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Suppose a bunny farm initally has 20 bunnies. After 2 years the population grew to 80 bunnies.
A) Find f(T)=mT+b, where f(T) is the bunny population after every 2 months. Answers must be in Exact Form, Round 3 decimals, and Change of Base
B) What is the bunny population after 16 weeks?
C) How many months will it take for the bunny population to reach 300 bunnies? Answers must be in Exact Form, Round 3 decimals, and Change of Base

In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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The answer to the given expression is 2

To "solve" or "isolate" a variable is to place it on its own side of the equation.

All other variables or constants should be moved to the opposite side of the equation using inverse operations. The operations must be applied to both sides of the equation in order to maintain the equation's balance.

Given : x = 5 and y = 7

To find :  \(\frac{y^{2} - x }{y + 3x}\)

When we substitute the values mentioned above in this above expression we get;

\(\frac{7^{2}- 5 }{ 7+ 3X5}\)

⇒ \(\frac{49 - 5}{ 7 + 15}\)

⇒ \(\frac{44}{22}\)

On dividing it with 22 we get

\(\frac{44}{22}\) = 2

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Answer:

√-2 ≈ 1.41i

Step-by-step explanation:

√-2 = i√2 = i × 1.414.. ≈ 1.41i

Answer:

a = -10

Step-by-step explanation:

Simplifying

7 + 4(2a + 15) = -13

Reorder the terms:

7 + 4(15 + 2a) = -13

7 + (15 * 4 + 2a * 4) = -13

7 + (60 + 8a) = -13

Combine like terms: 7 + 60 = 67

67 + 8a = -13

Solving

67 + 8a = -13

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-67' to each side of the equation.

67 + -67 + 8a = -13 + -67

Combine like terms: 67 + -67 = 0

0 + 8a = -13 + -67

8a = -13 + -67

Combine like terms: -13 + -67 = -80

8a = -80

Divide each side by '8'.

a = -10

Simplifying

a = -10

The first five terms in the recursive sequence defined by a_1 = 150 and a_n = 0.85a_n-1 are:

a_1 = 150

a_2 = 0.85150 = 127.5

a_3 = 0.85127.5 = 108.375

a_4 = 0.85108.375 = 91.8125

a_5 = 0.8591.8125 = 77.853125

A recursive sequence is a sequence of numbers where each successive term is determined by the value of previous terms, typically by applying a mathematical operation to those terms.

Therefore, the first five terms in the recursive sequence are 150, 127.5, 108.375, 91.8125, and 77.853125.

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Answer:

(2, -3)

Step-by-step explanation:

Answer:(-2,-3)

Step-by-step explanation: -2 is x and -y is 3.

A= 5*6 - 3*2

 = 30 - 6

 = 24 in^2

first solve for the entire shaped. Even with the non shaded area.

5×6=30in

now solve for the non shaded area.

3×2=6

since you dont want the non shaded subtract it from the entire shape so

30-6=24in

the area of the shaded region is 24in

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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22 (what number is in the middle one you put it in ascending order)

18 (the first quartile is the first quarter of the sorted list)

23 (the third quarter, the number in between the last number and the median)

5 (the range between quartile 1 and quartile 3)

Have a great day <3

Answer:

5 verticles

Step-by-step explanation:

Answer:The pyramid has 5 vertices

Step-by-step explanation:You basically add all the corners from the pyramid together.

Answer:

  30

Step-by-step explanation:

Apparently, you want to evaluate the expression for s=5 and g=3. Put those numbers in place of the respective variables and do the arithmetic.

  3s +5g =

  3(5) +5(3) = 15 +15 = 30

It will cost 30 to rent the shoes and play the games.

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.

You can determine the overall cost as follows:

Total cost equals fixed costs plus. (Variable costs per unit x Number of units)

Total expense equals $984,000 plus ($14.50 x 480,000)

Cost in total is $7,224,000.

To reach a net profit of $1,500,000, we must add the following sum to the whole expense:

Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.

($7,224,000 + $1,500,000) / 480,000 = selling price

Price to Sell: $17.55

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

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Answer:

--------------------------

To determine the selling price, we first need to calculate the total  variable cost:

Now calculate the required revenue:

Find the required selling price per unit:

Ans = Error

The value of x is unknown Therefore, it cannot be simplified.

Try giving the value of x and I will try again.

Answer:

x=3

Step-by-step explanation:

Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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Answer:A

Step-by-step explanation:

-112.84-54.14-(-29.18)

-112.84-54.14+29.18=-137.8

Answer:

Option A is correct.

Answer:

Y+Z/Z = X/L

X= (44/14)4 = 12.57(nearest 2 decimal

Answer:

Event A = 5/9

Event B = 4/8

we multiply these to get 5/9 x 4/8 = 20/72 = EVEN ODD

and 4/9 x 4/8  = 16/72  ODD EVEN

5/9 X 5/ 8 = 25/72 =  ODD ODD

4/9 X 3/8 = 12/72 = EVEN EVEN

Therefore; Random =

P) (20 + 16 + 25 + 12) / 4(72) = 72/ 4(72) =72/ 288 = 0.25 = 1/4

Step-by-step explanation:

Answer:

MY name's Jeff and The answer's 5/9

Step-by-step explanation:

The amount of odd numbers are 5 and out of the 9 you have a chance of getting one, so you would have a 5/9 chance

Tell me if I'm incorrect

Answer:

The slope is 0, then the line is horizontal.

y = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

15 + q = 6q

Step-by-step explanation:

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

\(E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}\)

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the p-value as follows:

\(p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091\)

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

Answer:

the answer is 6 trust. poopoo

Answer:

3

Explanation:

\(\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}\)

\(\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}\)

m = 3

if the square has the same perimeter as the rectangle then the value of y is 92.

The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.

The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.

Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.

28cm = y/4+5cm

You can solve for y by isolating it on one side of the equation.

years/4+5 = 28

y/4 = 23

y=92

So the value of y is 92.

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Answer:

I help!!

Step-by-step explanation:

1. we know that Cara lost 4 less teeth than Kathleen, and the number of teeth Kathleen lost is represented by K. So, any equation that shows K-4=C will do.(feel free to use that equation)

2. this is essentially the same as the first equation, just reversed. So use + instead of -, and instead of ending up with =C you should end up with =K

You are still using the same plugs, C, 4 and K.

3. This is basic math. Cara lost 3 teeth, Kathleen lost 4 more than cara. So, 3+4=?

Answer:

The answer would be: $125 trillion

The country want to keep the debt-to-GDP ratio is at 20% while increasing the debt from $15 trillion to $25 trillion.

If debt-to-GDP is 20% and the debt is $25 trillion then the GDP of the country would be:

debt/GDP= 20%

GDP= debt/ 20%= $25 trillion/20%= $125 trillion

Step-by-step explanation: