4 years ago

Is this a A) Acute B)Equiangular C)obtuse D)right

Mathematics

2 answers:

vampirchik [111]4 years ago

8 0

The answer is A) Acute

dangina [55]4 years ago

7 0

An Acute angle because anythung 70° is acute

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Use the quadratic model y=-4x^2-3x+4 to predict y if x equals 5

seropon [69]

Answer:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -114

Step-by-step explanation:

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2 years ago

There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simp

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1 year ago

A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons

Tamiku [17]

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3 years ago

The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the n

MArishka [77]

9514 1404 393

Answer:

(dN)/(dt) = (0.4)/(1200)N(1200-N) -50

142 fish

Step-by-step explanation:

A) The differential equation is modified by adding a -50 fish per year constant term:

(dN)/(dt) = (0.4)/(1200)N(1200-N) -50

B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.

(0.4/1200)(N)(1200-N) -50 = 0

N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient

N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square

(N -600)^2 = 210,000 . . . . . simplify

N = 600 + √210,000 ≈ 1058

This steady-state number of fish is ...

1200 - 1058 = 142 . . . . below the original carrying capacity

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3 years ago