tell me if the way I did it includes what's in this equation like if its commutative, associative, distributive or combined like terms
Answers
On the first line the distributive property was used. This property says that the product of a constant with a sum of two numbers is equal to the sum of the products.
On the third line the "associative" property was used. This property says that if you have the sum of three numbers the order at which you sum them doesn't affect the results.
Related Questions
10. The data set below shows the mileage and selling prices of eight used cars of the same model. Mileage Price 21,000 $16,000 34,000 $11,000 41,000 $13,000 43,000 $14,000 65,000 $10,000 72,000 $12,000 76,000 $7,000 84,000 $7,000 (a) Calculate r , the correlation coefficient between these two variables. r = (b) Interpret the value of r : the association is positive or negative and (strong or moderate or weak or negligible) (c) Compute the regression line for predicting price from mileage. ˆ y = x + (d) Predict the price of a car with 30,000 miles. $ (e) Does the student with 43,000 miles on it have a higher or lower price than the one predicted by the regression line? Higher Lower
Answers
Step 1
Plot a graph with the given table.
Step 2
Calculate r, the correlation coefficient between the two variables.
[tex]\begin{gathered} \text{From the graph,} \\ r\text{ = }-0.839 \end{gathered}[/tex]Step 3
Interprete the value of r
[tex]\text{The association is a strong and negative relationship}[/tex]Step 3
Compute the regression line for predicting price from mileage
[tex]\hat{y}=-0.118136x+17688.4[/tex]Step 4
Predict the price of a car with 30,000 miles
[tex]\begin{gathered} \hat{y}=-0.118136(30000)+17688.4 \\ \hat{y}=-3,544.08+17688.4 \\ \hat{y}=\text{\$}14,144.32 \end{gathered}[/tex]Step 5
[tex]\begin{gathered} \hat{y}=-0.118136(43000)\text{ + 17688.4} \\ \hat{y}=-5079.848+17688.4 \\ \hat{y}=\text{\$}12608.552\text{ } \\ \hat{y}\approx\text{\$12608.55} \\ \text{The given price for the mileage of 43000 is \$}14000 \\ \text{Therefore, the student with 43000 mileage on it will have a higher price than the one predicted by the regression line.} \end{gathered}[/tex]A company's stock began the day at $ 36.77per share. That price drops by $1.69 each hour. What is the price per share after 5 hours? What would it be after 23 hours if this rate continues? Use pencil and paper. Explain what the signs of the answers mean in this context.
Answers
The price per share after 5 hours is $28.32
The price per share after 23 hours is $-2.1
Given,
A company's stock began the day at $ 36.77per share.
and, price drops be $1.69 each hour.
To find the what is the price per share after 5hours
and, also find what will be after 23 hours rate continues?
Now, According to the question:
The price of the company's stock is initially at $36.77 per share. Each hour the price drops by $1.69. This condition can be modeled by the function:
P(t) = 36.77 - 1.69t
Where t is the time in hours.
The sign means the function is decreasing as time passes.
When t=5 hours, the price will be:
P(5) = 36.77 - 1.69 × 5 = 28.32
The price per share after 5 hours is $28.32
Now find the price when t=23 hours
P(23) = 36.77 - 1.69 × 23 = - 2.1
The price per share after 23 hours is $-2.1
Hence, The price per share after 5 hours is $28.32
The price per share after 23 hours is $-2.1
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a. Plot the data for the functions f(x) and g(x) on a grid.
b. Identify each function as linear, quadratic, or exponential, and use complete sentences to explain your choices.
c. Describe what happens to the function values in each function as x increases from left to right.
d. At what value(s) of x are the function values equal? If you cannot give exact values for x, give estimates.
Answers
For the given tables, we have that:
a. The grids are given at the end of the answer.
b. The functions are classified as follows: f(x) exponential, g(x) linear.
c. When x increases by one unit from left to right, we have that:
f(x) is multiplied by 4.g(x) is increased by 1.d. The functions are equal for a value between 1 and 2, as at x = 1 g(x) is greater while at x = 2 f(x) is greater.
Exponential and linear functionsThe difference between exponential and linear functions is in the rate of change, as:
Linear functions change by a constant amount when x changes by 1.Exponential functions change by a common ratio when x changes by 1.Hence the functions are classified as follows:
f(x) exponential: when x increases by 1, y is multiplied by 4.g(x) linear: when x increases by 1, y increases by 1.We have one exponential and one linear function, so it is quite difficult to solve an equation to verify where they are equal. We have that:
At x = 1, g(x) > f(x).At x = 2, f(x) > g(x).This means that at one point between x = 1 and x = 2, they intersected, that is, they had the same function values.
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What did I do wrong?
Answers
YOU DID NOTHING WRONG ACCORDING TO WHAT YOU WROTE
[tex]2d = f - e \\ \frac{2d}{2} = \frac{f}{2} - \frac{e}{2} \\ d = \frac{f}{2} - \frac{e}{2} [/tex]
RATHER MAYBE IT'S BECAUSE THEY WANT YOU TO WRITE IT IN THIS FORM.
TRY IT THIS WAY
Alvin paddled for 2 hours with a 5-km/h current to reach a campsite. The returntrip against the same current took 7 hours. Find the speed of the boat in stillwater.
Answers
Given:
Alvin paddled for 2 hours with a 5-km/h current to reach a campsite.
Let n be the speed of boat.
Distance is calculated as,
[tex]\begin{gathered} d=rt \\ d=2\mleft(n+5\mright) \end{gathered}[/tex]The return trip against the same current took 7 hours.
[tex]\begin{gathered} d=rt \\ d=7(n-5) \end{gathered}[/tex]Equate both the equations,
[tex]\begin{gathered} 2(n+5)=7(n-5) \\ 2n+10=7n-35 \\ 7n-2n=10+35 \\ 5n=45 \\ n=\frac{45}{5} \\ n=9 \end{gathered}[/tex]Answer: the speed of the boat is 9 mph.
Find sides AM and side AR
AR-9x-2 RM-2x+6 AM-5x-3
Answers
Using the segment addition postulate, the lengths of the sides are given as follows:
AM: 4.5625.AR: -0.8125.Segment Addition PostulateThe segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the smaller segments.
In this problem, the line AM is divided into two segments by point R, as follows:
AR = 9x + 2.RM = 2x + 6.The total length of the line is given by:
AM = -5x + 3.
Hence the solution for x is given as follows:
AR + RM = AM
9x + 2 + 2x + 6 = -5x + 3
11x + 8 = -5x + 3
16x = -5.
x = -5/16
x = -0.3125.
Hence the lengths are:
AM = 5x - 3 = -5(-0.3125) + 3 = 4.5625.AR = 9x - 2 = 9(-0.3125) + 2 = -0.8125.There is a typo in the signals as we have a negative length, which is not possible, but the procedure is as shown in this problem.
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What was the distance of the first part of yuna's swim? round to the nearest tenth as needed. the distance in the first part of her swim was miles.
Answers
Using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, let 'x' be the distance of the 1st part and 'y' be the time in hours of the 1st part.
1st part: 1/4 = x/y (Equation A)2nd part: 0.8 = 1.9 - x/2 - y (Equation B)Plot the equations on the graph as follows:
(Refer to the graph attached below)
Be obtain:
x = 0.7 milesy = 0.5 hoursTherefore, using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
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The complete question is given below:
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was miles.
Answer:
.7
Step-by-step explanation:
Explain how the points A(9,-) and 8(9,3) are related. Use vocabulary words
in your explanation.
Answers
Answer: The points (9,-) and (9,3) Both have the same (y) coordinate.
Step-by-step explanation:
What is the equation of the line that passes through the point (−6,−3) and has a slope of 0?
Answers
The equation of the line that passes through the point (-6,-3) and has a slope of 0 is y = -3
The line is passing through the point = (-6,-3)
The slope of the line = 0
The point slope form is
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the values in the equation
(y-(-3)) = 0×(x-(-6))
We have to convert this equation the slope intercept form
Slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
(y-(-3)) = 0×(x-(-6))
y+3 = 0×(x+6)
y+3 = 0
y = -3
Hence, the equation of the line that passes through the point (-6,-3) and has a slope of 0 is y = -3.
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Determine whether each function is quadratic function by graph
F(x) = 1/2 x - 4
Answers
Can someone help me on this pleaser
Answers
Answer: it should be the third one down
Step-by-step explanation:
Mamadou spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7325 feet. Mamadou initially measures an angle of elevation of 15 degrees to the plane at point A. At some later time, he measures an angle of elevation of 42 degrees to the plane at point BB. Find the distance the plane traveled from point AA to point BB. Round your answer to the nearest foot if necessary.
Answers
The distance between points A and B will be 19201.93 feet.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Mamadou notices an airplane arriving in a straight line and flying directly overhead on the radar. The plane stays at the same height of 7325 feet. Mamadou initially measures a 15-degree angle of inclination to the plane at point A. Later, he detects a 42-degree angle of elevation to the plane at point B.
The distance between points A and B will be given as,
D = 7325 / tan 15° - 7325 / tan 42°
D = 27337.27 - 8135.34
D = 19201.93 feet
The distance between points A and B will be 19201.93 feet.
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Answer:
19202 feet
Step-by-step explanation:
I got the same problem and got it right with that answer.
Use play so value to solve. Derek measured an insect wing that was 0.1 meter long. Leslie measured a different wing that was 1/10 as long as that wing that Derek measured how long is the wing that Leslie measured
Please help I’m desperate thank you
Answers
Two or more expressions with an Equal sign is called as Equation. Derek measured 0.01 metres is the wing that Leslie measured.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
Derrick measured wing length was 0.1 m
The wing that Leslie measured was (1/10) as long as the wing that derrick measured.
We need to measure how long is the wing that Leslie measured.
Multiply 0.1 by (1/10)
0.1×1/10
=0.01 metres.
Hence Derek measured 0.01 metres is the wing that Leslie measured.
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The number 24 is 4 times as many as 6.
Write this comparison as a multiplication equation.
+
Compare with multiplication
Answers
Make 'r' as the subject of the formula
m (n + r) = 5p
Answers
The equation written when r is the subject is:
[tex]\displaystyle{r=\dfrac{5p}{m}-n}[/tex]
To make the term r as the subject of equation means to isolate r-term. In order to do that, we will apply properties of equality.
What are Properties of Equality?Properties of equality are properties regarding equations/equality where states that when either sides are done by something (addition, subtraction, multiplication, division, etc.) then the other sides will also act the same as the acted side.
Example
Suppose we are given an equation of x = y. In this case, x and y are equal to each other. If x = 1 then y = 1. If we decide to add +2 to x we’d have to add it to y too so the result will be x + 2 = y + 2.
Same also applies to other equations!
SolutionIsolating r-term, first, we will apply division property where we divide both sides by m-term:
[tex]\displaystyle{\dfrac{m(n+r)}{m}=\dfrac{5p}{m}}\\\\\displaystyle{n+r=\dfrac{5p}{m}}[/tex]
Next, we use subtraction property to subtract both sides by n:
[tex]\displaystyle{n+r-n=\dfrac{5p}{m}-n}\\\\\displaystyle{r=\dfrac{5p}{m}-n}[/tex]
Please let me know if you have any questions!
Find the pairs (LOTS OF POINTS!)
Answers
1. The pairs for each tent, based on common factors of 40, are given as follows (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (10, 4), (20, 2), and (40, 1).
2. Matching the number of tents with the number of boys is as follows:
Number of Tents Number of Boys1 40
2 20
3 No match
4 10
5 8
6 No match
7 No match
What are the factors?The factors of a number are the numbers that can divide it exactly or without a remainder.
For instance, the factors of the number, 40, are 1, 2, 4, 5, 8, 10, 20, and 40.
Thus, there are 8 ways that the tents can be arranged to accommodate the campers (boys) based on the factors of 40.
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Which statement about nuclear fission is correct?(1 point)
Responses
Nuclear fission takes place in the nucleus of atoms.
Nuclear fission is used to generate water at nuclear power plants.
The fuel for nuclear fission is often helium.
Nuclear fission releases small amount of energy.
Answers
Answer:
(A) Nuclear fission takes place in the nucleus of atoms
Step-by-step explanation:
I took the test!
How much would $500 invested at 6% interest compounded monthly be worth after 5 years? Round your answer to the nearest cent. A.$669.11B.$674.43C.$886.41D.$512.63
Answers
Solution:
Given that;
[tex]\begin{gathered} Principal=P=\text{ \$500} \\ rate=r=\frac{6}{100}=0.06 \\ time=t=\text{ 5 years} \end{gathered}[/tex]To find the amount in 5 years, we will apply the compound interest formula below
[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ Since,\text{ it is compounded montly, n = 12} \end{gathered}[/tex]Substitute the values of the variables into the formula above
[tex]\begin{gathered} A=500(1+\frac{0.06}{12})^{(5\times12)}=500\left(1+\frac{0.06}{12}\right)^{60}=674.42507 \\ A=\text{ \$}674.43\text{ \lparen nearest cent\rparen} \end{gathered}[/tex]Hence, the answer is B
Kaj invests money in an account paying a simple interest of 1.2% per year. If she invests $90 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answers
Answer:
$91.08
Step-by-step explanation:
Interest = $90 × .012 = $1.08
Total amount = $90 + $1.08 = $91.08
What is 1 1/4 Divided by 10
Answers
Answer: 0.125
Step-by-step explanation:
1 1/4 is equal to 5/4
5/4 is equal to 1.25
then you would do 1.25 divided by 10
once you do that you would get your answer of 0.125!
Answer:
11/4÷10 =
11/4 ×1/10=
11/40=
0.275
Step-by-step explanation:
you can ask questions for clarification
Could I please get help with this this problem, and find out their answers?
Answers
The image of triangles are given .
a.
[tex]\angle J\cong\angle E,\angle K\cong\angle G,\angle L\cong\angle F[/tex]b. Find the ratio,
[tex]\frac{EG}{JK}=\frac{15}{10}=\frac{3}{2}[/tex][tex]\frac{GF}{KL}=\frac{24}{16}=\frac{6}{4}=\frac{3}{2}[/tex][tex]\frac{EF}{GL}=\frac{21}{14}=\frac{3}{2}[/tex]c.Hence the triangles are similar .
[tex]\Delta\text{JKL}\cong\Delta\text{EGF}[/tex]The correct option is A.
14. A function is defined by the
equation y = x² + 3x + 1. Which
statements are true? Select all
that apply.
O The equation in vertex form is y =
5
(x + ²³2) ²
I
A LOT
4
O The equation in vertex form is y = (x + ²)² − ³/
-
O The graph of the function has a minimum of y =
O The domain of the function is all real numbers
-² at x = -²
Answers
The correct statements regarding the quadratic function y = x² + 3x + 1 are given as follows:
A. The equation written in vertex-form is: (x + 3/2)² - 5/4.C. The graph of the function has a minimum of y = -5/4 at x = -3/2.D. The domain of the function is all real values.How to analyze the quadratic function?The quadratic function in this problem is defined as follows:
y = x² + 3x + 1.
Hence the coefficients are given as follows:
a = 1, b = 3, c = 1.
The x-coordinate of the vertex is given as follows:
x = -b/2a = -3/2.
The y-coordinate of the vertex is then given as follows:
y = (-3/2)² + 3(-3/2) + 1
y = 9/4 - 9/2 + 1
y = 9/4 - 18/4 + 4/4
y = -5/4.
Hence the vertex-form definition of the quadratic equation is given as follows:
y = (x + 3/2)² - 5/4.
Due to the positive leading coefficient, the vertex means that the function has a minimum of y = -5/4 at x = -3/2.
The domain of the function is all real values, as the quadratic function has no constraints such as a fraction or an even root.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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Which of the following is not a condition necessary to create a valid probability distribution?
Answers
Given
different choices
Find
Which of the following is not a condition necessary to create a valid probability distribution?
Explanation
Each discrete outcome can have different probability of occuring
Hence the option stating each discrete outcome hsould have equal probability of occuring is not necessary
Final Answer
option (a) is correct option
Write a verbal sentence to represent each equation.
9.3n-3579
10. 2(n³ + 3n²) = 4n
11.
5n
n+3
-=n-8
Answers
The expression's variables can be represented by a different symbol than the conventional x and y.
A mathematical assertion represented in English is known as a verbal expression.What does an algebraic verbal model mean?Talking Model is a formula utilizing the terms found in the problem. Labels matching variables or numerical values to the linguistic model Equational Expression Modification of the Verbal Model by the substitution of mathematical values and variables.How to Convert Algebraic Expressions to Verbal Expressions.
Step 1: Recognize the algebraic operations—such as addition, subtraction, multiplication, and division—used in the expression.Step 2: Write a statement in which a vocabulary word is combined with the numbers to represent each of these processes.Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.
A mathematical assertion represented in English is known as a verbal expression.To learn more about Verbal Expression refer to:
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50 points if this is correct i need this asap please
Which is the best definition of a two-step equation?
In a two-step equation, you must always start by using the division property of equality.
In a two-step equation, you need to use one inverse operation to solve.
A two-step equation is one that you need to use two properties of equality to solve.
A two-step equation is one that you need to use only a single property of equality to solve.
Answers
Answer:
c
Step-by-step explanation:
A two-step equation is one that you need to use two properties of equality to solve.
What is DA equal to? Brainiest if correct and please show your answer.
Answers
Answer:
DA is equal to 25 or BAStep-by-step explanation:
ABC
ADC
Since we know that line CA is equal to line CA because of reflexive propertyAngle BAC and DAC are equal because of definition of an angle bisectorAngle ABC and ADC are equal because of definition of an angle bisectorThis will give us ASA, proving to us that all sides and angles are congruent (this was already given to us)So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25Solve for the value of z.
(7z+7)°
(9z-7)°
Answers
Base on congruency of vertical angles, the value of z is 7.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
In other words, vertically opposite angles are angles that opposed each other at one specific vertex, and are formed by two straight intersecting line.
Vertically opposite angles are congruent to each other.
Therefore,
7z + 7 = 9z - 7
subtract 9z from both sides of the equation
7z + 7 = 9z - 7
7z - 9z + 7 = 9z - 9z - 7
-2z + 7 = - 7
subtract 7 from both sides of the equation
-2z + 7 = - 7
-2z + 7 - 7 = - 7 - 7
- 2z = - 14
divide both sides by - 2
z = - 14 / -2
Therefore,
z = 7
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3.) Martin charges $10 for every 5 bags of leaves he rakes, Last weekend, he raked 25 bags of leaves. How much money did he earn?
Answers
bags of leaves : 5
Cost = $10
Divide the cost by the number of bags:
10/5 = $2 per bag
Now, multiply by 25
2 x 25 = $50
A class consists of 10 boys and 20 girls. Exactly half of the boys and half of the girls have brown eyes. Determine the probability that a randomly selected student will be a boy or a student with brown eyes.
Answers
Answer:
Step-by-step explanation:
30 students 15 have brown eyes 5 of the 15 are boys
1/3 chance a boy with brown eyes will be chosen.
1/2 a chance a student with brown eyes will be chosen
Area of sector in degrees. My answer is 25 pi I just want to check and make sure that’s right
Answers
1) The area of a sector of a circle can be found with the following formula:
[tex]\begin{gathered} A_S=\frac{\alpha}{360}\cdot\pi r² \\ A_s=\frac{90}{360}\dot{\cdot\pi(10)²} \\ A=\frac{\dot{100\pi}}{4} \\ A=25\pi \\ \end{gathered}[/tex]2) Thus the area of the sector is 25π cm²
