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2 years ago

13

Chris needs a clever pattern for Math class tomorrow. He comes up with this pattern: 8, 4, 12, 6, 16, 8, 20, 10, _, .

1 answer:

zzz [600]2 years ago

8 0

Answer:

D

Step-by-step explanation:

can't really explain it just is the answer

hope this helps!

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Find a solution to dA/dt=-6A if A(0)=6. A(t)=

Delicious77 [7]

This equation is separable,

$\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt$

Integrate both sides and solve for $A$ :

$\displaystyle \int \frac{dA}A = -6 \int dt$

$\ln|A| = -6t + C$

$e^{\ln|A|} + e^{-6t+C}$

$\implies A(t) = Ce^{-6t}$

Solve for $C$ using the initial value.

$A(0) = 6 \implies 6 = Ce^0 \implies C=6$

Then the particular solution is

$\boxed{A(t) = 6e^{-6t}}$

8 0

2 years ago

Sheri is making 4 pounds of mixed nuts. She will use 1/3 the amount of macadamia nuts as she does almonds.

zaharov [31]

1 pound of macadamia and 3 pounds of almonds

7 0

3 years ago

Read 2 more answers

A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the vo

pochemuha

The volume of a shape is the amount of space in it.

<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>

The given parameter is:

$l = 10$ ---- length of the cube

So, the volume of the cube is:

$V_1 = l^3$

$V_1 = 10^3$

$V_1 = 1000$

The volume of the cylinder is:

$V_2 = \pi r^2h$

The diameter (d) of the cylinder equals the length of the cube.

This means that:

$d = l$

$d = 10$

Divide by 2 to calculate the radius of the cylinder

$r = \frac{10}{2}$

$r = 5$

Also, the height of the cube is::

$h =l$

$h =10$

So, we have:

$V_2 = \pi r^2h$

$V_2 = \pi \times 5^2 \times 10$

$V_2 = \pi \times 25 \times 10$

$V_2 = \pi \times 250$

$V_2 = 785.4$

So, the volume (V) outside the cylinder is:

$V = V_1 - V_2$

$V = 1000 - 785.4$

$V = 214.6$

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

5 0

2 years ago

Factor 3(8x-4) <br> Sbshbshsbsh

tangare [24]

Answer:

i think its 24x-12? sorry if it is wrong

7 0

3 years ago

What is the value of X?<br><br> 80 cm<br> 20 cm<br> 12 cm<br> 10 cm

dangina [55]

Answer:

$x=12cm$

Step-by-step explanation:

Triangle DEF is similar to triangle HGF.

Therefore the corresponding sides are proportional.

We can write the following equations for the corresponding sides.

$\frac{DF}{HF}=\frac{EF}{GF}$

This implies that,

$\frac{16+40}{40}=\frac{x+30}{30}$

This gives us,

$\frac{7}{5}=\frac{x+30}{30}$

We cross multiply to get,

$7\times 30=5(x+30)$

We divide through by 5 to get,

$7\times 6=(x+30)$

We multiply to get,

$\Rightarrow 42=x+30$

Grouping like terms gives,

$\Rightarrow 42-30=x$

We simplify to obtain,

$\therefore x=12cm$

The correct answer is C

6 0

3 years ago

Read 2 more answers