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3 years ago

Create a number line to illustrate the following operations and find the solution.

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer:

create a number line to illustrate the following operations and find the solution.

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What is the greatest common factor of 6d² and 18d<br><br>

VMariaS [17]

gcd = 6 ⋅ d

Step-by-step explanation:

We have that

6 d ^2 = 6 ⋅ d ⋅ d and 18 d = 3 ⋅ 6 ⋅ d hence the gcd = 6 ⋅ d

(Hope this helps <3)

3 0

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.

5 0

3 years ago

Can you simplify 2.8(3-0.8)

leonid [27]

No you can not simplify

4 0

3 years ago

Use the slope formula to find the slope of the line passing through the given points.

irina1246 [14]

The slope is undefined because it is a vertical line on the x axis at 0. Its a straight line going up

3 0

3 years ago

Slope of a line perpendicular to the line whose equation is 3x-3y=-63

ivanzaharov [21]

Answer:

slope perpendicular= -1

Step-by-step explanation:

3x-3y=-63

-3y=-3x-63 divide both sides by -3

y=1x+21

Perpendicular lines have slopes that are the opposite of the reciprocal of each other

3 0

3 years ago