Answer:
18.75.
Step-by-step explanation:
If he already owes his mother 12.25 and borrows 6.50, we can add those numbers up to get the total amount of how much he owes his mother.
12.25 + 6.50 = 18.75
Therefore, Joseph's debt to his mother can be represented using the equation above.
To increase usability in a spreadsheet, use comments, descriptive labels and?
To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.
To increase usability in a spreadsheet, you can utilize the following techniques:
1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.
2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.
3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.
4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.
5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.
6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.
7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.
By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.
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Create an arithmetic sequence with a common difference of -10
Answer:
0, -10, -20, -30, -40, -50, ..., -10(n-1)
Step-by-step explanation:
An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten. If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence. The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.
Jade is looking up at her apartment building while lying down in the
park across the street. She knows her building is 733 ft tall and she
estimates she is looking up at a 34 degree angle. How far is she from
the building?
Jade is approximately 1094 feet away from the base of the building.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is particularly concerned with the study of the properties of triangles involving lengths of sides and measures of angles. Trigonometry is used to solve many real-world problems involving distance, height, and angles, including those in engineering, physics, astronomy, and navigation. It is also used in various fields of science and mathematics, such as calculus, geometry, and algebra. Some of the key concepts in trigonometry include the sine, cosine, tangent functions, and the Pythagorean theorem.
In the given question,
We can use trigonometry to solve this problem. Let x be the distance from Jade to the base of the building. Then, we can use the tangent function to relate the angle and distance:
tan(34°) = 733 / x
Solving for x, we get:
x = 733 / tan(34°)
Using a calculator to evaluate the tangent of 34 degrees, we get:
tan(34°) ≈ 0.67
Substituting this value into the equation above, we get:
x ≈ 733 / 0.67 ≈ 1094.0
Therefore, Jade is approximately 1094 feet away from the base of the building.
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what is the sqr of 7-2sqrtof10
It is to be noted that the square root of 7-2√10 is √5-√2. See the explanation below.
What is the square of a number?It is to be noted that square root, in mathematics, refers to a factor of a number which when multiplied by itself, results in the original number. For example, both 3 and –3 are square roots of 9.
Hence the solution to the above expression or problem is given as stated below:
7-2√10 = 5 + 2 - 2 2√10
= (√5)² + (√2)² - 2(√5)(√2)
Hence
7-2√10 = (√5 - √2)²
√(7-2√10) = √5 - √2
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When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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lily's car has a fuel efficiency of 8 88 liters per 100 100100 kilometers. what is the fuel efficiency of lily's car in kilometers per liter?
The fuel consumption per liter of Lilly's car is 12.5 kilometers per liter .
Average mileage The average mileage of a vehicle is the ratio of the distance traveled by the vehicle and the total amount of fuel used for that distance.
You can specify:
where (d) is the distance traveled and (n) is the fuel consumption.
Lily's car consumes 8 liters per 100km. This is your car's mileage or efficiency.
average mileage = 100/8 = 12.5 kilometers per liter
Therefore, the fuel efficiency in kilometers per liter of a Lily car with a fuel efficiency of 8 liters per 100 kilometers is 12.5 kilometers per liter.
Complete Question - Lily’s car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily’s car in kilometers per liter ?
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How many cents does it take to get to 3.51
Answer: 351 cents
Step-by-step explanation:
(assuming 3.51=$3.51)
there are 100 cents per dollar.
3.51x100 = 351
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
Therefore , the solution of the given problem of equation comes out to be circle's radius is three and a half units, and its center is at the coordinates (2, 3).
What is equation?Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization yields b + 7, as opposed to another algorithm that divides 12 into two components and can assess data from y + 7, which creates y + 7.
Here,
A circle's standard form solution is:
=> (x - h))² + (y - k))² = r)²
.To reformat the circle equation provided in standard form:
=> 7x)² - 28x + 7y)² + 42y = 35
=> 7(x)² - 4x) + 7y)² + 42y = 35
=> 7(x)² - 4x + 4) + 7y)² + 42y = 35 + 28
=> 7(x - 2))² + 7y)² + 42y = 63
=> 7(x - 2))² + 7(y)² + 6y) = 63
=> 7(x - 2))² + 7(y)² + 6y + 9) = 63 + 63
=> 7(x - 2))² + 7(y + 3))² = 126
=> (x - 2)² + (y + 3))² = 18
So, (x - 2)2 + (y + 3)2 = 18 is the equation of this circle in standard notation.
The circle's radius is three and a half units, and its center is at the coordinates (2, 3).
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What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line
what is 5.885 rounded to the nearest hundreth
\([Hello,BrainlyUser]\)
Answer:
5.89
Step-by-step explanation:
To round 5.885 to the nearest hundredth consider the thousandths’ value of 5.885, which is 5 and equal or more than 5. Therefore, the hundredths value of 5.885 increases by 1 to 9.
5.885 rounded to the nearest hundredth = 5.89
\([CloudBreeze]\)
Answer: 5.885 rounded to the nearest hundredth = 5.89
Step-by-step explanation: To round 5.885 to the nearest hundredth consider the thousandths’ value of 5.885, which is 5 and equal or more than 5. Therefore, the hundredths value of 5.885 increases by 1 to 9.
Solve these questions
Answer: 36
Step-by-step explanation: Since the sum of the angles in a triangle is 180 degrees, we can set up an equation:
x + 2x + 2x = 180
Simplifying the equation, we get:
5x = 180
Dividing both sides by 5, we get:
x = 36
Therefore, the value of x is 36 degrees.
Answer:
look at the photo.........................
the frequency distribution below summarizes the home sale prices in the city of summerhill for the month of june. determine the class midpoint for class 235.0-265.9.
The class midpoint for the class 235.0-265.9 is 250.45.
The class midpoint for the class 235.0-265.9 in the frequency distribution can be determined by finding the average of the lower class limit and the upper class limit.
In this case, the lower class limit is 235.0 and the upper class limit is 265.9. To find the class midpoint, we add the lower class limit and the upper class limit and then divide the sum by 2.
Class midpoint = (lower class limit + upper class limit) / 2
For the class 235.0-265.9:
Class midpoint = (235.0 + 265.9) / 2
Class midpoint = 500.9 / 2
Class midpoint = 250.45
Therefore, the class midpoint for the class 235.0-265.9 is 250.45.
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In single-factor experiments, if Στ. = 0 i=1 where T, resembles the effect of the ith level, then Ti all treatment means must be equal. Select one: True False
True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.
In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.
In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.
The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.
If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.
If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.
Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.
Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.
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HELP ASPPP PLEASESSSS BEFORE 11:59
3
4
5
TIMER
2€
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
Of(x) = -3x - 6
Of(x) = -3x - 4
Of(x) = -3x + 16
Of(x) = -3x + 14
Answer:
5
Step-by-step explanation:
\(f(x) = - 3x + 16\)
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
Step-by-step explanation:
128 marbles
First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.
To prove just simplify
3/8=48/128
3/8=3/8
Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.
x −1 3 5
P(X=x)P(X=x) 0.05 0.38 0.57
Answer
2 Points
Keypad
Tables
First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.
The distribution is a discrete probability distribution because the sum equals 1.
To determine whether or not the distribution is a discrete probability distribution, we need to check if the probabilities sum up to 1 and if all the probabilities are non-negative for every possible value of X. Also, the values of X must be countable.
Here, the given table represents the probability distribution of a discrete random variable X. Therefore, it is a discrete probability distribution.
The sum of probabilities is:
P(X = −1) + P(X = 3) + P(X = 5) = 0.05 + 0.38 + 0.57 = 1
and all the probabilities are non-negative.
Therefore, the distribution is a discrete probability distribution.
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1. Square the binomial (p + q). What is the result?
Op²+q²
Op²+2pq+q²
Op² + pq+q²
2p+2q
Answer: p²+2pq+q²
Step-by-step explanation:
squaring a binomial works like this:
(p+q)² = (p+q)(p+q)
try the FOIL method: multiply the first, outside, inside, and last numbers/variables to distribute properly
F: (p)(p) = p²
O: (p)(q) = pq
I: (q)(p) = pq
L: (q)(q) = q²
then add them all together
q²+pq+pq+q²
and combine like (identical) terms
q²+2pq+q²
it's 2pq because they're being added, not multiplied.
hope this helps!
Elena gives the following sequence of transformations to show that the two figures are similar by transforming into.
Dilate using center and scale factor 2.
Reflect using the line.
Is Elena’s method correct?
Group of answer choices
True
False
If the two figures are not related by a dilation with center and scale factor
of 2, followed by a reflection over a line, then Elena's method is not correct. therefore given statement is false.
Elena is claiming that they are similar, and she has shown this by
transforming one figure into the other through a dilation with center and
scale factor of 2, followed by a reflection over a line.
If this is the case, then Elena's method is correct if and only if the two
figures are related by a dilation with center and scale factor of 2,
followed by a reflection over a line.
A dilation with center and scale factor of 2 will result in a figure that is
twice as large as the original figure, with corresponding sides multiplied
by a factor of 2. If the dilation is followed by a reflection over a line, then
the resulting figure will be similar to the original figure, with
corresponding angles equal and corresponding sides proportional.
However, In general, two figures are similar if and only if their
corresponding angles are equal and their corresponding sides are
proportional.
There are many ways to show that two figures are similar, including using
transformations such as dilation and reflection, but the specific
transformations used must be appropriate for the figures in question.
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Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Perpendicular to Chord Property
Answer to Question 1:
<OGE (also m˚) = 19˚
Step-by-step explanation:
We know that all the angles in a triangle add up to 180˚.
Given:
<EGO = 71˚
<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)
To Solve:
⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:
71˚ + 90˚ + <OGE = 180˚
⇒ Solve for <OGE by simplifying:
161˚ + <OGE = 180˚
⇒ Subtract 161˚ from both sides to get:
161˚ − 161˚ + <OGE = 180˚ − 161˚
⇒ Isolate <OGE:
<OGE = 19˚
Answer: <OGE (also m˚) = 19˚
Answer:
<OAC (also x˚) = 50˚
<OCB (also y˚) = 90˚
Step-by-step explanation:
–How to solve for <OCB (also y˚)
Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.
Answer: <OCB (also y˚) = 90˚
–How to solve for <OAC (also x˚)
Given (and what we can already know):
<AOC = 40˚
<OCA = 90˚
⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.
To Solve:
⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:
40˚ + 90˚ + <OAC = 180˚
⇒ Solve for <OAC by simplifying:
130˚ + <OAC = 180˚
⇒ Subtract 130˚ from both sides to get:
130˚ − 130˚ + <OAC = 180˚ − 130˚
⇒ Isolate <OAC:
<OAC = 50˚
Answer: <OAC (also x˚) = 50˚
I hope you understand and that this helps with your question! :)
Find the arc length of the curve segment x=18ln(y)−y^2 from y=1 to y=2. the length is
The arc length of the curve segment x=18ln(y)−y^2 from y=1 to y=2 is 14.46.
To find the arc length, we need to calculate the integral of the function from y=1 to y=2. Thus, the arc length is given by:
Arc Length = ∫12√(1+(18ln(y)-y2)2) dy
After solving the integral, the arc length is 14.46.
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If you want the diagonal, d, to be at least 41. 5 inches, what would be a possible length, width, and height for the box?.
The length, width, and height of the box is 23 inches, 24 inches, and 25 inches.
The desired length of the diagonal of the box d ≥ 41.5 inches
The length of the box = l
The width of the box = w
The height of the box = h
The formula for the diagonal of the box, obtained using the Pythagorean Theorem is:
d = \(\sqrt[]{l^{2}+w^{2}+h^{2} }\)
So, the square of the diagonal of the box, d² ≥ 41.5² = 1722.25
\(d^{2} = l^{2} + w^{2} + h^{2}\)
l² + w² + h² ≥ 1722.25
Since,20² = 400
21² = 441
22² = 484
23² = 529
24² = 576
25² = 625
26² = 676
27² = 729
Hence, 23² + 24² + 25² = 1730 > 1722.25
20² + 20² + 27² = 1529 < 1722.25
21² + 24² + 26² = 1693 < 1722.25
20² + 21² + 26² = 1517 < 1722.25
So, the box's possible length is 23 inches.
width is 24 inches.
and height is 25 inches.
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The perimeter of an equilateral triangle is 4 inches more than the perimeter of the square, and the side of the triangle is 5 inches longer than the side of the square. Find the side length of the square and triangle
Answer:
i think the answers 10
Step-by-step explanation:
Frequency
10
8
6
2
0
Heights of Black Cherry Trees
60-64
65-69
70-74
Height (feet)
75-79
80-84
85-89
What percent of the
trees sampled were
less than 75 feet tall?
(Round to the nearest
percent.)
The percent of the trees sampled that were less than 75 feet tall is: 45.2%
How to Interpret the Histogram?The class width in a histogram is defined as the difference between the lower limits of two consecutive classes or the upper limits of two consecutive classes.
Now, the total frequencies of appearance of the class widths is:
Total = 3 + 3 + 8 + 10 + 5 + 2
Total = 31
Now, from the class widths, the total number that have height less than 75 ft tall is: 3 + 3 + 8 = 14
Thus:
The percent of the trees sampled that were less than 75 feet tall = 14/31 * 100% = 45.2%
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Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
A 6-column table with 3 rows. Column 1 has entries A, B, C. Column 2 is labeled Minimum Balance with entries 500 dollars, 250 dollars, 50 dollars. Column 3 is labeled Interest with entries 0.1 percent, 0 percent, 0 percent. Column 4 is labeled Overdraft protection with entries yes, no, no. Column 5 is labeled A T M Fees with entries 0 dollars for all A T M s, 0 dollars for A B C banks A T M s, 2 dollars per transaction. Column 6 is labeled Monthly Fee with entries 5 dollars, 10 dollars, 0 dollars with direct deposit.
Bryna should choose account
.
Answer:
Its C On Edge Just Took The Quiz
Step-by-step
Answer:
c
Step-by-step explanation:
took quiz 100%
Daily demand for tomato sauce at Mama Rosa's Best Pasta restaurant is normally distributed with a mean of 120 quarts and a standard deviation of 50 quarts. Mama Rosa purchases the sauce from a wholesaler who charges $1 per quart. The wholesaler charges a $50 delivery charge independent of order size. It takes 5 days for an order to be supplied. Mama Rosa has a walk-in cooler big enough to hold all reasonable quantities of tomato sauce; its operating expenses may be fixed. The opportunity cost of capital to Mama Rosa is estimated to be 20% per year. Assume 360 days/year.
a) What is the optimal order size for tomato sauce for Mama Rosa?
b) How much safety stock should she keep so that the chance of a stock-out in any
order cycle is 2%? What is the reorder point at which she should order more tomato sauce?
To determine the optimal order size for tomato sauce for Mama Rosa, we need to use the economic order quantity (EOQ) formula. This formula is given as:
Economic Order Quantity (EOQ) = sqrt(2DS/H)
Where: D = Annual demand
S = Cost per order
H = Holding cost per unit per year
Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders. For Mama Rosa's tomato sauce ordering:
D = 360*120
= 43,200 Cost per order,
S = $50 Holding cost per unit per year,
H = 20% of
$1 = $0.20 Substituting the values in the EOQ formula,
we get: EOQ = sqrt(2*43,200*50/0.20)
= sqrt(21,600,000)
= 4,647.98 Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.
LT = Lead time
V = Variability of demand during lead time Lead time is given as 5 days and variability of demand is the standard deviation, which is given as 50 quarts.
To determine the reorder point, we Using the z-score table, the z-score for a 2% service level is 2.05. Substituting the values in the safety stock formula. use the formula: Reorder point = (Average daily usage during lead time x Lead time) + Safety stock Average daily usage during lead time is the mean, which is given as 120 quarts. Substituting the values in the reorder point formula, we get: Reorder point = 622.9 quarts Therefore, Mama Rosa should order tomato sauce when her stock level reaches 622.9 quarts.
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URGENT HELP NO LINKS OR I REPORT Jenna is at the county fair. A ride on the roller coaster requires 3 tickets and a ride on the Ferris wheel requires 2 tickets. Jenna has enough money to purchase a maximum of 36 tickets.
Let x represent the number of roller coaster rides that Jenna takes, and let y represent the number of Ferris wheel rides that Jenna takes.
One of the graphs below shows the inequality that represents this situation, with its solution region shaded.
Answer the following questions.
Which graph shows the inequality that represents this situation with the solution region shaded in?
Will Jenna be able to take 4 roller coaster rides and 10 Ferris wheel rides?
because the point (4,10) lies the solution region.
Answer:
Graph b, yes, inside
Step-by-step explanation:
Answer:
Graph b, yes, inside
Step-by-step explanation:
i took the test
how to find square root
Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:
Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.
Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.
Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.
It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
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please hurry!! A function, g(x), is shown below. It is a shifted graph of y = |x|. Choose the equation for g(x) that matches the graph shown. y 4 X
o g(x) = -x - 3| +3
o g(x) = -3|ax| +3
o g(x) = x - 3| +3
o g(x) = 3x - 3|
The equation for g(x) that matches the graph is g(x) =| -x - 3| +3
What is a graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that function, g(x), is shown below. It is a shifted graph of y = |x|.
The vertex of the square root function f(x) = √x is located at (0, 0). In the given graph, it has moved to (2, 4). The vertical and horizontal scale factors remain unchanged.
The equation for g(x) is g(x) =| -x - 3| +3
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What is 7 to the power of two?