What are the vertical asymptotes of f(x)=10/x^2-1

Melanie buys a carrying case for her new laptop computer. The retail price is $24.50 and the sales tax is 7%. What is the amount

Stella [2.4K]

The answer $1.72. you divide $24.50 by .07 and the answer comes out to $1.715 and then you round up and have 1.72

4 0

3 years ago

A cylindrical cooler has a diameter of 30 inches and a height of 24 inches . If a cup has a diameter of 3 inches and a height of

Aleks04 [339]

Answer:

The answer to your question is 600 cups

Step-by-step explanation:

Data

Cylinder Cup

diameter = 30 in diameter = 3 in

height = 24 in height = 4 in

Process

1.- Calculate the volume of the cylinder

Volume = πr²h

-Substitution

Volume = (3.14)(30/2)²(24)

-Simplification

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

-Result

Volume = 16959 in³

2.- Calculate the volume of the cup

Volume = (3.14)(3/2)²(4)

-Simplification

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

-Result

Volume = 28.26 in³

3.- Divide the volume of the cylinder by the volume of the cup

Number of full cups = 16959 in³ / 28.26 in³

Number of full cups = 600

8 0

4 years ago

Read 2 more answers

Hey I really need this done asap I will mark brainliest and rate 5 stars 50 Points to who ever can get me the answers please and

zavuch27 [327]

MUSTARD MAN
1) 16y+0=0 Identity Property Of Addition
2) d*r=r*d Commutive property of multiplication
3) 27a*0=0 Identity Property of Addition
4) 16x+5y=5y+16x Commutive property of Addition
5) r*1=r Identity property of Addition
6) (5y+2)+14x=5y+(2+14x) Associate property of Addition
7) (m*n)*p=m*(n*p) Associate Property of Multiplication
Please use the information you have to make sure these are RIGHT!!!!
-GENERAL OUT

4 0

3 years ago

What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?

ruslelena [56]

<h3>Answer: 375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

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As a sort of "check", we can add up partial sums like so

300+60 = 360
300+60+12 = 360+12 = 372
300+60+12+2.4 = 372+2.4 = 374.4
300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0

3 years ago

Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There where 40 questions on the tes

Svetradugi [14.3K]

Answer:

19 wrong answers.

Step-by-step explanation:

Given:

Sahil got 28 questions right.

Angelina got 7 more wrong answers than Sahil.

There where 40 questions on the test.

Question asked:

How many answers did Angelina get wrong on the math test ?

Solution:

Total questions on the test = 40

Number of right answers, Sahil got = 28

Number of wrong answers, Sahil got = 40 - 28 = 12

As Angelina got 7 more wrong answers than Sahil,

Number of wrong answers, Sahil got = 12

Then, number of wrong answers, Angelina got = 12 + 7 = 19

Therefore, 19 answers did Angelina get wrong on the math test out of 40.

7 0

4 years ago