the answer is { } "an empty set or phi"
because there isn't any common elements between the two setsAnswer:
the empty set { }
Step-by-step explanation:
A ∩ C represents the intersection of sets A and C, that is the members of set A which are also members of set C.
In this case there are no common members, thus
A ∩ C = { }
Use angle ABD shown below to answer the question that follows:
Which of the following is a step towards proving the similarity of triangles ABC and DBA?
Answer:
They have the same measure.
Step-by-step explanation:
M<ABD and M<DBA have the same measure.
Answer:
segment BC is a hypotenuse
Step-by-step explanation:
the longest side of a right triangle, opposite the right angle.
One cube is 3 yards by 4 yards by 2 yards. Another cube is 3 feet by 4 feet by 2 feet. What is the ratio of the volume of the first cube to the volume of the second?
(there are 3 feet in a yard)
Answer:
9ft*12ft*6ft=648
3*4*2=24
648:24
area of circle
area
inscribed polygon
polygon
perimeter
equilateral
length
octagon
trapezoid
apothem
legs
hexagon
circle
composite figure
regular polygon
Answer:
1. area
2. circle
3. equilateral
4. length
5. perimeter
6. polygon
7. regular polygon
8. trapezoid
9. legs
10. area of a circle
11. hexagon
12. octagon
13. inscribed polygon
14. apothem
15. composite figure
Step-by-step explanation:
please help me! this question is worth 30 points!
Answer:
1/k^4
Step-by-step explanation:
Consider the diagram below.
What is the measure of arc PD?
A. 35°
B. 90°
C. 110°
D. 180°
Answer:
(C) [tex]110^{\circ}[/tex].
Step-by-step explanation:
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
[tex]{\angle}FED=90^{\circ}[/tex].
Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore
[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]
[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]
[tex]{\angle}DEP=55^{\circ}[/tex]
Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore
[tex]{\angle}PCD=2{\angle}PED[/tex]
[tex]{\angle}PCD=2(55^{\circ})[/tex]
[tex]{\angle}PCD=110^{\circ}[/tex]
Thus, the measure of arc PD is [tex]110^{\circ}[/tex].
Hence, option (C) is correct.
The measure of arc PD is 110. So, The correct option is option C.
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
90° = 135° + ∠DEP
∠DEP = 50°
Now, here is given,
∠FEP = 35°
∠FED = ∠FEP + ∠DEP....(1)
Plug the value of ∠FEP = 35° in equation (1),
∠FED = 90
90 = 35 + ∠DEP
∠DEP = 55
∠PCD = 2∠PED
∠PCD = 2 (55)
∠PCD = 110
Therefore, the measure of arc angle PCD is 110.
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If you create a box-and-whisker plot for the data set, which expression correctly calculates the third quartile, Q3, of the data set?
{4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.6, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4}
A)
(4.6 + 4.9)
2
B)
(4.5 + 5.1)
2
C)
(4.6 + 4.8)
2
D)
(4.4 + 4.8)
2
Answer:
D or "(4.4 + 4.8)
_______
2
Step-by-step explanation: I got it right on USA Test Prep
look at the picture and plzz give me the correct answer
Answer: C
Step-by-step explanation:
The initial amount of trees planted is 1,500, so answers B and D are out. The number that is raised to years (t) is 1.02, and since 1.02 is greater than 1, the number of trees planter per year is growing, and the .02 means that it is growing at 2% because 0.02 * 100 = 2%
Answer:
Step-by-step explanation:
C is correct. The initial number (of trees) was 1500, and that 2% translates into 1.02 inside the parentheses.
Based on the tree diagram below, what is the probability that a student doesn't have lice, given that the student tested negative? Round your answer to the nearest tenth of a percent.
A. 97.6%
B. 99.4%
C. 96.4%
D. 98.6%
Answer:
Option D (APEX)
Step-by-step explanation:
L= Student has lice
NL= Student has no lice
PT=Test Shows positive
NT=Test Shows negative
P([tex]\frac{NT}{NL}[/tex]) =0.7708 (Probability that a student has no lice and the test shows negative)
P([tex]\frac{NT}{L}[/tex]) = 0.0108 ( Probability that a student has lice and the test shows negative)
[tex]P\frac{NT}{NL}[/tex] = [tex]\frac{P\frac{NT}{NL} }{P\frac{NT}{NL} +P\frac{NT}{L} }[/tex][tex]\frac{0.7708}{0.7708+00108}[/tex][tex]\frac{0.7708}{0.7816}[/tex]0.98618219 (Simplify)Terms Of Percentages
0.98618219 × 100
=98.6
Therefore your answer is 98.6% (Option D)
APEX
The probability that the student doesn't have lice, given that the student tested negative is P ( A ) = 98.6 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the student doesn't have lice, given that the student tested negative be P ( A )
Now , the equation will be
The probability that a student has no lice and the test shows negative is given by P ( NL ) = 0.7708
The probability that a student has lice and the test shows negative is given by P ( L ) = 0.0108
And , The probability that the student doesn't have lice, given that the student tested negative P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]
On simplifying , we get
P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]
P ( A ) = ( 0.7708 ) / [ 0.7708 + 0.0108 ]
P ( A ) = 0.98618
P ( A ) = 98.6 %
Hence , the probability is 98.6 %
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Find the value of n .
6/n = 24/28
y = ___.
Answer:
[tex]n=7[/tex]
Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.
[tex]\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7[/tex]
Plug back in to check.
[tex]\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857[/tex]
Answer:
7
Step-by-step explanation:
I did it and it was correct! Please make me brainliest!
Hope this helpd! :)
Jenna bought 6 pounds of apples for $7.38. What is the unit price per pound of apples?
Answer:
$ 1.23
Step-by-step explanation:
We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.
To find that out, we will simply divide the total price of apples by the number of pounds she bought.
Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23
What is the answer to this equation? - (-5a^3)(2ab^3)
The answer is 10a^4b^3
4y+3y+8-5 simplify Plz help meh!
7y+3
combine like terms.
Hey there!
4y + 3y + 8 - 5
COMBINE the LIKE TERMS
= (4y + 3y) + (8 - 5)
= 4y + 3y + 8 - 5
= 7y + 3
Therefore, your answer is: 7y + 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
URGENT PLEASE HELP!!!!!
A plant is 13 inches tall and grows 2 inches a week. How many weeks will it take for the plant to be 23 inches tall?
Answer:
5 weeks
Step-by-step explanation:
So if the plant is 13 inches tall in the beginning every week adds 2 inches.
0 weeks = 13 inch
1st week = 15 inch
2nd week = 17 inch
3rd week = 19 inch
4th week = 21 inch
5th week = 23 inch
So it would take 5 weeks to grow 23 inches
Answer:
5 weeks for the plant to be 23 inches long
Step-by-step explanation:
You could take the size the plant is supposed to be, which is 23 inches long then subtract how tall the plant is which is 13 inches long then divide by 2 because the plant grows 2 inches each week. Or you could use a chart to help you, until you get to 23 inches. please give me the brainliest answer?
1weeks= 13 inches + 2 inches = 15 inches
2weeks= 15 inches + 2 inches = 17 inches
3weeks= 17 inches + 2 inches = 19 inches
4weeks= 19 inches + 2 inches = 21 inches
5weeks= 21 inches + 2 inches = 23 inches
:) Hope this helped!!! Have a good day!!! <3
Vanessa practices the piano for 60 minutes each day. So far, she has practiced 42 minutes today. What percent of her practice time does she have left to complete?
Answer:
30%
Step-by-step explanation:
1) Find the amount of time left to complete
60 minutes total - 42 minutes already played = 18 minutes left
2) Divide the amount of minutes left by the total minutes
18 minutes left ÷ 60 minutes total = 0.3
3) Multiply that value by 100 to turn the decimal into a percent
0.3 * 100 = 30%
Answer:
30%
Step-by-step explanation:
The answer is thirty percent. One way to solve this problem is to start by finding what percent of Vanessa’s practice time forty-two minutes represents.
Let p represent the unknown percent, and set up a proportion that compares the like ratios of parts to wholes.
Divide out the like minutes and cross multiply.
Divide both sides by sixty to solve for the percent of time Vanessa has already practiced.
Subtract seventy percent from one hundred percent to determine the percent of time she has left to practice.
Vanessa still has thirty percent of her practice time to complete.
Express 18^1/2 in simplest radical form
The simplified form of 18^1/2 is 3√2
Radical expressions and indicesGiven the exponential expression
18^1/2
According to power law of Indices:
a½ = \sqrt{a}
Applying this law to the given expression;
This can also be written as:
[tex]18^{1/2} =\sqrt{18}[/tex]
Simplify the radical to have:
[tex]\sqrt{18} = \sqrt{9 \times 2} \\\sqrt{18} = 3\sqrt{2}[/tex]
Hence the simplified form of 18^1/2 is 3√2
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an officer administrator earns 16$ an hour ,and she works 32 hours a week . what is her weekly wage
Answer: She makes $1632 a week.
Step-by-step explanation:
You multiply 16 times 32 and get your answer.
The circle below is centered at the point (-3,4) and has a radius of length 3.
What is its equation?
A. (x+ 3)^2 + (x-4)^2 = 9
B. (x-3)^2 + (x+4)^2=9.
c. (x+4)^2 + (x-3)2 =3^2
D. (x-4)^2 + (x+3)^2 =3^2
Answer:
(x + 3)^2 + (y - 4)^2 = 3^2 = 9 This matches Answer A.
Step-by-step explanation:
Start with the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
Here the given point (h, k) is (-3, 4) and the radius is 3.
Substituting these values into the above equation, we get:
(x + 3)^2 + (y - 4)^2 = 3^2 = 9 This matches Answer A.
Answer: (x-3)2 + (y+4)2 =9
Step-by-step explanation:
solve log8 12=x-2. Round your answer to four decimal places.
Answer:
[tex]\large\boxed{x\approx3.1950}[/tex]
Step-by-step explanation:
[tex]\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}[/tex]
[tex]3x=\log_23+8\qquad\text{divide both sides by 3}\\\\x=\dfrac{\log_23+8}{3}\\\\\log_23\approx1.5849625\\\\x\approx\dfrac{1.5849625+8}{3}\approx3.1950[/tex]
Answer:
B
Step-by-step explanation:
edge 2020
Over 2 years, how much more does $2000 in a savings account with an APR
of 4.6% compounded semiannually earn in interest than the same amount in
a savings account with an APR of 4.4% compounded quarterly?
Answer:
Final answer is $7.52.
Step-by-step explanation:
Given that initial amount P = $2000
Interest rate r = 4.6% = 0.046
Number of compounding periods per year = n = 2 {semiannually}
Time = 2 years
Then future value is given by :
[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]
[tex]A=2000\left(1+\frac{0.046}{2}\right)^{2\left(2\right)}=2190.45[/tex]
Similarly calculate future value for 2nd case:
Given that initial amount P = $2000
Interest rate r = 4.4% = 0.044
Number of compounding periods per year = n = 4 {quarterly}
Time = 2 years
Then future value is given by :
[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]
[tex]A=2000\left(1+\frac{0.044}{4}\right)^{4\left(2\right)}=2182.93[/tex]
then difference = 2190.45 - 2182.93 = 7.52
Hence final answer is $7.52.
Answer:
$7.52
Step-by-step explanation:
what is the cube root of 8x^27?
Answer:
2x^9
Step-by-step explanation:
∛8x^27
=∛(2x^9)^3
= 2x^9
Cube root of 8x^27 = 512.
How the cube root of 8x^27 is 512?In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.
∛8x^27
=∛(2x^9)^3
= 2x^9
= 512.
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What type of triangle has exactly two acute angles?
right
obtuse
equilateral
acute
Answer:
right and obtuse
Step-by-step explanation:
a right triangle has one right angle and two acute angles, and an obtuse triangle has one obtuse angle and two acute ones
i hope that this helps :)
What is the answer to number 2.
Answer: The correct answer would be B.
Step-by-step explanation:
Because....
24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.
* Hopefully this helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
The answer is To number two is b
If a 40 foot tree cast a 12 foot shadow find the length of the shadow cast by a 27 foot tree
Answer:
8.1 ft
Step-by-step explanation:
We can use proportions to solve. Put the height over the shadow
40 ft 27 ft
---------- = -----------
12 ft x ft
Using cross products
40x = 12*27
40x =324
Divide each side by 40
40x/40 = 327/40
x = 8.1
The shadow is 8.1 ft
Examine today’s stock listing for Parchar Special Effects, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 160.44 81.91 PCR 7.55 114.36 -4.89 Based on this information, what was yesterday’s price for Parchar Special Effects? a. $114.36 b. $109.47 c. $106.81 d. $119.25
Answer:
D
Step-by-step explanation:
I just took the test on E2020
Answer:
Option D. $119.25
Step-by-step explanation:
Today's stock listing for Parchar Special Effects shown below.
52 wk high = 160.44
52 wk low = 81.91
Symbol = PCR
Div. = 7.55
Close = 114.36
Net change = -4.89
Based on this information today's close is $114.36 and Net change is -4.89. It means the value of yesterday was 4.89 more than today's close.
Therefore, yesterday's price = 114.36 + 4.89 = $119.25
Yesterday's price was $119.25.
Find the output, y, when the input, x, is -1.
Y = ?
When the input is -1, the output is 3
The answer is 3
In the given graph, the value of y at x = - 1 is 7.
This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.
In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.
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Solve for y: 6x-3y=24
Answer:
[tex]y=2x-8[/tex]
Step-by-step explanation:
Isolate the variable and divide by the coefficient to solve for a variable.
[tex]6x-3y=24 \\ \\ -3y=-6x+24 \\ \\ y=2x-8[/tex]
Answer:
y = 2x - 8
Step-by-step explanation:
=> 6x - 3y = 24
=> -3y = 24 - 6x
=> 3y = 6x - 24
=> y = 2x - 8
darr has written 60% or 12 pages of his history report their wants to figure out how many pages he needs to write their work is shown below
The answer is 20 pages.
Hope this helps!
For this case we must make a rule of three to determine the number of pages to finish your work.
12 --------------> 60%
x ----------------> 40%
Where "x" represents the number of pages needed to complete the job:
[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]
So, there are 8 pages left to finish their work. The total number of pages of the work is 20.
Answer:
You need to finish 8 pages out of a total of 20
Write and simplify a rational expression for the ratio of the perimeter to the area of rectangle if the width is 4x and the length is x+6
Answer:
5x + 6 : 2x² + 12x
Step-by-step explanation:
Width = 4x
Length = x + 6
Perimeter
= 2(4x + x + 6)
= 2(5x + 6)
Area
= 4x(x + 6)
Ratio of perimeter to area:
= 2(5x + 6) : 4x(x + 6)
= (5x + 6) : 2x(x + 6)
= 5x + 6 : 2x² + 12x
Answer:
(5x + 6) : (2x² + 12x)
Step-by-step explanation:
Perimeter = 2(length + width)
= 2[4x + x + 6]
= 2(5x + 6)
Area = length × width
4x × (x + 6)
4x(x + 6)
Perimeter : Area
2(5x + 6) : 4x(x + 6)
(5x + 6) : (2x² + 12x)
The mean for the set of numbers 12 10 7 8 m is 25 what is the value of m
Answer:
m = 88
Step-by-step explanation:
The mean of a set of data is calculated using the formula
mean = [tex]\frac{sumofdata}{count}[/tex]
hence
[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )
37 + m = 125 ( subtract 37 from both sides )
m = 88
Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False
Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False
The rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.
What are rise and run?In a graph, the terms "rise" and "run" refer to the vertical and horizontal changes between two points on a line, respectively.
Here,
The rise of a line in the xy-plane is the vertical change between two points on the line, which is measured as the difference between their y-coordinates. The rise is sometimes also called the vertical distance or the vertical change.
Thus, the rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.
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