Under ideal conditions, the population of a certain species doubles every nine years. If the population started with 100 individuals, which of the following expressions gives the population of the species t years after the population started, assuming that the population has been living under ideal conditions?

100 × 2 t 9 100\times2^{\frac{t}{9}} 1 0 0 × 2 9 t

2 × 10 0 9 t 2\times100^{9t} 2 × 1 0 0 9 t

2 × 10 0 t 9 2\times100^{\frac{t}{9}} 2 × 1 0 0 9 t

100 × 2 9 t 100\times2^{9t} 1 0 0 × 2 9 t

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image back onto the original triangle?

reflection across the line y = -x

rotation 270° counterclockwise around the origin.

rotation 180° counterclockwise around the origin.

reflection across the line y = x

Simplify: 5 − 24 5\sqrt{-24} 5 − 2 4 <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">

10 i 6 10i\sqrt{6} 1 0 i 6 <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">

4 i 6 4i\sqrt{6} 4 i 6 <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">

9 i 6 9i\sqrt{6} 9 i 6 <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">

Compare ƒ(x) = -2x 2 - 8x + 20 to the graph of g(x) shown. What can you conclude about the two functions?

ƒ(x) has a greater maximum than g(x).

g(x) has a greater maximum than ƒ(x).

ƒ(x) has a minimum, while g(x) has a maximum.

g(x) and ƒ(x) have the same maximum.

Over which interval is the function below increasing or decreasing? f ( x ) = − x + 1 + 5 f\left(x\right)=-\sqrt{x+1}+5 f ( x ) = − x + 1 <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"> + 5

Decreasing; x ≥ − 1 x\ge-1 x ≥ − 1

Increasing; x ≤ − 1 x\le-1 x ≤ − 1

Decreasing; x ≥ 5 x\ge5 x ≥ 5

Decreasing; x ≥ 1 x\ge1 x ≥ 1

Simplify: 5 − 24 5\sqrt{-24} 5 − 2 4 <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">

10 i 6 10i\sqrt{6} 1 0 i 6 <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">

4 i 6 4i\sqrt{6} 4 i 6 <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">

9 i 6 9i\sqrt{6} 9 i 6 <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">

Which of the following is true?

cos ⁡ ( B ) = 7 25 \cos\left(B\right)=\frac{7}{25} cos ( B ) = 2 5 7

cos ⁡ ( B ) = 24 25 \cos\left(B\right)=\frac{24}{25} cos ( B ) = 2 5 2 4

tan ⁡ ( B ) = 7 24 \tan\left(B\right)\ =\frac{7}{24} tan ( B ) = 2 4 7

sin ⁡ ( A ) = 24 25 \sin\left(A\right)=\frac{24}{25} sin ( A ) = 2 5 2 4

Over which interval is the function below increasing or decreasing? f ( x ) = − x + 1 + 5 f\left(x\right)=-\sqrt{x+1}+5 f ( x ) = − x + 1 <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"> + 5

Decreasing; x ≥ − 1 x\ge-1 x ≥ − 1

Increasing; x ≤ − 1 x\le-1 x ≤ − 1

Decreasing; x ≥ 5 x\ge5 x ≥ 5

Decreasing; x ≥ 1 x\ge1 x ≥ 1

Math 2

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Mathematics

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10th Grade

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Practice Problem

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Hard

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NC.M2.A-APR.1, CCSS.8.G.A.5, CCSS.HSN.RN.A.2

Standards-aligned

Badrinath L

Used 2+ times

FREE Resource

54 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

the measure of two angle of a triangle is 77 degrees, and 55 degrees. what type of triangle is this triangle

right triangle

obtuse triangle

acute triangle

scalene triangle

Tags

NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

when a shape is flipped over the x axis it is...

a reflection

a translation

a rotation

a dialation

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NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

prove it

asa

sas

aaa

sss

Tags

NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

what is the value of o

112

235

Tags

NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Geraldo has a deck of cards and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?

3 ⁄ 15

2 ⁄ 65

7 ⁄ 52

14 ⁄ 260

Tags

NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the xy-plane, what is the y-intercept of the graph of the equation $y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$ ?

-9

$-\frac{1}{2}$

Tags

NC.M2.A-APR.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the angle relationship?

Alternate Interior

Alternate Exterior

Corresponding

Same Side Interior

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NC.M2.A-APR.1

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For which of the following values of x is the function $f\left(x\right)=\sqrt{4-x^2}$ NOT defined as a real number?

-2

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NC.M2.A-APR.1

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Math 2

54 questions

the measure of two angle of a triangle is 77 degrees, and 55 degrees. what type of triangle is this triangle

when a shape is flipped over the x axis it is...

prove it

what is the value of o

Geraldo has a deck of cards and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?

In the xy-plane, what is the y-intercept of the graph of the equation y=6(x−12)(x+3)y=6\left(x-\frac{1}{2}\right)\left(x+3\right)y=6(x−21​)(x+3) ?

What is the angle relationship?

For which of the following values of x is the function f(x)=4−x2f\left(x\right)=\sqrt{4-x^2}f(x)=4−x2​ NOT defined as a real number?

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In the xy-plane, what is the y-intercept of the graph of the equation $y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$ ?

For which of the following values of x is the function $f\left(x\right)=\sqrt{4-x^2}$ NOT defined as a real number?