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Lunna [17]
3 years ago
7

If an input is -9 what is the output for y = x(to the 2nd power) + 3?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

Step-by-step explanation:

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If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
A 7-pack of tickets to the zoo costs $78.61. What is the unit price?
vredina [299]

Answer:

$11.23

Step-by-step explanation:

To find the unit price divide the price by the product. For example, 12 ounces of juice costs $2.45. You divide $2.45 by 12 ounces. The unit price would be $0.20.

<em>I hope this helped you, if it did more than all the other answers that may be on your question, feel free to give me brainliest, I would really appreciate it.</em>

7 0
2 years ago
Read 2 more answers
Find the y-intercept of the line who's equation is Y = 3.5 x- 0.4.
agasfer [191]
\sf y=mx+b

m is the slope
b is the y-intercept

so that means that the y-intercept of

\sf y=3.5x + .4

is \sf .4

\bf{\huge{\boxed{y-intercept = .4}}}
7 0
3 years ago
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So i know g(x)=3k-2x² and g(-3)=-6<br> how do i know what g(x) ad k are?
schepotkina [342]

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

8 0
3 years ago
When conducting a survey about choosing vacation destinations, Michele should ________ in order to get reluctant respondents to
astra-53 [7]

When conducting a survey about choosing vacation destinations, Michele should <u>assure people that their individual responses will be kept confidential</u> in order to get reluctant respondents to provide honest information.

Making sure that people's survey responses are clearly confidential will cross a protracted manner to ensure that you acquire a greater variety of finished responses and that the answers are greater honest.

Researchers rent some of the strategies to hold their subjects' identities confidential. Predominant, they maintain their facts cozy via the use of password-blanketed documents, encryption while sending statistics over the internet, and even locked doors and drawers.

In studies of human topics, a survey is a listing of questions aimed at extracting unique information from a particular institution of humans. Surveys may be performed by way of cellphone, mail, through the internet, and also at street corners or in shops.

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7 0
2 years ago
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