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tangare [24]
3 years ago
6

HELP P PICTURE IS SHOWN

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0
X would be 6 since
35 ÷ 5= 7
then you'd divide
42 ÷ 7 and get 6
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The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
Complete the following to analyze the graph shown.
Svetradugi [14.3K]
At zero, the value of the function is zero. It then rises to its maximum value, then falls to zero and then to its minimum value and then back to zero.

So, the graph follows the pattern of Sine Function: <span>(B. zero-max-zero-min-zero) starting at the origin. This suggest the coefficient a of the sine function is positive.

Maximum value of the function as seen from the graph is 5, and the minimum value is -5. So the amplitude of the function is 5 and the vertical translation k = 0 as the graph rises equally above and below x-axis.</span>
5 0
3 years ago
Read 2 more answers
Solve and simplify.. 1/2 ÷6 =​
nikklg [1K]

Answer:

1/12

Step-by-step explanation:

1/2 ÷ 6

is the same as;

1/2 × 1/6 = 1/12

4 0
3 years ago
3. x + 4y = 30<br> x - 2y = 0
kolbaska11 [484]

Answer:

Step-by-step explanation:

Given that:

x + 4y = 30

x - 2y = 0

Subtracting both equations:

6y = 30

y = 30/6

y = 5

Putting in above equation

x + 4(5) = 30

x + 20 = 30

x = 10

i hope it will help you

5 0
3 years ago
The number of chickens to the the number of ducks on a farm was 6:5. after 63 ducks were sold, there were three times as many ch
Rom4ik [11]
Let x be the common factor between chickens and ducks. Then:
6x/(5x-63)=3/1
15x-189=6x
9x=189
x=21
6x=123 chickens were on the farm
☺☺☺☺
8 0
3 years ago
Read 2 more answers
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