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mina [271]
3 years ago
6

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5. A. 93 B. 43 C. 107 D. 57

Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0
Using remainder theorem, we get:

P(t) = 3t^{2} + 5t - 7

Substitute t = 5 into the equation:
P(5) = 3(5)^{2} + 5^{2} - 7
P(5) = 75 + 25 - 7 = 93

Thus, we get a remainder of 93 or (A)
Gemiola [76]3 years ago
7 0
The answer for your question is A. 93

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Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the
Assoli18 [71]

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

V=\pi r^2h

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in

The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

#SPJ1

7 0
2 years ago
Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)
ki77a [65]

Answer:

j(s) = 0.05s -500

Step-by-step explanation:

Given

Base\ Salary = 2000

Commission = 5\% on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

j(s) = 2000 + 5\% * (s - 50000)

Convert % to decimal

j(s) = 2000 + 0.05 * (s - 50000)

Open bracket

j(s) = 2000 + 0.05 * s - 0.05 * 50000

j(s) = 2000 + 0.05s - 2500

Collect Like Terms

j(s) = 0.05s - 2500 + 2000

j(s) = 0.05s -500

3 0
3 years ago
Hi its getting pretty late and i need a little help<br> (ill give u brainliest)
Anarel [89]

Answer:

yes

yes

no

no

yes

have a good day!

Step-by-step explanation:

ive just done this today, it was really easy!

7 0
2 years ago
Read 2 more answers
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
guajiro [1.7K]

Answer: $47.06 if you do not round or $47.07 if you are required to round up.


Step-by-step explanation:

$43.99× .07 = 3.0793

$43.99+ $3.07 = $47.06

(If you round up then follow below)


$43.99× .07= 3.0793 (the 9 would cause you to round the 7 up to 8)

$43.99+ $3.08= $47.07


4 0
3 years ago
I suck at math
solniwko [45]
Area of rectangle = length*breadth
                             = 30*22
                            =660 yards2
hence answer is D.
hope this helps! :)
6 0
3 years ago
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