help with q7 please !!

Help With Q7 Please !!

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]

Now substitute in A=10 and X=3, to find the value of c

[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]

Hence,

[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]


Related Questions

amount of money that is equal to 2 quarters.
1. 5 dimes
2 5 dimes 1 nickel
3.4 dimes
5.4 dimes 1 nickle

Answers

Answer:

1. 5 dimes

Step-by-step explanation:

5 dimes

Two quarters is $0.50.

1. 5 dimes = 5 * $0.10 = $0.50

2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55

3. 4 dimes = 4 * $0.10 = $0.40

5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45

The only amount of money that's equal to $0.50 is 1. 5 dimes

Brainliest if correct

Answers

Answer:

The answer is 21/40

Step-by-step explanation:

Hope that helps!

If A=615.44 ft sq, what is the radius

Answers

I think the radius would be 13.9 ft

PLS ANSWER IT I just need the answer

Answers

The y-intercept is (0,2)

you can find the y-intercept by finding the value of y when x = 0

The slope is -5/2.

you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)

           [tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]

               

Hope that helps!

Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.

What is the minimum number of packages Sandy must purchase to complete her plan?

Select from the drop-down menu to correctly complete the statement.

Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.

options are, 5,6,7,8

Answers

With one package (less actually) she can fill the 48ft^2 of the rectangular area.

How many packages does Sandy need?

We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.

The rectangular region has a surface area of:

A = 8ft*6ft = 48 ft^2

The number of hyacinth bulbs that she can put in that surface is:

N = (48 ft^2/7.8 ft^2) = 6.15

So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

The answer is 7 PACKAGES

Step-by-step explanation:

I took the test!

50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)

Answers

Answer:

Step-by-step explanation:

1)1100=50x22

2)315=15x21

3)2120=40x53

4)170=10x17

5)242=22x11

please rate and mask as brainlest.

URGENT!

7. At what rate was an investment made that obtains $359.80 in interest compounded annually on $668 over five years?


[compound interest rate]

Answers

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

the quotient of m and 7

Answers

the quotient of m and 7 = m/7

Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot units and the hypotenuse measures 2x units. (150StartRoot 3 EndRoot – 75π) ft2 (300 – 75π) ft2 (150StartRoot 3 EndRoot – 25π) ft2 (300 – 25π) ft2.

Answers

The area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex] option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

[tex]\rm A = \frac{3\sqrt{3} }{2} a^2[/tex]  where a is the side length.

[tex]\rm A = \frac{3\sqrt{3} }{2} 10^2[/tex] ⇒ [tex]150\sqrt{3}[/tex] [tex]\rm feet^2[/tex]

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

[tex]\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}[/tex] feet

The area of the circle a = [tex]\pi r^2[/tex]  ⇒ [tex]\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2[/tex]  

The area of the shaded region = A - a

[tex]\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Thus, the area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Learn more about circle here:

brainly.com/question/11833983

Answer:

option A

Step-by-step explanation:

good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

The mayor of a city believes a large park in the city is becoming more popular and wants to expand nature programs at the park. A random sample of 30 summer days are selected and the number of park visitors is determined for each of those days. From this sample, the mean number of visitors was X(xbar) = 98.3 with a standard deviation of Sx = 11.2. Calculate a 99% confidence interval for the true mean number of visitors on summer days. Assume the conditions for inference are met.
a. 95.192 to 101.410 visitors
b. 34.123 to 162.480 visitors
c. 92.664 to 103.940 visitors
d. None of these is correct.

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 99% confidence interval for the true mean number of visitors on summer days is given by:

c. 92.664 to 103.940 visitors

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 30 - 1 = 29 df, is t = 2.756.

The other parameters are given as follows:

[tex]\overline{x} = 98.3, s = 11.2, n = 30[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 98.3 - 2.756\frac{11.2}{\sqrt{30}} = 92.664[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 98.3 + 2.756\frac{11.2}{\sqrt{30}} = 103.94[/tex]

Hence option c is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?

Answers

Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

i dont know how to do this question please help!

Answers

Answer: 1/6

Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.

Answer number 8 please. Thank you.

Answers

Answer:

The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°

A triangle has to add up to 180 so it’s C that’s wrong

A quantity with an initial value of 200 grows continuously at a rate of 4% per second.
What is the value of the quantity after 1.55 minutes, to the nearest hundredth?

Answers

The growth of the quantity is an illustration of an exponential function

The value of the quantity after 1.55 minutes is 76759.22

How to determine the amount of the quantity?

The given parameters are:

Initial value, a = 2000

Rate, r = 4%

An exponential growth function is represented as:

y = a(1 + r)^x

Substitute the value in the equation

y = 2000(1 + 4%)^x

After 1.55 minuted, x = 1.55 * 60

So, we have:

y = 2000(1 + 4%)^(1.55 * 60)

Evaluate the expression

y = 76759.22

Hence, the value of the quantity after 1.55 minutes is 76759.22

Read more about exponential functions at:

brainly.com/question/24077767

Answer:

Step-by-step explanation:

9398.61

Does anyone know the answer to this ?? PLEASE HELP.

No links please, don’t answer if you don’t know it :,)

Answers

Answer:

2,365,200,000 times

Step-by-step explanation:

Given :

Average heartbeat rate = 60 times/minuteAvg. human lifespan = 75 years

To Find :

Number of heartbeats in lifetime of 75 years

Solving :

Let the number we require be nn = average heartbeat rate x 60 x 24 x 365 x 75n = 60 x 60 x 24 x 365 x 75n = 3600 x 24 x 365 x 75n = 86400 x 365 x 75n = 31536000 x 75n = 2,365,200,000 times

A computer valued at $6500 depreciates at a rate of 14
.3% per year. Determine the value of the computer
after 5 years.

Answers

Answer:

A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.

So, 6500(0.857)3 = $4091.25

Solve each pair of simulation equation.Giving both solutions. Multiply both equations by suitable numbers before adding/subtracting to elimination..
A) 6x-7y=9
3x+2y=54



B) 4x -5y =12
2x -3y =8


C)4x -2y=28
3x +3y=12


D)2x +5y =14
13x-11y=-83​

Answers

Answer:

Step-by-step explanation:

I haven't got time to do all these by I'll give you the method in each case.

You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.

A . Multiply  equation 2 by 2 and subtract (to eliminate x)

- don't forget to multiply EACH TERM by 2.

B. Multiply  equation 2 by -2 and add.

C.  Multiply  equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so  you then add to eliminate y.

D.  Multiply equation 1 by 13 and equation  and equation 2 by 2 to eliminate x then add.

Write 16^1/4 as a power then evaluate

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2.  To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16

Please help like right now

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLSS I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 3.8

r = d/2

r = 3.8/2 = 1.9

Formula

V = (4/3) * pi * r^3

Solution

V = (4/3) * 3.14 * 1.9^3

V = 4/3 * 3.14 * 6.859

V = 28.7163

Pls help me
What is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.

3 are cookies
3 are cheesecake
4 are apple pie

Answers

The probability of selecting cheesecake and cookie is 9/100

What is probability?

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Total outcome = 3 + 3 + 4

Total outcome = 10

Pr(selecting cheesecake) = 3/10

Pr(selecting cookie) = 3/10

Pr(selectiing cheesecake and cookie) = 3/10 * 3/10

Pr(selectiing cheesecake and cookie) = 9/100

Hence the probability of selectiing cheesecake and cookie is 9/100

Learn more on probability here: https://brainly.com/question/24756209

Andy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?

Answers

Answer:

A and B

A and C

A and D

B and C

B and D

C and D

in the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5​

Answers

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} [/tex]

Note that

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

The binomial theorem states that

[tex](x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )[/tex]

Using this, we let expand our series

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20} [/tex]

[tex] \frac{1}{ {x}^{5} } = x {}^{ - 5} [/tex]

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

[tex] \binom{10}{7} {x}^{9} 2x {}^{ - 14} [/tex]

Because

[tex] = \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5} [/tex]

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

[tex]120(2) {x}^{ - 5} [/tex]

[tex]240 {x}^{ - 5} [/tex]

So the coeffceint u

is 240

Write any two necessary condition for collinearity. ​

Answers

Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.

There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.

In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.

In other words,

There points A, B and C are collinear if:

(i) AB + BC = AC i.e.,

Or, (ii) AB + AC = BC i.e. ,

Or, AC + BC = AB i.e.,

I need help with this math problem! ​

Answers

Answer:

the value is 120 i think and 2 x-intercepts for the graph of f

Step-by-step explanation:

sorry if it's wrong

I NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8

Answers

Answer:

C

Step-by-step explanation:

Volume = bhd

Volume = (x + 3)(x + 8)(x²)

start with (x + 3) and (x + 8), factor:

x² + 8x + 3x + 24

x² + 11x + 24

now bring x² back:

(x² + 11x + 24)(x²)

x⁴ + 11x³ + 24x²

Write the term to term rule, position-to-term (nth term) and 20thterm of the sequence 3, -1 ,-5, -9, -13 ,....​

Answers

It's a arithmetic sequence

First term=a=3common difference=d=-1-3=-4

Nth term rule:-

[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\Rrightarrow a_n=3+(n-1)-4[/tex]

[tex]\\ \rm\Rrightarrow a_n=3-4n+4[/tex]

[tex]\\ \rm\Rrightarrow a_n=7-4n[/tex]

20th term

[tex]\\ \rm\Rrightarrow a_{20}=7-80=-73[/tex]

Giovanni drops a rock from the Leaning Tower of Pisa in Italy. The height in feet (h) of the falling rock above the ground is
given by the following equation, where t represents the time, in seconds.
h = -16t2 + 186
Approximately how long will it take the rock to reach the ground?

Answers

It would take about 3.4 seconds for the rocks to reach the ground.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the rock above the ground after t seconds. Given the equation:

h = -16t² + 186

The rock would reach the ground at h = 0, hence:

0 = -16t² + 186

16t² = 186

t = 3.4 seconds

It would take about 3.4 seconds for the rocks to reach the ground.

Find out more on equation at: https://brainly.com/question/2972832

Write y – 3 = (x – 6) in standard form.

Answers

Answer:

x-y=3

Step-by-step explanation:

Answer:

[tex]x - y = 3[/tex]

is

[tex]y - 3 = (x - 6)[/tex]

in standard form

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