Answer:bellow hope I helped most likely c
Step-by-step explanation:
If 2% per year
480 x 1.02 = 489.6 first year
489.6 x 1.02= 499.392. Second year
499.392 x 1.02 = 509.37984 third year
If 2 % per all 3 years
480 x 1.02 = 489.6 all 3 years
If 2 % per each month
480 x 1.02 = 489.6 first month
489.6 x 1.02 = 499.392 second month
499.392 x 1.02 = 509.37984 third month
509.37984 x1.02 = 519.5674368 forth month
519.5674368 x1.02 =529.958785536 fifth month
529.958785536 x 1.02 =540.5579612467 sixth month
540.5579612467 x 1.02 = 551.3691204716 seventh month
551.3691204716 x 1.02 =562.396502881 eigth month
562.396502881xl x1.02 = 573.6444329386 nineth month
573.6444329386 x 1.02 =
585.1173215974 tenth month
585.1173215974 x 1.02= 596.8196680293 11th month
596.8196680293 x 1.02=608.7560613899 12 months (1 year)
608.7560613899 x1.02 = 620.9311826177 1st month 2nd year
620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year
633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year
646.0168023955 x 1.02 =658.9371384434 4th month 2nd year
658.9371384434 x 1.02= 672.1158812123 5th month 2nd year
672.1158812123 x1.02 = 685.5581988365 6th month 2nd year
685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year
699.2693628132 x1.02 =713.2547500695 8th month 2nd year
713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year
727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year
742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year
756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)
772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year
787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year
803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year
819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year
835.6916189634 x 1.02 =852.4054513427 5th month 3rd year
852.4054513427 x1.02 = 869.4535603696 6th month 3rd year
869.4535603696 x 1.02 =886.842631577 7th month 3rd year
886.842631577 x 1.02= 904.5794842085 8th month 3rd year
904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year
922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year
941.1244953706 x1.02 = 959.946985278 11th month 3rd year
959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)
The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts?.
No it is not reasonable , because the number of medium T-shirts is not 3 times the number of large T-shirts .
Given :
Let say that the class need x medium and y large t - shirts .
so ,
x + y = 216
x = 3y
substitute
3y + y = 216
4y = 216
divide by 4 on both sides
4y / 4 = 216 / 4
y = 216/4
y = 54
x = 54 * 3
= 162
so here we need 162 medium t - shirts and 54 large t - shirts
given 72 large and 144 medium t - shirts so it not reasonable .
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Calculate the approximate degree measure of the angle, given the following expression: cos(y°) = -0.10 Round your answer to the nearest tenth.
Answer:
y ≈ 95.7°
Step-by-step explanation:
To solve for the angle a trigonometric function is being used on, we have to use the inverse of the trigonometric function.
Inverse of tan(y°) = 4.12:
[tex]tan^{-1}(-0.10) = y[/tex]
Next, I used a scientific calculator to find the angle measure of y. I recommend using the Desmos Scientific Calculator.
[tex]95.7 = y[/tex]
Where is an expression in math?
We can identify an expression to see the numbers, variables and mathematical operator between them.
What is expression?An expression consists of at least two terms along with a sign. Terms can be a constant and variables or constant and variables accompanied by a number. In each case, there is one symbols in between. As example, 2+3z is a expression where 2 is a number called constant which is separated from variables z by a addition sign +, 3 is called coefficient of z.
How can we identify an expression?Mathematical expression is made up of combination of terms. We can find an expression with two or more numerical terms which are called numerical expression. Besides there are fractional expression with or without variables. We can identify an algebraic expression to observe that it has numbers, variables and operator. We can distinguish an equation from an expression by an equal sign. Whenever, an equal sign is present among the mathematical terms then the expression is called equation.
As example. the above expression is written as 2+3z=0
it is an equation, and we can determine the unknown value z.
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What is the median of 4 9 6 3 4 2?
To find the median of a set of numbers, you need to arrange the numbers in order from smallest to largest, and then find the middle number. In this case, the numbers are already in order: 2, 3, 4, 4, 6, 9.
There are 6 numbers in the set, so the median is the middle number, which is 4.
What is the median in mathematics?the median value, which is arrived at by sorting all the data points and selecting the central one (or if there are two middle numbers, taking the mean of those two numbers). Example: When the numbers are sorted, the number 4 is in the middle (1, 4, 7), making it the median of the numbers 4, 1 and 7.
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what distance has a cheats gone if it travels 25 m/s in 3 seconds
Answer:
75 m
Step-by-step explanation:
three seconds of 25 m/s and 3 x 25 = 75
Isaac's car used 7 gallons to travel 308 miles. How many gallons of gas would he need to travel 748 miles?
Answer: 17 gallons of gas to travel 748 miles
Step-by-step explanation:
First, we have to find how many miles he can travel with 1 gallon of gas
Take 308 divided by 7 = 44 miles of travel per gallon of gas
Then take 748 divided by 44 = 17 gallons
So, it takes 17 gallons of gas to travel 748 miles
Answer:
Isaac needs 17 gallons of gas to travel 748 miles.
Step-by-step explanation:
This problem is giving you the ratio of gallons to miles.
⭐A ratio is a fraction that compares two different units
⭐ In this problem, the units are gallons and miles
In order to find how many gallons Isaac needs to travel 748 miles, we need to create a proportion.
⭐ A proportion is when you make two ratios equal to each other to solve for one unit
First, let's identify the ratios in this situation. Let x = the number of gallons needed to travel 748 miles.
Ratio 1: 7 gallons/ 308 miles
Ratio 2: x gallons/748 miles
Now, set these two ratios equal to each other. Remember to keep the same units as either the numerator or denominator.
[tex]\frac{7}{308} = \frac{x}{748}[/tex]
Next, cross multiply to solve for x.
[tex]7(748) = 308x\\5,236 = 308x\\x = 17[/tex]
∴ Isaac needs 17 gallons of gas to travel 748 miles!
True or false math. Make sure you are correct though. Thank you!
Answer:
True
Step-by-step explanation:
Most of the function f(x) has the domain is (- infinity, positive infinity), So I think this is true!
How do you solve for x and y values?
Solving for two variables (normally denoted as "x" and "y") requires two sets of equations.
Assuming you have two equations, the best way for solving for both variables is to use the substitution method, which involves solving for one variable as far as possible, then plugging it back in to the other equation. Knowing how to solve a system of equations with two variables is important for several areas, including trying to find the coordinate for points on a graph.
Write out the two equations that have the two variables you want to solve. For this example, we will find the value for "x" and "y" in the two equations "3x + y = 2" and "x + 5y = 20"
Solve for one of the variables in on one of the equations. For this example, let's solve for "y" in the first equation. Subtract 3x from each side to get "y = 2 - 3x"
Plug in the y value found from the first equation in to the second equation in order to find the x value. In the previous example, this means the second equation becomes "x + 5(2- 3x) = 20"
Solve for x. The example equation becomes "x + 10 - 15x = 20," which is then "-14 x + 10 = 20." Subtract 10 from each side, divide by 14 and you have end up with x = -10/14, which simplifies to x = -5/7.
Plug in the x value in to the first equation to find out the y value. y = 2 - 3(-5/7) becomes 2 + 15/7, which is 29/7.
Check your work by plugging in the x and y values in to both of the equations.
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How do you solve for the mean variance and standard deviation of the sampling distribution of sample means?
From the provided sample, The mean variance and standard deviation of the sample is given by [tex]\bar x = \frac{\sum x}{n} , variance = {standard deviation }^2[/tex] and
[tex]\sqrt \frac{\sum {(x-\bar x)^2}}{n-1}[/tex] .
What do you mean by sample?Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.
What is mean and standard deviation?The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
sample size =n .
[tex]\sum x[/tex] = sum of sample data.
[tex]\bar x = \frac {\sum x}{n}[/tex] (sample mean)
sample standard deviation(s) = [tex]\sqrt \frac{\sum {(x-\bar x)^2}}{n-1}[/tex]
[tex]variance = standard deviation ^2[/tex]
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Kadeem invests money in an account paying a simple interest of 8% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
To find the total balance in an account that earns a simple interest rate of 8% per year, we can use the formula A = P(1 + rt), where A is the total balance, P is the initial principal (or amount invested), r is the annual interest rate, and t is the number of years. In this case, the annual interest rate is 8%, so we can substitute 0.08 for r in the formula. Since Kadeem wants to find his total balance in one step, we can set t equal to 1 year. So, to find Kadeem's total balance in one year in one step, he needs to multiply his current balance by 1 + 0.08 = 1.08. Therefore, Kadeem should multiply his current balance by 1.08 to find his total balance in a year in one step.
Can a 7th grader take algebra?
Yes, a 7th grader may be taken algebra. Depending on the school district, and capacity some 7th graders may be able to take algebra as an elective or as part of their regular curriculum.
Algebra is the branch of mathematics that helps in the rendering of problems or situations in the form of mathematical expressions.
It includes variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Some of the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One example is in algebra is 2x + 4 = 8.
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5 dogs had long hair out of the 8 dogs at the park. What percent of the dogs had long hair? Round your answer to the nearest whole percent.
Answer:
62.5%
Step-by-step explanation:
5/8 × 100
should give you 62.6%
How do you describe the relationship of the volume between the volume of a sphere and the volume of a cylinder?
The relationship between the volume of a sphere and the volume of a cylinder is: the volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.
In this question we need to describe the relationship of the volume between the volume of a sphere and the volume of a cylinder.
Consider a cylinder with radius r and height h.
we know that the formula for the volume of cylinder is,
V1 = π * r² * h
Consider a sphere with radius r1.
We know that the formula for the volume of sphere is,
V2 = 4/3 * π * r1³
If the sphere and a cylinder have same radii and height of cylinder equal to the diameter then, r1 = r and h = 2r
V2 = 4/3 * π * r³
And V1 = π * r² * (2r)
V1 = 2 * π * r³
V1 = 2 * 3/4 * V2
V1 = 3/2 * V2
volume of cylinder = 3/2 * volume of sphere
Therefore, the volume of a sphere = 2/3 * the volume of a cylinder
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pls help me this is hard
Answer:
in both questions the answer is option d.
A model with 3 rows of 5 squares and 3 rows of 3 squares. Use the model to find the missing number in the pair of equivalent expressions. 15 + 9 = ?(5 + 3) what number is missing from the expression?.
The missing number in the pair of equivalent expressions is 9.
To solve this problem, you can use the model provided to represent the expressions 15 + 9 and 5 + 3.
For the expression 15 + 9, you can place 15 in the first row of five squares and 9 in the second row of five squares, like this:
[15] [9]
For the expression 5 + 3, you can place 5 in the first row of three squares and 3 in the second row of three squares, like this:
[5] [3]
Then, you can use the model to find the missing number in the pair of equivalent expressions. Since the two expressions are equivalent, the missing number should be in the same position as the number 3 in the second row of the model.
If you look at the first expression, you can see that the missing number is in the same position as the number 9. Therefore, the missing number in the pair of equivalent expressions is 9.
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Which is an x-intercept of the continuous function in the table? Group of answer choices (–1, 0) (0, –6) (–6, 0) (0, –1)
In the given group of answer choices x-intercept, the only point that has a y-coordinate of 0 is (0, -1).
How do you find the x-intercept?An x-intercept is a point on the graph where the y-coordinate is 0. Therefore, the x-intercepts of the continuous function in the table are (0, 0) and (-6, 0). The other two points given in the group of answer choices, (-1, 0) and (0, -1), are not x-intercepts because they do not have a y-coordinate of 0.An x-intercept is a point where the function crosses the x-axis, meaning that the y-coordinate of the point is 0. In the given group of answer choices, the only point that has a y-coordinate of 0 is (0, -1),so (0, -1) is the x-intercept.To learn more about x-intercept refer :
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How do you store 3 values in one variable in Python?
My_3_variables = [title, author, date] and then put this list at the first position of your other list : my_list[0] = my_3_variables .
Now, According to the question:
Create a list containing your 3 variables : my_3_variables = [title, author, date] and then put this list at the first position of your other list : my_list[0] = my_3_variables .
How do I store multiple values in one variable Python?
append()
We use the append() method for this. You can use this to append single values to the list – value, list, tuple.
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Donovan made a snowman.The snowman weighed a total of 472 pounds . If the head was 202 pounds , and the base and torso weighted the same amount how much does the base and torso each weigh ? ASAP
Answer:
Base: 135 Pound
Torso: 135 Pound
Step-by-step explanation:
The snowman Weighed is 472 pounds
The head was 202 Pound
We have to find the total weight of the base and torso
472 - 202 = 270 pound
So, 270 pounds is the total weight of the base and torse
We know the base and torso weigh the same amount
So take 270 divided by 2 = 135 Pound
So, the Base weight is 135 Pound
the Torso weight is 135 Pound
Answer:
101 pounds
Step-by-step explanation:
if the torso and base weighs the same as the head
then each by itself should weigh 101 pounds
I hope this helps
and i hope i understood the question
How do you solve the mean error?
ME adds up the variances and divides the result by n. In this context, an error is defined as an uncertainty in a measurement or the difference between the measured value and the true/correct value.
What is mean?In mathematics and statistics, the mean is the average of a set of variables. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all ways for calculating the mean. The mean (average) of a data set is computed by adding all of the numbers in the set and dividing by the number of values in the set. When arranging data from smallest to greatest, the median is the value in the middle. The mode is the most commonly occurring number in a data set.
Here,
Subtract each measurement from another.
Find the absolute value of each difference from Step 1.
Add up all of the values from Step 2.
Divide Step 3 by the number of measurements.
Mean Error (ME) is calculated by adding the variances and dividing the result by n. An error in this sense is an uncertainty in a measurement, or the discrepancy between the measured value and the true/correct value.
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What is a real value of x?
Answer:
X is a variable, the value depends on the equation
8. The speed of an object can be found by taking the distance it travels and dividing it by the
time it takes to travel that distance. An object travels 100 feet in 2.5 seconds Let the speed, be
measured in fleet per second. Write an equation to represent the relationship between the three
quantities (speed, distance, and time).
Speed of object = 40 feet per second
What is speed and its formula?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.Based on the distance travelled in a certain amount of time. These automobiles can travel at speeds of more than 150 kilometres per hour (km/h). Meters per second (m/s) is the fundamental unit of speed in the metric system.Given data :
Distance cover by object = 100 feetTime taken by object = 2.5 secondsEquation represent speed is s = d/t
Assume;
Speed = S
Time taken = T
Distance cover = D
So,
Speed = Distance / Time
S = D / T
Speed of object = 100 / 2.5
Speed of object = 40 feet per second
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What is the relation between area height and volume?
The relation between area, height and volume is: volume = area * height
In this question we need to find the relation between area height and volume.
the formula for area and volume are based on height:
volume = base area * height
Let v represents the volume, A represents area and h represents the height.
V = A * h
As we know the volume of rectangular prism is:
volume = length * width * height
i.e., V = l * w * h
and the base area is:
area = length * width
i.e., A = l * w
Substitute A = l * w in V = l * w * h
Then we get, V = A * h
Therefore, the relation between area, height and volume is: V = A * h i.e., volume = area * height
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Samuel is folding his laundry. The table shows the proportional relationship between the number of shirts he folds and the time, in minutes, it takes him to fold them.
Number of Shirts 3 9 ?
Time (minutes) 0.5 1.5 5
How many shirts can Samuel fold in 5 minutes?
12 shirts
15 shirts
20 shirts
30 shirts
Answer:
30 shirts
Step-by-step explanation:
What we know:
30 seconds = 3 shirts
1 minute 30 seconds = 9 shirts
30 seconds per each 3 shirts
shirts: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5
Answer:
30 shirts
Step-by-step explanation:
Find the missing measures in the parallelogram given below. Also, state the property used.
Answer:
see explanation
Step-by-step explanation:
AD = BC = 8 ( opposite sides of a parallelogram are congruent )
DC = AB = 15 ( opposite sides of a parallelogram are congruent )
Consecutive angles in a parallelogram are supplementary , sum to 180° , so
∠ A + ∠ D = 180° , that is
∠ A + 68° = 180° ( subtract 68° from both sides )
∠ A = 112°
the opposite angles of a parallelogram are congruent , then
∠ B = ∠ D = 68° , and
∠ C = ∠ A = 112°
dr. yung tests a new anti-malaria drug in an asian population and concludes that he cannot reject the null hypothesis, and must conclude he does not have sufficient evidence to conclude that the drug works. in reality, the drug does work. dr. yung has committed a error. group of answer choices logical type i (false positive) type ii (false negative) statistical
Dr. Yung has committed a type l ( false positive) error.
What is a type I error?Rejecting a null hypothesis that is actually true in the population results in a type I error (false-positive); failing to reject a null hypothesis that is actually false in the population results in a type II error (false-negative).
A type I error occurs when a null hypothesis that is actually true is mistakenly rejected during statistical hypothesis testing (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"),
Therefore, the error is a type 1 error.
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What is the median of 25 and 25?
Here, 25 and 25 are both middle numbers we can average them to get the median, which is 25.
The median of the data is given by the middle number which is obtained after arranging all the data in a certain order.
For example, we have numbers 1,2,3,4 and 5 which is a data of five data points.
Now, here if we see that two numbers are to the left of 3 and two numbers are to the right of 3, therefore the median of this data is 3.
In higher standards, the formulae of median are given by -
Divide the number of observations by two.
Now here arise two cases -
1. If there are an odd number of observations, round that number up, and the value in that position is the median.
2. If the number of observations is even, take the average of the values found above and below that position.
So, in a similar manner the median here is given by 25.
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This year, Ken paid $1,611 for season tickets to his favorite baseball team, which is 10% cheaper than last year. What was the price of season tickets last year?
Answer:
$1772.10
Step-by-step explanation:
10% = 0.1
Take 1611 times 0.1 = $161.10
So, the 10% cheaper is $161.10
We add both numbers to find the price of last year's season ticket!
1611 + 161.10 = $1772.10
So, the price of last year season's ticket is $1772.10
Let's check to see if it is correct!
$1772.10 - $161.10 = $1611
So, my answer is correct!
Answer:
$1,790
Step-by-step explanation:
x -.1x = 1611 Combine like terms
.9x = 1611 Divide both sides by .9
x = 1790
Check:
1790 - .1(1790) = 1611
1790 - 179 = 1611
1611 = 1611
Which equation is the inverse of y x2?
The inverse of function y = x² is ±√x .
What is the inverse of a function?A function from a set X to a set Y assigns exactly one element of Y to each element of X.An inverse function is one that "undoes" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f⁻¹ .Given equation,
y = x²
We have to find the inverse.
By interchanging x and y variables,
y² = x
Solve this equation for y now. This is the inverse of this function.
Take the square root of both sides.
y = ±√x
Then the inverse of the function given is :
f⁻¹(x) = ±√x
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Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Complete each of the 2 activities for this Task.
Activity 1 of 2
Find the value of c(7).
In the equation c(n) = 50+4n, the value of c(7) is equal to 78.
What is a function?Absolutely one element of Y is assigned to every element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively.
Al-Biruni and Sharaf al-Din al-Tusi were two Persian mathematicians who developed the earliest known approach to function and its concept. The basic conception of functions was the relationship between fluctuating quantities and other variables. An illustration of this is how time affects a planet's position. In the past, the idea was developed with the infinitesimal calculus around the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable.
This is how the function is defined:
The equation c(n) = 50+4n defines function c, and n is the number of visits.
The function displays the cost in USD per month.
Thus, the following formula can be used to get the value of c(7):
c(7) = 50+4n
c(7) = 50+4(7)
= 50+28
=78
Therefore, c(7)=78
So, the value of c(7)=78.
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What are the roots of the quadratic equation x2 − 16 0?
The roots of a quadratic equation are the values of x that make the equation equal to 0.
The general form of a quadratic equation is [tex]ax^2[/tex] + bx + c = 0, where a, b, and c are constants.
To find the roots of the equation [tex]ax^2[/tex] - 16 = 0, we can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac))/(2a)
In this case, a = 1, b = 0, and c = -16. Plugging these values into the quadratic formula, we get:
x = (-0 +/- sqrt(0^2 - 41(-16)))/(2*1)
x = (-0 +/- sqrt(256))/(2)
x = (-0 +/- 16)/(2)
The roots of the equation are x = 8 and x = -8.
The complete question is:-
What are the roots of the quadratic equation x2 − 16 =0?
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