Last years average ticket price was £22 this year the average ticket price has increased by 5% what is the average price now

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

5 0

3 years ago

If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.

siniylev [52]

The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees

3 0

2 years ago

Grace bought a television for $329 and some DVDs for $5.75 each. Write and equations to find out how many DVDs grace bought if s

marishachu [46]

The total number of DVDs that she bough is 6

<h3>Linear equations</h3>

Linear equation are expression that has a leading degree of 1.

Let the price of each DVD be x such that if Grace bought a television for $329 and some DVDs for $5.75 each and spent a total of $363.50, ten;

329 + 5.75x = 363.5

Subtract 329 from both sides

329 + 5.75x - 329 = 363.5 - 329

5.75x = 34.5

x = 34.5/5.75

x = 6

This shows that the total number of DVDs that she bough is 6

Learn more on linear equation here: brainly.com/question/2030026

#SPJ1

3 0

1 year ago

In d Mohit deposited 2 12000 be depos would ( money 900. The interest B 800 o O 1800

jeka57 [31]

I need the answer too lol, does anyone knows it ?

5 0

1 year ago

If RQRS is a parallelogram with two adjacent congruent sides then____

earnstyle [38]

Answer:

If PQRS is a parallelogram with two adjacent congruent sides, then it must be a rhombus. A rhombus is a parallelogram characterized by having all sides congruent. Therefore, the adjacent sides must be congruent as well.

5 0

3 years ago