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kenny6666 [7]
2 years ago
5

PLZZZ HELP ILL MARK BRAINLIEST Simplify the following expression by combining like terms.Select the most simplified expression 2

w+5w -6 +4w
A.5W
B.11W - 6
C.7W -2
D.7W -6 + 4W
Mathematics
2 answers:
Basile [38]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Like terms are the ones with same variables.

2w + 5w - 6 + 4w = 2w + 5w + 4w - 6

                             = (2 + 5 + 4)w -6

                             = 11w - 6

meriva2 years ago
4 0

Answer:

c

Step-by-step explanation:

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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
2 years ago
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr
NARA [144]


 tax gets added to the price of the camera

 so the equation is:

x + 0.07x = 45; x = $42.06

3 0
2 years ago
Help! Quickly!!!!
Naily [24]

Answer:

$116.82

Step-by-step explanation:

$99 * 18% = $17.82

^ this is our tax now we need to add it to the total cost of the room ($99)

$99 + $17.82 = $116.82

7 0
2 years ago
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she w
Olegator [25]
The total bill amount before the service fee is given as $45.
We are given that the tip she wants to leave is 15% of the bill amount, this means that:
tip value = 0.15 * 45 = 6.75$

The total bill would be the summation of the original bill and the tip value she left.

Total bill amount = 45 + 6.75 = 51.75$
6 0
3 years ago
Read 2 more answers
What is 4.06 increased by 17?<br><br>please help me ​
Dafna1 [17]

Answer:

21.06

Step-by-step explanation:

4.06 increased by 17

4.06 + 17

21.06

4 0
2 years ago
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