i need help with my math homework

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: 170

Step-by-step explanation:

275-105

Answer:

Factor

Step-by-step explanation:

1 pound is equivalent to 16oz

Answer:

is this a question?

Step-by-step explanation:

Answer:

6-n / (n/2)-6,,,,,,,,,

Answer:

42+1882384/23 √14

Step-by-step explanation:

√56/23 (98^3) +42

42+1882384/23 √14

Answer:

270 cubic feet

Step-by-step explanation:

3 * 6 * 15 = 270 cubic feet

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

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:

The answer is 5

Step-by-step explanation:

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

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:

15 = 533 as the lowest possible fraction. The repeating decimal 0.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.

So to find how many 2/3 is in 10 cups you simply have to divide

10/(2/3) = 15

So 10 cups of flour is 15 (2/3) cups of flour.

Hope this helps :)

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:

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:

A

Step-by-step explanation:

2(6)-3(4)=0<9

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:

brainly.com/question/1984638

#SPJ2

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:

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