A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n + 1 C=2n2 + 6n – 1 D=3n2 + 5

Answers

Answer 1

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? We want (n)(2n+6) - (n^2-1). (Please note: n^2 is correct, while n2 is not.)

Multiplying out the first term: 2n^2 + 6n
Subtracting n^2-1: - (n^2 -1)
----------------------
n^2 + 6n + 1 (answer)

Answer 2

Answer:

Step-by-step explanation:

Related Questions

piano and pipe organs contain keyboard a portion of which is shown Express the ratio of Black Keys to white keys in the picture above three different ways to simplify if possible Final Solution in a complete sentence

Black keys 6
white keys 8

Answers

ratios can be written as fractions.....so the ratio of black keys to white keys is 6:8...which can be written as 6/8....which reduces to 3/4...hence the ratio simplified is 3:4......which is also written as 3/4 and as 3 to 4

The ratio should be 3:4

Given that,

Black keys 6 and white keys 8

Based on the above information, the calculation is as follows:

= 6:8

= 3:4

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Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
a.f(a)=b,f(b)=a,f(c)=c,f(d)=d
b.f(a)=b,f(b)=b,f(c)=d,f(d)=c
c.f(a)=d,f(b)=b,f(c)=c,f(d)=d

Answers

Only (a) describes a one-to-one function. (b) fails because [tex]f(a)=f(b)=b[/tex]; similarly, (c) fails because [tex]f(a)=f(d)=d[/tex].

The bookshelf was bought at a wholesale price of $147.00, and Gabriela Furniture Store Marie up all Furniture by 60%.At what price should the manager sell the bookshelf ?

Answers

$147 multiplied by 1.6 = $235.20

Debra is on the swim team. Each day she swims 850m. How many kilometers does she swim each day?

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the answer is 0.85 kilometers hope i helped

Debra swims 0.85 km each day.

the sum of six consecutive integers is 387. what is the sixth number in the sequence

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Let the fist number in the sequence be x, we have 6 consecutive numbers. This means that the numbers would be:
x , x+1 , x+2 , x+3 , x+4 and x+5

We know that the sum of these numbers is 387, therefore:
x + x+1 + x+2 + x+3 + x+4 + x+5 = 387
6x + 15 = 387
6x = 372
x = 62

Therefore, the sixth number in the sequence would be : x+5 = 62+5 = 67

PLEASE HELP! DUE IN 5 DAYS

Answers

m<3 = 47
m<5 = m<3 = 47 (Alternate interior angles)

answer
m<5 = 47

since angle 3 = 47, then angle 1 also = 47

this would mean that both angles 5 & 7 are also 47

so angle 5 = 47 degrees

The initial number of views for a blog was 20. The number of views is growing exponentially at a rate of 20% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number.

Answers

The answer is 41 views

Answer : The number of views expected to be four weeks from now is, 42

Step-by-step explanation :

Formula for exponential growth is :

[tex]y=a(1+r)^x[/tex]

where,

y = exponential growth = ?

a = initial amount of growth = 20

r = growth rate = 20% = 0.20

x = number of time intervals that have passed = 4

Now put all the given values in the above formula, we get:

[tex]y=20\times (1+0.20)^4[/tex]

[tex]y=41.475\aaprox 42[/tex]

Thus, the number of views expected to be four weeks from now is, 42

Cases are normally sold full. There were three partially full cases that could be combined to make full cases. The cases were 11/16, 5/16 and 7/16 full.

Answers

11/16 + 5/16 + 7/16 = 23/16

23/16 = 1 7/16

There is enough for one full case and 7/16 case leftover.

m−14.6=9.74 4.86 23.34 24.34 25.34 wich one

Answers

The answer would be 24.34

m - 14.6 = 9.74
m - 14.6 (+14.6) = 9.74 (+ 14.6)
m = 24.34

hope this helps

Write words to match the expression, 3 + (4 × 12)

Answers

Three added to the product of four and twelve

or

The product of four and twelve added by three

"The product of 4 and 12, then add 3"

What is the volume in cubic yards of a greenhouse that is 35 feet long, 10 feet wide, and 10 feet high?

Answers

Final answer:

To determine the volume of a greenhouse, multiply its length, width, and height to find its volume in cubic feet, then convert to cubic yards using the conversion factor of 1 cubic yard being equivalent to 27 cubic feet. The volume for the given dimensions is approximately 129.63 cubic yards.

Explanation:

The volume of a structure, including a greenhouse, is calculated by multiplying its length by its width by its height. The first step is to calculate the volume in cubic feet, then convert cubic feet to cubic yards knowing that 1 cubic yard equals 27 cubic feet. Here's how to calculate the volume of the given greenhouse:

Multiply the length, width, and height in feet to get the volume in cubic feet: 35 ft x 10 ft x 10 ft = 3500 cubic feet.Convert cubic feet to cubic yards using the conversion factor (1 cubic yard = 27 cubic feet): 3500 cubic feet
divided by
27 = 129.63 cubic yards.

Therefore, the volume of the greenhouse is 129.63 cubic yards.

Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet, and 15 feet using these three pieces of rope

Answers

no, he cannot ~ 8+4=12; 12 < 15

Answer:the answer is B No,set of side length does not satisfy triangle inequality theorem

Step-by-step explanation:

A 24-ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2,000-calorie-per-day diet. What percentage of a 2,500-calorie-per-day diet would this same drink constitute?

Answers

Hello there!

2,000 × 25% = 500 = 500 calories in the beverage.
So, 2,500 ÷ 500 = 5
We know that 5 × 20 = 100
Therefore, 20% is your answer

Hope this helped! Have a great day!

Answer:

Step-by-step explanation:

Rearrange the formula V = 1 3 πr2h for h.

Answers

Answer:

The answer is A. Thanks

Step-by-step explanation:

Making 'h' the subject , the expression obtained is h = 3V/ πr²

Given the volume formula :

V = 1/3 πr²h

To make 'h' the subject

multiply both sides by 3

3V = πr²h

divide both sides by πr² in other to isolate 'h'

3V/ πr² = πr²h/πr²

h = 3V/ πr²

Therefore, making 'h' the subject , the expression obtained is :

h = 3V/ πr²

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The ling family wants to purchase a television that costs $449. The store that sells the television has multiple locations in different counties. The sales tax for each county is shown. Complete the table below by arranging the counties from least to greatest sales tax rate. Write each sale tax as a percent

Answers

The question has no table attached to it but I manage to search for the complete table. Shown below are arranged counties with the least to the greatest sales tax rate expressed in percentage.

Cuyahoga = 7 + 3/4%
=7 +3/4% = 0.75
=7.75%
Geuga = 13/200= 0.065
= 0.065 x 100 = 6.5%
Lake = 0.0675 x 100 = 6.75%

least Geauga 6.5%
Lake 6.75%
greatest Cuyahoga 7.75%

Use
A=P(1+rn)nt
A=P(1+rn)nt where:
A = the amortized amount (total loan/investment amount over the life of the loan/investment)
P = the initial amount of the loan/investment
r = the annual rate of interest
n = the number of times interest is compounded each year
t = the time in years

Find how long it takes a $2,200.00 investment to earn $210.00 in interest if it is invested at 10% compounded monthly.

It will take ___ years. (Round answer to 3 decimal places.)

Answers

same here, the interest earned is 210, the principal is 2200, so the accumulated amount is 2410.

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$2410\\ P=\textit{original amount deposited}\to &\$2200\\ r=rate\to 10\%\to \frac{10}{100}\to &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\to &12\\ t=years \end{cases}[/tex]

[tex]\bf 2410=2200\left(1+\frac{0.1}{12}\right)^{12t}\implies \cfrac{2410}{2200}=\left(1+\frac{1}{120} \right)^{12t} \\\\\\ \cfrac{241}{220}=\left(\cfrac{121}{120} \right)^{12t}\implies log\left( \frac{241}{220} \right)=log\left[ \left(\frac{121}{120} \right)^{12t} \right]\\\\\\ log\left( \frac{241}{220} \right)=12t\cdot log\left(\frac{121}{120} \right)\implies \cfrac{log\left( \frac{241}{220} \right)}{12 log\left(\frac{121}{120} \right)}=t\implies 0.915 \approx t[/tex]

so, about 10 months and 27 days.

Final answer:

It will take approximately 1.459 years for a $2,200.00 investment to earn $210.00 in interest if it is invested at 10% compounded monthly.

Explanation:

To find how long it takes a $2,200.00 investment to earn $210.00 in interest if it is invested at 10% compounded monthly, we can use the formula A = P(1+rn)^(nt). Plug in the values: A = 2200 + 210 = 2410, P = 2200, r = 0.10 (10%), n = 12 (compounded monthly), and t = ?

2410 = 2200(1 + 0.10/12)^(12t). Divide both sides by 2200 to isolate the expression:

1.095 = (1 + 0.10/12)^(12t). Take the natural logarithm of both sides to remove the exponent:

ln(1.095) = 12t * ln(1 + 0.10/12). Solve for t:

t = ln(1.095) / (12 * ln(1 + 0.10/12)). Use a calculator to find the value of t, which is approximately 1.459 years when rounded to 3 decimal places.

The weight of 10,000 identical samples of a substance is 10 pounds. What is the weight of 100 samples?

Answers

Okay. So, the weight of 10,000 samples is 1 pound. To find the weight of each sample, we can do 10/10,000, which would give us 0.001. Each sample weighs 0.001 pound. We can multiply that times 100 to find the weight of 100 samples. 0.001 * 100 = 0.1. The weight of 100 samples is 0.1 pound.

Answer: 0.1

Step-by-step explanation: Okay. So, the weight of 10,000 samples is 1 pound. To find the weight of each sample, we can do 10/10,000, which would give us 0.001. Each sample weighs 0.001 pound. We can multiply that times 100 to find the weight of 100 samples. 0.001 * 100 = 0.1. The weight of 100 samples is 0.1 pound.

Una piscina completamente llena se puede vaciar por un desagüe en 10 horas, y por otro, en 15 horas. Si se abren ambos de desagüe simultáneamente. en cuanto tiempo variarán la piscina?

Answers

Hm. Pregunta confusa ¿hablas inglés? Lo siento por no responder. Pero ten un buen día.

Lisa wants to buy a phone card for $5. Company X charges $0.49 for the first minute and $0.16 for each additional minute. Company Y charges $0.57 for the first minute and $0.12 for each additional minute. If Lisa makes just one call, which phone company gives her more minutes for $5? How many more minutes?

Answers

So for $5, let's calculate each company's minutes for that much money.

Company X: First subtract the time for the first minute.

5 - 0.49 = 4.51

Then divide by 0.16, and you get about 28 minutes.

28 + the original 1 minute = 29 minutes

Company Y: $5 - 0.57 = 4.43

4.43 / 0.12 = about 36 + the original one minute = 37 minutes

So Company Y gives her more minutes for 5 dollars, and also 8 more.

Lisa had 1750 stamps. Mark had 480 fewer stamps than Lisa. Lisa gave some stamps to Mark. Now Mark has three times as many stamps as Lisa. How many stamps did Mark have at first? How many stamps does Lisa have now? Explain.

Answers

Given that Lisa had 1,750 stamps and Mark had 480 fewer stamps than Lisa.

Thus, the number of stamps Mark had is 1,750 - 480 = 1,270

Given that Lisa gave some stamps to Mark which makes Mark to have three times as many stamps as Lisa.

Let the number of stamps that Lisa gave to Mark be x, then

[tex]3(1,750 - x) = 1,270 + x \\ \\ \Rightarrow5,250-3x=1,270+x \\ \\ \Rightarrow x+3x=5,250-1,270 \\ \\ \Rightarrow 4x=3,980 \\ \\ \Rightarrow x= \frac{3.980}{4} =995[/tex]

Thus, Lisa gave Mark 995 stamps.

Therefore, the number of stamps that Lisa have now is 1,750 - 995 = 755.

Convert this improper fraction to a mixed number. 56/5 11 r 1 11 1/5 11.2 5/56

Answers

The correct answer is: [C]: " 11 ⅕ " .
_______________________________

Help me asap!

please help

Answers

cross multiply:

21*9 = 189

7*q = 7q

so you have 189/7q

divide 189 by 7 to get q

189 / 7 =27

q = 27

What is the exact volume of the cone?

28π in³
563π in³
1963π in³
196π in³

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius\\ h=height\\ ------\\ r=7\\ h=4 \end{cases}\implies V=\cfrac{\pi \cdot 7^2\cdot 4}{3}\implies V\approx 205.25[/tex]

28π in^3

56/3π in^3

196/3π in^3

196π in^3

These are the numbers they meant to put and the answer is 196/3 in^3.

how can you use compensation to find 8 x 903?

Answers

903 times 8 is 7224 hope it helped

27 students in all 4:5 packed lunch. how many students packed lunch

Answers

[tex]\bf \stackrel{total}{27}\qquad 4:5\qquad \cfrac{4}{5}\implies \cfrac{4\cdot \frac{27}{4+5}}{5\cdot \frac{27}{4+5}}\implies \cfrac{4\cdot 3}{5\cdot 3}\implies \cfrac{\stackrel{packed~lunch}{12}}{\stackrel{did~not~pack~lunch}{15}}[/tex]

The remainder when aa is divided by 77 is 22 and the remainder when bb is divided by 77 is 55. (so a mod 7=2a mod 7=2, b mod 7=5b mod 7=5) find: (a+a) mod 7(a+a) mod 7 equation editor equation editor (a+b) mod 7(a+b) mod 7 equation editor equation editor (3a) mod 7(3a) mod 7 equation editorequation editor (2b) mod 7(2b) mod 7

Answers

[tex]a\equiv2\pmod7[/tex]
[tex]b\equiv5\pmod7[/tex]

[tex]a+a\equiv2+2\equiv4\pmod7[/tex]

[tex]a+b\equiv2+5\equiv7\equiv0\pmod7[/tex]

[tex]3a\equiv6\pmod7[/tex]

[tex]2b\equiv10\equiv3\pmod7[/tex]

Final answer:

The modulo of the expressions are computed as follows: (a+a) mod 7 = 4, (a+b) mod 7 = 0, (3a) mod 7 = 6, and (2b) mod 7 = 3.

Explanation:

I'm sorry, but I'm afraid there might have been some confusion in your input. If you wanted the remainders of different expressions when divided by 7, here are the steps:

Given that a mod 7 = 2 and b mod 7 = 5, you can use modular arithmetic to compute the modulo of expressions including a and b:

(a+a) mod 7 = 2a mod 7. Since a mod 7 = 2, then 2a mod 7 = 4 mod 7.(a+b) mod 7 = 2+5 mod 7 = 7 mod 7 = 0.(3a) mod 7 = 6 mod 7.(2b) mod 7 = 10 mod 7 = 3.

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Solve the equation.
17=5k-2

Answers

k=14 i think thats right im not sure

Answer:
k would equal 3.8

The elimination of paper-based documents between organizatins is made possible by

Answers

email
document sharing via computer, e. g., with Adobe pdf documents

Shan's dumpling house can produce 100 dumplings using one worker and 175 dumplings using two workers. what is the marginal product of the second worker?
a.25 dumplings
b.75 dumplings
c.175 dumplings
d.275 dumplings

Answers

Marginal product is defined as the incremental change in output that occurs due to a change in the input signals.

It is calculated on two steps:
1- Find the change that occurred to the outputs
2- Divide this change by the additional inputs

For the problem we have here:
Step 1:
old output = 100 dumplings
new output = 175 dumplings
change that occurred = 175 - 100 = 75
Step 2:
This change occurred as a result of adding 1 worker
Therefore:
marginal product = 75/1 = 75

Answer: (b)

The marginal product of the second worker is b. 75 dumplings.

To find the marginal product of the second worker, we need to determine how many additional dumplings the second worker is able to produce compared to the first worker. The marginal product (MP) of a worker is calculated as follows

[tex]\[ MP = \text{Total production with two workers} - \text{Total production with one worker} \][/tex]

Given:

[tex]\[\]\[ \text{Total production with one worker} = 100 \text{ dumplings} \]\[ \text{Total production with two workers} = 175 \text{ dumplings} \][/tex]

Substitute the given values into the formula:

[tex]\[\]\[ MP = 175 \text{ dumplings} - 100 \text{ dumplings} \]\[ MP = 75 \text{ dumplings} \][/tex]

Mr. James wants to build a walkway around his school garden. The width of his garden is one-third the length. The perimeter of the school garden is 32 feet. What is the length and width of his garden?

Answers

L=3W

2(3W+W)=32 feet

8W=32 feet

W=4 feet

L=3W

L=3* 4 feet

L=12 feet

The width is 4 feet, the length is 12 feet.

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