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masya89 [10]
3 years ago
13

Which expression is equivalent to 3(5 + 6)?

Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

15+18

Step-by-step explanation:

3(5)+3(6)=15+18

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Is 8.001 bigger than 8.002​
son4ous [18]

Answer:

False

Step-by-step explanation:

8.001 is not greater than 8.002

4 0
3 years ago
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What is the value of v in the equation 3(2v + 1)=-15(5v + 16)​
Darina [25.2K]

Answer:

v = -3

Step-by-step explanation:

6v+3= -75v - 15 (16)

81v=  -243

then put it over -3 then

-243 over 81

7 0
3 years ago
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If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?
ANEK [815]
Hmm. a rectangle?ok then, least number of rectangles needed-6.
. . .
. . . ( rectangle)
so, 6 x 8=48(greatest multiple of 6 from between 21 and 49)
48 players are most, so 8 rectangles
5 0
3 years ago
Marcy charges $575 per month to rent a room at her eight-room apartment complex. Running the complex costs
vodka [1.7K]

Answer:

B

Step-by-step explanation:

575 x 8 = 4600

4600 x 12 = 55200

55200 - 9880 = 45320

Therefore, our answer is B

6 0
3 years ago
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Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
3 years ago
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