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3 years ago

PLEASE ANSWER THIS MATH QUESTION !! THANK U !! 19 POINTS AND BRAINLIEST !!

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

Answer:

Step-by-step explanation:

the side x looks smaller than 8 m.

The only option smaller than 8 m is a, 5.2 m

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A sample of tritium-3 decayed to 94.5% of its original amount after a year.

Zolol [24]

(a) If $y(t)$ is the mass after $t$ days and $y(0) = A$ then $y(t) = Ae^{kt}.$

$y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945$

$\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\ ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}$

(b)
$Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}$

3 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept slope=7/4, y-intercept= -5

Radda [10]

The equation is y=7/4x-5

6 0

3 years ago

What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4?

Anastasy [175]

Answer:it is 2 since it include3s all possible answers for both heads & tails.

Step-by-step explanation:

you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can <u>just times 4*2 & know that you have 8 possible answers.</u>

8 0

3 years ago

Patti earns $13.50 per hour. She is offered a raise of 7% increase per hour. After the raise,how much will Patti make per hour?

scoray [572]

20.50 is the amount patti is making per hour

3 0

3 years ago

Read the instructions

nordsb [41]

Answer:

Step-by-step explanation:

$\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}$

Multiply the equation by 4

$4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\$

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

$\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\$

Multiply the equation by 6

$6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\$

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3 15x - 18y = 12

(II)*5 <u>-15x + 70y = 40</u> {Now add}

52y = 52

y = 52/52

y = 1

Substitute y =1 in equation (I)

5x - 6*1 = 4

5x - 6 = 4

5x = 4 +6

5x = 10

x = 10/5

x = 2

7 0

3 years ago