Answer:
m is 1
Step-by-step explanation:
ez mathzzzzzzzzzzz
Given the vector \mathbf{u}u equal to 7\left<\cos 0^{\circ},\,\sin 0^{\circ}\right>7⟨cos0
∘
,sin0
∘
⟩ and vector \mathbf{v}v equal to 4\left<\cos 135^{\circ},\,\sin 135^{\circ}\right>,4⟨cos135
∘
,sin135
∘
⟩, find the sum \mathbf{u}+\mathbf{v}u+v and write your answer in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree, 0^{\circ}\le \theta < 360^{\circ}. 0
∘
≤θ<360
∘
The vector sum \(\mathbf{u}+\mathbf{v}\) is approximately equal to \(3.9\left < \cos 26^{\circ},,\sin 26^{\circ}\right > , 3.9⟨cos26∘, sin26∘⟩\) in magnitude and direction form.
To find the sum of two vectors, we add their corresponding components. In this case, \(\mathbf{u}+\mathbf{v} = 7\left < \cos 0^{\circ},,\sin 0^{\circ}\right > + 4\left < \cos 135^{\circ},,\sin 135^{\circ}\right >\). Evaluating the x- and y-components separately, we get:
\(\mathbf{u}+\mathbf{v} = (7\cos 0^{\circ} + 4\cos 135^{\circ}),\mathbf{i} + (7\sin 0^{\circ} + 4\sin 135^{\circ}),\mathbf{j}\)
\(\mathbf{u}+\mathbf{v} = 3.9,\left < \cos 26^{\circ},,\sin 26^{\circ}\right >\)
To write the answer in magnitude and direction form, we can use the ormula \(\left|\mathbf{u}+\mathbf{v}\right| = \sqrt{(u_1+v_1)^2 + (u_2+v_2)^2}\) for the magnitude, and \(\theta = \tan^{-1}\left(\frac{u_2+v_2}{u_1+v_1}\right)\) for the direction. Plugging in the values, we get:
\(\left|\mathbf{u}+\mathbf{v}\right| \approx 3.9\theta \approx 26^{\circ}\)
Therefore, the vector sum \(\mathbf{u}+\mathbf{v} is approximately equal to 3.9\left < \cos 26^{\circ},,\sin 26^{\circ}\right > , 3.9⟨cos26∘, sin26∘⟩\) in magnitude and direction form.
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determine the number of outcomes in the event . then decide whether the even is a simpe event or not. you roll a six sided die event b is rolling an even number
When rolling a six-sided die, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Event B is rolling an even number, which means there are three possible outcomes: 2, 4, or 6. Since there are only three possible outcomes in Event B, it is a simple event.
Let's analyze the event and outcomes when rolling a six-sided die.
Event B: Rolling an even number.
Step 1: Identify the possible outcomes.
When rolling a six-sided die, the outcomes are numbers 1 to 6 (1, 2, 3, 4, 5, and 6).
Step 2: Determine the outcomes in the event.
For Event B, the even numbers are 2, 4, and 6. So, there are 3 outcomes in Event B.
Step 3: Decide if the event is a simple event or not.
An event is considered a simple event if it has only one possible outcome. Since Event B has 3 possible outcomes (2, 4, and 6), it is not a simple event.
Event B (rolling an even number) has 3 possible outcomes (2, 4, and 6), and it is not a simple event.
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A stable level within a phase is defined as a set of observations that ______
A. cluster around a line sloping up to the right when graphed B. cluster around a line sloping down to the right when graphed C. cluster around a horizontal line when graphed are distributed equally along both axes
The correct option is C: Cluster around a horizontal line when graphed are distributed equally along both axes.
A level within a phase is defined as a set of observations that cluster around a horizontal line when graphed. This means that the data points tend to remain relatively constant or steady during that particular phase.
When plotted on a graph, these observations form a horizontal line, indicating little variation or change. This stability implies that the system or process being observed is in a balanced state, with minimal fluctuations or disturbances.
The horizontal line represents a steady state, indicating that the system or process being observed is maintaining a consistent level without significant fluctuations or trends.
A stable level is characterized by a consistent and predictable pattern, which can be useful in analyzing and understanding the behavior of the system or process over time.
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Is it appropriate to identify values on this graph that are between or beyond the plotted points? Explain.
Note that It is not a good idea to guess what a value on a graph might be if it is beyond the points that are already plotted. The reason for this is that the guess might not be accurate. Generally, it is better to stay within the defined data limits.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
Because they display information quickly and readily, graphs and charts are powerful visual aids. It's no surprise that graphs are widely utilized in print and electronic media. Data can often be easier understood when displayed as a graph rather than a table since the graph might illustrate a pattern or comparison.
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as part of a demographic study, a college administrator needed to survey a sample of students from the college. from each major offered at the college, the administrator randomly selected 5 percent of the students with that major to participate in the survey. which of the following is the best description of the type of sample selected by the administrator?
The best description of the sample selected by the administrator is Stratified Random Sample that is option D is correct.
Stratified Random Sampling is the method of sampling in which data of population or any other demographic study is divided into smaller subgroups or subdivisions and then measurements are carried out. These subdivisions are known as Strata. The subdivisions are made on the basis of the attributes of the people of the population such as their income statement or their educational qualifications. This type of sampling technique is also known as random or quota random sampling technique. This sampling technique is also used in determining the life expectancy data. It allows researchers to develop a sample of a small area that represents the entire area.
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Complete Question:
as part of a demographic study, a college administrator needed to survey a sample of students from the college. from each major offered at the college, the administrator randomly selected 5 percent of the students with that major to participate in the survey. which of the following is the best description of the type of sample selected by the administrator?
a)cluster sample
b)convenience sample
c)simple random sample
d)stratified random sample
e)systematic random sample
how many solutions does 3x+5=7x-20 have?
Answer:
1
Step-by-step explanation:
hey there,
< 3x-7x = -20-5
-4x = -25
x = \(\frac{25}{4}\)
This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?
But I would just put 1 if I were you. >
Hope this helped! Feel free to ask anything else.
30pts ANSWER ALL QUESTION right
Answer:
number 24 = 73
Step-by-step explanation:
133-50 = 73
number 25 = 180
160+ 20= 180
Find the area of the parallelogram shown below.
9
15
17
square units
Answer:
135
Step-by-step explanation:
its the base (9) times the height (15)
Answer:
135
Step-by-step explanation:
because of the rule base times hight we know it is 135
if the number of times you take the test were independent of the chance you fail what could that mean?
if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.
The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.
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A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
Answer:
B
Step-by-step explanation:
I took the assignmen.
The reflection of point that will produce the image at same coordinate (0, k) is across the y - axis
We have a Point with coordinates (0, k).
We have to find the reflection that will produce the image at the same coordinate (0, k).
Consider a Point P (x, y). Find the image of the point across x - axis and y - axis.For a Point P \((x,y)\) the image across -
x - axis is (x, -y).y - axis is (-x, y)We can use the above laws to find the reflection of point
For Point P(0,k) , the -
image across x - axis will be (0, -k).image across y - axis will be (-0, k), which is same as (0, k).Hence, the reflection of point that will produce the image at same coordinate \((0,k)\) is across the y - axis.
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A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?
Answer:
Formula for volume of cylinder;
V = π\(r^{2}\)h
Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.
Plug in your values given that;
8 in. = height
4 in. = radius
V = π\(r^{2}\)h
V = 3.14(4^2) x 8
V = 3.14(16) x 8
V = 50.24 x 8
V = 401.92 cubic inches or \(401.92^{3}\) inches is the volume.
The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9
The multiplicative rate of change of the function is 2.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.
Given that the values of the variables x and y are,
x y
1 6
2 4
The rate of change will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = (4 - 6 ) / ( 2 - 1 )
Rate of change = -2
The multiplicative rate of change will be 2.
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Determine whether the series is convergent or divergent. sigma^infinity_n=0 arctan(3n) - convergent - divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)_____
The limit is not equal to zero, the series is divergent. Therefore, the answer is DIVERGES.
The given series is the sum of terms arctan(3n) from n=0 to infinity:
Σ(arctan(3n)) from n=0 to infinity
To determine if this series is convergent or divergent, we can use the Test for Divergence. If the limit of the individual terms as n approaches infinity is not equal to zero, then the series diverges:
lim (n→∞) arctan(3n)
Since arctan(x) approaches π/2 as x approaches infinity, we have:
lim (n→∞) arctan(3n) = π/2
Since the limit is not equal to zero, the series is divergent. Therefore, the answer is DIVERGES.
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The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35 kilometers and stop for gas. There were 17 kilometers left to drive.
How many kilometers does the family have to drive to get to the state fair?
32 kilometers + 35 kilometers + 17 kilometers
= 67 kilometers + 17 kilometers
= 84 kilometers
#LearnWithEXO
Answer:
84 kilometers
I hope it will help you po
Pls can someone help I don’t get this Tysm
Act now to stop developers from building on 600 m² of land.
What is a metric system?A system of measurements is called the metric system. It is employed in calculations and research across the globe.
Here are some illustrations of how the metric system is used to measure various objects.
Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).
The developer's measurement is in kilometers and the environmental group measures in meters.
Given, The area they are building is 0.6 square km of land.
We know, 1 kilometer is equal to 1000 m.
Therefore, The environmental group should put 0.6×1000 = 6000 sq km of land.
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Use the relationship between the angles in the figure to answer the question. which equation can be used to find the value of X?
X +49-28 = 180
X -49-28 = 180
X +49+28 = 180
X +28=180
Answer:
X+49+28=180
Step-by-step explanation:
Module Ten Assessment
1. Select all prisms that have a volume between 25 and 40 cubic units.
All prisms that have a volume between 25 and 40 cubic units from the attached figure is a, c and f. The prisms b and e have volume greater than 40 cubic units and d has volume less than 25 cubic units.
a) Cube with sides 3in
Volume = a³
Volume = 3³
Volume = 27 in³
b) Cuboid with length, l = 7in, breadth, b = 3in and height, h = 2in.
Volume = lbh
Volume = 7×3×2
Volume = 42 in³ > 40
So not selected
c) Cuboid with length, l = 4in, breadth, b = 4in and height, h = 2in.
Volume = lbh
Volume = 4×4×2
Volume = 32 in³
d) Cuboid with length, l = 6in, breadth, b = 2in and height, h = 2in.
Volume = lbh
Volume = 6×2×2
Volume = 24 in³ < 25
So not selected
e) Cuboid with length, l = 3in, breadth, b = 6in and height, h = 3in.
Volume = lbh
Volume = 3×6×3
Volume = 54 in³ > 40
So not selected
f) Cuboid with length, l = 3in, breadth, b = 2in and height, h = 6in.
Volume = lbh
Volume = 3×2×6
Volume = 36 in³
--The question is incomplete, answering to the question in reference to the attached figure--
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A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?
Answer:
400 texts
Step-by-step explanation:
Answer:
The answer is A)
Step-by-step explanation:
the inside diameter (in inches) of 50 lightweight snaps used in assembling computer cases are measured and sorted with the following resulting data: 0.0395 0.0443 0.0450 0.0459 0.0470 0.0485 0.0486 0.0487 0.0489 0.0496 0.0499 0.0500 0.0503 0.0504 0.0504 0.0516 0.0529 0.0542 0.0550 0.0571 (a) compute the sample mean and sample variance. (b) find the sample upper and lower quartiles. (c) find the sample median. (d) construct a box plot of the data. (e) find the 5th and 95th percentiles of the inside diameter.
(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
(a) The mean = sum of all values divided by the number of values
μ = (x1 + x2 + ..... + xn)/n
n = 20
μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20
μ = 0.9878/20
μ = 0.0494
(b) Variance = sum of squared deviations from the mean divided by n-1
s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)
s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19
s² = 0.000016
(b) The minimum is 0.0395 and the maximum is 0.0571.
since the number of data is even, the median will be the average of two middle values.
M = Q2 = (0.0496+0.0499)/2 = 0.04975
Now, the first quartile is the median of the data values below the median
so Q1 = (0.0470+0.0485)/2 = 0.04775
And third quartile will be the median of the data values above the median
Q3 = (0.0504+0.0516)/2 = 0.0510
(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set
so M = (0.0496+0.0499)/2
or M = 0.04975
(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.
The boxplot is attached.
(e) The 5th percentile means 0.05(n+1)th data value
or = 0.05(20+1) = 1.05th data value
5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974
similarly,
95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995
Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
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5x50 please help me please
Answer:
250
Step-by-step explanation:
add all numbers which gives the number
I needddd helppppp pleaseee
Answer:
60°
Step-by-step explanation:
Because that is an equiangular triangle all the angles are the same. Which is 60°
Answer:
60 Degrees
Step-by-step explanation:
Because it's an equilateral triangle and all the angles are all the same!
It adds up to 180 Degree
Helppppp please. I am stumped..
Answer:
D
Step-by-step explanation:
w = width
length = w + 0.6
A = l · w
A = w (w + 0.6)
A = w² +.6w
Answer:
D
Step-by-step explanation:
w = width
l = length = w + 0.6
Area = ( l ) * ( w )
Area = ( w + 0.6 ) ( w )
Area = w^2 + 0.6w
∛512 has the same value as which of the following?
Answer:
Today: Monday, 12 October 2020
Hour: 07.17 WIB (in Indonesia)
_________________________
∛512
= ∛8³
= 8^3 × 1/3
= 8¹
= 8
remember this!
∛x = x^⅓
(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)
Answer:
5,184•b•t^6/5
Step-by-step explanation:
Here, we want to multiply the expressions
According to indices law, if we have same bases, we add up the exponents
Thus, we have that;
8 *8b^(2/3+5/3) * 9 * 9 * t^(3/5+3/5)
= 64 * b * 81 * t^6/5
= 5,184bt^6/5
HELLLLLLPPPP MEEEE Claire found the area of the following cube by doing the following steps. Identify which step she made her mistake on?
Answer:
step 2
Step-by-step explanation:
she multiplies by 2 instead of finding the square.
What is the value of d?
−5.5(d−2)=−12.1
Answer:
d = 4.2
Step-by-step explanation:
-5.5 (d - 2) = -12.1
-5.5d + 11 = -12.1
-11 -11
-5.5d/-5.5 = -23.1/-5.5
d = 4.2
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5
If Charlie had 28 grapes and Tristan has 23 grapes how many grapes do they have in total
Answer:
51
Step-by-step explanation:
28 + 23 = 51
Answer:
51 grapes
Step-by-step explanation:
To figure this out, we need to add both amounts of grapes together. We need to add 28 and 23.
1
28 Add 8+3, which is 11. So, add a one in the tens place.
+ 23 2+2+1=5, so put that in the tens place.
51
Hope this helps!! Have a nice day ^^
part 2 help? I’ll mark brainliest if correct
Answer:
Draw a line segment, say 5 cm long.
Below it draw a line segment 10 cm long, or whatever is twice the length!
Hope that helps!
Step-by-step explanation:
What are 2 equivalent ratios for 3/38
Answer:
6/38, 9/38 are two
Multiply by 2 and 3 DONT multiply the denominators when multiplying.