Write an expression in simplest form the perimeter of the figure ?

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]

Answer:

106.13

Step-by-step explanation:

855-255.2=636.8

636.8/6=106.13333

Answer:

x+15 = 3(x-5)

Step-by-step explanation

Let the william present age be a, we are to find the equation representing William's claims​

15 years from now, williams age will  be x+15

5 years ago, his age will be x - 5

if 15 years from now his age will be 3 times his age 5 years ago, this is expressed as;

x+15 = 3(x-5)

Hence the required equation is x+15 = 3(x-5)

Given:

The equation of ellipse is

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]      ...(ii)

On comparing (i) and (ii), we get

[tex]b^2=16[/tex]

Taking square root on both sides.

[tex]b=\pm 4[/tex]

Consider only positive value of b because length cannot be negative.

[tex]b=4[/tex]

Now,

Length of minor axis = [tex]2b[/tex]

                                  = [tex]2(4)[/tex]

                                  = [tex]8[/tex]

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

The unitary method is used to find the unit value of any quantity.

(a)The human heart pumps 300 quarts/hour.

(b) The human heart pumps 4.730 liters/minute.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

Reading on the label is 5quarts/min.

Since, 60 min = 1 hour

Use unitary method to get,

1 min = 1 / 60 hour.

Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)

                                                                         = 5 × 60

                                                                         =  300

Since, 1 quart = 0.946 liter

The pumping of blood in liter/minute = 0.946 × 5

                                                               = 4.730.

Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.

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Answer:  - 1/3

Step-by-step explanation:

Answer:

is there an image provided?

Step-by-step explanation:

Answer:

No point

Step-by-step explanation:

This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.

Answer:

No, it can not

Step-by-step explanation:

Hope this helped have an amazing day!

answer it is right at right write L.C.M

Answer:

THE ANSWER IS 9

bc you will distribute 2x+16-2 18÷2 =9

Answer:

Domain is all real numbers, and range is all integers.  (D)

Answer:

If the table is:

x=2 y=22

x=7 y=77

x=9 y=99

you can see that 22/2=11 same with 7/77 and 9/99

r=11

Step-by-step explanation:

pretty simple but i probably explained it horribly

The constant of proportionality (r) is 11 for the given variables in the table.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The table is given in the question consists as:

The value of variable x = 2 when variable y = 22

The value of variable x = 7  when variable y = 77

The value of variable x = 9  when variable y = 99

We have to determine the constant of proportionality (r)

the constant of proportionality (r) = y / x

Substitute the values in the above equation,

the constant of proportionality (r) = 22/2 = 7/77 = 9/99 = 11

the constant of proportionality (r) =11

Thus, the constant of proportionality (r) is 11 for the given variables in the table.

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Answer:

[tex]\huge\boxed{k=3.5}[/tex]

Step-by-step explanation:

[tex]\dfrac{y}{x}=constant=k[/tex]

Divide the y value by its corresponding x value:

[tex]\dfrac{14}{4}=\dfrac{7}{2}=3.5\\\\\dfrac{17.5}{5}=3.5\\\\\dfrac{21}{6}=\dfrac{7}{2}=3.5\\\\\dfrac{24.5}{7}=3.5[/tex]

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

[tex]2P_o=P_o(1+0.08)^t[/tex]

Simplifying:

[tex]2=(1.08)^t[/tex]

Taking logarithms:

[tex]\log 2=\log (1.08)^t[/tex]

Applying the exponent property of logs:

[tex]\log 2=t\log (1.08)[/tex]

Solving for t:

[tex]\displaystyle t=\frac{\log 2}{\log (1.08)}[/tex]

Calculating:

[tex]t\approx 9[/tex]

It will take 9 years for the population to double

Answer:

it is 184

Step-by-step explanation:

Answer: 184

Step-by-step explanation:

Stella is projected to make $184 in April because 130% MORE than $80 should be $184. Therefore, the answer is B. Sorry if I'm wrong!

Here is the calculator I used to figure this out! V Please mark brainliest.

calculateme

Answer:

The total flow in gallons is approximately 16.524 gallons

Step-by-step explanation:

The given diameter of the tank, D = 18 inches

The amount by which the water depth rose, Δh = 15 inches

The quantity being measured = The total flow = The change in volume of water in the tank

The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh

Substituting the known values, gives;

ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³

1 gallon = 231 in.³

ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³)  ≈ 16.524 gallons

The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.

Answer:

The y-intercept is 12.

It represents the original length of the candle.

Step-by-step explanation:

y = 12 - 0.2x

y = 0.2x + 12

y = mx + b

b is the y-intercept.

b = 12

The y-intercept is 12.

It represents the original length of the candle.

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

An institutional investor is a person or organization that trades securities in large enough quantities that it qualifies for preferential treatment and lower fees. A retail investor is an individual or non-professional investor who buys and sells securities through brokerage firms or savings accounts.

tip: make sure to reword it

Answer:

Lender

Quizzz review some of this the test name is

Math Math Math!!!!

10 questions

By:Mrs. Bagauisan

Answer:

the first one is 65 degrees i think

Step-by-step explanation:

Answer:

I HAVE NO IDEA

Step-by-step explanation:

Please give me brainliest im determine i really

have only been picked one time and please give me brainliest i really need it im sorry i didnthelp but im litterly crying right now please please please give me brainliest

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $[tex]x[/tex]

As per question statement:

[tex]65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80[/tex]

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = $28

Answer:

top right equation

Step-by-step explanation:

y=x^2-2

my answer got deleted. so stup id

Answer: :) :0 :D :P :N intresting question

Step-by-step explanation: i dont know what the H -e -l -l I'm doing here

Answer:

180

Step-by-step explanation:

Answer:

[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]

The required simplification of z2-z1 = -7-8sqrt(3)i.

z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.

A complex number is defined as the sum of a real and imaginary numbers.

Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]

Thus, the required simplification of z2-z1 = -7-8sqr(3)i.

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9514 1404 393

Answer:

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

__

b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

__

c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

__

d) The coefficient of x being 7500 means the value will increase 7500 each year.

Answer:

d for sure

Step-by-step explanation:

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1