Answer: Yes
Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
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Through (-1,-2), slope=-1
An equation of this line in slope-intercept form is y = x - 1.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.At data point (-1, -2) and a slope of -1, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-2) = -1(x - (-1))
y + 2 = x + 1
y = x + 1 - 2
y = x - 1
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Complete Question:
Write an equation of a line through point (-1, -2) with a slope of -1.
3. Old Navy has a 5% off sale on jeans this weekend. Caitlin buys 20 pairs at j dollars each. Is this the
same discount as buying 19 pairs and getting one extra pair for free? How do you know?
The two options do not have the same discount, and we know this because the total cost is different for both options.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To determine if the discount for buying 20 pairs of jeans at 5% off is the same as getting one free pair when buying 19 pairs of jeans, we can compare the total cost of each option.
For the first option, Caitlin buys 20 pairs of jeans at j dollars each with a 5% discount. The total cost would be:
total cost = 20j - 0.05(20j)
total cost = 20j - j
total cost = 19j
For the second option, Caitlin buys 19 pairs of jeans at 5% discount,
total cost = 19j - 0.05(19j)
total cost = 18.05j
Therefore, the two options do not have the same discount, and we know this because the total cost is different for both options.
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tracen el lado que mide 12 centímetros y los arcos de circunferencia de los extremos del segmento con radio igual a la medida de otro lado y uno los extremos con el punto de intersección de los arcos para formar el Triángulo consideren El ejemplo de la derecha la medida de los tres lados permite garantizar que la reproducción es congruente al triángulo original porque
Answer:
can you translate to english
Step-by-step explanation:
I can't understand plss?
ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
What is a simple definition of a prism?
Step-by-step explanation:
a transparent solid body, often having triangular bases, used for dispersing light into a spectrum or for reflecting rays of light. Geometry. a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms.
Answer:
transparent solid body, often having triangular bases, used for dispersing light into a spectrum or for reflecting rays of light. Geometry. a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms.
Step-by-step explanation:
Write each as a decimal. Round to the hundredths place.
13/50
Emmitt party supply is known for their long lasting helium balloons Emmitt kept track of the number of balloons in each order he received yesterday
Answer: It's kind of hard to answer a question you don't have all the parts too. :(
Step-by-step explanation:
(7-6)•w
simplify the variable expression
Answer:
7w-6w
Step-by-step explanation:
I think this is what your asking for. If it is, you distribute the w
Answer:
w
Step-by-step explanation:
You complete the subtraction in the parentheses first, then multiple that by w. So:
(7-6) x w
(7-6) = 1
1 x w = w
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 13-inch pizzas. She takes a random sample of 37 pizzas and records their mean and standard deviation as 13.50 inches and 1.90 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [12.89, 14.11]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.90 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch
Answer:
She must take a sample of 56.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
Standard deviation estimate of 1.90
This means that \(\sigma = 1.9\)
Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?
This is n for which M = 0.5. So
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(0.5 = 1.96\frac{1.9}{\sqrt{n}}\)
\(0.5\sqrt{n} = 1.96*1.9\)
\(\sqrt{n} = \frac{1.96*1.9}{0.5}\)
\((\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2\)
\(n = 55.5\)
Rounding up:
She must take a sample of 56.
Solve: -5.67 + q ≤ 18.67
Answer:
Q=5
Step-by-step explanation:
You simplify and thEn solve for q
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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2(a) Another 'think of a number' problem is represented by the equation below.
2w-1
5
Complete the steps below to show the mental calculations that were made.
I think of a number (call it w)
Step 1: Multiply it by 2
Step 2: multiply it by 1
-+w+2=2w
Step 3:multiply it by 5
Step 4:multiply it by 1
Step 5:multiply it by 8
The result is double the number I started with
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
(2w - 1) / 5 + w + 2 = 2w
Simplify the equation, then we have
(2w - 1) / 5 + w + 2 = 2w
(2w - 1) / 5 = w - 2
2w - 1 = 5w - 10
3w = 9
w = 3
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
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The complete question is given below.
Write an equation for a line parallel to g(x) = 3x − 1 and passing through the point (4, 9)
Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for
the system of equations that has the solution which corresponds to a point at (12, -39)?
Answer:
b
Step-by-step explanation:
the answer to this question is b
1: Calculate the volume of the block GIVEN:=5cm,width=4cm, length =3cm
Solution =
Answer:
volume=length ×breadth/width ×height
=3cm×4cm×5cm
=60cu.cm
In a triangle X = 85°, y = 6, and z = 10. Find the value of x. Round your answer to the nearest tenth.
Answer
x = 11.2
Explanation
To solve this, we need to use the Cosine rule
If a triangle XYZ has angles X, Y and Z at the points of the named vertices of the triangle with the sides facing each of these angles tagged x, y and z respectively, the Cosine rule is given as
x² = y² + z² - 2(y)(z) [Cos X]
For this question,
x = ?
y = 6
z = 10
X = 85°
x² = y² + z² - 2(y)(z) [Cos X]
x² = 6² + 10² - 2(6)(10) [Cos 85°]
x² = 36 + 100 - 120 [0.0872]
x² = 136 - 10.46
x² = 125.54
Take the square root of both sides
x = 11.2
Hope this Helps!!!
Review the following diagram. Calculate the area tot he nearest square foot.
The area for the figure in this problem is given as follows:
A = 1216 ft².
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The figure in this problem is composed as follows:
Rectangle of dimensions 55.75 ft (as each ft has 12 inches, hence 9 inches = 0.75 ft) and 17.5 ft.Circle (composition of two half circles) of radius 17.5/2 = 8.75 ft.Hence the area of the figure is calculated as follows:
A = 55.75 x 17.5 + π x 8.75²
A = 1216 ft².
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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!!!URGENT!!! ASAP
Question 2(Multiple Choice Worth 4 points)
(04.06A)
Which of the following does not describe slope?
O A line joining points
O A constant rate of change
O A proportional relationship
O A measure of change
Answer:
i think the first one?
Step-by-step explanation:
i dont think its the second or fourth, so most likely the first one, a line joining points
An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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Give the equation of the line with a slope of
1
7
and a y-intercept of 1.
Answer:
y = 17x + 1
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m = slope
b = y-intercept
Answer:
y=17x+1
Step-by-step explanation:
When a question asks us to give the equation of a line, we usually organize it into this formula:
y=mx+b
This formula is called slope-intercept form. Here's what the variables mean:
y=the y-axis
m=the slope
x=the x-axis
b=the point on the line that crosses the y-axis (the y-intercept)
So to write an equation of a line with a slope of 17 and a y-intercept of 1, we would need to plug those values in as m and b.
y=17x+1
I hope this helps! Please comment if you have any questions.
Fatima purchased a new mattress when it was on sale. The sale price was 34% less than the regular price. If the sale price was $371, what was the original price? (Round your answer to the nearest dollar).
Answer:
$580
Step-by-step explanation:
{371x(100-34)/100}+371=580
The original price (rounded to the nearest dollar) is $497.
Explanation:In this problem, we need to identify what's the original price of the new mattress.
Since we know that the sale price is $371 and is 34% lesser than the original price, we need to add 371 and 34%.
Grab a calculator and add 371 and 34%
we get:
371 + 34% = 497.14
Now round it to the nearest whole number, we get: 497
This is how the answer gets 497.
Hope this helps :)
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
7,6 . 5,8 . 2,3 . 1,4
Step-by-step explanation:
Vertical angles are angles opposite to each other when a line cuts through an angle. my answer supports it
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
A Question 1 (4 points) Retake question
What is the equation of the line that has a slope of 4 and a y-intercept of -7?
A) y = -7x + 4
OB) y = -7/4x
OC) 4x + 7y= 0
D) y = 4x - 7
Required equation of line in slope intercept form
y = 4x - 7
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan \theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope of the line = 4
y - intercept of the line = -7
The line passes through (0. -7)
Equation of the required line
y - (-7) = 4(x - 0)
y + 7 = 4x
y = 4x - 7
Option D is correct
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One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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