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Lorico [155]
3 years ago
8

Find the surface area of the triangular prism shown below.

Mathematics
1 answer:
storchak [24]3 years ago
3 0

Answer:

150

Step-by-step explanation:

mark brainliest plz

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According to data from a medical​ association, the rate of change in the number of hospital outpatient​ visits, in​ millions, in
GaryK [48]

Answer:

a) f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient​ visits, in​ millions, is given by:

f'(t)=0.001155t(t-1980)^{0.5}

a) To find the function f(t) you integrate f(t):

\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt

To solve the integral you use:

\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}

Next, you replace in the integral:

\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C

Then, the function f(t) is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient​ visits.

Hence C' = 264,034,000

The function is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) For t = 2015 you have:

f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7

3 0
3 years ago
Y=x^2+3x+54 what is the table?
andrew11 [14]

Answer:

i added an attachment of the graph :)

Step-by-step explanation:

7 0
3 years ago
Can someone please help me​
N76 [4]

Answer:

A = 7 x 9.3

A = 65.1 yd²

Step-by-step explanation:

<em>(I am assuming that either 7 or 9.3 refers to the height. It is unclear.)</em>

A = bh

5 0
3 years ago
Suppose that 48% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
katovenus [111]
12/25 chance that they both own a dog
8 0
2 years ago
The sum of two numbers is 53 and the difference is 11. What are the numbers?
vaieri [72.5K]
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question, 
X + Y = 53 .................. Equation 1
then,  X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1, 
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number].



4 0
3 years ago
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