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sergij07 [2.7K]
2 years ago
11

Insert the appropriate number in the following sentences so that they describe the combination of opposite quantities that resul

t in 0.
A. Joe borrowed $6 from a friend. To get the money to pay back his friend, he can charge his neighbor $ ( ) to walk her dog on Saturday.

B. After 9 holes, a golfer is 3 over par. To finish this round at par, she will have to complete the last 9 holes at ( ) under par.

C. In March 2012, James Cameron, the director of Titanic, dove 11,034 meters into the Mariana Trench inside the Deepsea Challenger. To return to the surface, the Deepsea Challenger had to ascend ( )
meters.

D. A bathtub that is half full has sprung a leak. It is losing 70 mL of water per second. Therefore, the faucet must run at ( )
mL per second in order for the tub to remain half full.

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

give me brainliest first and ill give u the correct anwers

Step-by-step explanation:

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
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Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0

-6x + y\frac{dy}{dt}=0

y\frac{dy}{dt}=6x

\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Which is the required notation.

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3 years ago
What are the first four terms in the sequence Tn=4n+9?
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Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

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Step-by-step explanation:

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Step-by-step explanation:

This represents this equation:

70*x =28

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