find the upper limit for the zeros of the function P(x)=4x^4+8x^3-7x^2-21x-9

a) -3
b) 2
c) 3

The graph in the upper left corner best shows the population size of a K-selected species over time in a stable environment.

This graph shows the population of the species increasing at a slow rate until it reaches the carrying capacity of the species (the dashed line). After reaching the carrying capacity, the population of the species remains relatively stable, fluctuating slightly around the carrying capacity. This is evidence of a K-selected species, which tend to have a higher carrying capacity and longer life spans, and the population size remains relatively stable over time in a stable environment. Mathematically, this can be expressed as y = K = C, where y is the population size, K is the carrying capacity, and C is the constant value of the carrying capacity.

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Answer:

46,206

Step-by-step explanation:

simple math

Answer:

the answer is 46,206

Step-by-step explanation:

Good luck!!!!

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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Answer:

2

Step-by-step explanation:

Answer:

y = 3 + 1.5x

Step-by-step explanation:

4y = 12 + 6x

Solving for variable 'y'.

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

Divide each side by '4'.

y = 3 + 1.5x

Simplifying

y = 3 + 1.5x

Answer:

y = 3/2x + 3

Step-by-step explanation:

Given :

To Do :-

Solution :-

The given equation is ,

⇒ 4y - 6x = 12

⇒ 4y = 6x + 12

⇒ y = ( 6x + 12 )/4

⇒ y = 3/2x + 3

Answer:

  A

Step-by-step explanation:

It looks like you can make the short table ...

(recipe, ounces, servings, ounces/serving)

(A, 28, 14, 28/14 = 2.00)

(B, 9, 12, 9/12 = 0.75)

(C, 1.3, 1, 1.3/1 = 1.30)

Recipe A uses the most flour per serving of pizza.

Answer:

A

Step-by-step explanation:

Answer:

if you mean 15k as is 15 thousand then the answer would be 15,010

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

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Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

Answer: 1

Step-by-step explanation:

1 is both perfect square and cube.

Answer:

Here :)

Step-by-step explanation:

Reflect over x axis: (-x,y)

Reflect over y axis: (x,-y)

Rotate 90 degrees clockwise: (y,-x)

Rotate 90 degrees counter clockwise: (-y,x)

Rotate 180 around origin:  A(x,y) becomes A'(-x,-y)

Rotate 90 degrees clockwise around (2,0) Translate +2 horizontally -2 vertically:(2, -4)

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

\($$SA = 2lw + 2lh + 2wh$$\)

where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.

Step-by-step explanation:

Given that,

\(y=\dfrac{e^x+1}{1-e^x}\)

We need to find dy/dx

\(\dfrac{dy}{dx}=\dfrac{d}{dx}(\dfrac{e^x+1}{1-e^x})\\\\=\dfrac{1-e^x\dfrac{d}{dx}(e^x+1)-(e^x+1)\dfrac{d}{dx}(1-e^x))}{(1-e^x)^2}\\\\\because \dfrac{d(e^x)}{dx}=e^x\\\\=\dfrac{1-e^x(e^x)-(e^x+1)(-e^x)}{(1-e^x)^2}\\\\=\dfrac{e^x(e^x+1)+(1-e^x)e^x}{(1-e^x)^2}\\\\=\dfrac{\mathrm{e}^x\left(\mathrm{e}^x+1\right)+\left(1-\mathrm{e}^x\right)\mathrm{e}^x}{\left(1-\mathrm{e}^x\right)^2}\\\\=\dfrac{2\mathrm{e}^x}{\left(\mathrm{e}^x-1\right)^2}\)

Hence, this is the required solution.

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

27

Step-by-step explanation:

Let x be the number

2/3 x+4 = 22

Subtract 4 from each side

2/3x +4-4 = 22-4

2/3 x = 18

Multiply each side by 3/2

3/2 ( 2/3x) = 18 * 3/2

x = 27

Answer:

\(\Huge \boxed{27}\)

Step-by-step explanation:

Let the number be x.

\(\frac{2}{3} x+4=22\)

Solve for x.

Subtract 4 from both sides.

\(\frac{2}{3} x+4-4=22-4\)

\(\frac{2}{3} x=18\)

Multiply both sides by \(\frac{3}{2}\).

\(\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}\)

\(x=27\)

The number is 27.

Answer:

Is the question original or you simply made it.

The number of posters Jill had on Monday are 18.

The equation is p + 8 - 4 = 22.

Given that:-

Number of posters bought by Jill on Tuesday = 8

Number of posters left on Thursday = 22

We can write,

Number of posters destroyed on Wednesday = (1/2)*8 = 4

Let the number of posters Jill had on Monday be p.

Hence, the equation for the posters is given by:-

Posters on Monday + Posters bought on Tuesday - Posters destroyed on Wednesday = Total posters on Thursday

It can be written as:-

p + 8 - 4 = 22

Solving the equation, we get

p + 4 = 22

p = 22 - 4

p = 18

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Answer:

nope

nope

nopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenope

\(\huge\text{Hey there!}\)

\(\huge\textbf{ASSUMING:}\\\\\mathsf{2\times2\times3\times5\times5}\\\mathsf{= 4\times3\times5\times5}\\\mathsf{= 12\times5\times5}\\\mathsf{= 60\times5}\\\mathsf{= 300}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{300}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Step-by-step explanation:

To find Δy and Δx (change in y and change in x), you need to do y2-y1 and x2-x1.

Example on how to solve problem 1:

change in y: Pick 2 numbers from the y side of the table that are next to each other (it doesn't matter which 2 ). You're going to subtract the first one one the list that you picked from the second one from the list that you picked. example: 4-1= 3

change in x: repeat the same process with the x side of the table (make sure that you pick x points that go with the y, otherwise it won't work). If you picked 4-1 on the y table, the you have to pick 0- -3, which equals 3 (due to two negatives making a positive).

now, you divide your change in y by your change in x. example: 3÷3 = 1. This means that your m (slope) = 1 (on the first problem)

This kinda sounds confusing but hope this helps a bit. If not, you can look up lots of tutorials online with better explanations :)

Answer:

3(1/3x+8)=11

Step-by-step explanation:

The period and frequency for each of these functions f(x)=sinx-5 and g(x)=cos x+2 is 1) Frequency is 1 and 2)Period is 2π.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given functions are

f(x) = sin x - 5

g(x) = cos x + 2

Now compare the given function f(x) = sin x - 5 with f(x) = a sin [b(x + c)] + d

a = 1

b = 1

c = 0

d = -5

The frequency of the function is b =1.

Now compare the given function g(x) = cos x + 2 with g(x) = a cos [b(x + c)] + d

a = 1

b = 1

c = 0

d = 2

The frequency of the function is b =1.

The period of a function is 2∏/ frequency.

Putting frequency = 1

The period of the functions is 2∏/1 = 2∏.

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Answer:

m<A = 40°

m<C = 113°

Step-by-step explanation:

Problem 1:

m<A = ½(arc BC) (Inscribed angle theorem)

Substitute

m<A = ½(80°)

m<A = 40°

Problem 2:

Given that m<A = 67°

Recall: angels that are opposite each other in any given inscribed quadrilateral are supplements of each other.

Thus, it implies that:

m<A + m<C = 180°

Substitute

67° + m<C = 180°

Subtract 67° from each side

m<C = 180° - 67°

m<C = 113°

Answer:

below is correct

Step-by-step explanation:

Answer:

I just need points I have ro freaking clue

Answer:

Step-by-step explanation:

Donna guessed 400 but there were 480 so she was off by 80