Answer:
See belowStep-by-step explanation:
Terms are variables in math.
For example: 5x + 6y = is NOT like becuase x and y equal different things
4x + 2x = is like becuase x equals the same number in both
The reason we care about like terms is because we can simplify like terms.
4x + 2x simply equals 6x.
I'm always happy to help :)
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
To know more about Mean visit-
brainly.com/question/26062194
#SPJ11
Help please in need help help
Find the area of the shaded region in each figure.
10in
4in
3 in
5in
4in
The area of the shaded region in each figure is 39 in^2.
We are given that;
The measurements of figure
Now,
Find the area of the shaded region by subtracting the areas of the triangles from the areas of the rectangles. The shaded region consists of two parts: one between rectangle ABCD and triangle ADF, and one between rectangle ABEF and triangle BEC.
Area of shaded region between ABCD and ADF = 40 - 25 = 15 in^2
Area of shaded region between ABEF and BEC = 30 - 6 = 24 in^2
Add the areas of the two shaded parts to get the total area of the shaded region.
Total area of shaded region = 15 + 24 = 39 in^2
Therefore, by the area the answer will be 39 in^2.
Learn more about area of a figure here:
https://brainly.com/question/10254615
#SPJ1
A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams. How much did each sensor weigh originally?
As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.
With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:
4(w + 9) = 76
Expanding the left-hand side and solving for w, we have:
4w + 36 = 76
4w = 40
w = 10
So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.
To know more about equation,
https://brainly.com/question/2228446
#SPJ4
two times a number is divided by 3 more than the number. if the result is 7, then what was the original number?
The original number is -21/5 or -4.2 which is divided by 3 more than the number.
What is an equation?In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.
For solving the question we have to form an equation.Let the number be 'x' Two times the number = 2x3 more than the number = x + 3
According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7
By applying cross multiplication,2x = 7 × ( x+3)2x
= 7x + 7×32x
= 7x + 212x - 7x
= 21-5x = 21x = 21/ (-5)x
= -4.2
Hence the original number is -4.2
Read more about Linear equations :
brainly.com/question/28871326
#SPJ4
graph the quadrilateral with the given vertices in a coordinates plane then show that the quadrilateral is a parallelogram E(-3,0),F(-3,4),G(3,-1),H(3,-5)
If one set of the opposite sides of a quadrilateral is equal and parallel, the shape is referred to as a parallelogram.
Is quadrilateral is a parallelogram?A quadrilateral is a parallelogram if each pair of opposite angles in it is equal. The quadrilateral ABCD is a figure in which A = C and B = D. We are aware that a quadrilateral's angles add up to 360 degrees. ABCD is therefore a parallelogram.
A quadrilateral is a parallelogram if one pair of its opposite sides is both equal and parallel. A quadrilateral becomes a parallelogram if its diagonals cut each other in half.
The opposite sides of a parallelogram are equal to one another. A parallelogram's diagonals are consistently equal. The diagonals do not cross each other in a parallelogram. The diagonals in a parallelogram are always at right angles to one another.
To learn more about parallelogram refer to:
https://brainly.com/question/970600
#SPJ1
can you pls help ...........
Answer:
Most likey red about blue
Step-by-step explanation:
Why can't the denominator of a fraction be negative?
When you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.
What is the denominator?In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole.
It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.
The top number in a fraction is referred to as the numerator, while the bottom number is referred to as the denominator.
4/5, for instance, is a fraction.
What happens to the denominator of a fraction when you divide it by a negative number is unimportant because the entire result, or quotient, is the opposite of whatever the original fraction was.
Therefore, when you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.
Know more about denominator here:
https://brainly.com/question/20712359
#SPJ4
The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
4
5
Value
3.75
9.375
23.438
58.594
146.484
O A. y= 1.75 2.35*
OB. y= 2.5 3.5*
OC. y= 1.25.2.75*
OD. y= 1.5-2.5*
The equation of exponential regression that fits the data is given as follows:
y = 1.5(2.5)^x.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.
The points are given as follows:
(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).
Inserting these points into a calculator, the equation is given as follows:
y = 1.5(2.5)^x.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?
Answer:
The slope remains a constant \(m=\frac{5}{3}\) as it is parallel.
Explanation:
1. Line Q is defined as a slope of \(\frac{5}{3}\); i.e. \(y=\frac{5}{3}\)
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant height of 12 cm? 112 cm2 208 cm2 400 cm2 640 cm2
The surface area of a square pyramid with base area of 16 cm² and lateral faces have a slant height of 12 cm is 112 cm²
Surface area of square pyramidsurface area = A + 1 / 2 ps
where
A = area of the basep = perimeter of the bases = slant heightTherefore,
A = 16 cm²
p = 4(4) = 16 cm
s = 12 cm
Hence,
surface area = 16 + 1 / 2 × 16 × 12
surface area = 16 + 96
surface area = 112 cm²
learn more on surface area here: https://brainly.com/question/12267785
#SPJ4
Answer:
112m
Step-by-step explanation:
Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.
The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.
In the problem, the data given as,
In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
Learn more about the histogram here;
https://brainly.com/question/2962546
HELP ME I WILL GIVE 20 POINTS PLS
the given proportional relationship y=0.5x with proportional constant is 1/2.
what is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.
So the equation will be y = kx
or y = 0.5(x)
Here proportional constant is 1/2 or 0.5.
For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.
Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.
Learn more about proportional relationship, by the following link.
brainly.com/question/12242745
#SPJ1
Consider the problem
Min 2X2 – 14X + 2XY + Y2 – 18Y + 50
s.t. X + 4Y ≤ 8
ANSWER A, B, AND C
Find the minimum solution to this problem. If required, round your answers to two decimal places.
Optimal solution is X = ______, Y = ________, for an optimal solution value of _________
If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? If required, round your answer to two decimal places.
Increase/Decrease by ___________.
Resolve the problem with a new right-hand side of 9. How does the actual change compare with your estimate? If required, round your answers to two decimal places.
Objective function value is ___________ so the actual increase/decrease
is only __________ rather than __________.
The final solution of the given problem is X = 2.82, Y = 1.04 for an Optimal solution Value of -16.93.
Given the optimization problem in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 8, we have to find the minimum solution to the given problem.
Solution To find the solution to the given optimization problem, we need to use the Lagrange multiplier method. Using this method, we have the following system of equations: 2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 8Solving the above equations, we get the following solutions:x = 3, y = 1, λ = 6
The optimal solution is X = 3, Y = 1, for an optimal solution value of -17. If the right-hand side of the constraint is increased from 8 to 9, the objective function would change by -2.29. (Decrease by 2.29)Now, we have to resolve the problem with a new right-hand side of 9.
The new optimization problem will be in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 9
Using the same method as above, we have the following system of equations:2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 9Solving the above equations, we get the following solutions:x = 2.82, y = 1.04, λ = 6.07
The objective function value is -16.93 so the actual increase/decrease is only -0.07 rather than -2.29. Hence, the actual change is very different from the estimated change.
Therefore, the final solution of the given problem is X = 2.82, Y = 1.04 for an optimal solution value of -16.93.
For more questions on Value .
https://brainly.com/question/843074
#SPJ8
what is 3/4 of 2483???
Answer:
1862.25
Step-by-step explanation:
How many shipping containers are there in the world.
There are approximately over 60 million shipping containers in the world. Containers are stacked and arranged in these ports, creating an impressive sight and highlighting the scale of global trade.
Shipping containers are standardized metal boxes used for transporting goods by sea, rail, or road. They come in various sizes, including 20-foot and 40-foot lengths. These containers have revolutionized global trade, allowing for efficient and secure transportation of goods across long distances. While exact numbers are challenging to determine due to factors such as container movement and usage, estimates suggest that there are over 60 million shipping containers worldwide. This vast quantity of containers enables the global economy to function smoothly by facilitating the movement of goods between countries and continents.
The extensive use of shipping containers has led to the establishment of container ports and specialized container ships that can accommodate large numbers of containers.Moreover, repurposing shipping containers for alternative uses, such as modular homes or pop-up shops, has gained popularity in recent years, demonstrating the versatility and durability of these units.
learn more about global trade here
brainly.com/question/29885031
#SPJ11
Consider this triangle.
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
what is the largest integer that is a divisor of (n 1)(n 3)(n 5)(n 7)(n 9) (n 1)(n 3)(n 5)(n 7)(n 9) for all positive even integers nn?
The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15
Divisor of a Number :
A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.
Here we have,
(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)
And n is a positive even integer
For n = 2 ⇒ (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )
For n = 4 ⇒ (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )
and so on.
From the above calculations,
we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers
In every 5 consecutive odd positive integers,
One of them is always divisible by 3
And one of them is always divisible by 5.
Therefore,
(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5
As we know product of 3 and 5 = 15
then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15
Learn more about Divisor at
https://brainly.com/question/28445446
#SPJ4
The complete question is
What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?
(A) 3 (B) 5 (C) 11 (D) 15 (E) 165
5.
Solve the equation sin tan+cos0=3 for 0° <0 < 360°.
Step-by-step explanation:
I assume you mean the equation sin(x)tan(x) + cos(x) = 3.
Let's begin by rearranging the equation:
sin(x)tan(x) = 3 - cos(x)
Now, we can use the identity tan(x) = sin(x) / cos(x) to rewrite the left-hand side:
sin(x) * sin(x) / cos(x) = 3 - cos(x)
sin^2(x) = (3 - cos(x)) * cos(x)
Expanding the right-hand side, we get:
sin^2(x) = 3cos(x) - cos^2(x)
Moving all the terms to the left-hand side, we obtain a quadratic equation in terms of cos(x):
cos^2(x) - 3cos(x) + sin^2(x) = 0
Using the identity sin^2(x) + cos^2(x) = 1, we can substitute sin^2(x) = 1 - cos^2(x) to get:
cos^2(x) - 3cos(x) + 1 = 0
Solving for cos(x) using the quadratic formula, we get:
cos(x) = (3 ± sqrt(5)) / 2
Now, we can use the inverse cosine function to find the corresponding values of x:
x = arccos((3 + sqrt(5)) / 2) ≈ 20.10° or x = arccos((3 - sqrt(5)) / 2) ≈ 159.90°
Therefore, the solutions to the equation sin(x)tan(x) + cos(x) = 3 for 0° < x < 360° are approximately x = 20.10° and x = 159.90°.
Anita is very dissatisfied with her job situation, but she does not perceive any other employment opportunities, so she stays and spends most of the workday dreaming about non-work matters. What is Anita experiencing
Based on the provided information, Anita is experiencing job dissatisfaction and engaging in frequent daydreaming during her workday. This can be indicative of a phenomenon known as "workplace disengagement" or "disengagement syndrome."
Workplace disengagement refers to a state in which an individual feels disconnected, uninterested, or disinterested in their job. It often arises when employees perceive a lack of opportunities for growth or advancement, feel unfulfilled by their current role, or experience dissatisfaction with their work environment. Anita's lack of perception regarding other employment opportunities suggests a feeling of being trapped or limited in her current job. Consequently, she resorts to daydreaming as a means of escapism or a way to mentally detach from her dissatisfying work situation.
It is important for Anita to address her job dissatisfaction and explore potential solutions. This could involve seeking career counseling, networking to identify other job opportunities, or discussing her concerns with a supervisor or HR representative. Taking proactive steps to address the underlying issues can lead to a more fulfilling work experience.
To know more about strategies for addressing job dissatisfaction, click here: brainly.com/question/29847581
#SPJ11
Overview
2
Question Progress
Homework
11 / 42 Mai
One-third of a number is 12.
Work out one-half of the number.
Answer:
what have you written. bro plz check.
Step-by-step explanation:
11/42 = 0.261One third of a number is 12Let the number = x
1/3 × x = 12
x = 12 × 3/1
x = 36
I HAVE SOLVED THAT MUCH I UNDERSTOOD
HOPE THIS HELPS YOU
MARK AS BRAINLIEST
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
x = e√t
y = t - ln t4
t = 1
y(x) =
ToTo find the equation of the tangent to the curve at the given point, we first need to find the coordinates of the point and the slope of the tangent. 1. Find the coordinates of the point (x, y) at t = 1: x = e√1 = e^1 = e y = 1 - ln(1^4) = 1 - ln(1) = 1 So the point is (e, 1). 2. Find the derivatives dx/dt and dy/dt: dx/dt = (d/dt) e√t = e√t * (1/2) * t^(-1/2) = (1/2) * e√t * t^(-1/2) dy/dt = 1 - (1/t) 3. Find the slope of the tangent at t = 1: dx/dt (1) = (1/2) * e^1 * 1^(-1/2) = e/2 dy/dt (1) = 1 - (1/1) = 0 4. Calculate the slope dy/dx at the point (e, 1): dy/dx = (dy/dt) / (dx/dt) = 0 / (e/2) = 0 5. Use the point-slope form to find the equation of the tangent: y - y1 = m(x - x1) y - 1 = 0(x - e) So the equation of the tangent is y(x) = 1.
The given curve is x = e√t and y = t - ln t4. To find an equation of the tangent to the curve at the point corresponding to the given value of the parameter t = 1, we will use the formula of the slope of the tangent at the given point.
Most of the times, a tangent is defined as a straight line that touches the curve at only one point. It is at a point on a curve where its gradient is equal to that of the curve itself. The slope of the tangent at a point on the curve is equal to the value of the derivative at that point.
So, let's differentiate y with respect to t to obtain the derivative of y. Then we will substitute t = 1 in the derivative to get the slope of the tangent.dy/dt = 1 - 1/t4Let t = 1,dy/dt = 1 - 1/14 = 13/4So, the slope of the tangent at the point t = 1 is 13/4.Now, to find an equation of the , we need a point on the tangent. The given point on the tangent is (e, y) where y = t - ln t4 and t = 1.
Substituting t = 1 in the equation of y,y = 1 - ln 14Thus, the point on the tangent is (e, 1 - ln 14).Using the point-slope form of the equation of a straight line,y - y1 = m(x - x1)where m is the slope of the tangent and (x1, y1) is the given point on the tangent.
Substituting the values,m = 13/4, x1 = e and y1 = 1 - ln 14,y - (1 - ln 14) = (13/4)(x - e)Expanding the above equation,y - 1 + ln 14 = 13/4 x - 13/4e.
Thus, the equation of the tangent to the curve at the point corresponding to t = 1 is y - 1 + ln 14 = 13/4 x - 13/4e.
Therefore, the correct option is C. y - 1 + ln 14 = 13/4 x - 13/4.
To know more about tangent click here
brainly.com/question/19064965
#SPJ11
resuelve la siguiente desigualdad: 2x>-6
Answer:x>-3
Step-by-step explanation:
Step-by-step explanation:
la respuesta es -12 pero le puedes sacar la mitad osea -6
it only tells me that each square has a perimeter of 8cm
Answer:
24cm
Step-by-step explanation:
each square has a perimeter of 8cm
8÷4=2
each side of each square is 2cm
so...
two sides of the rectangle are 4cm
and the other two are 6cm
then to get the area u do:
6cm×4cm=24cm
Answer= 24cm
Answer:
24 cm^2
Step-by-step explanation:
since each cube has equivalent sides, we can divide them by 4 to get that each side of the square is 2, now add two three times for the length and two times for the width and you get A=L*W
A=2(3)*2(2)
=6*4
=24cm^2
PLEASE HELP GIVING 40 POINTS!!!!! −2.5x−9<16
Answer:
- 10 i hope you do well and have a great day and were is the other 35 points i only got 5? and can you please give me brainiest?
Step-by-step explanation:
Answer:
x<10
Step-by-step explanation:
Move to 9 over to make it -2.5x<25.
Switch the numbers to make x positive.
Divide 25 by 2.5. 25 dived by 2.5 is 10.
x<10.
Sasha is playing a game with two friends. Using the spinner pictured, one friend spun a one, and the other friend spun a four. Sasha needs to spin a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. How many desired outcomes should Sasha use in her probability calculation
Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.
To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.
Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.
Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.
To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.
Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.
For more such questions on probability
https://brainly.com/question/251701
#SPJ8
.
Classify the Number: 120
whole
Whole, counting
Counting, whole, integers rational, real
Irrational, real
Answer:
counting, whole, integers, rational, real
Step-by-step explanation:
Counting numbers are any number above 0, and all the other groups will also fall into place if a number is a coutning number. Since 120 is a counting number, it falls into all the other groups above it too.
Write
1
16
as a decimal.
A) 0.00625
B) 0.0625
C) 0.625
D) 6.25
Answer:
b) 0.0625
Step-by-step explanation:
Answer:
b) 0.0625
Step-by-step explanation:
just couse
Help please I don’t understand it
Answer:
8
Step-by-step explanation:
4+4=8
If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal
Step-by-step explanation:
y = 200 - 3 *x has slope = -3 this is downward sloping from L to R
Answer:downward sloping
Step-by-step explanation:
negative slope