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:
[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]
Related Questions
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
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!
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)
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!
Decimal Addition/Subtraction.
Answers
Answer:
D. 1.175L
Step-by-step explanation:
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
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 :)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
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:)
What does (-4)+8-9+12-(-3)
Answers
10 is the your answer, hope its worth it
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:
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 systems of equations using substitution
y = -3x + 5
5x - 4y = -3
Answers
y = 2
hope it helps good luck
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
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
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
If the mean of 16‚20‚25 and p is 20.Find the value of p.
Answers
do 20x4=80
add 16+20+25=61
80-61=19
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:
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
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.
What if it’s not correct or not ?
Answers
Answer:
what is correct or not
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 !
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
Please help! I forgot how to do it
Answers
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
what is the quotient of 5/12 divided by 3/4
Answers
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
Need some help on this one as well haha, answer when you can:)
Answers
Answer:
250 dollars
Step-by-step explanation:
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.
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
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!)