Answer:
The answer is 141.90 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(18, -24) & (87, 100)
The distance between them is
[tex]d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...[/tex]
We have the final answer as
141.90 unitsHope this helps you
Solve the system of equations by the addition method.
8x- 7= -13
5x+ y= 0
Answer:
x=-3/4 y=15/4
Step-by-step explanation:
Solve the following system of equations using any method (substitution or elimination) SHOW YOUR WORK
y = -2x + 3
-4x + 2y = 8
-1/4 = -0.25 and 7/2 = 3.5
============================================
Work Shown:
Plug the 1st equation into the 2nd to solve for x.
-4x + 2y = 8
-4x + 2(-2x+3) = 8
-4x - 4x + 6 = 8
-8x + 6 = 8
-8x = 8-6
-8x = 2
x = 2/(-8)
x = -1/4
That's plugged into the other equation to determine y.
y = -2x + 3
y = -2(-1/4) + 3
y = 1/2 + 3
y = 1/2 + 6/2
y = (1+6)/2
y = 7/2
Which angles are congruent to each other?
Answer:
The angles that are congruent due to being vertical angles are:
m∠2 and m∠4
m∠1 and m∠3
m∠8 and m∠6
m∠5 and m∠7
Which of the following devices converts electrical energy to mechanical energy? a. A motor b. A combustion engine c. A furnace d. A generator e. A nuclear reactor QUESTION 8 When an antelope triples it speed a. The kinetic energy of the antelope is one-ninth of the value from before. b. The kinetic energy of the antelope is nine times greater than before. c. The kinetic energy of the antelope is three times greater than before. d. The kinetic energy of the antelope is the same as before. e. The kinetic energy of the antelope is one-third of the value from before. QUESTION 9 A 50-g bullet is traveling at 2.0 km/s in the horizontal direction when it pierces a wall that is 15 cm thick. When the bullet emerges from the other side is traveling at 1.0 km/s. What is the magnitude of the force that the wall applied to the bullet? Assume that the bullet does not lose any of its mass throughout its path. a. 5.0×10
5
N b. 6.0×10
5
N c. 3.0×10
5
N d. 4.0×10
5
N e. 2.0×10
5
(a) A motor is the device that converts electrical energy to mechanical energy. (b) The kinetic energy of the antelope is nine times greater than before.
(a)A motor is an electrical device that uses the principle of electromagnetic induction to convert electrical energy into mechanical energy. It consists of coils, magnets, and a rotating shaft. When an electric current is passed through the coils, it creates a magnetic field that interacts with the magnetic field of the permanent magnets, causing the shaft to rotate and thus converting electrical energy to mechanical energy. Motors are commonly used in various applications such as appliances, vehicles, and industrial machinery.
(b)The kinetic energy of an object is given by the equation KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. When an object's speed is tripled, the new kinetic energy is calculated by substituting the new velocity into the equation. Since the velocity is squared, tripling the velocity results in a nine-fold increase in the kinetic energy. Therefore, the kinetic energy of the antelope is nine times greater than before when its speed is tripled.
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hellooooooooo
41k = 2747
Answer:
B
Step-by-step explanation:
Use divison property of equality, divide both sides by 41 and you will get -67.
What values of x make the equation true?
(x - 2)2 – 16 = 0
A(x = -2 or x = 6
B(x = -6 or x = 2
C) x = -2 or x = -6
D) x = 6 or x = 2
|
Answer:
x =234567
Step-by-step explanation:
i took the test
a folder and a paper clip cost $1.10 in total. the folder costs $1.00 more than the clip. how much does the paper clip cost?
The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
Let's solve this problem step by step:
Let's assume the cost of the paper clip is x dollars.
According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).
The total cost of the folder and the paper clip is $1.10, so we can write the equation:
x + (x + $1.00) = $1.10
Combining like terms, we have:
2x + $1.00 = $1.10
Subtracting $1.00 from both sides of the equation, we get:
2x = $0.10
Dividing both sides by 2, we find the value of x:
x = $0.10 / 2
x = $0.05
Therefore, the paper clip costs $0.05.
In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
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A) 115 degrees
B) 120 degrees
C) 15 degrees
D) 95 degrees
Answer:
A
Step-by-step explanation:
pls give a brainliest
❤ Hello Buddy!! ❤
The answer is below!!
-------------------------------------------------------------------------------------------------
Step-by-step explanation:
[tex](8x-5)+2x+(3x-10)=180[/tex]
[tex]13x-15=180[/tex]
[tex]+15 +15[/tex]
[tex]13x=195[/tex]
[tex]x=15[/tex]
[tex]8(15)-5=115[/tex]°
P.S Tell me if this is wrong.....
[tex]GoodLuck!![/tex]
#[tex]Be[/tex] [tex]Bold[/tex]
#[tex]LearnWithBrainlyAlways[/tex]
[tex]_{Loserbrazts}[/tex]
"Define the difference between experimental data and non
experimental data. Give two examples of experimental data and two
examples of non experimental data and state why each, in detail,.
Experimental data and non-experimental data differ in their method of collection and the level of control over the variables involved.
Experimental data is obtained through controlled experiments where researchers manipulate independent variables to observe their effects on dependent variables. Non-experimental data, on the other hand, is collected without direct manipulation of variables, often through observation or existing records.
Experimental data involves conducting controlled experiments to gather information. In such cases, researchers actively manipulate variables to study their impact on the outcome. For example, in a study investigating the effects of a new medication on blood pressure, participants may be randomly assigned to receive either the medication or a placebo. The researchers then measure and compare the participants' blood pressure readings to determine the medication's effectiveness. In another example, an experiment could be conducted to examine the impact of different fertilizers on plant growth by treating different groups of plants with specific fertilizers and measuring their growth rates.
Non-experimental data encompasses information collected without direct manipulation of variables. One example is observational data, where researchers observe and record naturally occurring events or behaviors. For instance, a study on animal behavior might involve observing a group of primates in their natural habitat and documenting their social interactions, feeding patterns, or communication. Another example of non-experimental data is survey data, which involves gathering information through questionnaires or interviews. For instance, a market research survey may ask consumers about their preferences for different brands of a product or their likelihood of purchasing certain items.
In experimental data, researchers have control over variables, allowing them to establish cause-and-effect relationships between the independent and dependent variables. Non-experimental data, however, lacks such control, making it more challenging to establish causal relationships. While experimental data provides strong evidence for drawing conclusions, non-experimental data is valuable for exploring relationships, describing phenomena, and generating hypotheses that can be further tested through experiments.
In summary, experimental data is collected through controlled experiments where variables are manipulated, while non-experimental data is obtained through observation or existing records without direct manipulation. Experimental data allows for establishing cause-and-effect relationships, while non-experimental data provides valuable insights for exploration and hypothesis generation. Examples of experimental data include studies on medication effects or fertilizer impact, while examples of non-experimental data include observational studies on animal behavior or surveys on consumer preferences.
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Mrs. Roberts has a square garden with an area of 36 square feet. She wants to put a fence around only 3 sides of her garden. How many feet of fencing material does she need? a. 9 feet b. 27 feet C. 36 feet d. 18 feet ouoc hoyes una ramn before pushing them onto a platform to
Answer:
27 feet.
Step-by-step explanation:
This is quite simple. As a square has equal lenght and width we can tell that 6x6=36. So each side has a lenght of 6 feet. With only 3 sides needed for fencing, 6x3=27. Mrs. Roberts needs 27 feet of fencing.
HELP ASAP GIVING TONS OF POINTS
Answer:
i think x=7
Step-by-step explanation
Answer:
x=7
Step-by-step explanation:
Which function is nonlinear? Y=4x+9 y=7/x-6 y=x-6/7 15 points
Answer:
The answer is y = 7/x -6.
Step-by-step explanation:
A linear function is one where x and y are both to the first power. Using this knowledge, let's look at the options that we are given.
y = 4x + 9
In the above equation, both x and y are raised to the first power, so we know that this equation is linear.
y = 7/x - 6
In the above equation, y is raised to the first power, but x is not. Since x is in the denominator of a fraction, it actually has a power of -1, which makes this equation nonlinear.
y = x - 6/7
In the above equation, both x and y are raised to the first power, making the equation linear.
Therefore, the correct choice is y =7/x - 6.
Hope this helps!
I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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I need help Real quick! ASAP, One/Two Step Equation Word Problems | Define the Variables for each problem.
6) Braden Scored 9 fewer points on his math test than ava did. If av scored an 86, What was Braden's score?
7) Pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?
Answer:
6) Braden scored 77.
7) Carolyn bought 18 pocket folders.
Step-by-step explanation:
6) 86 - 9 = 77
7) 0.39x = 7.02
step 1- divide both sides by 0.39
x = 18
Answer:
77 and and i willl show you irl rn im just next to your room XD
Step-by-step explanation:
EASY! PLS ANSWER ASAP! 15 points!
pls show work
Answer:
[tex]-3 \frac{1}{6} *7\frac{5}{3}= -21\frac{5}{18}[/tex]
i think this is the answer
C12 A set {₁,...,} is said to be an orthonormal set if each vector in the set is orthogonal to every other vector in the set, and each vector is a unit vector. (a) Prove that the standard basis for R³ is an orthonormal set. (b) Prove that any orthonormal set is a basis for the set it spans.
(a) The standard basis for R³, which consists of the vectors (1, 0, 0), (0, 1, 0), and (0, 0, 1), is an orthonormal set. Each vector is orthogonal to the others, and each vector has a length of 1.
(b) Any orthonormal set is a basis for the set it spans. This is because an orthonormal set is linearly independent, and any set of linearly independent vectors that spans a vector space forms a basis for that space.
(a) To prove that the standard basis for R³ is an orthonormal set, we need to show that each vector is orthogonal to every other vector and that each vector has a length of 1. In the case of the standard basis, the vectors (1, 0, 0), (0, 1, 0), and (0, 0, 1) are mutually orthogonal, meaning their dot products are zero. Additionally, each vector has a length of 1, as they are unit vectors. Therefore, the standard basis for R³ is an orthonormal set.
(b) To prove that any orthonormal set is a basis for the set it spans, we need to show that the set is linearly independent and spans the vector space. An orthonormal set is by definition linearly independent because the vectors are orthogonal to each other. This means that no vector in the set can be written as a linear combination of the others. Furthermore, since the vectors span the set they form, any vector in that set can be expressed as a linear combination of the vectors in the orthonormal set. Therefore, the orthonormal set forms a basis for the set it spans.
In conclusion, the standard basis for R³ is an orthonormal set, and any orthonormal set is a basis for the set it spans.
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2. Kris read each day of her vacation. The following is a list of how many pages she read each day:
9a
ya
428
105, 39, 83, 54, 84, 75, 52, 96
a. Create a stem-and-leaf plot to represent this data.
b. Create a box plot to represent this data.
C.
d.
What are the upper and lower quartiles?
Which representation gives you more information about Kris' data? Why?
width x Write an expression for: 002
Step-by-step explanation:
a. The stem-and-leaf plot for Kris's data is:
0 | 9
1 | 05 39 54 75 83 84
4 | 28 28
9 | 6
b. The box plot for Kris's data is:
| 0 1 2 3 4 5 6 7 8 9
---- | ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
10 | |
20 | |
30 | |
40 | |_____
50 | |___ |_
60 | |
70 | |______ |
80 | |___| |___|
100 | |
c. The lower quartile is 54 and the upper quartile is 84.
d. The box plot gives more information about Kris's data because it provides a visual representation of the distribution of the data, including measures of central tendency and variability. The stem-and-leaf plot is useful for showing the individual data points, but it can be difficult to see the overall pattern in the data.
e. The expression for 002 is simply 2, since leading zeros do not change the value of a number.
If a ball is thrown upward at 64 feet per second from a height of 8 feet, the height of the ball can be modeled by S = 8 + 64t-16t^2 feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 68 feet? It takes___seconds for the ball to reach the height 68 feet.
The ball reaches a height of 68 feet after 1.25 seconds.
To determine the time it takes for the ball to reach a height of 68 feet, we can set the equation S = 68 and solve for t. Substituting the values into the equation S = 8 + 64t - 16t^2, we get 68 = 8 + 64t - 16t^2. Rearranging the equation and setting it equal to zero, we have 16t^2 - 64t + 60 = 0. Factoring this quadratic equation, we get (4t - 6)(4t - 10) = 0. Solving for t, we find two possible values: t = 1.5 and t = 2.5. However, since we are considering the upward motion of the ball, we take the positive value, which is t = 1.25 seconds.
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a) What are the two features that make this shape a square?
4 right-angles and
1
b) A quadrilateral has no pairs of parallel sides.
What two shapes could it be?
c)
A triangle has one pair of equal sides and one pair of equal angles.
What is it called?
a) a square has 4 right angles and all 4 sides are the same lengths
b) not sure, I'll edit later when and if I know
c) isosceles triangle
Solve the equation. 5+3|x+2|= 38 A) 10,-10 B) 9.-13) C) 7,-21 D) 5,-5)
Crop researchers are interested in the productivity of a new variety of corn. They plant 123 plots with a randomly-selected seeds of the new variety, record the yield in bushels per acre, and find that a 99% confidence interval for the true mean yield is 118 to 130 bushels per acre.
a. What is the point estimate from this sample?
b. What is the margin of error?
c. interpret the 99% confidence interval 118 to 130 in the context of the problem
d. Interpret the confidence level of 99% in the context of the problem
a)The point estimate is (118 + 130) / 2 = 124 bushels per acre. b) the margin of error is (130 - 118) / 2 = 6 bushels per acre. c) It means that we are 99% confident that the true mean yield of the new variety of corn falls within this range. d) It indicates a high level of confidence in the estimate and provides a narrow range.
a. The point estimate from this sample is the midpoint of the confidence interval, which is the average of the upper and lower bounds. In this case, the point estimate is (118 + 130) / 2 = 124 bushels per acre.
b. The margin of error is the range around the point estimate that gives the uncertainty in the estimate. It is calculated by taking half the width of the confidence interval. In this case, the margin of error is (130 - 118) / 2 = 6 bushels per acre.
c. The 99% confidence interval of 118 to 130 bushels per acre means that we are 99% confident that the true mean yield of the new variety of corn falls within this range. In other words, if we were to repeat this experiment multiple times and calculate confidence intervals, approximately 99% of those intervals would contain the true mean yield of the new corn variety.
d. The confidence level of 99% means that if we were to repeat this sampling process multiple times and calculate confidence intervals, approximately 99% of those intervals would contain the true mean yield of the new corn variety. It indicates a high level of confidence in the estimate and provides a narrow range within which we can reasonably expect the true mean yield to fall.
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help asap???
A box contains 5 black shirts, 8 blue shirts, 7 black pants, and 10 blue pants. Determine the probability of randomly selecting a black piece of clothing or a pair of pants. Use to explain your answer.
Answer:
the probability of picking a black clothing is 12/30 (6/15), and the probability of picking a pair of pants is 17/30
Step-by-step explanation:
First we have to figure out how much will it be out of, to do that you have add the amount of clothing there is (in this case 30).
Determine how many pairs of black clothing:
you must add up the amount of black clothes so 5+7=12, so there are 12 black clothing and 30 in total so the chance is 12/30 if you want it reduced it could be 6/15.
determine how many pairs of pants:
Now it's the same as last step add up all the pairs of pants the question has so 7+10=17. so there are 17 pants out of 30 pieces of clothes so 17/30
(sorry if this isnt a good explanation, I tried)
which expression i equivalent to this polynomial expression (5xy^2+3x^2-7)*(3x^2y^2-cy^2+3y^2+4)
Answer:
Option (B)
Step-by-step explanation:
By adding two polynomials,
(5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4)
Now by adding the similar terms,
= (5xy² - xy²) + 3x² + 3x²y² + 3y² - 7 + 4
= 4xy²+ 3x² + 3x²y² + 3y² - 3
= 3x²y² + 4xy² + 3x² + 3y² - 3
Therefore, Option (B) will be the correct option.
QUESTION 6 Determine whether the set {P₁, P2, P3} is linearly independent in P2, where p₁ = 2 + x + 3x² + 4x³, p₂ = 4+3x+2x² + x³ and p3 = 1 + 2x + 3x² + 4x³. Show all working. [7 marks]
We need to determine whether the set {P₁, P₂, P₃} is linearly independent in P₂, where P₁ = 2 + x + 3x² + 4x³, P₂ = 4 + 3x + 2x² + x³, and P₃ = 1 + 2x + 3x² + 4x³. In this problem, we will perform the necessary calculations to determine the linear independence of the set.
To determine the linear independence of the set {P₁, P₂, P₃}, we need to check if the only solution to the equations c₁P₁ + c₂P₂ + c₃P₃ = 0, where c₁, c₂, and c₃ are constants, is the trivial solution (c₁ = c₂ = c₃ = 0).
We set up the equation as follows:
c₁(2 + x + 3x² + 4x³) + c₂(4 + 3x + 2x² + x³) + c₃(1 + 2x + 3x² + 4x³) = 0
Multiplying through and combining like terms, we get:
(2c₁ + 4c₂ + c₃) + (c₁ + 3c₂ + 2c₃)x + (3c₁ + 2c₂ + 3c₃)x² + (4c₁ + c₂ + 4c₃)x³ = 0
For this equation to hold true for all values of x, each coefficient of x and its powers must be zero. Therefore, we have the following system of equations:
2c₁ + 4c₂ + c₃ = 0 (1)
c₁ + 3c₂ + 2c₃ = 0 (2)
3c₁ + 2c₂ + 3c₃ = 0 (3)
4c₁ + c₂ + 4c₃ = 0 (4)
Solving this system of equations, we find that the only solution is c₁ = c₂ = c₃ = 0. This implies that the set {P₁, P₂, P₃} is linearly independent in P₂.
Therefore, the set {P₁, P₂, P₃} is linearly independent in P₂.
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Write the equation of the line parallel to the given line and passing through the given point.
e
y=6 through (3,4)
Answer:
y = 6x - 14
Step-by-step explanation:
Plug-in the given to point-slope formula:
m=6
x1= 3
y1= 4
y-y1= m(x-x1)
y- 4 = 6(x - 3)
y- 4 = 6x - 18
y - 4 + 4 = 6x - 18 +4
y = 6x - 14
A soccer field is 120 meters long. A soccer player rins from one end of the field to the other end 5 times.
How many meters did he run?
Answer:
The answer is 600 metres.
im not sure how to do this
Answer:
[tex]\frac{1}{2}, \frac{1}{4}[/tex]
Step-by-step explanation:
Each next term is half of the last term. So, the next term is 1 ÷ 21 ÷ 2 = [tex]\frac{1}{2}[/tex] The next, and last term, is half of 1/2: [tex]\frac{1}{2}[/tex] ÷ 2 = [tex]\frac{1}{4}[/tex]I hope this helps!
If 2a-b:2a+b=1:2, find the value of a:b.
Answer:
a:b = 3:2
Step-by-step explanation:
You are given:
2a - b 1
----------- = ------
2a + b 2
Then, through cross-multiplication, we get:
4a - 2b = 2a + b, or
2a = 3b
We want the value of the ratio a:b. To obtain this, divide both sides by b, which results in
2a
------- = 3
b
Finally, we divide both sides by 2, obtaining the desired ratio:
a:b = 3:2
What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
Need Help. 25 Points!
Please Show work, Thanks! :)
Answer:
B
Step-by-step explanation:
We want to find the quadratic regression formula given the table.
So, let's use the quadratic regression function on your graphing calculator. I don't have one on me, but I believe you simply need to enter the data and hit quadratic regression or something similar.
I'm going to use an online quadratic regression calculator by Keisan Casio.
Refer to the screenshot.
Note that it says to use the 24-hour clock to represent time after noon. So, 2 P.M. will just be 14, 4 P.M. will be 16, etc.
Therefore, our quadratic regression equation is, approximately:
[tex]y=-0.511x^2+14.96x-35.8[/tex]
The choice that best represents this is B.
So, our answer is B.
And we're done!
