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3 years ago

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

1 answer:

8 0

You must remember that the periodicity of the function cos(x) is 2Pi. Also you should know that the maximum value of cos(x) is obtained when x = 0. So, the values of x for which cos(x) is maximum is x =0, 2Pi, 4 Pi, 6 Pi. <span>So, x = Pi * k, with k = 0, 2, 4, 6, ... An equivalent formula is x = 2Pi * n, with n = 0, 1, 2, 3, ..</span>

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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe

Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= $\frac{2}{3}$ × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V = $\frac{2}{3}$ × π × (1)³

= $\frac{2}{3}$ × π cubic feets

The volume of each smaller hemisphere-shaped mold = $\frac{2}{3}$ × π × r³ cubic units

So, for 27 molds, the volume = 27 × $\frac{2}{3}$ × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

$\frac{2}{3}$ × π = 27 × $\frac{2}{3}$ × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

#SPJ4

6 0

2 years ago

The sum of 5 consecutive even numbers is 100. What is the first number in this sequence?

gayaneshka [121]

Answer:

Step-by-step explanation:

Let's represent this with an equation, where x is the first number. The next number must be x+2, because it has to be even, not x+1, and the rest continue the same way:

x+(x+2)+(x+4)+(x+6)+(x+8) = 100

Solve for x.

5x+20 = 100

5x = 80

4 0

3 years ago

When there is no equal sign, the polynomial is called an ___________.

Tanya [424]

The answer is expression

3 0

1 year ago

Mary Beth would like to buy a more fuel-efficient vehicle instead of driving her mom's gas-guzzler. Assuming she can find a car

ozzi

Answer:

2x as much

Step-by-step explanation:

First write as an equation:

3000/16*3.75

Then that equals:

0.5

So that means her mom's car would be half as efficent as the new one

8 0

3 years ago

Simply 4 square root of 45

maksim [4K]

Answer : 12 square root 5

4 square root 45
4 square root 9 times square root 5
4 time 3 square root 5
12 square root 5

3 0

3 years ago