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3 years ago

What’s the expression for “seven times x is no more than 15”

1 answer:

8 0

The answer is 7x≤15 because 7 times x (7x) can't be greater than 15, so the inequality would be less than or equal to because it had to be less than or equal to 15.

7x≤15

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Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

3 years ago

Four dice, each numbered in the usual way from 1 to 6, are colored white, red, green and blue respectively. After casting them a

Delvig [45]

Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
We need to interpret the statement given above. The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has.
3+4+4+6+6+5= 28 / 6
= 4.67 The mean is 4.67
For the variance, we will use the mean above ( 4.67 )

1. Squared the mean and subtract how many numbers are present in the set.
4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result

3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25

9+16+16+36+36+25= 138

3. Subtract the result of #2 with #1
138 - 3.64= 134.36 set this aside

4. Subtract 1 from the total numbers you have in your set

6 - 1= 5

5. Divide the result we have in #3 with the result of #4

134.36 / 5= 26. 872

So the variance is 26.872

5 0

3 years ago

What is the axis of symmetry equation from f(x)=-x^(2)-6x

Sergeeva-Olga [200]

Answer:

$\lim_{n \to \infty} a_n$ 13

Step-by-step explanation:

6 0

3 years ago

The ___________ is how steep a straight line is.

Aleonysh [2.5K]

The answer is D. Slope

8 0

3 years ago

Read 2 more answers

If 590 stufents preferred either pepperoni or cheese, how many students were surveyed in all?i

tatyana61 [14]

Answer:

if the only choices were pepperoni and cheese then 590 students were surveyed. I think there may be more to the question that you left out by accident

3 0

3 years ago