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4 years ago

Can someone help me? I can barely think. " write two polynomials whose difference is 6x+3".

Mathematics

1 answer:

Artemon [7]4 years ago

3 0

(x^2+9x+12) - (x^2+3x+9)= x^2+9x+12-x^2-3x-9=9x-3x+12-9=6x+3

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the mean of a group of students in 60 . if their marks 85 ,65,36 ,48 , X ,75 ,39,72 then find the value of x

miss Akunina [59]

Answer: 60

Step-by-step explanation:

Find the total number of students.

In this case, there are 8 total students. Multiply 60 * 8 = 480

Add all the numbers up.

85 + 65 + 36 + 48 + 75 + 39 + 72 = 420

480 - 420 = 60

x = 60

4 0

3 years ago

Which set of numbers represents the domain for the following table below

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type

Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

$\frac{y}{t} = e^{-kt + C} \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt} (A = e^{C})\\y = Ate^{-kt}$

when t = 1 hour, y = 15 grams. So,

$y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}$ (1)

when t = 3 hours, y = 30 grams. So,

$y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k}$ (2)

dividing (2) by (1), we have

$\frac{30}{15} = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}$

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

$A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36$

Substituting A and k into y, we have

$y = 18.36te^{-0.203t}$

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

$y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g$

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0

3 years ago

License plates are made using 2 letters followed by 3 digits. how many plates can be made ifrepetition of letters and digits is

Mademuasel [1]

26×26×10×10×10= 676 000

6 0

3 years ago

Which two expressions have the same value?<br> 1. 23-82<br> 2. 23 - (8 x 2)<br> 3. (23 -8) x 2

Elza [17]

Answer:

Any expression doesn't have the same value

Step-by-step explanation:

Subtract 82 from 23.

−59

Simplify each term.

Multiply 8 by 2.

23−1⋅16

Multiply −1 by 16.

23−16

Subtract 16 from 23.

Subtract 8 from 23.

15⋅2

Multiply 15 by 2.

<h2>Hope it is helpful.....</h2>

6 0

3 years ago