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3 years ago

How many almonds are in the bag?

Mathematics

1 answer:

rodikova [14]3 years ago

6 0

69420
Almonds in hypothetical bag of which we cannot see

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Can someone answer this question please?

Mekhanik [1.2K]

Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.

1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5

Total area of both trapezoids = (4.5+2.5) = 7

Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.

8 0

3 years ago

at 111111:55\text{ p.m.}55 p.m.55, start text, space, p, point, m, point, end text, thomas ties a weight to the minute hand of a

Ahat [919]

The trigonometric function's formula, which simulates the torque (tau) that the weight applied t minutes after Thomas attached it is

$3 Sin (\frac{2\frac{22}{7} }{60} (t-51))$

The angular speed of the minutes hand is

$w = \frac{2 (\frac{22}{7}) }{60}$ rad/min

Following the application of weight, the torque as a function of time t is,

$t= t_{0} sin (w (t-5) min)\\ = (3 Nm) sin ((\frac{2 (\frac{22}{7} }{60} ) rad/min (t-5) min)$

$= (3 Nm) sin ( \frac{2 (\frac{22}{7} }{60} (t-5) rad ) \\= 3 sin (\frac{2 \frac{22}{7} }{60} (t-5)$

<h3>What is torque ?</h3>

Torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. Force (F) x Distance (r) = Torque is how torque is calculated. The distance (r) between the pivot point and the force's action point. A vector quantity is a torque. As a vector quantity, torque always has a direction that is perpendicular to the plane that contains the vectors of force and displacement.

To learn more about Torque, visit

brainly.com/question/16042080

#SPJ4

7 0

2 years ago

Use 3 for at Volume of a Cylinder

pychu [463]

Step-by-step explanation:

464.5cm³

3 0

3 years ago

Find the value of the variable.

Fantom [35]

Answer:

Solution given:

y=25 [base side of isosceles triangle]

sin 45=opposite/hypotenuse

sin45=25/x

x=25/sin45

x=25√2

6 0

3 years ago

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candida

Studentka2010 [4]

Answer:

itds the pint of the secletio

Step-by-step explanation:

4 0

3 years ago