All categories

3 years ago

This is my question please choose a reasonable answer

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

I believe the answer is C.

You might be interested in

Factor the expression.<br> -28.2 - 14

s2008m [1.1K]

-42.2
i hope this helps!

8 0

3 years ago

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

3 years ago

In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.

AnnZ [28]

Answer: $\dfrac2{201}$

Step-by-step explanation:

Number of persons said it is legal to text while driving = 8

Number of persons said it is illegal to text while driving = 804

Total persons sampled = 804+8 = 812

Since probability = $\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}$

The probability of randomly selecting someone who believes it should be legal to text while driving = $\dfrac{8}{804}=\dfrac2{201}$

Required probability = $\dfrac2{201}$

7 0

3 years ago

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi

nikitadnepr [17]

Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.

8 0

3 years ago

Solve the system of equations algebraically.

andrew11 [14]

Answer: d. (17, 20)

Step-by-step explanation:

We have the following system of equations:

$x-3y=8$ (1)