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dezoksy [38]
3 years ago
9

Solve log6 22 = log6 (5x – 8) for x

Mathematics
2 answers:
Ahat [919]3 years ago
7 0
I hope this helps you

Dafna1 [17]3 years ago
4 0

Answer:

The value of x is 6

Step-by-step explanation:

The given equation is

\log_622=\log_6(5x-8)

In both sides of the equation, the base of log is 6. Hence, we can eliminate it from both sides and we are left with

22=5x-8

Add 8 to both sides

30=5x

Divide both sides by 5

x=\frac{30}{5}\\\\x=6

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The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. Nationwide, th
TiliK225 [7]

Answer: in order to qualify, the time must be at least 15.93 minutes

Step-by-step explanation:

Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = 12.8 minutes

σ = 3.7 minutes

in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%

The z score corresponding to 80% on the normal distribution table is 0.845

Therefore,

0.845 = (x - 12.8)/3.7

0.845 × 3.7 = x - 12.8

3.13 = x - 12.8

x = 12.8 + 3.13 = 15.93

7 0
2 years ago
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 co
steposvetlana [31]

a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
2 years ago
A roller coaster at a theme park takes fans on an exciting ride. In the first 20 seconds, it carries passengers up a 30-meter hi
zaharov [31]

Answer:15 meters higher

Step-by-step explanation: 30-30+15

7 0
3 years ago
Let the correct answer
grigory [225]

Answer:

c i think sorry if i get it wrong

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the product 12 times 2/3 <br> simplify. Your answer completely
Finger [1]

Answer:

2/3 X 12 =8

Step-by-step explanation:

2.

-----. X 12 =2 x 12= 24 Which is 24/3 =8

3

7 0
1 year ago
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