Answer:
The Purpose and Character of the usage of the work.
Step-by-step explanation:
In the United States of America, there is a terminology used in court called Fair use. This is a law in the USA that permits a limited use of one or more copyrighted materials without the need to first acquire permission from the holder of the copyright.
Thus, an example of something they might consider when trying to decide whether the use was fair is:
The Purpose and Character of the usage of the work.
This is because the original purpose of the work may have been altered to mean something new or different or it was just copied exactly into another work.
So knowing the purpose and character of usage of the work or material in question would be something they would consider
determine if the interval is increasing or decreasing
r+4r-1=24
Be quick please :)
Step-by-step explanation:
r+4r=24+1
5r=25
r=25/5
r=5
Answer:
r = 5
Step-by-step explanation:
r + 4r - 1 = 24
r + 4r = 25
5r = 25
r = 5
What is the slope of the line on the graph?
We can use the points (-4, 0) and (0, 2) to solve.
Slope formula: y2-y1/x2-x1
2-0/0-(-4)
2/4
1/2
Best of Luck!
salesperson receives 16.7% commission. If her total sales for the month are $4900, what is her commission?
Answer:
$818,3
Step-by-step explanation:
16.7% in decimal is 0.167
= 0.167 x $4900
= $818,3
please help Spotting Axis Intercepts
Answer:
Coordinate A ins not intercepting any axis.
Step-by-step explanation:
For a coordinate to intercept an axis, it will be in the form [tex](a, b)\ such\ that:\ a=0, b \in \mathbb{R},\ or:a\in \mathbb{R}, b=0.[/tex]
Since in (3, 6), none of the components are 0, it is not intercepting any axes.
bfnskalalalallsmsmsm help
Answer:
x>18
Step-by-step explanation:
When three professors are seated in a restaurant, the hostess asks them: "Does everyone want coffee?" The first professor says: "I do not know." The second professor then says: "I do not know." Finally, the third professor says: "No, not everyone wants coffee."
The hostess comes back and gives coffee to the professors who want it. How did she figure out who wanted coffee?
the first two professors did not know if everyone wanted coffee because the third professor had to choose yes or no if he wanted coffee. the first two professors were waiting for the third to say something, and when he said no, they knew he did not want coffee. if one of the first two professors said no, the answer would be no.
Select the correct answer.
Angela uses 3 cup of strawberries to make 6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
OA. cups per liter
B. cups per liter
OC. cups per liter
OD. cups per liter
If there are 3 cups of strawberries per 6 liters of smoothie, that means that there is [tex]\frac{1}{2}[/tex] cups of strawberries per liter of smoothie.
[tex]\frac{3}{6}=\frac{1}{2}[/tex]
Hope this helps.
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Match the expression on the left when it’s simplified form on the right answer options on the right may be used.more than once
Here are the expressions on the left matched with the simplifed form on the right:
-(-9) = 9|-9| = 9 -|9| = -9|9| = 9 -|-9| = -9How can the expressions be simplied?Here are some mathematical rules:
a negative sign multiplied by a negative sign is equal to a postive sign a postive sign multiplied by a negative sign is equal to a negative sign.a positive sign multiplied by a postive sign is equal to a postive sign.Also, this sign | | indicates that the number is postive.
To learn more about addition, please check: https://brainly.com/question/349488
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C is the midpoint of segment AB. Find the value of m+k.
A(-3,m)
B (4, -1)
C (k, 2)
Answer:
The value of m + k = [tex]5+\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex].
Step-by-step explanation:
We are given that C is the midpoint of segment AB where A(-3,m) , B (4, -1) , and C (k, 2).
As we know that the mid-point formula states that;
Mid-point = [tex]\frac{a+b}{2}[/tex]
This means that;
Mid-point of AB = [tex]\frac{A+B}{2}[/tex]
C(k, 2) = [tex](\frac{-3+4}{2}, \frac{m+(-1)}{2} )[/tex]
C(k, 2) = [tex](\frac{1}{2}, \frac{m-1}{2} )[/tex]
This means that;
[tex]k = \frac{1}{2}[/tex] and [tex]2=\frac{m-1}{2}[/tex]
[tex]k = \frac{1}{2}[/tex] and [tex]m-1=4[/tex]
[tex]k = \frac{1}{2}[/tex] and [tex]m = 4+1 = 5[/tex]
So, the value of m + k = [tex]5+\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex].
What percent is equivalent to 2/3?
A.) 66 1/3% B.) 66 3/5% C.) 66 2/3% D.) 66 7/10%
Answer:
C
Step-by-step explanation:
2/3=66 therefore it also equals 2/3%
Answer: C
Step-by-step explanation:
First find the decimal of 2/3
Divide it 2/3 = 0.6666666
Now multiply it by 100 to convert it to a percent
You get 66.66..% which is the same as 66 2/3%
Express each vector as a product of its length and direction.
16–√i−16–√j−16–√k
Question:
Express each vector as a product of its length and direction.
[tex]\frac{1}{\sqrt{6}}i - \frac{1}{\sqrt{6}}j - \frac{1}{\sqrt{6}}k[/tex]
Answer:
[tex]\frac{1}{\sqrt{2}}[/tex] [tex](\frac{1}{\sqrt{3}}i - \frac{1}{\sqrt{3}}j - \frac{1}{\sqrt{3}}k)[/tex]
Step-by-step explanation:
A vector v can be expressed as a product of its length and direction as follows;
v = |v| u
Where;
|v| = length/magnitude of v
u = unit vector in the direction of v
---------------------------------------------------------------------------------------
Let the given vector be v, i.e
[tex]v = \frac{1}{\sqrt{6}}i - \frac{1}{\sqrt{6}}j - \frac{1}{\sqrt{6}}k[/tex]
(i) The length/magnitude |v| of vector v is therefore,
|v| = [tex]\sqrt{(\frac{1}{\sqrt{6}})^2 + (-\frac{1}{\sqrt{6}})^2 + (-\frac{1}{\sqrt{6}})^2[/tex]
|v| = [tex]\sqrt{(\frac{1}{6}) + (\frac{1}{6}) + (\frac{1}{6})[/tex]
|v| = [tex]\sqrt{(\frac{3}{6})[/tex]
|v| = [tex]\sqrt{(\frac{1}{2})[/tex]
|v| = [tex]\frac{1}{\sqrt{2}}[/tex]
(ii) The unit vector u in the direction of vector v, is therefore,
u = [tex]\frac{v}{|v|}[/tex]
[tex]u = \frac{\frac{1}{\sqrt{6}}i - \frac{1}{\sqrt{6}}j - \frac{1}{\sqrt{6}}k}{\frac{1}{\sqrt{2}}}[/tex]
[tex]u = \sqrt{2}(\frac{1}{\sqrt{6}}i - \frac{1}{\sqrt{6}}j - \frac{1}{\sqrt{6}}k)[/tex]
[tex]u = (\frac{\sqrt{2}}{\sqrt{6}}i - \frac{\sqrt{2}}{\sqrt{6}}j - \frac{\sqrt{2}}{\sqrt{6}}k)[/tex]
[tex]u = (\frac{1}{\sqrt{3}}i - \frac{1}{\sqrt{3}}j - \frac{1}{\sqrt{3}}k)[/tex]
Therefore, the vector can be expressed as a product of its length and direction as:
|v| u = [tex]\frac{1}{\sqrt{2}}[/tex] [tex](\frac{1}{\sqrt{3}}i - \frac{1}{\sqrt{3}}j - \frac{1}{\sqrt{3}}k)[/tex]
What is the greatest common factor of 28, 34, and 42?
Answer:
28 (0,2,4,14,28)
34 (0,2,17,34)
42 (0,2,6,7,21,42)
the greatest common factor is 2 because it's the greatest number that can be divided by 28, 34 and 42
Help I am stuck on this.
Answer:
i think is the second one
Step-by-step explanation:
For the points P1(-2,3,2) and P2(1,2,0) , find the direction of P1P2 and the midpoint of line segment P1P2.
Given :
Two points [tex]P_1(-2,3,2)\ and\ P_2(1,2,0)[/tex] .
To Find :
The direction of [tex]P_1P_2[/tex] and midpoint of line segment [tex]P_1P_2[/tex] .
Solution :
Direction of [tex]P_1[/tex] and [tex]P_2[/tex] is given by :
[tex]\vec{D}=\dfrac{P_2-P_1}{|P_2-P_1|}\\\\\vec{D}=\dfrac{(-2i+3j+2k)-(i+2j+0)}{P_2-P_1}\\\\\vec{D}=\dfrac{-3i+j+2k}{\sqrt{3^2+1^2+2^2}}\\\\\vec{D}=\dfrac{-3i+j+2k}{\sqrt{14}}[/tex]
Now , mid point is given by :
[tex]M(\dfrac{-2+1}{2},\dfrac{3+2}{2},\dfrac{2+0}{2})\\\\M(\dfrac{-1}{2},\dfrac{5}{2},1)[/tex]
Hence , this is the required solution .
On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2. If location A is at (5,16) and location C is at (3,10). Find the coordinates of location B. A. (1,4) B. (4,13) C. (-1,-2)
Answer:
C. (-1,-2)
Step-by-step explanation:
Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.
Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)
So x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Substituting the values of the coordinates, we have
x = (mx₂ + nx₁)/(m + n)
3 = (1 × x₂ + 2 × 5)/(2 + 1)
3 = (x₂ + 10)/3
multiplying through by 3, we have
9 = x₂ + 10
x₂ = 9 - 10
x₂ = -1
y = (my₂ + ny₁)/(m + n)
10 = (1 × y₂ + 2 × 16)/(2 + 1)
10 = (x₂ + 32)/3
multiplying through by 3, we have
30 = y₂ + 32
y₂ = 30 - 32
y₂ = -2
So, the coordinates of B are (-1, -2)
What is the value of 30-2(7+2)-1?
O 11
0 14
017
019
Select the measurement scale in the right column that best matches the description in the left column. Note that each scale (nominal scale, ordinal scale, interval scale, and ratio scale) will be used exactly once. 1. Values measured on this scale can be compared such that you can say, for example, one value is twice as big as another value. 2. The values of data measured on this scale can be rank ordered and have meaningful differences between scale points.3. The values of data measured on this scale can be a number or a name, but they cannot be rank ordered. 4. The values of data measured on this scale can be rank ordered.
Answer:
1. RATIO SCALE
2. INTERVAL SCALE
3. NOMINAL SCALE
4. ORDINAL SCALE
Step-by-step explanation:
The scales are:
- Nominal Scale
- Ordinal Scale
- Interval Scale
- Ratio Scale
Rule: Each scale will be used exactly once.
For number 1, the description is that of a Ratio Scale because size comparisons can be made between values on the scale, such as the example given - that one value is twice as big as another value.
For number 2, the description is that of an Interval Scale because the values of data measured on the scale can be ranked e.g. Yes ranks as 1, No ranks as 2, Indifferent ranks as 3 and there is meaningful difference (not numerical difference) between scale points.
For number 3, the description is that of a Nominal Scale, because it says obviously that the values of data measured on this scale can be in form of names (watch out for keywords like this when reading through) and cannot be rank ordered! A good example is the following data set:
- Yellow, Brown, Purple, Cream, Fustian Pink
For number 4, the description is that of an Ordinal Scale. A keyword "rank" is to be given attention here, even as the statement is straightforward and gives just a simple information.
(-17) (0) what does this equal
Answer:
-17 × 0 = 0
every number multiplied by 0 is equal to 0
PLS HELP! 10 POINTD ILL MARK BRAINLIEST
l=3w
3w(4)=48
12w=48
w=4
l=12
hope it helps
comment if u have any questions
Answer:
Length is 18; width is 6.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
We are given that the perimeter is 48 feet. We are also told that the length is 3 times the width. In other words:
[tex]l=3w[/tex]
So, substitute this for l and 48 for P. Thus:
[tex]48=2(3w)+2w[/tex]
Distribute:
[tex]48=6w+2w[/tex]
Combine like terms:
[tex]48=8w[/tex]
Divide both sides by 8:
[tex]w=6[/tex]
So, the width is 6.
The length as we know is 3 times the width, so the length is 3(6) is 18.
And we are done!
I need help with this please
Answer:
C
Step-by-step explanation:
this is easy but im hella lazy and dont feel like doing this pls help me, i mark brainliest! ty ❤️
Answer:
D. It is a decimal that terminates after 3 decimal places
I hope this helps!
E Solve for x 6(x - 1) = 9(x + 2) x = -8 x= 3 x = 8
Answer:
x = -8
Step-by-step explanation:
[tex]6(x - 1) = 9(x + 2)[/tex]
Expand :
[tex]6(x - 1) = 6x - 6 \\ 9(x + 2) = 9x + 18[/tex]
[tex]6x - 6 = 9x + 18[/tex]
Collect like terms and simplify
[tex]6x - 9x = 18 + 6 \\ - 3x = 24[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{24}{ - 3} \\ x = - 8[/tex]
Answer:
Step-by-step explanation:
6x - 6 = 9x + 18
-3x - 6 = 18
-3x = 24
x = -8 is the solution
*
True or False? Natural Numbers are closed under division.
Answer: False
Natural numbers are not closed under division
Some natural numbers divide to get another natural number. For example, divide 10 over 2 to get 10/2 = 5.
However, there are infinitely many natural numbers that divide to get something that isn't a natural number. Example: 10/7 = 1.43 approximately. All we need is one counterexample to contradict the original statement.
A set is considered closed under division if dividing any two values in that set leads to another value in the set. More formally, if a & b are in some set then a/b must also be in the same set for that set to be closed under division.
If we changed "natural numbers" to "rational numbers", then that set is closed under division. If p, q are rational numbers then p/q is also rational. Basically, dividing any two fraction leads to some other fraction. The value of q cannot be zero.
2. Kevin drives to the pizza place for lunch.
He walks 5 km east, then 5 km south, then 5
km east again.
Distance:
Displacement:
Answer: Distance = 15km ; Displacement ≅ 11'2km
Step-by-step explanation:
In Physics when we speak of distance we refer to the space traveled that is always measured on the trajectory, while displacement refers to the space from an initial position to a final position regardless of the path. When the path is a straight line, the space traveled is equal to the module of the displacement.
Distance: 5km + 5km + 5km = 15km (Red lines)
Displacement² : (10km)² + (5km)² = 100km² + 25km² = 125km²
Displacement : √125km² ≅ 11'2km (Blue line)
(See attached image)SpymoreP(t) = 520/1+5e^-0.2t
Find the initial population size
Find the modulus of the following |9+40i|
Answer:
modulus of |9+40i| is 41
Step-by-step explanation:
Let z = 9+40i
then
|z| = [tex]\sqrt{9^{2}+40^{2} }[/tex]
= [tex]\sqrt{81+1600}[/tex]
= [tex]\sqrt{1681}[/tex]
= 41
|z| = 41
Answer:
Step-by-step explanation:
1. |9+40i| = 41
2. |-10+24i| = 26
What is the common ratio of the Fibonacci sequence called
Answer:
1.618
The Fibonacci sequence is significant because of the so-called golden ratio of 1.618, or its inverse 0.618. In the Fibonacci sequence, any given number is approximately 1.618 times the preceding number, ignoring the first few numbers.
Step-by-step explanation:
Plz Mark me as brainliest
[tex]\Large \boxed{\sf golden \ ratio}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
Find an equation of the sphere with center (-3, 2 , 5) and radius 4. What is the intersection of this sphere with the yz-plane.
Answer:
The equation of the sphere with center (-3, 2 , 5) and radius 4 is [tex](x+3)^{2} +(y-2)^{2} + (z-5)^{2} = 16[/tex]
The intersection of the sphere with the yz- plane gave the equation [tex](y-2)^{2} + (z-5)^{2} = 7[/tex] which is a 2D- circle with center (0,2,5) and radius [tex]\sqrt{7}[/tex].
Step-by-step explanation:
The equation of a sphere of radius r, with center (a,b,c) is given by
[tex](x-a)^{2} +(y-b)^{2} + (z-c)^{2} = r^{2}[/tex]
where, [tex]x,[/tex] [tex]y,[/tex] and [tex]z[/tex] are the coordinates of the points on the surface of the sphere.
Hence, the equation of the sphere with center, (-3, 2 , 5) and radius 4 becomes
[tex](x-a)^{2} +(y-b)^{2} + (z-c)^{2} = r^{2}[/tex]
[tex](x-(-3))^{2} +(y-(2))^{2} + (z-(5))^{2} = 4^{2}[/tex]
Then,
[tex](x+3)^{2} +(y-2)^{2} + (z-5)^{2} = 16[/tex]
This is the equation of the sphere with center (-3, 2 , 5) and radius 4,
Now, for the intersection of this sphere with the yz- plane,
The [tex]yz -[/tex]plane is where [tex]x = 0[/tex], then we set [tex]x = 0[/tex]
Them the equation [tex](x+3)^{2} +(y-2)^{2} + (z-5)^{2} = 16[/tex] becomes
[tex](0+3)^{2} +(y-2)^{2} + (z-5)^{2} = 16[/tex]
[tex](3)^{2} +(y-2)^{2} + (z-5)^{2} = 16\\9 +(y-2)^{2} + (z-5)^{2} = 16\\(y-2)^{2} + (z-5)^{2} = 16 - 9\\(y-2)^{2} + (z-5)^{2} = 7[/tex]
This equation is the equation of a 2D- circle with center (0,2,5) and radius [tex]\sqrt{7}[/tex]
This is the part of the sphere that intersects with the yz-plane.
Subtract. Fill in the missing numbers. 11-4=? 4=3+1 So, 11-4=
Answer:
7
Step-by-step explanation: