Multiply.

Mathematics

1 answer:

maria [59]4 years ago

7 0

The answer would be B

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The half-life of cesium-137 is 30 years. Suppose we have a

VMariaS [17]

(a) If $y(t)$ is the mass (in mg) remaining after $t$ years, then $y(t) = y(0) e^{kt}=100e^{kt}.$

$y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}$

(b) $y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}$

(c)
$100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}$

3 0

3 years ago

You use 4 gallons of water on 30 plants in your garden. At that rate how much water will it take to water 45 plants?

Troyanec [42]

The easiest way to do this is with cross-multiplication.

4 gallons for 30 plants is written as 4/30

x gallons for 45 plants is written as x/45

Multiply 4 x 45 = 180

divide by 30

= 6 gallons of water

7 0

3 years ago

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1. Solve 4x – 5 > 2x + 17.<br> There’s a line _ under the greater sign

Rudiy27

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

6 0

3 years ago

A kennel has 8 adult dogs and 14 puppies. What is the ratio of adult dogs to puppies? Use a multiplicative comparison to explain

umka2103 [35]

14 to 8 14/8 = (14 ÷ 2)/(8 ÷ 2) = 7/4 = 1 3/4 Your answer is 1 and 3/4

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3 years ago

Given A = {1, 3, 5}, B = {2, 4, 6} and C={1, 2, 3, 4, 5, 6}, then A ∪ (B ∩ C)

Serggg [28]

B ∩ C is an intersection, which means only values that are present in both B and C are picked. So...
B ∩ C = {2, 4, 6}
A ∪ (B ∩ C) is a union, which means you combine all values, but discard duplicates. So...
A ∪ (B ∩ C) = {1, 2, 3, 4, 5, 6}

8 0

3 years ago

Read 2 more answers