Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer 1

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

Find The Equation Of The Normal To The Curve In Y=mx+b Format : P(t) = 3t^2 - 8t + 3 At T = 3

Related Questions

pls answer quickly

This line chart displays marks scored by Carol out of 100 in each subject. Which statement can be concluded from the chart?

A) history is her favorite subject

B) carol scored more in physics than English

C) Carol got the least marks in history

D) Carol scored the highest in math​

Answers

Answer:

D) Carol scored the highest in math.

Step-by-step explanation:

Look at the chart and check each question.

A) history is her favorite subject - Wrong (This is about Marks Obtained, Not Favorite Subjects!)

B) carol scored more in physics than English - Wrong (In Physics, the score is 55 while in English, it is 65!)

C) Carol got the least marks in history - Wrong (History is at 48 while Biology is at 35!)

D) Carol scored the highest in math - Correct (The highest score is 80 which is Math!)

Decimal Addition/Subtraction.

Answers

Answer:

D. 1.175L

Step-by-step explanation:

The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?

Answers

Answer:

34.1°f

Step-by-step explanation:

just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day

In ADEF, m must be true?
Plssss need helpppp

Answers

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

solve the systems of equations using substitution

y = -3x + 5

5x - 4y = -3

Answers

X = 1
y = 2

hope it helps good luck
X=1
Y=2
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
X=1
Y=-3(1)+5
-3+5
Y=2

Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

Answers

Answer:

28

Step-by-step explanation:    20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars

Solve the following:
2x - 7 = x + 3
4 3

Answers

Answer:

x = 10

Step-by-step explanation:

2x - 7 = x + 3

=> 2x - 7 = x + 3

=> x = 10

Therefore, x = 10.

Hoped this helped.

Answer: x=350

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £60 is increased to £89.99.

Answers

Answer:

49.98%

Step-by-step explanation:

Original price: £60

New price: £89.99

The difference in prices: £89.99 - £60 = £29.99

£60 - 100% (the original price)

£29.99 - x  (the % that we want to calculate)

29.99 × 100 = 2999

2999 ÷ 60 = 49,9833333

Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance​

Answers

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?

Answers

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

What if it’s not correct or not ?

Answers

Answer:

what is correct or not

one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot​

Answers

Answer: C. 3 feet

Step-by-step explanation:

1 yard is equivalent to 3 feet.

can y’all help me with this ?

Answers

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

simplify. rewrite the expression in the form 5^n

(5^-8) (5^-10)

Answers

Answer:

5^-18 or 1/(5^18)

Step-by-step explanation:

(5^-8) (5^-10)

= 5^(-8 + -10)

= 5^-18

or 1/(5^18)

Need some help on this one as well haha, answer when you can:)​

Answers

Answer:

250 dollars

Step-by-step explanation:

If the mean of 16‚20‚25 and p is 20.Find the value of p.​

Answers

p=19
do 20x4=80
add 16+20+25=61
80-61=19

For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax?

Answers

Answer:

6

Step-by-step explanation:

19+22 =41256-10=246246-/41=6I hope this helps :)

Need help please please i need help thanks ​

Answers

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

what is the quotient of 5/12 divided by 3/4​

Answers

your answer would be 5/9 or 0.5

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

Help please!!!!…
(It’s slope)

Answers

Answer:

-3; (8, -20)

Step-by-step explanation:

to find the rate of change we do (y2 - y1) / (x2 - x1)

basically we choose 2 points on y and subtract them while using the 2 points on x and subtracting them

after subtracting them we divide change of y by change of x

for this one i chose (3, -5) and (6, -14)

-14 - (-5) = -9

6 - 3 = 3

-9 / 3 = -3

the rate of change is three

to find the y intercept we can use this equation

y = -3x + b

and then plug in things

ill plug in the first set of coordinates

-5 = -3(3) + b

-5 = -9 + b

b = 4

so the y intercept is b

using this equation

y = -3x + 4

we can find out what value y is when the x value is 8

-3(8) + 4 = -20

What does (-4)+8-9+12-(-3)

Answers

10 is the your answer, hope its worth it

You go to a sandwich shop and spend $12.36. You want to leave a 10% tip. What is the tip and what is your total cost?

Answers

what kind od sandwich  cost 12.36 and why would you leave a tip if it cost so much

also just add 12.36 plus 1.84

a line passes through the point -8,-3 and has a slope of -3/2. write an equation

Answers

Answer:

y = -3/2x  - 15

Step-by-step explanation:

Use the slope intercept form  y = mx + b to substitute the slope = -3/2 and the point (-8, -3).

y = mx + b

-3 = -3/2(-8) + b

-3 = 12 + b

-15 = b

y = -3/2x - 15

can you guys help with at least one of these two? Thanks!

Answers

Answer:

1) B. -2 hours per person

2) C. 3.60 per pound

Step-by-step explanation:

1)

We can make a slope triangle connecting the points (4, 12) and (10,0)

We get -12/6, or -2 as our slope & final answer

2)

You can do x/y to find the unit rate for this one, or in this case 18/5 = 3.6

2) Last Friday, Trevon had $17.64.
He received money from mowing
the yard. Trevon now has $32.18
How much money did he receive?

Answers

Answer:

$14.54

Step-by-step explanation:

We use the equation 32.18-17.64 to find our answer of $14.54

Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.

Answers

The equation that can be used to determine the sales price of the bracelets is $22.5

Amount in her account = $150

Amount in her account after sales = $235

Change in account balance = $235 - $150

= $85

cost of necklace = $22.5

let

bracelet = x

necklace = y

The equation:

Total sales = 5x + y

85 = 5x + 22.5

85 - 22.5 = 5x

62.5 = 5x

x = 62.5/5

x = $12.5

Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5

Learn more about equation:

https://brainly.com/question/4916384

connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow

Answers

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

what is the y intercept of the graph with an equation: 2x-6y=18

Answers

Answer:

2X(34.-98) DE LA YOE

Step-by-step explanation:

1/4 5/8 1/2 least to greatest

Answers

Answer:

1/4, 1/2, 5/8

Step-by-step explanation:

1/4, 1/2, 5/8

Answer:

1/4,1/2,5/8

Step-by-step explanation:

because 1/2 is 0.25 and 1/2 is 0.50

Please help! I forgot how to do it

Answers

3*2 probably I’m sorry if it’s wrong
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