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vodka [1.7K]
3 years ago
14

Find the value of y in the diagram below.

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer: \\ 4(2y - 20) + 2y = 720 \\ \Leftrightarrow 2(2y - 20) + y = 360 \\ \Leftrightarrow 4y - 40 + y = 360 \\ \Leftrightarrow 5y = 400 \\ \Leftrightarrow y = 80°

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A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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7 0
2 years ago
Hi I need help on this question I’m struggling May someone help me pls and thank u it’s urgent!!!!
kiruha [24]
I believe you’re correct.

y = 3x - 6
8 0
3 years ago
What’s the Answer to this
9966 [12]

Answer: the answer to this is 5n

5 0
3 years ago
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Write the equation of the line in fully simplified slope-intercept form.
Bad White [126]

Answer:

y = -\frac{2}{5} x-6

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m =\frac{y_2-y_1}{x_2-x_1}. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\  

So, the slope of the line is -\frac{2}{5}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6

6 0
3 years ago
X+4.9=7.28 x= what is the answer
Mandarinka [93]

Answer:

2.38

Step-by-step explanation:

subtract 4.9 on both sides

8 0
3 years ago
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