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NARA [144]
2 years ago
15

Here is a scatter plot:

Mathematics
1 answer:
inysia [295]2 years ago
3 0
Wait what try using photomath it helps explain and gives the answer.
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Use the graph or table to identify the value that makes this relationship proportional.
julsineya [31]

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

3 0
3 years ago
Read 3 more answers
PLEASE HELP ASAP ILL GIVE BRAINLIEST
ICE Princess25 [194]

it’s a because you need all those figures to make it happen
3 0
3 years ago
(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul
Aloiza [94]

Answer

(a) F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

Step-by-step explanation:

(a) f(t) = 20.5 + 10t + t^2 + δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 f(s)e^{-st} \, dt

where a = ∞

=>  F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt

where d(t) = δ(t)

=> F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt

Integrating, we have:

=> F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3}  )\left \{ {{a} \atop {0}} \right.

Inputting the boundary conditions t = a = ∞, t = 0:

F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) f(t) = e^{-t} + 4e^{-4t} + te^{-3t}

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt

F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt

F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt

Integrating, we have:

F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.

Inputting the boundary condition, t = a = ∞, t = 0:

F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

3 0
3 years ago
During basketball practice, you make 8 free throws out of 20 shots taken. Using
MArishka [77]

Answer:

if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws

Step-by-step explanation:

7 0
3 years ago
kelly ate 5/8of a pizza,lilly ate 2/6 of a pizza,ray ate 8/11 of a pizza,and marlin ate 2/5 of a pizza.which girl ate the least
kap26 [50]
5/8, 2/6, 8/11, 2/5
Convert them into decimals.

5/8 ⇒ 0.625
2/6 ⇒ 0.333
8/11 ⇒ 0.727
2/5 ⇒ 0.4

The lowest amount is 0.333, or 2/6.

Lilly ate 2/6 of a pizza.
Lilly ate the least amount of pizza.
7 0
3 years ago
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