Answer:
It's the 3rd one: Commutative Property of Equality.
Step-by-step explanation:
Original: 3a + 6 = 2 - 5a + 7
But then on step one, the -5a was moved around. The -5a took the position of where the +7 was located and the +7 took the position of where the - 5a was located. (Basically, they switched)
Step one: 3a + 6 = 2 + 7 -5a
(I really hope this helps.) Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
3
Select the correct answer.
What is the inverse of the function f(x)=19/x2
If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
What is the meaning of inverse function?An inverse function in mathematics exists function which "reverses" the another function.
Let f(x) = y, then the inverse function, \($x=f^{-1}(y)$\)
\($&f(x)=\frac{19}{x^{2}} \\\)
\($&y=\frac{19}{x^{2}} \\\)
\($&x^{2}=\frac{19}{y} \\\)
simplifying the equation, we get
\($&x=\sqrt{\frac{19}{y}} \\\)
\($&x^{-1}=f^{-1}(y)=\sqrt{\frac{19}{y}} \\\)
\($&f^{-1}(y)=\sqrt{\frac{19}{y}},\) then \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
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What substitution should be used to rewrite x ^ 8 - 3x ^ 4 + 2 = 0 as a quadratic equation?
Answer:
Let m= x^4
m^2 -3m +2 = 0
Step-by-step explanation:
x ^ 8 - 3x ^ 4 + 2 = 0
Let m= x^4
m^2 -3m +2 = 0
can you please help me solve this??if y varies directly with X and Y= 26 when x= 8 write the equation that represents this direct variation relationship.
the coordinate point is :
(8,26)
y varies directly with X a
y= kx
Where k is a constant
Replacing:
26= k8
Solve for k:
26/8= k
3.25=k
The equation is:
y = 3.25x
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
g- 16/4 +2
simplification of expression will be g - 2
Our expression is g - 16/4 + 2
16/4 = 4
so we c will write it as
g - 4 + 2
which can be further simplified to
g - 2
Therefore, our simplified expression comes out to be g - 2.
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PLS HELP ME
••Pls show your work pls and thank you••
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.
Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = \(\frac{\text{Change in earnings}}{\text{Change in hours worked}}\)
= \(\frac{3700-3200}{140-120}\)
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
What is the instantaneous rate of change at x=2 for the function
f(x)= 2x - 5
The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.
How to solve for the rate of changeThe derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).
Taking the derivative of f(x) = 2x - 5:
f'(x) = 2 * (d/dx)(x) - (d/dx)(5)
= 2 * 1 - 0
= 2.
The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.
Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.
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The graph shows equivalent ratios. Khalid plots a point to show a fourth equivalent ratio. If the x-value of Khalid’s point is 35, what is the y-value? 20 25 28 35
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Help
Pls will mark brainliest!!!
CStep-by-step explanation:
Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Let x represent the months and y represent the average maximum monthly temperature.
Plot the data on a scatterplot. Choose the plot that best represents the data.
a.
On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6).
b.
On a coordinate plane, points are around (5, 85), (6, 90), (7, 80), (8, 70), (9, 60), (10, 50), (48, 1), (50, 3), (62, 4), (66, 4), (76, 5), (82, 8).
c.
On a coordinate plane, points are around (0, 49), (1, 52), (2, 62), (3, 68), (4, 78), (5, 85), (50, 12), (60, 10), (70, 10), (80, 9), (88, 8), (87, 9), (89, 9).
d.
On a coordinate plane, points are around (0, 48), (2, 52), (13, 50).
Please select the best answer from the choices provided
a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6) best represents the data.
This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.
Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.
Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.
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A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different cities.
City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85
Assume that the population variances of both groups are different. Test if there is sufficient evidence that the mean costs of a meal at fast food restaurants in two different cities are different. Conduct the hypothesis testing (optional) in paper.
Answer:
We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
Step-by-step explanation:
Given :
City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 ≠ 0
n1 = 26 ; x1 = 4.05 ; s1 = 0.55
n2 = 32 ; x2 = 5.15 ; s2 = 0.85
Tstatistic :
(x1 - x2) / √(s1²/n1 + s2²/n2)
(4.05 - 5.15) / √(0.55²/26 + 0.85²/32)
-1.1 / 0.1849668
= - 5.947
Using the smaller n;
df = n - 1 ; 26 - 1 = 25
Pvalue = (-5.947, 24)
Pvalue = 0.000001
Since Pvalue < α ; We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1
How to find the area of a regular polygon
A polygon is regular when all sides and central angles have the same length.The area of a regular polygon (A) can be found in terms of the number of sides (n) and the apothema (a), whose length is 17, by using the following formula:
A = 0.25 · n · a² · tan (180/n) (1)
If we know that n = 8 and a = 17, then the area of the regular octagon is:
A ≈ 239.415
Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1
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A questionnaire was sent to 34,000 randomly chosen individuals living in USA asking about their current and past smoking habits. For those who answered the questionnaire, they are tracked in the next 10 year for the death rate. Their data was pulled from the health record database so that if they died, the death is recorded with the diagnosis of the cause of the death. The death rates due to heart disease among the smokers and nonsmokers are then compared to see if smoking causes heart disease. What is the targeted population
Answer:
The targeted population is USA residents who died of heart disease.
Step-by-step explanation:
According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease." This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not. The main concentration for the study defines the targeted population. It is this group of residents who died of heart disease that is the population of interest. This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.
when 10 is subtracted from x the result is 6
Answer:
10-4=6 :)
Step-by-step explanation:
Answer:
when 10 is subtracted from x the result is 6
x - 10 = 6
math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Available is 23 cm taller than Olivia is half the height of Luca. If lucas is 1.77m tall, how tall are available and Olivia? Express their heights in centimeters.
Answer:
available is 111.5cm tall and Olivia is 88.5cm
Step-by-step explanation:
ok so Olivia is half the height of Luca which means the height of Luca divided by 2
177÷2=88.5
so Olivia is 88.5cm tall
we know that Available is 23cm taller than Olivia which means
the height Available= the height of Olivia+ 23cm
=88.5+23
=111.5
so Available is 111.5cm tall
Answer:
Available is 111.5 cm tall. Luca is 177 cm tall. Olivia is 88.5 cm tall.
Step-by-step explanation:
A = Available O = Olivia L= Luca= 1.77 meters
1.77 x 100 = 177 cm = L
1.77/2= O
0.855 = O
0.885 x 100 = 88.5 cm
23+O = A
23 + 88.5 = A
111.5cm = A
Available is 111.5 cm tall. Luca is 177 cm tall. Olivia is 88.5 cm tall.
Which phrase describes a transformation of the graph of function f to create the graph of function h?
A. horizontally compressed
B. vertically stretched
C. horizontally stretched
D. vertically compressed
The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.
The answer fam is..... They played 15 games
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Determine the measurement of EF.
EF = 3.47
EF = 3.16
EF = 1.39
EF = 1.1
The measurement of EF = 3.16 of triangle DEF.
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.
It's given that these are similar triangles. In similar triangles, the side lengths are proportional.
We can write the following equation based on this information:
\(\frac{11}{4.4} = \frac{7.9}{ef}\)
Cross multiply fractions
11EF = 34.76
Divide both sides by 11
Therefore the measurement of EF = 3.16 of triangle DEF.
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Calculate the volume of a sphere with a diameter of 4.
Answer: 33.51 cubic units.
Step-by-step explanation: The equation for the volume of a circle is:
V = (4/3)πr³
where r is the sweep of the circle.
Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:
r = d/2 = 4/2 = 2
Presently we are able plug within the esteem of the sweep into the equation for the volume:
V = (4/3)π(2³) = (4/3)π(8) = 32/3π
Answer: 33.51
Step-by-step explanation:
The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
the price of the coffee was 50 cents a pound 10 years ago.
If the current price of coffee is $4.25 cents a pound, what
percen increase in pace does this represent?
Answer:
bobo tong user nato
Step-by-step explanation:
whha
Create a scatterplot and use the calculator to write an equation:
A scatterplot is a graph that represents the relationship between two continuous variables (x and y)
let 5 ticks represent 50 units on the x axis
let 5 ticks represent 50 units on the y axis
The scatterplot is shown below
The equation is:y=343.78x-8659.59A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk produced, in gallons per week. The least-squares regression line produced from a random sample is . Based on the model, what is the difference in predicted amounts of milk produced between a cow of 5 years and a cow of 10 years
Complete question :
Dairy farmers are aware there is often a linear relationship between age, in years, of a dairy cow in the amount of milk produced, in gallons per week. The least squares regression line produced from a random sample is milk=40.8-1.1(Age). Based on the model, what is the difference in predicted amounts of milk produce between a cow of five years in a cow of 10 years?
Answer:
A cow of five years is predicted to produce 5.5 more gallons of milk per week.
Step-by-step explanation:
Given the regression model :
milk=40.8-1.1(Age)
Milk produced by 5 year old cow using the model :
Milk produced = 40.8 - 1.1(5)
Milk produced = 40.8 - 5.5
Milk produced = 35.3
Milk produced by 10 year old cow using the model :
Milk produced = 40.8 - 1.1(10)
Milk produced = 40.8 - 11
Milk produced = 29.8
Difference in volume of milk produced :
Age 5 milk producrion- Age 10 milk production :
35.3 - 29.8
= 5.5
Answer:
Answer B
Step-by-step explanation:
The difference of 5 years produces a 5.5 gallon per week difference in favor of the younger cow.
which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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Ty received 3/5 of his CDs as gifts. If he has 60 CDs, how many were gifts?
Answer:
36 CDs were gifts-------------------
3/5 part of 60 CD's were gifts.
That makes:
3/5 * 60 = 180/5 = 36 CDs