Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.
So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
Answer:
-7/32
Step-by-step explanation:
Multiply,Simplify
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The x- coordinate of the vertex is at the midpoint of the zeros.
Given
f(x) = (x - 4)(x + 2)
Find the zeros by letting f(x) = 0 , that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 4 = 0 ⇒ x = 4
Then
= 
= 
= 1
Substitute x = 1 into f(x) for corresponding y- coordinate
f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9
Vertex = (1, - 9 )
Answer:
Step-by-step explanation:
(C) ( - 10, 6 )
Answer:
the dimension that will minimize cost are radius of 2.79 inch and height of cylinder of 1.40 inch.
Step-by-step explanation:
volume of a circular cylinder = πr²h
volume of 19 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches) = 19* 1.80469 =34.28911 in³
The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side, means
surface area of top + bottom = surface area of side
area of circle(top + bottom) = πr²+πr² = 2πr²
area of the side = 2πrh
the cost of top and bottom = twice the cost of side
2πr² = 2( 2πrh) = 4πrh
divide both side by 2πr
r= 4πrh/ 2πr =2h
r = 2h
for volume = πr²h = 34.28911 in³
and r = 2h
π(2h)²h =34.28911 in³
4πh³ = 34.28911 in³
h³ = 34.28911 /(4*3.142) = 2.7283 in³
h = cube root of 2.7283 in³ = 1.397 inch
r = 2* 1.76 = 2.794 inch
the dimension that will minimize cost are radius of 2.79 inch and height of cylinder of 1.40 inch.
