The cardinal number of the given sets are:
Set A = 0 Set B = 1Set C = 4Set D = 3 Set E = 5Set F = 6Set G = 6How to determine the cardinal number of the sets?As a general rule, the cardinal number of a set is the number of distinct elements in the set
Using the above definition the cardinal number of the given sets are:
Set A = 0 because it is an empty setSet B = 1Set C = 4Set D = 3 -- because it contains 3 distinct numbers i.e 3, 4 and 5Set E = 5-- because it contains 5 distinct letters i.e S, T, A, I and CSet F = 6Set G = 6Read more about sets at:
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Which is a property of polygons?
A polygon is a plane figure.
A polygon is a solid figure.
A polygon has a maximum of 100 sides.
A polygon is an open figure.
Answer:
The answer is, A polygon is a plane figure,
it has no limit in the number of sides, its not an open figure, its not a solid
Step-by-step explanation:
Hope it helps
Answer:
A Polygon is a plane figure
Step-by-step explanation:
Properties of polygon:
1. A polygon is a plane figure with line segments. Two dimensional figure.
2. A polygon has minimum 3 sides and has maximum limit.
3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.
4. The sum of exterior angles of any polygon is 360
Which data set could be represented by the box plot shown below?
Answer:
(D)
Step-by-step explanation:
The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.
__
Each data set has 11 elements, sorted into increasing order.
extremesThe first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)
medianThe median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)
quartilesThe first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)
Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.
The box plot represents the data set in Choice D.
Can someone answer theese 3 questions
Answer:
Which three questions?
Step-by-step explanation:
I've answered this first question, I guess I need two more...
Solve for x.
Your answer must be simplified
15<−5x
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist.
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
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A square+B square=What
Pls Help me
The general algebraic identity is
A²+B²=(A+B)²-2ABLets derive
(A+B)²-4ABA²+B²+2AB-2ABA²+B²Hence verified
To the nearest thousandth, what is the area of the region bounded by y = ex and x = (y-1)²? 0.089 O 1.188 2.880 4.265
The area bounded by the curves will be 0.089. Then the correct option is A.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The functions are given below.
y₁ = eˣ ....1
x = (y - 1)² ...2
Then equation 2 can be written as
y₂ = √x + 1
The intersection point of the curves will be
eˣ = √x + 1
BY solving, the value of x will be
x = 0, 0.558
Then the area bounded by the curves will be
[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]
On further solving we have
A = -0.911 + 1
A = 0.0887
A ≅ 0.089
Then the correct option is A.
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JoAnne wanted to add some accessories to her house. She purchased the following items; 2 decorative bowls for $46 each, a picture for $85, a lamp for $67, and four candles for $12 each. How much did she spend?
$296
$292
$290
$294
Answer:
the answer is $292 :)
have a nice day
Determine a series of
ABCDE onto polygon A'B'C'D'E'?
12
transformations that would map polygon
2 3 4 5 6 7 8 9 10 11 12
-12-11-10-9-8-7
C
В'
O
B
A'
O
M9848945
11
10
4321
A
6.-5 -4 -3 -2 -1
D'
7-1
Á Ẻ ồ ó có ý ới ơi đã có có n
E
-9
-10
-11
-12
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
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Find x in this 45°-45°-90° triangle.
22
45
X =
Step-by-step explanation:
45 and 22 multiplied would be your answer
in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?
Answer:
1320 should be expected
Step-by-step explanation:
22 = 600
x10
220 = 6,000
x6
1320=36,000
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 1
Step-by-step explanation:
[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]
which expression is greater than 4
Answer:
all numbers<4
so numbers 5 and up
Step-by-step explanation:
At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold find the number of soda sold and the number is hot dog sold
Answer:
Hot dog sold = 33
Sodas Sold = 72
Step-by-step explanation:
Given:
At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold
To Find:
Number of soda/hot dog sold
Solve:
h + ( 39 + h ) = 105
h + 39 + h = 105
2h + 39 = 105
h + 19.5 = 52.5
h = 52.5 - 19.5
This as a system does not use any inequality. "39 more than" means, +39.
h = 33 meaning d= 72
Add to check Answer:
33 + 72 = 105
Thus,
Hot dog sold = 33
Sodas Sold = 72
Kavinsky
Which is an example of an isosceles right triangle?
Answer:
D.
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)
This morning, Manuel's car had 27.24 gallons of fuel. Now, 5.7 gallons are left. How much fuel did Manuel use?
gallons
Answer:
21.54
Step-by-step explanation:
27.24 - 5.7
= 21.54
10. What mass of carbon dioxide is produced when 6.2
moles of propane, C3Hg is burned in oxygen?
C3H2 + ___ O2 →
O2 → _ CO2 + _ H2O
-
-
i need help with 7th grade math please 30 points need help ASAP in fraction and simplest form.
Answer:
The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.
Drawing * Scale = Statue
Take the first dimension:
9 * scale = 63
63/9 = scale
scale = 7
Answer:
7
Step-by-step explanation:
The scale factor is the ratio between the actual size and the model size.
Here, they are termed as "statue" and "drawing" respectively.
Finding scale factor :
Actual size / Model size63/9 7A palindrome is a number that reads the same forwards and backwards, such as 22 or 39793.
How many palindromes are there between 10 and 400?
Answer:
There are thirty-nine palindromic numbers between 10 and 400.
Step-by-step explanation:
Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.
Choose an image (2, 3, or 4) and answer the questions.
a. How does this image change from the previous image?
Which of the following phrases in bold is an example of informal English?
After basketball practice Julie hit the books.
I really don't want to do my homework today.
Both Kelli and Rosa were late to the party.
Will ran down the street to catch the bus.
PLEASE HELP ME!!!!!!
Will ran down the street to catch the bus.
Hope this helps, thanks,
CoDBiarex
Answer:
After basketball practice Julie hit the books.
Step-by-step explanation:
Informal English often uses slang words that not everyone understands.
Form an equation whose roots are 2 and -4/3
Answer: x^2 i think
Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"
which statement about the ellipse are true ? select three options.
Answer:
There are three main types of a solar eclipses
Step-by-step explanation:
1. Total solar eclipse: A total solar eclipse is visible from a small area on Earth. The people who see the total eclipse are in the center of the Moon's shadow when it hits Earth. The sky becomes very dark, as if it were night. For a total eclipse to occur, the Sun, Moon and Earth must be in a direct line.
2. Partial solar eclipse: This happens when the Sun, Moon and Earth are not exactly aligned. The Sun appears to have a dark shadow on a small part of its surface.
3. Annular (an-yə-lər) solar eclipse: An annular eclipse happens when the Moon is farthest from Earth. Because the Moon is farther away, it seems smaller. It does not block the entire view of the Sun. The Moon in front of the Sun looks like a dark disk on top of a larger Sun-colored disk. This creates what looks like a ring around the Moon.
Animation of the Moon moving between the Sun and Earth
During a solar eclipse, the Moon blocks the sunlight to Earth. The Moon also casts a shadow onto Earth.
I hope this helps! ;)
[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1
Answer:
See below ~
Step-by-step explanation:
Identities :
cot x = cos x / sin xsin²x + cos²x = 1Changing the Left Hand Side (LHS) :
1/cot x + cotx1/(cos x / sin x) + cos x / sin xsin x / cos x + cos x / sin xTake (sin x)(cos x) as the LCM (Least Common Multiple)sin x (sin x) + cos x (cos x) / (sin x) (cos x)sin²x + cos²x / cos x sin x1/cos x sin xEqual to the RHSfind the distance between the points (8, 0) and (0, B)
Answer: B
Answer:
The difference is 8
Step-by-step explanation:
(06.01 LC) A scatter plot is shown. 10 9 8 7 6 5 4 3 2. 0 1 2 3 4 5 6 7 8 9 10 How many outliers does the graph show? (1 point) 01 02 03 4
Answer:
2 outliers
Step-by-step explanation:
(1,9) and (10,7) both are outliers.
There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.
What does outliers mean in scatter plots?An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.
From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.
These two points lies out side the cluster, so these points are outliers.
Therefore, option B is the correct answer.
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od
2
(
2 7 1-3
1 3 1-2
6:1-6
b =
d =
IDONE
Answer:
[tex] a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Multiply both the matrices on left side, we find:[tex]\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Comparing the corresponding elements of both the matrices on both sides, we find:[tex] a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}[/tex]The length of a rectangle is four times its width.
If the perimeter of the rectangle is 60yd find it’s length and width
Answer:
Length = 24 yd
Width = 6 yd
Step-by-step explanation:
To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.
Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :
4w = l
Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :
2l + 2w = p
"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"
2l + 2w = 60
Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)
2 (4w) + 2w = 60
Now, we solve
2 * 4w = 8w
8w + 2w = 10w
So now we have :
10w = 60
To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.
10w = 60
/10 /10
w = 6
Therefore, the width is 6.
Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.
6 * 4 = 24.
Therefore, the length is 24.
Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60
2 (24) + 2 (6) = 60
2 * 24 = 48
2 * 6 = 12
48 + 12 = 60
60 = 60
Now, we officially know that the length of the rectangle is 24 and the width is 6.
82°
57°
The measure of x is
The measure of y is
The measure of z is
to
Z
102
62⁰
Answers:
x = 16
y = 41
z = 123
==========================================================
Explanation:
Focus on the large triangle on the left.
The three interior angles of any triangle add to 180 degrees.
57+82+y = 180
y+139 = 180
y = 180-139
y = 41
-------------------
Now focus on the large triangle on the right.
We'll use the same idea as before.
x+102+62 = 180
x+164 = 180
x = 180-164
x = 16
-------------------
The last triangle to focus on is the small one in the middle.
Use the values of x and y to find z.
x+y+z = 180
16+41+z = 180
57+z = 180
z = 180-57
z = 123
Answer:
The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each. Let's first determine x.
[tex]x = 180 - (102+ 62)[/tex]
[tex]x = 180 - 164[/tex]
[tex]x = 16[/tex]
The second step that we need to do is to determine y using 82 and 57.
[tex]y = 180 - (82 + 57)[/tex]
[tex]y = 180 - 139[/tex]
[tex]y = 41[/tex]
The final step is to determine z using x and y
[tex]z = 180 - (x + y)[/tex]
[tex]z = 180 - (16 + 41)[/tex]
[tex]z = 180 - 57[/tex]
[tex]z = 123[/tex]
Therefore, x = 15 and y = 41 and z = 123
Hope this helps!
Find the area of the rhombus
Answer:
25
Step-by-step explanation:
area of the rhombus=1/2×d1×d2
1/2×5×10
=25