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4 years ago

8

I NEED HELP NOW PLEASE!!!!!!!!

1 answer:

valkas [14]4 years ago

3 0

We notice that the number of pages read is a function of the number of days:

If y is the # of pages read and x the # days, so the equation becomes:

y = m.x + b where m is the rate of reading or the slope and b a constant. How to calculate m? and later b

Note that we can rewrite the given as:

x| 0 | 2 | 5 | 7 |
-|------|-----|-----|------|
y| 57 | 99|162 |204 |

m= (y₂-y₁)/(x₂-x₁) = Rise/Run

m= (204-162)/(7-5) = (162-99)/(5-2) = (99-57)/(2-0) = 21

Then
m = 21 and the function y = 21.x +b

We notice in the table that when x = 0; y = 57, then
57 = 0.x + b that means b = 5 and the final equation is:
y = 21.x + 57

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A hot air balloon traveled 2.5 hours at the speed of 450 km/hr what the distance did it travel

Elis [28]

This balloon can travel 450 km every hour. You travel for 2.5 hours, so multiply:

450km/h * 2.5h = 1125km

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3 years ago

Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter

jolli1 [7]

Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

$\frac{d(r(t) = 3ti + (1 - 4t)j + (1 + 2t)k)}{dt} \\r'(t)=3i-4j+2k\\$

since s(t) is the arc length for r(t), which is define as

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt$

if we substitute the value of r'(t) we arrive at

$s(t)=\int\limits^t_0 {||r'(t)||} \, dt\\s(t)=\int\limits^t_0 {\sqrt{3^{2} +4^{2}+2^{2}} \, dt\\s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\$

$s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }$

substituting the value of t in to the given vector equation we have

$r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k$

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4 years ago

Find the area of a rhombus.<br> 4<br> 30°

Vedmedyk [2.9K]

Answer:

$13.86$

Step-by-step explanation:

you should see 2 triangles with angle 60 bounded by two equal sides of 4

$=2(\frac{1}{2} (4)(4)sin 60)\\=13.86$

6 0

2 years ago

Suppose the dimensions of a rectangle with a perimeter of 18 inches are quadrupled. Find the perimeter of the new rectangle in i

oee [108]

The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.

<h3>What are the side lengths of the first triangle?</h3>

The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:

5 inches + 5 inches + 4 inches + 4 inches

<h3>What are the side lengths of the new triangle?</h3>

5 inches x 4 = 20 inches

4 iches x 4 = 16 inches

<h3>What is the new perimeter?</h3>

20 + 20 + 16 +16= =72 inches

Learn more about perimeter in: brainly.com/question/6465134

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3 years ago

Duolingo assigned you 20 assignments over the weekend. You completed 4/5 of the assignments. How many assignments did you comple

ValentinkaMS [17]

Answer:

19.2

Step-by-step explanation:

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3 years ago