Answer:
let side be t
t + x + y +x + y = 4x + 3y
t + 2x + 2y = 4x + 3y
t = 2x +y
so missing side length is 2x + y
If k is an integer, what is
k + 1
/2
!
? Why?
If [tex]k\in\mathbb{Z}[/tex] than [tex]k+1\in\mathbb{Z}[/tex] however any [tex]\mathbb{Z}[/tex] divided by 2 is in [tex]\mathbb{Q}[/tex].
But it is not so simple.
If [tex]k[/tex] is odd then [tex]k+1[/tex] is even but when even number is divided by 2, you get an odd number which is in [tex]\mathbb{Z}[/tex].
However if [tex]k[/tex] is even then [tex]k+1[/tex] is odd and when we divide that by 2, you get a number like for example [tex]\frac{5}{2}[/tex] which is not in [tex]\mathbb{Z}[/tex] but rather inside [tex]\mathbb{Q}[/tex]. There are fortunately no irrational numbers.
There is also a problem with zero, zero is neither odd nor even but still an integer. If your [tex]k[/tex] happens to be -1, [tex]k+1=0[/tex], and zero divided by 2 is still just 0 which is in [tex]\mathbb{Z}[/tex].
So to sum up,
If [tex]k[/tex] is odd and not -1, then [tex]\frac{k+1}{2}\in\mathbb{Z}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}[/tex].
If [tex]k[/tex] is even or -1, then [tex]\frac{k+1}{2}\in\mathbb{Q}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}[/tex].
Notes:
[tex]\mathbb{Z}[/tex] is a set of integers.
[tex]\mathbb{Q}[/tex] is a set of rational numbers.
[tex]\mathbb{Z}\subset\mathbb{Q}[/tex] means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.
Hope this helps :)
Which of the following does not represent a proportional relationship?
A. Zoe earns a base salary of $500 plus 3% commission
B. Dane drove 200 miles at a consistent speed for four hours
C. Water leaks from the faucet at a rate of 1/2 of a liter per hour
D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda
Step-by-step explanation:
the correct aanswer is 3 is correct answermark me bbrainleast plz
Answer:
d is the answer
Step-by-step explanation:
mark me as brilliant
Will give brainliest answer
9514 1404 393
Answer:
(C) g = f(-x)
Step-by-step explanation:
g is a reflection of f over the y-axis. Such a reflection replaces x with -x.
g(x) = f(-x) . . . . . matches choice C
_____
Additional comment
(A) leaves the function unchanged.
(B) is a reflection over the x-axis
(C) is a reflection over the y-axis (applicable here)
(D) is a reflection over the origin (both x- and y-axes)
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answer:
Step-by-step explanation:
Graph the line with slope 2 passing through the point (-5, 2)
Answer:
Equation is y=2x+12
The image is a picture of the graph(it's not the best but it's something.
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answer:
D
Step-by-step explanation:
I hope thats correct
Find the value of x if 3(4x+3)
find the total distance the model airplane
Answer:
1833 miles is the total distance if the model airplane.
Whatis (-5 + 3i) -(4+7i)?
Answer:
-5-4i is your answer.
I hope it will help youLines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.
If m ABC=122 and m ABD=71 then m DBC =
Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425
Answer:
answer it's c)24...
Step-by-step explanation:
i think helping you..... please tell correct or no...
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
The set of even natural numbers greater than or equal to 6
Answer:
{6, 8, 10, 12, 14, 16, 18, 20, ...}
Step-by-step explanation:
even natural numbers >/= 6.
Thus this has no upper limit and the set is thus infinite.
The set of even natural numbers greater than or equal to 6 is
What are the natural numbers?" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."
We know the natural numbers are:
{1, 2, 3, 4, 5, 6, 7,..........}
Now, the set of even natural numbers are:
{2, 4, 6, 8, 10...........}
Therefore, the set of even natural numbers greater than or equal to 6 is
{6, 8, 10, 12,..............}
Learn more about natural numbers here: https://brainly.com/question/8102087
#SPJ2
Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.
1. In some music, a whole note equals one measure, a quarter note
equals , of one measure, and an eighth note equals of one
measure. If one measure has two quarter notes and an eighth note,
what notes can make up the rest of the measure? Write and solve an
equation.
Answer:
3 eighths are needes to make up the rest of the measure.
Step-by-step explanation:
1/4 + 1/4 + 1/ 8 + x = 1
2/4 + 1/8+x=1
4/8 + 1/8+x=1
5/8 + x=1
x=1 - 5/8
x=3/8
We need three eights.(Because 3/8=1/8+1/8+1/8 and 1/8 represents an eights)
Write the fraction 16/28 in simplest form.
Answer:
1/4
Step-by-step explanation:
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
Answer:
C is the answer to your question
can someone help me please
Step-by-step explanation:
11.
[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]
[tex] \frac{4x}{x + 4} [/tex]
12.
[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]
[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]
[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]
[tex] \frac{x + 1}{x - 1} [/tex]
13.
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]
[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]
14.
[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]
[tex] \frac{3x - 1}{3} [/tex]
1+1×5−6+8×(4+4)−62
Find the ans here
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?
Step-by-step explanation:
Please mark me as brainlyest
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
add 6 to the difference between 9 and 7
a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)
What is the answer to this question?
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
A glucose molecule is the
smallest type of protein
monomer of starch and cellulose
largest of the carbohydrate polymers
fundamental unit of genetic material
A glucose molecule is the smallest type of protein monomer of starch and cellulose largest of the carbohydrate polymers fundamental unit of genetic material.
A glucose molecule is the monomer of starch and cellulose.
Step-by-step explanation:
Glucose is an organic molecule composed of carbon atoms, oxygen atoms, and hydrogen atoms.It has a molecular formula of [tex]C_6H_{12}O_6[/tex]It is a monosaccharide sugar, carbohydrateAn important source of an energy in living organisms.Glucose gives two different natural polymers named: starch and cellulose. This polymer is formed by linking small units of glucose molecules with each other. And this small unit which repeats in the structure of its polymer is known as a monomer.Glucose in the monomer in its natural polymer that was starch and cellulose.So from this, we can conclude that A glucose molecule is the monomer of starch and cellulose.
Learn more about glucose here:
brainly.com/question/13593795?referrer=searchResults
brainly.com/question/13159416?referrer=searchResults
Write an equation that expresses the following relationship.
p varies directly with d and inversely with the square of u
In your equation, use k as the constant of proportionality.
Answer:
p = k(d)/u^2
Step-by-step explanation:
BRAINLIEST, PLEASE!
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answer:
Step-by-step explanation:
Simplify 24 ÷ (3 + 2 square)
Answer:
3.42
Step-by-step explanation:
24/7=3.42
Noah bought 5 pounds of onions at $2 per pound and a bag of salad greens for $4. How much money did he spend?cant someone help me please
Solve for h. s=6πsh+6πs²
I got h=1/6π-s but it says the answer is correct but the format is not, ideas?
Answer:
Try h=(1-6πs)/6π
Step-by-step explanation:
That's the same answer in another format