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ch4aika [34]
3 years ago
12

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

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Decrease 18 tonnes by 30%
Leviafan [203]
10% of 18 tonnes = 1.8 tonnes
30% of 18 tonnes = 5.4 tonnes
18 - 5.4 tonnes = 12.6 tonnes
5 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
when a spherical balloon is filled with air, it has a radius of 3 inches. what is the estimate for the volume of air in the ball
Crazy boy [7]

The volume of a sphere is given by the equation V=\frac{4}{3} \pi r^{3}, where V is the volume and r is the radius.


To answer this question, simply plug the correct values into the equation:

V=\frac{4}{3} \pi 3^{3} \\V=4.1888(27)\\V=113.0976


The volume of the air in the balloon is about 113.0976 in3.


Hope this helps!!

7 0
3 years ago
Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cooki
IrinaVladis [17]

Answer:

4/13 or 30.769%

Step-by-step explanation:

5 0
2 years ago
Look at the table of values below.
Eduardwww [97]

Answer:

y = 2x - 1

Step-by-step explanation:

1(2) - 1 = 1

2(2) - 1 = 3

3(2) - 1 = 5

4(2) - 1 = 7

3 0
3 years ago
Read 2 more answers
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