Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
5/8 - 5/24
I am doing some homework my brain isnt working right now can someone help me out?
Answer:
5/12
Step-by-step explanation:
i just looked it up...
====================================================
Explanation:
Multiply top and bottom of 5/8 by 3 to get 15/24
This means 5/8-5/24 is the same as 15/24-5/24
The denominators are the same, so we can subtract the numerators to have them placed over the common denominator
15/24 - 5/24 = (15-5)/24 = 10/24
Then we reduce by dividing each part of the fraction by the GCF 2
10/2 = 5
24/2 = 12
Meaning that 10/24 = 5/12
Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.
So overall,
5/8 - 5/24 = 5/12
46. Hannah walks dogs for four different families. She charges each family the same
amount of money per hour. The numbers of hours she worked last week walking
dogs for each of the families are shown.
14 hours, 2 hours, 13 hours
, 3 hours
Hannah earned $93 for the hours she worked last week walking dogs.
• Calculate the amount of money Hannah earns per hour for walking dogs
• Write an equation that can be used to determine the amount of money, m, in
dollars, Hannah earns when she works h hours walking dogs.
• Show your work or explain your answer.
Answer:
Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9hStep-by-step explanation:
From the question,
Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.Hence, she worked for a total of (14 + 2 + 13 + 3) hours.
(14 + 2 + 13 + 3) hours = 32 hours
Hence, she worked for a total of 32 hours last week.
Also, she earned $93 for the hours she worked last weekTo calculate the amount of money Hannah earns per hour for walking dogs, that will be
$93 ÷ 32 hours = $2.9/hour
Hence, Hannah earns $2.9 per hour for walking dogs
For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,
If she works h hours for working dogs, then she will earn
$2.9 × h = $2.9h
Hence,
m = $2.9h
Where m is the amount of money Hannah earns in dollars
and h is the number of hours she spends walking dogs.
21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Answer:
he can make 6 goodie bags
Step-by-step explanation:
Is reported is a linking verb or an action verb or a being verb need help ASAP 100 points
Answer:
Action verb
Step-by-step explanation:
Reported is an action verb
Answer: I'm pretty sure it's and action verb
Step-by-step explanation: a linking verb is something that brings the sentence together but an action verb is when you're doing something. Reporting is an action
i also need help with this one too
Answer:
27°
Step-by-step explanation:
angle FDG is a alternate interior angle with angle BDG
Answer:
27
Step-by-step explanation:
the explanation is too long... just trust me its 27
A shipping company specializing in big items, like couches and cars, charges a $99 handling fee plus $0.32 per pound. Write an equation representing the total cost to ship an item based on its weight.
Answer:
$0.32x + $99 = c (cost)
Step-by-step explanation:
First, the problem tells you that the company is charging $0.32 per pound. The phrase "per pound" tells us that the 32 cents is not a fixed amount, so it must be paired with a variable like x since any item could easily weigh more than one pound when shipping.
Next, the problem says there's a handling fee of $99 for each purchase. This is a fixed amount, meaning there will be no variable with it since this fee will always just cost $99. This fee will be added to the $0.32x, so it can be represented anywhere in the equation like "+ $99" or "$99 +".
Finally, just write each term as an equation and you're all set! There can be multiple ways to write the equation. For example, $0.32x + $99 = c is correct, but $99 + $0.32x = c is also correct!
Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16, . . . For each sequence, describe a way to produce a new term from the previous term. If the patterns you described continue, which sequence has the second greatest value for the 10th term? Which of these could be geometric sequences? Explain how you know.
Answer:
1,2,4,8,16.
Step-by-step explanation:
they are a square root of 2 for each question. it will eventually get up higher then additive.
The sequence that has the second greatest value for the 10th term is
1, 2, 4, 8, 16, . . .
The geometric sequences in the given sequences is 1, 2, 4, 8, 16, . . .
What is a sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Now the given sequences are,
30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :
1, 2, 4, 8, 16, . . .
For sequence 30, 40, 50, 60, 70, . . . :
we have common difference, d = 10
So, this is an arithmatic sequence.
So, Tn = a1 + (n-1)d
Hence, 10th term of the series,
T10 = 30 + (10-1)10
T10 = 30 + 9*10
T10 = 30 + 90
T10 = 120
For sequence 0, 5, 15, 30, 50, . . .
This is a recurssive sequence
Hence each term of the series is given as,
0
5 = 5*1
15 = 5*(1 + 2)
30 = 5*(1 + 2 + 3)
50 = 5*(1 + 2 + 3 + 4)
.
.
.
.
.
10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
10th term = 225
For sequence 1, 2, 4, 8, 16, . . .
Here common ratio, r = 2
also, Tn = ar^(n-1)
So, T10 = 1*2^(10-1)
or, T10 = 1*2^9
or, T10 = 512
Therefore,
The sequence that has the second greatest value for the 10th term is
1, 2, 4, 8, 16, . . .
and The geometric sequences in the given sequences is
1, 2, 4, 8, 16, . . .
More about geometric progression :
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What is the value of x
Answer:
x = 5
Step-by-step explanation:
This uses the altitude on hypotenuse theorem
The 2 triangles formed are similar to the given triangle and to each other.
Δ ADB ~ Δ BDC
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values
[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
What is an equation of the line that passes through the points (5,4) and (2,-2)
Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
What are the coordinates of Point A (-5,-2) after a rotation 180° Counter Clock-Wise
The length of a rectangle is 3m more than the width. The area is 70m². Find the dimensions of the rectangle.
If it were a square it would be 17.5meters on every side, but we are not solving for a square we are solving for a rectangle. The dimensions for this rectangle are 19 long 16 wide.
Answer:
304m?
Step-by-step explanation:
okay bye
bye
Graph: Y-3 =1/2(x+2)
Answer:
It will pass in between (-8,0) on the x-axis and (0,4) on the y axis
Step-by-step explanation:
Here is the picture, if you ever need help go to desmos.com.
3x + 8y = 48, what is the missing value
Answer:
4
Step-by-step explanation:
Answer:
Answer: 6
Step-by-step explanation:
Solve the word problems using either the percent equation or the percent
proportion. Make sure to answer in a complete sentence. Round to the whole
number if necessary.
Arianna has an extensive music DVD collection. She owns 2300 DVD in total.
Twenty percent of the DVD’s are country music. How many country
music DVDs does she own?
Answer:
460
Step-by-step explanation:
20% of 2300 is 460
How is 0.000000006532 expressed in standard scientific notation? please tell me i wanna pass
Answer:
6.532 x 10^-9
Step-by-step:
1. 0.000000006532
2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532
3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation
A ball is thrown vertically upward from the top of a building 224 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is 224 0t 6ts = +8 −1 2a) After how many seconds does the ball pass the top of the building? b) After how many seconds does the ball strike the ground?
Answer:
i dont really know
Step-by-step explanation:
You can search t up on googl nd get the answer most lieyly
Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake
Step-by-step explanation:
Given data
Let the cheese be x
And strawberry be y
So
6x+6y=96-------1
x+4y=52----------2
Solving 1 and 2 simultaneously
Let us multiply equation 2 by 6 we have
6x+6y=96
6x+24y=312
-0-18y=-216
18y=216
y=216/18
y=12
Put y=12 in equation 2
x+4*2=52----------2
x+8=52
x=52-8
x=44
cheese =44
strawberry =12
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
The meter is the standard unit for:
weight
height
mass
length
The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock
Answer:
[tex]A = 97.50 + H[/tex]
Step-by-step explanation:
Given
Stocks: AT&T and IBM HockUnx
Required
Determine the algebraic expression
Represent AT&T with A and IBM HockUnx with H.
Since AT&T is 97.5 more than IBM HockUnx;
The required expression is:
[tex]A = 97.50 + H[/tex]
The number written 3.76ee13 in scientific notation
Answer:
yes also what is the question
Can i get some help im really confused and im in the test
Answer:
b y= 3x+6 is the ans but not sure
A triangle has two sides of length 19 and 3. What is the largest possible whole number length for the third side?
========================================================
Explanation:
Consider a triangle with side lengths a,b,c such that a < b < c
a = 3 and b = 19 are the two known sides
Let c be the missing side length
The missing side has the property that...
b-a < c < b+a
19-3 < c < 19+3
16 < c < 22
Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}
So c = 21 is the largest possible third side, where only whole number sides are considered.
We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.
---------------
Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.
Find the slope of the line from the graph.
Answer:will hope it help to find the answer with an unqualified
Step-by-step explanation:
100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
A 10
B. 20
c. 50
D. 80
E. 100
Answer:
C.50
Step-by-step explanation:
It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion
Number of times the coin will land heads will be 50
What is Binomial Distribution?
Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.
Here , number of times the coin had tosses: 100
P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations
since , head can come once and there are two possibility either head or tail
hence P= 1/2
this implies number of times heads land up = n*P = 100 *(1/2) = 50
option c) 50
Let us learn more about binomial distribution:
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A store has 7 blue chairs for $127.75 or 4 red chairs for $73.52. Which color chair has a higher cost per chair?
Answer:
Red
Step-by-step explanation:
Blue: $127.75 ÷ 7 = $18.25
Red: $73.52 ÷ 4 = $18.38
Blue's cost per chair: $18.25
Red's cost per chair: $18.38