2 years ago

Please helppp i need to finish it

Mathematics

1 answer:

horsena [70]2 years ago

4 0

X =12x yeah hope helps

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The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18

Kisachek [45]

Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18,
z = 19 * 18
z = 342

In short, Your Answer would be: 342

Hope this helps!

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3 years ago

2 and 3 are angles. complementary vertical congruent supplementary

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Answer:

supplementary

Step-by-step explanation:

Angles 2 and 3 form a straight line. Straight lines are supplementary

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3 years ago

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3 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

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3 years ago

Evaluate the expression 2x2 - yl yl + 3xº for x = 4 and y = 7

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Answer:

replace the given values of x and y

Step-by-step explanation:

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3 years ago