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3 years ago

Help!!!!!! Find the center and radius of the circle.

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

Answer:

The center is (4,1) and the radius is 5

Step-by-step explanation:

Have a great day!!!

Kono Dio Da!!!!

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Simplify -9(1-10n) - 2(3n+9)

agasfer [191]

Answer:

3 (28 n - 9)

Step-by-step explanation:

Simplify the following:

-9 (1 - 10 n) - 2 (3 n + 9)

-9 (1 - 10 n) = 90 n - 9:

90 n - 9 - 2 (3 n + 9)

-2 (3 n + 9) = -6 n - 18:

90 n + -6 n - 18 - 9

Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):

(90 n - 6 n) + (-9 - 18)

90 n - 6 n = 84 n:

84 n + (-9 - 18)

-9 - 18 = -27:

84 n + -27

Factor 3 out of 84 n - 27:

Answer: 3 (28 n - 9)

4 0

3 years ago

Find the slope of the line y = 1/6x + 3/2

AURORKA [14]

Answer: 1/6

Step-by-step explanation:

Slope is the m in y=mx+b

7 0

3 years ago

Read 2 more answers

at the craft store , alan bought a bag of orange and green marbles. the bag contained 25 marbles, and 40% of them where orange.

Kazeer [188]

Answer:

There are 10 orange marbles

Step-by-step explanation:

There are 25 marbles in the bag

40% are orange

To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange

25 *40% = number of orange marbles

25*.40

There are 10 orange marbles

4 0

3 years ago

Read 2 more answers

Here are the percents of the popular

Murljashka [212]

Answer:

Ok, you should first order every number in the regular order (1,2,3,4,5,6,7,and so on) or (1.2,1.3,2.4,5.9).

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.

Median means the exact middle and here there are total of 15 different numbers so we know this is going to be easier if this was even. 50.7 is the median because it is in the middle and there are an even number of numbers on each side to it, 7.

Step-by-step explanation:

brainly.com/question/19573936

7 0

2 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