Find the y intercept of the following equation y = 7/2 x - 10/7

A. 7/2
B. -7/2
C. 10/7
D. -10/7

Answers

Answer 1

Answer: Answer : D. -10/7
Steps:
y-intercept is y value when x=0.

y = 7/2 (0) - 10/7 =-10/7

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Use the rules for logarithms and exponents to write this equation in logarithmic form.?For the equation K = Ae^(-ΔH/RT), solve for ln K using logarithms and exponents.

Answers

Answer:

$ln K = ln (A) -(\Delta H)/(RT)$

Step-by-step explanation:

For this case we have the following expression:

$K = A e^{-(\Delta H)/(RT)}$ (1)

And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:

$ln K = ln(A e^{-(\Delta H)/(RT)})$

Using the following property:

$ln(xy) = ln (x) + ln(y)$ for x and y real numbers, x>0, y>0, then we have:

$ln K = ln (A) + ln (e^{-(\Delta H)/(RT)})$

Now since the natural log and the exponentiation are inverse operations we have this:

$ln K = ln (A) + (-(\Delta H)/(RT))$

And then the final expression for ln K is :

$ln K = ln (A) -(\Delta H)/(RT)$

- 5 + 7k = -19
Help pwease

Answers

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2

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.

Select all the values that make the inequality true n<-15A. -25
B. -1
C. -30
D. -19

Answers

The values that make the inequality n < -15 true are (a) -25, (c) -30 and (d) -19

How to determine the values that make the inequality true

From the question, we have the following parameters that can be used in our computation:

n < -15

The above means that

The values that make the inequality true are values less than -15

From the list of options, the values are

(a) -25, (c) -30 and (d) -19

Answers

Ok so i did it in this app

If the garden is to be 1250 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.