Answers
Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
xy = 32 , tat is
[tex]2^{p}[/tex] × [tex]2^{q}[/tex] = [tex]2^{5}[/tex]
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
[tex]2^{p}[/tex] × [tex](2^{q}) ^{2}[/tex] = 16
[tex]2^{p}[/tex] × [tex]2^{2q}[/tex] = [tex]2^{4}[/tex] , then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
Related Questions
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days?
Day Time (minutes)
1 45
2 109
3 51
4 121
5 38
Answers
Answer:98.9276
Step-by-step explanation:
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days? DayTime (minutes)11 4545 22 109109 33 5151 44 121121 55 3838 Jordan rode his bike total hours in the five days.
ASAP and God bless you
Answers
Answer: $384
Step-by-step explanation:
Can anyone help?tyyy☆
Answers
Answer:
what is the question tho?
Step-by-step explanation:
Kevin bought 5 tickets to a concert for 125$
Answers
Urgent!!
Explain how you got the answer in details
Answers
Answer:
above is the solution to the question
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answers
Answer:
452.16 cm^2
Step-by-step explanation:
To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]12^2
A=[tex]\pi[/tex]144
A=144[tex]\pi[/tex]
We replace pi with 3.14
A=144*3.14
A=452.16
Pls help!
Identify the range of the function shown in the graph.
Thanks
Answers
Answer:
A
Step-by-step explanation:
Range is all y values of a graph and seeing that it has no arrows means its not infinite so its not B. The graph starts at 0 and ends at 5 so the smallest value is 0 and the largest is 5 therefore making the answer A.
my new laptop was $824.99 plus the 10 % tax. what will it cost me
Answers
What is 8,980,000 in scientific notation
Answers
Answer: 8.98 × 10⁶
...................................
Which number is the largest?
3/5 2/3 0.67 0.59
Answers
Answer: 0.67
Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.
0.67 is the largest number.
What is Number system?A number system is defined as a system of writing to express numbers.
we need to find the largest number among 3/5, 2/3, 0.67 and 0.59
The given numbers are in the form of fractions and decimal.
Let us convert the fraction to the decimal numbers
3/5=0.6
2/3=0.666
0.67
0.59
In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.
Hence, 0.67 is the largest number.
To learn more on Number system click:
https://brainly.com/question/22046046
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Question 4
Marcus receives $800 from his grandmother,
He decides to spend $150 and to divide the remaining S650 in the ratio
savings : holiday 9:4.
Calculate the amount of his savings.
Answers
Answer:
4.3722893i4u37738jdjd8ddjdijdej
What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
Answers
Answer:
3
Step-by-step explanation:
hope it is right and is helpful
PLEASE HELP ASAP!!!
Complete the data table for the function
(Please fill out all FOUR boxes... tyy)
Answers
Answer:
y - 2, 3, 4, 5
Hope this helps :)
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?
ok right subject this time PLS HELP AND FULL EXPLANATION
Answers
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.
Have a great rest of your day
#TheWizzer
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
credits to NovaWiz
Step-by-step explanation:
You have $45 in your piggy bank each week you put in another $12 from your allowance write an equation that shows the number of weeks W it will take to have $105 in your piggy bank
Answers
Solving a linear equation we will see that after5 weeks you will have $105 on your piggy bank.
How many weeks until you have $105 in your piggy bank?We know that it starts ar $45, and then you add $12 each week. Then the amount of money after W weeks is modeled by the linear equation:
y = 12*W + 45
You will have $105 when the value of y is 105, replacing that we get the equation below:
105 = 12W + 45
105 - 45 = 12W
60 = 12W
60/12 = W
5 = W
You will have $105 on your piggy bankafter 5 weeks.
Learn more about linear equations at:
https://brainly.com/question/1884491
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what are two consecutive whole number that lie between[tex]\sqrt91[/tex]
Answers
Answer:
√91 lies between 9 and 10.
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution to the proportion?
3y-8/12 = y/5
Answers
15y-40=12y
3y=40
y=40/3
Lonnie is considering doing some long term investing with money that she inherited. She would like to have $50,000 at the end of 30 years. Approximately how much money would Lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal? a. $8,706 b. $9,000 c. $27,778 d. $40,690
Answers
Answer:
$8,706
Step-by-step explanation:
Lionnel is considering doing some long term investments with the money she inherited
She would like to have $50,000 at the end of 30 years
The interest is 6%
Therefore the amount that Lionnel would need to put into the account can be calculated as follows
A= P(1+r)^t
50,000 = P(1+6/100)^30
50,000 = P (1+0.06)^30
50,000 = P(1.06)^30
50,000= 5.7434P
P = 50,000/5.7434
P= $8,706
Hence Lionnel will need to put $8,706 into an account earning 6% interest
Answer:
It's A-$8,706 :))
Step-by-step explanation:
Pls help me on this problem I’m confused
Answers
Answer:
1 pound = 16 ounces
3 × 16 = 48 ounces
48 + 12 = 60
60 ÷ 6 ounces a week = 10 weeks
I need help with 8,9,10 please Instructions: factor these trinomials BRAINLY!!!!!!!!!! 20 points!!!!!!!!
Answers
Step-by-step explanation:
8: (y-6) (y+8)
steps: m + n = 2 and m×n = -48 so m is 8 and n is -6
9: (m-8)(m+2)
same steps for the first
10: (x-7)(x+2)
comment if you need any further help.
For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?
Please explain the process.
Answers
Answer:
50p + 30n
Step-by-step explanation:
Cost of each premium ticket = $80.
Cost of each regular ticket = $30
Total tickets sold = n
We are told that p tickets were sold. Thus;
Total tickets sold is; p + (n - p)
Thus total amount generated is;
T = 80p + 30(n - p)
T = 50p + 30n
plsssssssssssssss
help
really urgent
thank you
reward: follow, heart and brainliest
Answers
Which of the following is NOT a linear function?
Answers
Answer:
y=(x-5)^2
Step-by-step explanation:
Y= (x-5)^2
Y= 1/3x +8
Y - 4 = 2(x-1)
9x - 2y = -18
This equation is exponential so it won't have a straight slope.
A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answers
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 12 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = 3x - 5 ← equation of parallel line
Given a graph, with no equation, how can you graph the inverse?
Answers
There are two different ways you can do this, I have provided both below.
Answer: You can switch all the x and y coordinate values.
For example, if you have (2, 1) you would graph (1, 2).
Another example, if you have (677, 83) you would graph (83, 677)
Answer: Flip the graph over the line of y = x
I have attached an example from lumenlearning.com.
During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided
HELP PLEASE!!
Answers
The equation can have no solution or as many solutions as possible
Terrence's conclusion that the equation has infinitely many solutions is false
How to determine the number of solutions?The equation is given as:
101 - 6+ 2 = 4(3x - 1) - 2
Open the bracket
101 - 6+ 2 = 12x - 4 - 2
Collect the like terms
12x = 101 - 6+ 2 + 4 + 2
Evaluate the like terms
12x = 103
Divide both sides by 12
x =103/12
The above shows that the equation has one solution
Hence, Terrence's conclusion that the equation has infinitely many solutions is false
Read more about equation solutions at:
https://brainly.com/question/7784687
Write in standard form
820000000
Answers
Answer:
820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School
Step-by-step explanation:
n the 1920s, sled dog teams delivered mail to remote cities like Nome in the winter. The lowest temperature most sled dogs can run in is -71ºF. That’s 21º warmer than the coldest it gets in Alaska in winter. What’s the winter low temperature in Alaska?
Answers
Answer:
-50
Step-by-step explanation:
-71 + 21
-50
The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.
Have an amazing day!
PLEASE RATE!!!
Whats the remainder when 14952 divide by 41
Answers
Can someone help me? I don’t know how to convert equivalent fractions using LCD.
Like 7/12 and 5/8 if the LCD is 24...