Answer:
9/20 mile^2
Step-by-step explanation:
9/10 x 1/2 = 9/20
Answer:
The area of the field is \(\frac{9}{20}\) \(miles^{2}\)
Step-by-step explanation:
To get the area, multiply the length and the width together: \(\frac{9}{10}\) * \(\frac{1}{2}\) = \(\frac{9 * 1}{10*2}\) = \(\frac{9}{20}\)\(miles^{2}\).
The residents of a clty voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 2570 total votes, how many yes votes were there?
There were 1542 yes votes
Explanation:Parameters:
Total votes = 2570
Ratio of yes votes to no votes = 3:2
Sum of ratios = 3 + 2 = 5
The given statement means if 2570 was divided into 5, yes votes take 3 part of the votes, and no votes take the remaining 2.
So
Yes Votes = (3/5)*2570
= 1542
No Votes = (2/5)*2570
= 1028
5. In Standing Bear Middle School, there are 270 total students split into two groups: A and
B. If 30 students move to Group B from Group A, then there will be twice as many
students in Group A as in Group B. What is the original number of students in Group B?
Using a system of equations, it is found that the original number of students in Group B was of 120.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.
In the context of this problem, the variables are described as follows:
Variable x: number of students in group A.Variable y: number of students in group B.There are 270 total students, hence:
x + y = 270.
x = 270 - y. (as we want to find y).
If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:
x + 30 = 2(y - 30).
Replacing the relation of the first equation on the second, it is found that:
270 - y + 30 = 2y - 60
3y = 360
y = 360/3
y = 120.
The original number of students in Group B is of 120.
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Drag the factors to the correct locations on the image.
Each factor can be used more than once, but not all factors will be used. What is the factored form of this expression? x3 - 6x2 - 9x + 54
Tiles go here
( )( )( )
Tile options:
x - 6
x - 9
x + 9
x - 3
x + 3
x + 6
Answer: x-6, x+3, x-3
Step-by-step explanation;
Split the equation into two.
x2(x-6)-9(x-6)
(x-6) is seen as one of the tiles. Now work on x2-9
x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).
plzzzzz help me 50points plzzz help me
Answer:
the answer will be
area is= 10
maximum area is 100
Step-by-step explanation:
hello,
to find the area of the figure:
A = b x h
b = w ; h = 20-w
A = w(20-w)
A = 20w - w^2 OR A = -w^2+20w
to find the maximum w value:
so this equation when graphed would make a parabola. the maximum area is found using the vertex of the parabola.
you can graph it to find the vertex or the vertex can be found with the formula -b/2a
our b is 20 and our a is -1
-b/2a = -20/2(-1) = 10
10 is the w value
to find the area we substitute all the w's in the equation for 10
A = 20w-w^2
A = 20(10) - (10)^2
A = 200 - 100
A = 100
so to sum up:
the equation for the area is A = 20w - w^2 OR A = -w^2+20w (whichever one should work)
the maxiumum area is 100 square units
hope this helped :)
For the function Rx) = +2, which of these could be a value of Ax) when x isclose to 2? A. 0.01B. 2C. -0.01D. 10,000
The given function F(x) is,
\(F(x)=\frac{1}{x-2}\)Take the limit of the function when x ix close to 2.
\(Lt_{x\rightarrow2}\frac{1}{x-2}=\infty\)Hence, the function diverges.
a solid lies inside the sphere x2 y2 z2 = 6z and outside the cone z = x2 y2 . write a description of the solid in terms of inequalities involving spherical coordinates
The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.
To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:
x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ
Substituting these values in the given equations, we get:
r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ
Simplifying these equations, we get:
r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ
Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:
r² = 6 cosθ
And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:
r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)
Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:
r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)
This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.
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Ecuación equivalente
The given expression 4m^2 - (1m/4) can be simplified to the equivalent equation (16m^2 - m)/4 by combining like terms and finding a common denominator.
To find the equivalent equation for the expression 4m^2 - (1m/4), we can simplify it by combining like terms and performing any necessary operations.
The given expression is 4m^2 - (1m/4).
To begin, let's simplify the expression by multiplying the terms inside the parentheses by the common denominator of 4 to eliminate the fraction:
4m^2 - (1m/4) = 4m^2 - (1m * 1/4)
= 4m^2 - m/4
Next, we need to combine like terms. In this case, we have two terms: 4m^2and -m/4.
The terms cannot be directly added or subtracted since they have different factors of m. To combine them, we need to find a common denominator. In this case, the least common multiple of 4 and 1 is 4.
Multiplying the first term by 1 in the form of 4/4, we have:
4m^2 - m/4 = (4m^2 * 4/4) - m/4
= 16m^2/4 - m/4
= (16m^2 - m)/4
So, the equivalent equation for the expression 4m^2 - (1m/4) is (16m^2 - m)/4.
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4. Suspect's favorite hobby can be found by solving the problems
below. Use the code cracker to convert the your answers to
letters, then unscramble to reveal the final clue! Use the
information below to answer questions A - G.
Answer:
what type of problem is it reading or something eles?
Answer:
give a picture
Step-by-step explanation:
Equation P equal 4s gives the perimeter p of a square mouse pad with a side length of s inches
Triangle JKL is shown below.
K
84
67
L
M
What is the measure of KLM?
Answer:
29
Step-by-step explanation:
sum of angles in a triangle=180°
180-(67+84)=29°
All other units of measure are defined and compared to the four basic measurements of: _____?
The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.
Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.
Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.
All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).
The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.
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in this lab, you have investigated six of the most important distributions in probability theory. you should now have a good idea of when to expect these distributions to appear. for the random variables below, indicate whether you would expect the distribution to be best described as geometric, binomial, poisson, exponential, uniform, or normal. we do not have data, so you will not to use the computer for these questions. for each item, give a brief explanation of your answer. a one-sentence explanation should be sufficient. the number of days in the next month that the first daily 4 number drawn in the california state lottery is a 6. (each day, this number is equally likely to be any of the 10 digits.) the time of day that the next major earthquake occurs in southern california. the number of free throws that a basketball player attempts until she misses one. the number of phone calls that a store manager gets in the next hour. the number of minutes that the store manager is waiting before her next phone call. the number of people, out of the next 20 people who die in san diego county, who are over age 85. the amount of time before the next house fire in san diego county.
Who are over the age of 85 would be best described by a binomial distribution.
How does the binomial distribution account for the number of people over the age of 85 in the next 20 deaths in San Diego County?For the number of days in the next month that the first daily 4 number drawn in the California State Lottery is a 6, the best distribution would be geometric.The reason is that each day the number drawn is equally likely to be any of the 10 digits, so the probability of getting a 6 on any given day is 1/10. Geometric distribution models the number of trials needed to obtain the first success in a sequence of independent trials with a fixed probability of success.
The time of day that the next major earthquake occurs in Southern California would be best described by a uniform distribution. This is because earthquakes can occur at any time during the day and are not influenced by specific patterns or probabilities throughout the day.The uniform distribution assumes that all outcomes within a given range are equally likely.
The number of free throws that a basketball player attempts until she misses one is best described by a geometric distribution. The player attempts each free throw independently, and the probability of missing a free throw remains constant throughout the attempts.The geometric distribution models the number of trials needed to achieve the first failure in a series of independent trials with a fixed probability of failure.
The number of phone calls that a store manager gets in the next hour is likely to follow a Poisson distribution.The Poisson distribution is appropriate when events occur randomly in time and the average rate of occurrence is known. In this case, the rate of phone calls per hour would determine the parameter of the Poisson distribution.
The number of minutes that the store manager is waiting before her next phone call is best described by an exponential distribution.The exponential distribution models the time between events in a Poisson process, where events occur randomly and independently over time. In this case, the store manager's waiting time between phone calls follows an exponential distribution.
The number of people, out of the next 20 people who die in San Diego County, who are over the age of 85 would be best described by a binomial distribution.The binomial distribution models the number of successes (people over 85) in a fixed number of independent Bernoulli trials (deaths) with a constant probability of success (the proportion of people over 85 in the population).
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"In today's videos we saw that any full rank 2x2 matrix maps the unit circle in R2 to an ellipse in R2 We also saw that any full rank 2x3 matrix maps the unit sphere in R3 to an ellipse in R2. What is the analogous true statement about any 3x2 matrix? a. Any full rank 3x2 matrix takes a circle in a plane in R3 to an ellipse in R2. b. Any full rank 3x2 matrix takes the unit circle in R2 to an ellipsoid in R3 c. Any full rank 3x2 matrix takes the unit circle in R2 to a sphere in R3. O d. Any full rank 3x2 matrix takes the unit circle in RP to an ellipse in a plane inside R3."
The analogous true statement about any 3x2 matrix is (a): Any full rank 3x2 matrix takes a circle in a plane in R3 to an ellipse in R2.
In general, a full rank matrix maps a geometric shape to another shape of lower dimension. In the case of a full rank 2x2 matrix, it maps the unit circle in R2 to an ellipse in R2. Similarly, a full rank 2x3 matrix maps the unit sphere in R3 to an ellipse in R2.
For a full rank 3x2 matrix, it maps a circle in a plane in R3 to an ellipse in R2. This means that the matrix transformation will deform the circular shape into an elliptical shape, but it will still lie within a plane in R3. The number of rows in the matrix determines the dimension of the input space, while the number of columns determines the dimension of the output space.
It's important to note that option (b) suggests an ellipsoid in R3, but this is not the case for a 3x2 matrix. The transformation does not change the dimensionality of the output space. Similarly, options (c) and (d) are not accurate descriptions of the transformation performed by a 3x2 matrix.
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Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A ands who did Plan
B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B
Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?
The number of hour (time) for which workout plan A would last is 0.75 hour. Also, the number of hour (time) for which workout plan B would last is 0.5 hour.
How to calculate the number of hours (time)?In order to solve this word problem, we would assign variables to the number of hours (time) each plan and then translate the word problem into algebraic equation as follows:
Let x be the number of hours (time) for workout plan A.Let y be the number of hours (time) for workout plan B.Translating the word problem into an algebraic equation, we have;
On Friday ⇒ 6x + 5y = 7 ....equation 1.
On Saturday ⇒ 2x + 3y = 3 ....equation 2.
Next, we would solve the simultaneous equation by using elimination method:
3 × (2x + 3y = 3) = 6x + 9y = 9 ........equation 3.
Subtracting equation 1 from equation 3, we have:
6x + 9y = 9
6x + 5y = 7
4y = 2
y = 2/4
y = 1/2
y = 0.5 hour.
For the value of x, we have:
6x + 5y = 7
6x + 5(0.5) = 7
6x + 2.5 = 7
6x = 7 - 2.5
6x = 4.5
x = 4.5/6
x = 0.75 hour.
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Complete Question:
Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A and 5 clients who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?
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Of the 50 students in ski club, 14 are freshmen. What percent of the
members are not freshmen?
Answer:
72% are not freshmen.
Step-by-step explanation:
The not freshmen students are,
→ 50 - 14
→ 36 students
Then percent of not freshmen,
→ (36/50) × 100
→ 0.72 × 100
→ 72%
Hence, the answer is 72%.
A furniture store sells a sofa for $50 more than twice the amount it costs the store. If the store sells the sofa for $750. how much did the store pay for the sola?
A) $325 B) $400 C) $350 D) $1,450
Answer: 350
Step-by-step explanation: So they are selling the sofa for 50 more than what they bought times 2, so to get that you subtract 750-50. Then to find the two times you divide 700 by 2. Hope this helps!
Let the function f be defined by f(x)=5x for all numbers x. Which of the following is equivalent to f(p+r)?
the expression equivalent to f(p+r) is 5p + 5r.
The expression equivalent to f(p+r), where f(x) = 5x, is 5p + 5r. To understand this, we substitute (p+r) into the function f(x):
f(p+r) = 5(p+r)
Next, we distribute the 5 to both p and r:
f(p+r) = 5p + 5r
This equivalent expression arises from the definition of f(x) = 5x, where the function multiplies any given input x by 5. In this case, we substitute (p+r) into the function, resulting in 5 multiplied by the sum of p and r. Consequently, the expression 5p + 5r represents the value obtained by applying the function f to the sum of p and r. It is important to note that the function f(x) = 5x implies a linear relationship, where the function scales the input by a factor of 5.
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What type of money has value based on intrinsic worth?
A commodity money
B fiat money
C digital money
D currency
Answer: Commodity money
Explanation: has intrinsic value because it has other uses besides being a medium of exchange. Fiat money serves only as a medium of exchange, because its use as such is authorized by the government; it has no intrinsic value.
What is the quotient of 3/4 1/6?
Answer: 9/2
......................
Consider the numbers 94, 53, 96, 87, 43, 75, 23. Sort the numbers in decreasing order (largest number first, smallest number last) using a heap (or priority queue). Show all stages in the evolution of the heap
To sort the numbers using a heap, we first insert all the numbers into the heap. Then we repeatedly remove the maximum element from the heap and add it to the sorted list until the heap is empty. Here are the steps to build the heap and sort the numbers:
1. Start with an empty heap.
2. Insert 94 into the heap. The heap now looks like this: [94].
3. Insert 53 into the heap. The heap now looks like this: [94, 53].
4. Insert 96 into the heap. The heap now looks like this: [96, 53, 94].
5. Insert 87 into the heap. The heap now looks like this: [96, 53, 94, 87].
6. Insert 43 into the heap. The heap now looks like this: [96, 53, 94, 87, 43].
7. Insert 75 into the heap. The heap now looks like this: [96, 75, 94, 87, 43, 53].
8. Insert 23 into the heap. The heap now looks like this: [96, 75, 94, 87, 43, 53, 23].
9. Remove the maximum element (96) from the heap and add it to the sorted list. The heap now looks like this: [75, 53, 94, 87, 43, 23].
10. Remove the maximum element (75) from the heap and add it to the sorted list. The heap now looks like this: [94, 53, 23, 87, 43].
11. Remove the maximum element (94) from the heap and add it to the sorted list. The heap now looks like this: [87, 53, 23, 43].
12. Remove the maximum element (87) from the heap and add it to the sorted list. The heap now looks like this: [53, 43, 23].
13. Remove the maximum element (53) from the heap and add it to the sorted list. The heap now looks like this: [43, 23].
14. Remove the maximum element (43) from the heap and add it to the sorted list. The heap now looks like this: [23].
15. Remove the maximum element (23) from the heap and add it to the sorted list. The heap is now empty.
Therefore, the sorted list in decreasing order is [96, 94, 87, 75, 53, 43, 23].
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Determine whether each statement is true or false based on the given linear equation. The given equation has one solution. True False The equation -6x + 24 = 14x + 16 is equivalent to the given equation. True False The given equation has infinitely many solutions. True False If the left side of the given equation is changed to 7x + 4, then the equation will not have a solution. True False If the left side of the given equation is changed to 12, then there will be only one solution.
Step-by-step explanation:
Given the linear expression
-6x + 24 = 14x + 16
1. The equation -6x + 24 = 14x + 16 is equivalent to the given equation
the answer is True
2. The given equation has infinitely many solutions
the answer is false for all values of x
3. if -6x + 24 is changed to 7x + 4 then the equation will not have a solution
the answer is True
4. If the left side of the given equation is changed to 12, then there will be only one solution.
the answer is True
There are 3 ¼ packages of pencils on the desk. One full package weighs 1 ½ pounds. How much do all the containers weigh?
Answer and Explanation
\(4\ \frac{3}{4}\) \(or\) \(\frac{19}{4}\) = \(4.75\)
__________________________________________________________
We can prove this is correct by adding and multiplying some of the fractions.
\(\frac{1}{2}\cdot\frac{2}{2}\) = \(\frac{2}{4}\)
There.
__________________________________________________________
Now, we will add the fractions.
\(\frac{1}{4}+\frac{2}{4}\) = \(\frac{3}{4}\)
\(3+1\) = \(4\)
\(4+\frac{3}{4}\) = \(4\ \frac{3}{4}\)
__________________________________________________________
So, the answer is \(4\ \frac{3}{4}\).
__________________________________________________________
Hope this helps! <3
__________________________________________________________
In the psychoanalytic tradition, projection of feelings onto members by the leader is called:
a) Transference
b) Thantos
c) Countertransference
d) Analysis
In the psychoanalytic tradition, the projection of feelings onto members by the leader is called: c) Countertransference.
Countertransference refers to the phenomenon where a therapist or leader projects their own emotions, experiences, or unresolved issues onto the individuals they are working with. It is a concept rooted in Sigmund Freud's psychoanalytic theory and is an important aspect of the therapeutic relationship.
When a leader experiences countertransference, they may unconsciously attribute their own thoughts, feelings, or motivations to the members of their group. This projection can distort the leader's perception of the group members and influence their interactions and decision-making processes. It can also hinder the leader's ability to provide objective and unbiased guidance or support.
Countertransference can arise due to various reasons, such as personal history, unresolved conflicts, or parallel experiences with the group members. It is essential for leaders to be aware of their countertransference reactions and work through them to maintain professional boundaries and provide effective leadership.
By recognizing and addressing countertransference, leaders can gain insight into their own emotional reactions and separate them from the experiences of their group members. This self-awareness enables leaders to approach their role with greater objectivity, empathy, and understanding.
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A cylindrical shaped oil tank has a diameter of 6 inches and holds 26 pounds of oil. What is the total surface area of this tank
Approximating π as 3.14159, we find that the total surface area of the cylindrical oil tank is approximately 54(3.14159) = 169.65 square inches. Rounded to the nearest tenth, the total surface area is approximately 169.7 square inches.
To calculate the surface area of a cylindrical tank, we need to consider the curved surface area (lateral surface area) and the top and bottom circular areas.
The formula to calculate the curved surface area of a cylinder is given by A = 2πrh, where A is the surface area, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base (half the diameter), and h is the height (or length) of the cylinder.
In this case, the diameter of the tank is 6 inches, so the radius (r) is half of that, which is 3 inches. The height (h) is not provided, so we cannot calculate the exact surface area. However, if we assume the height is equal to the diameter (6 inches), we can proceed with the calculation.
Using the formula, we find that the curved surface area is approximately 2π(3)(6) = 36π square inches.
The top and bottom circular areas of the tank can be calculated using the formula A = πr^2, where A is the area and r is the radius. Each circular area is approximately π(3^2) = 9π square inches.
Adding the curved surface area and the two circular areas together, we get a total surface area of approximately 36π + 2(9π) = 36π + 18π = 54π square inches.
Approximating π as 3.14159, we find that the total surface area of the cylindrical oil tank is approximately 54(3.14159) = 169.65 square inches. Rounded to the nearest tenth, the total surface area is approximately 169.7 square inches.
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A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
due soon please help me3
Answer: the answer is 36 choice D
Step-by-step explanation: just trust me I got you
Answer:
It is 6
Step-by-step explanation:
since the perfect square is a result for (a+b) ^2
which is equal to a^2+2ab+b^2 and if a=x and 2ab=12x
\(b = 12x \2x\)
so b=6
you have 8 red roses and 4 yellow rose. if you line them up in a row, how many different arrangements can you get
There are 27,720 different arrangements of red and yellow roses.
The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:
n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange.
In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:
12! / (12 - 8)! = 12! / 4! = 27,720
So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.
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Which is a Perfect square
Answer: B
Step-by-step explanation:
A perfect square is in the name: square!
Any number squared means that it can represent a square, since the side lengths are equal. In this example, 6^2 is a perfect square since a square with equal side lengths of 6*6 would be perfect; any other length measures would not make it a square. Hope this helps explain it!
Answer:
6^2
Step-by-step explanation:
62 = (6 × 6) = 36. Here, 36 is a perfect square because it is the product of two equal integers, 6 × 6 = 36.
Which of the functions is represented by the graph
O f(x)=2x²+3
O f(x) = -x² + 3
O f(x) =1/2x² + 3
O f(x) = -1/2x +3
Number 1
Step-by-step explanation:
Number 1 it is a good answer