Answers
Given:
The equation is:
[tex]3^x\times 9=3^{2n-1}[/tex]
To find:
The value of n in terms of x.
Solution:
We have,
[tex]3^x\times 9=3^{2n-1}[/tex]
It can be written as
[tex]3^x\times 3^2=3^{2n-1}[/tex]
[tex]3^{x+2}=3^{2n-1}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
On comparing the exponents, we get
[tex]x+2=2n-1[/tex]
Add 1 on both sides.
[tex]x+2+1=2n-1+1[/tex]
[tex]x+3=2n[/tex]
Divide both sides by 2.
[tex]\dfrac{x+3}{2}=n[/tex]
Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].
Related Questions
Do whatever is easiest for you, thanks !!!!
Answers
Answer:
there is going to be a girl that says she has answers in a pdf don't go into it
it will gib=ve you a virus
Step-by-step explanation:
Type the missing number in this sequence: 1, 2, 4, 8,
Answers
Answer:
16
Explanation:
what comes next is 16
for the function: y=2^x
The cost of renting a bike at Centre Island in Toronto is represented by the equation C = 2n + 10, where C is the cost of renting a bike and n is the number of hours of bike rental. [A4]
a) How long did you rent the bike for if the cost is $30? ✓✓
b) Rearrange C = 2n + 10 to isolate n. ✓✓
Answers
Answer:
A) 10
B) (C+10)/2 = n
Step-by-step explanation:
A) We know that the total cost is represented by the variable C. So, basically the problem is saying that the variable C is equal to 30. If we plug that into the equation, we get 30 = 2n + 10. Solving this, we get n = 10.
B) Isolating a variable means to only have the specified variable on one side and have all other integers and variable on the other side. So, the final answer would be (C+10)/2 = n.
C- cost
n- number of hrs
C=30$
n=?
2n+10=30
2n=30-10
2n=20
n=20/2
n=10 hrs
You rented the bike for 10 hrs.
Rafael was asked to construct a square inscribed in a circle. He drew a circle and a diameter of the circle. Describe how to complete his cinstruction. Then, complete the construction.
Answers
Answer:
The diameter of the circle must be equal to the diagonal of the square.
Step-by-step explanation:
In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.
a) Draw a circle with center O
b) Draw the diameter of the circle with end points A and B
c) Draw perpendicular bisector of diameter AB intersecting the circle at point C and D
d) Now connect point A, B, C and D
What are the solutions of this quadratic equation? -3x2 + 1 = 3x - 2
Answers
The answer is B.............,..,,.....
The solutions of the quadratic equation[tex]-3x^2 + 1 = 3x - 2[/tex] are -1/3 and 1.
To solve this equation, we can use the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case, the coefficients are a = -3, b = 3, and c = -2. Substituting these values into the quadratic formula, we get:
[tex]x = \dfrac{(-3 \pm \sqrt{3^2 - 4 \cdot -3 \cdot -2})}{2 \cdot -3}[/tex]
[tex]x = \dfrac{(-3 \pm \sqrt{27 + 24})}{-6}[/tex]
[tex]x &= \dfrac{(-3 \pm \sqrt{51})}{-6} \\x&= \dfrac{(-3 \pm 3\sqrt{7})}{-6}[/tex]
[tex]x = -1/3 or 1[/tex]
Therefore, the solutions of the quadratic equation are -1/3 and 1.
Here is a breakdown of the steps involved in solving for the solutions of the quadratic equation:
We are given the quadratic equation [tex]-3x^2 + 1 = 3x - 2[/tex]
We can identify the coefficients a, b, and c.
We can substitute these values into the quadratic formula.
We can simplify the expression in the quadratic formula.
We can solve for x.
The solutions are -1/3 and 1.
To know more about quadratic equation:
https://brainly.com/question/30098550
#SPJ2
I NEED HELP ASP. IT IS SO HARD
Answers
Answer:
b
Step-by-step explanation:
Energy is the capacity of matter to do work and is often measured in
Joules or Calories. If 4.18 Joules is equivalent to one calorie, determine
the number of Joules of energy provided by a 100 calorie snack pack. *
Please show all work thank you
Answers
On a 24 hour digital clock displaying hours, minutes and seconds, how
many times in each 24-hour period do all six digits change
simultaneously?
Answers
Answer:
23 times. Last second of every hour.
On 24 hours, a digital clock displaying hours, minutes, and seconds all six digits change 23 times simultaneously.
Change of digits:The digits representing the seconds on the clock change for every second.
The minute digits change for each minute that is for every 60 seconds.
Similarly, the digits representing the hours on the clock change every 60 minutes.
This means that for all the six digits to change simultaneously, the last second must be such that it completes a minute, and the last minute should be such that it completes an hour.
This means that at the end of every hour, all the six digits change.
Which will happen 23 times for a 24 hours clock.
Learn more about digital clock:
https://brainly.com/question/12073969?referrer=searchResults
Jenny earns a 77 on her most recent test. Jenny's score is no less than 5 points greater than 4/5 of Terrance's score. If t represents Terrance's score, which inequality represents the situation?
Answers
Answer:
Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total, brutal , logical , mental hospital with the coordination of graduation projection with the injection of institution with moisturizing body lotion with potion and option, I can say today monday Tuesday Wednesday Thursday friday Saturday and sunday that this photo is an video .Base on the findings of the sorroundings matching with toppings and feelings, i realize traumatize energize volcanize the total,
Robert got his hair cut for $21. He gave his barber a 15% tip. What was the
TOTAL Robert paid? *
Answers
Answer:
24.15
Step-by-step explanation:
I think
I WILL GIVE BRAINLEST!!! 20 POINTS!!!
If tomatoes cost 5.30 per pound and i have 9.7 pounds how much would i pay?
Answers
Which transformations map the strip pattern onto itself?
Ь Ь Ь Ь Ь
Р Р Р Р Р
A. a horizontal translation only
B. a horizontal translation and a glide reflection
C. a reflection across a vertical line
D. a horizontal translation and a 180° rotation
Answers
Answer:
C
Step-by-step explanation:
The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong
C is right becuase we can reflect the b across a vertical line to get to Pa piece of wire 17m long stretched from the top a flagpole to point p on the ground if p is8m from the pole how tall is the pole
Answers
Answer:
Step-by-step explanation:
By the Pythagorean Theorem
17^2=8^2+h^2
h^2=17^2-8^2
h^2=289-64
h^2=225
h=15 meters
QUICK HELP!! If two linear equations have one solution, then the...
A Slopes are the same but the y-intercepts are different
B Slopes are different
C Slopes are the same and the y-intercepts are the same
Answers
Answer:
A
Step-by-step explanation:
Point E (-2, -5) is dilated from the origin by scale factor of r = 3/2. What are the coordinates of point E.
Answers
Answer:
The new coordinates of E are (-3,-15/2).
Step-by-step explanation:
Here we just need to multiply each element of this point by r.
So we have:
[tex]E_{new}(-2*(\frac{3}{2}),-5*(\frac{3}{2}))[/tex]
[tex]E_{new}(-3,-\frac{15}{2})[/tex]
Therefore, the new coordinates of E are (-3,-15/2).
I hope it helps you!
1. A model lighthouse has a diameter of 10 inches and a height of 24
inches. If the actual diameter of the lighthouse is 24 feet, find the
actual height.
Answers
Answer:
Step-by-step explanation:
3. What are the intersection points of the line whose equation is y=3x +3 and the
circle whose equation is (x - 2)² + y2 = 25?
Answers
Answer:
(-2 , -3) and (0.6 , 4.8)
Step-by-step explanation:
y=3x +3
(x - 2)² + y² = 25
(x - 2)² + (3x +3)² = 25
x²-4x+4+9x²+18x+9-25=0
10x²+14x-12=0
5x²+7x-6=0
(x+2)(5x-3)=0
x = -2 or x = 3/5 (-0.6)
y = -3 or y = 4 4/5 (4.8)
What is the length of segment TR?
Answers
Answer:
8 units
Step-by-step explanation:
find the value of each variable, please explain.
Answers
Answer:
x=67
y=113
z=50
Step-by-step explanation:
x=180-28-85=67
y=180-67=113
z=17+113=50
80 points
Question 1(Multiple Choice Worth 4 points)
(07.01)
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)
Fraction 3 over 4x = Fraction 1 over 5. x = ___?
3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)
Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?
$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)
Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?
6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Question 6 (Essay Worth 6 points)
(07.02)
Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.
Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.
I already answered 3 and 4
Answers
Answer step-by-step explanation:
solution set is { 3,4 }
4/15
3.65
n=9
5x + 4 < 29
5x < 29 - 4
5x < 25
x < 25/5
x < 5
solution set is { 3,4 }
Simple math
1. 3.42 + 5.76 = 9.18
2. 12.83 - 9.18 = 3.65
3.65 would be the cost of the notebook Jen bought
Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.
If n is the unknown point made by Rebecca then we get
total = 12
Bobbi earned = 6 points
Kate earned = 3 points
Total = 6+3+n =12
So answer is
6+3+n=12
n=9
I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so
Amount earned on Saturday + amount earned Sunday =
11 + x =
Represents the total amount he earned
Part B
Let N be the number of dogs that Kyle walked
Then, Larry walked 2N + 4 dogs
Then you can also do.....
Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.
An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.
In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.
PLEASE HELP ASAP!!
The diameter of each of the three circular lights in a traffic signal is 7 inches. In this activity, you will find the total area of the three lights.
Part A
Each circular light has a diameter of 7 inches. What is the radius of each light?
Answers
Answer:
The radius of the circle is 3.5 inches.
Step-by-step explanation:
The radius is half the diameter:R= 1/2 d
Substitute the value of d (7 inches) in the formula to find r:
r= 1/2 x 7 in
r= 3.5 in
Answer:
3.5 inches should be the answer.
What is the equation in slope intercept form of the line that has a slope of 0.25 and passes through the point (6, - 8)
Answers
Answer:
y = 0.25x - 9.5
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 )
Here m = 0.25 , then
y = 0.25x + c ← is the partial equation
To find c substitute (6, - 8) into the partial equation
- 8 = 1.5 + c ⇒ c = - 8 - 1.5 = - 9.5
y = 0.25x - 9.5 ← equation of line
Answer:
y = 0.25x - 9.5Step-by-step explanation:
The equation in point-slope form:
y = 0.25(x - 6) - 8
y = 0.25x - 1.5 - 8
y = 0.25x - 9.5 ← slope-intercept form
Select all of the points that are on the graph of the function y
- 3x – 4
A
(0, – 4)
B
(7, – 25)
C
( - 5, 11)
D
(3, 13)
E
( -5, – 19)
Answers
Answer:
its A
Step-by-step explanation:
Answer:
I think it is (-5,11)
Step-by-step explanation:
I put it into Desmos and that was one of the points.
I need help please ):
Answers
Answer;
X = 18: AD = 18
Step-by-step explanation:
Here, we want to find the measure of AD
From the given image;
AB = x + 3
AD = x
AC = 24 + 4 = 28
AE = 24
Substituting these values
we have ;
(x + 3)/x = 28/24
24(x + 3) = 28x
24x + 72 = 28x
28x - 24x = 72
4x = 72
x = 72/4
x =18
A golf team's 6 members had the scores below in their most recent tournament:
70,\,72,\,74,\,76,\,80,\,114
PROBLEM A
Calculate the mean score.
mean =
Answers
Answer:
81
Step-by-step explanation:
To get the mean score, we have to add all their scores and divide the result by the number of members in the team.
(70+72+74+76+80+114) ÷ 6 = 486 ÷ 6 = 81
So, the answer is 81.
Find the smallest number by which 1250 must be multiplied to obtain perfect square
Answers
Answer:
2
Step-by-step explanation:
2 x 1250 = 2500
the perfect square for 2500 is 50:
[tex]\sqrt{2500} = 50[/tex]
2+2+2+2+2+2+4+4+2-4=
Answers
Answer:
2+2+2+2+2+2+4+4+2-4=18
Step-by-step explanation:
Good I guess
12 almost 13
female
you don't need either of those
Answer:
18
Step-by-step explanation:
im not answering those lol
I need help please someone who is very smart in math this algebra 2
Answers
What are the coordinate pairs of this??
Answers
Answer:
A is (-4,-3) and B is (6,-5)
Step-by-step explanation:
Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem