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mars1129 [50]
3 years ago
8

Convert the equation into slope-intercept form 2x+3y=9

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
Convert the equation into slope-intercept form 2x+3y=9

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The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours
Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral \int\limits^{10}_{1 } {W(t)} \, dt means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\

c) Using casio calculator to evaluate the integral gives:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\ = 2.54 inches

D) The total daily change in water level = \int\limits^{24}_{0 } {W(t)} \, dt\\\\ = 0.35 inches

8 0
2 years ago
What will be the next in the series 2,60,10,120,30,?
grandymaker [24]
2 to 60 is 58 -48 is 10 
so you have think what sort of maths skills are used like it could n+58 -48 then square or something ,but check what the differences are between the numbers.
hope it helped.
8 0
3 years ago
If machanical advantage of simple machine is 4, what dose it indicates?​
Savatey [412]

Answer:

Velocity ratio of simple machine is the ratio of distance travelled by effort to the distance travelled by load in the machine.Mechanical advantage MA is the ratio of output (generated by the machine) force to input (applied to the machine) force. So MA = 4 means that for example if you apply 100 N then your machine will multiply that force and generate 400 N.

6 0
2 years ago
Subtract. 5x^2-5x+1-(2x^2+9x-6)
Talja [164]
<h2>Hello!</h2>

The answer is:

3x^{2} -14x+7

<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

4 0
3 years ago
A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function
krek1111 [17]

Answer:

y = (1/5)x² or  y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola.  We need to find 'a'.   f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²    

We know that when x = 5, y = 5, so we have

5 = a(5²)      now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or  x²/5  (the expressions are equal)

8 0
3 years ago
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