Answer:
Step-by-step explanation:
Recall that, in this case, the subset of X for which R is defined is called the domain of R. The mistake occurs when we assume that the domain R is the whole set X, but it could happen that R is not defined for some elements of X.
Recall the following example:
X = {2,4,6}.
We can define R as follows {(2,2), (4,4), (2,4), (4,2)}. We can easily check that this is a transitive and symmetric relation, but since we don't have the element (6,6) it fails to be reflexive.
In two or more complete sentences, explain how to use ordered pairs of points in and to determine if and are inverses of each other.
Which foundation drawing matches this orthographic drawing ?
The correct answer is A
Explanation:
An orthographic drawing shows a three-dimensional figure from different perspectives or sides. Indeed, the orthographic drawing in the question shows how the object looks if you see this the front, side, and top of this. This implies the foundation drawing needs to match the figures of the orthographic drawing.
According to this, the correct figure is A because this is the only one that has a rectangle shape, and due to this, if you look at this from any different sides you will always see a rectangle. For example, the top view shows a rectangle of approximately 2x3 squares, and this view only fits with option A because B and C are not complete rectangles and therefore their top view is not a rectangle.
Evaluate the expression for x=8. y=-0.1. and Z=4.6.
XZ-Y
XZ-Y
Answer:
36.9Step-by-step explanation:
write down the expression:
x*z-y
lets plug in the variables to evaluate the expression:
8*4.6-(-0.1)
36.8+0.1
36.9
Answer:
36.9Given,
X=8
y=-0.1
z=4.6
Now,
[tex]xz - y \\ = 8 \times 4.6 - ( - 0.1) \\ = 36.8 - ( - 0.1) \\ = 36.8 + 0.1 \\ = 36.9[/tex]
hope this helps..
Good luck on your assignment..
please help and please show your work
Answer:
The volume of all 9 spheres is 301.6 [tex]in^3[/tex]
Step-by-step explanation:
Notice that three of the identical spheres fit perfectly along the 12 in side box, therefore we know that the diameter of each is 12 in/3 = 4 in.
Then the radius of each sphere must be 2 inches (half of the diameter). Now that we know the radius of each sphere, we use the formula for the volume of a sphere to find it:
[tex]V=\frac{4}{3} \pi R^3\\V=\frac{4}{3} \pi (2\,in)^3\\V=\frac{4}{3} \pi\, 8\,\,in^3\\V=\frac{32}{3} \pi\,\,in^3[/tex]
Now, the total volume of all nine spheres is the product of 9 times the volume we just found:
[tex]V_{all \,9}=9\,*\frac{32}{3} \pi\,\,in^3\\V_{all \,9}=96 \pi\,\,in^3\\V_{all \,9}\approx \,301.6\,\,in^3[/tex]
by what rational number should we divide 22/7 so as to get the number -11/13?
Answer:
7/54
Step-by-step explanation:
let thenumber be x
then 22/7 /x = -11/27
= 22x/7 = -11/27
= x = -11*7/27*22 = 7/54
Hope it helps!!
Any help would be great
Answer:
V = 137.2
Step-by-step explanation:
We are given the volume equation. Simply plug in your r into the equation and calculate and you should get 137.189 as your answer.
12x - y = -4
4x - 3y = -6 (1 point)
Answer:
Step-by-step explanation:
12x - y = -4 ----------------------(I)
4x - 3y = -6 ---------------------(II)
Multiply equation (I) by (-3)
(I)*(-3) -36x + 3y = 12
(II) 4x - 3y = - 6 {Add and y will be eliminated}
- 32x = 6
x = 6/-32
x = -3/16
Plugin the value of x in equation (I)
[tex]12*\frac{-3}{16} -y=-4\\\\3*\frac{-3}{4}-y=-4\\\\\frac{-9}{4}-y = -4\\\\-y=-4+\frac{9}{4}\\\\-y=\frac{-4*4}{1*4}+\frac{9}{4}\\\\-y=\frac{-16}{4}+\frac{9}{4}\\\\-y=\frac{-7}{4}\\\\y=\frac{7}{4}\\\\y=1\frac{3}{4}[/tex]
The commute time for people in a city has an exponential distribution with an average of 0.66 hours. What is the probability that a randomly selected person in this city will have a commute time between 0.55 and 1.1 hours? Answer: (round to 3 decimal places)
Answer:
[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]
And replacing we got:
[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]
[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]
And rounded the answer would be 0.246
Step-by-step explanation:
For this case we can define the random variable X as "The commute time for people in a city" and for this case the distribution of X is given by:
[tex] X \sim exp (\lambda = \frac{1}{0.66}= 1.515)[/tex]
And for this case we want to find the following probability:
[tex] P(0.55 <X<1.1)[/tex]
And we can use the cumulative distribution function given by:
[tex] F(x) =1- e^{-\lambda x}[/tex]
And using this formula we got:
[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]
And replacing we got:
[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]
[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]
And rounded the answer would be 0.246
Describe the steps to solve a rational equation. Create your own example and solve it following your steps. Then, provide an additional example for other people to try to solve as they reply to your post.
Answer:
Here is an exampls
Step-by-step explanation:
The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
tan x = 21, x is an element of [0, pi / 2]
Answer:
sin x = 0.998
cosx = 0.046
Step-by-step explanation:
Given that:
tan x = 21
where interval of x is [tex][0,\dfrac{\pi}{2}][/tex].
We know that the trigonometric identity for tan x is:
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
Comparing with:
[tex]tan x = \dfrac{21}{1}[/tex]
Perpendicular = 21 units
Base = 1 unit
As per pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\[/tex]
[tex]\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units[/tex]
interval of x is [tex][0,\dfrac{\pi}{2}][/tex] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.
We know that
[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}[/tex]
So, sine x :
[tex]\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998[/tex]
Similarly, value of cos x :
[tex]\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046[/tex]
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple
What is the answer to this question?
32
\y-step explanation:
Answer: 9.20 am
Step-by-step explanation:
Every hour the difference between the two watches increases by 3 minutes 3x3=9
That gives us 3 hours and then divide 60 into 3 to make 20 minutes
3hours + 20mins = 3 20mins
6:00 a.m. + 3hrs 20 mins = 9:20 a.m.
Please answer this correctly
Answer:
6 ties
Step-by-step explanation:
At least 37 but fewer than 63 makes it 37-62
So,
37-62 => 6 ties
the figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC
A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:
For triangles ABD and CBD, alternate interior angles ABD and CBD are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by ______. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.
Which phrase best completes the student's proof?
a. associative property
b. reflexive property
c. substation property
d. transitive property
Answer: b) reflexive property
Step-by-step explanation:
When you are stating that a line is congruent to itself, you are using the Reflexive Property.
a) Associative Property: a + (b + c) = (a + b) + c
b) Reflexive Property: AB = AB
c) Substation Property: not a real property - does not exist
d) Transitive Property: If a = b and b = c, then a = c
Based on the following construction which statement below
must NOT be true?
Answer:
B. AC = 2AB
hope it helps!
Step-by-step explanation:
AC is half of AB
so if the statement says AC is 2AB it suggests that AC is greater than AB
this is definitely false..
how many nickels equal $18.45? (show your work)
Answer:
369
Step-by-step explanation:
One nickel = 0.05
0.05x=18.45
x=369
The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? A) –4 B) –2 C) 20 D) 22
Answer:
D) 22
Step-by-step explanation:
y= mx+b point-slope formy-1= -7(x-3)
y= -7x+21+1
y= -7x+22 in point-slope formx=0 ⇒ y-intercept is equal to:
y= -7*0+22= 22So y -intercept is 22, option D
Answer:
22
Step-by-step explanation:
y-1 = -7(x-3)
This is point slope form
Distribute
y-1 = -7x +21
Add 1 to each side
y-1+1 = -7x+21+1
y = -7x+22
This is slope intercept form where y = mx+b and b is the y intercept
22 is the y intercept
3.249 thousandths rounded to the nearest tenth
Answer:
3.2
Step-by-step explanation:
Rounded to the nearest 10
Which fraction is equivalent to 2/-6? -2/6 2/6 -2/-6 6/2
A File that is 242 megabytes is being downloaded.If the download is 12.9%complete,how many megabytes have been downloaded?Round your answer to the nearest tenth.
Answer:31
Step-by-step explanation: Since you are trying to find a percentage of a number all you have to do is multiply 242 by 12.9% and because you have to round to the nearest tenth it will be 31
Rearrange the following steps in the correct order to locate the last occurrence of the smallest element in a finite list of integers, where the integers in the list are not necessarily distinct.
a. return location
b. min ≔a1 and location ≔1
c. min ≔ai and location≔i
d. procedure last smallest(a1,a2,...,an: integers)
e. If min >= ai then
Answer:
The rearranged steps is as follows:
d. procedure last smallest(a1,a2,...,an: integers)
b. min ≔a1 and location ≔1
e. If min >= ai then
c. min ≔ai and location≔i
a. return location
Step-by-step explanation:
The proper steps to perform the task in the question above is dbeca
Here, the procedure (or function) was defined along with necessary parameters
d. procedure last smallest(a1,a2,...,an: integers)
The smallest number is initialized to the first number on the list and its location is initialized to 1
b. min ≔a1 and location ≔1
The next line is an if conditional statement that checks if the current smallest number is greater than a particular number
e. If min >= ai then
If the above condition is true, the smallest value is assigned to variable min; it's location is also assigned to variable location
c. min ≔ai and location≔i
The last step returns the location of the smallest number
a. return location
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Answer:
Area of the given figure is 51.5 square units.
Step-by-step explanation:
Area of rectangle OCBH = Length × width
= 11 × 8
= 88 square units
Area of trapezoid OGEF = [tex]\frac{1}{2}(b_1+b_2)\times h[/tex]
= [tex]\frac{1}{2}(\text{GE+OF)}\times (\text{OG})[/tex]
= [tex]\frac{1}{2}(3+6)\times 4[/tex]
= 18 units²
Area of trapezoid GCDE = [tex]\frac{1}{2}(\text{GC+DE)}\times (\text{GE})[/tex]
= [tex]\frac{1}{2}(7+2)\times 3[/tex]
= 13.5 units²
Area of triangle AFH = [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
= [tex]\frac{1}{2}(5)(2)[/tex]
= 5 units²
Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)
= 88 - (18 + 13.5 + 5)
= 88 - 36.5
= 51.5 units²
Therefore, area of the given polygon is 51.5 units²
Brainliest to whoever gets this correct Which of the following is equal to the rational expression when x ≠ -3? x^2-9/x+3
Answer:
see below
Step-by-step explanation:
We presume you want to simplify ...
[tex]\dfrac{x^2-9}{x+3}=\dfrac{(x-3)(x+3)}{x+3}=\boxed{x-3}[/tex]
__
The numerator is the difference of squares, so is factored accordingly. One of those factors cancels the denominator.
To the nearest tenth, which is the perimeter of ABC. Geometry
Answer:
23.6
Step-by-step explanation:
Finding AC:
Cos 61 = [tex]\frac{adjacent}{hypotenuse}[/tex]
0.48 × 10 = Adjacent
AC = 4.8
Now, CB:
Cos 29 = [tex]\frac{adjacent}{hypotenuse}[/tex]
0.87 × 10 = CB
CB = 8.8
The perimeter:
=> 10+4.8+8.8
=> 23.6
Answer:
23.6
Step-by-step explanation:
What is the product of the expressions? Assume y does not equal 0.
Answer:
The correct answer would be option 4
12x+20
5y3
Hope that helps.Thank you!!!
Someone help me please?
[tex]32500[/tex]
[tex]0.00604[/tex]
[tex]2.4 \times 10^6[/tex]
[tex]1.47 \times 10^{-3}[/tex]
Answer:
A) 32500
B) 0.00604
C) [tex]2.4 * 10^6[/tex]
D) [tex]1.47 * 10^{-3}[/tex]
A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?
Answer:
a.x=39.2
b.Use whole wire as a circle
Step-by-step explanation:
We are given that
Length of piece of wire=70 units
Let length of wire used to make a square =x units
Length of wire used in circle=70- x
Side of square=[tex]\frac{perimeter\;of\;square}{4}=\frac{x}{4}[/tex]
Circumference of circle=[tex]2\pi r[/tex]
[tex]70-x=2\pi r[/tex]
[tex]r=\frac{70-x}{2\pi}[/tex]
Combined area of circle and square,A=[tex](\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2[/tex]
Using the formula
Area of circle=[tex]\pi r^2[/tex]
Area of square=[tex](side)^2[/tex]
a.[tex]A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}[/tex]
Differentiate w.r.t x
[tex]\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}[/tex]
[tex]\frac{dA}{dx}=0[/tex]
[tex]\frac{x}{8}+\frac{2x-140}{4\pi}=0[/tex]
[tex]\frac{\pi x+4x-280}{4\pi}=0[/tex]
[tex]\pi x+4x-280=0[/tex]
[tex]x(\pi+4)=280[/tex]
[tex]x=\frac{280}{\pi+4}[/tex]
x=39.2
Again differentiate w.r.t x
[tex]\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}[/tex]>0
Hence, the combined area of circle and the square is minimum at x=39.2
b.When the wire is not cut and whole wire used as a circle . Then, combined area is maximum.
the graph of y=-4x7 is:
Answer:
(0,7)
Step-by-step explanation:
28
Step-by-step explanation:
In a packet of stickers there are small stars, big stars, small rockets, and big rockets. Kevin is going to choose one of these stickers from the packet at random to put on his artwork. What is the probability that the sticker Kevin chooses is big or is a rocket
Answer:
3/4 or 0.75
Step-by-step explanation:
You have four options available
Lets say P(A) is pick a rocket
P(A) = 2/4 because there are two rockets in the four choices
simplify it to 1/2
P(B) pick a big = 2/4 because there are two bigs and two smalls.
simplify it to 1/2
P(A ∩ B) = Pick a big rocket = 1/4
P(AUB) = P(A)+P(B)- P(A ∩ B)
P(AUB) = 1/2+1/2- 1/4 = 3/4 or 0.75
You are standing 5 miles away from the peak. You look up at a 47-degree angle to the peak. How tall is the mountain? Hint: 5280 feet = 1 mile. Round your answer to the nearest foot.
Answer:
19272 feet
Step-by-step explanation:
We are given that the distance between the person and peak is 5 miles.
and angle is [tex]47^\circ[/tex] when we look up at the mountain peak.
The given situation is best represented as a right angled triangle as shown in the attached figure.
[tex]\triangle[/tex]IKJ where [tex]\angle K = 90^\circ[/tex]
IK is the mountain.
J is the point where we are standing.
Distance JI = 5 miles
[tex]\angle J = 47^\circ[/tex]
To find: Distance IK = ?
We can use trigonometric identities to find IK.
[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sinJ = \dfrac{IK}{JI}\\\Rightarrow sin47 = \dfrac{IK}{5}\\\Rightarrow IK = sin47^\circ \times 5\\\Rightarrow IK = 0.73 \times 5\\\Rightarrow IK = 3.65\ miles \\\Rightarrow IK = 3.65 \times 5280\ ft\\\Rightarrow IK = 19272\ ft[/tex]
Hence, height of mountain = 19272 ft