The function f open argument x close argument varies inversely with x and f open argument x close argument equals 0.5 when x

Answers

Answer 1

The value of function f(x), when x=2.4 is f(x)=0.00625.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

If the function f(x) varies inversely with x, then this function is of the form -

f(x)=a/x

where a is unknown number.

Since  f(x)=0.5 when x =0.3, then -

0.5 = a/0.3

a = 0.5 × 0.3

a = 0.15

So, the function now becomes -

f(x) = 0.15/x

Substituting for x = 2.4 -

f(2.4) = 0.15 / 2.4

= 15/240

= 1/16

= 0.00625

Therefore, f(x) value is obtained as 0.00625.

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The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?


Related Questions

Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were made? Only 90% of the cookies Imani made were sold. How many of the cookies were left after the bake sale?

Answers

If Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned. The number of cookies that were left after the bake sale is: 8.

How to find the cookies left?

Number of cookies  sold:

Number of cookies  sold = 0.90 × [(1+.25)×64]

Number of cookies  sold = 0.90 × [(1.25)×64]

Number of cookies  sold = 0.90 × 80

Number of cookies  sold = 72

Number of cookies left:

Number of cookies left = 80 - 72

Numbers of cookies left  = 8

Therefore the number of cookies left is 8 cookies.

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pls explain don't just give me the answer:
simplify each expressions
a) x+x+x+x
b) k+6k-3k
PLEASEEE HELPPP!!!!

Answers

a) 4x, there are 4 x’s, so just add them together

b) 4k || -3k + 1k = -2k, 6k - 2k = 4k OR
6k + 1k = 7k, 7k - 3k = 4k

Please help me with this question please!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

65 minutes

Brady tosses a coin three times. Each toss could be heads or tails. Which
outcome would be included in the compound event "at least two tails"?​

Answers

The outcome for the event "at least two tails" is HTT. Option B

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails. Option B is the correct option.

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does multiplying 2 numbers together always give the first common multiple of the numbers? explain using examples

Answers

No. Let’s use 2 and 8
2 x 8 = 16

But the first common multiple is 8

2, 4, 6, 8, 10, 12, 14, 16…
8, 16, 24…

please help me if you can ( links = report )

Answers

I believe the answer is 257.36

What would a 11% decrease of 212 be?

Answers

Answer:

I believe 188.68

Answer:

188.68

Step-by-step explanation:

first we divide 11/100 =0.11 then 0.11*212= 23.32

then 212-23.32= 188.68

Use the properties of logarithms to expand log (3^2xy) as much as possible.

Answers

Answer:

I have no idea

Step-by-step explanation:

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer: it is the 4 one which is 3(5-n)=2n+16

Please solve area of figure
Formula and radius of figure in the picture

Answers

Area of circle and  formula and radius of circle is 9 pi ( x y ^3 )^3.

How can you calculate area using pi and radius?

A circle's area is equal to pi times the radius squared (A = r2).

Pi times the radius r squared equals the area of a circle.

π ⋅ ( r a d i u s)2

In the formula for the area of a circle, substitute the value of the radius r =3. 3.14 is about how big a number pi is.

pi * 3^2

Raise 3 to the power of 2 to arrive at 9.

pi * 9

9 must be moved to the left of. 9 pi ( x y ^3 )^3.

Area of circle and  formula and radius of circle is 9 pi ( x y ^3 )^3.

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If Mr. Brust can bambam 8 jamjams in 12 whamwhams, the how many jamjams can he bambamin 33 whamwhams? (Yes, I know this is weird)

Answers

Answer: 22 jamjams in 33 whamwhams

Step-by-step explanation:

33 ÷ 12 = 2.75     =     12 x 2.75 = 33

2.75 x 8 = 22

Answer:

Mr. Brust can bambam 22 jamjams in 33 whamwhams.

Step-by-step explanation:

Mr. Brust can bambam 8 jamjams in 12 whamwhams.

Mr. Brust can bambam x jamjams in 33 whamwhams.

Use a proportion.

8/x = 12/33

12x = 8 × 33

x = 8 × 33/12

x = 12

Answer:

Mr. Brust can bambam 22 jamjams in 33 whamwhams.


5/2
Irrational
Rational


Answers

Answer:

Rational

Step-by-step explanation:

pleaseeeeee helpppppp i dont understand

Answers

Answer: C. 12

Step-by-step explanation: Hope this help :D

Solid A has a volume of 28 in³. The scale factor of A to B is 1:2. What is the volume of Solid B?

Volume of Solid B = ____________ in³

Answers

Answer: 56in³

Step-by-step explanation:

Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:

1/2 = 28/x

Cross multiply

1 × x = 2 × 28

x = 56

Therefore, the volume of solid is 56in³.

What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?

Answers

Answer:

Distribute 2 to (x + 6) and 3 to (x-4)

Step-by-step explanation:

Albert is a marine biologist studying the bluefin tuna population in Caro Bay. When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay. One year later, he estimated that the population of bluefin tuna had decreased to about 1,488. Albert expects the population of bluefin tuna to continue decreasing each year.


Write an exponential equation in the form y=a(b)x that can model the population of bluefin tuna in Caro Bay, y, x years after Albert began monitoring it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answers

The exponential function that models the population of bluefin tuna after x years is given as follows:

y = 1550(0.96)^x.

The parameters of the exponential function are given as follows:

a = 1550.b = 0.96.

How to define the exponential function?

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

a is the initial value.b is the rate of change.

When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:

a = 1550.

One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:

b = 1488/1550 = 0.96.

Hence the function is defined as follows:

y = 1550(0.96)^x.

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The missing base of 81= ^2

Answers

Answer:

the correct answer is 9²

Answer:

9

Step-by-step explanation:

It is stating that 81 is equal to x², in which the variable x stands for a number.

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x, by rooting both sides:

√x² = √81

x = √81 = √(9 * 9) = 9

9 is your missing base.

~

The area of a rectangular rug is (3x +9) square units. Factor (3x +39) to find possible dimensions of the rug.

Answers

is x+13 the answer to your problem?

PLEASE HELP!!! DUE SOON!! NO LINKS ARE RANDOM WORDS!! Each day there are eight million withdrawals from 32,000 ATM machines. What is the average number of withdrawals per machine?

Answers

Answer:

250

Step-by-step explanation:

Answer:

250 withdraws per machine

Step-by-step explanation:

8,000,000/32,000

The word "per" indicates division/multiplication.

A grocery store has increased its prices over time. The price per pound of apples in 2016 was $0.45. Today, the price per pound of apples is $0.85.
What is the equation of the line that would represent the price increase per pound of apples over time?

Answers

Answer:

C = 0.06x + 0.45

Step-by-step explanation:

Today is 2023

So, from 2016 to 2023, it has been 7 years.

0.85 - 0.45 = $0.40

So, $0.40 is the increase in 7 years

0.40 / 7 = $0.06

So, $0.06 is the change per year

Let C represent the total cost and x represent the number of years and we have

C= 0.06x + 0.45

A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate?

Answers

An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

An ellipse is not a circle since all points of an ellipse are not equidistant to the center point

To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"

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Which of the following are the factors of the equation x 2 3x − 4 0?

Answers

(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

What are the factors?

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

So, we have the equation:

x²+ 3x - 4 = 0

By dividing the center term, this quadratic equation can be reduced to its simplest form.

The result of dividing the middle word is:

x² + 4x - x - 4 = 0

One way to spell it is as:

x (x + 4) - 1 (x + 4) = 0

Now, we obtain:

(x + 4) (x - 1) = 0

Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

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Correct question:

Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?

(A) (x +4) (x - 1) = 0

(B) (x - 4) (x - 1) = 0

(C) (x - 4) (x +1)= 0

Solve for x. Leave your answer in simplest radical form.
X
12 ft
16 ft

HELP ASAPPP

Answers

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Luke is doing a Science Fair project. He observes that the cells double every 6 hours. If he starts with 50 cells, how many will he have
in 48 hours?
1800 cells
20
30,720 cells
ОООО
21
600 cells
12,800 cells

Answers

shhehshehehehhehehehhehehhhhhehehehehhehehehhehehehehh|heh help

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

i am not 100% sure but i think it would be C

Please look at image!

Answers

Answer:

8) 1/3, 0.33, 33 1/3%

9) 2/3, 0.67, 66 2/3%

Step-by-step explanation:

28 The function g(z) = 400z - z2 can be ued to determine the area, in quare feet, of a field, where z repreent the width of the field in feet. A farmer will plant pinach in thi field and expect to harvet 1 pound of pinach per quare foot. If the field i 50 feet wide, what i the total number of pound of pinach the farmer hould expect to harvet from the field?

Answers

The farmer should expect to harvest 17,500 pounds of spinach from the field.

What is a function?

A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.

In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.

Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:

g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet

We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:

1 pound/square foot * 17,500 square feet = 17,500 pounds

Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.

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The farmer should expect to harvest 17,500 pounds of spinach from the field.

What is a function?

A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.

In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.

Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:

g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet

We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:

1 pound/square foot * 17,500 square feet = 17,500 pounds

Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.

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Find the equation of the circle whose center and radius are given.

center ( -2, -5), radius = 1

Answers

Answer:

(x + 2)^2 + (y + 5)^2 = 1

Step-by-step explanation:

Since this circle is centered at (-2, -5), we have to add values within the squares. The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

So -2 is h and -5 is k. Substituting that in we get:

(x + 2)^2 + (y + 5)^2 = r^2

We are given the radius is 1, and one squared is one, so the final equation is:

(x + 2)^2 + (y + 5)^2 = 1

What do the stage directions in this example most clearly show about the
character Darius?
DARIUS. [Hunched over, his gaze darting around the room, and
shouting into his phone] You better give me my money back or else.
[Indistinct sounds from the phone]
DARIUS. [Trembling and wiping sweat from his forehead That's right.
I'm your worst nightmare.
[Indistinct sounds from the phone]
A. Darius fakes being tough but is actually nervous.
B. Darius is somebody who demands what he wants.
C. Darius can't understand the person he's talking to.
D. Darius has plans but is too lazy to achieve them.

Answers

In addition to describing a character's appearance and movement on stage, stage directions also describe the sound and visual effects of the surroundings.

What is the meaning of stage direction?

Stage directions may include phrases like "Katy enters the room" and "The man deals a deck of cards." They describe what the characters in the scene are doing.

Stage direction is also evident in statements about the setting, like "the early sunlight floods the space." The stage directions specify how a character will look, where they will move on the stage, and how the surroundings will sound and seem.

The links between things, characters, and locations in a book are made clear to the reader by stage directions, which also provide important details about the action. Stage directions are given by actors on the stage. "Stage right" is the area to the audience's left.

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Stage directions include things like "The man deals a deck of cards" and "Katy enters the room."

What is stage direction?

Examples of stage instructions include "The man deals a deck of cards" or "Katy enters the room." In the scene, they describe how the characters move. Stage direction can also be demonstrated by describing the environment, such as "the early sunlight floods the space."

What a character looks like, where they go in the stage, and how the setting sounds and appears are all revealed in the stage instructions. The relationships between persons, things, and places in a text are described in great detail in stage directions.

To this day, the connotation remains unchanged. The three zones Upstage (in the back of the stage), Centerstage (in the middle), and Downstage are present in every theatre (front of the stage).

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I need help I don’t know it ?????

Answers

Answer:

H) {8, 9, 10, 11, 12}

Step-by-step explanation:

The domain of a problem is the set of all possible values that can be the input of a given function. In this case, the problem asks for the number of volleyball players are on a team. Since one cannot have a fraction of a person, then the domain must be a set of whole numbers. Moreover, the problem gives one the information that there has to be at least (8) players, and no more than (12). Thus, the only option that satisfies all of these requirements is option (H). Therefore the correction option is the following,

H) {8, 9, 10, 11, 12}

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