If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
3/4 x 2 5/8 ÷ 2 + 10/12
A recent study showed that players of a certain video game tend to perform better if they take breaks. The study involved analyzing data from 242{,}000242,000242, comma, 000 matches played by 16{,}66516,66516, comma, 665 players of League of Legends, a popular online game. The data showed that players who took regular breaks, on average, performed better than those who did not. What conclusion can they draw from this study
Answer:
There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.
Step-by-step explanation:
Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?
Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).
Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...
solve 2/3 - 6y = - 1 5/6
Answer:
y = 19/36
Step-by-step explanation:
Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:
2/3 + 15/6 = 6y
Then you can sum the fractions on the left by using the same denominators:
4/6 + 15/6 = 6y ==> 19/6 = 6 * y
then you can pass the 6 that is multiplying on the right to the left - now dividing:
y = 19/36
Answer:
y = 5/12
Step-by-step explanation:
2/3 - 6y = -1 5/6 . . . . . given
4 -36y = -11 . . . . . . . . . multiply by 6
15 = 36y . . . . . . . . . . add 36y+11
15/36 = y = 5/12 . . . . divide by 36, reduce the fraction
_____
Check
2/3 -6(5/12) = -1 5/6
4/6 -15/6 = -11/6 . . . . true
Evaluate 4x squared - 8x + 8 when x = -6
Answer:
44
Step-by-step explanation:
√4×-6+8×6+8=2×-6+48+8
-12+48+8
=48
Hey there!
4x^2 - 8x + 8
= 4(-6)^2 - 8(-6) + 8
= 4(6)(6) - 8(-6) + 8
= 4(36) - (-48) + 8
= 144 - (-48) + 8
= 144 + 48 + 8
= 192 + 8
= 200
Therefore, your answer is: 200
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
—
Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3
Answer:
maybe 13
Step-by-step explanation:
Solve the equation: q –10 = -10
Answer:
q=0
Step-by-step explanation:
-----------------------------
q - 10 = - 10
q = 0
<3
Last Friday, Erica earned $51 babysitting for 6 hours. At this rate, how many hours would Erica need to babysit in order to earn $272?
Answer: 32 hours
Step-by-step explanation: 51/6 = 8.5
So, Erica makes 8.5 dollars per hour. 272/8.5 = 32. Thus, Erica will need 32 hours.
Brainliest?
Select the statements which could describe the graph of a nonproportional relationship.
Answer:
what it says iiiiiiii888i888iiiii
How many solutions are there to the equation below?
6x + 33 = 6(x+6)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]6x + 33 = 6(x + 6)[/tex][tex]6x + 33 = 6x + 36[/tex]Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~
Answer:
there are zero solutions
\_(-_-)_/
i asked g o o g l e thats what it said
Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
1.(-4,2)
2.(2,4)
3.(-2,8)
Answer:
(1,2) (0,4) (-4,2)
Step-by-step explanation:
took the quiz and got it right.
HELPPP PLEASE!!!!!!
HELP!!!!!!!
Answer:
4 pounds
Step-by-step explanation:
when you match it on the graph it corresponds to 4
steps
match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4
plz help meeeeeeeeeeeeeeeeeee
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Determine the solution to each system of equations given in the table. Enter your answer in the box provided
Solution
System of Equations
Sy= 2x – 10
y=-3x + 5
Answer:
x=3 and y=-4
(3,-4)
Step-by-step explanation:
I searched it up :/
Answer:
x = 3 and y = -4
Step-by-step explanation:
Solve y = 2x-10 for y:
y=2x-10
Substitute 2x-10 for y in y = -3x+5:
y=-3x+5
2x-10=-3x+5
2x-10+3x=-3x+5+3x (add 3x to both sides)
5x-10=5
5x-10+10=5+10 (add 10 to both sides)
5x=15
5x/5=15/5 (divide both sides by 5)
x = 3
Substitute 3 for x in y = 2x-10:
y=2x-10
y=(2)(3)-10
y=-4 (simplify both sides of the equation.
Therefore your answer is x = 3 and y = -4.
If here are approximately 15000 red cabs in Hong Kong. This represents approximately 80% of the total taxis. Find the total number of taxis in Hong Kong.
Answer: 18,750
Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.
In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual value is $2,000. Company uses straight-line method for depreciation. From 2019, Samsung Ltd measure the machine A by the revaluation model. At 30 June 2019, machine A was revalued to $ 1,400,000. After one year, at 30 June 2020, machine A was revalued to $1,000,000. At 30 June 2021, machine A was revalued to $1,500,000. Required: Prepare the journal entries from 01 July 2016 to 30 June 2021. (using both method for revaluation)
a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:
July 1, 2016 Debit Equipment $1,502,000
Credit Cash $1,502,000
To record the purchase of the machine A.June 30, 2017 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the first year.June 30, 2018 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the second year.June 30, 2019 Debit Accumulated Depreciation $300,000
Credit Revaluation Reserve $300,000
To close the accumulated depreciation to Revaluation Reserve.June 30, 2019 Debit Revaluation Reserve $198,000
Credit Revaluation Surplus $198,000
To record the Revaluation Surplus.June 30, 2020 Debit Revaluation Expense $400,000
Credit Revaluation Reserve $400,000
To record the revaluation loss.June 30, 2021 Debit Revaluation Reserve $500,000
Credit Revaluation Surplus $500,000
To record the revaluation surplus.Data and Calculations:
Cost of machine on July 1, 2016 = $1,502,000
Estimated Residual Value = $2,000
Depreciable amount = $1,500,000
Estimated useful life = 10 years
Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).
Value of Machine at:
June 30, 2019 - $1,400,000
June 30, 2020 = $1,000,000
June 30, 2021 = $1,500,000
Learn more: https://brainly.com/question/19908089
Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form
Answer:
f(x) = (x - 7)(x + 3)(x)(x - 4)
Step-by-step explanation:
It's just like the roots of a quadratic but with more factors
f(x) = (x - 7)(x + 3)(x)(x - 4)
Q4). If the ordered pairs (x+1,5) and (4,x+2y) are equal then find x and y.
Step-by-step explanation:
Given that (x+1,5) = (4,x+2y)
⇛ x+1 = 4 and 5 = x+2y
⇛ x = 4-1
⇛ x = 3
now
5 = x+2y
⇛ 5 = 3+2y
⇛ 5-3 = 2y
⇛ 2 = 2y
⇛ 2y = 2
⇛ y = 2/2
⇛ y = 1
Therefore, x = 2 and y = 1
I need the answer ASAP please, 415 divided by 5
Answer:
83
Step-by-step explanation:
415/5
= 83
what is the slope of the line?
14 yd 2 ft + 9 yd 2 ft
Answer:
24yd 1ft
Step-by-step explanation:
14+9 = 23
2+2 = 4
1yd = 3ft
4ft = 1yd 1ft
Answer:
14 yd 2 ft + 9 yd 2 ft = 73 feet
hope this helps
P(x<=30) = 1- exp ( - 30/3600 * 90) = 1- exp (-0.75)
Answer:
(
≤
3
0
)
=
1
−
(
−
3
0
3
6
0
0
⋅
9
0
)
=
1
−
(
−
0
.
7
5
)
plz help very easy i pormise
Answer:
8/90
Step-by-step explanation:
hope this helps
Answer:
It's 38/45
Step-by-step explanation:
I don't really have a step-by-step explanation. I just looked it up! ;) good luck
Gerald had scores of 83, 95, 92, and 98 on four exams in his algebra class. What score will he need on his fifth exam to have an overall average of 937 (All exams have a
maximum of 100 points.)
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
Read more about palindromes at:
https://brainly.com/question/14076732
(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.
Answer:
its c
Step-by-step explanation:
find 66 2/3 of 900
27 1/2% of 1200
17 1/2% of 1000
33 1/2% of 600
9514 1404 393
Answer:
600330175201 (as written) 200 (if it should be 33 1/3%)Step-by-step explanation:
The easiest way to do these is to make use of your knowledge of the decimal equivalents of fractions and percentages.
66 2/3% of 900 = 2/3 × 900 = 600
27 1/2% of 1200 = 0.275 × 1200 = 330
17 1/2% of 1000 = 0.175 × 1000 = 175 . . . . move the decimal point
33 1/3% of 600 = 1/3 × 600 = 200
or 33 1/2% of 600 = 0.335 × 600 = 201
_____
Additional comment
The repeating decimal for 1/3 is 0.33333.... As a percentage, that is 33 1/3%. Then 2/3 = 66 2/3%.
To change a percentage to a decimal, divide it by 100%.
17.5% = (17.5%)/(100%) = 17.5/100 = 0.175
__
The product 0.275 × 1200 can be rewritten as ...
0.275 × 1200 = 0.275 × 1000 × 1.2 = 275 ×1.2 = 275 + 0.2×275
= 275 +55 = 330
This is a calculation you can do in your head.
__
We suspect a couple of typos in your question. If you mean 66 2/3, not 66 2/3%, then multiply the first answer by 100 to get 60,000.
We have shown answers for both 33 1/2% as your problem says, and 33 1/3%, which would be the more usual fraction.
What is rhe relationship between a centimeter and a meter?
Answer:
A meter is 100x bigger than a centimeter.
Step-by-step explanation:
1 meter = 100 centimeters
Answer:
1metre=100 centimeter
Step-by-step explanation:
that is the relationship between centimeter and metre
need help on the question
Answer:
what's the question?
Step-by-step explanation:
I'd love to help but i don't see a question...