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Blizzard [7]
3 years ago
13

Someone Please help!!

Mathematics
1 answer:
Lerok [7]3 years ago
5 0
I just can help u with
D: all real numbers
R: [3,infinity)
y -intercept :(0,4)
max.: none
min.: (1,3)
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Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,
Dmitry_Shevchenko [17]

Answer:

\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250

Step-by-step explanation:

Given:

T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}

now we need to solve this integral!

T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}

T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0

T = \left|-1250e^{-0.04t}\right|^{\infty}_0

T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})

when any number has a power of negative infinity it is 0. because: a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0, like something being divided by a very large number!

T = (-1250(0))-(-1250e^0)

T = 1250

this is the total amount of waste

6 0
2 years ago
Whats 5 plus 8 plus 25 divided by 6
Leno4ka [110]

Answer:

 6 2/6 in fractions or 6.3333.

6 0
2 years ago
Read 2 more answers
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.
slega [8]
A) 110 - (3 × 14x) = 68
B) 3×14 is 42 so he spent $42 in two weeks 42+68= 110 so he had $110 to begin with
C) he will run out of money in about 22 days (22.6666666667)
4 0
3 years ago
Read 2 more answers
An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus
Margaret [11]

The <em>maximum</em> distance between any two points of the ellipse is 34 feet.

<h3>Procedure - Determination of the distance between two points of a ellipse</h3>

The maximum distance between any two points of a ellipse is the <em>maximum</em> distance between the ends of the ellipse along the <em>longest</em> axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in <em>standard</em> form is defined by this formula:

\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1 (1)

Where:

  • h, k - Coordinates of the center of the ellipse.
  • a, b - Lengths of each semiaxis.

Hence, the maximum distance (d_{max}), in feet, is calculated by this formula:

d_{max} = 2\cdot b (2)

If we know that b = 17, then the maximum distance between any two points of the ellipse is:

d_{max} = 2\cdot (17\,ft)

d_{max} = 34\,ft

The <em>maximum</em> distance between any two points of the ellipse is 34 feet. \blacksquare

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

<em>An elliptical-shaped path surrounds a garden, modeled by </em>\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1<em>, where all measurements are in feet. What is the maximum distance between any two points of the path.</em>

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

5 0
2 years ago
What is the midpoint of a line segment with endpoints at<br> (-3.5, -2.1) and (5.7,3.3)?
Tanzania [10]

Answer:

(1.1 , 0.6)

Step-by-step explanation:

midpoint (x , y): ( x+x') /2 , (y+y') / 2

x = (-3.5 + 5.7) / 2 = 2.2 / 2 = 1.1

y = (-2.1 + 3.3) / 2 = 1.2 / 2 = 0.6

8 0
3 years ago
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