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Xelga [282]
3 years ago
12

Which perfect squares does the number 69 falls in between?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer:

64 and 81

Step-by-step explanation:

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
3 years ago
On Monday Ethan sends an email to 3 friends the next day each of the 3 friends forward the email to 3 friends and so on as shown
sergey [27]

Answer: 12 or 9

Step-by-step explanation:

4 0
3 years ago
Solve for S<br><br> P=4s<br><br> Please answer!!!!
Karolina [17]

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

6 0
3 years ago
Read 2 more answers
Examine the system of equations.
andre [41]

Answer:

x = -3

(-3,7)

Step-by-step explanation:

y = –3x – 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = –3x – 2

Add 2 to each side

7+2 =  –3x – 2+2

9 = -3x

Divide each side by -3

9/-3 = -3x/-3

-3 = x

3 0
3 years ago
Read 2 more answers
Bernardo hiked 12.8 km in June and 13.4 km in July. Nicole hiked the same total distance as Bernardo but hiked only 11.5 km in J
riadik2000 [5.3K]
Total distance hiked by Bernardo in June = 12.8 km
Total distance hiked by Bernardo in July = 13.4 km
Then
The total distance hiked by Bernardo in June and July = (12.8 + 13.4) km
                                                                                       = 26.2 km
Now it is given in the question that Nicole hiked for the same total distance in June and July.
Also it is given that
The distance hiked by Nicole in June = 11.5 km
Then
the distance hiked by Nicole in July = (26.2 - 11.5) km
                                                         = 14.7 km
So the distance hiked by Nicole in July is 14.7 km. The correct option among all the options given in the question is option "A".
6 0
3 years ago
Read 2 more answers
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