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
How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.
Answers
Answer:
8 sides (octagon)
Step-by-step explanation:
sum of exterior angles is always 360º
360 / 45 = 8 sides
Answer:
8 sides
Step-by-step explanation:
If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.
For which of following equations is (-2,-3) not a solution (Will give brainlest plus 33 points)
Answers
Answer:
[tex] - 3x = 4y - 6[/tex]
[tex] - 3( - 2) = 4( - 3) - 6[/tex]
[tex]6 = - 12 - 6[/tex]
[tex]6 = - 18[/tex]
9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min
Answers
Answer:
H= 4cm
we want t
4=2(9-2t)
2=(9-2t)
-7=-2t
t=3.5 minutes
The shaded sector of the circle shown above has an area of 18 pi square feet
Answers
Answer:
F
Step-by-step explanation:
Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)
18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi
ANSWER PLEASE
simplify 2n(n2+2n+3)-3(2n+7) and (-4n2-3n-8)+2(n+9)
Answers
Step-by-step explanation:
> 2n³+4²+6n-6n-21
2n³+4n²-21
> -4n²-3n-8+2n+18
-4n²-3n-8+2n+18
-4n²-n-8+18
-4n²-n+10
What is the percent increase each year for the investment?
Answers
Answer:
11.5%.
Step-by-step explanation:
Looking at the base of the exponent, it can be seen that it is 1.115. 1.00 is equal to 100% of the investment value each year. There is an additional 0.115, which is equivalent to 11.5%, which represents the increase in the investment value each year.
Therefore, the percent increase each year for the investment is 11.5%.
Answer the following (a) find an angle between 0 and 2 that is coterminal with 27/10 (b) find an angle between 0 and 360 That is conterminous with 775
Answers
Answer:
I have no clue sorry my bad bro
Evaluate (mm)(x) for x=-3
Answers
Step-by-step explanation:
Maybe
(m²)(-3)
-3m²
hope it helps
What are factorials? And how do you do them in fractions like
4!5!
——- How do you do that question? And why do you leave
6! The 5! without anything, like why does it not go like
(5)(4)(3)(2)(1)? Why is it like that?
Answers
x + y = −3
y = 2x + 2
Answers
Answer:
Step-by-step explanation:
x + y = −3
y = 2x + 2
Substitute the y value of the second equation into the top equation
x + 2x + 2 = - 3
3x + 2 = - 3
3x = -3 -2
3x = - 5
x = -5/3
x + y = - 3
-5/3 + y = - 3
y = -3 + 5/3
y = -1 1/3
Which of the following equations has roots r = -1, x = -2, and x = 3i?
Answers
The volume of a one is 80 cubic cm what is the volume of the cylinder with the same base and height of the cone
Answers
Answer:
240 cubic cm
Step-by-step explanation:
Volume of a cone = 1/3(nr^2h)
volume of a cylinder = nr^2h
n = 22/7
r = radius
The volume of a cone is 1/3 that of a cylinder
to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3
80 x 3 = 240 cubic cm
Evaluate 1/243 ( base must be 1/9)
PLEASE I NEED THIS FAST!
Answers
Answer:
(1/9)^2 x 1/3
Step-by-step explanation:
1/243
=> 1 / 3 x 3 x 3 x 3 x 3
=> 1 / 9 x 9 x 3
=> (1/9)^2 x 1/3
Please help me with this anyone please and thank you
Answers
Answer:
w∈ {-1/5, -5/3]
If this is what you were looking for...
A science teacher wrote the table of values below.
Amount of Hydrogen vs. pH
Amount of Hydrogen, x
(in moles per liter)
pH, f(x)
One-tenth
1
StartFraction 1 Over 100 EndFraction
2
StartFraction 1 Over 1000 EndFraction
3
StartFraction 1 Over 10,000 EndFraction
4
StartFraction 1 Over 100,000 EndFraction
5
Which function models the data in the table?
f (x) = StartFraction 1 Over x EndFraction, x not-equals 0
f (x) = log StartFraction 1 Over x squared EndFraction, x not-equals 0
f (x) = log StartFraction 1 Over x EndFraction, x not-equals 0
f (x) = StartFraction 1 Over x squared EndFraction, x not-equals 0
Answers
The best function that models the data is f(x) = log StartFraction 1 Over x EndFraction, x not-equals 0
Find the table attached below
From the table shown, we can see that when x = 1/10, f(x) = 1
Similarly when x = 1/100, f(x) = 2
According to the law of logarithm, we can say that:
Log 10 = 1
Log 100 = 2 etc..
Recall that f(x) = 1 when x = 1/10, this means that;
F(x) = log 10
F(x) = log(1/1/10))
F(x) = log(1/x) since x = 1/10
Similarly if f(x) = 2 when x = 1/100
F(x) = log 100
F(x) = log(1/1/100))
F(x) = log(1/x) since x = 1/100 in this case
On a general note, we can conclude that f(x) = 1/x where x is not equal to zero.
Learn more function models at https://brainly.com/question/11989600
Answer:
A
Step-by-step explanation:
The person above said so
f (x) = StartFraction 1 Over x EndFraction, x not-equals 0
Select the equation written in slope intercept form that corresponds to the given slope y intercept
Answers
Answer:
[tex]y = -6x + 1[/tex]
[tex]y = 6x - 2[/tex]
[tex]y = -2x + 4[/tex]
[tex]y = x + 6[/tex]
Step-by-step explanation:
Given
See comment for missing part of the question
Required
The equation in slope intercept form
A linear equation is of the form:
[tex]y = mx + b[/tex]
(a) m = -6, b =1
Using the above format, we have:
[tex]y = -6x + 1[/tex]
(b) m =6, b = -2
[tex]y = 6x - 2[/tex]
(c) m = -2, b = 4
[tex]y = -2x + 4[/tex]
(d) m = 1, b = 6
[tex]y = x + 6[/tex]
What does z represent
Answers
Answer:
not sure what your asking.... is there a file you can submit?
Step-by-step explanation:
The polygons in each pair are similar. find the missing side length
Answers
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
Find the measure of GH. PLEASE HELP ASAP!!
A. 12
B. 10
C. 11
D. 7
Answers
Answer:
10 is the correct answer.
Answer:
10
Step-by-step explanation:
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
What angle does one slice make?
Answers
Answer:
look below bestie
Step-by-step explanation:
ok so i dont know most of it (sryy) but the area of the entire pizza is 535.84in², the radius of the pizza is about 13.05 and yea. thats all i got
what does it mean when x is a constant, in a maths equation
Answers
Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answers
Answer:
152
ΔY = 436 - 132 =304
Δ X = 6-4 = 2
ΔY/X = 304/2 = 152
Step-by-step explanation:
Find the value of ‘m’ in 3m+12=15
Answers
[tex] \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}[/tex]
-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.
3 m+ 12 = 15
⇔3 m= 3
⇔m= 1
Solve the following equation using
distribution.
2 (4x – 12) = 5
(3) (4x) – (*) (12) = 5
2x - 6 = 5
+6
+6
2x = 11
.. i need help asap look at pics please i need this class done completely in two hours
Answers
Answer: 5.5
Step-by-step explanation: It is basically already solved the only thing I did was isolate x by itself my moving the 2 over and doing 11 divided by 2 which equals 5.5. This means that x equals 5.5
find the distance traveled in 27.9 minutes
Answers
Answer:
A
Step-by-step explanation:
d = 0.5 * t There are no conversions. You just substitute the value for t.
d = 0.5 * 27.9
d = 13.95 which is A
find the missing side.
Answers
Answer:
33.4
Step-by-step explanation:
tan50 = x/28
x =28tan50 = 33.3691 = 33.4 (nearest tenth)
Find the real or imaginary solutions by factoring.
X^4 -3x^2 = -2x^2
Answers
Look in the images it is solved.
if a number is added to 3, the result is 10 find the number
Answers
Answer:
7
Step-by-step explanation:
10 minus 3 will give you the number
Answer:
7
Step-by-step explanation:
let the number added to 3 be 'x'
we know;
X+3=10
X=10-3
X=7
Find the slope of the line that passes through (23, -30) and (-7, 18).
Answers
Answer:
slope = - [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)
m = [tex]\frac{18-(-30)}{-7-23}[/tex] = [tex]\frac{18+30}{-30}[/tex] = [tex]\frac{48}{-30}[/tex] = - [tex]\frac{8}{5}[/tex]
A rectangle with an area of 3990 cm2 is x centimeters wide and (x+4) centimeters long. To the nearest tenth of a centimeter, the width and length are
Answers
Answer: width:60.2 cm
Length: 64.2 cm
Step-by-step explanation:
Given
The area of the rectangle is [tex]3990\ cm^2[/tex]
Width of the rectangle is [tex]x\ cm[/tex]
Length of the rectangle is [tex]x+4\ cm[/tex]
Area of the rectangle is the product of length and width
[tex]\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm[/tex]
Width of the rectangle is [tex]60.2\ cm[/tex]
Length of the rectangle is [tex]60.2+4=64.2\ cm[/tex]
