Guest #3324

2 months ago

No one has mentioned, so I will. What you are looking for is the permutation of 3 things taken 2 at a time. In other words, how many different unique ways are there to arrange 3 items, say colored balls, taking 2 of them for each group. By unique, I mean that 1 red and 1 blue is the same as 1 blue and 1 red,

Question

Solve the equation 2 cos x + 1 = 0 , 0 <= x <= 2pi PLEASE HELP! WILL AWARD!

Solution 1

It would be pi over 6, 5 pi over 6, and 3 pi over 6.

Solution 2

Im not saying its right but I got 0,2π3,4π3,and2π f(x)=2cos2x−cosx−1=0

Solve this quadratic equation for cos x.

Since a + b + c = 0, use shortcut.

One real root is cos x = 1 and the other is cosx=ca=−12.

Trig table and unit circle -->

a. cos x = 1 --> arc x = 0, and arc x=2π

b. cosx=−12 --> arc x=±2π3

The arc −2π3 is co-terminal to the arc: 4π3

Answers for (0,2π):

0,2π3,4π3,and2π

Solve this quadratic equation for cos x.

Since a + b + c = 0, use shortcut.

One real root is cos x = 1 and the other is cosx=ca=−12.

Trig table and unit circle -->

a. cos x = 1 --> arc x = 0, and arc x=2π

b. cosx=−12 --> arc x=±2π3

The arc −2π3 is co-terminal to the arc: 4π3

Answers for (0,2π):

0,2π3,4π3,and2π

Question

Evaluate 3P4, I didn’t understand this question but if you know it would great if you could explain!!! 15,120
36
3,024
504

Solution 1

The thing is 3,024 my dude

Solution 2

**Answer:**

3,024

**Step-by-step explanation:**

Question

How many times do 12 go into 30

Solution 1

2 times with 6 left over because you would see how many times without going over and that would be 2 because 2x12 equals 24 amd 3x12 equals 36 bit that is ocer thirty then 30-24 equals 6. 6 is your remainder. Your full answer is 2 r4

Question

determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.

Solution 1

Equation for one year:

0.0725(400)

But we have 7 years:

7(0.0725(400))

Multiply in the parentheses

7(29) = 203

400 + 203 = 603

**You now have $603, and made $203**

0.0725(400)

But we have 7 years:

7(0.0725(400))

Multiply in the parentheses

7(29) = 203

400 + 203 = 603

Question

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?

Solution 1

The** maximum height** at the moment is **266.0625 ft**.

The **equation for a projectile's height** versus time is

h = 2

V = 130

Substitute these values into the function

Take the first derivative

Equate the derivative with zero .

Solve the equation -32 t + 130=0

32 t = -130

t = -130 /(-32)

= 4.0625(s) .

Find the **maximum height** at the moment

t = 4.0625 (s)

h(4.0625)

= - 264.0625+528.125+2

= 266.0625 ft.

Therefore, the** maximum height** at the moment is **266.0625 ft**.

To learn more about **projectile's height**

#SPJ2

Solution 2

For this case we must use the projectile equation for this problem.

We have then:

h (t) = - 16t ^ 2 + Vt + h

Where,

V: initial speed

h: height

For the tennis ball we have:

h (t) = - 16t ^ 2 + 130t + 2

**Answer:**

**An equation that correctly models the ball's height as a function of time is:**

**h (t) = - 16t ^ 2 + 130t + 2**

We have then:

h (t) = - 16t ^ 2 + Vt + h

Where,

V: initial speed

h: height

For the tennis ball we have:

h (t) = - 16t ^ 2 + 130t + 2

Question

Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5% on the first 10 suits he sells. If he sells more than 10, he earns another 3% on the additional suits. Last weekend Juan sold 13 suits priced at $250 each. What was his commission? A. $185.00
B. $260.00
C. $147.50
D. $210.40

Solution 1

C. $147.50

the first 10 suits would sell at 250 each totaling 2500 which means he earns 5% of $2500, which is 0.05 x 2500 = $125. The next 3 suits which also sold at 250 which totals $750, he makes 3% of that amount which is 0.03 x 750 = $22.50. Together is makes 125 + 22.50 = $147.50 in commission.

the first 10 suits would sell at 250 each totaling 2500 which means he earns 5% of $2500, which is 0.05 x 2500 = $125. The next 3 suits which also sold at 250 which totals $750, he makes 3% of that amount which is 0.03 x 750 = $22.50. Together is makes 125 + 22.50 = $147.50 in commission.

Question

URGENT!!!! 100 POINTS!!! Data is shown from a random selection of bamboo plants on a bamboo farm. The number of days since the plant appeared above the soil and the height of the plant are shown. Days Since Plant Showed Above Soil l Height of Bamboo Plant in Centimeters
2 l 6.5
10 l 35.2
12 l 39.9
8 l 26.4
5 l 18.5
17 l 59.4
7 l 26.6
26 l 91.3
23 l 83.1
28 l 95.0
15 l 52.4
13 l 45.4
32 l 110.1
10 l 35.8
18 l 65.0
15 l 52.7
Which of the following lines of best fit represent the data if x is the number of days since the plant appeared and y is the height of the plant? (You might/might not need to make a scatter plot! Depends on the understanding of the question.)
y = –3.5x + 0.7
y = –0.7x + 3.5
y = 0.7x + 3.5
y = 3.5x + 0.7

Solution 1

Y=3.5x+0.7 is the answer.

Question

The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 390 mm3, what is the volume of the stack of pennies on the right in cubic millimeters?

Solution 1

**Answer:**

390 would be the answer

**Step-by-step explanation:**

they are literally the same thing.

Solution 2

I was told the answer was 375mm3

Question

The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 390 mm3, what is the volume of the stack of pennies on the right in cubic millimeters?

Solution 1

**Answer: The required volume is 390 mm³.**

**Step-by-step explanation: ** Given that the stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. The volume of the stack of pennies on the left is 390 mm³.

we are to **find the volume of the stack of pennies on the right in cubic millimeters.**

The number of pennies on the left and right are same, **equal to 15.**

Also, the **volume of the stack of pennies on the left is 390 mm³.**

Since the **number of pennies on the right and left are equal**, so the** volume of the stack on the right and left are also equal.**

**Therefore, the volume of the stack of pennies on the right is 390 mm³.**

**Thus, the required volume is 390 mm³.**

Solution 2

**Answer:**

The answer is 390 mm³

Question

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 5 inches and a height of 16 inches.

Solution 1

**Answer:**

**Step-by-step explanation:**

**Cavalieri’s Principle:** If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

Thus, we are given that the radius of the cylinder is 5 inches and height is 16 inches, therefore volume of oblique cylinder is given as:

Substituting the given values,, we have

**Thus, the volume of the oblique cylinder is 400π cubic inches.**

Solution 2

V= (pi)r^29(h)

V= (pi) 25(16)

V= 400(pi) in^3

V= (pi) 25(16)

V= 400(pi) in^3

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