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2 years ago

What point divides the directed line segment AB into a 2:3 ratio?

Mathematics

2 answers:

loris [4]2 years ago

5 0

<span>segment AB into a 2:3 will divide at (8,1)

answer
</span><span>(8, 1)</span>

Mashcka [7]2 years ago

3 0

AB is 10 units long, so a ratio of 2:3 translates to 4:6 in units.

4 units ahead of A is 4+4 = 8

The answer is (8, 1)

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

2 years ago

Help, please???? This work is hard...

uranmaximum [27]

Answer:

EASY PEASY

Step-by-step explanation:

9²

HOPE IT HELPS YOU

5 0

1 year ago

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Subtract and simplify: 4y/y^2-10y+21-1/y-3

Eva8 [605]

OK...... your answer would be

- 10y^2 - 26y + 1/y
H0P3 It H3LPS :)

3 0

3 years ago

What is estimate 4.23-2.51

ruslelena [56]

The answer is 1.72 and it would be 2 if u estimated

4 0

2 years ago

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Explain how you can use a number line to show that 5/8 is greater than 3/8

vladimir2022 [97]

You can start by drawing a number line and labeling it with eighths. ( 1/8, 2/8, etc.) Then you can place a dot on 3/8 and 5/8. From there, it's clear to see that 5/8 is greater than 3/8.

6 0

2 years ago

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