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3 years ago

What digit appears in the units place in the number obtained when 2320 is multiplied out?

1 answer:

7 0

<span>The digit 0 will be in the units place when 2320 is multiplied out. The units place will always be 0 when any number that ends in 0 is multiplied.</span>

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Find the mean, median, and mode of the numbers: “10, 20, 15, 15, and 60”.

prisoha [69]

MEAN (add up all the numbers then divide by how many numbers there are. Aka the average)

10 + 20 + 15 + 15 + 60

120 ÷ 5 = 24

MEDIAN (the number in the middle)

MODE (most repeated number)

Also 15

3 0

3 years ago

Read 2 more answers

Match each differential equation to a function which is a solution.

inessss [21]

Answer: 1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A. $y = 3x+x^2$

$y' = 3 + 2x\\y'' = 2$

Replace in 1:

$y'' + y = 0$

$2 + 3x + x^2 \neq 0$

So, A is not an answer for 1

Replace in 2:

$y' = 3y$

$3+2x = 3(3x + x^2)$

So, A is not an answer for 2

Replace in 3

$2x^2y'' + 3xy'= y$

$2x^2(2) + 3x(3 + 2x) = 4x^2 + 9x + 6x^2 \neq 3x+x^2$

So, A is not an answer for 3

Replace in 4

$y'' + 6y' + 8y = 0$

$2 + 6(3+2x)+8(3x + x^2) = 2+18+12x+24x+8x^2 \neq 0$

So, A is not an answer for 4

B. $y = e^{-4x}$

$y' = -4e^{-4x}$

$y'' = 16e^{-4x}$

Replace in 1

$y'' + y = 0$

$16e^{-4x} -4e^{-4x} = 12e^{-4x} \neq 0$

So, B is not an answer for 1

Replace in 2

$y' = 3y$

$-4e^{-4x} \neq 3e^{-4x}$

So, B is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(16e^{-4x}) +3x(-4e^{-4x}) \neq e^{-4x}$

So, B is not an answer for 3

Replace in 4

$y'' + 6y' +8y = 0$

$16e^{-4x} + 6(-4e^{-4x}) + 8e^{-4x} = e^{-4x}(16-24+8) = 0$

So, B is an answer for 4

C. $y = sin(x)$

$y' = cos(x)$

$y'' = -sin(x)$

Replace in 1

$y'' + y = 0$

$-sin(x) + sin(x) = 0$

So, C is an answer for 1

We jump to

D. $y = x^{12}$

$y' = 12x^{11}$

$y'' = 132 x^{10}$

Replace in 2

$y' = 3y$

$12x^{11} \neq 3x^{12}$

So, D is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(132x^{10}) + 3x(12x^{11}) = 300x^{12} \neq x^{12}$

So, D is not an answer for 3

E. $y = 6e^{3x}$

$y' = 18e^{3x}$

$y'' = 54e^{3x}$

Replace in 2

$y' = 3y$

$18e^{3x} = 3(6e^{3x}) = 18e^{3x}$

So, E is an answer for 2

3 0

3 years ago

Is (0,0) a solution to this system..

nirvana33 [79]

C is the answer because no solution doesnt leave off the x axist

7 0

3 years ago

Read 2 more answers

20. When a point lies on the x-axis, what do you know about its

musickatia [10]

Answer:

that it should be the last alined coordinates.

Step-by-step explanation:

7 0

3 years ago

Find the missing value so that the two points have a slope of -3/10 (x,-8) and (-5,-5)

rosijanka [135]

Answer:

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

-3/10 = (-5--8)/(-5-x)

-3/10 = (-5+8)/(-5-x)

Using cross multiplication

-3 (-5-x) = 10*(-5+8)

Simplify

-3(-5-x) =10(3)

Divide by -3

-3/-3(-5-x) =10(3)/-3

-5-x = -10

Add 5 to each side

-5-x+5 = -10+5

-x=-5

Divide by -1

x=5

4 0

3 years ago