There are total 30 students in the piano class.
<h3>What is Ratio and Proportion ?</h3>
When a number can be divided by another number then they can be written as p : q , when two ratios can be equated using an equal sign then they are said to be in proportion.
It is given that the total number of girls is 40% of the total students
The ratio of total students to girls is 100 :40
= 10 :4
= 5 : 2
It is also given that in the total number of students 12 were girls
Let total students be x
Then the ratio is x : 12
As both the ratio are same and so can be equated and the proportion will be
5 : 2 = x : 12
5/2 = x /12
x = 30
Therefore there are total 30 students in the piano class.
To know more about Ratio and Proportion
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14 quarter inches is 3 and a half inches
Hope this helped :)
F(x) = 3x² - 12
Finding where the graph crosses the axes will help us to determine the correct graph
When x = 0,
f(0) = 3(0)² - 12
f(0) = -12
So we have one point (0, -12)
When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2
So the graph crosses the x-axis at -2 and 2 and the y-axis at -12
The correct graph is option A
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:It’s false
Step-by-step explanation:
because it goes over 7 feet and they wanted exactly 7 feet
