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

Help me pleaseeeeeee

Answers

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

The area of a rectangle is 48 square inches. The length is 98 inches. Write an equation that can be used to find the width of the square.

Answers

Answer:

48 = 98x   (where x is the width)

Step-by-step explanation:

Area of a rectangle = length × width

Let x = width

Given:

area = 48 in²length = 98 in

⇒ 48 = 98x

Answer:

x=0.4897599184

Step-by-step explanation:

→Solution,

Area(A)=48 in²

Lenght(l)=98in

Breadth(b)=?

Let the breadth be x.

As we have,

Area of rectangle=l×b

48 in²=98 in × x

48 in²/98 in = x

x=0.4897599184

help me!!Write a function using correct notation that models the value of each car.

Answers

Answer:

[tex]f(x) = 2000 * 1.05^x[/tex]

Step-by-step explanation:

The key to this question is interpreting the graph and then modelling it into an exponential function.

You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)

Now refer to the standard form of an exponential function.

[tex]y = a * b^x[/tex]

Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000

So you got your a value. Sub it into the equation and now you got.

[tex]y = 2000 * b^x[/tex]

You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.

[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]

Now you have your a and b values. Now you can express using a function:

[tex]f(x) = 2000 * 1.05^x[/tex]

Your brand new car costs 16000 dollars. If sales tax is 8%, how much will it truly cost
with sales tax?

Answers

Sales tax amount:-

8% of 16000$0.08(16000)8(160)1280$

Price:-

16000+128017280$

Answer:

$17,280

Step-by-step explanation:

Given

Cost of car = $16,000Sales tax = 8%

Solving :

When sales tax is added to the cost, the final cost will be 8% more than 16,000 or 108% of 16,00016,000 x 1.08$17,280 is the actual price of the car with tax

Write the ratio 2 : 5 in the form of 1 : n ?

Answers

Answer:

1:2.5

Step-by-step explanation:

just divide each side by 2

Line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?

Answers

Step-by-step explanation:

parallel lines have equal slopes

therefore,

line d will have slope -9/2

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which experssion is equivalent to 5(4x+3)-2x

Answers

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

Darin planted 24 packets of seeds in his garden. He planted a combination of bean seeds and corn seeds. If Darin planted 8 packets of bean seeds, which set of steps can be used to find n, the number of packets of corn seeds Darin planted?

Answers

The number of packets of corn seeds Darin planted is 16 packets.

How to write and solve equationTotal packets of seeds = 24Packets of bean seeds = 8Packets of corn seeds = n

The equation:

Total Packets = Bean seeds + corn seeds

24 = 8 + n

subtract 8 from both sides

24 - 8 = n

16 = n

Therefore, the number of packets of corn seeds Darin planted is 16 packets.

Learn more about equation:

https://brainly.com/question/2972832

Answer: 8 + n = 24; n = 16

solve:
. [tex]6q^{2} - 17q + 12[/tex]
. [tex]8s^{2} + 2s - 15[/tex]

Answers

For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;

[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]

[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]

[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]

[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]

Now, turning to the second equation ;

[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]

[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]

[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]

[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

I am assuming you want to factor these expressions.

6q^2 - 17q + 12

We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.

Theses are -9 and -8 so we write:

= 6q^2 - 9q - 8q + 12

= 3q(2q - 3) - 4(2q - 3)

= (3q - 4)(2q - 3)

If you want the solution of this expression = zero they are q = 4/3, 3/2.

8s^2 + 2s - 15

8 * -15 = -120.   -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)

= 8s^2 + 12s - 10s - 15

= 4s(2s + 3) - 5(2s + 3)

= (4s - 5)(2s + 3)

If you want the solution of this expression = zero they are s = 5/4, -3/2.

For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?

Answers

Answer:

169 minutes

Step-by-step explanation:

First, deduct the fee:

22.28 - 2 = 20.28

Change the dollars into cents:

20.28 x 100 = 2028

Then divide the amount by 12 cents:

2028 / 12 = 169.

He rode it for 169 minutes or 2 hours and 49 minutes

Molly read 75 pages of the latest thriller mystery novel in 30 minutes. What was her unit rate?

Answers

The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes

Speed and Rate

Given Data

Number of Pages read = 75 pagesTime taken = 30 minutesRequired = rate

The speed/ rate is defined as the number of pages read per minutes passed

Hence the expression for the unit rate is given as

Unit Rate = Number of pages/Time Taken

Substituting our given Parameters

Unit Rate = 75/30

Unit Rate = 2.5 pages per minutes

Learn more about speed here:

https://brainly.com/question/4931057

Mr. Gates has $52 in his bank account. What will his account balance be after a purchase of $33 and then a deposit of $29?

Answers

Answer:

the answer is 48

Step-by-step explanation:

Type your answer into the box. Butter and flour are mixed in the ratio 2:3. Chris has 640 grams of butter and 880 grams of flour. How much more flour does he need? ​

Answers

Answer:

80 grams

Step-by-step explanation:

since butter & flour are in the ratio 2:3

2/5 = 640

then 3/5 = flour(?)

eliminate 5 since it is common so that

2= 640

3= x

cross multiply

x= 3 /2× 640

= 960

640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3

960-880 = 80

hence 80 more grams of flour are needed.

Please Help! Please!

Answers

Answer:

the answer is 1/2 the first one

Step-by-step explanation:

Because a dice has 6 sides, 3 of the numbers are odd so 3/6 and that is equal to 1/2 when simplified.

What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim

Answers

Answer:

LOWER UPFRONT COSTS

Step-by-step explanation:

you're welcome ;)

Evaluate the function (f-g)(x) for x=6​

Answers

Answer: I think its 8

Step-by-step explanation:

10. deshawn installs a shelf bracket. what is the
widest shelf that will fit without overhang?
explain.

Answers

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

How to calculate the width?

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

Learn more about width on:

https://brainly.com/question/25292087

What is the degree of 9x^3?
9x to the power of 3.

Answers

The largest exponent is the degree.


this only has one exponent so the degree would be 3

someone help me out please Extra points please!

Answers

Answer:

4.2

Step-by-step explanation:

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.


find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Answers

Answer:

[tex]\frac{512}{6561}[/tex]

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

At a jeans factory, a random quality check found 8 pairs defective and 292 pairs with no problems. how many defective pairs can be expected in the inventory of 3,000 pairs of jeans? 80 pairs 82 pairs 292 pairs 375 pairs

Answers

hello!

to solve this equation, you have to find the percentage of defects out of the total amount of jeans. if there are 300 pairs of jeans with 8 faulty pairs, then the percentage of defects would be 2.666(etc). 2.666(etc) percent of 3000 is roughly 80 pairs of defective jeans.

therefore your final answer would be 80 pairs of jeans!

help///////////llllllllll

Answers

Answer:

It is squash

Step-by-step explanation:

This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.

A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. the height of the triangle is 3 inches. what is the area of the composite figure? (8π 6) in.2 (8π 12) in.2 (8π 18) in.2 (8π 24) in.2

Answers

Answer:

37.12

Step-by-step explanation:

Area of a Semi-circle = 3.14 x r to the 2nd power / 2

Area of a Triangle = b x h /2

3.14 times 4 to the 2nd power  divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.

Answer:

(8π + 12) in.2 or B

Step-by-step explanation:

E2020

help? can you figure this out?

Answers

Answer:

C. Is the answer

Step-by-step explanation:

Hope it helps

Find the total amount
$17,600 at 16% compounded
quarterly for 2 years

Answers

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

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A farmer needs to build a goat pen. The pen will be 8 meters wide and 13 meters long. The fencing material costs $5.06 per meter. How much will it cost to buy enough fencing material to build the goat pen?

Answers

Answer: $212.52

Step-by-step explanation:

first we have to find the right equation for the problem. a "pen" is an enclosure for animals that is fenced in, meaning we have to find how much fencing we need.

the question gives us two values, 8 meters wide and 13 meters long. we can infer that this "pen" is in the shape of a rectangle meaning two sides will be 8 meters wide and the two others sides are 13 meters long.

this means we will be finding the perimeter of the pen, which is all the sides of a shape added together. for a rectangle the perimeter you use (lenght+width) *2.

when we add the given values we have (8+13)*2 → 21*2 → 42. we need 42 meters of fencing to complete the "pen."

since each meter of fencing is worth $5.06, we multiply the amount of fencing me need by the cost. 5.06*42= 212.52.

this means the farmer will need to spend $212.52 in order to make his goat pen with a perimeter of 42 meters.

Help find tqs I’ll give brainlist

Answers

Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it

Answers

Can u help me I posted a question with picture xx

Answer:

1.) you're going to subtract 4 from 46

46-4= 42

7x=42

Then you divide 7 from 42 and get 6..........x=6

2.) you're going to do the same thing for this one

17-9=8

4x=8

8÷4=2

x=2

3.) you're going to do the same thing

1-1=0

2x=0

0÷2=0

x=0

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Solve for b
SOLVE ASAP!!

Answers

Answer:

Step-by-step explanation:

<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.

When that happens <A = <B

8x + 78 = 2x + 114                      Subtract 2x from both sides.

8x - 2x + 78 = 2x - 2x + 114       Combine

6x + 78 = 114                              Subtract 78 from both sides

6x + 78 - 78 = 114 - 78

6x = 36                                       Divide by 6

6x/6 = 36/6

x = 6

I think you are asked for B

<B = 2x + 114

<B = 2*6 + 114

<B = 12 + 114

<B = 126

Please answer 26. Thank you.

Answers

A=2(wl+hl+hw)

Plug in the variables in the formula.

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