London is standing in a stadium and has the option of running up a staircase or down a staircase for exercise. The function f(x)=\frac{1}{25}\big(\left|6x\right|+4x\big)f(x)= 25 1 ​ (∣6x∣+4x) will determine how many calories London will burn if she runs up xx steps. Use a negative value for xx if she runs down the stairs. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer 1

The domain of a function is the set of input values, the function can take.

The domain of the function is: [tex]\mathbf{(-\infty,\infty)}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \frac{1}{25}\big(\left|6x\right|+4x\big)}[/tex]

The above function represents the number of steps she runs or up down from her current position.

Because she can move in either directions (i.e. up or down), then it means that, the domain of the function is: [tex]\mathbf{(-\infty,\infty)}[/tex]

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Related Questions

2[x-3]+1=7.

Help me pls

Answers

Answer:

[tex]2(x - 3) + 1 = 7 \\ 2(x - 3) = 7 - 1 \\ 2x - 2 \times 3 = 6 \\ 2x - 6 = 6 \\ 2x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} = 6 \\ x = 6 \\ thank \: you[/tex]

Answer:

here,

2[x-3]+1=7

or, 2x-6=7-1

or,2x=6+6

or,x=12/2

hence the value of x =6

A/4 -5/6= -1/2
Pls help I don’t know this

Answers

Step-by-step explanation:

[tex] \frac{a}{4} - 1 \times \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} - \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} + \frac{4( \frac{ - 5}{6}) }{4} = \frac{ - 1}{2} \\ \\ \frac{a + 4( - \frac{5}{6}) }{4} = \frac{ - 1}{2} [/tex]

α = 4/3

i hope this help ^^

Find the distance between the points A and B given below. NO BOTS OR ELSE REPORTED

Answers

Answer:

5 units

Step-by-step explanation:

Answer:

I think the answer is 7 units

Step-by-step explanation:

you would expect it to be 5 units, but because of the diagonal angle it adds a percentage off each unit

HELPPPPPPP PLZ ANSWERRRR QUICKKKKKK! WILL GIVE BRAINILEST :D

Answers

Answer:

A is the correct answer

Step-by-step explanation:

hope this helps

I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!

Answers

Answer:

it's W=2

Step-by-step explanation:

beacuse you devide both sides!! I hope this helps!!! if not let me know!!!

It’s w= 2. Just saw ur question on the thing. Mark brainliest pls

What is the answer to the question?

Answers

Answer:

the answer is option 4th

the answer is 4 because yes the question is 4

Water flows into a tank at the rate of 3 litres per minute.
a. If the tank fills completely in 450 seconds what is the capacity of the tank in ml?

A hole is drilled in the bottom of the tank. Water flows out of the hole at a rate of 60 ml per second.
b. How long will the tank take to drain completely if the flow of water IN continues at the same rate?

Answers

Answer:

a) 22,500  b) 2250 seconds (or 37.5 minutes)

Step-by-step explanation:

a) There are 1000 ml in a liter.

Therefore, the rate of water flowing in can be 3000 ml per minute. To convert this into per second, we divide 3000 by 60.

This becomes 50 ml per second. If the tank fills in completely in 450 seconds,  we multiply 50 by 450 to get how much water in ml was used to fill the tank completely. 50 times 450 = 22,500. Therefore, the capacity of the tank is 22,500.

b) Since water keeps flowing into the tank at a rate of 50 ml per second, and water flows out at a rate of 60 ml per second, we can define the rate flowing out of the tank as 10 ml per second.

Because the maximum capacity of the tank is 22,500 ml, we divide this by 10 ml (the rate flowing out) to get how many seconds it will take for the tank to drain out completely. 22,500 divided by 10 is 2250.

So, it will take 2250 seconds for the tank to drain completely. In minutes, this becomes 37.5 minutes.

Sorry I for got the img

Answers

Answer:

1)3.87

2)6.63

3)9

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

Zero solutions

Step-by-step explanation:

When you simplify the equation you get that 4x+2=4x+3. That is not equal so therefore it has zero solutions

Answer:

The only solution could be is if u had x as a variable, if not then you don't have a solution because you won't know what x is.

Step-by-step explanation:

Whoever answers get 108 points!

Write a 5 sentence Summary:

Describe the transformation that exist a negative is multiplied outside of the function.

Answers

Answer:

The negative sign outside the absolute value function causes a few different things when multiplied. When a negative is multiplied outside of the function, the transformation that exists will be a vertical reflection.  A horizontal shift to the left 1 unit will happen because of g(x)=f(x+1). The graph will make a vertical shift down 2 units because of g(x)=f(x)−2. The value of (a) would be -1 and since it is less than 1, and it causes the graph to be wider because of vertical compression. Placing a minus sign outside absolute value bars gives you a negative result.

I hope this is what you were looking for and I hope it helps also you might need to recheck your answers on your paper. I will add a picture of my findings. Good Luck!

Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)

Answers

Answer: Yes

Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.

A cable company technician gave 3:00PM to 7:00PM as his arrival time. The arrival time is uniformly distributed. What is the probability that he arrives exactly at 4:00PM

Answers

I believe the answer is 1/240 but I am not sure

The probability that the technician arrives exactly at 4:00 pm is 1/5.

What is probability?

Probability is the chance of occurring a certain event out of the total no. of events that can occur in a given context. The probability of an event is always greater than equal to zero and less than equal to one.

If we distribute arrival time uniformly in terms of hours the no. of sample space N(s) = 5.     (3:00pm, 4:00pm, 5:00pm, 6:00pm, 7:00pm).

∴ The probability that he arrives exactly at 4:00 pm is,

= 1/5.

The probability of arriving at 4:00 pm is 1/5.

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what is 1/3 as a present

Answers

Percent Decimal Fraction
331/3% 0.333... 1/3

Match each ecosystem role with the correct description.
1. break down dead material
predator
2. make food for ecosystem
decomposer
3. eat food made by others
producer
4. hunt and eat other consumers
consumer

Answers

Decomposer - break down dead material
Producer- make food for an ecosystem
Consumer- eat food made by others
Predator - hunt and eat other consumers

For three consecutive even integers, -4 times the sum of the first and third integers is 192. What is the middle integer?

Answers

Answer: Middle integer = -24

Step-by-step explanation: First understand the formula for finding three consecutive even numbers.

Formula used: -4(n+n+4)=192

Let's solve your equation step-by-step.

−4(n+n+4)=192

Step 1: Simplify both sides of the equation.

−4(n+n+4)=192

(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)

−4n+−4n+−16=192

(−4n+−4n)+(−16)=192(Combine Like Terms)

−8n+−16=192

−8n−16=192

Step 2: Add 16 to both sides.

−8n−16+16=192+16

−8n=208

Step 3: Divide both sides by -8.

−8n

−8

=

208

−8

n=−26

Now find the middle integer.

Formula used: n+n+2+n+4

-26+(-26)+2+(-26)+4

-26+(-24)+(-22)

Middle integer=-24

Answer:

-24

Step-by-step explanation:

Keith buys 3 yards of materials to make a blanket. He trims off a total of 1/6 yards before sewing. How much material remains for the blanket?

Answers

2.83 remains. Good luck with everything:)

The number of yards of material remains sewing blanket is 2.5 yards.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Keith buys 3 yards of materials to make a blanket.

He trims off a total of 1/6 yards before sewing.

So, 1/6 ×3

= 3/6

= 0.5 yards

Remaining material =3-0.5

= 2.5 yards

Therefore, 2.5 yards of material remain for sewing blanket.

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Which measurement is equivalent to 3 tablespoon or ½ fluid ounces?

Answers

Answer:

its teaspoons

Step-by-step explanation:

Solve.
Four times a number is equal to the number increased by 21. Find the number.
The number is

Answers

Let x equal the number

 Tip: Go step-by-step

4 times a number is translated to... 4x

Is equal to means =

to the number increased by 21 is... x+21

Your equation is: 4x=x+21

Subtract x from both sides

3x=21

Divide three from both sides

x=7

Check!

4(7) = 7+21

28=28!

Correct!

Have a nice day!!

If there are 4 quarters in one dollar, how many quarters are in five dollars

Answers

20 Quarters

If each dollar has 4 quarters and your finding the amount for 5 dollars then multiply 4 by 5 to get 20 quarters total

Q2.
Circle all the numbers that are greater than 0.6
0.5
0.8
0.23
0.09
0.67

Answers

Answer:

all but 0.5

Step-by-step explanation:

thus answer should be right

You would need to circle 0.8 and 0.67 as they are the only ones greater then 0.6

There is still controversy about whether or not Pluto should be considered a planet. Although planets are mainly defined by their orbital path (the condition that prevented Pluto from remaining a planet), the issue of size is something to consider. The table below lists the planets, including Pluto, and their approximate diameters in meters.


Planet Approximate Diameter (m)

Mercury 4.88 × 10^6

Venus 1.21 × 10^7

Earth 1.28 × 10^7

Mars 6.79 × 10^6

Jupiter 1.43 × 10^8

Saturn 1.2 × 10^8

Uranus 5.12 × 10^7

Neptune 4.96 × 10^7

Pluto 2.3 × 10^6


a. Name the planets (including Pluto) in order from smallest to largest.


b. Comparing only diameters, about how many times larger is Jupiter than Pluto?

Answers

9514 1404 393

Answer:

  a) Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter

  b) 62

Step-by-step explanation:

When all the numbers are in scientific notation, as these are, the numbers with the smallest exponent are smaller. If numbers have the same exponent, the number with the smaller mantissa is smaller.

a) least-to-greatest diameter, the order is ...

  Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter

__

b) The ratio of diameters of Jupiter and Pluto is ...

  (1.43×10^8)/(2.3×10^6) = 6.2×10^1 = 62

Jupiter's diameter is about 62 times that of Pluto.

_____

Additional comment

Your calculator or spreadsheet can work directly with numbers in scientific notation.

If x > 0 and y < 0, where is the point (x, y) located?

Answers

Answer:

In the forth quadrant, below and to the right of the origin.

x > 0 means it is to the right of the y axis

y < 0 means it is below the x axis.

Step-by-step explanation:

on the y axis

Step-by-step explanation:

thats nice what i think atleast sighhh                                                                                                                                                                                              e

please help !!!!!!!!!!!!!!1If x = –2, which number line shows the value of |x|? (1 point)


A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 2 is written on the line.

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and 2 is written on the line.

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 2 is written on the line.

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 2 is written on the line.

Answers

Answer:

a number line is shown from negative 6 to positive 6 with increment of 1.

At Home Depot you can get 30 ornaments for $15 at target you can get 20 ornaments for nine dollars which is a better deal

Answers

Answer:

Target

Step-by-step explanation:

Home depot

15 dollars/ 30 ornaments = .50  per ornament

Target

9 dollars/ 20 ornaments =.45 per ornament

Target costs less

Answer:

Target is cheaper .45 each

Home Depot is .50 each

Step-by-step explanation:

HELP ME PLEASE
By which rule are these triangles congruent?
A)
MAS
B)
ASA
SAS
D)
SSS

Answers

Answer:

I brlive the answer is B.........

Answer:

The answer is C) ASA

Step-by-step explanation:

This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.

10. Writing to Explain Write an explanation for another student telling
him or her how to divide 2/3 by 1/6

Answers

9514 1404 393

Answer:

invert and multiply, oruse a common denominator

Step-by-step explanation:

There are two ways you can divide 2/3 by 1/6.

1) Division by a number is the same as multiplication by its reciprocal. The reciprocal of a fraction is the fraction obtained by swapping the numerator and denominator. So, division by 1/6 is the same as multiplication by 6/1.

  2/3 ÷ 1/6 = 2/3 × 6/1

The result of this multiplication is the product of the numerators divided by the product of the denominators:

  2/3 × 6/1 = (2×6)/(3×1) = 12/3 = 4

__

2) The fractions can be expressed with the same denominator. Then their quotient is the quotient of their numerators.

  2/3 = 4/6

  2/3 ÷ 1/6 = 4/6 ÷ 1/6 = 4 ÷ 1 = 4


En la tabla aparecen los datos correspondientes a la cantidad
de cuadernos vendidos por Carlos durante 30 días:
Determina la media aritmética, mediana y moda


Answers

Utilizando conceptos estadísticos, se encuentra que

La media es de 17.5 cuadernos vendidos.La mediana es de 17.5 cuadernos vendidos. La moda es de 17.5 cuadernos vendidos.

La media viene dada por la suma del punto medio de cada intervalo multiplicada por su frecuencia relativa.

O sea, [tex]\frac{5 + 10}{2} = 7.5[/tex] multiplicado por [tex]\frac{3}{30}[/tex] hasta [tex]32.5[/tex] multiplicado por [tex]\frac{1}{30}[/tex]. Entonces:

[tex]M = 7.5\frac{3}{30} + 12.5\frac{7}{30} + 17.5\frac{10}{30} + 22.5\frac{8}{30} + 27.5\frac{1}{30} + 32.5\frac{1}{30}[/tex]

[tex]M = \frac{7.5(3) + 12.5(7) + 17.5(10) + 22.5(8) + 27.5 + 32.5}{30} = 17.5[/tex]

La media es de 17.5 cuadernos vendidos.

La mediana es el ponto medio de el intervalo en que la suma de las cuantidades [tex]f_c[/tex] ultrapassa lá mitad, o sea, 15.

[tex]3 + 7 = 10[/tex]

[tex]10 + 10 = 20[/tex]

Esto se dá en el intervalo de 15 à 20, que tiene ponto medio 17.5, o sea, 17.5 es la mediana.

La moda es el ponto medio de el intervalo con frequencia relativa mas grande.

En este problema, este intervalo es de 15 a 20, que tiene ponto medio 17.5, o sea, 17.5 también es la moda.

Un problema similar es dado en https://brainly.com/question/13202035

rewrite the equation in Ax + By = C form. use integers for A, B, and C. y - 6 = -3 (x + 5)

Answers

Answer:

ok

Step-by-step explanation:

[tex] \sf \: {}[/tex]

Answer:

3x + y = - 9

Step-by-step explanation:

y - 6 = -3 (x + 5)

Distribute the -3

y - 6 = -3x - 15

Add 3x to both sides

3x + y - 6 = -15

Add 6 to both sides

3x + y = - 9

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

A = 3

B = 1

C = -9

pls help me adawdasdaw

Answers

7x+12+6x-2=-4
7x-6x=-4-12+2
13x=-14
x=-14 divide 13
x=-14 over 13 put 14 over 13 in a fraction

Find the slope of the line.

Answers

Answer:

3/4

Step-by-step explanation:

rise/run = 3/4

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