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Mathematics College

Write out the first four terms of the maclaurin series of f(x) if f(0)=−13,f′(0)=−6,f″(0)=5,f‴(0)=6 f(x) = +⋯

2 months ago

Solution 1

Guest #4000

2 months ago

$-13 - 6x + \frac{5}{2} {x}^{2} + {x}^{3}$

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Find 2 numbers that multiply to 6 and add to 5.

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Answer:
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If stamps are $0.30 how many stamps can Janice buy with $7.20

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Divide the total amount of money Janice has by the cost of the stamps.

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Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?

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We have been given that Paige can ride one half of a mile in 1/30 th of an hour. And we have to found the distance traveled in 1 hour if she continues to ride at the same pace.

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In a class of 147 students, 95 are taking math(m), 75 are taking science (s), 52 are taking both math and science. What is the probability of randomly choosing a student who is taking neither math nor science? Round your answer to the nearest tenth

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Subtract 52 from m, s, and the total amount of students.. 52 is the amount of students that would take both math and science. m now equals 43, s now equals 23, and the total students remaining is 95.

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Step-by-step explanation:

good luck babes <3

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At a college, 4/5 of the students take an English class. Of these students, 5/6 Composition. Which fraction of the students at the college take Composition?

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If I’m doing it correctly it’s 2/3 but I haven’t done it in a while

Question

Which situation is represented by the following equation?45w+123.95=753.95

Solution 1

45w+123.95=753.95
subtract 123.95 from both sides
45w+123.95-123.45=753.95-123.95
simplifying gives us:
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A number, half of that number, and one fifth of that number are added. The result is 51. What is the original number?

Solution 1

Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
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x+x/2+x/5=51
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Dani measured the angles of a triangle as 125 degree, 36 degree, and 24 degree. Then, she measured the side lengths as 25.3 cm, 17.2 cm, and 11.8 cmon. She said that her triangle is an isosceles obtuse triangle. Do you agree? Explain.

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Question

Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils. Which is the correct comparison of their ratios of pens to pencils?

Solution 1

Answer:

$\frac{8}{9}>\frac{4}{9}$

Step-by-step explanation:

We have been given that Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

We can see that Meredith and Brody has same number of pencils, but Meredith has more pens than Brody.

We can represent the pen to pencils ratio for Meredith and Brody as:

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Therefore, $\frac{8}{9}>\frac{4}{9}$ is the correct comparison of their ratios of pens to pencils.

Solution 2

8/9 > 4/9
Meredith has more pens to pencils than Brody

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