The vertices of a triangle are at (0, 0), (6, 6), and (9, 3). What is the volume, in cubic units, of the figure created by rotating the triangle about y = x?

36 π 2 36\pi\sqrt{2} 3 6 π 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

54 2 54\sqrt{2} 5 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

324 2 324\sqrt{2} 3 2 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

108 π 2 108\pi\sqrt{2} 1 0 8 π 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

A function, f ( x ) = A sin ⁡ ( B x ) + H , f\left(x\right)=A\sin\left(Bx\right)+H, f ( x ) = A sin ( B x ) + H , has the following properties: a period of 6 a minimum value of 2 f(2.5) = 5 and A, B, and H are all positive constants. What are the values of A, B and H?

A = 2 , B = π 3 , H = 4 A=2,\ B=\frac{\pi}{3},\ H=4 A = 2 , B = 3 π , H = 4

A = 4 , B = π 3 , H = 2 A=4,\ B=\frac{\pi}{3},\ H=2 A = 4 , B = 3 π , H = 2

A = 2 , B = π 6 , H = 4 A=2,\ B=\frac{\pi}{6},\ H=4 A = 2 , B = 6 π , H = 4

A = 4 , B = π 6 , H = 2 A=4,\ B=\frac{\pi}{6},\ H=2 A = 4 , B = 6 π , H = 2

Which method is most likely to produce a random sample of 5 students from a school club?

selecting 5 club members from a hat containing the names of all members

selecting 5 club members who have brown hair

selecting the 5 club members who have raised the most funds for the club

selecting the 5 club members who arrive last to a club meeting

A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors selected was 2.85, and the standard deviation was 0.4. Select all of the statements that are true. Note: Margin of error ≈ 2 s n , \approx2\frac{s}{\sqrt{n}}, ≈ 2 n <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> s , where s is the standard deviation and n is the sample size.

The margin of error for the mean grade point average is about 0.092.

The margin of error would decrease if the sample size were changed to 125 seniors.

The margin of error for the mean grade point average is about 0.057.

The margin of error would increase if the sample size were changed to 125 seniors.

The police chief of a town is trying to determine the average speed of drivers on a specific road. • The police chief took a random sample of the speeds of 100 drivers on the road. • The mean was 48.5 miles per hour, with a standard deviation of 2.5 miles per hour. • The police chief wanted to decrease the margin of error of his next sample. Which choice would decrease the margin of error? Note: Margin of error ≈ 2 s n , \approx2\frac{s}{\sqrt{n}}, ≈ 2 n <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> s , where s is the standard deviation and n is the sample size.

changing the time that the data is collected

changing the road on which the data is collected

NC Math 3 EOC Released

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NC Math 3 EOC Released

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.IF.A.2, HSG.CO.C.11, HSF-IF.C.7A

+16

Standards-aligned

Heather Hobbins

Used 127+ times

FREE Resource

33 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If
$f\left(x\right)=k\left(x-2\right)^4,\$ where k is positive, what is the effect on the graph of f(x) as k increases?

The graph of f(x) is shifted up.

The graph of f(x) is shifted down.

The graph of f(x) is stretched vertically.

The graph of f(x) is stretched horizontally.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of a function is shown below. Which interval is the function decreasing?

$\left(-4,-1\right)$

$\left[-2,0\right)$

$\left(0,2\right]$

$\left(0,4\right]$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of a function is shown below. Which interval is the function increasing?

$\left(-4,-1\right)$

$\left[-2,0\right)$

$\left(0,2\right]$

$\left(0,4\right]$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of a function is shown below. Which interval is the function positive?

$\left(-4,-1\right)$

$\left[-2,0\right)$

$\left(0,2\right]$

$\left(0,4\right]$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of a function is shown below. Which interval is the function negative?

$\left(-4,-1\right)$

$\left[-2,0\right)$

$\left(0,2\right]$

$\left(0,4\right]$

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function does NOT have the set of all real numbers as its domain?

$f\left(x\right)=5^x-3$

$f\left(x\right)=\frac{x+1}{x+3}$

$f\left(x\right)=\left|2x-1\right|$

$f\left(x\right)=\cos\left(x\right)+1$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of an equation is shown.
Which equation represents the graph?

$y=\left|x\right|-2$

$y=\left|2x\right|-2$

$y=\left|x-2\right|$

$y=\left|2x-2\right|$

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company makes and boxes spaghetti.
• One machine fills each box with approximately 32 ounces of spaghetti.
• After the boxes are filled, another machine weighs each box.
• A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.
Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

$\left|x-0.25\right|\le32$

$\left|x+0.25\right|\le32$

$\left|x-32\right|\le0.25$

$\left|x+32\right|\le0.25$

Tags

CCSS.HSA.CED.A.3

FILL IN THE BLANK QUESTION

1 min • 1 pt

Two functions are shown below.
$f\left(x\right)=2x^3+2x-3$ $g\left(x\right)=-0.5\left|x-4\right|$
What is the y-value when f(x) = g(x)?

Tags

CCSS.HSA.REI.C.7

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two piecewise functions are shown.
What is the value of $3h\left(2\right)+4g\left(1\right)$ ?

-6

Tags

CCSS.HSF.IF.A.2

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NC Math 3 EOC Released

33 questions

If f(x)=k(x−2)4, f\left(x\right)=k\left(x-2\right)^4,\ f(x)=k(x−2)4, where k is positive, what is the effect on the graph of f(x) as k increases?

The graph of a function is shown below. Which interval is the function decreasing?

The graph of a function is shown below. Which interval is the function increasing?

The graph of a function is shown below. Which interval is the function positive?

The graph of a function is shown below. Which interval is the function negative?

Which function does NOT have the set of all real numbers as its domain?

The graph of an equation is shown.Which equation represents the graph?

Two functions are shown below. f(x)=2x3+2x−3f\left(x\right)=2x^3+2x-3f(x)=2x3+2x−3 g(x)=−0.5∣x−4∣g\left(x\right)=-0.5\left|x-4\right|g(x)=−0.5∣x−4∣ What is the y-value when f(x) = g(x)?

Two piecewise functions are shown. What is the value of 3h(2)+4g(1)3h\left(2\right)+4g\left(1\right)3h(2)+4g(1) ?

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Discover more resources for Mathematics

If
$f\left(x\right)=k\left(x-2\right)^4,\$ where k is positive, what is the effect on the graph of f(x) as k increases?

The graph of an equation is shown.
Which equation represents the graph?

Two functions are shown below.
$f\left(x\right)=2x^3+2x-3$ $g\left(x\right)=-0.5\left|x-4\right|$
What is the y-value when f(x) = g(x)?

Two piecewise functions are shown.
What is the value of $3h\left(2\right)+4g\left(1\right)$ ?