Your friend simplifies the expression. Is your friend correct?
( i didnt mean to click yes )
Answers
Reason:
The friend should have multiplied the exponents.
This is what the steps should look like:
[tex](r^6)^4 = r^{6*4}\\\mbox{ \ \ \ \ \ \ } =r^{24}[/tex]
The reason for the multiplication is because we have four copies of [tex]r^4[/tex] added together. Repeated addition can be shortened to multiplication.
In other words,
[tex](r^6)^4 = (r^6)*(r^6)*(r^6)*(r^6) = r^{6+6+6+6} = r^{6*4} = r^{24}[/tex]
Related Questions
big test, 70% of my grade, PLS HELP.
will give brainly to first CORRECT answer :)
Answers
Answer:
Lines J and K are parallel :)
Step-by-step explanation:
Parallel: (of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.
It would be Lines J and K are parallel because they never cross and the other statements are incorrect :)
Have an amazing day!!
Please rate and mark brainliest!!
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answers
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
Help please give answer please
Answers
The mean is 8 gerbils and the MAD is 4.29.
What is the mean?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8
What is the MAD?
MAD = ∑ l x - m(x) l
| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29
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A can of soda can be modeled as a right cylinder. Suav measures its height as 11.6 cm and its radius as 2.7 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answers
Answer:
16.4cm3
Step-by-step explanation:
hope this helps
Volume
πr²hπ(2.7)²(11.6)7.29(11.6)π84.564π265.5cm³When Famke charges her phone, it gains 2 percentage points each minute. When Famke uses her phone, it loses 5 percentage points each minute. Once, Famke used her phone for some time, and then charged it for twice the amount of time she used it. In the end, her phone lost 10 percentage points. How long did Famke use her phone and how long did she charge it?
Answers
Loses 5 percent per minute = -0.05m
Charged two times the usage
Loss of 10
-0.10 = 2(0.02)m - 0.05m
-0.10 = 0.04m- 0.05m
-0.10 = -0.01m
m = 10 minutes
She used her phone 10 minutes and charged it 20 minutes
Check:
20 min x 0.02 = + 40 percent
10 min x -0.05 = - 50 percent
40 - 50 = -10 percent
Help please it is confusing
Answers
Answer:
(c) Yes, +4 more
Step-by-step explanation:
The problem statement is telling you the available quantity in pounds. The answer choices are expressing the difference in terms of packets. A conversion of units of measure is needed.
__
availablePatel has 8 pounds of seed, and he puts it into 1/2-pound packets. Each pound will fill two (2) half-pound packets, so he has enough for ...
(8 lb) × (2 packets/lb) = 16 packets
neededPatel has 12 people planting seed, so needs 12 of the 16 packets in order to give each team member one packet.
He has enough seed for this need, and enough for 16 -12 = 4 more packets than he needs.
find the area of the figure
Answers
12.12=144
and for the rectangle we have:
4.11=44
1. What effect does replacing x with x -4 have on the graph for the function f(x)?
f(x)= |x|-5
A vertical shift of 4 up.
A horizontal shift of 4 to the right.
A vertical shift of 5 down.
A horizontal shift of 4 to the left.
Question 4
Answers
Answer: Choice B
A horizontal shift of 4 to the right.
========================================================
Reason:
Replacing x with x-4 basically means we're decreasing each input by 4 units.
What this does is move the xy axis 4 units to the left. If we held the function curve fixed in place as the xy axis moved like this, then it would give the illusion the function is moving 4 units to the right.
Visual confirmation is shown below.
Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4 more seats than the row before it, and the 1st row can only have 10 seats. help andrea plan the rest of the seating by solving for how many seats are in row 20. then explain to andrea how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.
Answers
Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.
What is the Arithmetic Sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
The arithmetic sequence formula is;
aₙ = a + (n − 1)d,
where;
a is the first term
n is the position of the term in the sequence
d is the common difference
aₙ is the nth term of the sequence.
Our sequence is 10, 14, 18, 22 up to row 20.
Using the sequence formula;
[tex]a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.[/tex]
Thus, the number of seats in row 20 was 86 seats.
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Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score. Which is the correct way to represent that “the opposite of Justine’s score was equal to Meagan’s score”? –7 = 7 –(–7) = –7 –(7) = –7 –(–7) = 7
Answers
Answer:
the opposite of the Justine score (-7) = Meghan score (7)
-(-7)=7
Step-by-step explanation:
Type the correct answer in each box. a race car is driven by a professional driver at 99 . what is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes express the answers to the correct number of significant figures. the speed is equivalent to , or .
Answers
The speed of the car in kilometres per minutes is 2.6565 km/minutes
How to find speed in km/minutes?The car speed is 99 miles per hours.
Therefore,
1 miles = 1.61 km
99 miles = ?
cross multiply
distance = 159.39 km
Therefore,
1 hour = 60 minutes
Hence,
speed = 159.39 / 60
speed = 2.6565
speed = 2.6565 km/minutes
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Solve tTwo researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
he linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
Answers
Answer:
x2
Step-by-step explanation:
bcs yeah
Simplify please help me with this question
Answers
Answer:
a^4
Explanation:a^2×a^3= a^5(a^2+3)
a^5/a= a^4(a^5-1)
3×4×100±67≤65║556∪120D⊥p=13⇆87∞44f1······
HELP PLEASEE WHAT IS THIS????
Answers
Answer: That is most likely an unsolvable question.
Step-by-step explanation: PEMDAS
3×4×100±67≤65 Doesn’t work.
3x4= 12 ~ 12x100=1200 ~ 1200+67=1267 ~ 1267<65
556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question
I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.
Which of the following rational functions is graphed below?
Answers
The solutions of the cubic function f(x) are -4, 5/3, and 1. identify a factor of this function.
a. 3x+5
b. 5x+3
c. x+1
d. x+4
Answers
The factor of the function from the given option is d. x+4
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The solutions of the cubic function f(x) are -4, 5/3, and 1. WE need to identify a factor of this function.
So, the solution are
x = -4
Factor;
x + 4
now,
x = 5/3
Factor;
x - 5/3 = 0
3x - 5 = 0
also,
x = 1
Factor;
x - 1= 0
Therefore, the factor of the function from the given option is d. x+4
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Multiplying by which number is equivalent to finding 2%?
Answers
A town on the coast is building a lighthouse that is 27 meters tall. Determine the area of the circular base of the lighthouse if the radius of the base is 35 meters. Use 22/7 for pi. WILL GIVE BRAINLIEST
A. 220 m2
B, 3,830 m2
C.103,950 m2
D.15,400 m2
Answers
Answer:
B. 3850 m²Step-by-step explanation:
Use the equation of area of circle:
A = πr²Substitute π with 22/7 and r with 35 m as per question.
Find the area:A = 35²*(22/7) = 3850 m²Correct choice is B (with slight difference)
Answer:
B. 3850 m²
Step-by-step explanation:
The area of the base of the lighthouse can be modeled as a circle.
Area of a circle
[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 35 mπ = 22/7Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]
[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]
[tex]\implies \sf A=\dfrac{26950}{7}[/tex]
[tex]\implies \sf A=3850\:\:m^2[/tex]
Therefore, the area of the circular base of the lighthouse is 3850 m²
An angle turns through 2/8 of the circle.what is the measure of this angle
Answers
Answer:
90°
Step-by-step explanation:
note that [tex]\frac{2}{8}[/tex] simplifies to [tex]\frac{1}{4}[/tex]
There are 360° in one turn of the circle , then
[tex]\frac{1}{4}[/tex] × 360° = 360° ÷ 4 = 90°
Calculate the average speed of the object between 1 and 3 seconds.
Answers
1. so plug in whatever distance you have
2. get the difference between 3 and 1 second = which is 2 seconds
3. plug in 2 seconds for time
28. sylvia researched changes in the deer population in her state's parks during her lifetime
and found that population has been halved every 8 years.
she wrote the equation 4800(8) { = 600 and plans to solve fort to determine in how
many years it will take for the current population of 4800 deer to reduce to 600.
Answers
Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change, as a decimal.In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
The population will be of 600 when A(t) = 600, hence:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3[/tex]
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42
Answers
Answer:
[tex]y=-\frac{5}{6} + 7[/tex]
Step-by-step explanation:
Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.
1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.
[tex]6y=-5x+42[/tex]
2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:
[tex]y=-\frac{5}{6} + 7[/tex]
Brainliest if you give correct answer + explanation
Answers
Answer:
x = 8
Step-by-step explanation:
Perimeter :
2(Length + Width) = 44 2x + 3 + x - 5 = 22 3x - 2 = 22 3x = 24 x = 8Perimeter is adding all 4 sides together
2x + 3 + 2x +3 + x - 5 + x - 5 = 44
Combine like terms
6x - 4 = 44
6x = 48
Divide both sides by 6 to isolate x
X = 8
Noah receives a 5$ discount each month on his cell phone bill because he signed up for an auto pay from his bank account over the last 8 months Noah has paid a total of 280$ for his cell phone bill. what would Noah be charged for his cell phone bill each month if he stopped using auto pay
Answers
Using proportions, it is found that Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
He paid a total of $280 during 8 months, hence the monthly amount he paid is given by:
M = 280/8 = $35.
Without the discount, he would have paid $5 more, hence Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
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Tammy said the product of 5/7 and 1 1/4 is 1 3/4.
Answers
Answer:
Tammy is incorrect
Step-by-step explanation:
The product of 5/7 and 1 1/4 is,
(5/7) x (1 1/4)
turn the mixed number to a whole number.
1 1/4= 4/4 + 1/4 = 5/4
(5/7) x (5/4) = 25/28 which is approximately 0.8929
Tammy believes it equals 1 3/4
1 3/4 = 4/4 + 3/4 = 7/4 which is 1.75
0.8929 does not equal 1.75
Please I need help I’m being timed.please
Answers
Answer:
C, D, and E
Step-by-step explanation:
85-20=65
t>65
This means all the numbers greater than 65.
Do not include 65 because it is not a greater than or equal to symbol.
Hope this helps!
If not, I am sorry.
What is true about the completely simplified sum of the polynomials 3x2y²-2xy and -3x²y² + 3xy?
The picture are the answer choices and i only have 20 mins left so please help!
Answers
The sum is a binomial with a degree of 6 after adding like terms, and the sum is -2xy⁵ + 3x⁴y option fourth is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two polynomials:
3x²y² - 2xy⁵ and -3x²y² + 3x⁴y
Adding two polynomials:
= (3x²y² -2xy⁵) + (-3x²y² + 3x⁴y)
= -2xy⁵ + 3x⁴y
The expression represents a binomial with degree 6(1+5) because it has two terms.
Thus, the sum is a binomial with a degree of 6 after adding like terms and the sum is -2xy⁵ + 3x⁴y option fourth is correct.
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Which of the following best describes AD?
A. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
17
D
17
C
Answers
Answer:
C. median
Step-by-step explanation:
AD is median because it's dividing BC in two equal parts.
14.35: a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?
Answers
Answer:
One team must play 8 games 3 times equals 24 games
One team must play 24 games
But each game uses 2 teams so there are 12 games in all
Or 9 * 24 / 2 = 108 games
Check: If there were 3 teams then one team must play
2 games 3 times for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine: 1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9
T = number of teams in league
(T - 1) 1 team plays each other once
(T - 1) * T each team has played 1 game for entire league
(T - 1) * T / 2 total games to be played for 1 game each
G * (T - 1) * T / 2 where G is number of games
PLEASE HURRY! What is the value of x in this triangle? The triangle is labeled 5, 20 & x
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
x =
°
Answers
Answer:
[tex]x = 14.04[/tex]°
Step-by-step explanation:
[tex]\text{tan(x) = Opposite / Adjacent}\\tan(x) = 5/20\\tan(x) = 0.25\\x = 14.04[/tex]