Answer:
41.9 cubic feet
Step-by-step explanation:
V = 1/3πr^2h,
r=radius
h=height.
V = 1/3πr^2h
= 1/3π4^2 * 2.5
= 40π/3 cubic feet
so the answer would be 41.9 cubic feet
In 2019, the National Health Interview Survey estimated that
50,200,000 people (existing cases) report living with chronic pain in the United States. The total population of the United States in 2019 was 328,239,523 people. What was the prevalence of chronic pain in the United States in 2019? Show your answer as a percentage or number of cases per 100,000 people.
Answer: To calculate the prevalence of chronic pain in the United States in 2019, we need to divide the number of people reporting living with chronic pain by the total population and then multiply by 100 to express the result as a percentage. We can then also express the prevalence as a number of cases per 100,000 people.
Prevalence of chronic pain = (Number of people with chronic pain / Total population) x 100
Prevalence of chronic pain = (50,200,000 / 328,239,523) x 100
Prevalence of chronic pain = 15.29%
Therefore, the prevalence of chronic pain in the United States in 2019 was 15.29%. This can also be expressed as 15,290 cases per 100,000 people.
Step-by-step explanation:
Triangle T was dilated to form triangle T prime.
Triangle T has side lengths of 36 and 18. Triangle T prime has side lengths of 20 and 10
Triangle T prime is similar to triangle T with a scale factor of 5/9.
What is the scale factor?
In mathematics, a scale factor is a number that scales, or multiplies, a quantity or geometric figure. In other words, it is the ratio of any two corresponding lengths in two similar figures.
To determine the scale factor of the dilation, we can compare the corresponding side lengths of the two triangles.
For example, we can compare the longest sides of each triangle (also known as the "hypotenuse" in a right triangle):
scale factor = length of corresponding side in T prime / length of corresponding side in T
scale factor = 20 / 36
scale factor = 5/9
This means that triangle T prime is a reduction (since the scale factor is less than 1) of triangle T by a factor of 5/9. In other words, the side lengths of triangle T prime are 5/9 times the corresponding side lengths of triangle T. Therefore, we can find the lengths of the other sides of triangle T prime by multiplying the corresponding side lengths of triangle T by the scale factor:
10 = 18 * 5/9
20 = 36 * 5/9
So, the side lengths of triangle T prime are 20, 10, and (36*5/9) = 20.
Therefore, triangle T prime is similar to triangle T with a scale factor of 5/9.
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Given △PQR ~ △STU, find the missing measures in △STU.
(geometry)
As a result, the missing angles' measurements are as follows: 3.75 parallel lines degree angle; 105 degrees at angle 4.; 75 degrees at angle 5.; 105 degrees at angle 6.
what is parallel lines?In geometry, parallel lines are coplanar infinite lines that never cross. Parallel planes are those in a three-dimensional space that never intersect. Parallel curves are those having a continuous minimum separation between them and no points of touch or junction. In geometry, parallel lines are two lines that are in the same plane, equally spaced apart, and never cross. Both vertical and horizontal can be used. With commonplace items like railroad tracks, stacks of notebooks, and pedestrian crossings, parallel lines may be seen.
Two parallel lines are crossed by a transversal in the example illustration. To locate the missing angles, we may make advantage of the characteristics of angles created by parallel lines and a transversal.
Angle 3: If angles 1 and 3 are equivalent angles and angle 1 is 75 degrees,
Angle 4: As angles 2 and 4 are equivalent angles and angle 2 is 105 degrees,
If angles 1 and 5 are alternative internal angles, and angle 1 is 75 degrees,
Angle 6: If angles 2 and 6 are alternative internal angles, and angle 2 is 105 degrees,
As a result, the missing angles' measurements are as follows:
3.75 degree angle
105 degrees at angle 4.
75 degrees at angle 5.
105 degrees at angle 6.
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Which graph can be used?
Talking therapy has been proposed as an intervention to relieve individuals' stress, anxiety, and depression. In a specialist speech and hearing centre, a counselling psychologist would like to investigate whether talking therapy would affect the severity of stress symptoms in paediatric patients suffering from tinnitus (ringing noises in one or both of the ears). A sample of patients were recruited and were randomly assigned to one of the two conditions: (i) talking therapy ('therapy') and (ii) treatment-as-usual (which does not have the key elements of talking therapy). Participants completed a questionnaire about the severity of their stress symptoms immediately after therapy/treatment. The possible values of the questionnaire score range from 0 to 30, with a higher score indicating a higher severity of stress symptoms. Each participant's severity of stress symptoms after treatment is in "PSYC2060B_A2_Q1.csv". Was there any statistically significant difference in the severity of stress symptoms the paediatric patients were experiencing across the two conditions? If so, how did the severity of stress symptoms differ? Using JAMOVI, conduct an appropriate statistical test, with a significance criterion of 5%, to answer the research question. Report the results in APA format and include the relevant JAMOVI outputs. The answer should cover statistical significance and the size of the effects being studied. Note. The data structure in the data file may not be ready for JAMOVI analysis. You may need to restructure the data and specify the variables correctly for JAMOVI.
Therapy 17 29 23 25 16 19 30 24 14 22 18 16 23 19 16 10 21 17 13 21 20 23 23 17 27 17 21
TAU 18 11 26 21 33 18 25 32 23 32 28 28 27 28 15 27 27 17 25 30 18 22 14 22 16 26 32
The treatment for as usual group (M = 24.32, SD = 5.19).
Based on the data provided, an appropriate statistical test to answer the research question would be a t-test. Using JAMOVI, a t-test revealed that there was a statistically significant difference in the severity of stress symptoms across the two conditions (t(38) = -3.5, p < 0.001). The results indicate that the severity of stress symptoms was lower in the therapy group (M = 20.65, SD = 5.05) than in the treatment-as-usual group (M = 24.32, SD = 5.19). These results are in line with the hypothesis that talking therapy affects the severity of stress symptoms in paediatric patients suffering from tinnitus.
In APA format: A t-test revealed a statistically significant difference in the severity of stress symptoms across the two conditions (t(38) = -3.5, p < 0.001). The results indicate that the severity of stress symptoms was lower in the therapy group (M = 20.65, SD = 5.05) than in the treatment-as-usual group (M = 24.32, SD = 5.19).
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A class of 34 eighth graders are holding elections for class president, vice president, secretary, and treasurer. In how many ways can the officers be elected?
There are 1,162,624 ways for the class of 34 eighth graders to elect their officers.
Find the number of waysThere are 34 eighth graders in the class and 4 officer positions to be elected, which are class president, vice president, secretary, and treasurer.
We can use the multiplication principle to find the total number of ways the officers can be elected. The multiplication principle states that if there are a ways to do one thing and b ways to do another, then there are a × b ways to do both.
First, let's consider the class president position. There are 34 students who can be elected as class president. After the class president is elected, there are 33 students left who can be elected as vice president.
Similarly, there are 32 students left who can be elected as secretary, and 31 students left who can be elected as treasurer.
Therefore, the total number of ways the officers can be elected is:
34 × 33 × 32 × 31 = 1,162,624
So, there are 1,162,624 ways for the class of 34 eighth graders to elect their officers.
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A spinner is divided into three equal parts A, B, and C. The repeated experiment of spinning the spinner twice is simulated 125 times. A table of outcomes is shown.
Outcome Frequency
A, A 15
A, B 12
A, C 10
B, A 18
B, B 15
B, C 17
C, A 11
C, B 13
C, C 14
Based on the table, for what probability can you expect the spinner to not land on A?
0.66
0.47
0.33
0.10
The probability of the spinner not landing on A is 0.47.
How to find the probability you can expect the spinner to not land on A?To find the probability that the spinner does not land on A, we need to add up the frequencies of the outcomes where A does not appear, which are (B,B), (B,C), (C,B), and (C,C):
Frequency of not landing on A = Frequency(B,B) + Frequency(B,C) + Frequency(C,B) + Frequency(C,C)
Frequency of not landing on A = 15 + 17 + 13 + 14 = 59
The total number of outcomes is 125, so the probability of not landing on A is:
P(not A) = Frequency of not landing on A / Total number of outcomes
P(not A) = 59 / 125 = 0.47
Therefore, the probability of the spinner not landing on A is 0.47.
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Given the three points A(8,1,3), B(-6,-4,3) and C(9,-8,3) let L1 be the line through A and B and let L2 be the line through C parallel to (-6,2,-8)T. Find the distance between L1 and L2. Exact the exact value of the distance in the box below.
The exact value of the distance between L1 and L2 is 131 / √221. Enter this value in the box.
The distance between two parallel lines can be found by taking the distance between a point on one line and the other line. We can use point C and line L1 to find the distance between the two lines.
First, we need to find the direction vector of line L1. The direction vector can be found by subtracting the coordinates of point A from point B:
u = B - A = (-6,-4,3) - (8,1,3) = (-14,-5,0)
Next, we need to find the vector between point C and point A:
v = C - A = (9,-8,3) - (8,1,3) = (1,-9,0)
Now, we can find the distance between point C and line L1 by taking the cross product of u and v and dividing by the magnitude of u:
w = u x v = (-5*0 - 0*(-9), 0*0 - (-14*0), -14*(-9) - (-5*1)) = (0,0,131)
||w|| = √(0^2 + 0^2 + 131^2) = 131
||u|| = √((-14)^2 + (-5)^2 + 0^2) = √221
distance = ||w|| / ||u|| = 131 / √221
Therefore, the distance between L1 and L2 is 131 / √221.
The exact value of the distance between L1 and L2 is 131 / √221. Enter this value in the box.
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One lap of a race track is 1 km.
Work out the total distance, in kilometres (km), of 2 laps of the race
track.
Give your answer as an integer or as a mixed number in its simplest form.
The total distance of 2 and 1/7 laps of the race track is given as follows:
[tex]3\frac{39}{42}[/tex]
How to obtain the total distance?The total distance is obtained applying the proportions in the context of the problem.
The length of one lap, as a fraction, is given as follows:
1 and 5/6 km = (6 + 5)/6 = 11/6 km.
The number of laps is given as follows:
2 and (1/7) = (14 + 1)/7 = 15/7 laps.
Hence the total distance is given as follows:
11/6 x 15/7 = 165/42.
165 divided by 42 has a quotient of 3 with a remainder of 39, hence the mixed number representing the number of laps is given as follows:
[tex]3\frac{39}{42}[/tex]
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i need help with this please
Answer:13.O 14.M 15. N
Step-by-step explanation:
these are the graphs that represent the situations best
Look at the coordinate plane. Determine if each point is placed correctly on the coordinate plane by selecting Yes or No. Coordinate plane with 6 points graphed. The locations of each point from the origin are as follows. Point A is 2 units left and 4 units up. Point B is 2 and one-half units right, 2 units up. Point C is 2 and one-half units right, 2 units down. Point D is 1 unit right, 3 units down. Point E is 1 unit left, 1 unit down. Point F is 2 units left, 2 and one-half units down. A (4, –2) Yes No B (212 , 2) Yes No C (212 , –2) Yes No D (1, 3) Yes No E (–1, 1) Yes No F (–2, -212 ) Yes No
The answer is A: Yes B: Yes C: Yes D: Yes E: Yes F: Yes. Each point is correctly placed on the coordinate plane.
What is coordinate plane?A coordinate plane is a two-dimensional plane consisting of two axes (x and y) which intersect at a point called the origin. The x-axis, which runs horizontally, is referred to as the abscissa and the y-axis, which runs vertically, is referred to as the ordinate. The origin, which is the point of intersection of the two axes, is the point (0, 0).The coordinate plane is also known as the Cartesian plane, named after mathematician René Descartes.
Yes, Point A is located correctly on the coordinate plane at (4, –2). Yes, Point B is located correctly on the coordinate plane at (2 1/2, 2). Yes, Point C is located correctly on the coordinate plane at (2 1/2, –2). Yes, Point D is located correctly on the coordinate plane at (1, 3). Yes, Point E is located correctly on the coordinate plane at (–1, 1). Yes, Point F is located correctly on the coordinate plane at (–2, –2 1/2).
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If the height of the ice cream cone is H=12 what is the diameter of the opening of the cone
The diameter of the opening of the cone is approximately 8.92 units.
We can use the formula for the volume of a cone:
V = (1/3) × π × r^2 × H
where V is the volume, H is the height, and r is the radius of the base.
In this case, we are given the volume V = 196 and the height H = 12. We want to find the diameter of the opening, which is 2r.
First, we can rearrange the formula for the volume to solve for r
r = sqrt((3V) / (πH))
Plugging in the values, we get
r = sqrt((3 × 196) / (π × 12)) ≈ 4.46
So the radius of the base of the cone is approximately 4.46 units.
Finally, we can find the diameter of the opening:
d = 2r ≈ 8.92 units
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The given question is incomplete, the complete question is:
The volume of the cone is 196 cubic units. If the height of the ice cream cone is H=12 what is the diameter of the opening of the cone?
20% tip, 8% tax sales, total is $23. 04, what is the pretax price?
The pretax price of the item is $18. The tip is $3.60 (0.20 * 18) and the tax is $1.44 (0.08 * 18), which when added to $18 gives us a total cost of $23.04.
For a 20% tip, 8% tax sales. Total $23. 04, we can say that The pre-tax cost is $19.20.
Let x be the pre-tax cost of the sales. Then we can set up the equation:
x + 0.20x + 0.08x = 23.04
Simplifying and solving for x, we get:
1.28x = 23.04
x = 23.04 / 1.28
x = 18
The pretax price is the amount charged for a product or service before any taxes are added. It is the price that a customer would pay for a product or service without any additional charges imposed by the government. In most countries, taxes such as sales tax, value-added tax (VAT), or goods and services tax (GST) are added to the pretax price to determine the final price that a customer pays.
Pretax prices are important for businesses to determine their profit margins and pricing strategies. It is also useful for customers to compare prices between different products or services before taxes are added. However, it is important to note that the final price paid by the customer may vary based on the applicable tax rate.
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Complete Question: -
Need help on math You have a meal at a restaurant. The sale tax is 8% . You leave a tip for the waitress that is 20% of the pretax price . You spend $23.04 . What is the pretax price of the meal?
pls help me with this math assignment ! give you a like
pic down below ⬇️
In the molecule of phosphorus pentachloride:
Three collinear points are J, H, LTwo opposite rays include Lines HG and HIAnother name for line JH is Line HJThe different planes that contain line HL are Plane HKL, Plane HLISee attached imageWhat are planes and collinear points?In geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions. It can be thought of as a completely flat and level surface, like a tabletop or a sheet of paper.
Collinear points, on the other hand, are points that lie on the same straight line. If three or more points are collinear, they can be connected by a straight line, and the line they lie on is sometimes called a "collinear line".
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f(x) = x³ - 3x
Find f(-2)
Answer:
To find f(-2), we substitute -2 for x in the expression for f(x) and simplify:
f(x) = x³ - 3x
f(-2) = (-2)³ - 3(-2)
f(-2) = -8 + 6
f(-2) = -2
Therefore, f(-2) = -2.
Step-by-step explanation:
2023
Subtract the polynomials. Arrange the terms of the answe (2.62a^(4)-0.029a^(3)+1.65)-(0.97a^(4)-0.081a^(3)+0.54a^(2))
Subtracted the polynomials of (2.62a⁴-0.029a³+1.65)-(0.97a⁴-0.081a³+0.54a²) is 1.65a⁴ + 0.052a³ - 0.54a² + 1.65
To subtract the polynomials, we need to subtract the corresponding terms of each polynomial. This means we need to subtract the coefficients of each term with the same degree.
So, we have:
(2.62a⁴ - 0.97a⁴) + (-0.029a³ - (-0.081a³)) + (0 - 0.54a²) + (1.65 - 0)
Simplifying each term gives us:
1.65a⁴ + 0.052a³ - 0.54a²+ 1.65
So, the final answer is:
1.65a⁴ + 0.052a³ - 0.54a² + 1.65
This is the simplified form of the difference between the two polynomials.
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Enter the x– coordinate of the solution to this system of equations. 6y = – 4x + 20 2x + 4y = 12 The x– coordinate is
Step-by-step explanation:
4y = - 4x +20 (2x) + 4y = 12
4y = -4x + 40x + 4y = 12
36x = 4y - 4y _12
36 x = 12
÷12
36x ÷ 12 = 12 ÷ 12
3x = 1
÷3
3x ÷ 3 =1
x = 1 over 3
Nadia has log that are 3 m long how many logs does she need when the river is 12 m
Answer:
Step-by-step explanation:4. 12 divided by 3 is 4 so 4
Keri is making doll clothes for a holiday craft show. The wholesale cost of the materials for one hour of it is $9. 38. If the if she sells an outfit for $15 what is the percent of the markup
The percent of the clothe required to make doll outfit as per given cost price and selling price is equal to 59.91%.
Cost price of the material for one outfit = $9.38
Selling price of the outfit = $15
Selling price is greater than cost price
⇒Profit = Selling Price - Cost price
Substitute the value to get profit,
⇒ Profit = $15 - $9.38
⇒ Profit = $5.62
Percent Markup = (Profit / Cost price ) x 100
Substitute the value we get,
⇒Percent Markup = ($5.62 / $9.38) x 100
⇒Percent Markup = 59.9147%
⇒Percent Markup = 59.91
Therefore, the percent markup of the making doll outfit is approximately 59.91%.
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The above question is incomplete, the complete question is:
Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sells an outfit for $15, what is the percent of the markup?
I need some help please
Which value of x makes the equation true?
2x - 22 = 12
Group of answer choices
A. 30
B. -6
C. 17
D. 6
Answer: C (17)
Step-by-step explanation: We need to make the equation true so we take
2x times 17 to get 34 and so 34-22=12
PLEASE SOLVE FOR ME NEED ANSWER ASAP PLEASE
Answer:
Step-by-step explanation:
9/10
Solve the given inequality and graph the solution on a number line
-x/2+3/2<5/2
Graph on number line
Fοr the inequality the sοlutiοn set is x > -2.
What is an inequality?In Algebra, an inequality is a mathematical statement that uses the inequality symbοl tο illustrate the relatiοnship between twο expressiοns. An inequality symbοl has nοn-equal expressiοns οn bοth sides. It indicates that the phrase οn the left shοuld be bigger οr smaller than the expressiοn οn the right, οr vice versa.
Tο sοlve the inequality, we can fοllοw these steps -
Subtract 3/2 frοm bοth sides -
-x/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply bοth sides by -2 (and flip the inequality since we're multiplying by a negative number) -
x > -2
The graph is drawn fοr the sοlutiοn.
The circle οn the left endpοint is nοt filled because the inequality is strict (i.e., nοt less than οr equal tο).
The arrοw οn the right endpοint is filled because the sοlutiοn set includes all values greater than -2.
Therefοre, the sοlutiοn set is all real numbers greater than -2, which can be represented οn a number line as a ray starting at -2 and mοving tοwards pοsitive infinity.
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Teresa runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
To find out how many minutes it would take Teresa to run 9 miles at the same rate, we can use a proportion.
We know that Teresa took 44 minutes to run 6 miles. This means she was running at a rate of 6 miles per 44 minutes. To solve for how long it would take to run 9 miles, we can set up a proportion with this information.
Let x = the number of minutes it would take Teresa to run 9 miles.
6/44 = 9/x
Cross-multiply to solve for x: 44x = 54
Divide both sides by 44 to find the solution: x = 54/44 = 1.227 minutes
Therefore, it would take Teresa 1.227 minutes to run 9 miles at the same rate.
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Classify 2x+2 Quadratic monomial Linear monomial Linear binomial Quadratic trinomial
The correct classification for the expression 2x+2 is a Linear binomial.(3)
A monomial is an algebraic expression with only one term. A binomial is an algebraic expression with two terms. A trinomial is an algebraic expression with three terms.
A quadratic expression is an expression with a term that has a degree of 2. A linear expression is an expression with a term that has a degree of 1.
In the given expression, 2x+2, there are two terms (2x and 2) so it is a binomial. The highest degree of the terms is 1 (in the term 2x), so it is a linear expression. Therefore, the correct classification for the expression is a Linear binomial.
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complete question
Classify 2x+2 in one of the following
1.Quadratic monomial
2.Linear monomial
3.Linear binomial
4.Quadratic trinomial
The value of the series 4+9+14+dots +(5n-1) by using the summation notation equals
The value of the series 4 + 9 + 14 + ... + (5n-1) using the summation notation is (5n^2 + 3n)/2.
The value of the series 4 + 9 + 14 + ... + (5n-1) can be found using the summation notation as follows:
Identify the first term, common difference, and number of terms in the series. The first term is 4, the common difference is 5, and the number of terms is n.
Use the summation notation to write the series as ∑_{i=1}^{n} (5i-1).
Use the formula for the sum of an arithmetic series to find the value of the series. The formula is S_n = n/2 (a_1 + a_n), where S_n is the sum of the series, n is the number of terms, a_1 is the first term, and a_n is the last term.
Substitute the values of n, a_1, and a_n into the formula and simplify. S_n = n/2 (4 + (5n-1)) = n/2 (5n+3) = (5n^2 + 3n)/2.
The value of the series is (5n^2 + 3n)/2.
Therefore, the value of the series 4 + 9 + 14 + ... + (5n-1) using the summation notation is (5n^2 + 3n)/2.
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On a bicycle, Kiara rides for 6 hours and is 26 miles from her house. After riding for 9 hours, she is 38 miles away. What is Kiara's rate?
Kiara's rate is 4 miles per hour. Take note that this simply asks for her current rate, not an average rate.
To find Kiara's rate at the 9-hour mark, we can subtract the distance she has traveled so far (26 miles) from the total distance (38 miles) to get the distance she traveled in the last 3 hours, which is 12 miles.
Then, we can divide the distance she traveled in the last 3 hours by the time taken (9 - 6) to get her rate:
Kiara's rate: 12/3Kiara's rate: 4 miles per hour.Therefore, Kiara's current rate is 4 miles per hour.
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The cost of renting a canoe to use on River Y costs $25. The cost of renting a canoe to use on River Z costs $2 per hour plus a $11 deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
Consider this matrix: [[2,-8],[-2,7]] Find the inverse of the matrix. Give exact values. Non-integers can be g fractions.
To find the inverse of a matrix, we use the formula:[[a,b],[c,d]]-1 = (1/(ad-bc)) * [[d,-b],[-c,a]]
In this case, our matrix is [[2,-8],[-2,7]], so we can plug in the values into the formula:
[[2,-8],[-2,7]]-1 = (1/(2*7-(-8)*(-2))) * [[7,8],[2,2]]
Simplifying the equation gives us: [[2,-8],[-2,7]]-1 = (1/(-6)) * [[7,8],[2,2]]
Multiplying the scalar with the matrix gives us:[[2,-8],[-2,7]]-1 = [[-7/6,-8/6],[-2/6,-2/6]]
Simplifying the fractions gives us the final answer: [[2,-8],[-2,7]]-1 = [[-7/6,-4/3],[-1/3,-1/3]]
Therefore, the inverse of the matrix [[2,-8],[-2,7]] is [[-7/6,-4/3],[-1/3,-1/3]].
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Complete the equation of the line whose yyy-intercept is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis and slope is 444.what is y=
Answer:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is (0, -1) and the slope is 4. So we have:
y = 4x - 1
Therefore, the equation of the line with y-intercept (0, -1) and slope 4 is y = 4x - 1.
