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
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answers
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Anyone know this answer? Will give brainliest if correct
Answers
Answer:
use photomath
Step-by-step explanation:
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answers
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?
Answers
Answer:
The interest will rack up to $7,200
The total will be $15,200
Step-by-step explanation:
the interest she pays is $7,000
the total amount she pays is $15,200
Jenna borrows $8,000 for college at a simple interest rate of 6%
she has 15 years to pay back the loan and interest
the interest can be calculated as follows
= 6/100 × 8,000
= 0.06 × 8000
= 480
= 480 × 15
= $7200
the total amount she pays can be calculated as follows
= $7200 +$8000
= $15,200
Hence the interest she pays is $7200 and the total amount is $15,200
please see the link below for more information
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Lowest common denominator of 3 5/7 and 4 4/5
Answers
Answer: look at the screenshot
Step-by-step explanation:
it has everything you need
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answers
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
To learn about inequalities' equations solving, refer https://brainly.com/question/11897796?referrer=searchResults
Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10
Answers
Answer:
c. 10, -10
Step-by-step explanation:
10x10=100
-10x-10=100
Answer:C
Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives
Write as an algebraic expression.
1. the sum of m and 8
Answers
Answer: m+8 =
Step-by-step explanation:
Which event leads to Mio regaining her confidence?
A.
She notices a look on her mother's face that helps her feel prepared.
B.
Her brother gives her an encouraging look that boosts her confidence.
C.
She recalls the times when her mother prepared her for the ceremony.
D.
The smell of the matcha tea reminds her that she was always ready.
this is language arts by the way and im in 8th grade
Answers
Answer:
B.
Step-by-step explanation:
It says that when her brother gives her an encouraging look, it boosts her confidence. So, I would assume it'd be that one.
Answer:
C.
She recalls the times when her mother prepared her for the ceremony.
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answers
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answers
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
(x-7)(2x + 1) = 0
Factoring
Answers
Answer:
x=7,x=-1/2
Step-by-step explanation:
so x-7=0 or 2x+1=0
x=7 or 2x=-1
x=7,x=-1/2
if my answer helps please mark as brainliest.
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
X
13
Answers
Answer:
8.31
Step-by-step explanation:
By Pythagoras Theorem,
(10)² + x² = (13)²
=> x² = (13)² - (10)²
=> x² = 169 - 100
=> x² = 69
=> x = [tex]\sqrt{69}[/tex]
=> x ≈ 8.31
Hope it helps :)
Please mark my answer as the brainliest
Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know
that Kyle is wrong.
I need the answer really quickly!!!
Answers
Answer:
The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.
Step-by-step explanation:
Determine the average rate of change from x = 0 to x = 4
Answers
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.
Answers
Answer:
126 = 3x
Step-by-step explanation
HELP ME PLZ !!! IT'S ALGEBRA
Answers
Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.
Answers
Answer:
In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.
Step-by-step explanation:
In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get
505 + 26t = 923 - 12t
-505 + 12t -505 + 12t
38t = 418
t=11
d = 923-12(11) = 791
d = 505+26(11) = 791
After 11 months, selling 791 of each.
Hope this helps.
Answer:
791
Step-by-step explanation:
3(s +1) = 33
What is the value of s?
Answers
Answer: the value would be 3
Step-by-step explanation:
I did the worksheet for math!
Answer: s = 10
Step-by-step explanation:
3(s + 1) = 33
I 3 x s = 3s I 3 x 1 = 3 I
3s + 3 = 33
- 3 - 3
__________
3s = 30
/3 /3
s = 10
Becca solved the division problem 1.8 ÷ 0.3. Her work is shown below. Long division problem showing one and eight-tenths divided by three-tenths equals six-tenths Part A Use the drop-down menus to explain the mistake Becca made. Becca should have the dividend and the divisor by and moved the decimal point in the quotient to the .
Answers
Answer and Step-by-step explanation:
The complete options to choose from in order to explain her mistake are not shown, therefore I'll solve the problem generally.
To solve 1.8/0.3 easily we multiply but numerator and denominator by 10
(1.8*10)/(0.3*10) = 18/3 = 6
The dividend and the divisor should have been multiplied by 10 and the decimal point in the quotient should have been shifted to the right by Becca.
Both the dividend and the divisor must be changed such that there are no decimal places in the divisor before dividing decimals. Becca made a mistake by not taking this change into account.
Becca needed to multiply both the dividend (1.8) and the divisor (0.3) by 10 to get rid of the decimal places in order to divide 1.8 by 0.3 correctly. As a result, the issue would change to 18 3.
When the division is done properly, we see that 18 3 equals 6, leaving no residual.
Therefore, Becca made a mistake by failing to multiply both the dividend and the divisor by 10.
For similar questions on division
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9 strings of lights for $52.65 .how much does one string of lights cost ?
Answers
Answer:$5.85
Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85
Answer:
$5.85. Hope this helped! :')
Step-by-step explanation:
1. Use the algorithm method.
5 . 8 5
9 | 5 2 . 6 5
4 5 .
7 . 6
7 . 2
4 5
4 5
2. Therefore, 52.62 divided by 9=5.85
5.85
factor out the coefficient of 1/2d+6
Answers
Answer:
factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:
1/2 (d+12)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor out a 1/2
[tex]\frac{1}{2}(d+12)[/tex]
Redistribute if you want to check your work
[tex]\frac{d}{2}+\frac{12}{2} =\frac{1}{2}d+6[/tex]
12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14
Answers
Answer:
3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk
helpppppppppppppppppppppppp WILL MARK BRAINLIST
Answers
-(-7)^2 + 8(-7)
= -49 -56
= -105
d. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?
Answers
Answer:
4 minutes left
Step-by-step explanation:
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
We have given that,
Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes.
First, they swam laps,
The pool for 7 minutes.
Then they swam underwater for one minute.
Then they played water polo for 8 minutes.
We have to determine the longer can they stay in the pool.
How many seconds in 1 minute?1 minute =60 second
4 minutes left
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
To learn more about the time visit:
https://brainly.com/question/2854969
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Find the measure of angle b
Answers
Answer:
b = 116⁰
we have:
b + 64⁰ = 180⁰
<=> b = 180⁰ - 64⁰
<=> b = 116⁰
a withdrawal of 225 what is the integer
Answers
Answer:
-225
Step-by-step explanation:
A withdraw means taking out -225 dollars
A car was reduced in price by 13% to £17400 what was original price
Answers
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answers
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49