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3 years ago

What is the circumference of a circle with a diameter of 72 feet? Leave your answer in

Mathematics

1 answer:

Anettt [7]3 years ago

4 0

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

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Nolan has $15.00. He earns $6.00 an hour babysitting. Claire has $9.00. She makes $8.00 an hour babysitting. Use the system of l

IrinaK [193]

Since both equations are equal to ‘m’ plug it in!
6h+15=8h+9
*now simplify by adding and subtracting likes from one side to another*
6=2h
*now divide both sides by 2*
3=h; Nolan and Claire will have the same amount of money after 3 hours

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3 years ago

What are the characteristics of the function f(x) = 2(x-4)5?

Ivanshal [37]

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .

3 0

2 years ago

A travelling salesman sells milkshake mixing machines and on average sells 8.4 machines per month. He needs to sell at least 3 m

klio [65]

Answer:

P(X<3) = 0.01004

Step-by-step explanation:

From the given information:

Consider the application of Poisson distribution $P(X = x ) = \dfrac{e^{-\lambda} \lambda ^x}{x!}$ with the parameter $\lambda = 8.4$ ;

Therefore, we can calculate the required probability as follows:

P(X< 3) = P(X = 0) + P(X = 1) + P(X =2)

$P(X< 3) = \dfrac{e^{-8.4} 8.4^0}{0!} + \dfrac{e^{-8.4} 8.4^1}{1!} + \dfrac{e^{-8.4} 8.4^2}{2!}$

$P(X< 3) =e^{-8.4}( 1 + 8.4+35.28)$

P(X<3) = 0.01004

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3 years ago

Argelia is talking to her friend Adam about kayak fishing. She has been fishing many times on the Broad River, but she has never

MrRa [10]

He answer is subjective probability. Subjective probability is when it has no prior calculations and the person is just guessing. Theoretical probability is when it’s based on prior calculations. Experimental probability is when you experiment and calculate.

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4 years ago

A quadratic function f(x)f(x) is hidden from view. You must find the xx-intercept(s) of f(x)f(x) and write the answer(s) in the

Alika [10]

f(x) should be in canonical form. So it must have the form

$f(x)=a(x-x_v)^2+y_v$

Where a is the main coefficient and is the vertex

Step-by-step explanation:

A quadratic function has a unique extreme value in its vertex. That value might be a maximum or a minimum depending on the sign of the main coefficient of the quadratic function. In order to quickly obtain the vertex, the quadratic must be written in canonical form. That means that f(x) must have the form

$f(x)=a(x-x_v)^2+y_v$

Where a is the main coefficient (which should be negative so that a minimum exists in the first place) and is the vertex. If f(x) is written in that form, then it will be easier to find the minimum of f(x), which is the vertex

Hence for the quadratic function below

$\begin{gathered} f(x)=(x-2)^2-9 \\ f(x)=x^2-4x-5 \\ ax^2+bx+c \\ a=1,\text{ b=-4, c=-5} \\ x_v=-\frac{b}{2a} \\ x_v=\frac{-(-4)}{2(1)} \\ x_v=\frac{4}{2} \\ x_v=2 \\ y_v=2^2-4(2)-5 \\ y_v=-9 \\ (x,y)\longrightarrow(2,-9) \end{gathered}$

Hence there is only one x- intercept and answer is (2, -9)

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2 years ago