Answers
Answer:
Step-by-step explanation:
[tex]A \cap C[/tex] denotes the set of elements in both A and C, which is [tex]\{20, 24, 28\}[/tex].[tex]B^{C}[/tex] denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is [tex]\{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}[/tex]Related Questions
Which relation is a function??????
Answers
Answer:
A
Step-by-step explanation:
there cannot be 2 different points on the same x coordinate
Fill in the missing (yellow) exterior angle with (5x) to solve for x. Diagram may not be to scale.
Answers
Step-by-step explanation:
the sum of all exterior angles in a polygon is always 360° (one time around the full circle).
so,
360 = 71 + 85 + 44 + 3x + 5x = 8x + 200
160 = 8x
x = 20
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? Diagram shows a line segment with endpoints A(2, minus 6) and B(10, 2). Point D lies on this line segment. A dashed segment extends up from point A until point C and then extends horizontally to right until point D, forming a right triangle. A. (2, -1) B. (2, -3) C. (5, -3) D. (7, -1) Reset Next
Answers
The coordinates of point C that forms the triangle is; (2, -1)
How to partition a line segment?We are told that point D divides line segment AB in the ratio of 5:3.
The line segment division formula is;
(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)
For this question;
x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3
Thus, (x, y) gives us;
(5*10 + 3*2)/(5 + 3), (5*2 + 3*-6)/(5 + 3)
D(x, y) = (7, -1)
Now, we need to find the coordinates of C
We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line
And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).
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A country's population in 1991 was 103 million, in 1999 it was 108 million. estimate the total population in 2013
Answers
Answer:
117
Step-by-step explanation:
The total population is 117 million
The SAT is the most widely used test in the undergraduaté admissions process, Scores on the math portion of the SAT are believed to
be normally distributed and range from 200 to 800. A researcher from the admissions department at the University of New Hampshire
is interested in estimating the mean math SAT scores of the incoming class with 95% confidence. How large a sample should she take
to ensure that the margin of error is below 20?
(You may find it useful to reference the z table. Round intermediate calculations to at
least 4 decimal places and "2" value to 3 decimal places. Round up your final answer to the nearest whole number.)
Answers
Using the z-distribution, it is found that she should take a sample of 97 scores to ensure that the margin of error is below 20.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence by the Empirical Rule the standard deviation is given by:
[tex]6\sigma = 800 - 200[/tex]
[tex]\sigma = 100[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
To ensure a margin of error of 20, we solve for n when M = 20, hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]20 = 1.96\frac{100}{\sqrt{n}}[/tex]
[tex]20\sqrt{n} = 1.96 \times 100[/tex]
[tex]\sqrt{n} = 1.96 \times 5[/tex]
[tex](\sqrt{n})^2 = (1.96 \times 5)^2[/tex]
n = 96.04.
Rounding up, she should take a sample of 97 scores to ensure that the margin of error is below 20.
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28.6% of city employees ride the bus to work.Last year,29.7% of city employees rode the bus to work.What is the relative change from last year to this year
Answers
The number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
28.6% of city employees ride the bus to work. Last year,29.7% of city employees rode the bus to work.
The relative change will be calculated as follows:-
Relative change = Present year data - Last year's data
Relative change = 28.6 - 29.7
Relative change = -1.1%
Therefore the number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
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Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x²-8x-16
f(x) = -x² +8x-16
f(x)=x²-8x + 16
f(x) = -x² + 8x + 16
Mark this and return
Save and Exit
Next
Subm
Answers
Answer:abc and d
Step-by-step explanation:
trust me I took the dum test
The Function h is defined by the following rule.
h(x) = 2x-2
Complete the function table.
Answers
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
[tex]\textsf {The function is :}[/tex]
[tex]\boxed {h(x) = 2x - 2}[/tex]
[tex]\textsf {Finding the missing values :}[/tex]
[tex]\mathsf {h(-4) = 2(-4) - 2 = -10}[/tex][tex]\mathsf {h(-2) = 2(-2) - 2 = -6}[/tex][tex]\mathsf {h(1) = 2(1) - 2 = 0}[/tex][tex]\mathsf {h(4) = 2(4) - 2 = 6}[/tex][tex]\mathsf {h(5) = 2(5) - 2 = 8}[/tex][tex]\textsf {The table :}[/tex]
[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]
What is the solution of the quadratic equation (4y-3)^2=72
Answers
Answer:
To solve this quadratic equation, take the square root of both sides.
Since the left side is a perfect square, it will just be reduced to:
4y - 3
For the constant on the right side, the positive and negative roots must be considered.
√72 = ±6√2
Equating the two:
4y - 3 = ±6√2
4y = 3 ± 6√2
y = (3 ± 6√2)/4
y = (3 + 6√2) / 4 = 2.87
and
y = (3 - 6√2) / 4 = -1.37
A linear function contains the following points.
What are the slope and y-intercepts of this function?
Answers
The slope is -1, and the value of the y-intercept is 6 if the linear function contains the points provided.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is:
[tex]\rm m =\dfrac{6-8}{0-(-2)}[/tex]
m = -1
The equation of a line:
y = mx + c
y = -x + c
Plug x = 0 and y = 6
y = 6
y-intercept is (0, 6)
Thus, the slope is -1, and the value of the y-intercept is 6 if the linear function contains the points provided.
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Could use some help! Brainliest to who answers :)
Answers
Answer:
N. The number of people purchasing coffee each day in a coffee shop
Step-by-step explanation:
A fraction of a person could not buy coffee because every person is a whole person. If something is not a person, it's not a person. Therefore, the only numbers you could add to this value are 0 and 1.
What is the slope of the following graph? (write your answer as a fraction unless divided by 1. Do not use spaces in your answer)
Answers
The slope of the graph is 4/5
How to determine the slopeUsing the formula
Slope = Δ y-axis / Δ x- axis
y2 = -4
y1 = 0
x2 = -5
x1 = 0
Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values into the formula
Slope = [tex]\frac{-4 - 0}{- 5 - 0}[/tex]
Slope = [tex]\frac{-4}{-5}[/tex]
Slope = [tex]\frac{4}{5}[/tex]
Therefore, the slope of the graph is 4/5
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22x31
a537
b682
c492
Answers
Step-by-step explanation:
copy from there that right answer if need more then follow me Bhai or send me money
The first term of a sequence is 5.
The term-to-term rule is 'add 8'. What is the 10th term of the sequence?
Answers
Answer:
[tex]\fbox {77}[/tex]
Step-by-step explanation:
Given
⇒ a = 5
⇒ d = + 8
Solving :
⇒ a₁₀ = a + 9d
⇒ a₁₀ = 5 + 9(8)
⇒ a₁₀ = 5 + 72
⇒ a₁₀ = 77
Find f ° g and g ° f, if they exist. f={(-4,-5),(0,3),(1,6)} and g={(-5,0),(3,-4),(6,1)}.
Answers
The composite function of f o g are (-4,-5),(0,3),(1,6). The composite function of g o f are (-5,0),(3,-4),(6,1).
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Given;
f = {(-4,-5),(0,3),(1,6)}
g = {(-5,0),(3,-4),(6,1)}.
In order to find f o g and g o f,
f o g = f(g)
The composite function of f o g
f(-5,0) = (-4,-5)
f(3,-4) = (0,3)
f(6,1) = (1,6)
The composite function of g o f
g(-4,-5) = (-5,0)
g(0,3) = (3,-4)
g (1,6) = (6,1)
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Which of the following best describes a tessellation?
O A. An arrangement of repeating shapes with spaces between the
shapes and overlapping shapes
B. The point about which an image is rotated in rotational symmetry
C. An arrangement of repeating shapes with no spaces or overlaps
between them
D. The axis about which an image is rotated in reflectional symmetry
Answers
The statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
What is tessellation?
A tessellation can be defined as a pattern of geometric shapes that fill a two-dimensional space without gaps and overlaps
It is also known to repeat infinitely in all directions.
Thus, the statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
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if the degree mesures of the angles in a triangle are in the ratio 2:3:4, what is the degree measure of the largest angle
Answers
The largest angle of the triangle is equal to 80 degrees.
Concept: Angle sum property of a triangle i.e., the sum of all angles of a triangle is equal to 180 degree
Given : Degree measures of the angles in a triangle are in the ratio 2:3:4
Let one part of each angle of the triangle be x, so the different angles of triangle are 2x,3x,4x (taking the ratios given in the question and multiplying by each of them by x)
2x +3x +4x = 180x
180x = 20
The angles of a triangle are 40,60,80
The largest angle of the triangle is equal to 80 degrees.
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Please answer! Will give the brainliest!
Answers
Answer: K. 3
Step-by-step explanation:
There are 30 students in total. What I did is I added everything that was in the Venn diagram and subtracted that from 30.
[tex]12+5+10=27[/tex]
[tex]30-27=3[/tex]
Therefore, there are 3 students who didn't like either English or math.
I hope this helps! Pls give brainliest!! :)
The blue dot is what value on the number line -6 -10
Answers
Answer:
I have no clue what I could answer that question with other than (-6,-10)
A family originally bought a home for $654,030. Now, a few years later, the home is worth
$457,821. What was the percent of decrease in its value?
Answers
Answer:
30%
Step-by-step explanation:
First we find out the difference between them:
$654,030 - $457,821 = $196,209
Then we compare it with the original price:
196,209/654,030 = 0.3
Since 0.3 is 30%, that is 30% decrease in value.
An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and σ = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases?
Answers
Answer:
[tex] \frac{?}{?} [/tex]
A woman bought some large frames for $10 each and some small frames for $4 each at a closeout sale. If she bought 22 frames for $106, find how many of each type she bought.
Answers
Answer:
19 small frames and 3 large frames
Step-by-step explanation:
follows the steps in the attached
What is the measure of complemnt angle
a)42° b) 35°
Answers
Answer:
90°
Step-by-step explanation:
A complement angle is the same as a right angle
Hii!
___________________________________________________________
Answer:
[tex]\sf 48\textdegree[/tex][tex]\sf 55\textdegree[/tex]Step-by-step explanation:
The sum of complementary angles is always 90 degrees.
We can find the complements of these two angles by setting up an equation.
x+42=90
Subtract 42 from both sides
x=48
This problem can be solved the same way!
x+35=90
Subtract 35 from both sides
x=55
--
Hope that this helped! Best wishes.
--
find the y-component of this vector
leave an explanation for brainlest
Answers
The y- component of the vector is 18.31728 m
What is Vector?A quantity that has both magnitude and direction but not position.
The y- component is
Dy = 18.6* sin80
Dy = 18.6* 0.9848
Dy= 18.31728 m
Hence, the y- component of the vector is 18.31728 m.
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What is the scale factor of this dilation? Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3. One-fifth One-half 1 2
Answers
Answer:
0.5
Step-by-step explanation:
well you can just take one of the sides and in this case I'll use AC which originally is 8 and then in AC prime it's 4. You can simply divide the new length by the original length which is 4/8 or 0.5. So if you multiply any of the original side lengths by 0.5 you'll get the new side length.
Answer:
1/2
Step-by-step explanation:
edge 23
You are betting on a game with an expected value of -$0.33. What does this mean?
Answers
curved surface area of a cone = Trl, where r is the
radius and I is the slant height.
surface area of a sphere = 42, where r is the
radius.
The shape below is made from a hemisphere and a
cone, each with a radius of 6 cm.
Work out the surface area of this shape in terms of .
16 cm
6 cm
Not drawn accurately
Answers
Answer:
168π cm²
Step-by-step explanation:
The total surface area is the sum of the areas of the parts: a hemisphere and a cone.
__
area formulaThe area of a hemisphere is half the area of a sphere, so the total area is ...
total area = hemisphere area + cone area
= 2πr² +πrl
total area = πr(2r +l)
__
applicationFor the given dimensions, r = 6 cm, l = 16 cm, the total surface area is ...
total area = π(6 cm)(2(6 cm) +16 cm) = π(6)(28) cm²
total area = 168π cm²
Trigonometry is crazy
Answers
Answer:
see the attachment photo!
i hope this can help you! :)
Find the area.
8 in
19 in
13 in
1976 in²
205 in²
128 in²
104 in²
Answers
Total area = 104+24 = 128 sq.in , Option C is the right answer.
The missing figure is attached with the answer.
What is Area ?The space occupied by a two dimensional figure is called Area.
The figure given in the question can be divided into two figure
A rectangle of 8 * 13 inch
and a triangle of 8 * 6 inch
The area of a rectangle is given by
Length * Breadth
8 * 13
= 104 sq.inch
The area of the triangle is given by
(1/2) * base * height
= (1/2) * 8 * 6
= 24 sq.inch
Total area = 104+24 = 128 sq.in
Therefore Option C is the right answer.
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Josh made $35,000 in taxable income last year.
Suppose the income tax rate is 15% for the first $8500 plus 17% for the amount over $8500.
How much must Josh pay in income tax for last year?
Answers
Then take 26500 which you get from taking 8500 from 35000. Then you 26500 times .17 to get 4505 then 26500-4505 to get 21995 then for the total do 21995+7225=29220