C) x= -1/10
1) Evaluating the following expression
23x+2= 15x + 48x + 6 Add the like terms
23x +2 = 63x +6 Subtract 63x and 2 from both sides
23x -63x = 6 -2
-40x =4 Divide both sides by -40
x = -4/40 Simplify it by 4
x= -1/10
2) Hence, the answer is x= -1/10
At what values of x, does f(x) = 0?
A. 4
B. 0
C. 2
D. 4.2
E. -8
F. -1
Answer:
-1, 2, 4
Step-by-step explanation:
f(x) is the function's value at any given x. In other words, it's your function's y coordinate. You're looking for where the y coordinate is zero - so, in other words, the x intercepts. Luckily for you, all the x-intercepts here are clearly marked and they were kind enough to give you the coordinates.
Someone help me with this it’s permutations vs combinations I searched on gooogle and found nothing pls help
State if each scenario involves a permutation or a combination. Then find the number of
possibilities.
1) Stefan and Krystal are planning trips to
eight countries this year. There are 11
countries they would like to visit. They
are deciding which countries to skip.
2) A group of 45 people are going to run a
race. The top three runners earn gold,
silver, and bronze medals.
3) A group of 28 people need to take an
elevator to the top floor. They will go in
groups of seven. They are deciding who
will take the elevator on its second trip.
4) Lisa and Daniel are planning trips to
twelve countries this year. There are 14
countries they would like to visit. They
are deciding which countries to skip.
5) There are 280 athletes at a meeting. They
each shake hands with everyone else.
How many handshakes were there?
6) A team of 18 softball players needs to
choose a captain and co-captain.
7) There are 30 applicants for two Systems
Engineer positions.
8) Selecting which ten players will be in the
batting order on a 11 person team.
9) Totsakan and Huong are planning trips to
eight countries this year. There are 10
countries they would like to visit. They
are deciding which countries to skip.
10) There are 15 applicants for three jobs:
computer programmer, software tester, and
manager.
From the given scenario 1, 3, 4, 5, 7, 9, 10 is combination and rest others are permutations
What is permutations and combinations?
Permutations are the arrangements of objects in a specific order. They are a way of counting the number of ways to choose and arrange a set of objects. The order of the objects matters in permutations. For example, the number of ways to arrange the letters A, B, and C in a row is 3! (or 6), because there are 3 choices for the first letter, 2 choices for the second letter, and 1 choice for the last letter.
Combinations, on the other hand, are the ways of choosing a set of objects without regard to order. The order of the objects does not matter in combinations. For example, the number of ways to choose two letters from A, B, and C is 3C2 (or 3), because there are three possible combinations (AB, AC, BC), but they are the same set of two letters.
According to given information :Combination. The number of ways to choose which countries to skip is a combination. The answer is C(11, 8) = 165.Permutation. The number of ways to award the medals is a permutation. The answer is P(45, 3) = 18,360.Combination. The number of ways to choose who will take the elevator on its second trip is a combination. The answer is C(21, 7) = 116,280.Combination. The number of ways to choose which countries to skip is a combination. The answer is C(14, 12) = 91.Combination. The number of handshakes is a combination. The answer is C(280, 2) = 39,380.Permutation. The number of ways to choose a captain and co-captain is a permutation. The answer is P(18, 2) = 306.Combination. The number of ways to choose two Systems Engineer positions is a combination. The answer is C(30, 2) = 435.Permutation. The number of ways to select the batting order is a permutation. The answer is P(11, 10) = 11!.Combination. The number of ways to choose which countries to skip is a combination. The answer is C(10, 8) = 45.Combination. The number of ways to choose three people for three jobs is a combination. The answer is C(15, 3) = 455.Therefore, scenario 1, 3, 4, 5, 7, 9, 10 is combination and rest others are permutations
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a circle with an area of `8\pi` square centimeters is dilated so that its image has an area of `32\pi` square centimeters. what is the scale factor of the dilation?
The scale factor of the dilation of the given object is 4.
The scale factor of dilation:
The scale factor of the dilation of an object is determined by taking the ratio of image length to the corresponding object length.
Dilation is the process of resizing or transforming an object. The transformation that makes the objects smaller or larger with the help of the given scale factor.
The basic formula to find the scale factor of a dilated is:
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
\(SD=\frac{32cm^2}{4cm^2}\)
SD=4
Thus, the scale factor of the dilation of the given object is 4.
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. The middle school girls' softball team only won 14 games last year. This year,
they won 26 games. What is the percent increase of games won this year over
last year?
Answer:
85.71 %
Step-by-step explanation:
26-14=12
12/14= 0.8571
0.8571x100= 85.71
Answer:
A change from 14 to 26 represents a positive change (increase) of 85.7142857143%
Step-by-step explanation:
Use the formula:
New - Old / Old x 100%
In other words, new(26) minus old(14) divided by old(14) time 100%
14 is the old value and 26 is the new value. In this case we have a positive change (increase) of 85.7142857143 percent because the new value is greater than the old value.
What do u round your answer too if the number is 4.65885
Answer:
4.7
Step-by-step explanation: anything over 5 you round up
The Great Pyramid in Egypt is about 147 meters tall. Rosa is building a scale model of the Great Pyramid using the scale 1 inch = 10 meters. Which of the following proportions can Rosa use to find the height in inches, x, that her scale model should be?
Answer:
Answer: C
Step-by-step explanation:
I think this the one becuase your supposed to find how tall the real pyramid itself, using the current convertion, And this proportion exactly shows the correct way to set up the eqaution.
A ratio shows us the number of times a number contains another number. The correct option is C, x/147=1/10.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that Rosa is using the scale ratio 1 inch = 10 meters. Therefore, we can write,
Scale ratio = Measure in the model / measure in real life = 1 inch / 10 meters
Also, the Great Pyramid in Egypt is about 147 meters tall. Therefore, if the height of the great Pyramid in scale model is represented by x. Then we can write, the scale ratio as,
Scale ratio = Measure in the model / measure in real life = 1 inch / 10 meters
Scale ratio = 1 inch / 10 meters = x inches / 147 meters
Hence, the correct option is C, x/147=1/10.
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What are the next 3 terms of the sequence 18,19,20,21
Answer:
22,23,24
Step-by-step explanation:
Each term is being added by one. So if you add 1 to the next 3 terms after 21, you get 22,23, and 24.
Plaza Corporation purchased 70 percent of Square Company's voting common stock on January 1, 20X5, for $291,200. On that date, the noncontrolling interest had a fair value of $124,800 and the book value of Square's net assets was $380,000. The book values and fair values of Square's assets and liabilities were equal except for land that had a fair value $14,000 higher than book value. The amount attributed to goodwill as a result of the acquisition is not amortized and
In a purchase acquisition, the purchase price is allocated to the fair value of the net assets acquired. In this case, Plaza Corporation has purchased 70% of Square Company's voting common stock.
Since the noncontrolling interest in Square is 30% and has a fair value of $124,800, the implied fair value of Square Company is $178,285 ($291,200 - $124,800).The difference between the purchase price and the fair value of net assets acquired represents goodwill. The fair value of net assets acquired is $380,000 + $14,000 = $394,000. Therefore, the goodwill is $116,485 ($178,285 - $394,000).The goodwill is not amortized but is subject to impairment testing at least annually. The goodwill impairment test compares the fair value of the reporting unit, in this case, Square Company, to the carrying amount of the reporting unit, including the goodwill. If the fair value of the reporting unit is less than its carrying amount, an impairment loss is recognized, which reduces the carrying amount of the goodwill.
Based on the provided information, the amount attributed to goodwill as a result of the acquisition is $116,485. It is not amortized but is subject to impairment testing at least annually.
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Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
If 5m= 7n, what is the ratio of n to m?
Answer:
the ratio of n to m is 5 : 7
5m = 7 n
n : m = 5 : 7
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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Chicago has an elevation of 991 feet above sea level. The elevation of Detriot is -923
feet.
Select all the true statements:
Detriot is at sea level
The difference elevations is more than 1900
The difference elevations is less than 1900
The difference elevations is 1900
Detriot is below sea level
Detriot is above sea level.
Answers:The difference elevations is more than 1900
Detriot is below sea level
SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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solve the quadratic equation
2(6x+7)(7x-4)=0
Step-by-step explanation:
=2(6×+7)(7×-4)
=2(+42)(-32)
=2×+42×-32
=84×-32
=-2688
Hello! can anyone help me with this question
Answer:
3
Step-by-step explanation:
m = y2 - y1 / X2 - X1
-1 is your X1 . -4 is your y1
2 is your X2 . 5 is your y2
just replace what's in the equation
m= 5 - (-4) / 2 - (-1)
m= 9 / 3
m = 3
hi there
the explanation is in the picture
2. Leon decides that the hummingbirds like a sugar solution that has a concentration of 105 g/L. If Leon makes 4 L of this solution, how many grams of sugar should he use?
Answer:not understanding how he steps
Step-by-step explanation:
PLEASE HELP!
At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.
On Saturday, 1500 tickets were sold and brought in $5500.
The number of college student tickets sold was 100 less than the number of children's tickets sold.
How many children's tickets were sold?
Answer:
Children's' Tickets Sold: 400
College Tickets Sold: 300
Adult Tickets Sold: 800
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
MatricesReduced Row Echelon Form (RREF)Step-by-step explanation:
Step 1: Define Variables
x = children tickets
y = college tickets
z = adult tickets
Step 2: Define Systems
Use the given information to set up the equations.
x + y + z = 1500
1.5x + 3y + 5z = 5500
y = x - 100
Step 3: Redefine Systems
x + y + z = 1500
1.5x + 3y + 5z = 5500
-x + y = -100
Step 4: Solve for x
Rewrite [Matrix]: \(\left[\begin{array}{ccc}1&1&1 | 1500\\1.5&3&5 | 5500\\-1&1&0 | -100\end{array}\right]\)[Matrix] RREF: \(\left[\begin{array}{ccc}1&0&0 | 400\\0&1&0 | 300\\0&0&1 | 800\end{array}\right]\)Here we see that our x = 400, y = 300, and z = 800. Correspond this with our defined variables and we have our answer.
117 students went on a field trip three busses were filled and 6 students traveld in cars
Answer:
37 students in each bus so 111 students went on the bus
Step-by-step explanation:
6 students went on the bus so 117 - 6 = 111 there are 3 buses so 111 / 3 = 37 so 37 students per bus
when xyz is trading at 40, an xyz 30 put sold at 3 would be a) at parity. b) at the money. c) out of the money. d) in the money.
The correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
To determine the status of an XYZ 30 put option sold at 3 when XYZ is trading at 40, we need to understand the concepts of "at parity," "at the money," "out of the money," and "in the money" in options trading.
- At parity: An option is said to be at parity when its market price is equal to its intrinsic value. Intrinsic value refers to the amount by which an option is in the money. If an option is at parity, there is no inherent gain or loss in holding the option.
- At the money: An option is considered at the money when the strike price of the option is equal to the current market price of the underlying asset. In this case, the XYZ 30 put would be considered at the money if the XYZ stock is trading at 30, which is not the case in this scenario.
- Out of the money: An option is out of the money when the strike price is higher for a put option (or lower for a call option) than the current market price of the underlying asset. In this scenario, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is out of the money.
- In the money: An option is in the money when the strike price is lower for a put option (or higher for a call option) than the current market price of the underlying asset. In this case, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is in the money.
Therefore, the correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
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Help NOW RIGHT NOW
lucy wanted to water her garden of tulips her garden is 3 ft long and 6 ft wide if her garden has a volume of 54 cubic feet what is the height of her garden
Answer:
So the answer would be 9
Step-by-step explanation:
3*6=9
I will mark you brainliest
can someone pls tell me the answer i already tried the option 4 and it was wrong
Answer:
2 and 3\4
Step-by-step explanation:
hope that is right
Differentiate. y = t sin(t)/ 1 + t, y'= ___
The derivative of y with respect to t is given by y' = [sin(t) + t * cos(t) + t^2 * cos(t)] / [(1 + t)^2].
To differentiate the given function, y = (t * sin(t)) / (1 + t), we can apply the quotient rule of differentiation. The quotient rule states that for two functions u(t) and v(t), the derivative of their quotient u(t) / v(t) is given by:
y' = (u'(t) * v(t) - u(t) * v'(t)) / [v(t)]^2
Now, let's differentiate each component of the function separately:
u(t) = t * sin(t)
v(t) = 1 + t
To find u'(t), we need to apply the product rule. The product rule states that for two functions f(t) and g(t), the derivative of their product f(t) * g(t) is given by:
(f(t) * g(t))' = f'(t) * g(t) + f(t) * g'(t)
Using the product rule, we can find u'(t):
u'(t) = (t)' * sin(t) + t * (sin(t))'
= (1) * sin(t) + t * cos(t)
= sin(t) + t * cos(t)
To find v'(t), we differentiate v(t) with respect to t:
v'(t) = (1 + t)' = 1
Now, we can substitute the values into the quotient rule formula:
y' = [(sin(t) + t * cos(t)) * (1 + t) - (t * sin(t))] / [(1 + t)]^2
Simplifying further:
y' = [sin(t) + t * cos(t) + t * sin(t) + t^2 * cos(t) - t * sin(t)] / [(1 + t)^2]
= [sin(t) + t * cos(t) + t^2 * cos(t)] / [(1 + t)^2]
Therefore, the derivative of y with respect to t is given by y' = [sin(t) + t * cos(t) + t^2 * cos(t)] / [(1 + t)^2].
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Bank reconciliaion statement a.cheques drew but not enhanced rs.8,000. b.direct payment made by a customer into the bank but not recorded in cash book rs.2,550. c.commission paid by bank as per standing instruction rs.3,500. d.cheque paid to bank rs.5,500 but not credited by bank. e.a wrong amount credited in passbook but not in cash book rs.1,000. f.under cast in the credit side of cash book rs.5,100. g.the cash book showed the favourable balance rs.12,550.
Adjusted Bank Balance: Rs. (12,550 + 8,000 + 2,550 + 3,500 - 5,500 - 1,000 - 5,100)
Based on the given information, let's summarize the items in the bank reconciliation statement:
a. Cheques drawn but not yet cleared by the bank: Rs. 8,000.
b. Direct payment made by a customer into the bank but not recorded in the cash book: Rs. 2,550.
c. Commission paid by the bank as per standing instruction: Rs. 3,500.
d. Cheque paid to the bank but not yet credited by the bank: Rs. 5,500.
e. Wrong amount credited in the passbook but not in the cash book: Rs. 1,000.
f. Undercast in the credit side of the cash book: Rs. 5,100.
g. Cash book balance: Rs. 12,550.
To prepare the bank reconciliation statement, we need to adjust the cash book balance by considering the items mentioned above. The statement would look as follows:
Cash Book Balance: Rs. 12,550
Add: Cheques drew but not enhanced: Rs. 8,000
Add: Direct payment made by a customer into the bank but not recorded in the cash book: Rs. 2,550
Add: Commission paid by bank as per standing instruction: Rs. 3,500
Less: Cheque paid to bank but not credited by the bank: Rs. 5,500
Less: Wrong amount credited in passbook but not in cash book: Rs. 1,000
Less: Undercast in the credit side of cash book: Rs. 5,100
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Which diagram represents the postulate that states exactly one line exists between any two points?
In the realm of geometry, lines and points are foundational, undefined terms. The postulate asserting the existence of exactly one line between any two points is best represented by option (c), where a straight line passes through points A and B, affirming the fundamental concept that two points uniquely determine a line.
The correct answer is option C.
In geometry, the foundational concepts of lines and points are considered undefined terms because they are fundamental and do not require further explanation or definition. These terms serve as the building blocks for developing geometric principles and theorems.
One crucial postulate in geometry states that "Exactly one line exists between any two points." This postulate essentially means that when you have two distinct points, there is one and only one line that can be drawn through those points.
To illustrate this postulate, we can examine the given options. The diagram that best represents this postulate is option (c), where there is a straight line passing through points A and B. This choice aligns with the postulate's assertion that a single line must exist between any two points.
Therefore, among the provided options, only option (c) accurately depicts the postulate. It visually reinforces the idea that when you have two distinct points, they uniquely determine a single straight line passing through them.
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I need some help on this !
a.13.3 cm to the power of 3
b.15 cm the power of 3
c.66.7 cm to the power of 3
d.75 cm to the power of 3
The volume of the pyramid is 66.7 cm cube. Therefore, the answer is c.
How to find the volume of a pyramid?The above diagram is a square base pyramid. The volume of the square base pyramid can be represented as follows:
volume of the pyramid = 1 / 3 BH
where
B = base areaH = height of the pyramidTherefore,
base area = l²
where
l = side lengthHence,
base area = 5²
base area = 25 cm²
Therefore, let's find the volume of the pyramid.
Hence,
volume of the pyramid = 1 / 3 × 25 × 8
volume of the pyramid = 200 / 3
volume of the pyramid = 66.6666666667
Therefore,
volume of the pyramid = 66.67 cm³
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answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation:
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Assume you have a poker chip set containing blue, red, and white chips, all of the same size. This time, you place 18 blue chips, 23 red chips, and 9 white chips in a bag. Using the Law of Large Numbers, what is the probability of selecting a red chip from the bag?
Impulse, change in momentum, final speed, and momentum are all related concepts in the context of Newton's laws of motion. Let's go through each option and explain their relationships:
(a) Impulse delivered: Impulse is defined as the change in momentum of an object and is equal to the force applied to the object multiplied by the time interval over which the force acts.
Mathematically, impulse (J) can be expressed as J = F Δt, where F represents the net force applied and Δt represents the time interval. In this case, you mentioned that the net force acting on the crates is shown in the diagram. The impulse delivered to each crate would depend on the magnitude and direction of the net force acting on it.
(b) Change in momentum: Change in momentum (Δp) refers to the difference between the final momentum and initial momentum of an object. Mathematically, it can be expressed as Δp = p_final - p_initial. If the crates start from rest, the initial momentum would be zero, and the change in momentum would be equal to the final momentum. The change in momentum of each crate would be determined by the impulse delivered to it.
(c) Final speed: The final speed of an object is the magnitude of its velocity at the end of a given time interval.
It can be calculated by dividing the final momentum of the object by its mass. If the mass of the crates is provided, the final speed can be determined using the final momentum obtained in part (b).
(d) Momentum in 3 s: Momentum (p) is the product of an object's mass and velocity. In this case, the momentum in 3 seconds would be the product of the mass of the crate and its final speed obtained in part (c).
To rank these quantities from greatest to least for each crate, you would need to consider the specific values of the net force, mass, and any other relevant information provided in the diagram or problem statement.
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what is the answer Evaluate 6a2 if a = 4
Answer:
96
Step-by-step explanation:
6a²
Put a as 4.
6(4)²
Solve for power first.
6(16)
Multiply both terms.
= 96