Question 7
points 2
ps
sunshine house cleaners mops 1/5 square feet every 2/3 minute. what is their speed in terms of square feet
tio
per minute?

Answers

Answer 1

Their speed in terms of square feet per minute is 3/10 square feet per minute.

We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.

Given that the distance = 1/5 square feet.

The time = 2/3 minute.

Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10

Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.

Learn more about speed here -

https://brainly.com/question/3004254

#SPJ10


Related Questions

The tables represent the functions f(x) and g(x). f(x) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g(x) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions? x = -3 O x = -1 x = 0 Ox=1 The tables represent the functions f ( x ) and g ( x ) . f ( x ) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g ( x ) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions ? x = -3 O x = -1 x = 0 Ox = 1​

Answers

Answer:

x=1

Step-by-step explanation:

There are two functions (f & g), each of which have a table of inputs and outputs.  The same list of inputs is given to both functions, but the outputs are different.

Imagine that you asked your Father 6 questions, (weirdly instead of numbered 1 through 6, numbered -3 through 2), and that he gave you a list of answers.

Imagine that you asked your Grandfather the same 6 questions, and you got a list of answers from him.

On which question did they give the same answer?

It was on question number "1", (really the 5th question, but as we've numbered things from -3 to 2, it's question "1").


Since the "questions" were the input, "x", x=1.

find the size of unknown angle

Answers

Answer:

x° = 75

(x + 30)° = 105°

Step-by-step explanation:

supplementary angle is two angles that sum is 180°

x° + (x + 30)° = 180°

2x + 30 = 180°

2x + 30 - 30 = 180 - 30

2x = 150

2x / 2 = 150 / 2

x° = 75

plug in 75,

75 + 30 = 105

check: 75 + 105 = 180

Answer: 75 degrees

Step-by-step explanation:

Do you see how both sides of the angle come together to form the straight line seen at the bottom? This means that these are supplementary angles.

Supplementary Angles: Both sides have to add up to a total of 180 degrees.

With this, form an equation: x+(x+30)= 180

Get rid of the parenthesis:

x+x+30= 180

Combine like terms.

2x+30= 180

2x= 180-30

2x= 150

x= 150÷2

x= 75

Checks:

x+x+30= 180

75+75+30= 180

You can also check using the equation in its simplified form: 2x+30= 180.

2x+30=180

2(75)+30=180

150+30=180

Hence x=75

Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?

|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3

Answers

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?

Answers

Answer:63

Step-by-step explanation:

63/7+25=34

Answer:

x = 63

Step-by-step explanation:

we know that...

(x will be the stand-in for "your number")

x ÷ 7 + 25 = 34

(x ÷ 7) + 25 = 34

To find x, we have to isolate x

first, we can subtract 25 from both sides (remember, if you do an action on one side, you must do the same action on the other side)

{why are we subtracting? we need to do the opposite of a sign to get rid of it. By subtracting, we are undoing addition; by multiplying we are undoing division (and vice versa)  }

(x ÷ 7) + 25 = 34

          - 25    - 25     (subtract 25)

x ÷ 7 = 9

  × 7    ×7       (multiplying by 7 to get rid of the "÷7")

x = 63

now, we can test out our x-value:

(63 ÷ 7)  +25 = 34

( 9 ) + 25 = 34

34 = 34

because this equation is true, we can be certain that x = 63

hope this helps!

he height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent?

the number of seconds after the rocket is released
the initial height of the rocket
the initial velocity of the rocket
the height of the rocket after t seconds

Answers

Answer: the number of seconds after the rocket is released

In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,
how many Hoosiers will have a home phone in 2011? Round to two-decimal places.
Hoosiers
Pause test

Answers

3286000x4/100=131440

131440x11=1445840

3286000-1445840=1840160

Answer: 1840160

this is the answer I got but for some reason the answer didn't turn out to be in decimal :( but I sware this is the answer I got

x2) Triangle ABC is an isosceles triangle with BA = BC 72° D lies on AC ABD is an isosceles triangle with AB = AD Angle ABD = 72° 36 A D Show that triangle BCD is isosceles. You must give a reason for each stage of your working. ​

Answers

An isosceles triangle is one with two equal-length sides. The ΔBCD is an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Given ΔABC is an isosceles triangle with side AB = AC. Therefore, as per the base angle theorem,

∠A = ∠C = 36°

Also, in ΔABC, the sum of the angles can be written as,

∠ABC + ∠BAC + ∠BCA = 180°

∠ABC + 36° + 36° = 180°

∠ABC = 108°

For ∠ABC we can write,

∠ABC = ∠ABD + ∠CBD

108° = 72° + ∠CBD

∠CBD = 36°

Now, in ΔBCD, the measure of ∠CBD and ∠DCB both equals to 36°. Therefore, we can write, that the ΔBCD is an isosceles triangle.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ1

which is NOT an arithmetic sequence
-7,0,7,14

0,5,1,1.5

10,6,2,-2

2,4,8,16​

Answers

Answer:

2,4,8,16

Step-by-step explanation:

2,4,8,16

difference is multiplied by 2

Sofia is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What would be Sofia's test score (out of 100) if she got 8 questions wrong? What would be her score if she got xx questions wrong?

Score with 8 questions wrong:
Score with xx questions wrong:
need answer quickly

Answers

60 points! Because 8 questions wrong would be - 40 points and its out of 100 points so 60 points

Answer:

60 points

100 - 5x

Step-by-step explanation:

If she got 8 questions wrong she missed (8 * 5) points or 40 points. This means she only got 60 points

This can be further generalized by simply subtracting the amount of questions someone got wrong by 5 from the total available points of 100

100 - 5x

7 is what percent of 154?

Answers

Answer: 10.78

Step-by-step explanation:

if(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​

Answers

Answer:

a = 4/3 and b = 0

============================

Given expression:

[tex]\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}[/tex]

Simplify it in steps:

Step 1

Bring both fractions into common denominator:

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

Step 2

Simplify:

[tex]\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =[/tex]

[tex]\dfrac{4\sqrt{14} }{7-4} =[/tex]

[tex]\dfrac{4}{3} \sqrt{14} }[/tex]

Step 3

Compare the result with given expression to get:

a = 4/3 and b = 0

the diagram shows a logo

Answers

Answer:

where is the digram may i see the digram

Use the given graph to determine the limit, if it exists.

Answers

The limit in the given graph [tex]\lim_{x \to \ 2^{-} } f(x)[/tex] is 3 and [tex]\lim_{x \to \ 2^{+} } f(x)[/tex] is -2

Given graph of a function and we have to determine the limits when x tends to 2 minus and when x tends to 2 plus.

When we see the graph we can find that the graph is not of the linear function because it is not straight line.

From x=2 and onwards it gives values values of only -2 because it is parallel to x-axis at y=-2.From x=2 and leftwards it gives values values of only 3 because it is parallel to x-axis at y=3.

Hence the limit of the function whose graph is shown is 3 and -2.

Learn more about limits at https://brainly.com/question/27517662

#SPJ10

A=(3+[tex]\frac{a+\sqrt{a} }{\sqrt{a}+1 }[/tex])(3-[tex]\frac{a-5\sqrt{a} }{\sqrt{5}-5 }[/tex])

Answers

The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

How to Simplify Algebra?

We are given the algebra expression;

A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]

When we multiply out, we will get;

9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]

⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ1

Using the following image, solve for JI.
J
2x + 28
x + 22
5
H

Answers

In the given image, the length of JI is 6

Solving linear equations

From the question, we are to solve for JI

From the given image, we can write that

JI + IH = JH

Then,

2x + 28 + 5 = x + 22

Solving for x

2x + 28 + 5 = x + 22

First, collect like terms

2x - x = 22 - 28 - 5

Simplifying

x = -11

But,

JI = 2x + 28

∴ JI = 2(-11) + 28

JI = -22 + 28

JI = 6

Hence, the length of JI is 6

Learn more on Linear equations here: https://brainly.com/question/27979747

#SPJ1

Please help! To solve the equation 1.75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?

Answers

Answer:

C

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = [tex]\frac{7}{1.75}[/tex] = 4

Answer:

c.)  Divide by 1.75

Step-by-step explanation:

Given equation:

⇒ 1.75n = 7

Here the coefficient of n which is 1.75 needs to be removed. There is only one way of doing that - by dividing both sides by 1.75.

When done so:

⇒ 1.75n/1.75 = 7/1.75

⇒ n = 4

Sarah bought snacks for her team's practice. She bought a bag of chips for $1.56 and a 20-pack of juice bottles. The total cost before tax was $33.96. Write and solve an equation which can be used to determine j, how much each bottle of juice cost.

Answers

The equation is 1.56 + 20x = 33.96 and the value of x is 1.62.

What is Equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Here, Based on the given conditions, formulate: 1.56 + 20 × x = 33.96

Rearrange unknown terms to the left side of the equation:  20x = 33.96-1.56

Calculate the sum or difference: 20x = 32.4

Divide both sides of the equation by the coefficient of variable: x = 32.4/20

Calculate the product or quotient: x = 1.62

get the result: x = 1.62

Thus, the equation is 1.56 + 20x = 33.96 and the value of x is 1.62.

Learn more about Equation from:

https://brainly.com/question/2263981

#SPJ1

What is the circumference of the circle shown below? (Round your answer to the nearest tenth.) A. 33.0 B. 66.0 C. 346.4 D. 206.2​

Answers

Answer:

B. 66.0

Step-by-step explanation:

The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!

What is the area of Vivian’s garage door?

Answers

The area  of Vivian’s garage door is 62.5 square feet

Area of composite shape.

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: https://brainly.com/question/8370446

#SPJ1

I need help with this

Answers

Step-by-step explanation:

please mark me as brainlest

the answer is C ! pls mark me as brainliest

copy machine can make 250 copies in 4 minutes. Represent
rate of change in copies per minute.

Answers

Answer:

62.5 copies per minute

Step-by-step explanation:

Note that the word "per" means divide.  So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes

If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:

[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]

vincent mows 8 lawns in 2 hours. how many lawns are mowed in 5 hours .

Answers

Vincent mowed 20 lawns in 5 hours

Answer:

20 lawns

Step-by-step explanation:

Pls help me solve this equation

Answers

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, 4 ) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of line

The velocity of a particle can be modeled by the function v(t)=1/10(3t-8)^3+2. Which graph accurately shows the velocity of the park or at any time, t?

Answers

The graph that accurately shows the velocity of the park or at any time is as shown in the attached image.

How to draw a function Graph?

Velocity is defined as the rate of change of position of object with respect to time. Velocity is also defined as the speed of an object moving in a definite direction.

Velocity is a vector quantity and so it has both magnitude and direction. Its' SI unit is in meters per second.

The velocity of a particle is modeled by the function;

v(t) = ¹/₁₀(3t - 8)³ + 2

The given velocity function is cubic function and as such the attached graph shows the velocity of the particle at any time.

Read more about Function Graph at; https://brainly.com/question/4025726

#SPJ1

i do not now these questions

Answers

Using proportions, it is found that:

a) 5 people are needed.

b) Yes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Item a:

Each person works for 32 hours, and 150 hours are needed, hence the number of people needed is given by:

150/32 = 4.6875.

However, an integer number is needed, hence 5 people are needed.

Item b:

With 30 hours, the number of people needed is given by:

150/30 = 5.

Which remains the same.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

2^x - 3^x = √(6^x - 9^x)

Answers

[tex]2^x-3^x=\sqrt{6^x-9^x}\\\\D:6^x-9^x\geq0 \wedge 2^x-3^x\geq0\\D: 6^x\geq 9^x \wedge 2^x\geq3^x\\D:x\leq0 \wedge x\leq 0\qquad(\text{if }a < b \text{ then } a^x < b^x\text{ for } x > 0 \text{ and } a^x > b^x \text{ for } x < 0 )\\D:x\leq 0\\\\(2^x-3^x)^2=6^x-9^x\\(2^x-3^x)^2=3^x(2^x-3^x)\\\\\text{We divide both sides by } 2^x-3^x \text{ assuming }2^x-3^x\not=0\Leftrightarrow x\not=0.\\\\2^x-3^x=3^x\\2^x=2\cdot3^x\\\ln 2^x=\ln (2\cdot3^x )\\x\ln 2=\ln 2+\ln 3^x\\x\ln 2=\ln 2+x\ln 3[/tex]

[tex]x\ln 2-x\ln 3=\ln 2\\x(\ln 2-\ln 3)=\ln 2\\x=\dfrac{\ln 2}{\ln 2-\ln 3}=-\dfrac{\ln 2}{\ln 3-\ln 2}=-\dfrac{\ln 2}{\ln \frac{3}{2}}\approx-1.7[/tex]

For [tex]x=0[/tex], our initial equation is obviously true.

Therefore [tex]x\in\left\{-\dfrac{\ln 2}{\ln \frac{3}{2}},0\right\}[/tex].

Answer to the miscellaneous equation, is x=0 and x=-1.71

Miscellaneous equation are the equations which are not polynomial

The question can be solved by:

Factorising Splitting the terms to find the required solution

Completing the squares, etc

2ˣ - 3ˣ = √(6ˣ - 9ˣ)

Squaring both sides,

2²ˣ+3²ˣ -2.2ˣ.3ˣ=2ˣ.3ˣ - 3²ˣ

2²ˣ+2.3²ˣ -3.2ˣ.3ˣ=0

Factorising the terms,

2ˣ(2ˣ-3ˣ) -2.3ˣ(2ˣ-3ˣ)=0

(2ˣ-3ˣ)(2ˣ-2.3ˣ)=0

Equating the braces to zero,

Either,

2ˣ=3ˣ

x=0

or

2ˣ=2.3ˣ

Taking log on both sides

xln2=ln2+xln3

x=ln2/(ln2-ln3)

  =-1.71

Therefore, x=0 and x=-1.71 is the only solution

Learn more about miscellaneous equation: https://brainly.com/question/121433

#SPJ10

100 PTS!! PLEASE HELP! OVER DUE

Answers

Answer:

[tex]-\frac{1}{2} \vec {c}[/tex]

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because [tex]\frac{4}{4}=1=\frac{-2}{-2}[/tex]

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that [tex]k \vec{c} = \vec {d}[/tex], or equivalently, [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex].

If [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex], we just need to substitute known values and solve for k:

[tex]kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}[/tex]

Double checking that k works for the y-coordinates as well:

[tex]kc_y=d_y[/tex]

[tex](-\frac{1}{2}) (4)[/tex]    ?    [tex](-2)[/tex]

[tex]-2=-2 \text{ } \checkmark[/tex]

So, [tex]-\frac{1}{2} \vec {c} = \vec {d}[/tex]

Answer:

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that , or equivalently,  and .

If  and , we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

   ?    

So,

Luis and Raul are playing Odds or Evens. Both friends flip a coin. If both coins land on heads or if both coins land on tails, then Luis wins both coins. If one coin lands on hea
No, the game is not fair because Raul has a higher probability of winning than Luis.
Yes, the game is fair because both friends have an equal probability of winning.
No, the game is not fair because Luis has a higher probability of winning than Raul.
Yes, the game is fair because the friends do not have an equal probability of winning.

Answers

Answer:

B

they both have equal probability of winning as both of them have a 50/50 chance of winning

Step-by-step explanation:

Yes, the game is fair because both friends have an equal probability of winning.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The game of Odds or Evens is not fair because Raul has a higher probability of winning than Luis.

In this game, the probability of both coins landing on heads or both coins landing on tails is 1/2 * 1/2 = 1/4.

Therefore, there is a 1/4 probability that Luis will win both coins.

However, there is a 1/2 probability that one coin will land on heads and the other will land on tails. In this case, Raul will win both coins because he chose "evens" and the sum of the numbers is even.

The sum of two random coin flips has an equal probability of being even or odd, so the probability of Raul winning both coins is 1/2.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

City worker drain a community pool that contains 403,920 gallons of water. The pump they use removes water at a rate of 40 cubic feet per minute. One cubic foot of water contains 7.48 gallons how long in hours will it take to remove all the water from the pool

Answers

Answer:

22.5 hours

Step-by-step explanation:

One cubic foot of water contains 7.48 gallons, so 40 cubic feet of water would equal 7.48 × 40, or 299.2 gallons. So the pumping rate is 299.2 gallons per minute. Multiplying 299.2 by 60, we have

299.2 × 60, or 17952 gallons per hour. Finally, divide 403,920 by 17,952 to find the number of hours to remove all the water: 403,920 ÷ 17,952 = 22.5 hours

Tomas learned that the product of the polynomials
(a + b)(a ab + bf) was a special pattern that would
result in a sum of cubes, a3 + b3. His teacher
put four
products on the board and asked the class to identify
which product would result in a sum of cubes if a =
2x and b = y

Answers

The product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

Product that would result in a sum of cubes

Given:

Product of polynomials=(a + b)(a²- ab + b²)

Sum of cubes=a³+ b³

Hence,

a³+ b³ = (a + b) (a²-ab + b²)

When:

a=2x

y=b

So,

a³+ b³= (2x + y ) [ (2)² - (2x) (y) + y²)  

a³+ b³= (2x + y ) [ 4x² - 2xy + y²]  

a³+ b³ = (2x + y)(4x² – 2xy + y²)

Therefore the product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

Learn more about product that would result in a sum of cubes here:https://brainly.com/question/14305581

#SPJ1

Other Questions
Help needed with this math problem! Please fill in the blue squares Assume that tangerines are produced in a constant cost industry which sells in a perfectly competitive market. Suppose that at the current level of output, firms are earning positive economic profits. What can we say about the long run equilibrium where productive and allocative efficiency is achieved You are responding to an accident scene that involves an overturned semi-truck carrying diesel fuel. which reference source will be most helpful in this case? four times a number is 48 less than 6 times the number does someone mind helping me with this problem? Thank you! A body at rest is given an initial uniform acceleration of 8m/s2 for 30s after which the acceleration is reduced to 5m/s2 for the next twenty seconds. The body maintains the speed attained for 60s, after which it is brought to rest in 20s. What is the domain of the given function?{x|x = -6, -1, 0, 3}{y ly=-7, -2, 1, 9}{x|x=-7, -6, -2, -1, 0, 1, 3, 9}y ly=-7, -6, -2, -1, 0, 1, 3, 9} Product package sizes are becoming smaller around the world in a phenomenon called. The absolute value of -183 is _______. Oscar consumes both video games and Pepsi.a. Given the table, what is Oscars total utility from purchasing three video games and 2 Pepsis?b. Assume that Oscar has a weekly income of $20. If the price of a video game is $5 and the price of Pepsi is $2, what quantity of video games and Pepsi maximizes Oscars utility (he does not use his money for any other purchases)?c. Assume that the price of Coca Cola drops. Does this increase, decrease, or not change Oscars demand for Pepsi?d. Suppose that Oscars income elasticity for Pepsi is -0.5. Does the value of Oscars income elasticity indicate that Pepsi is a normal good, an inferior good, a substitute, or a complement?e. Suppose that when the price of video games increases by 20 percent, Oscar buys 10 percent fewer video games and 2 percent less of other computer equipment. Calculate the cross-price elasticity for video games and computer equipment and indicate if it is positive or negative. in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born. What are the requirements for taking part in a federal election? Check allthat apply. WHAT ARE THE SOUND SIGNALS DO YOU EXPECT TO HEAR FROM EACH OF THE TARGETS? Billy attends a training session that he enjoys tremendously. However, when he takes a knowledge test after the training, it is clear that he has not gained any new knowledge on the training content. In this example, the training demonstrated good results in terms of __________ criteria, and poor results in terms of __________ criteria identify wheather each statement describes the torah or the talmud whats 10 + 4? i need to know if you answer you get 25 points What is the square root of 48 simplified? A researcher uses an anonymous survey to investigate the social media habits of American college students. Based on the set of 300 surveys that were completed and returned, the researcher finds that students spend an average of 2 hours each day using social media. The set of 300 students who returned surveys is an example of a _____. factoring 8x^2-12x-8 Which line is perpendicular to a line that has a slope of -5/6?