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4 years ago

Your friend asks you to help him study and will pay you 5

Mathematics

1 answer:

algol [13]4 years ago

8 0

Answer:

My payment for the 7th study session will be 78125 dimes.

Step-by-step explanation:

My friend will pay me 5 dimes for helping him study for the first time.

Now, I agree to help him if he multiplies my payment by 5 for each study session.

So, he will pay 25 dimes for the 2nd study session, 125 dimes for the 3rd study session and so on.

Hence, my payment in each study session increases in geometric progression as follows:

5, 25, 125, ........ so on.

So, the 7th term of this series indicates the number of dimes that my friend pays me after the 7th study session.

This is a G.P. series having first term 5 and common ratio 5, then the 7th term will be $5\times 5^{(7 - 1)} = 5^{7} = 78125$

Therefore, my payment for the 7th study session will be 78125 dimes. (Answer)

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Please help best answer gets brainliest

timama [110]

Gavin and his 3 friends total 4 people. If they are to share equally in the 1/3 pound of cake, they must

... divide 1/3 by 4, or multiply 1/3 by 1/4. Therefore each friend gets 1/12 of cake.

7 0

4 years ago

a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b If necessary, use t

WINSTONCH [101]

Answer:

\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx

Step-by-step explanation:

Arc length is calculated by dividing the arcs in to small segments ds

By pythagoren theorem

$ds^2=dx^2+dy^2$

then integrate ds to get arc length.

We are given a function as

y = sin 2x in the interval [0, pi/2]

To find arc length in the interval

Arc length $s =\int\limits^{\pi/2} _0 {1+y'^2} \, dx \\=\int\limits^{\pi/2} _0 (1+4cos^{2} (2x) )dx$

Hence arc length would be

B) $\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx$

6 0

3 years ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

sergey [27]

Answer:

y = x⁴ − 9x² − 50x − 150

Step-by-step explanation:

Complex roots come in conjugate pairs. So if -1 + 3i is a root, then -1 − 3i is also a root.

y = (x − 5) (x + 3) (x − (-1 + 3i)) (x − (-1 − 3i))

y = (x − 5) (x + 3) (x + 1 − 3i) (x + 1 + 3i)

Distribute using FOIL (first, outer, inner, last) to get real coefficients:

y = (x − 5) (x + 3) (x² + (1 + 3i)x + (1 − 3i)x + (1 − 3i)(1 + 3i))

y = (x − 5) (x + 3) (x² + x + 3ix + x − 3ix + 1 + 3i − 3i − 9i²)

y = (x − 5) (x + 3) (x² + 2x + 1 + 9)

y = (x − 5) (x + 3) (x² + 2x + 10)

Distribute to convert from factored form to standard form:

y = (x² + 3x − 5x − 15) (x² + 2x + 10)

y = (x² − 2x − 15) (x² + 2x + 10)

y = x²(x² + 2x + 10) − 2x(x² + 2x + 10) − 15(x² + 2x + 10)

y = x⁴ + 2x³ + 10x² − 2x³ − 4x² − 20x − 15x² − 30x − 150

y = x⁴ − 9x² − 50x − 150

8 0

3 years ago

If a bag contains 10,500 ounces (oz) of sand, about how many pounds (lb) does it contain? [1 pound= 16 ounces]

Ivahew [28]

Okay so 1 pound = 16 ounces, and there is 10,500 ounces of sand.

Simply divide 10,500 by 16

10,500 / 16 = 656.25.

So your answer would be A.

4 0

4 years ago

Read 2 more answers

Please help me understand it and answer

Rus_ich [418]

Answer:

Step-by-step explanation:

that should be the answer

6 0

3 years ago