1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
3 years ago
8

Please answer! this is an important exam that im taking right now.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

Required ordered pair is (0,0) for system of equation

Step-by-step explanation:

The given system of equation is

A). 9^{12x} = 9^{3y}

B). y^{4} - 9y^{2} x^{2} =16y

On simplifying the equation A

9^{12x} = 9^{3y}

Take log on both side,

(12x) (log9) = (3y) (log9)

4x=y

To find the solution of the system of the equation :

Replacing value of y=4x in equation B,

y^{4} - 9y^{2} x^{2} =16y

(4x)^{4} - 9(4x)^{2} x^{2} =16(4x)

256x^{4} - 144x^{2} x^{2} =64x

256x^{4} - 144x^{4}=64x

112x^{4}=64x

We get,

x=0 and x=0.829

Since, 0.829 is not integer number

Only solution of equations is x=0

For the value of y

Replace value x in y=4x=0

Thus, Required ordered pair is (0,0)

You might be interested in
If a basketball has a circumference of 58 inches, how much air can it hold?<br>​
PSYCHO15rus [73]
Volume = pi*r^2
so 58^2*pi= 3364pi = approx 10,562.96 in^2
3 0
3 years ago
Samples of rejuvenated mitochondria are mutated (defective) in 3% of cases. Suppose 15 samples are studied, and they can be cons
stiks02 [169]

Answer:

C) At most one sample is mutated

Step-by-step explanation:

If there are 15 samples, it means that 15 is the total (100%) of samples. Then, if we know that there is a chance that 3% are mutated, then we calculate the 3% of 15:

Mutated= \frac{3. 15}{100} = 0.45

This means that at most one sample is mutated, as this result is not zero (we discard answer A), and 0.45 is not more than half of the samples.

5 0
3 years ago
Find the sum of 5+(-7)=?. Use a number line to verify your answer
Nina [5.8K]

Answer:

-2

Step-by-step explanation:

5+(-7) is the same as saying 5-7, so lets looks at this

6 0
3 years ago
Read 2 more answers
mr. Edward's buys 2 new knobs for each of his kitchen cabinets. the kitchen has 9 cabinets. how many knobs does he buy?
sergij07 [2.7K]
Multiply 2•9= 18
He buys 18 knobs
3 0
3 years ago
Read 2 more answers
Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. U
kogti [31]

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

P(B) = \frac{5}{365} = 0.0137

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that P(A|B) = 0.9

Probability of forecast of rain:

90% of 0.0137(forecast and rains)

10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

3 0
3 years ago
Other questions:
  • What is the factor for x^2-4x-21
    13·2 answers
  • I’ll put the brainliest pleaseee!!!! I NEED HELP!!!
    12·1 answer
  • If y=5x - 2 were changed to y=3/4 x- 2, how would the graph of the new function compare with the first one?
    12·2 answers
  • If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi
    9·1 answer
  • Is the product of x and y rational or irrational?
    12·1 answer
  • Determine any data values that are missing from the table, assuming that the data represent a linear function.
    9·1 answer
  • Solve x^2+32=0<br> Please solve step by step
    13·1 answer
  • What is the equation of the line that passes through (1, 2) and (8,9) in slope-intercept form?
    7·1 answer
  • I need help and fast I was supposed to turn this in last week
    13·1 answer
  • Select the correct numerator 7/9 - ?/27
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!