex]x=\pm 10[/tex]

Step-by-step explanation:

[tex]\mid x \mid -13=-3[/tex]

Add 13 to both sides:

[tex]\mid x \mid=10[/tex]

[tex]x=\pm 10[/tex]

Hope this helps!

Explain what is wrong with each of the following statements.

a. Seen in a tourist guide: “This state has the largest area of shoreline of any state in the region

b. Seen in a house description: “This house has over 3,200 feet.”

c. Seen in an advertisement: “Spring special: Mulch is only $39/yard.”

Answers

Answer:

See below

Step-by-step explanation:

A. Shoreline isn't measured in area, but amount.

B. Houses aren't measured in feet, but square feet.

C. Mulch isn't sold by the yard, but the pound.

I'm always happy to help :)

question in attachment

Answers

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{8}[/tex] = 1530 and r = 2, thus

[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

Evaluate the expression (x + y ) if x = 4 and y = 2

Answers

Answer:6

Step-by-step explanation:

I feel like we are missing some of the equation, but here goes with what you gave

(x+y)

(4+2)

(6)

Answer:

6

Step-by-step explanation:

if x=4 and y=2 then (x+y) is (4+2)

4 people can paint a house in 6 hours

a)how long will it take 1 person to paint a house

b)how long will it take for 3 people to paint a house

Answers

Answer:

24

8

Step-by-step explanation:

It will take 8 hours for 3 people to paint the house and 24 hrs for 1 person to paint the same house

Ratio and proportion

Fractions are ratio of two integers

If 4 people can paint a house in 6 hours, the time it will take 1 person is expressed as:

Time it will take 1 person = 6(4) =24 hours

Since the number of people is proportional to time:

p = k/t
3 = 24/t
t = 24/3
t = 8hrs

Hence it will take 8 hours for 3 people to paint the house

Learn more on ratio here: https://brainly.com/question/2914376

A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.

Answers

Answer:

25% = (p) 1/4 = picking a number 9.

(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9

This is add rule from the 4 card set.

1/4 + 0 + 0 + 0 = 1/4

Because each (P) is equal and shows (P); 1/4  

there are 1 event so 1/4 + 0= 1/4 = 0.25%

Step-by-step explanation:

0.25 x 100 = 25%

Answer:

25%

Step-by-step explanation:

there are 4 options so there are 25% chance it will be 9


What is the volume of the rectangular prism?
A. 384 cm
6 cm
B. 96 cm3
4 cm
C. 26 cm
16 cm
D. 24 cm

Answers

Answer:B

Step-by-step explanation:

Answer: A: 384cm^3

Step-by-step explanation:

L•W•H=

Workout the value of the largest angle

Answers

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

Using the following image, solve for x.

Answers

Answer:

x=6

Step-by-step explanation:

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

3+x=2x-3 .     Combine like terms

6+x=2x          Add 3 to both sides

x=6                Subtract X from both sides

How do you convert a decimal to a fraction 0.04

Answers

Answer:

0.04=1/25

Step-by-step explanation:

0.04=0.04*100/100=4/100=1/25

Okay so I need help figuring out how to do this table

Answers

Answer:

i think the answer is 125 im not sure

Step-by-step explanation:

y = 5^3 = 125

for 3 i’m pretty sure it’s 125

Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?

Answers

The answer would be 17280

Answer:

he would fart 17280 times in 2 days

Step-by-step explanation:

HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?

1. f(x) is greater than g(x) for all values of x.

2. f(x) and g(x) have the same y-intercept.

3. f(x) and g(x) intersect at two points.

4.f(x) and g(x) have a common x-intercept.

Answers

Answer:  choice 4. f(x) and g(x) have a common x-intercept

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

Explanation:

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

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

Side notes:

Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
The answer is choice 4

HELP!!
Determine if the triangles in the figure are congruent if so right the congruency statement and the reason the triangles are congruent explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Please help. Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1.  Subtract 12 from both sides: −6x − 12 = −4y 2.  Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y

Answers

Answer:

3/2 x +3 = y

Step-by-step explanation:

−6x = 12 − 4y

Subtract 12 from both side

−6x-12 = 12 − 4y-12

-6x -12 = -4y

Divide both side by -4

(-6x -12)/-4 = -4y/-4

-6x/-4  -12/-4  = y

3/2 x +3 = y

Answer:

y = 1.5x + 3

Step-by-step explanation:

= - 6x - 12 = - 4y

(- 6x - 12)/- 4 = - 4y/- 4

1.5x + 3 = y

Hope this helps!

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