Answers
The statement " Every integer is also a n irrational number" is false
Given,
The statement a
"Every integer is also a real number"
We know every integer is also is also a real number so the statement is true
Statement b
"Every irrational number is also a real number "
We know every irrational number is real number so the statement is true
Statement c
"Every integer is also an irrational number"
We know every integer is rational number but every integer is not irrational number so the statement is false
Statement d
"No irrational number is rational"
We know no irrational number is rational number so the statement is true
Hence, The statement " Every integer is also a n irrational number" is false
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Related Questions
Tim (t), isaac (i), and hannah (h) all sell individual insurance policies. isaac sells four times as much as tim, and hannah sells three times as much as isaac. create an equation in terms of tim (t) in order to find the portion he sells.
Answers
Using proportions, the equation in terms of Tim is given by:
T(t) = 17t.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we have that:
Isaac sells four times as much as Tim, hence I = 4t.Hannah sells three times as much as Isaac, hence H = 3I = 3 x 4t = 12t.Hence the total amount, as a function of Isaac's amount, is given by:
T(t) = I + H + t
T(t) = 4t + 12t + t
T(t) = 17t.
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if you draw two cards from a deck, what is the probability that you will get the ace of diamonds and a black card?
Answers
The probability that the ace of diamonds and a black card will come is 1 / 51 .
Case A :
probability of first getting an ace of diamonds = 1 / 52
probability of getting a black card given first card is ace of diamond = 26 / 51
Hence , probability that the ace of diamonds and a black card will come is ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )
Case B :
probability of first getting a black card = ( 26 / 52 )
probability of getting an ace , given first card is a black card = ( 1 / 51 )
Hence , the probability that the ace of diamonds and a black card will come is ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )
P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )
= ( 1 / 102 ) + ( 1 / 102 )
= 1 / 51 .
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the meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over the next six and one fourth hours. how much did the temperature drop each hour? 39.68 degrees 3.968 degrees 31.05 degrees 18.55 degrees
Answers
The temperature drop is B. 3.968 degrees each hour.
What is the temperature drop calculated?The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.
Data and Calculations:The total steady drop in temperature = 24.8 degrees
Total number of hours for the temperature drop = 6¹/₄ hours
6¹/₄ hours = 6.25 hours
Temperature drop per hour = total drop/total hours of drop
= 2(4.8 ÷ 6¹/₄ hours)
= 3.968 degrees
Thus, the temperature drop is B. 3.968 degrees each hour.
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the length of a rectangle is 2 feet less than the three times length express the area of the rectangle as a function of its width, using correct function notation
Answers
The area of the rectangle as a function of its width is a=3b-2.
[tex]s=(3b-2)b\\=3b^{2}-2b[/tex]
[tex]a=3b-2[/tex]
What is the advantages of area ?
Area is significant in contemporary mathematics. Aside from its obvious significance in geometry and calculus, area is also a fundamental characteristic of surfaces in differential geometry and is connected to the definition of determinants in linear algebra. The amount of space within a form is measured by its area.
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Think About the Process At a te-known vacation spot, taxi fares are a bargain. A 12-mile taxi ride takes 18 minutes and costs $7.20. You want to find the cost of a 33-minute taxi ride. What unit price
do you need?
Answers
We need to find out unit price per minute and the unit price is $0.4 per minute.
According to the question we have been given that
12 mile taxi rides takes = 18 minutes
cost of 12 mile taxi ride = $7.20
Thus we need to find the mile and the cost covered in 33 minutes which will be find out by unitary method.
Thus,
18 minutes taxi ride will cover = 12 mile
33 minutes taxi ride will cover = 12/18*33
= 22 miles
cost of 12 mile taxi ride = $7.20
then, cost of 22 miles taxi ride = 7.20/12 * 22
= $ 13.2
Now we need to find out the unit price which is unit price per minute.
Thus unit price is = $13.2/33
= $ 0.4
Hence we need to find out unit price per minute and the unit price is $0.4 per minute.
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There are a children in the class, and b of them are girls. How many boys are in the class?
Answers
Number of boys = a - b
Step-by-step explanation:Number of children in the class = a
Number of girls in the class = b
Number of boys = Total - Girls
a - b
In a proportional relationship when x=6 we know that y=14
Answers
Answer:
Given that y varies proportionally with x , with a constant of proportionality k=13 , find y when x=12 .
Write the equation of the proportional relationship.
The variable x varies proportionally with y with a constant of proportionality equal to 13
So,
Substitute the given x value.
Step-by-step explanation:
A cartoon of 2 dozen eggs includes 3 with cracks. how many eggs without cracks can be expected in 6 dozen eggs?
Answers
If a cartoon of 2 dozen eggs includes 3 with cracks, then the number of eggs without cracks in 6 dozen eggs can be expected to be 63.
A dozen abbreviated as doz is a batch of 12. So in this situation, one dozen refers to 12 eggs. Therefore the number of eggs in 2 dozen will be equal to,
1 dozen = 12 eggs
2 dozen = 12x2= 24 eggs.
Therefore, a cartoon of 24 eggs includes 3 with cracks.
Similarly, 6 dozen is equal to,
1 dozen = 12 eggs
6 dozen = 12 x 6 = 72 eggs
We can determine the number of eggs with cracks by using an algebraic expression,
24 eggs include 3 eggs with cracks
72 eggs include: x eggs with cracks
x = 72×3 ÷ 24
x = 216 ÷ 24 = 9 eggs with cracks.
Therefore the number of eggs without cracks can be calculated by the subtraction of total eggs from the eggs with cracks.
Eggs without cracks= 72 - 9 = 63 eggs.
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i need help
sum body help
Answers
Answer:
p = independent
t = dependent
The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.
Hope this helps :)
describe the given set with a single equation or with a pair of equations. the plane through the point parallel to a. the xy-plane b. the yz-plane c. the xz-plane
Answers
Equations for the set of the plane through the point [tex](x_0,y_0,z_0)[/tex] and parallel to:
a. xy-plane is [tex]z=z_0[/tex] b. yz-plane is [tex]x=x_0[/tex] c. xz-plane is [tex]y=y_0[/tex]
The given set is the plane through the point [tex](x_0,y_0,z_0)[/tex] parallel to:
a. xy-plane b. yz-plane c. xz-plane
Equation of the plane parallel to a plane containing a vector [tex]\vec r[/tex] through the point [tex](x_0,y_0,z_0)[/tex] is [tex](\vec r-(x_0,y_0,z_0)) .\vec n=0[/tex] ,where [tex]\vec n[/tex] is the normal to the plane and [tex]\vec r =x\vec i +y\vec j +z\vec k[/tex].
a. Plane through [tex](x_0,y_0,z_0)[/tex] and parallel to the xy-plane is,
[tex](x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec k[/tex] = 0
⇒ [tex](x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec k=0[/tex]
⇒ [tex]z-z_0 =0[/tex]
⇒ [tex]z=z_0[/tex] is the equation of the plane through [tex](x_0,y_0,z_0)[/tex] and parallel to xy-plane.
b. Plane through [tex](x_0,y_0,z_0)[/tex] and parallel to the yz-plane is,
[tex](x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec i[/tex] = 0
⇒ [tex](x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec i=0[/tex]
⇒ [tex]x-x_0 =0[/tex]
⇒ [tex]x=x_0[/tex] is the equation of the plane through [tex](x_0,y_0,z_0)[/tex] and parallel to yz-plane.
c. Plane through [tex](x_0,y_0,z_0)[/tex] and parallel to the xz-plane is,
[tex](x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec j[/tex] = 0
⇒ [tex](x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec j=0[/tex]
⇒ [tex]y-y_0 =0[/tex]
⇒ [tex]y=y_0[/tex] is the equation of the plane through [tex](x_0,y_0,z_0)[/tex] and parallel to xz-plane.
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Rose has 1 3/4 cups of powdered sugar. she sprinkles 1/3 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does rose sprinkle on the brownies?
Answers
0.58 or more than half of sugar is sprinkled by rose on the brownies.
How much sugar does rose sprinkle on the brownies?
Given,
Rose has 1 3/4 cups of powdered sugar.
1/3 of the sugar sprinkled on lemon cookies
Therefore'
1 3/4 = (4*1+3) / 4
= 7/4
1/3 of the sugar sprinkled on lemon cookies
= 1/3 (7/4)
= 7/12
= 0.58 or more than half of sugar is sprinkled by rose on the brownies.
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The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.
Answers
If [tex]X,Y[/tex] are independent, we have the properties for expectation and variance,
[tex]\Bbb E[aX + bY] = a\,\Bbb E[X] + b\,\Bbb E[Y][/tex]
[tex]\Bbb V[aX + bY] = a^2\,\Bbb V[X] + b^2\,\Bbb V[Y][/tex]
where [tex]a,b\in\Bbb R[/tex] are fixed.
Then
[tex]\Bbb E[R - S] = \Bbb E[R] - \Bbb E[S] = 10 - 7 = \boxed{3}[/tex]
and
[tex]\Bbb V[R - S] = \Bbb V[R] + (-1)^2\, \Bbb V[S] = 4^2 + 3^2 = \boxed{5}\,{}^2 = 25[/tex]
(recall that standard deviation = √(variance))
Identify all the possible proper subset relationships that
occur among the following sets.
Answers
the subsets in this case are:
C ⊆ BC ⊆ AB ⊆ AHow to identify the subsets?Remember that for two sets A and B, we say that A is a subset of B if and only if all the elements of A also are elements of B.
In this case, we have 3 sets:
A = {3n| n ∈ N}B = {6n| n ∈ N}C = {12n| n ∈ N}We can rewrite these ones as:
A = {3n| n ∈ N} = {3, 6, 9, 12, 15, 18, ...}B = {6n| n ∈ N} = {6, 12, 18, ...}C = {12n| n ∈ N} = {12, 24, 36, ...}Here we can see that all the elements in C also belong in B and also belong in A, and all the elements in B also belong to A, then the subsets are:
C ⊆ B
C ⊆ A
B ⊆ A
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[tex]9a-ab+5b if a=2 and b =7[/tex]
Answers
Answer:
If you want it graphed the answer is
andb=7
The formula wights are
mass of 1 1 mole of 9 a − a b + 5 b i f a = 2 = 0 g
Step-by-step explanation:
Last week, Pablo drove 115 miles. This week, he drove k miles. Using k, write an expression for the total number of miles he drove in the two weeks. 2-Step Equation find me an answer or sum, and givve me 5 stars.
Answers
The expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Last week, Pablo drove 115 miles. This week, he drove k miles. Therefore, the total number of miles for which Pablo drove can be written as,
Total number of miles = Number of miles last week + Number of miles this week
= 115 miles + k miles
= (115 + k) miles
Hence, the expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.
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Ben bowled 128 and 206 in his first two games. What must he bowl in his third game to have an average of at least 190?
Ben must bowl at least
least 190.
in his third game in order to have an average of at
Answers
Answer:
236
See the picture below for the work.
Step-by-step explanation:
(Total 3 marks)
5. Dave and Tanvir each think of a number, where Dave's number is larger,
The difference between their numbers is $. Dave's number plus twice Tanvir's number is 26
By forming simultaneous equations, determine each bloke's number.
Answers
Dave and Tanvir each think of a number, where Dave's number is larger,
The difference between their numbers is 5. Dave's number plus twice Tanvir's number is 26. By forming simultaneous equations, determine each bloke's number. The numbers are 12 and 7.
The number of Dave is 12 and the number of Tanvir is 7.
Given that
Dave and Tanvir each think of a number, where Dave's number is larger.
The difference between their numbers is 5.
Dave's number plus twice Tanvir's number is 26.
To find
By forming simultaneous equations, determine each bloke's number.
So, according to the question
Let's assume that numbers are x and y.
So, we can say that
x - y = 5 ------------(1) and
x + 2y = 26 ------------(2)
We have to solve that equations by using forming simultaneous equations.
For forming simultaneous equations, we have multiply equation(1) by 2, then add eq(2) with result.
So, we will get
2x - 2y = 10
(+) x + 2y = 26
---------------------------
3x +0 = 36
3x = 36
x = 36/3
x = 12
Putting the value of x in equation (1),
We will get,
x - y = 5 ------------(1)
12 - y = 5
- y = 5 - 12
- y = -7
y = 7
The numbers are 12 and 7.
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Simplify the expression 4( m - 2 ) + 3m
Answers
Answer:
7m-8
Step-by-step explanation:
distribute 4 through the parentheses
4m-8+3m
collect like terms
7m-8
Answer:
7m-8
Step-by-step explanation:
So to simplify this expression, you would need to do distributive property.
4(m-2)
(4*m) + (4*-2)
4m-8+3m
7m-8
So your simplification is 7m-8
In an arithmetic sequence, the first term is 8, the common difference is 3 and the last term is 68.
a How many terms are there in this sequence?
b Find the sum of all the terms of the sequence.
Answers
Answer: a. 21 terms
b. 798
Step-by-step explanation:
a. 68-8=60 ==> difference between 1st and last term
60/3=20 ==> number of terms after the first term
20+1=21 terms ==> total number of terms
b. Find the mean of the terms first:
(68+8)/2= ==> the mean of all terms in a sequence is equal to the mean of the first and last term
76/2=38
38*21=798 ==> add the mean 21 times to get the total sum since there are 21 terms in the sequence.
walter, agnes, and holly are making beaded lizards. walter has 476 green beads and 32 red beads. agnes has 104 green beads and 16 red beads. holly has 281 green beads and 80 red beads. they all share their beads so as to make the largest possible number of lizards. if a beaded lizard requires 94 green beads and 16 red beads, what is the number of green beads left over?
Answers
The number of green beads left over = 15
Walter:
Number of green beads = 476
Number of red beads = 32
Agnes:
Number of green beads = 104
Number of red beads = 16
Holly:
Number of green beads = 281
Number of red beads = 80
Total number of red beads = 32+16+80 = 128 beads
Number of red beads required for making one lizard = 16
Since 128/16 = 8 , there will be no red beads left after making 8 lizards.
Total number of green beads = 476+104+281 = 861 beads
Number of green beads required for making one lizard = 94
Now 861/94 = [tex]9\frac{15}{94}[/tex]
That is , 15 is the remainder when 861 is divided by 94
So there will be 15 green beads left after making 9 lizards.
Therefore, the number of green beads left over = 15
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The volume of a prism is given by the formula V=lwh , where l is the length, w is the width, and h is the height of the prism.
a. Solve the formula for h .
Answers
Answer:
[tex] \sf \large \: h = \frac{v}{lw} [/tex]
Step-by-step explanation:
Let's solve for h.
v=lwh
Step 1: Flip the equation.
hlw=v
Step 2: Divide both sides by lw.
hlw/lw = v/lw
h= v/lw
23. SALES TAX You buy a jacket, and the sales tax is 6%. The total cost is $79.49.
Find the cost of the jacket before the tax.
Answers
The Cost of jacket before tax is 74.73.
According to the statement
We have to find that the cost of jacket.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
the sales tax is 6%. The total cost is $79.49.
Then the real cost is :
Real cost = 6% of the $79.49
Then
solve it
tax amount applied on the jacket = 6/100*79.49
tax amount applied on the jacket = 0.06*79.49
tax amount applied on the jacket = 6/100*79.49
tax amount applied on the jacket = 4.76
Then
Cost of jacket before tax = 79.49 -4.76
Cost of jacket before tax = 74.73.
So, The Cost of jacket before tax is 74.73.
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Help, I've been stuck on these questions for an hour!
Explanations would be helpful, please!
Answers
Answer:
A. 3005
B. 3110
C. 1016.67
Step-by-step explanation:
A. Inital means occuring at the beginning. So the month they got the account, the value is around 3005. Every tick mark on the y-axis represents 30.
B. Like I said, every tick mark represents 30, so on the x-axis, the line between 6 and 8 is 7. go up towards where the line is, and that equals 3110.
C. I really haven't learned about rate of interest yet, but I tried my best to figure it out. I found out that for every month, you get 1016.67 value of interest.
Helpppp I will give 60 points for this one
Answers
Answer:
Step-by-step explanation:
A. L+W= 2 in. x 2 in. = 4 in.
the length is 2 in.the width is 2 in. so you multiply 2 in.x 2 in. which = 4 in.Below are some things to help you with perimeter and area(just type it into whatever browser you use, copy and paste)
https://youtu.be/LoaBd-sPzkU
https://th.bing.com/th/id/OIP.Q5D_8qbK_9XGQLj1s0tpbwHaJ3?w=186&h=248&c=7&r=0&o=5&dpr=1.65&pid=1.7
A cube-shaped planter has a volume of 729 in.³. What is the length of the planter?
Answers
Answer:
9 inches
Step-by-step explanation:
To find the volume of a cube, you could cube the side length, simplified as x³.
x³ = 729
x = 9
9 inches
Hope this helps! :)
. determine whether each of the following statement is true or false: a) x ∈ {x} b) {x} ⊆{x} c) {x} ∈{x} d) {x} ∈ {{x}}
Answers
(a) True, x is an element of the set {x}
(b) True, the set {x} is a subset of itself.
(c) False, x is an element of {x}, but the set {x} is not an element of {x}.
(d) True, the set {x} is an element of the set {{x}}.
What do you mean by the element of the set?The numbers 1, 2, 3, and 4 are the elements of set A, as indicated by the formula A=1,2,3,4. Subsets of A are collections of components from A, like 1, and 2. Sets may also function as elements.
Consider the set B=1,2,3,4 as an example. B's constituent parts are not 1, 2, 3, or 4. Instead, there are just three components of B: the numbers 1 and 2, as well as the set "3, 4."
A set's components can be anything. For instance, the set "C=red, blue, green" contains the colors red, green, and blue as its constituents.
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PLEASE HELP FAST! 35 PTS!!
Justify each step by identifying the property used.
[tex]t+5(t+1)=t+(5t+5)[/tex]
[tex]=(t+5t)+5[/tex]
[tex]=(1t+5t)+5[/tex]
[tex]=(1+5)t+5[/tex]
[tex]=(6t+5)[/tex]
Answers
The algebraic properties used in the steps are the distribution property, the associative property, the identity property, and the distribution property
How to justify each step by identifying the property used?The first step in the equation is given as:
t + 5(t + 1) = t + (5t + 5)
The distribution property states that
a(b + c) = ab + ac
So, the property used in t + 5(t + 1) = t + (5t + 5) is the distribution property
Next, we have:
t + 5(t + 1) = (t + 5t) + 5
The associative property states that
a + (b + c) = (a + b) + c
So, the property used in t + 5(t + 1) = (t + 5t) + 5 is the associative property
Next, we have:
t + 5(t + 1) = (1t + 5t) + 5
The identity property states that
a * 1 = a
So, the property used in t + 5(t + 1) = (1t + 5t) + 5 is the identity property
Next, we have:
t + 5(t + 1) = (1 + 5)t + 5
The distribution property states that
a(b + c) = ab + ac
So, the property used in t + 5(t + 1) = (1 + 5)t + 5 is the distribution property
Lastly, we have the solution
(6t + 5)
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What is the result of adding these two equations can you please answer
Answers
I need help asap!! (Fractions)
Answers
Answer:
b 2 2/9
Step-by-step explanation:
As we know
6×2/3 = {6×3+2}/3
=> 20/3
20/3 is the walk for 3 days
by unitary method
Walk of one day should be
20/3×3
20/9 = 2×2/9 miles per day
Answer:
2 2/9 miles per day
Step-by-step explanation:
If she walked 6 2/3 miles in 3 days, then she walked 1/3 of 6 2/3 miles in 1 days.
We need to find 1/3 of 6 2/3 miles.
1/3 of 6 2/3 =
= 1/3 × 6 2/3
= 1/3 × (6 + 2/3)
= 1/3 × 6 + 1/3 × 2/3
= 2 + 2/9
= 2 2/9
The lengths of the three sides of a triangle (in feet) are consecutive even integers. If
the perimeter is 96 feet, find the value of the shortest of the three side lengths.
Answers
Step by step
We know x is one side, even consecutive integers means add 2 for the next even number and add 4 for the next even number.
Our equation looks like this
(X) + (x + 2) + (x + 4) = 96
Solve for x
3x + 6 = 96
Subtract 6 from both sides to isolate x
3x + 6 - 6 = 96 - 6
3x = 90
Divide both sides by 3 to solve for x
3/3 x = 90/3
x = 30
So one side is x = 30
One side is x + 2 = 32
One side is x + 4 = 34
Add them together and the total is 96
Problem solved!!