Money earned by restaurant on Friday=$1073
Money earned by restaurant on Saturday=$1108
Let Money earned by restaurant on Sunday=$x
Average=$1000
Number of observation=3
⇒ 3× 1000=1073+1108+x
⇒3000= 2 181+x
⇒3000-2181=x
⇒x=819
The restaurant needs to earn on Sunday to average $1000 per day over the three-day period=$819
Answer: The prove is mentioned below.
Step-by-step explanation:
Here the given functions are,
We have to prove that: f(g(x)) = x and g(f(x)) = x.
Since
⇒
⇒
⇒
Now,
⇒
⇒
⇒
Answer with Step-by-step explanation:
We are given that
We have to confirm that f and g are inverses by showing that f(g(x))=x=g(f(x))
Hence, f(g(x))=g(f(x))=x
Therefore, f and g are inverses.
Volume Cylinder= _______cubic feet
Volume total= ______cubic feet
Answer:
The equation is y = 4x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x + b
Substitute the x and y value into the equation
7 = 4(1)+b
7 = 4+b
Subtract 4
7-4 =b
3=b
The equation is y = 4x+3
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of line
Triangle is both acute and scalene.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
we know that,
A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.
Given
All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.
To know more about acute triangles refer to :
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Answer:11.25 square feet of each carpet will be needed for the bedroom.
Step-by-step explanation:
The formula for determining the area of a square is expressed as
Area = length^2
Marco's bedroom is a square that one side is 7 1/2 feet. Converting
7 1/2 feet to improper fraction, it becomes 15/2 feet.
Therefore, the area of Marco's bedroom would be
(15/2)^2 = 225/4 = 56.25 square feet.
Marco wants to come in at five carpet. It means that the number of square feet of each carpet that will be needed for the bedroom is
56.25/5 = 11.25