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Anvisha [2.4K]
2 years ago
10

A student must study for 20 to 30 hours a week to maintain their grade point average. If the

Mathematics
1 answer:
Leni [432]2 years ago
7 0
The answer would be [20/7,30/7]

That gives you an idea of how long each day the student must study in order to maintain their GPA
You might be interested in
On a​ map, 1 inch equals 10 miles. Two cities are 6 inches apart on the map. What is the actual distance between the​ cities?
valentina_108 [34]

Answer:

The answer is 60 miles.

Step-by-step explanation:

Each inch is 10 miles and there are 6 inches. This means that the cities and 60 miles apart.

8 0
3 years ago
Read 2 more answers
During a sale, a bookstore sold 250 books. At the end of the sale, the store has 75% of the original number of books. How many b
shutvik [7]
90 books would be left I believe I just took 250/9 since it would take 9 quarters to make $2.50 and since 75% was gone that would mean 25% is left so your answer is 90 unless it’s not but I believe it’s right.
5 0
3 years ago
|x-4|=12 may someone answer this question
IRINA_888 [86]

Answer:

x= 16 or -8

Step-by-step explanation:

absoultes

3 0
3 years ago
Read 2 more answers
Given the function h(a) = -x^2+ 7x + 14, determine the average rate of change
Yakvenalex [24]

Answer:

- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = \frac{6-20}{8-1} = \frac{-14}{7} = - 2

6 0
2 years ago
(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s
Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0
2 years ago
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