The expression 6⁶/6⁴ to a single power is 6²
How to simplify the expression to a single powerfrom the question, we have the following parameters that can be used in our computation:
6⁶/6⁴
Apply the law of indices
So, we have
6⁶/6⁴ = 6⁶⁻⁴
Evaluate the difference in the powers
6⁶/6⁴ = 6²
Hence, the expression to a single power is 6²
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Question
Simplify to a single power of 6:
6⁶/6⁴
suppose you drive an old truck with a 32 gallon gas tank that gets 16 miles/gallon. if you are 75 miles from home and you have a quarter tank of gas, will you run out of gas before you get home?
The answer is no, the truck will not run out of gas before getting home.
To solve the problem, the following terms are needed:
32 gallons = Capacity of the gas tank
16 miles/gallon = The truck's fuel economy
75 miles = The distance from home to the truck
Quarter tank = The remaining fuel level
The capacity of the gas tank is 32 gallons.
Since a quarter of the tank is remaining, the amount of fuel in the tank is \(32/4 = 8 gallons\).
A truck with a fuel efficiency of 16 miles per gallon is capable of driving for 8 gallons x 16 miles per gallon \(= < < 8*16\)
\(=128 > > 128\) miles on the remaining fuel level.
The remaining distance is 75 miles, so the truck will not run out of gas before reaching home since 75 miles is less than 128 miles that the truck can drive with the remaining fuel in the tank.
Therefore, the answer is no, the truck will not run out of gas before getting home.
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divide 24x^2y^2z^2 by 6yz pls give step by step explanation
Answer:
\(\boxed{4x^2yz}\)
Step-by-step explanation:
\(24x^2y^2z^2 \: by \: 6yz = \frac{24x^2y^2z^2 }{6yz} = \\ \frac{(24)x^2y^2z^2}{(6)yz} = \frac{24}{6} \times \frac{yz}{yz} \times \frac{x^2yz}{1} = \\ \frac{4}{1} \times \frac{1}{1} \times \frac{x^2yz}{1} = \boxed{4x^2yz}\)
True or False: The perimeter of a square is proportional to the diagonal length of a square.
Solve the equation for all values of x.
(x + 3)(72 – 9) = 0
Answer:
x has to be -3 for the answer to be 0
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
(x + 3)(72 – 9) = 0
(x + 3)(63) = 0
63x + 189 = 0
63x = -189
x = -3
Distribute to create an equivalent expression with the fewest symbols possible. 3(7x+1)=
3(7x + 1)
3 . 7x = 21x
3.1 = 3
3(7x + 1 ) = 21x + 3
The equivalent expression with the fewest symbols possible is 21x+ 3.
What is Distributive Property?The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
we have,
3 x (7x+ 1)
By Distributive property we know
a x( b+ c) = a x b + a xc
ax (b-c) = a x b - a x c
So, 3 (7x + 1 )
= 3 (7x)+ 3(1)
= 21x + 3
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Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?
Answer: ow where A = total ... b) How much money will Jack have after 5 years? ... Is it monetarily better to invest your.
Missing: Cody | Must include: Cody
Simple Interest.pdfwww.bgreen.kyschools.us › userfiles
The more money being used and the longer it is used for, the ... product of the principal, the interest rate and the time in years. ... 4.) Isabella deposited $500 into a savings account at a local bank that earned 5% ... interest does she earn per year? year ... How much money did he have in the account after 9 months? Total.
Missing: $1400 | Must include: $1400
Compound Interest Calculator - Iowa Trust and Savings Bankwww.iowatrust.bank › calculator › compound-interest
How interest is calculated can greatly affect your savings. ... often interest is compounded, or added to your account, the more you earn. ... Total Return After 10 Years ... for the 10 years ending December 31st 2020, had an annual compounded rate ... It is not possible to invest directly in an index and the compounded rate of ...
Missing: Cody | Must include: Cody
Review Quiz 3.1-3.4 Answer Keywww.mpsaz.org › staff › kweinspahr › class2 › files › k...
4 x 21 € 84 b. How much will he owe the bank after June 8? -1567.28-84 = 1651.28. 3. Dean has a checking account at City Center Bank. During the month of ...
Missing: Cody | Must include: Cody
Compound Interest - Purdue Mathwww.math.purdue.edu › ~penney › InterestTheory
How much would I owe after 3 years? Solution. On May 1, I have had
Step-by-step explanation:
The question is in the picture I would appreciate if you could explain how to get the answer thank you.
Answer: the cost for Internet increase by 5/4 per minute
Step-by-step explanation:
On the paper quiz gives the following data values:
0 2 1 1 2 5 3 2 9 1 1 0 3 1 22
For this list of data, find n.
Answer:
n=15 beacuae n mean number of given
Calculate 15% of 12000 for two (2) years
Answer:
look below
13,800
A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is not replaced before the secod one is taken. Find the probability that
a) the first ball taken will be blue
b) both balls taken will be blue
c) both balls taken will be the same colour
Answer:
a)the first ball taken will be blue
the smallest score in a population is x = 5 and the largest score is x = 10. based on this information, you can conclude that the____.
Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard deviation is going to be smaller than the range of scores.
Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:
Range of scores=largest score-lowest score
=10-5
=5
Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10
Standard deviation which refers to the average spread of the distribution, will now be considered to be smaller since the range of scores is low.
Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.
Hence, smaller than the range of scores.
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Write an equation in slope-intercept form for the line with slope 1/3 and -1 intercept .
Answer:
It should be y=1/3x-1
Step-by-step explanation:
equation without numbers: y=mx+b
M=Slope
B=Y-intercept
If you're looking for y you would do say on your x-axis it's 5 it would look like,
y=1/3x5-1
and then you're answer would be .65 as a fraction, I can't do that on my calculator.
Otherwise your answer would be y=1/3x-1
in one recent year, 630 different pitchers pitched to at least one batter in a major-league baseball game. if the probability of a randomly-selected person being left-handed is 0.117, how many of those pitchers would you expect to be left-handed? round to the nearest whole person.
You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:
Expected Value = (Probability of Event) * (Number of Trials)
Expected Value = (0.117) * (630)
Expected Value = 73.31
Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
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actoring Quadratic Expressions. Factor each completely. 1) x. 2 − 7x − 18. 2) p. 2 − 5p − 14. 3) m. 2 − 9m + 8.
Completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)How to evaluate each part of the question?1. x² - 7x - 18 can be factored as:
(x - 9)(x + 2)
Expand the expression using FOIL:
(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18
2. p² - 5p - 14 can be factored as:
(p - 7)(p + 2)
Expand the expression using FOIL:
(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14
3. m² - 9m + 8 can be factored as:
(m - 1)(m - 8)
Expand the expression using FOIL:
(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8
Therefore, the completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)Learn more about factored expressions.
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3. The positive root of 154 is located between which two consecutive integer values?
Answer:
between 12 and 13
Step-by-step explanation:
answer is 12.4
Answer:
Step-by-step explanation:
12²=144
√144=12
13²=169
√169=13
√154 lies between 12 and 13.
Jaimie swims 1/2 the length of the swimming pool every 1/4 of a minute. What is the number of lengths of the swimming pool Jaimie swims per minute
Answer:
2 is the answer your welcome!!!!!!!!!! :)
Step-by-step explanation:
Will award brainliest for the correct answer!
Graph the compound inequality.
f ≤ –0.8 or f ≥ 1.6
Answer:
f ≥ 1.6
Step-by-step explanation:
I am also learning this in school rn :)
Manjila gupta birth date
Answer:
i am jisoo i am okey
Step-by-step explanation:
jinnie
The water was pumped out of a backyard pond. What is the domain of this graph
Answer:
D. Real numbers from 0 to 12
Step-by-step explanation:
The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.
Time also can not go below 0 so we are left with real numbers from 0 to 12
Help me plsssssssssss
Answer:
#1: slope = 1/10
#2: slope = 5/2
#3: slope = 1/2
#4: slope = - 10/9
Sry if this is wrong but i hope i helped :)
The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $2 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $2.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
The pounds of the Earl Grey tea and Orange Pekoe tea are required from selling the new blend versus selling the other types is 225 pounds and 75 pounds.
Let x = amount of Earl Grey tea to mix
so, 300-x = amount of Orange Pekoe tea to mix
After putting the equations together,
6x+4(300-x)=5.5*300
6x+1200-4x=1650
2x=450
x=225
So amount of Earl Grey tea to mix is 225 pounds
amount of Orange Pekoe tea to mix = 300-x
300-225 = 75
So the amount of Orange Pekoe tea to mix is 75 pounds.
Amount of Earl Grey tea to mix=225 pounds
Amount of Orange Pekoe tea to mix=75 pounds
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is the centre of a circle always equal distance from all points on the circumference? and why
Answer:
Yes, the center of a circle is always and always equidistant from all the points on circumference because that is because what a circle is called. The distance from the center of the circle to the circumference is called the radius and it is constant for any particular circle.
The radius of a cone is increasing at a constant rate of 3 inches per minute,
and the volume is increasing at a rate of 43 cubic inches per minute. At the
instant when the radius of the cone is 1 inches and the volume is 13 cubic
inches, what is the rate of change of the height? The volume of a cone can be
found with the equation V = r²h. Round your answer to three decimal
places.
Answer: ____in/min
The height is changing at a rate of 15 inches every minute.
To solve this problemWe can use the derivative of the volume formula to derive an equation that links the rates of change of the cone's volume, radius, and height:
Cone volume formula: V = (1/3)r2h
Using derivative on both sides with regard to time, we arrive at:
dV/dt equals (1/3) * 2r * dr/dt * h plus (1/3) r2 * dh/dt.
where
The rates of change for the volume Radius Height are denoted by dV/dt, dr/dt, and dh/dtWe can enter the values supplied here as substitutes in this equation:
dV/dt = 43 in3 minutes.
Dr/Dt = 3 In/Minute
r = 1 in
V = 13 in³
For dh/dt, we can solve for:
43 = (1/3)π * 2(1) * 3 * h + (1/3)π(1)² * dh/dt
43 = 2πh + (1/3)π * dh/dt
129 = 6πh + π * dh/dt
dh/dt = (129 - 6πh) / π
We may now change h = (3V) / (r2) to obtain:
dh/dt is equal to (129 - 6 (3V)/(r2)) /
(129 - 18V/r2) / dh/dt
By substituting the V and r values that are supplied, we obtain:
dh/dt = (129 - 18(13)/(1²)) / π
dh/dt = about 15 in/min
As a result, the height is changing at a rate of 15 inches every minute.
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Sal earns $17. 50 an hour in a part time job. He needs to earn at least $525 per week. Which inequality best represents Sals situation
Answer:
To represent Sal's situation, we can use an inequality to express the minimum earnings he needs to meet his weekly target.
Let's denote:
- E as Sal's earnings per week (in dollars)
- R as Sal's hourly rate ($17.50)
- H as the number of hours Sal works per week
Since Sal earns an hourly wage of $17.50, we can calculate his weekly earnings as E = R * H. Sal needs to earn at least $525 per week, so we can write the following inequality:
E ≥ 525
Substituting E = R * H:
R * H ≥ 525
Using the given information that R = $17.50, the inequality becomes:
17.50 * H ≥ 525
Therefore, the inequality that best represents Sal's situation is 17.50H ≥ 525.
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
A. 3.46 units
B. 8.49 units
C. 12.00 units
D.72.00 units
Answer:
B
Step-by-step explanation:
\( \sqrt{( - 4 - 2) {}^{2} + (6 - 0) {}^{2} } = 8.49 \\ \)
Answer:
B. 8.49
Step-by-step explanation:
Just took the same test
How to find the slope of a line passing through (-3,3) , (-5,9)
Answer:
slope = - 3
Step-by-step explanation:
\(slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}\) , \([ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ]\)
\(slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3\)
2. Tyrel estimates that he can average $6.20 per hour throughout the week on all the jobs he does. Last week he worked 18.75 hours. If his estimate was correct, how much did he earn last week?
Answer:
303.75
Step-by-step explanation:
the new minimum wage is 15 dollars this is unbelievable these lies
for the simple harmonic motion equation d=2 sin(pi/3t) what is the period
For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.
The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.
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A cylinder has a volume of 792 m and a radius of 6 m. Find its height.
Answer:
7 m
Step-by-step explanation:
you divide the volume by the radius I'm pretty sure. that's what I did and I got 7