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OLga [1]
3 years ago
13

The solution set of an absolute value inequality is shown.Please no links​

Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

Answer:

x≤ -4 ≤ 2

Step-by-step explanation:

I am honestly not sure but this seems right. Good luck.

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You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
Vikki [24]

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

<h3>What is half-life?</h3>

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

  • R' = R/(2^{T/t})............. Equation 1

Where:

  • R = Original amount of Cesium
  • R' = New amount of cesium
  • T = Total time
  • t = Half-life

From the question,

Given:

  • R = 8640
  • T = 120 years
  • t = 30 years

Substitute these values into equation 1

  • R' = 8640/(2^{120/30})
  • R' = 8640/2^{4}
  • R' = 8640/16
  • R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: brainly.com/question/25750315

4 0
2 years ago
Express this number in scientific notation <br><br>96,470,000
11111nata11111 [884]

Answer:

9.647 x 10 to the 7th

Step-by-step explanation:

that's the answer

8 0
3 years ago
Q # 5 please. Find the area of the triangle
photoshop1234 [79]
All you ever have to do is multiply the base and the length and divide by 2, so it would look like this... 8x3÷2 which would be 12
4 0
3 years ago
Read 2 more answers
A spherical balloon is inflating with helium at a rate of 6464piπ StartFraction ft cubed Over min EndFraction ft3 min. How fast
Dmitrij [34]

Answer:

the surface area​ will increase 16  feet per minute

Step-by-step explanation:

Allow me to revise your question for a better understanding.

<em>A spherical balloon is inflating with helium at a rate of 64π Start Fraction ft cubed Over min End Fraction ft3 min. How fast is the​ balloon's radius increasing at the instant the radius is 2 ​ft? How fast is the surface area​ increasing? </em>

My answer:  

Given that:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}  (1)

As we know that, the volume of a  spherical balloon can be calculated by using the following formula:

V = \dfrac{4}{3}\pi r^3 where r is the radius

Substitute V into (1), we have:

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

In this situation, the instant radius is: 2f

So we have:

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

The radius of the balloon is increasing at a rate of 4 feet per minute

The the surface area​ has the formula as:

SA1 = 4πr^{2}

If the radius of the balloon is increasing at a rate of 4 feet per minute, so the

the surface area​ will increase 16  feet per minute  because:

SA2 : 4π(4r)^{2}  = 16 (4πr^{2} ) = 16 SA1

Hope it will find you well.

8 0
4 years ago
3.5 with a line on top of five =
Diano4ka-milaya [45]

Answer:

7/2

Step-by-step explanation:

7 0
3 years ago
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