What is -a ^-2 if a=-5

A. -25
B.25
C.-1/25
D.1/25​
what is -a ^-2 if a=-5 A. -25 B.25 C.-1/25 - 1

Answers

Answer 1
Answer:

Answer:

-1/25

Step-by-step explanation:

- (a)^-2

Let a = -5

- (-5)^-2

-1/(-5)^2

-1/25

Answer 2
Answer:

Answer:

  -1/25

Step-by-step explanation:

-(-5)^-2 = -1/(-5)^2 = -1/25


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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Answer:

\displaystyle y=-(1)/(2)x+4

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-(1)/(2)

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-(1)/(2)(x-2)

Operating

\displaystyle y=-(1)/(2)(x-2)+3

Simplifying

\displaystyle y=-(1)/(2)x+4

That is the equation in slope-intercept form. Intercept: y=4

A = 1 −7 −1 2 , B = 3 7 −1 0 , C = 1 0 −1 1 Find: a) BC, b) 5A − 2C, c) A + C,

Answers

Answer:

b

Step-by-step explanation:

Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64. a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.

Answers

Answer:

bsjsisisos9ss9w9s9s9

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor. a. Write the differential equation satisfied by y in terms of proportionality k.
b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days.
c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.
d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.

Answers

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

(dy)/(dt)\ \alpha\  y(1-y)

(dy)/(dt)=ky(1-y)

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

(dy)/(dt)=ky(1-y)\n(dy)/(y(1-y))=kdt\n\int\limits {(dy)/(y(1-y))} \, =\int\limit {kdt}\n\int\limits {(dy)/(y)} +\int\limits {(dy)/(1-y)}  =\int\limit {kdt}\n\nln(y)-ln(1-y)=kt+c\nln((y)/(1-y)) =kt+c\ntaking \ exponential \ of\ both \ sides\n(y)/(1-y) =e^(kt+c)\n(y)/(1-y) =e^(kt)e^c\nlet\ A=e^c\n(y)/(1-y) =Ae^(kt)\ny=(1-y)Ae^(kt)\ny=(Ae^(kt))/(1+Ae^(kt)) \nat \ t=0,y=10\%\n0.1=(Ae^(k*0))/(1+Ae^(k*0)) \n0.1=(A)/(1+A) \nA=(1)/(9) \n

y=((1)/(9) e^(kt))/(1+(1)/(9) e^(kt))\ny=(1)/(1+9e^(-kt))

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

y=(1)/(1+9e^(-0.8959t))\n0.75=(1)/(1+9e^(-0.8959t))\nt=3.68\ days

A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

Answers

Answer:

(\pi )/(100)

Step-by-step explanation:

The first thing to notice is that the diamond is just a square rotated 45 degrees square, with 90 feet sides, so the total area of the diamond is:

A(square)= l x l = 90 ft * 90 ft = 8100 ft^(2)

We also need to calculate the area of the mound, assuming it being a circle:

A(circle)= \pi * r^(2)  And r=diameter/2= 18 ft/2 = 9 ft

A(circle) =  \pi * (9 ft)^(2) = 81\pi ft^(2)

Now since the ball has an equal chance of bouncing anywhere in the field, the probability would be the ratio of the area occupied by the mound inside of the diamond.

P= (81\pi ft^(2))/(8100 ft^(2))=(\pi )/(100)

90(squared) + 90 (squared) = C (squared)
(we use 90 because the base path is 90 ft long since the diamond is a square that makes all sides 90 ft long)
8100 + 8100 = c(squared)
16200 = c(squared)
we will get the square root of 16200 to get the diagonal length
C=127.3 ft, and since it is the diagonal distance we will device it to 2, to get the distance from the pitcher ro the 2nd base.
127.3/2 = 67.7 ft.
67.7 ft is the distance from the pitcher to the 2nd base.

What is 1 divided by a negative number with negative exponent:
1/-4^-5

Answers

Answer: I got -1024...

Step-by-step explanation:

Other Questions
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