Andy's backpack weighs 2 1⁄4 pounds. If he removes a book that weighs 13 ounces, how much does the backpack now weigh?

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

vredina [299]

$-1\le\sin\theta\le1\implies(\csc\theta\le-1)\cup(\csc\theta\ge1)$

which means $\csc\theta=0$ has no solution, and we can omit that factor.

This leaves us with

$2\cos\theta-1=0\implies\cos\theta=\dfrac12$

which occurs for $\theta=\pm\dfrac\pi3+2n\pi$ .

3 0

3 years ago

The reciprocal parent function is translated 5 units right and 3 units up. Write an equation to represent the new function.

ladessa [460]

Answer:

The new function is $y=\frac{1}{x-5}+3$ , where x ≠ 5

Step-by-step explanation:

The reciprocal parent function is $f(x)=\frac{1}{x}$ , where x ≠ 0

The translation of f(x) to the right h units is f(x - h)

The translation of f(x) up k units is f(x) + k

The translation of f(x) to the right h units and up k units is f(x - h) + k

∵ The equation of the reciprocal parent function is $y=\frac{1}{x}$

∵ The function is translated 5 units right

∴ h = 5

- That means 5 is subtracted from x ⇒ (x - 5)

∵ The function is translated 3 units up

∴ k = 3

- That means y added by 3

∴ $y=\frac{1}{x-5}+3$

The new function is $y=\frac{1}{x-5}+3$ , where x ≠ 5

3 0

3 years ago

Can someone help me with this asap.

Sever21 [200]

Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

4 0

2 years ago

If the mean weight of 4 backfield members on the football team is 222 lb and the mean weight of the 7 other players is 198 lb, w

hoa [83]

To find the Mean or Average you have to add up all numbers it is asking for which in case are 222 and 198.

so you will add 222+198

That will equal 420

Then you will divide with the amount added together which is 2

420/2=210

so the mean of the 11 people is 210 or 210lbs

5 0

3 years ago

Mr. Jones wants to place a chimney on his roof. It is recommended that the chimney be set at a height of at least 30 feet. The h

Tom [10]

Absolute value of any number is always positive because it represent distance and distance will always positive.

To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.

Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40

Since, minimum height is 30 feet.

So , substitute f(x)=30 in above expression.

30=−4/3|x−10| + 40

4/3|x−10| = 10

|x−10|=30/4

|x−10| = 7.5

Taking positive case,

x−10 = 7.5

x = 17.5 feet

Taking negative case,

x−10 = - 7.5

x = 10 - 7.5

x = 2.5 feet

Learn more:

brainly.com/question/14473339

7 0

2 years ago