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2 years ago

Find the radius and the diameter to the nearest hundredth when C = 7π yd. Use 3.14 for π.

Mathematics

1 answer:

valentinak56 [21]2 years ago

5 0

Answer:

Diameter = 7

Radius = 3.5

Step-by-step explanation:

Hi! Ace here.

So, the formula to find circumference is dπ or 2rπ

So to find the diameter, you do the circumference/π

To find the radius, you'd do the circumference/2π

Plug-in those numbers and there you go!

Hope this helps, let me know if you have any questions.

I know this was a very vague explanation so I encourage you to ask any questions. Thank you!

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3 years ago

If 800g of a radioactive substance are present initially and 8 years later only 450g remain, how much of the substance will be p

artcher [175]

A=Pe^(rt)

P = 800g

t = 8 years

A = 450g

r = This is what we will try and find to start with

450=800e^(r*8)

After running the math through a calculator, we end with r = -0.07192

Now we just re-input this information into our equation: A=800e^(-0.07192*16)

A=800e^(1.15072)

Now we will re-write the equation using the negative exponent rule:

A = 800 1/e^1.15072

Combine right side:

A = 800/e^1.15072

Then do the math:

A = 253.12709836......

That will give us A = 253 (rounded to the whole number)

I hope this helps! :)

5 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

zaharov [31]

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At 95%, the data lies between μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39 and 83

At 99.7%, the data lies between μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28 and 94

the probability equivalent to 94 is when P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

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3 years ago

Each pound of fruit costs $4. Write an expression that shows the total cost of fruit use the variable you identified in the ques

Gnesinka [82]

The expression would be j • $4

5 0

3 years ago

Read 2 more answers

The second step in the process for factoring the trinomial is to:

emmainna [20.7K]

Example: the second step in the process for factoring the trinomial x^2-3x-40 is to: Well you really should find the sum of the factors of −40 (not 40) 
But before you can do that, you need to LIST the factors of −40 (not 40) 
−1 * 40 
−2 * 20 
−4 * 10 
−5 * 8 
−8 * 5 
−10 * 4 
−20 * 2 
−40 * 1 

NOW we find the sum of the factors of −40 
−1 + 40 = 39 
−2 + 20 = 18 
−4 + 10 = 6 
−5 + 8 = 3 
−8 + 5 = −3 
−10 + 4 = −6 
−20 + 2 = −18 
−40 + 1 = −39 

Then we choose the factors of −40 whose sum is −3 ---> −8 and 5 
x^2 − 3x − 40 = (x − 8) (x + 5) 

So FIRST step is B, SECOND step is C, and final step is factoring. 
What Rita did was combine these 2 steps together, which you will learn to do as you get better at factoring.

8 0

3 years ago