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GREYUIT [131]
3 years ago
13

The answer right here

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

nice

Step-by-step explanation:

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Joey has 8 pairs of socks in his drawers five of them are white what percent of colored socks does he have ​
Vedmedyk [2.9K]

Answer: 62.5%

Step-by-step explanation:

first, set up the proportion. 5/8 = ?/100 in order to solve, divide 100 by 8.

the answer is 12.5. next you multiply it by 5 to get 62.5. fill it in to your equation, and you get 5/8 = 62.5/100. turn the second fraction into a percent, then you have your answer. 62.5%

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2 years ago
How many outfits are possible with 5 pairs of jeans 8 t-shirts and 2 pairs of shoes?
Anestetic [448]
5 x 8 x 2= 80 outfits
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3 years ago
What is 2153 divided by 6
9966 [12]

Answer:

358.833333333:

8 0
3 years ago
Read 2 more answers
Find the general solution to each of the following ODEs. Then, decide whether or not the set of solutions form a vector space. E
Ipatiy [6.2K]

Answer:

(A) y=ke^{2t} with k\in\mathbb{R}.

(B) y=ke^{2t}/2-1/2 with k\in\mathbb{R}

(C) y=k_1e^{2t}+k_2e^{-2t} with k_1,k_2\in\mathbb{R}

(D) y=k_1e^{2t}+k_2e^{-2t}+e^{3t}/5 with k_1,k_2\in\mathbb{R},

Step-by-step explanation

(A) We can see this as separation of variables or just a linear ODE of first grade, then 0=y'-2y=\frac{dy}{dt}-2y\Rightarrow \frac{dy}{dt}=2y \Rightarrow  \frac{1}{2y}dy=dt \ \Rightarrow \int \frac{1}{2y}dy=\int dt \Rightarrow \ln |y|^{1/2}=t+C \Rightarrow |y|^{1/2}=e^{\ln |y|^{1/2}}=e^{t+C}=e^{C}e^t} \Rightarrow y=ke^{2t}. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form e^{2t} with t real.

(B) Proceeding and the previous item, we obtain 1=y'-2y=\frac{dy}{dt}-2y\Rightarrow \frac{dy}{dt}=2y+1 \Rightarrow  \frac{1}{2y+1}dy=dt \ \Rightarrow \int \frac{1}{2y+1}dy=\int dt \Rightarrow 1/2\ln |2y+1|=t+C \Rightarrow |2y+1|^{1/2}=e^{\ln |2y+1|^{1/2}}=e^{t+C}=e^{C}e^t \Rightarrow y=ke^{2t}/2-1/2. Which is not a vector space with the usual operations (this is because -1/2), in other words, if you sum two solutions you don't obtain a solution.

(C) This is a linear ODE of second grade, then if we set y=e^{mt} \Rightarrow y''=m^2e^{mt} and we obtain the characteristic equation 0=y''-4y=m^2e^{mt}-4e^{mt}=(m^2-4)e^{mt}\Rightarrow m^{2}-4=0\Rightarrow m=\pm 2 and then the general solution is y=k_1e^{2t}+k_2e^{-2t} with k_1,k_2\in\mathbb{R}, and as in the first items the set of solutions form a vector space.

(D) Using C, let be y=me^{3t} we obtain that it must satisfies 3^2m-4m=1\Rightarrow m=1/5 and then the general solution is y=k_1e^{2t}+k_2e^{-2t}+e^{3t}/5 with k_1,k_2\in\mathbb{R}, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).  

4 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=22°, and CD = 80 feet. Find the length of EC to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
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