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Gnom [1K]
3 years ago
12

Find the circumference and area of a circle with diameter 22 ft. Express your answer in terms of π.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

69.12ft

Step-by-step explanation:

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The total number of seats in an auditorium is modeled by f(x) = 2x2 – 6x, where x represents the number of rows. How many rows a
stealth61 [152]

Answer:

Jose's solution is not correct, the auditorium has 16 rows

Step-by-step explanation:

we have

f(x)=2x^{2} -6x

where

f(x)------> is the total number of seats in the auditorium

x----> represents the number of rows

How many rows are there in the auditorium if it has a total of 416 seats?

so

Find the value of x for f(x)=416 seats

substitute the value of f(x) in the equation

416=2x^{2} -6x

2x^{2} -6x-416=0

Using a graphing calculator

The values of x are

x=-13, x=16

The solution is

x=16 rows because the number of rows can not be a negative number

7 0
3 years ago
What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?
julsineya [31]
The zeros of the function are also called the roots. Thus, this problem is basically locating the root of the given equation.

To locate the roots, we equate the equation f(x) to 0.

We then dissect each term to identify a, b, and c in the quadratic equation formula:

x = (- b +- √(b²-4ac))/2a

a = 2
b = 8
c = -3

x1 = 0.3452
x2 = -4.345


8 0
3 years ago
Read 2 more answers
In recent years major league baseball games have averaged three hours in duration. However, because games in Denver tend to be h
lara31 [8.8K]

Answer:

We conclude that the games in Denver would be longer than major league baseball games.    

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 180 minutes

Sample mean, \bar{x} = 185.54 minutes

Sample size, n = 81

Alpha, α = 0.05

Sample standard deviation, s = 24.6 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 180\text{ minutes}\\H_A: \mu > 18\text{ minutes}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{185.54 - 180}{\frac{24.6}{\sqrt{81}} } = 2.026

Now,

t_{critical} \text{ at 0.05 level of significance, 80 degree of freedom } = 1.664

Since,                      

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis.

We conclude that the games in Denver would be longer than major league baseball games.

8 0
3 years ago
Sara borrows
Ugo [173]

Answer:

It will take 18 weeks

Step-by-step explanation:

Here, we are told that she owes a total of $81 which decreases at a rate of $4.50 per week

The number of weeks it will take to finish paying the debt will be the amount owed divided by the payment per week

Mathematically that is 81/4.5 = 18

3 0
2 years ago
Simplify the expression (4x) −4th power Write your answer using only positive exponents.
Inga [223]

Answer:

4x4x4x4

Step-by-step explanation:

I needed points

8 0
3 years ago
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