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RideAnS [48]
2 years ago
14

3. Roger runs 8 miles per hour. He ran for h

Mathematics
1 answer:
kumpel [21]2 years ago
8 0

Answer:

8<em>h</em>

Step-by-step explanation:

8 miles per hour

<em>h</em> hours

plug in <em>h </em>for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

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Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
Andrej [43]

Answer:

The answer is D) 12

Step-by-step explanation:

Multiple 4 by 3

8 0
3 years ago
Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
a school sells boxes of cookies each year for a charity fund .the data set shows the number of boxes the 10 families living on w
Thepotemich [5.8K]
0, 1, 1, 2, 2, 2, 2, 3, 3, 5

minimum: 0
maximum: 5
mean: 2.1
median: 2
mode: 2

I think the data have zero skew. Its mean, median, and mode are based on 2. It shows symmetry.
8 0
3 years ago
Is 0.032 a terminating decimal
svp [43]
I don’t think it is, sorry I’m not 100% sure, good luck though
3 0
3 years ago
The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min
Nezavi [6.7K]
A.
I think.
tell me if its right pls
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2 years ago
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