Answer:-3+(n-1)*7
Step-by-step explanation:
Nth term = -3+(n-1)*7
What is the value of x in the equation 8x - 2y = 48, when y = 4?
6
7
14
48
Answer:
The answer is 7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
8x - 8 = 48
8x = 56
x = 7
. Cai thinks of the area of the poster as the sum of the areas of the
three separate sections. Write an expression that represents Cai's
way of thinking. What does Cai's expression let you see about the
layout that Brett's expression does not?
On solving the provided question, we can say that Cai's thinking expression will be area of the poster k = Ax Bt +Cz => K = x^2 + lb + 1/2wm
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
Cai's thinking expression will be
area of the poster k = Ax Bt +Cz
Ax = x^2
Bx = lb
Cz = 1/2wm
K = x^2 + lb + 1/2wm
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If points are (2,8), (4,16), and (14,56) what is the y-intercept?
The y - intercept, based on the points of the graph, can be found to be 0
How to find the y - intercept ?To find the y - intercept, you can use the slope - intercept equation which is:
y = mx + b
Where :
m = slope
b = y - intercept
Solve for the slope using ( 2, 8 ) and ( 14, 56 ) to be:
= ( Y2 - Y1 ) / ( X 2 - X 1 )
= ( 56 - 8 ) / ( 14 - 2 )
= 4
Given the slope as 8, and the point ( 2, 8 ), the y - intercept would be:
y = mx + b
8 = 4 ( 2 ) + b
b = 8 - 8
b = 0
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The table gives the average mass of a sunfish after it is born. Which graph below would best represent the growth in mass of the sunfish?
Answer:
lower option
Step-by-step explanation:
As time passes (as x increases) the sunfish's mass grows exponentially, meaning that its growth each 5 weeks increases rather than staying constant, as a linear function would.
Thus, the lower option is the correct one, as the line's growth is exponential, rather than linear, as the top one is.
Please Show your work
Two consecutive angles in a parallelogram have measures (2a+33) and (5a+14) find the measure of the smaller angle
Smaller angle is (2a+33) is 73°
What is Parallelogram?
A parallelogram is a geometric object with sides that are parallel to one another in two dimensions.
A parallelogram's adjacent angles add up to 180 degrees.\
Step by step Explaination:
Measures of two angles of parallelogram are (2a+3) and (5a+14).
As we all know , Measure of Supplementary Angles = 180°
Therefore,
(2a + 33°) + (5a+14°) = 180°
10a + 28°+ 165a+ 462° = 180°
175a + 490°= 180
175a=180-490°
175a=-310
a=310/175
a=20°
(i) 2a + 33°
= 2*20° + 30°
= 40+33°
=73°
(ii) 5a+14°
=5*20+14°
=100+14°
=114°
Smaller angle is (2a+33) is 73°
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What do you say about the lines represented by 2x 3y 9 0 and 4x+ 6y 18 0?
The given lines represented by 2x + 3y - 9 = 0 and 4X + 6y - 18 = 0 will have an infinite number of solutions so the lines are coincident lines.
2x + 3y - 9 = 0
4x + 6y - 18 = 0
We need to find the representation of lines.
Here the equation form is
a₁+ b₁ + c₁ = 0
Comparing a, b and c
a₁/a₂ = 2/4 = 1/2
b₁/b₂ = 3/6 = 1/ 2
c₁/c₂ = (-9) /(- 18) = 1/ 2
so
a₁/a₂ = b₁/b₂ = c₁/c₂
Hence this will have an infinite number of solutions so the lines are
coincident lines.
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ariana also has 33 other treats: barkies, poopsicles, and k9nies. she wants to distribute one piece of each among her 66 dogs. there are no restrictions on which or how many treats each dog may receive. in how many ways this can be done?
To distribute 33 treat to her 6 dogs Ariana has 1947792 ways
Since the order of distribution doesn't matter we will apply concepts of combination.
combination = nCr =n!/(r!(n-r!)
where n is the total number of objects
r is the number of chosen objects from the total.
Here, 33C6 =36!/6!.30!
= 36x35x34x33x32x31/6x5x4x3x2
1947792
Therefore, Ariana can distribute 33 treats between her 6 dogs in 1947792 ways.
Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!
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EFGH is translated 6 units to the left and 3 units up.
What are the coordinates of F’?
The coordinates of F' would be (2, 4). This is because F was translated 6 units to the left and 3 units up. To calculate the coordinates of F', you must subtract 6 from the x-coordinate of F and add 3 to the y-coordinate of F. Therefore, if F was (8, 1), then F' would be (2, 4).
F = (8, 1)
F' = (8 - 6, 1 + 3)
F' = (2, 4)
The coordinates of F' can be found by translating F 6 units to the left and 3 units up. To calculate the coordinates of F', you must subtract 6 from the x-coordinate of F and add 3 to the y-coordinate of F. For example, if F is located at (8, 1), the coordinates of F' would be (2, 4). This is because 8 - 6 = 2 and 1 + 3 = 4. Therefore, translating F 6 units to the left and 3 units up would result in the coordinates of F' being (2, 4). This principle applies to any initial coordinates, so you can use this method to calculate the coordinates of F' for any starting point.
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What is 100 - (9 - 3)2
Answer:
88
Step-by-step explanation:
100 - (9 - 3)2
100 - (6)2 = 100-12 = 88
100pts and Brainiest
Erin works at HEB and earns $10 per hour. She worked 32 hours last week and had $28.49 in taxes and deductions. What is her net pay?
Question 3 options:
$320
$291.51
$348.49
$500
Answer:
$291.51
Step-by-step explanation:
So, as Erin earns $10 per hour, she worked 32 hours and earned $320.
32x10=320.
After taxes, (the bane of our life!) it'll be 320-28.49=
$291.51
Your company is testing a new auto engine in a race car. The race car is going in a 2-mile track. If the first lap was exactly at 2 minutes, so that the average speed for the first lap was 1. 00 mile per minute, what would be the time required for the second lap so that the overall average speed will be 2 miles per minute?
The time required for the second lap so that the overall average speed will be 2 miles per minute is 0.6 minutes.
Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:
Speed = distance / time
Given information:
Distance = 2 miles
Time spent for the first track (time₁) = 2 minutes
Speed for the first lap (speed₁) = 1 mile per minute
Overall speed ([tex]speed_{t}[/tex]) = 2 miles per minute
[tex]speed_{t}[/tex] = (speed₁ + speed₂) / 2
2 = (1 + speed₂) / 2
2 * 2 = 1 + speed₂
4 = 1 + (distance₂ / time₂)
4 = 1 + (2 / time₂)
3 = 2 / time₂
time₂ = 2 / 3 ≈ 0.6 minutes
Thus, the time required for the second lap so that the overall average speed will be 2 miles per minute is 0.6 minutes.
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f(x)= -3x^2 - 6x + 1
The value of the function f(8) would be equal to -239
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
We are given that the function is
f(x)= -3x² - 6x + 1
Therefore, we have;
-3(8) ²-6(8)+1
-19²-48+1
-240+1
=-239
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The complete question is;
F(x)=−3x ² −6x+1 Find f(8)
What is the value of the expression −215 − 53 − (−6)?
168
156
−274
−262
The cost of the book to the cost of a dictionary is 3:8 the ratio of the cost of a dictionary to the cost of the folder is 4:1 find the ratio of the cost of the book to the dictionary to the folder
The ratio of the cost of the book to the dictionary to the folder is 3:4:1
How to calculate the ratio of the cost of the book to the dictionary to the folder?The cost of the book to the cost of the dictionary is 3:8
The ratio of the cost of the dictionary to the cost of the folder is 4:1
Hence the cost of the ratio of the book to the dictionary to the folder is 3:4:1
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The ratio of the cost of the book to the dictionary to the folder is 3:4:2.
What is the ratio between the cost of the book to the dictionary to the folderThe ratio of the cost of the book to the cost of a dictionary is 3:8. This means that for every 8 dollars spent on a dictionary, 3 dollars are spent on a book.
The ratio of the cost of a dictionary to the cost of the folder is 4:1. This means that for every 1 dollar spent on a folder, 4 dollars are spent on a dictionary.
To find the ratio of the cost of the book to the dictionary to the folder, we need to combine the two ratios above. To do this, we can first find the equivalent ratio of the cost of the book to the dictionary. To do this we can multiply the ratio of the cost of the book to the dictionary with the ratio of the cost of the dictionary to the folder.
3/8 * 4/1 = 12/8 = 3/2
So, the equivalent ratio of the cost of the book to the dictionary to the folder is 3:8:1. This means that for every dollar spent on a folder, 3/2 dollars are spent on a book and 8/2 dollars are spent on a dictionary. This can be simplified to 3:4:2
The ratio is 3:4:2
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Answer the three questions show work a little so it looks like I tried
Answer:
1. The two turkeys that had to be excluded weighed less than 25 pounds and more than 40 pounds. So the combined weight of the two turkeys would be 25 + 40 = 65 pounds.
2. The largest turkey exceeded the maximum weight of 40 pounds by 40 - 33 = 7 pounds.
3. Of the six turkeys Zara was permitted to sell, the combined weight of the turkey that weighed the least and the turkey that weighed the most would be 25 + 40 = 65 pounds.
Use the properties of radicals to simplify the expression. Explain
Answer: you didn’t even say please
explanation: why don’t you ask your mother you make me sad
of the 435 000 deaths attributed to tobacco smoking in 2000 how many were caused by secondhand smoke
The approximate number caused by secondhand smoke is 35,000.
Secondhand smoke is defined as the smoke that is inhaled by someone who is not the main smoker of the cigarette and is typically present near the main smoker while he or she is smoking.
35 000 deaths from secondhand smoke and 1000 baby deaths from maternal smoking are included in the predicted 435 000 deaths from smoking in the year 2000. Environmental tobacco smoke, often known as secondhand smoke, includes more than 7000 carcinogenic and harmful compounds.
Some studies suggest that second-hand smoke poses a greater risk due to the presence of any residue from the initial smoker's lung.
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need help with these 2 questions
The ratio of output that are two values apart is 1.09.
Q2: the function for the given table is exponantial.
What is an exponential function?A mathematical function with the form f (x) = axe is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that are most frequently utilized.
Given table is an exponential function,
Number of years from now Value of a figurine ($)
0 55
1 57.37
2 59.83
3 62.40
4 65.09
to find the ratio of output that are two values apart,
to find the ratios of 59.83:55,
62.40:57.37, and 65.09:59.83
since the function is exponential the ratios are in proportion and ratio is equal,
59.83/55 = 62.40/57.37 = 65.09/83 = 1.09.
ratio is 1.09.
Q2
X f(x)
-5 8192
-3 512
-1 32
1 2
3 1/8
to find whether the functions are linear or exponential,
From the given table it is noticed that the rate of change is not constant, therefore it is not a linear function,
The general form of an exponential function is
y = abˣ
From the given table it is noticed that the function passes through the points (1,2) and (3, 1/8). It means the equation must be satisfied by these points.
2 = ab¹
1/8 = ab³
solving the equation we get,
b = 1/4
and a = 8
equation = y = 8(1/4)ˣ
checking the points,
f(-5) = 8(1/4)⁻⁵ = 8192
f(-3) = 8(1/4)⁻³ = 512
f(1) = 8(1/4)¹ = 2
so the function is exponential.
Hence, the ratio for the terms is 1.09.
Q2: te function is exponential.
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Does someone mind helping me with this? Thank you!
Using elimination method, the solution of the system of equation 3x + 5y = -2, -x + 2y = 8 is x = -4 and y = 2.
How to solve system of equation?System of equation can be solved using different method such as graphical method, elimination method and substitution method.
Let's solve the system of equation by elimination method.
3x + 5y = -2
-x + 2y = 8
multiply equation(ii) by 3
3x + 5y = -2
-3x + 6y = 24
add the equation
11y = 22
divide both side of the equation by 11
y = 22 / 11
y = 2
Let's find the value of x.
-x = 8 - 2y
-x = 8 - 2(2)
-x = 8 - 4
-x = 4
x = -4
Therefore,
x = -4 and y = 2.
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7 out of every 8 children surveyed own a bike. The difference between the number of students who own a bike and those who do not is 72. How many students were surveyed
is 90
Solving a simple equation we will see that there were 96 students sampled.
How many students were surveyed?We know that 7 out of every 8 children have a bike.
Then if we have a sample of N students, we can expect that the number of students with a bike will be:
N*(7/8)
And the number of students that do not have a bike is:
N*(1/8)
In this case, we know that the difference betwwen these numbers is 72, so we can write the equation:
N*(7/8) - N*(1/8) = 72
We can solve that for N.
N*(6/8) = 72
N = (8/6)*72 = 96
There are 96 students sampled.
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HELP!
I cant get this wrong
Answer:
A. [tex]6x+2[/tex]
Step-by-step explanation:
Combine like terms.
[tex]8x-5-2x+7=6x+2[/tex]
Answer:
A. 6*+2 tell if correct.
you need simplify so you do (8*-5) +(-2*+7) = 6*+2.
What is an angle that is open less than a right angle and has a Measure less than 90°?
Answer:
Acute Angle
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
its less than 90
I need help please ;-;
Answer: The length of AC to one decimal place in the trapezium is 18.1 cm
Step-by-step explanation: Using Pythagoras theorem, we can find the length AC
Pythagoras theorem
c² = a² + b²
Therefore, draw a line from the point B to the line AD and call it line BX.
BX ║ CD
Therefore,
16² - 7² = BX²
256 - 49 = BX²
BX² = 207
BX = √207
BX = 14.3874945699
BX = 14.4 cm
Therefore,
11² + 14.4² = AC²
121 + 207.36 = AC²
AC = √328.36
AC = 18.120706388
AC = 18.1 cm
Hoped This Helped!
9 points
11. Tracy and her family moved to the city in
2003. Use the equation to predict how many
retail stores there were in 2003.
There exist 155 retail stores there were in 2003.
What is mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. Mathematical addition, subtraction, multiplication, and division are its four foundational operations. Arithmetic mean (average) = Sum of values / Number of values.We can solve one-step equations in four different ways: by adding, subtracting, multiplying, and dividing. Both sides of an equation will stay equal if we add the same amount to each side.
y=11x+12
Substituting the equation,
2003-1990=13
13×11=143
Simplifying
y=143+12
We get
155=143+12
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I need help please!
Which of the following expressions is correctly written in scientific notation?
0.22*10^-4 Is wrong.
Answer:
7.31 × [tex]10^{-2}[/tex]
Step-by-step explanation:
a number expressed in scientific notation has the form
a × [tex]10^{n}[/tex]
where 1 ≤ a < 10 and n is an integer
the only one fitting this description is
7.31 × [tex]10^{-2}[/tex]
determine the x intercept for 3x+2y=14
a (7,0)
b (14/3,0)
c (0,14/3)
d (0,7)
Randi and Leah are studying together for an exam. Let X represent the number of hours Randi spends studying
nightly, and let Y represent the number of hours Leah spends studying nightly. The mean of X is 4. 5 hours with a
standard deviation of 1. 1 hours and the mean of Y is 3. 7 hours with a standard deviation of 1. 8 hours. Assuming these are independent random variables, which answer choice correctly calculates and interprets the standard
deviation of the sum, S = X + Y?
The required standard deviation as calculated from the data given above is found out to be as , 2.1 answer.
As given in the question , S = x + y ,
here , x = the variance of Randi and let y be the variance of Leah.
Therefore ,
σ total² = σ²randi + σ²leah
= 1.1² + 1.8²
=4.45
Hence , σ total = √4.45 = 2.1.
The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is known as the square root of the variance of the given population. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
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Please solve these two questions ASAP for 30 points and brainliest.
The other equations in the system are:
y = (-1/6)x + 3
y = (1/2)x - 1
The value of x is 18.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation
We have,
The solution to the system of equations is (6, 2).
Now,
y = (-1/6)x + 3
2 = (-1/6) x 6 + 3
2 = -1 + 3
2 = 2
This is true.
y = (1/2)x - 1
2 = (1/2) x 6 - 1
2 = 3 - 1
2 = 2
This is true,
Now,
(1/2)x - 7 = 1/3 (x - 12)
(1/2)x - 7 = (1/3)x - 4
(1/2)x - (1/3)x = -4 + 7
(3 - 2)x / 6 = 3
(1/6)x = 3
x = 3 x 6
x = 18
Thus,
The other equations are:
y = (-1/6)x + 3
y = (1/2)x - 1
The value of x is 18.
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1. Other equations of the system are y = (-1/6)x + 3 and y = (1/2)x - 1
2. Solution of the equation is x = 18.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign = .Learn more about equation here:
Given,
1. Solution of the system of equation = (6 , 2)
To be the equation of the system, solution should satisfy the equations,
A) y = -3x
Putting value x = 6 , y = 2
2 = -3(6)
2 ≠ 18
LHS ≠ RHS
This equation is not in the system.
B) y = -3/2 x + 6
Putting value x = 6 , y = 2
2 = (-3/2)6 + 6
2 = -9 + 6
2 ≠ -3
LHS ≠ RHS
This equation is not in the system.
C)y = (-1/6)x + 3
Putting value x = 6 , y = 22 = (-1/6)6 + 3
2 = -1 + 3
2 = 2
LHS = RHS
This equation is in the system.
D) y = (2/3)x -1
Putting value x = 6 , y = 2
2 = (2/3)6 - 1
2 = 4 - 1
2 ≠ 3
LHS ≠ RHS
This equation is not in the system.
E) y = (1/2)x - 1
Putting value x = 6 , y = 2
2 = (1/2)6 -1
2 = 3 - 1
2 = 2
LHS = RHS
This equation is in the system.
F) y = 4x - 2
Putting value x = 6 , y = 2
2 = 4(6) - 2
2 = 24 - 2
2 ≠ 22
LHS ≠ RHS
This equation is not in the system.
2. (1/2)x - 7 = 1/3(x - 12)
Using distributive property
(1/2)x - 7 = (1/3)x - 4
Moving like terms to same side
(1/2)x - (1/3)x = 7 - 4
Simplifying
(3x - 2x)/6 = 3
x = 3 × 6
x = 18
Hence,
1. y = (-1/6)x + 3 and y = (1/2)x - 1 are the the other equations of the system.
2. x = 18 is Solution of the equation.
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How do you integrate square root of 3x?
when you read a bar graph, it is most important for you to group of answer choices remember that correlation facilitates prediction mentally transform the data into a scatterplot note the range and size of the scale values identify the value of the standard deviation
When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.
When reading a bar graph, it is most important to remember to:
Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.
Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.
Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.
It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.
Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.
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When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.
When reading a bar graph, it is most important to remember to:
Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.
Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.
Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.
It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.
Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.
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