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a_sh-v [17]
3 years ago
15

Which expression is equivalent to 10x^6y^12/-5x^-2y^-6? Assume .x=0.y=0.

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0
For this case we have the following expression:
 (10x ^ 6y ^ 12) / (- 5x ^ -2y ^ -6)
 Rewriting we have:
 (10 / -5) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 (-2) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 Then, for power properties:
 (-2) * (x ^ (6 - (- 2)) and ^ (12 - (- 6)))
 (-2) * (x ^ (6 + 2) and ^ (12 + 6))
 (-2) * ((x ^ 8y ^ 8)
 For x = 0, y = 0, we have:
 (-2) * ((0 ^ 8) (0 ^ 8))
 0
 Answer:
 
An expression that is equivalent when x = 0 and y = 0 is:
 
0
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You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f
insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: y=a(b)^x and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: y=a(1-r)^x where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0
1 year ago
Read 2 more answers
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
3 years ago
What are the intercepts of this line?
Fiesta28 [93]

Answer:

x-intercept: -1

y-intercept: 0.5

Step-by-step explanation:

The intercept for each is where the other coordinate is at 0.

7 0
1 year ago
NEED HELP ASAP!!!!!!!!!!!
Arte-miy333 [17]

Answer:

Step-by-step explanation:

Let the no of cars be x and no of buses be y.

x + y = 60 -> y = 60 - x

6x + 30y = 600

with the available equations let us calculate the values of x and y.

6x + 30 * (60-x) = 600

6x + 1800 - 30x = 600

24x = 1200

x cars = 50

y buses = 10

maximum profit = 50 * 2.5 + 10 * 7.5 = $200

5 0
3 years ago
Is 4 to 7 the same as 7 to 4? Explain why or why not.
Galina-37 [17]

Answer: no

Step-by-step explanation:

4 is smaller than 7. And 7 is greater than 4 so let's just say ur solving a division problem multiplication ect you always need to put the greater number first!

So yeah hope I helped! <3

3 0
2 years ago
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