Answers
Answer:
see explanation
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}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
(b)
[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]
(c)
[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]
(d)
[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²
Related Questions
If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.
Answers
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 8 to 5. if there were 7332 total votes, how many no were there?
Answers
Answer:
2820 no votes
Step-by-step explanation:
The fraction of votes that were 'no' is ...
no/total = (5)/(8+5) = 5/13
The number of votes that were 'no' is ...
(5/13)(7332) = 2820 . . . no votes
-4x + 60 < 72 or 14x + < -31
Answers
x=31/14
Step-by-step explanation:
I did the second one btw
If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55
Answers
}
Answer:B
Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down
Answer:
ans is i think a) $5.50
Step-by-step explanation:
'cuz if 5 boxes cost $27.50
so it will be
[tex]27.50 \div 5 \\ = 5.50[/tex]
Find the slope of the line that passes through (10, 9) and (6, 18).
Answers
Answer:
M = -2 1/4
Step-by-step explanation:
You can use the formula y2 - y1 / x2 - x1 to get your answer.
y2 is 18 and y1 is 9. x2 is 6 and x1 is 10 so plugging that into the formula above you will get 18 - 9 / 6 - 10.
18 - 9 is 9 and 6 - 10 is -4
9/-4 = M (M is short for slope)
M = -2 1/4
Hope this worked for you.
what is 7/8 as a decimal rounded to the nearest thousandth
Answers
Answer:
0.875
Step-by-step explanation:
In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.
Answers
Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)
The confidence interval is defined thus :
150 ± 0. 39Lower boundary = 150 - 0.39 = 149.61
Upper boundary = 150 + 0.39 = 150.39
Therefore, the confidence interval for the study would be (149.61 ; 150.39)
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Youssef paid AED 8 for 12 eggs.
Determine the cost of 3 eggs.
Answers
To solve this problem, you must first know how much 1 egg costs, for this we have to divide:
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)[/tex]
Now we know an egg costs $1.5, so:[tex]\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs[/tex]
Okay?!Answer:
AED 2 for 3 eggs
Step-by-step explanation:
Price (p) is proportional to the number of eggs:
p/3 = 8/12
p = 3(8/12) = 8(3/12) = 8/4 = 2
The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.
help me with this please
Answers
Answer:
what do you need help with
all things algebra unit 5 homework 2
Answers
that’s the answe
-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3
Answers
Answer:
[tex]\frac{-3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]
=> [tex]\frac{-15}{80}[/tex]
=> [tex]\frac{-3}{16}[/tex]
Hoped this helped.
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
Here's a graph that shows a system of equations for this scenario where x is the number of books Aaden borrows and y is the total cost of the subscription.
A graph with two lines and a point. Line A is labeled y equals 96. Line B is labeled y equals 3 times x. Point S is below line B and above line A.
What does point SSS represent in this context?
Choose 1 answer:
(Choice A)
A
A number of books and their cost using the subscription that charges per book
(Choice B)
B
A number of books and their cost using the subscription with the annual fee
(Choice C)
C
A number of books and their cost where both subscriptions cost the same
(Choice D)
D
A number of books and their cost that is not possible with either subscription
I sent a screen shot of the graph
Answers
Answer:
A
Step-by-step explanation:
A number of books and their cost where the subscription with the annual fee costs less. hope it helps and take care ✌
Point S represents the number of books and their cost using the subscription that charges per book
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Based on the given graph, point S represents the number of books and their cost using the subscription that charges per book (Option A).
This is because point S is located below line B, which represents the total cost of the subscription with a variable cost per book, and above line A, which represents the total cost of the subscription with a fixed annual fee.
Therefore,
Point S represents a combination of a certain number of books borrowed and the corresponding total cost of the subscription using the variable cost per book option.
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16. A scuba diver started at sea level and dove 100 feet. The
diver then rose 25 feet. Write and evaluate an expression that
shows the diver's current elevation relative to sea level.
Math
Answers
Answer:
His realation to sea level would be -75 since he would be below the ground/ sea level
Step-by-step explanation:
Pls brainliest
Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answers
Answer:
58 divided by 4 = 14. 5 mph
72.5 Divided by 4 = 14.5 mph
87 divided by 6 = 14.5 mph
k = 14.5 mph
Y= Kx = 14.5X
answer is 14.5 and 14.5X
Step-by-step explanation:
Is 500 x 30 a good estimate for the number of tickets sold at the number of tickets sold at the theater in one month
Answers
Answer:
It depends if business is steady. If they make about 500 a day that is a fair estimate. Make sure that the month you are talking about has 30 days.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Answers
Step-by-step explanation:
Its a
A rope 64 m long is cut into 3 pieces. The second piece is 3 times as long as
the first piece. The third piece is 4 times as long as the second piece. Find
the length of each piece of rope.
Answers
Answer:
rope 1=4m ,rope2=12m ,rope3=48m
Step-by-step explanation:
let the first number be y .second be 3y.third be 4(3y).y+3y+4y=64
after adding use substitution.
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.
Answers
Answer: Number of weeks
Step-by-step explanation:
Just did it on Ed
What value would you need to multiply the top equation by in order to eliminate the y variable in the following system of equations?
Answers
Answer:
-3
Step-by-step explanation:
-3 would eliminate the y so you would solve for x.
Leave a comment if this doesn't make sense ;)
Solve for Y please help me
Answers
Answer:
y = j - rx/c
Step-by-step explanation:
2.5x + 6 = 0.5x + 46
I’ll give brain whoever solves it
PLEASE DO IT STEP BY STEP
Answers
Answer:
x=20
Step-by-step explanation:
2.5x+6=0.5x+46
subtract 0.5x from both sides
2x+6=46
subtract 6 from both sides
2x=40
divide both sides by 2
x=20
What percent of 80 is 112? Please hurry!
Answers
Answer:
140
Step-by-step explanation:
Here you go. Hope it helps you
plz help!
1. (0, y) , (2, 7); m = 1/2
y = _____
2. (4, 2) , (5, y) m = 4
y = _____
Answers
Answer:
Step-by-step explanation:
y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).
(0, y) , (2, 7); m = 1/2
We can start with y = (1/2)x + b
To find b, use one of the two given points. I'll use (2,7), since (0,y) isn't helpful.
y = (1/2)x + b
7 = (1/2)*2 + b
7 = 1 + b
b = 6
The equation is y = (1/2)x + 6.
Now find (0,y) by using x = 0:
y = 6
The second point is (0,6)
============
2. (4, 2) , (5, y) m = 4
y = mx + b
y = 4x + b
Use (4,2) and solve for b:
2 = 4*4 + b
b = -14
The equation is y = 4x - 14
Now find (5,y):
y = 4x - 14
y = 4*5 - 14
y = 20 - 14
y = 6
The second point is (5,6)
Se attached graph.
--
PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F
Answers
anyone know this??? please help, help!!! thanks!
Answers
Answer:
c. -19
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given a polynomial in standard form
The leading coefficient is the coefficient of the variable with the largest exponent.
The term with the largest exponent of the variable is
[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]
Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A
i need help what is 7h+1−h+4?
Answers
Answer:
6h+5
Step-by-step explanation:
7h-h=6h
1+4=5
Hope this helps :)
Answer:
6h + 5 is the correct answer
Step-by-step explanation:
7h + 1 - h + 4
7h + 1 + 4 - h
7h + 5 - h
6h + 5
hope this helped!
mark me brainliest :D
0.009 ÷ 0.08 please help me I forgot how to divide decimals
Answers
Answer: 0.1125
Step-by-step explanation:
To divide decimals, you move the decimal (.) to the end.
In this case of 0.009 /0.08,
you move the period in 0.08 to the end so it become 8.
And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9
Then you divide.
Hopefully, that makes sense.
4 divided by 2.48
Use long division
Answers
Answer:
Step-by-step explanation:
The quotient is 0.62 and the remainder is 0.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, 2.48 divided by 4.
Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.
Here,
4|2.48|0.62
24
24
_____
08
08
_____
0
So, quotient is 0.62 and remainder is 0.
Therefore, the quotient is 0.62 and the remainder is 0.
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The answer is right, but I am not 100 percent sure.
Answers
Step-by-step explanation:
a bc it should be good anser
Solve for r.
4r+10>6
71 points
Help Plslsspsl
Answers
Answer:
r > -1
Step-by-step explanation:
4r + 10 > 6
4r + 4 > 0
4 > -4r
-4 < 4r
-1 < r
r > -1
Answer:
r > - 1 or r ∈ (- 1, + ∞)Step-by-step explanation:
4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)