Find the volume of a right circular cone that has a height of 3.2m and a base with a radius of 14.1m. Round your answer to nearest tenth of a cubic meter

Answers

Answer 1

Answer: 55 to 2 so it is 14.20

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a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair service. is there a direct variation?

Answers

Answer:

75$

Step-by-step explanation:

because 25+50=75

Answer:

The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

Step-by-step explanation:

The sum of two numbers is twenty-five. One number is five less than the other.

Answers

Answer: x=15, y=10

*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.

Step-by-step explanation:

For this problem, we can use system of equations. Let's use x for one number and y for the other.

First Equation:

x+y=25

We get this equation because it states that the sum of the two numbers is 25.

Second Equation:

y=x-5

We get this equation because it says one number (y) is 5 less than the other (x).

Since we have two equations, we can use substitution method to solve.

$x+(x-5)=25$ [distribute 1 to (x-5)]

$x+x-5=25$ [combine like terms]

$2x-5=25$ [add both sides by 5]

$2x=30$ [divide both sides by 2]

$x=15$

Now that we have x, we can plug it into any of the equations to find y.

$x+y=25$ [plug in x=15]

$15+y=25$ [subtract both sides by 15]

$y=10$

Finally, we have our answer, x=15 and y=10.

Answer:25,-5

Step-by-step explanation:

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

Answers

Answer:

$y=3e^(-4t)$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=(3s+3)/(s^2+5s+4)$

$L=(3(s+1))/((s+1)(s+4))$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^(-1)[\frac1{s-a}]=e^(at)$

$y=3\mathcal{L}^(-1)[\frac1{s+4}]=3e^(-4t)$

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, approximately what is the volume of vanilla ice cream in the cone? (round to nearest tenth) A) 1.0 in3 B) 2.1 in3 C) 4.2 in3 D) 6.3 in3

Answers

Answer:

D. 6.3 in^3

Step-by-step explanation:

V= 1/3 (3.14)(r^2)(h)

V= 1/3 (3.14) (1^2)(6)

V=6.3 in^3

Answer:

Step-by-step explanation: it was on usa test prep and the answer that was there was wrong.

Write an equation that is not a linear function. Explain why it is not linear.

Answers

A linear function contains no exponents and is straight. Any function with an exponent is not linear. x^2 is not a linear function; it is a parabola (a curve).

Hope this helps!!

What is the circumference, in centimeters, of the circle? Use 3.14 for pi (please!!)

Answers

Answer:

the diameter is 24 so the ray is 12

circonference = 2*pi*R = 2*3.14*12= 75.36

It should be 75 cm
Hope that helped

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According to a recent survey of households, the poll found that 41 % of the adults watching a special event on TV enjoyed the commercials more than the event itself. Consider a random sample of nine adults who watched the special event. Complete parts a through d below.a. For this experiment, define the event that represents a "success". i. A success is an adult who did not enjoy the commercials more than the event on TV itself. ii. A success is an adult who enjoyed the commercials more than the event on TV itself. b. What is the probability that less than four people enjoyed the commercials more than the event? c. What is the probability that exactly six or seven people enjoyed the commercials more than the event? d. What is the mean for this binomial distribution?