im supposed to solve this, but im first supposed to convert the bases to be the same and thats what im struggling with
Answers
9514 1404 393
Answer:
1
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
8 = 2×2×2 = 2³
4 = 2×2 = 2²
so the problem can be rewritten as ...
[tex]\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}[/tex]
__
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
______
Alternate solution
You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.
Related Questions
A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response, include all steps and calculations.
B. With respect to , the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm. Find the value of the hypotenuse . Then, use these values to confirm the Pythagorean Identity for this triangle.
Answers
NEED HELP PLEASE !!!!!!
Answers
PLEASE HELP !! 100 POINTS !! (and brainliest)
Find the area for the following figure. Explain or show how you got your answer.
Answers
Answer:
area =no of full square + half square =24+1/2×5=26.5 unit ²
I hate using this app because I feel bad but I need help
Answers
Answer:
same i feel bad but im here too
tbh I also feel bad but I need help as well I’m kinda dum but also kinda smart I don’t really like using this app but it helps me sooo
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Answers
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
Rich has t dollars in his checking account. On June 3, he deposited w, h, and v dollars and wrote a
check for k dollars as a payment to electric Bros Inc. Write an algebraic expression that represents
the amount of money in his account after the transactions.
Answers
Answer:
t + w + h + v - k = M, where M is the total amount in his account.
Step-by-step explanation:
Thank goodness they're not trying to get you to solve this, hahaha. They just want you to show you started with t, added the next 3 letters, then subtracted one.
LMK if you have questions.
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3
Answers
Answer:
7/12 or 58%
Step-by-step explanation:
Answer:
17/100
Step-by-step explanation:
Sasha is feeling a rectangular box with ribbon and wants to know the amount of space in the box which statement is true about the amount of space inside the box
Answers
The available options are:
The space inside the box is the surface area, which is 192 in.2.
The space inside the box is the surface area, which is 144 in.2.
The space inside the box is the volume, which is 192 in.3.
The space inside the box is the volume, which is 144 in.3.
Answer:
The space inside the box is the volume, which is 144 in.3.
Step-by-step explanation:
Give that the rectangular box Sasha is filling has three dimensions of 12inches, 3 inches, and 4 inches for its sizes. Therefore to know the amount of space in the box the correct answer is 12 * 4 * 3 = 144 cubic inches.
Hence, the right answer to this question is "The space inside the box is the volume, which is 144 in.3."
Answer: The answer is D
The space inside the box is the volume, which is 144 in.in.3
Step-by-step explanation:
2.8t+5.7t= answer plsss
Answers
Answer:7.15t
Step-by-step explanation:
You have to add 2.8t plus 5.7t together
5+2 = 7
0.8+0.7 = 1.5
Help me with this pls
Answers
Answer:
C
Step-by-step explanation:
Determine the slope of the line that passes through the points
(4, 4) and (5,0).
Answers
Answer:
B) -1/2
Step-by-step explanation:
Slope is change in y divided by change in x.
So, 6-4/-4-0 = 2/-4 so reduces to -1/2
Answer:
Slope = -4
Step-by-step explanation:
Slope = change in y ÷ Change in x
[tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]
Please help me solve this.
Answers
Answer:
0.565
Step-by-step explanation:
hope it helps
have a great day!!
Find the missing side of this right triangle
Answers
Answer:
4, tell me if wrong
Step-by-step explanation:
c² = b² + a²
now, 5x5 = 25
3 x 3 = 9
25 - 9 = [tex]\sqrt{16\\}[/tex]
4
PLEASEEE I need the answer asap
Answers
Answer:
Angle B = 47.3°
Step-by-step explanation:
We are to find Angle B
b = 6.8cm
C = 70°
c = 8.7cm
We solve using Sine rule
b/sin B = c/ sin C
6.8/sin B = 8.7/sin 70
Cross Multiply
sin B × 8.7 = 6.8 × sin 70
sin B = 6.8 × sin 70/8.7
B = arc sin ( 6.8 × sin 70/8.7)
B = 47.26265°
Approximately to 3 significant figures
= B = 47.3°
The area of a square field of side 13 m is
Answers
Answer:
169 sq m
Step-by-step explanation:
= 13 × 13 = 169 sq m.
PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!
Answers
1) Power of a Product
2) Power Rule (or Power of a Power)
Answer:
-Number 1 is Power of a Power Property, I think
-Number 2 is Power of a Power Property
Gustave measured his pace and determined that for him, s steps make up one mile. One day Gustave walked 6300 steps, which was 3 miles.
Answers
Answer:
2100
Step-by-step explanation:
6300/3
A python snake on display at a pet store is 62 centimeters long. About how many inches long is the snake? Using
complete sentences, explain how you would convert from cm to inches.
Answers
Answer: 62 cm = 24 inch
Step-by-step explanation: one inch is 2.54 cm. you divide 62 cm by
2.54 which is also a conversion factor. You calculate 62 cm/ 2.54 = 24.409 inch
Percents! Please answer!!
Answers
Answer:
39%
Step-by-step explanation:
83-last price
83 last price
100 x ?
100 * last price = 83 . x
x= 39
a) Change 65 cm to mm.
Answers
Answer
650
explanation:
multiply the length value by 10
Hayden will attend a craft show the cost of admission ticket is eight dollars the cost of a raffle ticket for a handmade quilt available only with those admission ticket is five dollars Hayden has $45 what is the greatest number of raffle tickets he can buy
Answers
Answer: 7 tickets
Step-by-step explanation:
First you need to remove the cost of entrance from the $45 that Hayden has:
= 45 - 8
= $37
The $37 is the amount that is left for Hayden to be able to buy tickets for the raffle.
The tickets cost $5 each so the highest number of tickets that can be bought with $37 is:
= 37 / 5
= 7 tickets
Netti works as a waitress in a restaurant. They have numbers for each kind of order. On a busy day, tired Neeti lines up all the orders at the end of her shift. She notices this number and is amused by the lack of variety of the food she served that day. It reads 56786675568568657. Each 5 means one pancake was ordered, each 6 means one egg was ordered, each 7 means a waffle was ordered. Each 8 meant that an egg order was canceled and a pancake was requested. How many sweet breakfast food dishes did she serve on this day?
Answers
Answer: (I don't know if this is right or not)
7 pancakes
3 eggs
3 waffles
Step-by-step explanation:
4 pancakes
5 eggs
8=3
+3 pancakes
-3 eggs
9. Order the following from least to greatest:
10-2
10-30 1012
10-12 1030
10-
100
PLZZZZZZZ HELPPP
Answers
10-2=8
10-30=-20
10-12=-2
10-100=-90
8,-2,-20,-90
10-2, 10-12, 10-30, 10-100
---
hope it helps
The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all three sides of the triangle. HELP TEST!
Answers
Answer:
x = 5
Step-by-step explanation:
using the Pythagorean theorem:
(x-1)² + (x-2)² = x²
x²-2x+1 + x²-4x+4 = x²
reduce:
2x²-6x+5 = x²
subtract x² from each side:
x²-6x+5 = 0
(x-1)(x-5) = 0
x=1 but because shorter leg would be 0, a triangle would be impossible.
x=5
A rectangular room is 12-1/2 feet long and 10-1/3 feet wide. What is the area of the room?
Answers
Answer:
the length of room is 24 feet
Step-by-step explanation:
Let the breadth be x .
Then, Length, l = x + 9
According to the question,
Area of rectangle = length × breadth
Putting the values of length and breadth, we get:
360 = ( x + 9 ) x
360 = x² + 9x
x² + 9x - 360 = 0
x² + 24x - 15x - 360 = 0
x( x + 24) - 15(x + 24) = 0
( x + 24 ) = 0 or ( x - 15 ) = 0
x = - 24 or x = 15 [ Negative number is ignored ]
Now,
Length, l = x + 9 = 15 + 9 = 24 feet
Thus, the length of room is 24 feet .
Ivana's furniture store buys a chair at a wholesale price of $320.00. If the markup rate at Ivana's store store is 40%, what is the total markup in dollars?
Answers
Answer: $128.00
Step-by-step explanation:
From the question, we are given the information that Ivana's furniture store buys a chair at a wholesale price of $320.00 and that the markup rate at Ivana's store store is 40%.
The total markup will then be:
= Markup rate × Price
= 40% × $320
= 0.4 × $320
= $128.00
2. Scientists measure a bacteria population and find that it is 20,000. Four days
later, they find that the population has doubled. Which function f could describe
the bacteria population d days after the scientists first measured it, assuming it
grows exponentially?
Answers
Answer:
P(t) = 20,000 * e^0.173287t
Step-by-step explanation:
P(t) = Po * e^k*t
Po = 20,000
t = 4
P(t) = 40,000
40,000 = 20,000 * e^4k
2 = e^4k
ln 2 = ln e^4k
ln 2 = 4k * ln e
ln 2 = 4k
0.173287 = k
You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)
Answers
Answer:
7x
Step-by-step explanation:
To purchase 7 tickets at the same rate ;
Mathematically, Total Cost of an item is :
Cost = unit price * quantity
Here,
quantity = 7 tickets
Since price per ticket(rate) is the same ; then we can take rate as x
Hence, the cost of the 7 tickets is :
Quantity * rate
7 * x = 7x
The line x − y = 2 is on a coordinate plane and contains EF, which is one
side of square EFGH. What is the slope of the line that contains FG?
Answers
Answer:
The slope of the line that contains FG is -1
Step-by-step explanation:
Given
[tex]x -y= 2[/tex] --- equation of EF
Required
Determine the equation of FG
First, we calculate the slope of EF
[tex]x -y= 2[/tex]
Make y the subject
[tex]y = x - 2[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 1[/tex]
In square EFGH, EF and FG are perpendicular.
So, the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Where
[tex]m_1 = m = 1[/tex] --- slope of EF
The equation becomes:
[tex]m_2 = -\frac{1}{1}[/tex]
[tex]m_2 =-1[/tex]
The graph of y = |x-6| is in the standard (x,y)
coordinate plane. Which of the following transforma-
tions, when applied to the graph of y = |x|, results in
the graph of y = |x-6| ?
F. Translation to the right 6 coordinate units
G. Translation to the left 6 coordinate units
H. Translation up 6 coordinate units
J. Translation down 6 coordinate units
K. Reflection across the line r= 6
Answers
9514 1404 393
Answer:
F. Translation to the right 6 coordinate units
Step-by-step explanation:
Replacing the function argument x with x-6 causes the graph to be translated right 6 units.
