The final equation is y =x-1.
To find the line that satisfies the given, we will use the two-point form
[tex]y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )[/tex]
Before we use this, however, we need to assign to the points given the variables they represent:
(-1, -2) and (4, 3)
[tex]x_{1} = -1[/tex]
[tex]x_{2} = 4[/tex]
[tex]y_{1} = -2[/tex]
[tex]y_{2} = 3[/tex]
Now, we will substitute these values
[tex]y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )[/tex]
⇒ [tex]y - (-2) = \frac{3 - (-2) }{4-(-1) } (x -(-1) )[/tex]
⇒ [tex]y +2 = \frac{3 +2 }{4 +1 } (x +1 )[/tex]
⇒ [tex]y +2 = \frac{5 }{5 } (x +1 )[/tex]
⇒ [tex]y +2 = x +1[/tex]
⇒ [tex]y = x -1[/tex]
Thus, the final equation is y =x-1.
Read more about equations:
https://brainly.com/question/22688504
#SPJ4
10). A Pizza Hut driver can travel a radius of 20 miles in all
directions. What is the area the drivers will cover? Use
3.14 for pi.
Answer:
1256 miles
Step-by-step explanation:
the Pizza Hut driver has a circle with a radius of 20 which is the area he can cover. you're looking for the area of the circle, and the formula for the area of a circle is pi * r * r
If you substitute, you have 3.14*20*20, which is 1256
State the converse of the inscribed angle theorem do you think the converse is true
The given statement can be justify by using angle inscribed theorem. The angle inscribed theorem define as the angle inscribed in a circle is half of the center angle which subtends same arc of the circle.
What is inscribed angle?
When two chords intersect on a circle, an inscribed angle is the angle that is created inside the circle. It can alternatively be described as the angle formed at a particular point on a circle by two specified points. Alternatively, two chords of the circle sharing an endpoint define an inscribed angle.
Angle inscribed theorem
As per the inscribed angle theorem angle inscribed in a circle is half of the center angle so the angle would be or .
In geometry right angle is
Thus, the second corollary, that an angle inscribed in a semicircle is a right angle.
Learn more about inscribed angle here:
https://brainly.com/question/3538263
#SPJ1
Please help me with math problem!! Will give brainliest!! :) It's due tonight!! 20 POINTS!!!
Answer:
Step-by-step explanation:
im sorry Im only in 6th grade and I cant help you
Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength.
0. 52 1. 80 1. 52 2. 05 1. 03 1. 18 0. 80 1. 33 1. 29 1. 12
3. 34 1. 54 0. 08 0. 12 0. 60 0. 72 0. 92 1. 05 1. 43 3. 05
1. 81 2. 17 0. 63 0. 56 0. 03 0. 09 0. 18 0. 34 1. 51 1. 45
1. 52 0. 19 1. 55 0. 02 0. 07 0. 65 0. 40 0. 24 1. 51 1. 45
1. 60 1. 80 4. 69 0. 08 7. 89 1. 58 1. 64 0. 03 0. 23 0. 72 (a) Find the range.
(b) Use a calculator to calculate ?x and ?x2. (Round your answers to two decimal places. )
?x =
?x2 =
On the NASA space shuttles, a substance called kevlar epoxy is employed. This epoxy's strands underwent testing for 90% breaking strength.
The range is: 7.87The values of ∑X and ∑X² are respectively: 62.12 and 164.3516The values of the sample mean, variance and standard deviation are respectively: 1.24, 1.78 and 1.334The coefficient of variation is: 107.356Mean, Range, variance, standard deviation
A) Formula for range is;
Range = Highest term - Lowest term
Range = 7.89 - 0.02
Range = 7.87
B) Sum of all the given 50 epoxy samples is gotten to be;
∑X = 62.12
From online statistics calculator, we have; ∑X² = 164.3516
C) Formula for sample mean here is;
x' = ∑x/n
x' = 62.12/50
x' = 1.24
Formula for variance is;
σ² = [∑x² - [(∑x)²/n]]/(n - 1)
σ² = (164.3516 - (62.12²/50))/(50 - 1)
σ² = 1.78
Formula for the standard deviation is;
σ = √variance = √1.78
σ = 1.334
D) Formula for coefficient of variation is;
CV = (σ/x') * 100
CV = (1.33379/1.2424) * 100
CV = 107.356
Learn more about mean, variance and standard deviation:
brainly.com/question/15858152
#SPJ4
which foods would a nurse encourage for a client with a red blood cell count of 3.2 million cells/cm3? select all that apply.
A nurse would encourage the following foods for a client with a red blood cell count of 3.2 million cells/cm3:
Iron-rich foods (e.g. red meat, poultry, fish, beans, lentils, tofu)Vitamin C-rich foods (e.g. oranges, strawberries, bell peppers, broccoli)Iron is essential for the production of hemoglobin, which is responsible for carrying oxygen in the blood. Vitamin C aids in the absorption of iron from plant-based sources.
A diet high in these nutrients can help maintain or improve red blood cell count. In addition to iron and vitamin C, a balanced diet that includes plenty of fruits and vegetables, lean protein, and whole grains is recommended for overall health.
The nurse may also encourage hydration and physical activity as both are important factors in maintaining healthy blood cells.
To know more about red blood cell click on the link below:
https://brainly.com/question/12265786#
#SPJ11
What is the Side Angle Side Formula?
Side angle side formula is used to prove congruent triangles.
What are congruent triangles?
Congruent triangles are triangles that are precisely the same size and shape. The word congruent has a symbol ≅. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.
Side angle side rule:
The triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
There are four rules of congruent triangles.
1) Side angle side
2) Side side side
3) Angle angle angle
4) Angle side angle
To learn more about congruent triangles, click on the below link:
https://brainly.com/question/2485604
#SPJ4
Write the next three terms of the geometric sequence -2, 4, -8, 16, …
Answer:
-32, 64, -128
Step-by-step explanation:
Each term is -2 times the previous term. This means the next term is
(-2) x 16 = -32
Then,
(-2) x (-32) = 64
and lastly,
(-2) x 64 = -128
A park is rectangular with a length of 2/3 miles. If the area of the park is 1/2 square mile, what is its width? Input your answer as a fraction
Answer: 3/2 miles
Step-by-step explanation: Area of Park = Length * Width
Width = Area / Length= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.
Find the values of the trigonometric functions of t from the given information. tan(t) = -12/5 , sin(t) > 0 ,sin(t),cos(t),csc(t),sec(t),cot(t).
Find the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5
π
/7 rad. (Round your answer to two decimal places.)
The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m
To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.
Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25) = √(1/25) = 0.2
Csc(t)= 1/0.2= 5
The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.
Radius r = (20m)/(5π/7) = (20m*7)/(5π) = 28/π = 8.86 m
To know more about trigonometric functions refer to the link brainly.com/question/25618616
#SPJ4
What is the formula for the arc length of the sector of a circle?
If PQ subtends angle at the circle's center, then let PQ be an arc with radius r and a center at O. Thus, the arc length of PQ is given by PQ = /360° (2r), where is a degree.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
https://brainly.com/question/25716982
#SPJ4
what does -4xy equal to
Answer: I can not give an answer because you have not given enough information to answer it. If you could add a picture it would be greatly appreciated.
refers to nondisclosure of the treatment an experimental unit is receiving.
Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.
What is Blinding?Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment. Blinding is used to eliminate potential sources of bias that might influence the results of the experiment.
For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.
Blinding is the practice of keeping the therapy that an experimental unit is getting a secret. In a single-blind experiment, the experimental unit (also known as the subject) is kept in the dark regarding the therapy that he or she is getting.
To learn more about Blinding refer to :
brainly.com/question/30488405
#SPJ4
Complete question:
refers to nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.
use the root test to determine whether the series is convergent or divergent. [infinity] n = 1 4 1 1 n n2 identify an. evaluate the following limit. lim n → [infinity] n |an| since lim n → [infinity] n |an| ? 1,
In this case, the limit is 0, so the series is indeed convergent.
The Root Test is used to determine the convergence or divergence of a series. and it is used the Root Test, we start by finding the nth root of each term in the series.
In this case, the series is
=> [∞] n = 1 4 1 1 n n²,
so we calculate the nth root of each term:
[tex]= > (1/n^{2} )^{1/n}[/tex]
Then, we take the limit of this expression as n approaches infinity, to find the value of the root.
If this limit is less than 1, the series is convergent. If the limit is greater than or equal to 1, the series is divergent.
In this case, the limit of [tex](1/n^{2} )^{1/n}[/tex] as n approaches infinity is 0, which is less than 1. This means that the series is convergent.
To confirm this, we can evaluate the limit of the absolute value of each term as n approaches infinity, using the formula
=> lim n → [∞] n |aⁿ|.
If this limit is finite, then the series is convergent.
To know more about expression here.
https://brainly.com/question/14083225
#SPJ4
50 points, PLS HELp!
Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (50 points)
The equivalent ratios are given as follows:
21/7 = 3.24/8 = 3.27/9 = 3.Hence the coordinates are given as follows:
(7,21).(8,24).(9, 27).As the constant of the proportional relationship is of 3, starting from the origin, the points are plotted always moving one unit right (x) and three units up (y).
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Then the constant is obtained as follows:
k = y/x.
For this problem, the constant is given as follows:
k = 21/7 = 24/8 = 27/9 = 3.
(representing the equivalent ratios).
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Which of the four levels of measurement is most appropriate?
In the four levels of measurement : nominal, interval, ordinal, ratio: "ordinal," is most appropriate for the given for positions of the persons standing in a line
Explain the term levels of measurement?You may find out how accurately variables are recorded using levels of measurement, sometimes known as scales of measurement. A variable in scientific study is something that can have various values throughout your data collection (like height or test scores).Four degrees of measuring exist:
Nominal: The information is only classifiable.Ordinal: The information is classifiable and rankableIntervals: Data can be classified, rated, and spaced evenly between intervals.Ratio: The data is equally distributed, categorized, ranked, and contains a natural zero.Thus, in the four levels of measurement : nominal, interval, ordinal, ratio: "ordinal," is most appropriate.
To know more about the levels of measurement, here
https://brainly.com/question/4823744
#SPJ4
The complete question is-
determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for positions of persons in a line (extra?)
The recurrence T(n) = 7T(n/2)+n2 describes the running time of an algorithm ALG. A competing algorithm ALG has a running time of T (n) = aT (n/4)+ n2 log n. What is the largest value of a such that ALG is asymptotically faster than ALG?
48 will be the value to ensure that A′ is asymptotically faster than A.
The recurrence relation T(n)=7T(n/2)+n2 is given by the question, and its answer is the asymptotic complexity master theorem T(n)=(nlog49base4).
Therefore, the recurrence relation T′(n)=T′(n/4)+n2 can be used to express the complexity in general.
As a result, the relationship is as follows: a=, b=4, f(n)=n2.
For a value of the >16, nloga base b=nlog base 4, and the >0, f(n)=O(nlog).
As a result, for n > 16, T′(n) = (n log base 4)
Now since A is getting asymptotically faster than A', A must hold:
Base 4 (nlog) nlog49 base 4 Since the base is equal to e, we can calculate the power as follows: log base 4 log49 base 4. Thus, after solving, we will obtain 49.
Therefore, 48 will be the value to ensure that A′ is asymptotically faster than A.
Know more about recurrence relation
https://brainly.com/question/29413223
#SPJ4
A cla recorded the mae,in gram,of 20 bag of rice. Their reult are hown on the right. Explain how all three tudent could be correct?
All three students could be correct if they recorded the mass of the 20 bags of rice in different units. For example, one student could have recorded the mass in kilograms, another student could have recorded the mass in pounds, and the third student could have recorded the mass in ounces.
In order for all three students to be correct, they would have to be recording the mass of the 20 bags of rice in different units. For example, one student could have recorded the mass in kilograms, another student could have recorded the mass in pounds, and the third student could have recorded the mass in ounces. This would explain why each student has a different answer, as they are all measuring the mass in different units. The only way to ensure accuracy would be to measure the mass in the same unit of measurement, so that all students have the same answer.
Learn more about mass: https://brainly.com/question/26150306
#SPJ4
Erin was shopping and saw that 30oz of milk cost $2.45. Calculate the unit price for 1 oz of milk. $____
You and your sister are saving money from your allowances. You have $25 and save $3 each week. Your sister has $40 and saves $2 each week. After how many weeks will you and your sister have the same amount of money
Stuck on this question
Answer:
ABD =30 +45
ABD=75
75°is the answer
Solve for x. Give a reason for each step in the process.
5(-3a - 6) = 5a + 30
4 in
6 in.
4 in
Find the area of the unshaded region
The area of the unshaded region in the given diagram is 64π in²
Calculating the area of the unshaded regionFrom the question, we are to determine the area of the unshaded region in the given diagram
Area of the unshaded region = Area of the medium circle - Area of the small circle
The formula for calculating the area of a circle is given as
A = πr²
Where A is the
and r is the radius
From the diagram,
Radius of the medium circle = 6 in + 4 in
Radius of the medium circle = 10 in
and
Radius of the small circle = 6 in
Thus,
Area of the unshaded region = π(10)² - π(6)² in²
Area of the unshaded region = 100π - 36π in²
Area of the unshaded region = 64π in²
Hence, the area is 64π in²
Learn more on Calculating area of the unshaded region here: https://brainly.com/question/14989383
#SPJ1
A woman drives to her office 10 km away from her house at 9 a. M. And reaches her office at 9:20 a. M. She stays in the office until 6 p. M. And then returns home at 6:25 p. M. Which answer gives the correct distance and displacement at 6:25 p. M. ?.
Distance is a scalar quantity that represents the total length of the path traveled by an object . It can be thought of as the magnitude of the displacement, which is the change in position of an object.
Displacement, on the other hand, is a vector quantity that represents the change in position of an object, taking into account the direction of travel. It is the shortest distance between the initial and final position of an object.
The distance traveled by the woman is the total length of her trip from her house to her office and back. It is equal to 2 * 10 km = 20 km.
Displacement is the final position of an object relative to its initial position, taking into account only the direction, and not the distance traveled. At 6:25 PM, the woman is back at her house, which is her initial position, so her displacement is 0 km.
So the correct answer is:
Distance traveled = 20 km
Displacement = 0 km
To know more about Displacement
https://brainly.com/question/321442
#SPJ4
Two friends shop for fresh fruit. Jackson buys a watermelon for $7.85 and 3 pounds of cherries. Tim buys a pineapple for $3.25 and 2 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
(please its due Wednesday!!!!)
Jackson spent 4.60+p more than Tim in buying fruits.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, two friends shop for fresh fruit. Jackson buys a watermelon for $7.85 and 3 pounds of cherries.
Let the variable p to represent the price, in dollars, per pound of cherries.
So, the total cost is 7.85+3p
Tim buys a pineapple for $3.25 and 2 pounds of cherries.
Here, the total cost is 3.25+2p
Difference in there price is 7.85+3p -(3.25+2p)
4.60+p
Therefore, Jackson spent 4.60+p more than Tim in buying fruits.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ1
Show whether each logical expression is a tautology, contradiction or neither.
(a) (p ⨠q) ⨠(q â p)
(b) (p â q) â (p ⧠¬q)
(c) (p â q) â p
(d) (p â q) ⨠p
(e) (¬p ⨠q) â (p ⧠¬q)
(f) (¬p ⨠q) â (¬p ⧠q)
The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.
(a) Neither - This expression can be written as ¬(p ∨ q) ∧ (q ∨ ¬p), which is neither a tautology nor a contradiction.
(b) Contradiction - This expression can be written as (p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.
(c) Tautology - This expression can be written as (p ∨ q) ∧ p, which is a tautology because it is equivalent to p, which is always true.
(d) Contradiction - This expression can be written as (p ∨ q) ∧ ¬p, which is a contradiction because it is equivalent to (p ∨ q) ∧ (¬p), which is a false statement.
(e) Contradiction - This expression can be written as (¬p ∨ q) ∧ (p ∧ ¬q), which is a contradiction because it is equivalent to (¬p ∨ q) ∧ (¬p), which is a false statement.
(f) Tautology - This expression can be written as (¬p ∨ q) ∧ (¬p ∨ q), which is a tautology because it is equivalent to (¬p ∨ q), which is always true.
The expressions (a), (b), (c), (d), (e), and (f) are respectively neither, contradiction, tautology, contradiction, contradiction, and tautology.
Learn more about equivalent here:
https://brainly.com/question/14672772
#SPJ4
The measures of the angles in triangle UVW are shown in the diagram.
What is the value of x ?
Answer:
3x-9+34+24=180 (because the sum of angle of triangle is 180 )
3x+49=180
3x=180-49
3x=131
x=131÷3
x=43.67
Given the graph below, find the length of the segment. Round to the nearest hundredth.
The length of the segment MN = 5.4 unit
What is distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The length of the segment MN = The distance from (-1, 2) and (4, 0).
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}
The length of the segment MN = √{(4+ 1)² + (0 - 2)²}
The length of the segment MN = √{5)² + (2)²}
The length of the segment MN = √{29} = 5.385
Therefore, the length is 5.4 unit.
To learn more about the distance between two points;
https://brainly.com/question/24485622
#SPJ1
collection of n < min{m, n −m } is taken out at random without replacement. for k = 0, . . . , n, give a formula for the probability that exactly k balls are red.
The formula for the probability that exactly k balls are red when a collection of n < min{m, n - m} balls is taken out at random without replacement is given by:P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n) = (m! / (k! * (m - k)!) * (n - m)! / ((n - k)! * (n - m - n + k)!)) / (n! / (n! * 0!)) = (m! * (n - m)!) / (k! * (m - k)! * (n - k)! * n!).
Given n balls, m of which are red and n - m are blue, if a collection of n < min{m, n - m} balls is taken out at random without replacement, the probability that exactly k balls are red can be calculated using the Hypergeometric Distribution. The formula for the probability that exactly k balls are red is given by: P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n)
where C(n, k) denotes the number of combinations of n things taken k at a time, and is given by: C(n, k) = n! / (k! * (n - k)!).
Therefore, the formula for the probability that exactly k balls are red when a collection of n < min{m, n - m} balls is taken out at random without replacement is given by:
P(k red balls) = (C(m, k) * C(n - m, n - k)) / C(n, n) = (m! / (k! * (m - k)!) * (n - m)! / ((n - k)! * (n - m - n + k)!)) / (n! / (n! * 0!)) = (m! * (n - m)!) / (k! * (m - k)! * (n - k)! * n!).
To learn more about probability,
Visit; brainly.com/question/30034780
#SPJ4
Alex drew two lines and two transversals. He wants to know the measures of angles 1, 2, and 3. Identify the measure of each angle and the relationship used to find the angle measure.
2 vertical parallel lines, M and N, intersected by 2 transversal lines P and Q. Lines P and Q intersect each other on line N. Between lines M and N, the 2 angles formed by lines M and P are labeled 1 and one hundred thirty-five degrees, and the smaller angle formed by lines M and Q is labeled 3. The non-adjacent angles formed by lines P and Q are labeled 2 and ninety-five degrees.
m∠
1=
° because ∠
1 and the angle measuring 135° are
Choose...
angles.
m∠
2=
° because ∠
2 and the angle measuring 95° are
Choose...
angles.
m∠
3=
° because ∠
1, ∠
2, and ∠
3 form a
Choose...
.
<1 = 45 degrees- are supplementary angles.
<2 = 95 degrees - vertical angles.
<3 = 40 degrees because 1, 2, and 3 form a triangle.
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Using the provided figure, we can
Because <1 and the angle with a measure of 135 degrees are supplementary angles, m<1 = 45 degrees.
and, Because <2 and the angle measuring 95 degrees are vertical angles, m<2 = 95 degrees.
Also, Because 1, 2, and 3 make a triangle, m<3 = 40 degrees.
learn more about angle here:
brainly.com/question/28451077
#SPJ1
At which latitude would you more often have the sun striking the ground at a high angle?
0° (the equator)
60°S
30°N
90°N (the North Pole)
The sun would more frequently be reaching the ground at a high angle at latitude 0° (the equator). Option A is correct.
What is latitude?
Latitude is the angle north or south of the equator and extends horizontally over the globe. Longitude, on the other hand, runs from east to east and runs vertically across the globe.
On any given day, only points on Earth's surface that are located along a single line of latitude can experience sunlight at a 90-degree angle. Lower levels of sunshine are present everywhere else. The sun's beams are typically strongest at the equator and weakest at the poles.
Option A is correct,0° (the equator).
Learn more about the latitude here,
https://brainly.com/question/28606059
#SPJ4