Answer:
Try D
Step-by-step explanation:
Complete Question
At a concert 3 out of 10 people who entered the Alamodome wore Nike shoes based on this information if there are 1200 people at the music concert how many people could be expected to be wearing Nike shoes?
Answer:
360 people
Step-by-step explanation:
The fraction of people wearing Nike shoes = 3/10
The total number of the people at the concert = 1200 people
Therefore, the number of people cthat ould be expected to be wearing Nike shoes is calculated as:
3/10 × 1200 people
= 360 people
The output of the function when x=4 is 23
<h3>How to determine the output</h3>
Given the function as;
f(x)=4x+7
We are told to find f ( 4)
This explains that we should substitute the value of x as 4 in the function:
To find the value of the function at x = 4 we have:
If f(x)=4x+7
Then,
Put 4 as a replacement for x, we have:
f ( 4) = 4 ( 4) + 7
Expand the bracket
f ( 4) = 16 + 7
Add the values
f ( 4) = 23
The value of the function is 23
We can see that the value of the function when x is 4 is 23
Thus, the output of the function when x=4 is 23
The complete question is;
For each function what is the output for the given input?
For f(x)=4x+7, find f(4)
Learn more about functions here:
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The radius of the given circle is 5 units with the equation x²+y²+8x-6y+21=0.
<h3>
What are circles?</h3>
All points in a plane that are at a certain distance from the center combine to form a circle.
It is the curve that a moving point in a plane draws to keep its distance from another point constant, to put it another way.
In the center of a circle, equal chords subtend equal angles.
So, the radius of the circle with equation x² + y² + 8x – 6y + 21 = 0:
General form:
(x – a)² + (y-b) = r²
x² + y² – 2ax – 2by + (a² + b² – r²) = 0
We know that: r = √(a² +b²)
Compare the following equation to the equation's general form.
We obtain:
-2ax = 8x ⇒ a = – 4
-2by = -6y ⇒ b = 3
r = √((-4)2 +32 ) = √16 + 9 = √25 = 5
Therefore, the radius of the given circle is 5 units with the equation x²+y²+8x–6y+21=0.
Know more about circles here:
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Correct question:
What is the radius of a circle whose equation is x² + y² + 8x – 6y + 21 = 0?
Answer:
x^32
Step-by-step explanation:
The general rule for multiplying up exponents is an x^y * x^y (exponet x and exponent) is that you add the too exponents if the base is the same.
so in this case it is x^4 * x^8
that is ^4 * ^8
4*8 equals 32
so the answer is x^32
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