Does this graph represent a function?

Answer:

h = 12 in

Step-by-step explanation:

To find the height, divide the volume by the base:

              2880 in^3

height:  ------------------ = 12 in

                  240 in

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

Answer:

Given that  

Marks of ten friends

   23%, 37%, 45%, 49%, 56%, 63%, 63%, 70%, 72% and 82%

Mean = 56

Variance = 284.6

Standards deviation = 16.9

Answer:

17

Step-by-step explanation:

In 4z -5y, substitutte 8 for z and 3 for y, obtaining:

4(8) - 5(3) = 32 - 15 = 17

Answer:

17

Step-by-step explanation:

When you have a  number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.

4z-5y

when z=8 and y=3

The equation really is

4 times 8 - 5 times 3

4 times 8 is 32

5 times 3 is 15

15-32

15-32= 17

Answer:

C. -3/4

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

You could identify two points and used the slope formula given two points.

OR

You can just count from one point to another.

First step: Identify two points where the line crosses nicely.

I see one at the y-intercept (0,1) and another at (4,-2). So starting at the y-intercept, how much do we need to travel down to get to (4,-2).  Hopefully you say down 3, so the rise is -3.  Now how much to the right after traveling down 3 from (0,1) to we need to travel to get to (4,-2) .  Count the spaces...4 units right so the run is 4.

The slope is -3/4

Answer: 170

Step-by-step explanation:

275-105

Answer:

5y - 10

Step-by-step explanation:

We require to find

5(y - 2) ← multiply each term in the parenthesis by 5

= 5y - 10

Answer:1st one is acute 2nd one is also acute 3rd one is obtuse last one is right

Step-by-step explanation:

Because I learned this already

Answer:

270 cubic feet

Step-by-step explanation:

3 * 6 * 15 = 270 cubic feet

Answer:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:Using PEMDAS which means (Parenthesis, Exponts, Mutliply, Divide, Add, and Subtract) The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation: We are finding sin C so that means we should divide the opposite side of angle c by the hypotenuse of the triangle. (Soh Cah Toa). The opposite side of angle c is 28 and the hypotenuse is 35. The answer is 28/35 which simplifies into 4/5. hope this helps gg

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

The solution is, the surface area of the right cone is 602 cm^2.

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

here, we have,

Given that,

The slant height of the cone, l = 16 cm

The radius of the cone, r = 8 cm

The height of the cone is :

h² = l² - r²

or, h² = 16² - 8²

         = 192

or, h = √192

       = 13.85

now, we know that,

The surface area of the cone is given by :

SA = πr² + πrl

     =200.96 + 401.92

     = 601.93

     =602

Hence,  the surface area of the right cone is 602 cm^2.

to learn more on surface area of cone click:

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Answer:

121.36

Step-by-step explanation:

L times W times H

Step-by-step explanation:

8 x 3.7 x 4.1 = 121.36

length x width x height = volume

Answer:

1584 in³

Step-by-step explanation:

(14 x 6 x 16) + (10 x 6 x 4) = 1584

Answer:

1,584

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Hey,

I'm sorry, this is not correct. For a reflection, all you have to do is count the number of points from that specific point to the line. So, for example, w is 6 units away from the line, in order to draw that, count 6 units and graph. It's pretty hard to explain, but remember the shape is being reflected, so the orientation must change. I suggest searching this up.

Let me know if you have any more questions and I'll be more than glad to help.

- Lena :)

Answer:A 131.25%

Step-by-step explanation:

Step-by-step explanation:

25%×24 =6 jahdyheuxlfoodnxhydushgdys

6 more hours did Tremaine use the computer to play video games than to do research.

The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.

Given:

The percent for Video Game= 25%

and, percent for Research = 5%

So, 25% of  30 = 25 / 100 x 30 = 7.5

5% of 30 = 5/100 x 30 = 1.5

So, the the number of hour spend on more on Video game

= 7.5 - 1.5

= 6 hour

Learn more about Percentage here:

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Answer:

The answer is 5

Step-by-step explanation:

Answer:

Factor

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

First we add what we know for y into the second equation.

5x - 4(x +2)= -3

From there, we simplify it

5x-4x-8= -3

x-8=-3

Now we get the x on its own

x=5

and now we add x=5 into the first equation that we had and simplify to find y

y=5+2

y=7

So the answer is x=5, y=7 or (5,7)

2)

For this one we do the same thing as with 1.

Add what we know for y (bottom equation) to the top equation

3x-8(x-8)=24

Now we simplify

3x-8x+64=24

-5x+64=24

And now solve for X

-5x=-40

x=8

And then substitute x=8 to find y

y=8=8

y=0

So the answer is x=8, y=0 or (8,0)

Answer:

d

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

First you'd write an equation:

y(the number of seats) = 3x(the number of rows) + 30

Then, you'd replace the X with 25 and get your answer:

y = 3 (25) + 30

y = 75 + 30

y = 105