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3 years ago

Use the explicit formula an=a1+(n-1)

Mathematics

2 answers:

Ronch [10]3 years ago

6 0

The anwser is a hope it helps

azamat3 years ago

3 0

$T_n = a_1 + (n - 1) d$

The sequence is:
24, 31, 38,45, 52

We can see from the sequence:
a = 24, d = 7

Find nth term:
$T_n = 24 + 7(n - 1)$
$T_n = 24 + 7n - 7$
$T_n = 7n + 17$

When = 500,
$T_{500} = 7(500) + 17$
$T_{500} = 3517$

Answer: 500th term is 3517

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You are feeding a baby alligator named Joseph with 11 pounds of fresh meet in per week.how many grams of meat does Joseph eat pe

laiz [17]

Answer:

The correct answer is C. 5,000

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of fresh meat Joseph eat per week = 11 pounds

2. How many grams of meat does Joseph eat per week?

Let's answer the question this way:

Conversion of pounds to kilograms

Number of kilograms = 11/2.2

Number of kilograms = 5

Conversion of kilograms to grams

Number of grams = 5 * 1,000

Number of grams = 5,000

The correct answer is C. 5,000

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3 years ago

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.

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3 years ago

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Harrizon [31]

You at the photos and what you see put it down and what you know put it down

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3 years ago

In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the me

Alja [10]

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

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3 years ago

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kati45 [8]

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3 years ago