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Andreyy89
3 years ago
11

WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
It’s B actually :) hope this helps
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write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0,7)
Fudgin [204]
Y = -4/5 + 7, the 7 is the slope intercept and the -4/5 is the slope
7 0
3 years ago
Read 2 more answers
Find the length of the missing side. PLEASE HURRY
Margarita [4]

Answer:

C. 40in

Step-by-step explanation:

a^{2}+b^{2} =c^{2} \\

so...

24^{2} +32^{2} =c^{2}

24^{2} = 576\\32^{2} =1024

576+1024=1600

\sqrt{1600} = 40

the missing side = 40in

8 0
3 years ago
9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

A(t) = A(0)e^{-kt}

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0
3 years ago
What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?
adoni [48]
1. 
<span>All three angles are equal and their sum is 180. </span>
<span>3 (3x-12) = 180 </span>
<span>9x -36 = 180 </span>
<span>9x = 180+36 </span>
<span>9x = 216 </span>
<span>x = 216/ 9 = 24 </span>

<span>2. </span>
<span>Area of an equilateral triangle = (sqrt(3)/4 ) s^2 = 270.633 </span>
<span>s^2 = 270.633 / [ sqrt(3) /4] </span>
<span>s^2 = (4)(270.633) / sqrt(3) </span>
<span>s^2 = 625 </span>
<span>s = 25 (side) </span>

<span>Follow the procedure in the link: we don't need the altitude. </span>
<span>r = 25/sqrt(3) =14.43 

</span>
7 0
3 years ago
Read 2 more answers
Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph
natima [27]

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

7 0
3 years ago
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