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Luden [163]
3 years ago
8

Help Pls ima fail school lol

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

See pic

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 the graph of the equation 5x - y = 8, the point whose y-coordinate is 7 has an x-coordinates of ?
Lemur [1.5K]

Answer:

x = 3

Step-by-step explanation:

To find the x-coordinate, substitute y = 8 into the equation abd solve for x

5x - 7 = 8 ( add 7 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Thus (3, 7) is a solution to the equation


3 0
3 years ago
Read 2 more answers
Pls answer x-24=58; x=82<br>yes I know its easy
MatroZZZ [7]
I think you solved it on your own because x is 82
4 0
3 years ago
Read 2 more answers
How many tiles of dimension 22.5 cm x 10 cm x 7.5 cm can be painted if the paint is sufficient for the surface area 2812.50 m2 (
fenix001 [56]

Answer:

30 000 tiles

Step-by-step explanation:

Firstly convert the dimensions into metres

Then find the total surface area for one tile...in its....;

T.Surface area = 2(0.225 × 0.1) + 2(0.1 × 0.075) + 2(0.225 × 0.075)

Total surface area of one tile = 0.09375m^2

Then divide it into the surface area that the paint can be applied to....

2812.50 ÷ 0.09375 = 30 000 tiles

8 0
3 years ago
Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves the soup in 280 ml portions, correct to the nearest 1
Levart [38]

Answer:

Joy definitely does have enough soup for 22 people.


Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml  :

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters  :

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

7 0
2 years ago
Read 2 more answers
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