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Mila [183]
3 years ago
7

Does y=0.8(2.1)^x represent exponential growth or decay?

Mathematics
1 answer:
makkiz [27]3 years ago
5 0
The function represents exponential growth.

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How do you solve 2/3x -10=-12
marta [7]

Answer:

x=-3

Step-by-step explanation:

Question: \frac{2}{3x} -10=-12

1) Add 10 to both sides:

\frac{2}{3x} =-2

2) Multiply both sides by the reciprocal of 2/3: (3/2)

x=-2*\frac{3}{2}

x=\frac{-6}{2}

3) Simplify the fraction:

x=-3

5 0
4 years ago
What are the solutions to m2 – 9 = 0?
stiv31 [10]

Answer:

m=-3

Step-by-step explanation:

m2-9=0

2 divied by 9 =3

when you have a positive number and a negitive number =a negitive

I think you get the point

4 0
3 years ago
Read 2 more answers
Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the
alexira [117]

Answer:

dV=542.9 cm^{3}    

Step-by-step explanation:

Let's start with the equation of the volume of a cylinder:

V=\pi r^{2}*h

Where:

  • r is the radius of the cylinder (r=D/2=24/2=12 cm)
  • h is the high of the cylinder (h = 60 cm)

We can us partial derivatives to find the differential of this volume. So we will have:

dV=\frac{\partial V}{\partial r}dr+\frac{\partial V}{\partial h}dh (1)

Now:

\frac{\partial V}{\partial r}=2\pi r*h=2\pi 12*60=4523.9 cm^{2}

\frac{\partial V}{\partial h}=\pi 12^{2}=452.4 cm^{2}

dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.

Now we just need to put all of this definitions in the equation (1).

dV=4523.9*0.1+452.4*0.2=542.9 cm^{3}    

I hope it helps you!

6 0
4 years ago
Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased
Mnenie [13.5K]

Answer:

B 10 pounds

Step-by-step explanation:

Start with what you know.  You know that almost 5 dollars per pound. and that cashews cost 2 dollars per pound. If there are 10 pounds of cashews, that is 20 dollars worth of cashews.  then if you use your head you will figure out that there are 10 pounds.

7 0
3 years ago
Are triangles DEF and LNM similar if DF = 8 and LM = 4?
Alex73 [517]

Answer:

not enough information

Step-by-step explanation:

We know <E is congruent to <N.

We know the lengths of one pair of sides.

That is not enough information to prove that the triangles are similar.

6 0
3 years ago
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