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torisob [31]
3 years ago
10

Radiation​ machines, used to treat​ tumors, produce an intensity of radiation that varies inversely as the square of the distanc

e from the machine. At 3​ meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2.7 ​meters?The intensity is______milliroentgens per hour. (Round to the nearest tenth as needed.)
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

77.2 milliroentgens per hour

Step-by-step explanation:

The first step is to find the constant of proportionality

I ∝ 1/d²

I = k/d²

62.5 = k/(3)²

k = 562.5

The second step is to calculate the intensity at 2.7 meters:

I = 562.5/d²

I = 562.5/(2.7)²

I = 77.2 milliroentgens per hour

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polet [3.4K]
The inequality is < so 2/4 < 5/6.
5 0
3 years ago
Help me please!!!!!!!​
user100 [1]

Answer:

C

Step-by-step explanation:

The explanation in option choice C is better than what I can give, but the triangles are similar, meaning they either share angles or side lengths, not congruent, where they have to share both.

8 0
3 years ago
Round 219.870754015 to the nearest hundred.
KatRina [158]

Answer:

200

Step-by-step explanation:

Because you are rounding to the hundreds, you look at the tens place. The tens place is a "1" and 1 is below five, so you round down to 200.

4 0
3 years ago
Read 2 more answers
Wels at its next
xenn [34]

This question is not correctly written

Complete Question

The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answer:

They should give away 100 balls and 100 towels

Step-by-step explanation:

Let the number of balls = x

Let the number of towels = y

x + y = 200........ Equation 1

y = 200 - x

$3 × x + $2 × y = $5000

3x + 2y = 5000...... Equation 2

3x + 2(200 - x)= 5000

3x + 400 - 2x = 5000

Collect like terms

3x - 2x = 500 - 400

x = 100

Number of balls to be given away = 100

Note:

y = 200 - x

y = 200 - 100

y = 100

Number of towels to be given away = 100

Therefore, they should give away 100 balls and 100 towels

3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
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