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2 years ago

50 POINTS!! Please help ASAP!!!

Mathematics

1 answer:

dlinn [17]2 years ago

6 0

Answer:

A. $6^{\frac{1}{12}}$

Step-by-step explanation:

$\dfrac{\sqrt[3]{6}}{\sqrt[4]{6}} = 6^{\frac{1}{3} - \frac{1}{4}} = 6^{\frac{4}{12} - \frac{3}{12}} = 6^{\frac{1}{12}}$

Answer: A. $6^{\frac{1}{12}}$

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Change 75 millimeters to decimeters. A. 750 dm B. 7.5 dm C. 7500 dm D. .75 dm

n200080 [17]

We know that 1 mm=0.01 dm
75 mm=0.75 dm
choice D

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2 years ago

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,

Kazeer [188]

Answer: 2.66 × 10⁻¹³

Step-by-step explanation:

First, use the decay formula $A=A_oe^{kt}$ where

A is the final amount (amount left)
A₀ is the initial amount (amount you started with)
k is the rate of decay (you need to solve for this)
t is the time

Given:

A = 1/2(300) = 150
A₀ = 300
k = unknown
t = 28.8

$150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\$

Next, input the k-value and the new t-value to solve for A.

A = unknown
A₀ = 300
k = -0.0240676
t = 1440

$A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\$

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3 years ago

!!!?!!?!?!!??!!!!!!!!!?!

Eva8 [605]

Answer:

Step-by-step explanation:

Substitute n for 10, 11 and 13

45 - 10 = 35

45 - 11 = 34

45 - 12 = 33

The answer is ten because when substituting n for 10, the equation

35 = 45 - 10

is true

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2 years ago

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Simplify the ratio 24/56

Brrunno [24]

How to solve:
Step 1 : Note down the given ratio from the questions.

Step 2 : Find the greatest common factor, and divide the numerator and denominator by that value.
Answer: 3:7

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2 years ago

3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

x+x+1=x+2=72

3x+3=72

3x=69

x=23

23+24+25=72

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3 years ago