Guest #3884

2 months ago

**Answer: **

**Step-by-step explanation: **To find the volume of a sphere, start with the formula for the volume of a sphere.

Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.

Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.

Notice that we can cross cancel in and to and

Guest #3885

2 months ago

V=4/3pi r^3

Answer is 3053.63

Answer is 3053.63

Question

What is the input to a trigonometric function? a ratio
the x position of a point on the circle
a central angle of a circle
the y position of a point on the circle

Solution 1

**Answer: A central angle of a circle**

**Step-by-step explanation:**

The trigonometric functions are also known as circular functions.

The two fundamental trigonometric functions are defined as the coordinates of a any point A travelling around on the unit circle of radius 1 .

The input variable in trigonometric functions is the central angle of the circle 'x' such that we get sin x and cos x which give the x and y coordinates of A.

**Hence, the input to a trigonometric function is a central angle of a circle.**

Solution 2

The input to a trig function is definitely an angle (whether in degrees or expressed in radians). That angle is also "a central angle of a circle."

Question

PLEASE SOMEONE HELP ME!!!!! ILL GIVE BRAINLIEST 1. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.04x2 + 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A. 208.02 m
B. 416.30 m
C. 0.52 m
D. 208.19 m
2. A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum height.
A. Reaches a maximum height of 11.6 feet after 5.75 seconded.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.
3. A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
A. Reaches a maximum height of 22 feet after 1.00 second.
B. Reaches a maximum height of 22 feet after 2.00 seconds.
C. Reaches a maximum height of 44 feet after 2.17 seconds.
D. Reaches a maximum height of 11 feet after 2.17 seconds.

Solution 1

1. When it hit the ground=>y = 0

=>By y = –0.04x^2 + 8.3x + 4.3

=>0.04x^2 - 8.3x - 4.3 = 0

=>x = [-(-8.3) +/- √{(-8.3)^2 - 4 x 0.04 x (-4.3)}]/[2 x 0.04]

=>x = [8.3 +/- 8.34]/[0.08]

=>x = 208.02 m

Your answer is A. 208.02 m

2. A. Reaches a maximum height of 11.6 feet after 5.75 seconded.

3. B. Reaches a maximum height of 22 feet after 2.00 seconds.

=>By y = –0.04x^2 + 8.3x + 4.3

=>0.04x^2 - 8.3x - 4.3 = 0

=>x = [-(-8.3) +/- √{(-8.3)^2 - 4 x 0.04 x (-4.3)}]/[2 x 0.04]

=>x = [8.3 +/- 8.34]/[0.08]

=>x = 208.02 m

Your answer is A. 208.02 m

2. A. Reaches a maximum height of 11.6 feet after 5.75 seconded.

3. B. Reaches a maximum height of 22 feet after 2.00 seconds.

Question

A student invests $500 for 3 years in a savings account that earns 4% interest per year. No further deposits or withdrawals were made during this time. Which does NOT yield the correct balance in the account at the end of the 3 years? Please show work for the answer! A)500(1.04)^3 B)500(1-.04)^3 C)500(1+.04)(1+.04) D)500+500(.4)+520(.04)+540.8(04)

Solution 1

To get the balance after 3 years we use the formula:

A=P(1+r/100)^n

where:

A=future amount

r=rate

n=time

thus plugging in the values we obtain:

A=500(1+4/100)^3

A=500(1+0.04)^3

A=500(1.04)^3

The correct choices are A and B

The wrong choices are C and D

A=P(1+r/100)^n

where:

A=future amount

r=rate

n=time

thus plugging in the values we obtain:

A=500(1+4/100)^3

A=500(1+0.04)^3

A=500(1.04)^3

The correct choices are A and B

The wrong choices are C and D

Solution 2

**Answer:**

he`s right its a or b

i'm going with b

**Step-by-step explanation:**

Question

Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3; pi over 2, 5; pi, 3; 3 pi over 2, 1; 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? 2 over pi pi over two pi over four four over pi

Solution 1

The **rate **of **change **is 4/π which is the correct **answer **would be **option **(**D**)

A **graph **can be defined as a pictorial representation or a diagram that represents **data **or **values**.

The **slope **of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two **points **on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The coordinates of the endpoints of the **range **can be used to determine the **rate **of **change **using the slope formula: m = dy / dx.

The coordinates are

x₁=0, y₁=3

x₂=π/2, y₂=5

So rate of change = (y₂ - y₁)/(x₂ -x₁ )

Rate of change = (5-3)/(π/2-0)

Rate of change = 4/π

Learn more about the **Rate of change** here:

#SPJ5

Solution 2

X1=0, y1=3

x2=pi/2, y2=5

rate of change = (y2-y1)/(x2-x1)

=(5-3)/(pi/2-0)

=4/pi

ans is D. four over pi

x2=pi/2, y2=5

rate of change = (y2-y1)/(x2-x1)

=(5-3)/(pi/2-0)

=4/pi

ans is D. four over pi

Question

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder? A. (3.14)(5^2)(8)
B. 1/3(3.14)(5^2)(8)
C. (3.14)(8^2)(5)
D. 1/3(3.14)(8^2)(5)

Solution 1

The formula is pi*r^2*h/3

your answer would have to be B

your answer would have to be B

Question

Tanisha is planning a backyard party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Tanisha, 28 people will be at the party. Use this information to help Tanisha plan her party. Tanisha expects that each person will drink two 8−ounce glasses of lemonade at the party, and makes 448 ounces of lemonade. Tanisha's mother buys 38 lemons. They know it takes 8 lemons to make 80 ounces of lemonade. Does Tanisha need more lemons?

Solution 1

For this case we can make the following rule of three:

8 lemons --------> 80 ounces of lemonade

38 lemons ------> x

Clearing x we have:

x = (38/8) * (80)

x = 380 ounces

We observed that:

380 <448

Therefore, more lemons are needed.

**Answer:**

**Yes, Tanisha needs more lemons**

8 lemons --------> 80 ounces of lemonade

38 lemons ------> x

Clearing x we have:

x = (38/8) * (80)

x = 380 ounces

We observed that:

380 <448

Therefore, more lemons are needed.

Question

PLS HELP! Tanisha is planning a party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Tanisha, 28 people will be at the party. Tanisha expects that each person will drink two 8−ounce glasses of lemonade at the party, and makes 448 ounces of lemonade. Tanisha's mother buys 38 lemons. They know it takes 8 lemons to make 80 ounces of lemonade. Does Tanisha need more lemons?

Solution 1

Shee needs 448 ounces of lemonade.

448 ÷ 80 =5.8

⇒ There are 5.6 80-ounce of lemonade.

80 ounces of lemonade needed 8 lemons.

448 ounces of lemonade needed 8 x 5.6 = 44.8 lemons.

Tanisha has 38 lemons.

She does not have enough lemons.

She needs 44.8 - 38 = 7 more lemons.

**Answer: ****Tanisha needs more lemons. She needs 7 more.**

448 ÷ 80 =5.8

⇒ There are 5.6 80-ounce of lemonade.

80 ounces of lemonade needed 8 lemons.

448 ounces of lemonade needed 8 x 5.6 = 44.8 lemons.

Tanisha has 38 lemons.

She does not have enough lemons.

She needs 44.8 - 38 = 7 more lemons.

Solution 2

**Answer: 7 more lemons**

**Step-by-step explanation:**

Since she needs 448 ounces of lemonade you have to divide which is 5.6 . As a result there are 5.6 80 ounces of lemonade. 80 ounces needs 8 lemons. 448 ounces of lemonade are needed 8 x 5.6 = 44.8 lemons. Tanisha only has 38 lemons, which isn't enough. 44.8 - 38 = is about 7 more lemons.

Question

Please help me -3x-3x=-24

Solution 1

-3x - 3x = -24

Combine like terms:

- 6x = -24

Divide both side by -6:

x = 4

**Answer: x = 4**

Combine like terms:

- 6x = -24

Divide both side by -6:

x = 4

Question

Rafael has ridden 14 miles of a bike course. The course is 40 miles long. What percentage of the course has Rafael ridden so far

Solution 1

Percentage ridden = 14/40 x 100 = 35%

**Answer: 35%**

Question

Where can the numerator be found in a fraction? A. Above the fraction bar
B. At the fraction bar
C. Below the fraction bar
D. Either A or C

Solution 1

The answer is A. above the fraction bar. The denominator lives below the fraction bar.

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