Rabbit Population The rabbit population in a certain area is 200% of last year's population. There
are 700 rabbits this year. How many were there last year?
There were rabbits last year.
♡

Answer:

3/2

Step-by-step explanation:

Answer:

slope = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 14, - 18) and (x₂, y₂ ) = (- 10, - 12) ← 2 ordered pairs from the table

m = [tex]\frac{-12+18}{-10+14}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

10

Step-by-step explanation:

Let the number of blue balls be x.

Number of red balls = 5

Total number of balls = x + 5

P (getting a red ball)  = 5/x+5

P (getting a blue ball)  = x/x+5

Given that

2(5/x+5) = x/x+5

10(x+5) = x^(2) +5x

x^(2)-5x-50=0

x(x-10)(x+5)

Now either x-10 = 0 or x+5= 0

But number of balls cannot be negative.

Hence, the number of blue balls is 10.

Answer:

Step-by-step explanation:

|x+3| = 10  means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)

|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)

However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.

I hope this helps give you an idea of what you're looking at, though :)

Answer:

I believe it would be -3,4.

Step-by-step explanation:

To find slope you use rise over run, where you count up first, then go to the side. If you count down on the left you count 3 boxes, but since its going down its negative. And to get the run you count over 4. Meaning it's -3,4

Answer:

5 and 9 are coefficients , -4 is a constant, and there are 3 terms in this expression.

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

Answer:

y = 4 - 2x

Step-by-step explanation:

Hope this helps! Have a great day!

The point of collision is θ = π/6.

A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.

The given equations are r = √3 + 2cosθ and r = 4cosθ.

The characters will collide at the intersection of these paths, the intersection of the two equations is given by:

√3 + 2cosθ = 4cosθ

4cosθ - 2cosθ = √3

2cosθ = √3

cosθ = √3/2

θ = cos⁻¹(√3/2)

θ = π/6

Hence, the point of collision is θ = π/6.

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Answer: x= -5/2  y=-5

Step-by-step explanation:

Answer:

21q-30

Step-by-step explanation:

If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.

Answer:

Because, the situation is going up, the integer is +12 or 12.

Answer:

B, the parabola is narrower.

Step-by-step explanation:

Given the parent square function: x^2.

A vertical stretch by a scale factor of 3 is made to transform x^2 into 3x^2.

A stretch makes the function narrower, a compression makes the function wider.

Therefore the parabola is narrower.

Answer:

C

Step-by-step explanation:

y = 1/2x^2 + 2x - 6

When, x = 0, y = - 6

you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.

The graph of the given equation is the graph C

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, y = x²/2+2x-6, we need to identify the graph for the same,

y = x²/2+2x-6

Put x = 0,

y = -6

Point = (0, -6)

Put x = 2,

y = 2+4-6

y = 0

Point = (2, 0)

Put x = -6

y = 18-12-6

y = 0

Point = (-6, 0)

If we see all these points are lying in graph C, which means the graph C is satisfying the condition of the given equation,

Hence, the graph of the given equation is the graph C

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Answer:

5.00

Step-by-step explanation:

5.00

Answer:

The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.

The conjecture we can make is C. The sum is equal to the no. of terms squared.

According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.

We know that the sum of first 'n' odd natural numbers is n².

So, the sum of first 33 odd natural numbers is (33)² which is = 1089.

Let us prove this by AP.

First term(a₁) is = 1.

common difference(d) = 2.

No. of terms (n) = 33.

∴ aₙ = a₁ + (n-1)d

aₙ = 1 + (33-1)2

aₙ = 1 + 32(2).

aₙ = 1 + 64.

aₙ = 65.

∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].

S₃₃ = 33/2×[ 2 + 64].

S₃₃ = 33/2×66.

S₃₃ = 33×33.

S₃₃ = 1089.

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Answer:

A≈165553.09

Step-by-step explanation:

To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

The formula for calculating the amount of money in an account with continuous compounding is:

[tex]A = Pe^{(rt)}[/tex]

where:

A = the amount of money in the account after t years

P = the principal amount invested

r = the annual interest rate (as a decimal)

t = the time in years

e = Euler's number (approximately 2.71828)

Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:

[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]

A ≈ $174,529.50

Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

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Answer: convey- make an idea understandable; theme- subject or topic; poem- writing in speech and song, with stanzas; stanza- group of lines, verse

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-3 replaces f which is x so its 3 time -3 which is -9 -5

Answer:

-14

Step-by-step explanation:

f(-3)= 3(-3) - 5

3 x -3 = -9

-9 - 5 = -14

-14 is your answer ;)

Answer:

2.19230769231

Step-by-step explanation:

turn that into a fraction use internet

Answer:

Step-by-step explaunfere:

The circumference of a circle is the distance around the outside of the circle. The diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference.

1- C ≈ 50.27 in

2- C ≈ 31.42 in

3- A ≈ 201.06

4- A ≈ 314.16

5- C = 14π = 43.982 ≈ 44 inches

π (Pi) times the Radius squared: A = π r2

or, when you know the Diameter: A = (π/4) × D2

or, when you know the Circumference: A = C2 / 4π

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

[tex]3\leqN\leq5\cdots(i)[/tex]

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

[tex]0\leq P \leq 10\cdots(ii)[/tex]

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

[tex]0\leq 5P \leq 50[/tex]

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

[tex]R\geq3\cdots(iii)[/tex]

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

[tex]3R\leqNR\leq5R[/tex]

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Answer:

B. 3.805 x 10^7

Step-by-step explanation:

[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]

Answer:

15 miles

Step-by-step explanation:

1 hour would be 7.5 miles an hour. So if you just add another one on then it'll be 15.