Squaring a number implies increasing it by itself. In case the number being squared is negative, the result will continuously be positive. Increasing a number by 2 implies multiplying it, which is not linked to squaring a number.
What is the number about?To square a number, one must raise it to the power of two, that is different from carrying out its multiplication with itself. One way of squaring a value is shown by taking the number 3 and raising it to the power of 2.
3² = 3 x 3 = 9
By the same way , if we raise -2 to the power of 2, the result will be a positive value of four.
Raising numbers to the power of two is a frequent mathematical procedure use in numerous academic fields such as algebra, geometry, physics, and statistics.
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A circle is represented by the equation (x + 6)2 + (y − 3)2= 121.
Which of the following statements is true?
Group of answer choices
The circle is centered at (−6, 3) and has a radius of 11.
The circle is centered at (−6, 3) and has a diameter of 11.
The circle is centered at (6, −3) and has a diameter of 11.
The circle is centered at (6, −3) and has a radius of 11.
The statement that is true about the given circle equation is:
Option A: The circle is centered at (−6, 3) and has a radius of 11.
How to find the equation of a circle?The standard form for finding the equation of a circle is given by the expression:
(x - h)² + (y - k)² = r²
where:
(h, k) represents the coordinates of the center of circle
r represents the radius of the circle
We are given the equation of the circle as:
(x - 6)² + (y - 3)² = 121
Now, 121 can also be written as 11². Thus, the equation of the circle can be rewritten as:
(x - 6)² + (y - 3)² = 11²
Comparing with the standard form of equation of a circle gives:
Coordinates of center = (-6, 3)
Radius = 11
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Shane has 2 white shirts, 2 blue ones and 1 red one, He has gray pants and black pants. He hung them all up on hangers in his closet, but one shirt and a pair of pants fell on the floor. The probability that a red shirt and black slacks are on the floor is
The probability that a red shirt and black slacks are on the floor is 1/10.
What is the probability?Probability is the odds that a random event would happen. The odds that the event would happen has a probability value that lies between 0 and 1.
Probability that a red shirt and black slacks are on the floor = (number of red shirts / total number of shirts) x (number of black slacks / total number of slacks)
Total number of shirts = 2 + 2 + 1 = 5
Total number of slacks = 1 + 1 = 2
(1/5) x (1/2) = 1 /1 0
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Which statement concerning the equation x² - 1 = x is true?
Its discriminant is 0, so it has no solution.
Its discriminant is 5, so it has two real solutions.
Its discriminant is 0, so it has one real solution.
Its discriminant is -3, so it has two complex solutions.
The quadratic equation is solved and discriminant is 5, so it has two real solutions
Given data ,
The given equation is a quadratic equation in the standard form ax² + bx + c = 0, where a = 1, b = -1, and c = -1
The discriminant of a quadratic equation is given by b² - 4ac. So, the discriminant of the given equation is
(-1)² - 4(1)(-1) = 1 + 4 = 5
Since the discriminant is positive (not zero or negative), the equation has two real solutions.
Hence , its discriminant is 5, so it has two real solutions
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Help with math problems
Step-by-step explanation:
Please it would be very helpful and useful if you try to use a calculator. Good luck.
The number of meters a student swam this week are listed.
200, 450, 600, 650, 700, 800
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability and equals 600.
The IQR is the best measure of variability and equals 250.
The mean is the best measure of variability and equals about 567.
The median is the best measure of variability and equals 625.
The appropriate measure of variability for the data shown and its value is A. The range is the best measure of variability and equals 600.
What is the range?The range is one of the three measures of variability.
The range shows the difference between the highest value and the lowest value in a data set.
The other measures of variability are the IQR (Interquartile Range) and the the Standard Deviation.
Range:Highest value = 800 m
Lowest value = 200 m
The range = 600 m (800 - 200)
IQR = 400 (600 - 200)
Mean = 567 (3,400 ÷ 6)
Median = 625 [(650 + 600) ÷ 2]
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Keyboard A Keyboard B Keyboard C
Person
Person Totals (P) Overall
M = 1 M = 5 M = 6 A 6 N = 15
SS = 8 SS = 22 SS = 10 B 9 G = 60
C 18
D 12 k = 3
E 15
n = 5
Complete all calculations for the ANOVA Summary Table:
SS total, SS within, SS between treatments, SS between subjects, and SS error
df total, df within, df between treatments, df between subjects, and df error
MS between treatments and MS error
the F ratio
Then:
Find critical value for F based on df between treatments and df error, and decide if F ratio is significant or not.
Tukey's HSD is 2.0. Determine which keyboards are significantly different from one another in the number of errors people make and summarize the results.
Keyboards A and B are significantly different from one another
How to explain the informationThe F ratio has been found to be 4.30, equating to the MS between treatments divided by MS error resulting in a value of 2082/484. In order to seek out the critical value for F at an alpha level of 0.05 within degrees of freedom between treatments (2) and degrees of freedom error (3), we must consult the F-table, revealing it to be 5.14.
We reach the conclusion that rejecting the null hypothesis would not prove necessary as there appears to be no great significance when it comes down to the number of errors made with the three concerned keyboards.
Tukey's HSD signifies 2.0, indicating any distinction of means exceeding such scores is considered noteworthy. Calculating pairwise comparisons can enlighten us as to which keyboards are significant from one another:
Comparing Keyboard A versus Keyboard B: The difference was calculated using |25-6| / ✓(484/6*(1/6+1/6)) = 3.03, determining its significance surpassing Tukey's HSD (2.0).
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) In the figure below, two secants are drawn to a circle from exterior point U.
Suppose that UW=40, UY=64, and UX= 8. Find UZ.
U
Applying the Intersecting Secants and Tangents Theorem, the measures are: CD = 19.5 units; UZ = 12.8 units
How to Apply the Intersecting Secants and Tangents Theorem?a. Apply the intersecting secant-tangent theorem to create the equation below:
EG² = EC * ED
Plug in the values:
13² = 6.5 * (6.5 + CD)
169 = 42.25 + 6.5CD
169 - 42.25 = 6.5CD
126.75/6.5 = CD
CD = 19.5 units
b. Apply the intersecting secants theorem to create the equation below:
UX * UY = UZ * UW
Plug in the values:
8 * 64 = UZ * 40
512/40 = UZ
UZ = 12.8
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Answer please!!! Will be very thankful
The estimate of the cost for a 20-ft cord is given as follows:
$74.66.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in the context of the problem are given as follows:
(3, 12.75), (5, 16), (6, 25.99), (50, 185).
Inserting these points into a calculator, the regression equation is given as follows:
y = 3.6794x + 1.06462.
Hence the estimate of the cost for a 20-ft cord is given as follows:
y = 3.6794(20) + 1.06462
y = $74.66.
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Among the products of a company, brand A has 40% of the market share. A market research firm finds that if a person uses brand A, the probability that he/she will be using it again next year is 30%. On the other hand if a person is not using the product at present, the probability that he/she will be using it next year is 60%. Required: a) Find the transition matrix. b) Find the percentage of the market share that brand A gets after two years. c) Want percentage of the market share will be handled by brand A on the long run, if the transition matrix does not change?
a) The transition matrix is [tex]\left[\begin{array}{ccc} 0.3&0.7 \\ 0.6&0.4\end{array}\right][/tex]
b) After two years, brand A is expected to have 40.4% of the market share.
c) Brand A is expected to have 37.5% of the market share.
a) The transition matrix can be constructed using the probabilities provided in the problem. Let P be the matrix where the (i, j)-th entry represents the probability of transitioning from state i to state j. In this case, there are two states: using brand A (state 1) and not using brand A (state 2).
Using the information given in the problem, we can fill in the entries of the matrix as follows:
P = [tex]\left[\begin{array}{ccc} 0.3&0.7 \\ 0.6&0.4\end{array}\right][/tex]
b) To find the percentage of the market share that brand A gets after two years, we need to multiply the initial market share vector (40% for brand A and 60% for other brands) by the transition matrix twice:
| 0.4 0.6 | × P × P = | 0.404 0.596 |
Therefore, after two years, brand A is expected to have 40.4% of the market share.
c) To find the long-run market share for brand A, we need to find the steady-state vector of the transition matrix P. This is the vector π such that:
πP = π
and
π ₁+ π₂ = 1
where π₁ is the long-run probability of being in state 1 (using brand A) and π₂ is the long-run probability of being in state 2 (not using brand A).
Solving the equations above, we get:
π = | 0.375 0.625 |
This means that in the long run, brand A is expected to have 37.5% of the market share.
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Consider the bridge shown. Use the figure and the fact that AGC is congruent to EGC to complete parts (a) through (e). Round each answer to the nearest tenth
Therefore, the width of the bridge is approximately 5.9 feet. Therefore, the height of the bridge is approximately 8.4 feet. Therefore, the length of CH is approximately 36.9 feet. Therefore, the measure of angle BHC is approximately 189 degrees. Therefore, the answer to part (e) is no.
What is triangle?A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry, and is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and there are several types of triangles including equilateral, isosceles, and scalene.
Here,
To solve this problem, we will use the fact that AAGC is congruent to AEGC. This means that angle ACG is equal to angle AEC, and angle AGC is equal to angle AEG.
(a) To determine the width AE of the bridge, we can use the tangent function. We have:
tan(27°) = AE/12
Solving for AE, we get:
AE = 12 tan(27°) ≈ 5.9 ft
(b) To determine the height CG of the bridge, we can use the same approach. We have:
tan(36°) = CG/12
Solving for CG, we get:
CG = 12 tan(36°) ≈ 8.4 ft
(c) To determine the length of CH, we can use the Pythagorean theorem. We have:
CH² = CG² + GH²
Substituting the values we found earlier, we get:
CH² = (8.4 ft)² + (40 ft - 5.9 ft)²
CH² = 70.56 ft² + 1288.41 ft²
CH² = 1358.97 ft²
Taking the square root, we get:
CH ≈ 36.9 ft
(d) To determine the measure of angle BHC, we can use the fact that angles AGC and AEG are congruent. We have:
angle BHC = 180° - angle AHC - angle CHB
angle AHC = angle ACG - angle HCG = 27° - 36° = -9° (note that this is a negative angle because it is measured clockwise)
angle CHB = angle CGB - angle HCG = 36° - 36° = 0°
Substituting these values, we get:
angle BHC = 180° - (-9°) - 0°
angle BHC = 189°
(e) To determine whether CH bisects angle ZACG, we need to show that angle CAH is congruent to angle CAG. We have:
angle CAH = 180° - angle HCG - angle ACG
= 180° - 36° - 27°
= 117°
angle CAG = 180° - angle ACG - angle AGC
= 180° - 27° - 27°
= 126°
Since angle CAH is not congruent to angle CAG, we can conclude that CH does not bisect angle ZACG.
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Someone help i really need help with this
The cost of each admission tickets is 37.5 dollars.
How to find the cost in dollars of each admission ticket?Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.
Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:
Therefore,
175 = 4i + 25
subtract 25 from both sides of the equation
175 = 4i + 25
175 - 25 = 4i + 25 - 25
150 = 4i
divide both sides by 4
i = 150 / 4
i = 37.5 dollars
Therefore,
cost of each admission ticket = 37.5 dollars
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The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to solveTo obtain measures of spread, we can use the dot plot to visualize the frequency of each observation in the data-set, and then calculate the interquartile range (IQR).
For a group of 15 students, we can find the quartiles as follows:
The first quartile (Q1) is the median of the first half of the data-set, which consists of the first seven students.
Looking at the dot plot, the fourth dot represents the median of the first half. For Bus 14, Q1 = 12. For Bus 18, Q1 = 9.
The third quartile (Q3) is the median of the second half of the data-set, which consists of the last seven students. Looking at the dot plot, the eleventh dot represents the median of the second half. For Bus 14, Q3 = 18.
For Bus 18, Q3 = 16.
We can then calculate the IQR as the difference between Q3 and Q1:
For Bus 14, IQR = Q3 - Q1 = 18 - 12 = 6.
For Bus 18, IQR = Q3 - Q1 = 16 - 9 = 7.
Based on the IQR values, we can conclude that Bus 14 is more consistent than Bus 18, as it has a lower IQR.
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En un grupo de 60 alumnos, 12 sacaron 10 en el examen de matemáticas. ¿Cuál es el porcentaje de alumnos que sacaron 10?
We can see that the percentage is 20%, then 20 percent of the students got a 10.
Which percentage of the students got a 10?To find this, we need to use the formula:
Percentage = 100%(number of students with a 10)/(total number of students)
Here we know the that the revelant numbers are:
Number of students with a 10 = 12
total number of students in the class = 60
Replacing that in the formula we will get the percentage:
P = 100%*(12/60)
P = 20%
So 20% of the total number of students got a 10.
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natalie has $330mto send at the amusment park of this total amount 5% is soent on games, 5/11 is for food and drinks, and she spends $13 on parking. the rest of her budget is spent on buying a ticket for herself and a friend. what is the price of one ticket
Answer:
Step-by-step explanation:
This is a word problem involving percentages. To solve it, we need to follow these steps:
Identify the given information and the unknown quantity. In this problem, we are given that Natalie has $330 to spend at the amusement park, 5% is spent on games, 5/11 is for food and drinks, and she spends $13 on parking. The unknown quantity is the price of one ticket.
Write an equation that relates the given information and the unknown quantity. We can use the fact that the sum of all parts of the whole is 100%1. Let x be the price of one ticket. Then we have:
games+food and drinks+parking+tickets0.05×330+115×330+13+2x=total amount=330
Solve the equation for the unknown quantity. We can simplify and rearrange the equation to get:
16.5+150+13+2x2x2xxx=330=330−16.5−150−13=150.5=2150.5=75.25
Therefore, the price of one ticket is $75.25.
In a recent test cricket match, Steve made 286 runs in both innings which represented 37% of the team total. How many runs did the team make in the match
The team made approximately 773 runs in the match.
How to find How many runs did the team make in the matchLet's start by setting up an equation to represent the information given in the problem.
Let's call the total runs made by the team "T".
37% of T = 286
To solve for T, we can start by converting the percentage to a decimal:
37% = 0.37
0.37T = 286
Now we can solve for T by dividing both sides of the equation by 0.37:
T = 286 ÷ 0.37
T ≈ 773.0
Therefore, the team made approximately 773 runs in the match.
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College Level Trig Question Please Help!
The solution of the trigonometric problem is y = -3
How is this so ?Starting with the equation
3/2 cos^-1(y/6) = pi
First, we can simplify by dividing both sides by 3/2 ....
cos^-1(y/6) = pi / (3/2)
cos^- 1(y/6) = 2pi / 3
Next, we can take the cosine of both sides to get...
cos (cos^-1(y/6 ) )
= cos( 2pi/3)
y/6 = -1/2
y = -3
Therefore, the exact solution to the equation 3/2 cos^-1(y/6) = pi is y = -3.
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what is 5w–4w–w+6w simplified
The value of the expression 5w–4w–w+6w is 6w
What is simplification of expression?When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.
For example, 2( 3a+5) can be simplified by using 2 to multiply both 3a and 5. This will give 6a+10. This means that the simplification of 2(3a+5) = 6a+10.
Similar , 5w-4w-w+6w can be simplified into:
5w+6w-4w-w
= 11w-5w
= 6w.
Therefore,the value of the expression 5w–4w–w+6w is 6w
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50 Points! Solve each equation or inequality. Only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41 and the solution to the inequality is b ≤ 1.87
Solving the equations or inequalities for wFrom the question, we have the following parameters that can be used in our computation:
5ʷ ⁺ ³ = 17
Take the logarithm of both sides
So, we have
w + 3 = ln(17)/ln(3)
Evaluate the quotient
This gives
w + 3 = 2.59
So, we have
-3 + w + 3 = 2.59 - 3
Evaluate
w = 0.41
For the second expression, we have
2ᵇ ⁺ ¹ ≤ 7.31
Take the logarithm of both sides
So, we have
b ≤ ln(7.31)/ln(2) - 1
So, we have
b ≤ 1.87
Hence, the equation when solved for w is approximately w = 0.41
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consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?
Sum
Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10
Mean = 36.7 / 10
Mean = 3.67
To find the median, we need to put the values in order:
2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4
The middle number is the median, which is 3.35 in this case (3.2+3.5)/2.
To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.
To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:
2.5, 2.6, 2.8, 3.1, 3.2
The median of this lower half is 2.8, so Q1 = 2.8.
To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:
3.7, 3.8, 4.1, 9.4
The median of this upper half is 3.95, so Q3 = 3.95.
To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 3.95 - 2.8
IQR = 1.15
1.5 times the IQR is 1.5 * 1.15 = 1.725.
The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.
Answer:
Step-by-step explanation:
Mean is the average of the data vales : 38.7 (sum of all values) divided by 10 (the number of values). Mean = 38.7/10 = 3.87
Median is the "middle" number" = put the date in order and find the middle value:
2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4, since there is no middle data value, find the average of the 2 in the middle.
3.2 + 3.5/2 = 6.7 ÷ 2 = 3.35 - median
All values appear once so there is no mode.
First quartile is the middle of the lower set of data = 2.8
Third quartile is the middle of the upper set = 3.8
The outlier is 9.4.
How to calculate the outlier:
First you need the IQR which is the diffence of Q3 - Q1,
so the IQR is 3.8- 2.8 = 1
Outliers are the quartile + or - (1.5)(IQR)
Q1 -(1.5)(1) = 2.8 - 1.5 = 1.3
Q3 - (1.5)(1)= 3.8 + 1.5 =4.5
So anything below 1.3 or above 4.5 is an outlier.
There is one 9.4
3 1/2 be classified as integer
Answer:
False.
Step-by-step explanation:
A integer in math is defined as a whole number. Therefore, the presence of fractions (which, in this case, is 1/2) and decimals, would mean that the term is in fact, not a integer.
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4. Which of the following has the best price per unit?
Brand A $5.00 for 2
Brand C $7.00 for 7
Brand B $6.00 for 3
Brand C $8.00 for 3
The sum of matrix A and B where B is the identity matrix with respect to addition will give the matrix.
Select one:
Matrix A
Matrix 0
Matrix B
Matrix AB
The sum of any matrix with the identity matrix of the same size, with respect to addition, will give the matrix itself. Therefore, the sum of matrix A and B, where B is the identity matrix, will give the matrix A.
So the answer is: Matrix A.I have 2 questions
1. my final for one of my classes is 150 points and I need to score at least a 53.16% on the final exam, how many points of the overall 150 would I need to get correct.
2. for my other final it is worth 200 points and I need to score at least a 44.45% on the final exam, how many points of the overall 200 would I need to get correct.
Smart Kitchen sells chocolate nonpareils in 8 oz. containers. Because the candy pieces are not uniform, the weight of each individual container varies slightly. A random sample of nine containers was weighed on a precision scale and the results are shown below:
8.09
8.20
8.03
7.86
7.87
8.06
8.43
7.99
8.08
Determine the interquartile range for this sample. Are there any outliers in this data set?
The interquartile range of the data will be 0.215.
How to calculate the valueThe lower half is:
7.86, 7.87, 7.99, 8.03
The median of the lower half is:
(Q1) = (7.87 + 7.99) / 2 = 7.93
The upper half is:
8.06, 8.08, 8.09, 8.20, 8.43
The median of the upper half is:
(Q3) = (8.09 + 8.20) / 2 = 8.145
The IQR is the difference between the third and first quartiles:
IQR = Q3 - Q1 = 8.145 - 7.93 = 0.215
Lower outlier threshold: Q1 - 1.5 x IQR = 7.93 - 1.5 x 0.215 = 7.5955
Upper outlier threshold: Q3 + 1.5 x IQR = 8.145 + 1.5 x 0.215 = 8.4795
None of the data points fall outside these thresholds, so there are no outliers in this data set.
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solve for x, neg x over 4 = 12
Riley runs a stable that boards a range of horses.
white 3
bay 2
palomino 9
black 1
Considering this data, how many of the next 20 horses that come to board should you expect to be white horses?
_____ white horses
we should expect 4 white horses among the next 20 horses that come to board. we can solve by equation .
what is equation ?
An equation is a mathematical statement that uses symbols and variables to show that two expressions are equal. It typically consists of two sides separated by an equal sign (=). The expressions on each side of the equal sign can contain variables, constants, and mathematical operations such as addition
In the given question,
Out of the 15 horses currently boarded, 3 are white. This means that the proportion of white horses among the currently boarded horses is:
3 / 15 = 0.2 or 20%
Therefore, if we assume that the next 20 horses that come to board will have a similar distribution of coat colors, we can expect approximately 20% of them to be white.
So, the expected number of white horses among the next 20 horses that come to board is:
20 x 0.2 = 4
Therefore, we should expect 4 white horses among the next 20 horses that come to board.
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Emilio puts $4,000.00 into an account to use for school expenses. The account earns 15% interest, compounded annually. How much will be in the account after 6 years?
Round your answer to the nearest cent.
Answer:
$10,359.73.
Step-by-step explanation:
We can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the amount of money after the specified time
P = the principal amount (the initial amount of money)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time (in years)
In this case, we have:
P = $4,000.00
r = 15% = 0.15
n = 1 (compounded annually)
t = 6 years
Substituting into the formula, we get:
A = 4000(1 + 0.15/1)^(1*6)
A = 4000(1.15)^6
A ≈ $10,359.73
Therefore, the amount in the account after 6 years, rounded to the nearest cent, is $10,359.73.
what is the graphed line of the equation 2x + 3y = -6
The graphed line of the equation is attached 2x + 3y = -6
What is linear equation?A linear equation is an expression that consists of a single power of the variable(s) in which it contains. This formulation can be impeccably illustrated in the following way:
ax + b = 0
The given equation 2x + 3y = -6 can be rearranged to get
y = -2/3x - 2
The x variables is plugged in to solve for y and used for the table of values for the graph
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tamara plays video games for the same amount of time each day. in 4 days she played video games for 48 minutes in 9 days how many minutes did she play video games
Answer:
Step-by-step explanation:
Its simple, you need to find x
4 days the same amount of time (x) gives 48 min
4x = 48
x = 48/4
x = 12
then to get the amount of minutes in 9 days it would be:
9x=days
9(12)=108
the answer would be 108 min
Answer:
108 mins
Step-by-step explanation:
48 mins/4 days = x mins/9 days
4x= 432
x=108 mins
OAB is a minor sector of the circle below.
Calculate the length of the minor arc AB in terms of pi
Not drawn accurately
AWARDING BRAINLIEST TO FIRST ANSWER
The Length of the arc in the circle shown is calculated to one decimal place, in terms of pi, as approximately 3.6π cm.
How to Calculate the Length of an Arc?The length of an arc in a given circle can be calculated by applying the formula as expressed below:
Length of arc (s) = ∅/360 * 2πr, where:
Reference angle = ∅
Radius of the circle = r.
Given the parameters:
Radius (r) = 16 cm
Reference angle (∅) = 40 degrees.
Plug in the values:
Length of the arc (s) = 40/360 * 2 * π * 16
Length of the arc (s) = 3.6π cm
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Answer:
To calculate the length of the minor arc AB in terms of pi, you need to know the measure of the central angle that intercepts the arc and the radius of the circle. Do you have that information?
Step-by-step explanation:
