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3 years ago

Write the equation of the circle centered at ( 7 , − 5 ) (7,-5) with diameter 16

1 answer:

galina1969 [7]3 years ago

3 0

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.

If the diameter is 16, then the radius is 8.

Your equation is:
(x - 7)² + (y + 5)² = 64

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The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha

zimovet [89]

The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

$\\ \\ W_{t}=96(0.5)^{t}$

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0

3 years ago

Read 2 more answers

Help pleaseeeeeeeeeeee

lina2011 [118]

Answer:

$\sqrt{54}$ and $\sqrt{120}$

Step-by-step explanation:

If a number 'x' is a perfect square, then $\sqrt{x}$ is rational.

25, 36 and 81 are perfect squares, but 54 and 120 aren't, so the irrational values are $\sqrt{54}$ and $\sqrt{120}$

3 0

3 years ago

Read 2 more answers

Find the slope of the line

Maslowich

Answer:

1/2

Step-by-step explanation:

(2,1)(4,2)

x1-y1/x2-y2

slope:m=1/2

7 0

3 years ago

#9 was the the one I need help with anyone plz help Thank You:)

pentagon [3]

Your answers are wrong. the function f(x) is like a factory. you put in something ( a number) and it will spit you out something else (a different number depending on the function). your function, f (x)= -2x+1

you can put anything in that function. let say k.
f(x=k) = -2k+1. you just replace the x with k.
in this particular problem they way f(-2) ,f(0), f(1) and f(2).
here are the results
f(x=-2) = f(-2) = -2×(-2)+1 =5
f(x=0) = f(0) = -2×(0)+1 =1
f(x=1) = f(1) = -2×(1)+1 =-1
f(x=2) = f(2) = -2×(2)+1 =-3

3 0

3 years ago

Use some of the digits 1,3,5,7,9 only once to write 5 numbers less than 2000

Yuri [45]

Answer:

1357, 1359, 1579, 1573, 1375, 1379, 1957, 1953

Step-by-step explanation:

Since this number needs to be less than 2000, the first number has to be 1. You can randomly pick and choose any of the numbers after that.

3 0

4 years ago