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salantis [7]
2 years ago
10

A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantit

y after 49 decades, to the nearest
hundredth?
Mathematics
1 answer:
solong [7]2 years ago
8 0

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

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For f(x)=x^2,sketch the graph of g(x)=f(-5x+10)
DiKsa [7]

The graph of g(x) = f(-5x+10) is given in the figure.

<h3>What is a graph?</h3>

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

<u><em>x </em></u><u>g(x)</u>

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

More about graph :

brainly.com/question/11616742

#SPJ1

3 0
1 year ago
Please help with 4. And 5
Hoochie [10]
More info please thanks
6 0
3 years ago
Find the volume of the sphere shown to the right. Give an answer in terms of pi and rounded to the nearest cubic unit.
Vladimir [108]
The correct answers are:
Exact volume = V = \frac{32}{3} \pi in^3
Approximate volume = V = 33.51 in^3 

Explanation:

The volume of the sphere is: V = \frac{4}{3} \pi r^3

Since r = 2 in

Hence
V = \frac{4}{3} \pi (2)^3 \\ V =  \frac{32}{3} \pi in^3 (exact)
V = 33.51 in^3 (approximate)
5 0
3 years ago
THE GREATEST PRODUCT
Alex17521 [72]

Answer:

<em>7*6543=45801</em>

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

5 0
2 years ago
A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a
Gekata [30.6K]

Answer:

12 dimes and 18 nickels

Step-by-step explanation:

Equations given by word problem:

n + d = 30

0.05n + 0.1d= 2.10

How I solved them:

d= 30 - n

0.05n + 0.1(30 - n)= 2.10

0.05n + 3 - 0.1n= 2.10

-0.05n= -.09

Divide both sides by -0.05

n= 18

18 + d = 30

d= 12

8 0
3 years ago
Read 2 more answers
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