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amm1812
3 years ago
7

(WILL AWARD BEST ANSWER) Is the relationship shown by the data linear? If so, model the data with an equation. (Data+Choices in

the attached picture)

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0
The relationship shown in this picture is linear. This can be determined by first looking at the x-column, and we can see that every value is continuously increasing by 4. Next, we look at the y-column, and we can see that each y-value is steadily increasing by 5. Since it is not increasing by a <u>factor</u> of 5, it is not exponential, it is linear. After we have determined this, we need to find the slope of the coordinates. To do this, we must take two coordinates - (1, 5) and (5, 10). Then, we need to plug in the respective values into the slope formula, giving us a slope of 5/4. Now, we take the first coordinate point in the table, (1, 5). Now, just put all the derived information into point-slope form, which gives us y - 5 = 5/4(x - 1). Therefore, the answer to your problem is B) The relationship is linear; y - 5 = 5/4(x - 1). Hope this helped!
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The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.
Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

7 0
2 years ago
Em um colégio,de 50 alunos ,40 gostam de sorvete de chocolate,35 gostam de sorvete de creme e 30 gostam dos dois sabores .Quanto
GarryVolchara [31]

Answer:

i do not speak ur language

Step-by-step explanation:

5 0
2 years ago
2. What is the value of x?<br> A. 17<br> B. 39<br> C. 26<br> D. 41
creativ13 [48]
41 a squared plus b squared equals c squared so it would be 41 have a nice day
8 0
3 years ago
Which measure of center will provide the most accurate estimation of the deposits for the savings account? Why?
faust18 [17]
Hello,

First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.

Afterwards you have to find the median. Why ?

I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.

"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?

Therefore the median is the most suitable and the most accurate to know the center because it is robust.

Now, let's find the median :

There are 10 values, so the median will be the average of the 5th and 6th values.

5th value = 85
6th value = 95

\frac{(85+95)}{2}
= 90

Therefore the median is 90.

Hope this helps !

Photon
4 0
3 years ago
Factor the expression 2x^3-10x^2-5x+25. Show your work.
azamat

Step 1. Factor out common terms in the first two terms, then in the last two terms.

2x^2(x - 5) -5(x - 5)

Step 2. Factor out the common term x - 5

(x - 5)(2x^2 - 5)

4 0
3 years ago
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