What is the equation of the line with a slope of -1/2 that passses through the points (6,6)?

Answers

Answer 1

Answer: m = slope

Lets put this in point slope form, and slope intercept form.

y - 6 = -1/2(x - 6)
y - 6 = -1/2x + 3
+ 6 + 6

y = -1/2x + 9

Answer: y = -1/2x + 9

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A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold with a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?

Answers

Answer:

cylinder — 90π in³
pyramid — 37 1/3 in³
cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

A = s²

The area of a circle of radius r is ...

A = πr²

___

Using these formulas, the volumes of these objects are ...

cylinder: (9π in²)(10 in) = 90π in³

square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

Answer:

12.5

Step-by-step explanation:

if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

= $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

Learn more about reserve rate here:

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If the reserve rate is 7% and a bank receives a deposit of $9,000. How much of the $9,000 is the bank free to lend? $8,370

A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 14.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.9 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

1.8k AND 57k

Step-by-step explanation:

D(b) is a function that models the population of deer based on the number of bobcats in an area. What is an appropriate domain for this function?A) D = {all integers}
B) D = (all real numbers}
C) D = {rational numbers}
D) D = {all whole numbers}

Answers

Answer:

Option: D is the correct answer.

D) D = {all whole numbers}

Step-by-step explanation:

As we could see that the number of deer i.e. the population of the deer is based on the number of bobcats in an area.

As the number of bobcats can't be negative or in a fraction or negative it will always be in a whole number (i.e. 0 represents that there are no bobcats, 1,2,.....)

Hence, the correct domain for the function is:

D) D = {all whole numbers}

Option D: all whole numbers, given that the number of bocats cannot be either iirrational or a fraction or a negative number. Only a whole number.

Tanx cosx = 0

15 POINTS!

Answers

$tanx\ cosx=0;\ \ \ \ D:x\neq(\pi)/(2)+k\pi;\ (k\in\mathbb{Z})\n\ntanx* cosx=0\iff tanx=0\ \vee\ cosx=0\n\ntanx=0\iff x=k\pi\n\ncosx=0\iff x=(\pi)/(2)+k\pi\notin D\n\nSolution:x=k\pi\ (k\in\mathbb{Z})$

Tan = sin / cos./ / / Tan cos = (sin/cos) cos = sin = 0 / / / x = any multiple of 180 degrees.

Which of the following formulas would find the lateral area of a right cylinder with height equal to h and r as the radius?A. LA = 2r2
B. LA = 2r
C. LA = 2rh
D. LA = 2r2 + 2rh