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alisha [4.7K]
3 years ago
12

2-1 help anyone pls............

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

In what book?

Step-by-step explanation:

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A certain radioactive isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of t
Verdich [7]
A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
              t:                 m:
              0                32 g
             15               16 g
             30                 8 g
             45                 4 g
             60                 2 g
             75                 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )                       
7 0
3 years ago
twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number
Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

5 0
2 years ago
I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

\frac{1}{9}(x-5)=7

9\times \frac{1}{9}(x-5)=7\times 9

x-5=63

x-5+5=63+5

x=68

Therefore, Reuben bought 68 plants at the nursery.

6 0
3 years ago
A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?
scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

  • Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

  • Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
  • Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0
3 years ago
A study shows that employees who begin their workday at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a
jeka94

Answer:

0.2 or 20%

Step-by-step explanation:

If the times of arrival vary uniformly, there is an equal chance of an employee reporting at any given time between 8:40 and 9:30.

The range between 8:40 and 9:30 is 50 minutes.

The range between 9:00 and 9:10 is 10 minutes.

Therefore, the  probability that a randomly chosen employee reports to work between 9:00 and 9:10 is:

P(9:00\leq X\leq 9:10)=\frac{10}{50}=0.20=20\%

The probability is 0.2 or 20%.

6 0
3 years ago
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