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hjlf
2 years ago
11

A school has 600 students. If 5% are absent, how many students are absent?

Mathematics
2 answers:
qwelly [4]2 years ago
8 0

Answer:

30 students are absent.

Step-by-step explanation:

5%=0.05

0.05*600=30

blagie [28]2 years ago
4 0

Multiply total students by percent absent.

600 x 5% = 600 x 0.05 = 30

30 students are absent.

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kodGreya [7K]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Identify the initial amount a and the growth factor b in the exponential function
Olenka [21]
F(t)=1.4^t 
<span>a)a=1, b=0.4 </span>
<span>b)a=1.4, b=0<<<< </span>
<span>c)a=1.4, b=t </span>
<span>d)a=1, b=1.4 
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7 0
3 years ago
Newton's law of cooling is:
Mnenie [13.5K]

Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

ln |w| = -kt +C

If we apply exponential in both sides we got:

w = e^{-kt} *e^c

And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}

For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

32 = 59 e^{-0.15 t} +11

21=59 e^{-0.15 t}

\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

7 0
3 years ago
Find the value of each variable. Round to the nearest tenth if
solniwko [45]

Answer:

the snnswer is 47 not no other answer

Step-by-step explanation:

8 0
2 years ago
Given a line with slope m = -3/2 and a point (5, -6), what's the y-coordinate of the y- intercept?​
Svetlanka [38]

Answer:

3/2

Step-by-step explanation:

y = mx + b

-6 = -3/2(5/1) + b

-12/2 = -15/2 + b

b = 3/2

3 0
2 years ago
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