Determine which ordered pair is a solution of y=8x.

1 answer:

7 0

Plug each value into the equation. With ordered pairs the first number represents the x-value and the second represents the y-value. The answer is D. 16=8(2)

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How many photons with 10 ev are required to produce 20 joules of energy?

alexira [117]

1 joule = 6,242e+18ev

20 joule = 20 joule *6,242e+18 ev/joule =1,248e+20 ev

1,248e+20 ev / (10 ev / photon) =1,248e+19 photons.

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3 years ago

Find the average rate of change over the given interval f(x)=3^x,[1,4]

nexus9112 [7]

Answer:

Step-by-step explanation:

Thus, f(b)−f(a)b−a=3(4)−(3(1))4−(1)=26.

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3 years ago

Which polynomial is equivalent to (2h − 3k)(h + 5k)?

shutvik [7]

2h^2 + 7hk -15k^2
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3 years ago

Read 2 more answers

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

sesenic [268]

$A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})$
$\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$
$A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4$

We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C$
$A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}$

Given that $A(0)=30$ , we have

$30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02$

so the amount of salt in the tank at time $t$ is

$A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}$

3 0

3 years ago

$8000.00,r=12.5%,t=3months

victus00 [196]

P times r times t is wwhat you need to do

8 0

4 years ago