Answer:
176 yards per minuye
Step-by-step explanation:
Answer:
27.76 grams will be present in 500 years
Step-by-step explanation:
The given formula is , where A is the value of the substance in t years, and is the initial value
∵ The half-life is a substance is 375 years
- Substitute A by and t by 375 to find the value of k
∴
- Divide both sides by
∴
- Insert ㏑ in both sides
∴ ㏑( ) = ㏑ ( )
- Remember ㏑ ( ) = n
∵ ㏑ ( ) = 375 k
∴ ㏑( ) = 375 k
- Divide both sides by 375
∴ k ≈ -0.00185
∴
∵ 70 grams is present now
- That means the initial value is 70 grams
∴ = 70
∵ The time is 500 years
∴ t = 500
- Substitute the values of and t in the formula
∵
∴ A = 27.76
∴ 27.76 grams will be present in 500 years
We know that
A number written out showing the sum of
each place value in the number is a number in expanded form.
<span> When writing numbers in </span>expanded form<span>, we must remember that it simply means to extend the </span>digits<span>, or numbers, out according to their place value
Examples</span>
<span>
the answer isPlace Value</span>
Answer: A. 12
WORKINGS
Given the data set for 11 seasons of play14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
Quartiles (usually 3 in number; Q1. Q2 and Q3) divide a rank-ordered data set into four equal parts
14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
First order the data set by rank
12, 14, 16, 19, 21, 22, 25, 27, 28, 30, 32
Q1 is the first quartile
Q2 is the second quartile
Q3 is the third quartile
Interquartile range = Q3 – Q1
The median value in the set, Q2 = 22
First half of the rank-ordered data set is therefore 12, 14, 16, 19, 21
While the Second half of the rank-ordered data set is 25, 27, 28, 30, 32
The median value in the first half of the set, Q1 = 16
The median value in the second half of the set, Q3 = 28
Interquartile range = Q3 – Q1
Therefore, interquartile range = 28 – 16
= 12
The interquartile range of the data is 12
Answer:
c = 6
Step-by-step explanation:
The compound inequality is c < x < 5
If we want a value of c such that there are no solutions, we need to make that inequality false.
From the inequality we can see that 5 must be greater than c to be true.
Therefore, we need to choose a value smaller or equal than 5.
For example, c=6.
If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.
Therefore, our compound inequality 6 < x < 5 has no solutions.