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Aneli [31]
3 years ago
10

Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is-20t+

45, where tis number of hours he has been traveling. What is his speed in miles per hour?
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

Speed  = 20 mi/h

Explanation:

There are two points A and B

Distance between both the points are define with function -20t + 45 miles

where t represent the number of hours of travelling.

Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.

At t=0;

d₀ = -20(0) + 45 = 0 + 45 = 45 miles

Now we find the distance travell after starting first hour.

Than we put t = 1 in the given function

At t = 1;

d₁ = -20(1) + 45 = -20 + 45 = 25 miles

Difference between d₁ & d₀ is

45 - 25 = 20 miles

We see that in one hour, total distace is covered 20 miles

Now we use time, speed, distance relation

Speed = \frac{distance}{time}

S = \frac{20}{1}

S = 20 miles/hour

That's the final answer.

I hope it will help you.

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What is the value of X in the diagram
siniylev [52]

Answer:

3.5

Step-by-step explanation:

we can do proportions

12/16 = 10.5/4x

cross multiply

x = 3.5

7 0
3 years ago
Evaluate 13+(43÷2)×5−17 .
inn [45]

Answer:

103.5

Step-by-step explanation:

13 + (43 ÷ 2) × 5 - 17

13 + 21.5 × 5 - 17

13 + 107.5 - 17

107.5 - 4

103.5

5 0
3 years ago
Read 2 more answers
A diameter of a circle has endpoints p(-10,-2) and Q(4,6)
hodyreva [135]

Answer:

a. (-3,2)

b. sqrt65

c.

Step-by-step explanation:

a. To find the center of the circle, you can think of it just like finding the midpoint between the two endpoints. To find a midpoint between two endpoints, you take the average of the x values to get the x coordinate, and you take the average of the y values to get the y coordinate of the midpoint. Therefore, if (-10, -2) is (x1, y1) and (4, 6) is (x2, y2), the midpoint/center of the circle would be:

( (x1+x2)/2, (y1+y2)/2 ). When you plug in our x and y values, you get (-3, 2).

b. To find the radius of a circle, you need to know the center/midpoint of the circle which we solved for in part a. The formula for finding the radius of a circle with the center is (x-h)^2 + (y-k)^2 = r^2 for (h, k) as the center. The coordinates of the center that we found earlier for this circle are (-3, 2). With that, we just plug in our numbers into the formula, and we get:

(x+3)^2 + (y-2)^2 = r^2. Now, to get r, we can choose one of the original two endpoints given and plug in the x and y coordinates from that point into this equation. I like (4, 6), so I'm going to plug in 4 for x and 6 for y, and so we get (4+3)^2 + (6-2)^2 = r^2 which equals 49 + 16 = r^2 when simplified. 49 plus 16 is equal to 65, so we get 65 = r^2. To finally get r, we square root both sides of the equation to get r =  sqrt65 which is already in the simplest radical form.

c. The circle equation is (x-h)^2 + (y-k)^2 = r^2, like I said in part b. Therefore, we already have our circle equation! We just plug in our center points and we get (x+3)^2 + (y-2)^2 = sqrt65. This is usually an equation a question will give you for a circle, and with this information, they will expect you to find the center (h, k) or the circle and it's radius, r.

4 0
3 years ago
A company is preparing to launch a new web site to sell its products. From past experience, they know that purchases at the site
gtnhenbr [62]

Answer:

a. 0.333

b. 0.657

c. 1.667

d. -4.07

Step-by-step explanation:

a. Expected time of the first purchase is 10/30 = 0.333

b. Probability for time of 0.14 minutes before first purchase is :

e^-rt, r = 30/10 = 3 , t = 0.14

e^ -3 * 0.14 = 0.65704

c. Expected time until 5th order :

1 / [30/10] * 5 = 1.6667

d. Probability that 8th purchase will occur between 1.33 and 2 minutes ;

[30/10 ] / [ 1/2] = 6

Chi squared distribution ;

1.33 * 6 - 2 * 6 = -4.02

7 0
3 years ago
PLEASE ANSWER QUICK Include explanation if you want Brainliest!
balandron [24]
2w + 4 = 24
So... w = 10
6 0
2 years ago
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