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Phantasy [73]
2 years ago
7

What is the inverse of the function y=4x+5

Mathematics
1 answer:
docker41 [41]2 years ago
3 0

Answer:

the answer for this question is (y-5)/4=x

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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
PLS PLS HELP I HAVE A D IN MATH AND NEED HELP GETTING MY GRADE UP
Ipatiy [6.2K]

Answer:

1/6 bcause

Step-by-step explanation:

it is a 4 by 3 block so if your going to count cont by the side answe is 1/6

8 0
3 years ago
Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function
Volgvan

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

  • <em>The initial value of a function is the output value of the function when the input value is 0</em>

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

5 0
2 years ago
Answer to number 6 please
Alenkasestr [34]

Answer:

Step-by-step explanation:

C

6 0
2 years ago
What is 624 divide by 27
mihalych1998 [28]

624/27

first you have to know what number that can be subtracted by 62

1. do 27 times 2 equal 54 then you subtract 62 by 54 equal 8 then you put 84 together that will 84 then multiply 27 times 3 = 81 then subtracted by 84

84-81 equal 3

In the calculator the answer is 23.1111111111

3 0
3 years ago
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