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zalisa [80]
3 years ago
8

You have 960 grams of a radioactive kind of yttrium. How much will be left after 30 hours if

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

You will have 120g Yttrium remaining

Step-by-step explanation:

Since the half life is 10 hours, and you are required to find out the remaining amount after 30 hours, you can do 30 / 10 = 3.

Yttrium undergoes its half life 3 times in 30 hours.

What you can do is divide the original amount by 2 thrice.

960/2 = 480 (1st half life)

480/2 = 240 (2nd half life)

240/2 = 120 (3rd half life)

You will have 120g Yttrium remaining

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
How do i calculate the percentage difference between two numbers????
lawyer [7]

When finding the percent difference between two numbers, there are two ways you can do this.

1. The first way is how to calculate the percentage INCREASE of two numbers:

-The formula is Increase / Original Number × 100 = % increase

Step 1: Find out the difference between the two numbers you're comparing. New number - Original number = Increase.

Step 2: Divide the increase by the original number and then multiply your answer by 100. (If your answer is a negative number, then it is a percent decrease, not a percent increase.)

2. The second way is how to calculate the percentage DECREASE of two numbers:

Step 1: Find out the difference between the two numbers you're comparing. Original number - New number = Decrease.

Step 2: Divide the decrease by the original number and then multiply your answer by 100. Decrease ÷ Original Number × 100 = % Decrease. (If your answer is a negative number, then is is a percent increase, not a percent decrease.)



8 0
3 years ago
2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.
liberstina [14]
Yes, this is because 2*4 equals 8
4 0
2 years ago
Crystal has 94 compact discs that she wants to put into boxes. Each of the
Oksana_A [137]
I say D you should probably wait for another answer though
4 0
3 years ago
Read 2 more answers
Perform the indicated operation.<br><br> (-6)(4)<br><br> 10<br> -10<br> 24<br> -24
Ray Of Light [21]

Answer:

-24

Step-by-step explanation:

All you really have to do is multiply -6 by 4, and that results in -24. Remember, if there is only one negative sign, it will be negative, but if zero or two negative signs are present, the answer will be positive.

7 0
3 years ago
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