Answer:
A restaurant surveys all its breakfast customers about meal quality.
A company that produces natural food flavorings conducts taste tests with all its employees.
A veterinarian collects information from his or her clients about dog food brand preferences.
Step-by-step explanation:
Answer:
−5z−21
Step-by-step explanation:
If factored it is :-5z-21
Answer:
Spreadsheet values
- B3 = $15 (shown)
- C4 = $420 (shown)
- D6 = $272.5
- E4 = $6
- F2 = $16
- F6 = $5
Other values
- profit maximizing Q: 35
- profit maximizing P: $13
- maximum profit: $227.5
Step-by-step explanation:
Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.
a) The relationship between quantity, price, and revenue is ...
total revenue = quantity × price
price = (total revenue)/quantity
Then ...
- B3 = 375/25 = 15 (as shown)
- C4 = 30×14 = 420 (as shown)
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b) The relationship between total cost and marginal cost is ...
mc2 = (tc2 -tc1)/(q2 -q1)
tc2 = (mc2)(q2 -q1) +tc1
Then ...
- D6 = 9(40 -35) +227.5 = 272.5
- E4 = (192.5 -162.5)/(30 -25) = 6
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c) Marginal revenue is figured the same way as marginal cost.
mr2 = (r2 -r1)/(q2 -q1)
Then ...
- F2 = (320 -0)/(20 -0) = 16
- F6 = (480 -455)/(40 -35) = 5
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d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.
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e) The price at a quantity of 35 is 13. This value is read from the given table.
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f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Step-by-step explanation:
x²+2x-3=0
(x²+3x)-(x-3)=0
x(x+3)-1(x+3)=0
(x-1)(x+3)=0
x=1 or x=-3
