Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1
Answers
Answer:
[tex]\frac{dy}{dt}[/tex] = 8
Step-by-step explanation:
Given:
x = x(t) and y = y(t)
Let y = x² + 6
By differentiating the given equation with respect to t,
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]
Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1
[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]
[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]
[tex]\frac{dy}{dt}[/tex] = 8
Related Questions
help me please I don't get it
Answers
So if a house is 22 meters long, a model (like a Lego version) would be how long? The scale they give says 1cm (model length) = 4 meters (real length).
How many measures of 4 meters are in 22?
22/4 = 5 1/2, so the model would be 5.5 or 5 1/2 cm long.
Hope this makes sense.
help me please it’s due today
Answers
Answer: -1/2
Step-by-step explanation:
HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.
Answers
Answer:
B = 114
Step-by-step explanation:
and i answered first
This is a question for geometry and its pretty hard.
Answers
Answer:
m EAD = 56
m EDA = 35
x = 4
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.
2x + 3 = 11
2x = 8
x = 4
Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35
Help me for 25 points !!!! And brainlist!!!!
(Don’t answer if u don’t know cause then i will report you)
Answers
Answer:
its 37° because both the triangle are congruent to each other.
Step-by-step explanation:
i answer ur ans how much i know but please don't report me okay
EXPLANATION:
The scale factor from drawing 1 to drawing 2 is ___ %
Please help! Fill in the blank
I will give brainliest
Answers
Answer:
ghggyffxvbvucfyiyiyxozhlhzguvufcbi8
PLEASE HELP!!!!
Find the length of the missing side. The triangle is not drawn to scale.
100
10
48
Answers
Answer:
10
Step-by-step explanation:
pythagorean theorem
take the sum of the square of each leg and set it equal to the square of the hypotenuse
8² + 6² = x²
64 + 36 = x²
x² = 100
x = [tex]\sqrt{100}[/tex] or 10
Answer:
B.10 units
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem which states that a^2+b^2=c^2
Plug in what we know....
8^2+6^2=c^2
64+36=c^2
c=sqrt(100)
c=10 units or B
An hour before showtime only 105 people have a ride for a concert according to sales 95% of the people have yet to arrive how many tickets were sold for the concert explain
Answers
Given:
An hour before showtime only 105 people have arrived for a concert.
According to sales 95% of the people have yet to arrive.
To find:
The total number of tickets sold.
Solution:
Let x be the total number of tickets sold.
According to sales 95% of the people have yet to arrive.
[tex]100\%-95\%=5\%[/tex]
It means, only 5% people have arrived.
[tex]\dfrac{5}{100}x=105[/tex]
[tex]\dfrac{1}{20}x=105[/tex]
[tex]x=105\times 20[/tex]
[tex]x=2100[/tex]
Therefore, the total 2100 tickets were sold.
Jim drank 2 4/5 cups of orange juice and Jack drank 1 1/10 cups less than Jim. How much juice did jack drink? Explain your answer.
Answers
Answer:
Step-by-step explanation:
2 4/5 - 1 1/10
2 8/10 - 1 1/10
1 7/10 is how much juice Jack drank
Answer:
1 7/10
Step-by-step explanation:
First you should change 4/5 to 8/10 to have a common denominator. Then you just subtract and to get the answer.
answer all question pls
Answers
Step-by-step explanation:
3. Between √9 and √16 or 3 nd 4
5. D
6. 7cubic inches
7. 8/45
8. 0.5 m
9. 4/25
A tepee has a circular floor with a radius of 3 meters. What is the floor's diameter?
Answers
Answer:
6 meters
Step-by-step explanation:
To find diameter if you have radius, multiply the radius by 2. In this case 3 x 2.
Hope it helps!
Step-by-step explanation:
how do i delete this? TwT
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Answers
Answer:
Rotations, Reflections
Step-by-step explanation:
This is going to be our answer because we know that a figure has some kind of rotation.
A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.
So our answer would be Rotations, Reflections!
Hope this helps!
If it is correct please mark as Brainllest!
Have a good Day!
What is the solution to the equation: 37x=9x+4
Answers
Answer: X = 1/7
Step-by-step explanation:
37x = 9x + 4
subtract 9x to both sides
28x = 4
now divide by 28
x = 4/28
simplified its
x = 1/7
Answer:
28x=4
x=1/7
Step-by-step explanation:
First you would make simplyfiy the expression so that you would have x on one side, when you do that you will get 28x=4. When simplyfied you will get 1/7.
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Let K = Kitten and C = Callie the Cat
A) K= 1/2C-3
K+C=18
B) K= 1/2C+3
K-C=18
C) K= 1/2C+3
K= -C+18
D) K= 1/2C-3
C - K=18
Answers
K+C=18
Hope this helps! Have a great day :)
Answer:
A) K=1/2C-3
K+C=18
Step-by-step explanation:
it literally means "harmonious sounding together".
a. sonare
b. sonaire
c. sinfonia
d. sinfona
Answers
Answer:
b sonaire
Step-by-step explanation:
Hope that helps
HELP ASAP PLS
Without using a calculator order the following numbers from least to greatest
8 √58 7
Answers
Answer:
7, √58, 8
Step-by-step explanation:
7 x 7 = 49
8 X 8 = 64
49, 58, 64
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Mathematics.
Applying the simple squares of 7 and 8.
7*7= 49 and 8*8=64
hence square root 58 is more than 7 but less than 8
hence we get as,
[tex]7 < \sqrt{58 } < 8[/tex]
Write as an algebraic expression.
1. the sum of m and 8
Answers
Answer: m+8 =
Step-by-step explanation:
Please simplify I need the extra credit all answers get brainiest.
Answers
Answer:
3/10a^15b^7c^4
Step-by-step explanation:
sorry its kinna hard to explain
Simply 5 sin theta sec theta
Answers
Answer:
d 5 tan theta
Step-by-step explanation:
5 sin theta x 1/cos theta
5 (sin theta/cos theta)
5 tan theta
3x+2.2is equal to x=1.7
Answers
Answer:
7.3 answer
Step-by-step explanation:
x=1.7
now
3x+2.2
3×1.7+2.2
7.3
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answers
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
The triangle represents a scale drawing that was created by using a factor of One-half.
A triangle with sides lengths of 5 inches.
Which is true of the measures of the sides of the original triangle?
Each side of the original triangle is One-half the length of each side of the scale drawing.
Each side of the original triangle is 2 times the length of each side of the scale drawing.
Each side of the original triangle is the same length as each side of the scale drawing.
Each side of the original triangle is 2 inches shorter than the scale drawing.
Answers
9514 1404 393
Answer:
(b) Each side of the original triangle is 2 times the length of each side of the scale drawing.
Step-by-step explanation:
If the smaller is 1/2 the larger, then the larger is 2 times the smaller. The original triangle's sides are 2 times those of the scale drawing.
Explain how feel about trump being impeached a second time this time for the mobs action
Answers
Consider sample data with x = 12 and s = 3. (a) Compute the coefficient of variation. % (b) Compute a 75% Chebyshev interval around the sample mean. Lower Limit Upper Limit
Answers
Answer: a) 25%
b) 75% Chebyshev interval around the sample mean=(6,18)
Step-by-step explanation:
Given: Sample mean: [tex]\overline{x}=12[/tex]
Sample standard deviation: s= 3
a) Coefficient of variation = [tex]\dfrac{s}{\overline{x}}\times100[/tex]
[tex]\\\\=\dfrac{3}{12}\times100\%=\dfrac{100\%}{4}\\\\=25\%[/tex]
b) According to the Chebychev's theorem,
75% of the population lies within 2 standard deviations from the sample mean.
i.e. 75% Chebyshev interval around the sample mean. = [tex](\overline{x}-2s,\ \overline{x}+2s)[/tex]
[tex]=(12-2(3),\ 12+2(3))\\\\=(6, 18)[/tex]
Hence, the 75% Chebyshev interval around the sample mean=(6,18)
Can someone please help me with b c and d?
Answers
Answer:
DO NOT CARE
Step-by-step explanation:
-9.b = 45
b =
What is the answer I need to know the answe
Answers
Answer:
b=-5
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9b
(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)
-9b/-9=45/-9
b=-5
Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____
Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______
Answers
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Therefore you have 3 dimes
A test has multiple choice questions worth 2 points and short answer questions worth 3 points. There are 45 points on the test. Write an equation in standard form that represents this situation using the
variables x and y
Help plz
Answers
x represents multiple choice questions
y represents short answer
you can also write it as 3x+2y=45
in this case, x represents short answer questions and y represents multiple choice.
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
https://brainly.com/question/14198272
#SPJ2
What is the coefficient of the second term of the trinomial? (In other words, what is B?)
(3x − 1)^2 = 9x^2 −Bx + 1
In the blank, write what B equals. Use only numbers - no letters or spaces.
Answers
Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
