Answer:
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
Step-by-step explanation:
From linear algebra, we can determine the angle between both vectors by definition of dot point:
[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \| \vec v\|}[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of vectors.
[tex]\theta[/tex] - Angle between vectors, measured in sexagesimal degrees.
If we know that [tex]\vec u = (2,2,4)[/tex] and [tex]\vec v = (2,-1,1)[/tex], then angle between vectors is:
[tex]\|\vec u\| = \sqrt{\vec u\bullet \vec u}[/tex] (2)
[tex]\|\vec u\| = \sqrt{2^{2}+2^{2}+4^{2}}[/tex]
[tex]\|\vec u\| \approx 4.899[/tex]
[tex]\|\vec v\| = \sqrt{\vec v\bullet \vec v}[/tex] (3)
[tex]\|\vec v\| = \sqrt{2^{2}+(-1)^{2}+1^{2}}[/tex]
[tex]\|\vec v\| \approx 2.450[/tex]
[tex]\vec u \bullet \vec v = (2,2,4)\bullet (2,-1,1)[/tex]
[tex]\vec u \bullet \vec v = 4-2+4[/tex]
[tex]\vec u \bullet \vec v = 6[/tex]
[tex]\cos \theta = \frac{6}{(4.899)\cdot (2.450)}[/tex]
[tex]\cos \theta = 0.5[/tex]
[tex]\theta = 60^{\circ}[/tex]
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
Ok I need help!!
Angie is goin to the store to buy food. Her mom gave her 10$ for food and 3$ for whatever she wanted. She buyed a book for 1,50$, and it was on 60%. And she also buyed some candy for 1$. She buyed food for 9,28$
SO the questan is: is she over or under the price?
Im not good at math but whatever
Answer:
she would be under $13
Step-by-step explanation:
1.50+1= 2.50+9.28= 11.78 leaving her with a remaining balance off $1.22
What is the constant of proportionality as shown in the graph?
list the next four multiples of each fraction 1/4
Answer:
It should be easy to complete.
Step-by-step explanation:
1/2
The next four multiples of 1/4 are:
1/2, 3/4, 1, 5/4
What is number series?A number series is a sequence of numbers that follow a specific pattern or rule. The pattern can be based on a mathematical formula or a logical rule, such as adding or subtracting a fixed amount, multiplying or dividing by a constant, or using a combination of operations.
To find the multiples of 1/4, we can multiply it by whole numbers:
1/4 x 1 = 1/4
1/4 x 2 = 2/4 = 1/2
1/4 x 3 = 3/4
1/4 x 4 = 4/4 = 1 (which is equivalent to 4/4)
Therefore, the next four multiples of 1/4 are:
1/2, 3/4, 1, 5/4.
To know more about the number series follow
https://brainly.com/question/24205483
#SPJ3
Theres more then one! wich of these numbers are written in scientific notation!
1. 7.22 x 10^0
2. 3.8 x 5^4
3. 6.04 x 10^-7
4. 8.9 x 10^-2
5. 0.92 x 10^3
6. 23 x 10^9
Which oneS are written in CORRECT scientfic notation ! more then one!!
Step-by-step explanation:
0.92×10^3
I think it helps you
find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and radius of the base is 7 cm
Answer:
[tex]CSA = 660cm^2[/tex] --- Curved Surface Area
[tex]TSA = 968cm^2[/tex] --- Total Surface Area
Step-by-step explanation:
Given
Shape: Cylinder
[tex]h = 15[/tex] -- height
[tex]r = 7[/tex] --- radius
Solving (a): The curved surface area (CSA)
This is calculated as:
[tex]CSA = 2\pi rh[/tex]
This gives:
[tex]CSA = 2 * \frac{22}{7} * 7 * 15[/tex]
[tex]CSA = 2 * 22* 15[/tex]
[tex]CSA = 660cm^2[/tex]
Solving (b): The total surface area (TSA)
This is calculated as:
[tex]TSA = 2\pi r(h + r)[/tex]
This gives:
[tex]TSA = 2 * \frac{22}{7} * 7 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * 22[/tex]
[tex]TSA = 968cm^2[/tex]
when solving the system using the additional/elimination method, which variables will cancel?
Answer:
the x terms
Step-by-step explanation:
there is a +x and a -x.
x-x=0,
x will cancel out
What is the distance between points (-3,1) and (2,3)
Answer:
√ 17
The result can be shown in multiple forms.
Exact Form:
√ 17
Decimal Form:
4.12310562
Step-by-step explanation:
(Use the distance formula to determine the distance between the two points.)
First, substitute the actual values of the points into the distance formula.
Then, just simplify
Don't take my word for it. Hope this helps :)
Hey the very top one and there’s choice answers
Answer:
D. 112
Step-by-step explanation:
Answer:
if you add 50 and 62 is the same size of value X it's 112
D
Which number is smaller? )
38
Same
38
Answer:
None
Step-by-step explanation:
They are both the same so they would be equivalent
Answer:
they are equal are you ok?
Step-by-step explanation:
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
through: (6, 2), perpendicular to
y = -x-5
in slope intercept form
Answer:
y = x-4
Step-by-step explanation:
y = -x-5
Slope of line is -1.
Slope of perpendicular to line is 1.
Point-slope equation for line of slope 1 that passes through (6,2):
y-2 = 1(x-6)
Rearrange equation to slope-intercept form:
y = 1(x-6) + 2
y = x-4
2x-6=-2
Find the value of x(please help y’all I’ll give the first CORRECT answer Brainliest)
Step-by-step explanation:
2x-6 = -2 Add 6 to both sides
2x = -2 + -6
2x = -8 Divide both sides by 2
x = -8/2
x = -4 the answer
in a poll last year, the residents of a town were asked to rate the mayor on a scale of -10 to 10 points. The mayor received an average
approval rating of -2.5 points. This year, the mayor's average approval rating decreased by 0.75 points.
What is the mayor's average approval rating this year?
Enter your answer in the box.
Answer:
-3
Step-by-step explanation:
will i get this right 18(1+4)
Answer:
90
18(1+4)
18(5)
90
URGENT URGENT PLEASE
Answer:
Question 15: x = 17
Question 16: area = 5610 units
Step-by-step explanation:
Question 15:
The perimeter is the sum of all sides of a triangle.
It is given that the perimeter is 374 units.
[tex]p = 8x - 4 + 9x + 4 + 4x + 17[/tex]
[tex]374 = 8x - 4 + 9x + 4 + 4x + 17[/tex]
Add all the like terms.
[tex]374 = 21x + 17[/tex]
Subtract 17 from both sides.
[tex]357 = 21x[/tex]
Divide by 21 from both sides.
[tex]17 = x[/tex]
Question 16:
The area of a triangle can be found by using the following formula:
[tex]a = \frac{1}{2} bh[/tex]
(where a is the area, b is the base, and h is the height)
Using the value of x you just found previously (17), you can calculate the base and height by substituting 17 with x in their respective equations.
[tex]h = 8x - 4[/tex]
[tex]h = 8(17) - 4[/tex]
[tex]h = 134[/tex]
[tex]b = 4x + 17[/tex]
[tex]b = 4(17) + 17[/tex]
[tex]b = 85[/tex]
Now that you found the base and height, substitute the values, 134 and 75, into the area of a triangle formula.
[tex]a = \frac{1}{2} bh[/tex]
[tex]a = \frac{1}{2} (85)(132)[/tex]
[tex]a = 5610[/tex]
HELP!!!!!!!!!!!!!!!!!!
Answer:
Concept: Area
Area= (3.14)r^2 Hence 3.14 * 7^2 3.14* 49 =153.86Divide by 4 for the qualifications 153.86/4= 38.47Combine the two expressions found in parts C and D to relate a, c, A, and C. Rewrite the expression as an equality between two ratios. Show your work.
Answer:
BD = c sin A and BD = a sin C.
Therefore, a sin C = c sin A.
Divide both sides by sin A × sin C to get A/sin A = C/sin C
Step-by-step explanation:
-3x+2y=-10 and -2x+y=-6 solve by elimination
Step-by-step explanation:
-3x+2y=-10
-2(-2x+y=-6)
-3x+2y=-10
4x-2y=12
-3x=-10
4x=12
x=2
need help asap please !!
Pls help me im confused
Answer:
c=36p+36
Step-by-step explanation:
Okay so the cost of the meal without tip is $36. To find the tip, we would multiply p by 36. To find our total (c), we would add this (36p) to the original 36.
In other words:
c=36p+36
(can also be written as c=36(1+p) )
Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation of 4 . (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 90% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 90% confidence interval.
Answer:
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645*\frac{4}{\sqrt{10}} = 2.08[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92
The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
yo can anybody answer this for me
Answer: m=9
Step-by-step explanation: add 16 to both sides, Which gives you 36.Now you have 4m=36 ,so you divide 4 on both sides which gives you 9 .So it is m=4
write the 0.216 in the form of p by q
Answer:
27/125
Step-by-step explanation:
Given the decimal value 0.216, we are to express as a fraction in the fofrm of p/q
0.216 = 216/1000
216/1000 = 2 * 108/2 * 500
216/1000 = 108/500
108/500 = 4*27/4*125
108/500 = 27/125
Hence the expression in form p by q is 27/125
Two data sets are summarized in the box plots shown.
Plot A
Plot B
H
H>
9 10 11 12 13 14
4 5
6
7
8
9 10 11 12 13 14 15 16
45
6
Z
8
Which statements comparing the two box plots are correct? Choose all the correct statements.
A. The mean of plot B is greater than the mean of plot A.
B. The range of plot B is greater than the range of plot A.
C. The median of plot B is the same as the median of plot A.
D. The interquartile range of plot B is the same as the interquartile range of plot A.
Answer: A,D
Step-by-step explanation:
I took the test
1) 4n - 2n = 4
Solve the equation.
Answer:
n＝2
Step-by-step explanation:
2n＝4
n＝2
Answer:
= 2
Step-by-step explanation:
Please mark brainliest :)
Hope this helps
Have a great day!!
The mean, as a measure of location, would be inappropriate for which of the following? A. Ages of adults at a senior citizen center. B. Number of pages in textbooks on statistics. C. Incomes of lawyers. D. Marital status of college students at a university.
Answer:
D. Marital status of college students at a university.
Step-by-step explanation:
The mean, as a measure, is appropriate when we are dealing with quantitative measures, that is, the measure that we are dealing with is a number.
In this question:
Options A(age), B(number of pages) and C(income) are all quantitative, so the mean is appropriate.
In Option D, the marital status is a qualitative measure(married, dating, single), so the mean is innapropriate, and this is the answer,
Factor the expression 26x + 13
what is 5 divided by 4?
Answer: 1.25
Step-by-step explanation: 5 / 4 = 1.25
Find the measure of one interior angle for a regular 21 gon
Answer:162.9
Step-by-step explanation:I gotchu
Monomials that have the same variable raised to the same power, Only the coefficients of like terms can be different. A Exponents BIrrational Number C Rational Number D Like Terms
Answer:
B
Step-by-step explanation: