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zhannawk [14.2K]
3 years ago
10

The number of fish in a lake decreased by 20% between last year and this year. Last year there were 75 fish in the lake. What is

the population this year?
Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

90

Step-by-step explanation:

75 × (20/100) = 15

75+15=90

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7.6 cm<br> 3.7 cm<br> Find the area of the parallelogram.
Alik [6]

Answer:

7cm²

Step-by-step explanation:

4 0
3 years ago
The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
Estimate 10/11 x 1/9. BRAINLIEST TO PEOPLE WHO ANSWER CORRECTLY!!
vovangra [49]
C is the answer to the problem
6 0
3 years ago
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to
natka813 [3]

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

6 0
3 years ago
Having a hard time finding the area
Marina CMI [18]

Answer:

For the triangle, the area is 7.5 in.

For the trapezoid, the area should be 90 cm

Step-by-step explanation:

The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h

5 0
3 years ago
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