Answer:
K ∩ L = {a, e, i, n, q, t, u}
K ∪ L = {a, e, i, l, n, o, q, t, u, y}
Step-by-step explanation:
Write the sets in alphabetical order
K = {a, e, i, n, o, q, t, u}
L = {a, e, i, l, n, q, t, u, y}
Set of all values that are members of both sets:
K ∩ L = {a, e, i, n, q, t, u}
Set of all values that are members of K, or L, or both:
K ∪ L = {a, e, i, l, n, o, q, t, u, y}
Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality
Midpoint is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd
How to prove the midpoint of a line?A line is a distance between two points. Given the line cd with "m" as the midpoint, the distance between cm and md will be equal that is:
md = cm
Given the following parameters
md = 6x - 22
cm = 3x - 10
Equate both expressions
6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12
x = 4
subtitute
cm = 3x - 10
cm = 3(4) - 10
cm =
Similarly:
md = 6x -22
md = 6(4) --22
md =
Since md = cm = 2 hence the point m is the midpoint of cd
Learn more on midpoint here: https://brainly.com/question/5566419
Please! I Need Help!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $______
The sales tax is 6.7% from $498.00 -> The sales tax = 498 x 6.7% = $33.366.
The total cost of the trampoline = 498 + 33.366 = $531.366
What is the solution to this system of equations?
Answer:
Replace the y, z, and x values with real numbers .
0 - 3 = -3
5 + 4 = 9
3 + 4 = 7
(40 POINT REWARD)
Find the measure of angle b.
(Picture below.)
Answer:
b= 26 degrees
Step-by-step explanation:
A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.
62 is the gap and also the value of the whole angle b+36.
Subtract 36 from 62 to get b.
62-36 = 26 degrees
Your answer!
7. Instructions: Find the missing side of the triangle.
Answer:
50²-30²=x²
2500-900=1600
√1600= 40
x=40
1) A user must be at least 13 years old to set up a video-sharing account.
Let x be the age in years of a user who can set up an account.
Which inequality represents the situation?
Answer: x [tex]\geq[/tex] 13
Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.
Hope this helps
Read the short selection and answer the questions from 11 to 16. Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.
__________________.
Answer:
can you add more context to the question it makes no sense with current given clues
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
46.24 mm²
Step-by-step explanation:
Given:
s = 6.8 mm
To find the area of the square, simply square the measure of the side length.
⇒ Area of polygon = s²
Substitute the measure of the side length:
⇒ Area of polygon = (6.8)² [s = 6.8 mm]
Simplify the area:
⇒ Area of polygon = (6.8)(6.8)
⇒ Area of polygon = 46.24 mm²
Answer:
46.24mm.²
Step-by-step explanation:
Multiplying base by height:
6.8 times 6.8 = 46.24mm.²
Or doing 6.8² (same thing)
Since this is a square you can do 6.8 squared.
please help me due today and giving 23 points
Answer:
The answer is b. 4*3 2/5.
Step-by-step explanation:
It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.
A store sells a package of 8 water bottles for $7.20.
What is the price per water bottle?
Answer:
$0.90
Step-by-step explanation:
$7.20 divided by 8 is 0.9.
Answer:
.90
8 divided by 7.20 is 1.11
1.11 times 7.20 = 8
Step-by-step explanation:
PLEASE ANSWER WITH SOLUTION PLS
1. A student scored 235 marks in the examination out of 300 marks. Calculate the percentage of marks secured by the student.
2. In an election, Magie N. Hawa got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560, find the number of valid vote polled in favour of Magie N. Hawa.
3. there are 108 girls in a school. 70% of the pupils in the school are boys. How many pupils are there in the school altogether?
Answer:
See below ↓
Step-by-step explanation:
1.
Score of the student on examination = marks scored / total marksScore = 235/300 [Divide throughout by 5]Score = 47/60 [Using long division, approximate to tenths place]Score = 0.783 [Multiply with 100 to convert decimals → percentage]Score = 78.3%2.
Total valid votes = 560 x (100 - 15)%Total valid votes = 560 x 0.85Total valid votes = 476Votes for Magie N. Hawa = 476 x 70%Votes for Magie N. Hawa = 333.2 ≅ 333 votes3.
108 girls = (100 - 70)% of pupils108 / 0.3 = number of pupils360 pupilsJonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
The perimeter of a triangle is 29cm. The length of side 2 is double the length of side 1 the length of side 3 is 5 more than side 1. Find the side length of the triangle
Answer: 6 cm, 11 cm, 12 cm
Step-by-step explanation:
is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7
Answer:
(x+5) is not a factor of f(x)
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Answer:
(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7
Step-by-step explanation:
To see if (x + 5) is a factor, you can use either synthetic division or long division.
I'll be using synthetic division to divide f(x) by (x + 5):
-5 | 1 -4 3 7
| -5 45 -240
---------------------
1 -9 48 -233
The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.
Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.
i need help 9th grade math
(f + g)(x) is another way of writing f(x) + g(x).
Given that
(f + g)(x) = 10x + 7
f(x) = 6x + 2
it follows that
g(x) = (f + g)(x) - f(x)
g(x) = (10x + 7) - (6x + 2)
g(x) = 4x + 5
g(x) be n
Now
n+6x+2=10x+7Interchange x
n+2=10x-6x+7n+2=4x+7n=4x+7-2n=4x+5Option D
Help please, keep going down on ixl and it’s due in the morning, currently 1:33 am
Answer:
82 yd²
area of rectangle:
Length * Width
6 * 424 yd²area of 2nd rectangle
5 * 210 yd²area of triangle
1/2 * base * height1/2 * 12 * 848 yd²total:
18 yd² + 10 yd² + 24 yd²82 yd²Helpppp please
Arusha decides to build the prism using two cubes with edge lengths of 5 centimeters. She will partially fill the prism with 150 cubic centimeters of sand. What fraction of the prism's volume will bring filled by the sand? Show your work
Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].
What is the volume of a cube?The volume of a cube of edge length l is given by:
V = l³.
In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:
V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.
150 cm³ will be filled with sand, hence the fraction is given by:
[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]
More can be learned about the volume of a cube at https://brainly.com/question/13030328
Please Help and explain
Im not to sure how to do this
Answer:
I think the answer is C
Step-by-step explanation:
The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.
if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.
so:
5x×12x=120
60x²=120
x²=120÷60
x²=2
x=√2
that means each dimension was increased by √2
so dimensions are: 5√2 and 12√2
HURRY!!!! I ONLY HAVE 1 MIN!!!!!!
A rectangular prism is 3 meters long, 5 meters wide, and has a height of 10 meters. What is its surface area?
100 m 2
50 m 2
190 m 2
95 m 2
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190
Answer:
mew
Step-by-step explanation:
Help me please, (b)
Answer:Aob is in the center
Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.
Write the fraction as a decimal. (3 points) five tenths a 0.5 b 0.05 c 5.0 d 1.5
There was a blizzard. Snow was falling at a rate of 4 ½ inches per hour. If the snow kept accumulating at the same rate, how long would it take for 27 inches of snow to accumulate?
A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.
Answer:
14 mph
Step-by-step explanation:
Speed of boat in calm water = x
Speed of current = y
Speed of boat with the current = 72 mi / 4 hr = 18 mph
Speed of boat against current = 40 mi / 4 hr = 10 mph
x + y = 18
x - y = 10
2x = 28
x = 14
Answer: 14 mph
Answer:
14 m/hr
Step-by-step explanation:
72 m / 4 hr = 18 m/hr
40 m / 4 hr = 10 m/hr
still water speed = (18+ 10 )/2 = 14 m/hr
current speed (14 -x) 4 = 40
x = current speed = 4 m/hr
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
Mode: 7
Range: 6
Step-by-step explanation:
Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.
Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.
9-3 = 6
In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.
The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.
73 / 2 = 36.5
1/5c= 2 (whole number) 1/2
what is it
you have to divide them
ill also give the smartest
PLEASE
The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.
What are fractions?Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.
What is the value of c?In order to determine the value of c, divide 2 1/2 by 1/5
2 1/2 ÷ 1/5
Convert the mixed fraction to an improper fraction
5/2 x 5 = 25/2 = 12 1/2
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
pls help me to answer this
Explanation:
We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.
For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.
Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.
Hello, can u help me out please i will give brainlist :)
Answer:
$5.75
Step-by-step explanation:
Find the difference between the weeks as this will give you the difference hence the amount deposited each week
0->1
is 12.00->17.75
diffrence is $5.75
1->2
is 17.75->23.50
diffrence is $5.75
the amount saved each week is $5.75
An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1
Answer:
Option A
Step-by-step explanation:
Step 1: Solve the equation
[tex]2x + 5 \geq 15[/tex]
[tex]2x + 5 - 5 \geq 15 - 5[/tex]
[tex]2x \geq 10[/tex]
[tex]2x / 2 \geq 10/2[/tex]
[tex]x \geq 5[/tex]
Step 2: What model represents the equation
Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.
Answer: Option A
First, subtract 5 on both sides
2x≥15-5
2x≥10
Now divide by 2 on both sides
x≥5
The correct option is Option Ahope helpful ~
How many roots does the equation -2x^3 = 0 have?
3
2
1
0
Answer:
3
Step-by-step explanation:
