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1 year ago

Giselle has $16.25 in her wallet and needs to get to her uncle’s house 8 miles away.

Mathematics

1 answer:

kow [346]1 year ago

8 0

She will have $1.50 left in her wallet.

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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

<u></u>

<u>Finally:</u>

$t=816y$

3 0

2 years ago

Name two rays that contain the following line segments: • QP• SU (the options for QP are: rays PU; QP; TQ; NP; MS)(the options f

julsineya [31]

From the figure, segment QP is in the ray RP and RP contains N and Q in between

so from the options, the two rays will be : ray QP and ray NP

For SU :

segment SU is in the ray RU and RU contains S and T in between,

so from the options again, the two rays will be : ray RU and ray SU

5 0

1 year ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, 2); m = 2/3

77julia77 [94]

Answer:

$y - 2 = \frac{2}{3}(x-3)$

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Slope: $\frac{2}{3}$

Point: (3, 2) = (x1, y1)

To write the equation in point-slope form, we need to know the values of the slope and one point. Since we've already been given those values, all we have to do is input them into the equation:

y - y1 = m(x - x1)

$y - 2 = \frac{2}{3}(x-3)$

The equation in point-slope form is: $y - 2 = \frac{2}{3}(x-3)$

4 0

2 years ago

Use the right formula from the image to find the length of the segment with endpoints at (2, 7) and (8, -1). Show your work.

Marina CMI [18]

Answer: i believe the correct formula is A

Step-by-step explanation:

7 0

1 year ago

Find x: 2(4x − 3) − 8 = 4 + 2x

MariettaO [177]

X = 3

2(4x - 3) - 8 = 4 + 2x

1. Distribute

8x - 6 - 8 = 4 + 2x

2. Collect like terms

8x - 14 = 4 + 2x

3. Collect like terms again (add 14 and subtract 2x)

6x = 18

4. Divide by 6

x = 3

4 0

2 years ago

Read 2 more answers