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diamong [38]
3 years ago
11

Please help!!! I’ll mark brainliest!! (Look at picture)

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0

Answer:

\huge\boxed{\sf (x*4) + (x*5) = 54}

Step-by-step explanation:

\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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11111nata11111 [884]

Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is 607,325

(ii) The population after 24 hours is 1,828,643

(c) The rate of increase of the population as a percentage per hour is 7.132%

(d) The doubling time of the population is approximately, 10.06 hours

Step-by-step explanation:

(a) The initial population of the bacteria, y₁ = a = 350,000

The time the colony grows, t = 12 hours

The final population of bacteria in the colony, y₂ = 800,000

The exponential growth model, can be written as follows;

y = a \cdot (1 + r)^t

Plugging in the values, we get;

800,000 = 350,000 \times (1 + r)^{12}

Therefore;

(1 + r)¹² = 800,000/350,000 = 16/7

12·㏑(1 + r) = ㏑(16/7)

㏑(1 + r) = (㏑(16/7))/12

r = e^((㏑(16/7))/12) - 1 ≈ 0.07132

The  model is therefore;

y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is given as follows;

y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82

By rounding down, we have;

The population after 8 hours, y = 607,325

(ii) The population after 24 hours is given as follows;

y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571

By rounding down, we have;

The population after 24 hours, y = 1,828,643

(c) The rate of increase of the population as a percentage per hour =  r × 100

∴   The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%

(d) The doubling time of the population is the time it takes the population to double, which is given as follows;

Initial population = y

Final population = 2·y

The doubling time of the population is therefore;

2 \cdot y = y \times (1 + 0.07132)^t

Therefore, we have;

2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

8 0
3 years ago
I need help with this<br>histogram
chubhunter [2.5K]
A is what I thinkkkk
4 0
3 years ago
Please Help! Will mark brainliest!
damaskus [11]

Answer:

440 miles

Step-by-step explanation:

miles  ÷ gallons

132 ÷ 6 = 22

22 miles per gallon

22 × 20 = 440

3 0
3 years ago
Plzz help i don't understand that well
postnew [5]

Answer:

No

Step-by-step explanation:

A triangle's lengths HAVE TO add up to 180 degrees.

3 0
3 years ago
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What is an appropriate scale to graph a credit of $35 and a debit of $40?Explain your reasoning
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A bar graph since I'm only going up by fives it's easy to show as a bar graph
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