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1 year ago

What is p−m ÷ p−n equal to? (1 point) a p−m − (−n) b p−m − n c p−m(−n) d p−m ÷ n

Mathematics

1 answer:

mr_godi [17]1 year ago

5 0

Answer:

Please check the formatting in the problem.

Step-by-step explanation:

As written, "p−m ÷ p−n" is only p - m/p - n. None of the answer options comes close. Is the expression witten correctly?

The Answer Options are also unusual:

a) p−m − (−n) is just p-m+n

b) p−m − n

c) p−m(−n) is just p +mn

d) p−m ÷ n is p = (m/n)

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A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

2 years ago

After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools.

Alona [7]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

$T(t)=T_s+(T_0-T_s)^{-kt$

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

$53=35+(73-35)^{-35k$ which can simplify a bit to

$53=35+(38)^{-35k$ and $18=38^{-35k$

Take the natural log of both sides:

$ln(18)=ln(38)^{-35k$

Taking the natural log allows us to pull that exponent down out front:

$ln(18)=-35k*ln(38)$

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

$T(t)=35+(38)^{70(-.023)$ and

$T(t)=35+(38)^{-1.61$ and

$T(t)=35+.0028612013$ and

T(t) = 35 F, basically the temp of the fridge, which is not surprising!

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2 years ago

Find the measure of each angle indicated

Natalija [7]

Answer:

what's the angle

Step-by-step explanation:

it's not induded

6 0

2 years ago

JLYK , I also need the math

Yanka [14]

7424 is the answer okay?

7 0

3 years ago

A bag with 2 1/2 quarts of peanuts can make 2 1/6 jars of peanut butter. How many

diamong [38]

Answer:

You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter

Step-by-step explanation:

To make this answering seamless, we make the mixed fractions into improper fractions

Hence 2 1/2 becomes 5/2

while 2 1/6 becomes 13/6

Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter

Hence, x quarts of peanuts will make 3 jars of peanuts butter

To get the value of x, what we simply need to do is to cross multiply.

Thus, we have

5/2 - 13/6

x - 3

3 * 5/2 = 13/6 * x

15/2 = 13x/6

26x = 90

x = 90/26

x = 45/13

x = 3 6/13

3 0

2 years ago