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atroni [7]
3 years ago
10

Help with these two figured and you shall be granted points. Good deal, half off.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

5. C - 180ft²

6. D - 120m³

Step-by-step explanation:

5.

(6.5 x 11) = 71.5

(6 x 2.5) = 15

(6 x 11) = 66

(2.5 x 11) = 27.5

6.

((7.5 x 4)/2)(8) = 120

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An anthropologist finds bone that her instruments measure it as 0.012% of the amount of Carbon-14 the bones would have contained
cestrela7 [59]
The answer is 74,000 years.

It can be calculated using the equation:

<span><span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> </span></span></span></span></span></span></span></span></span></span></span></span> <span> </span></span></span><span> </span></span> (1/2) ^{n} = decimal amount remaining, where n is a number of half-lives.

<span>Decimal amount remaining is 0.00012 (= 0.012%). Let's calculate number of half-lives.</span>

(1/2)^{n} =0.00012<span>
</span>

⇒ n*log(1/2)=log(0.00012)

⇒ n= \frac{log(0.00012)}{log(1/2)}= \frac{log(0.00012)}{log(0.5)}

⇒ n ≈ 13

<span>
Now we know that number of half-lives is 13.</span>

Number of half-lives is quotient of total time elapsed and length of half-life.<span>
<span>So, total time elapsed is a product of length of half-life (5,730 years) and number of half-lives (13). Since 5,730 years × 13 = 74,490 years, then the person died 74,000 years ago (rounded to the nearest thousand).</span></span>

6 0
3 years ago
Simplify the radical expression.. square root of 128
Vaselesa [24]
Hello,

first we have to descompose the number:

128  | 2
  64  | 2
  32  | 2
  16  | 2
    8  | 2
    4  | 2
    2  | 2
    1

So: 
128= 2x2x2x2x2x2x2 \\ 128=2^{6} *2

Therefore:
\sqrt{128}= \sqrt{2^{6} *2}

You must know these properties:

\sqrt{a*b} = \sqrt{a} * \sqrt{b}\\ \\ \sqrt[b]{x^a}= x^{ \frac{a}{b}}

then:

\sqrt{2^{6} *2} \\ =\sqrt{2^{6}}*\sqrt{2} \\ =2^{ \frac{6}{2}}*\sqrt{2} \\ =2^3*\sqrt{2} \\ \boxed{=8*\sqrt{2}}
6 0
4 years ago
Make 24 using the numbers 1,4,8,8 use all four operations to solve your equation
yaroslaw [1]

One way is...

(8*4-8)*1

7 0
4 years ago
What is the surface area of a cylinder in 9in,7in, and 5in ?
lapo4ka [179]
50 I can’t even explain
4 0
3 years ago
Each bag of apples weighs 4½ pounds. How much would 3½ bags of apples weigh?\
bonufazy [111]

Answer:

15 3/4 pounds

Step-by-step explanation:

4.5*3.5=15.75

3 0
3 years ago
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