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3 years ago

Find the 60th term of the arithmetic sequence 4,-1,-6-

Mathematics

1 answer:

kobusy [5.1K]3 years ago

8 0

Answer:

-291

Step-by-step explanation:

The common difference is -5

So the 60th term of the arithmetic sequence is

4+(60-1)×-5

=4+59×-5

=4+-295

=-291

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Why is water not used as a solvent in paper chromatography

Anastaziya [24]

Answer:

Because the kind of compounfds that you try to determine using paper chromatography (organic compounds) are usually not soluble in water. Furthermore, water could react chemically with some of this compounds, because it's a very reactive molecule. You need organic solvents that are mostly inert.

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3 years ago

A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a

BigorU [14]

Answer:

$R'(20) = 2000$

Step-by-step explanation:

We are given the following in the question:

Quantity, q

Selling price in dollars per yard, p

$q=f(p)$

Total revenue earned =

$R(p)=pf(p)$

f(20)=13000

This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

f′(20)=−550

This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

$R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)$

Putting the values, we get,

$R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000$

7 0

4 years ago

The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can b

viktelen [127]

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

3 0

3 years ago

What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit

bogdanovich [222]

Answer:

Step-by-step explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126 Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 = BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175 Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

3 0

3 years ago

Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou

Nata [24]

What is the time it takes Sanjay to complete the puzzle? 6 hours

What is the time it takes Felipe to complete the puzzle? 8 hours

We can use the general formula of rate and time to solve this problem. Generally we have,

Rate * Time = Work/Job

** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle

Finding rate of Sanjay:

$R(6)=1\\R=\frac{1}{6}$

Finding rate of Felipe:

$R(8)=1\\R=\frac{1}{8}$

Working together, their rate is the sum,

Total Rate = $\frac{1}{6} + \frac{1}{8} = \frac{7}{24}$ .

Using the general formula again, we can find the time it will take to solve the puzzle when both works together.

$(\frac{7}{24})T=1\\ T=\frac{1}{\frac{7}{24}}= \frac{24}{7} = 3.43$ hours

Rounding the answer, we have 3.4 hours.

ANSWER: 3.4 hours

6 0

3 years ago

Read 2 more answers