Answer:
⇒ π and √ 78
Rational number:
A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...
Irrational number:
A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....
_________________________
Rational numbers.
The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.
18 is a whole number and integer making it rational.
9 is a integer and a whole number = rational.
169 is a integer and whole number = rational.
_____________________________________
Irrational numbers.
√78 ≈ 8.831760866
This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.
Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.
So, why is PI irrational?It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.
_____________________________________
Therefore, the number that are irrational is π and √78.
Which ordered pair could not be the coordinates for a clockwise rotation of the point W (-3, 4)?
(-4, -3)
(3, -4)
(-4, 3)
(4, 3)
Answer:
(-4, -3)
(-4,3)
(4,3)
The clock wise rotation of the coordinate will be
(3,4)
(3,-4)
(-3,-4)
(-3,4)
Answer:
(-4,3)
Step-by-step explanation:
starting at -3 , 4
rotate clockwise 90° this will change (x,y ) to (y ,-x)
doing this 3 times results in
4,3 then 3, -4 then -4,-3 so the answer is (-4,3)
which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?
The three quantities needed are the mean of X, the mean of Y, and the slope
How to determine the values?The y-intercept of a linear regression is calculated using:
[tex]a = \bar y - a\bar x[/tex]
Where:
[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slopeHence, the three quantities needed are the mean of X, the mean of Y, and the slope
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A (-3,6) B (-1, 3) Find the gradient of the line
Step-by-step explanation:
please mark me as brainlest
If m || k and m || , then
k
m
3
2
Please help
Answer: [tex]k \parallel l[/tex]
Step-by-step explanation:
Lines that are parallel to the same line are parallel.
Isaac bought snacks for his team’s practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
each bottle of juice was $1.71
Step-by-step explanation
first, subtract the cost of the chips from the total cost
$16.62 - $2.94 = $13.68
now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8
$13.68 / 8 = $1.71
$16.62 - $2.94 = $13.68
$13.68/8 = $1.71
Each bottle of juice is $1.71
What is 5 + 10^5 or what is 5 + 10 to the 5th power?
Answer:
5 + 10^5 = 100005 (I think its this one you are looking for
(5 + 10)^5 = 759275
Step-by-step explanation:
Answer:
100,005
Step-by-step explanation:
Original: 10 * 1 = 10
First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.
I Hope This Helped :D
a die is tossed. find the odds against rolling a number greater than 1
Answer:
5/6
Step-by-step explanation:
cuz there's 6 sides and there are 5 more sides than the 1
The correct answer is : [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
a die has 6 sides.
each side has a number 1-6
The chance of it rolling a number greater than one is 5 chances per 6 options or 5/6
The area of a square can be represented by the expression x10. which monomial represents a side of the square?
The side of the square is x^5 .
What is the Area of the square?Area of a square = (side)² = a²,
Given;
area of a square = [tex]x^{10}[/tex]
Equating it with the general formula of square
Area of a square = a²,
a² = [tex]x^{10}[/tex]
Taking square root on both sides,
[tex]a = \sqrt{x^{10}} \\\\a = x^5[/tex]
Hence, the side of the square is x^5.
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If ADAB
ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B
Answer:
x=4
Step-by-step explanation:
We are given that the triangles are congruent.
Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.
Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.
[tex]m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\dfrac {32}{8}=\dfrac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x[/tex]
Expand . ( 3x –2 ) 2 need an answer ASAP.
Answer:
6x - 4
Step-by-step explanation:
For expanding (3x -2) 2 , (3x - 2) is to be multiplied with 2.
(3x - 2) × 2 = 6x - 4
Work out, giving your answer in its simplest form:
2/3 x 3 3/5
Answer: 12/5
Step-by-step explanation:
[tex]3 \frac{3}{5}=\frac{18}{5}\\\\\implies \frac{2}{3} \times 3 \frac{3}{5}=\frac{2}{3} \times \frac{18}{5}\\\\=\frac{36}{15}\\\\=\boxed{\frac{12}{5}}[/tex]
What value of k transforms the graph of f(x)=0.5x+3 into graph g? Describe the transformation.
for 7, 8, and 9
Using translation concepts, the values of k are given as follows:
7. k = 3.8. k = -2.9. k = 2.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
In graph 7, g(x) is a shift up of 3 units of f(x), hence k = 3.In graph 8, g(x) is a shift left of 2 units of f(x), that is, g(x) = f(x + 2), hence k = -2.In graph 9, g(x) is a vertical stretch by a factor of 2 of f(x), that is, g(x) = 2f(x), hence k = 2.More can be learned about translation concepts at https://brainly.com/question/27885240
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what is the measure of an angle if it is 260 less than three times its own supplement
Answer:
130 degrees
Step-by-step explanation:
Let's assume that the angle is X. If angle is x, then:
x+260 = 3x
subtract x from both sides:
260 = 2x
130 = x because 260/2 is 130
so the answer is 130 degreees
Answer:
I feel like the answer is 70 degrees
Step-by-step explanation:
3(180-x)-260=x
540-3x-260=x
-3x+280=x
280=4x
x=70
Applying the the properties of Congruence.
Quadrilateral GHJK = Quadrilateral LMNP.
Find the given side length or angle measure.
PLEASE HELP NO Scams pleaseeeee !!
Answer:
[tex]LM = 35cm[/tex] and [tex]m \angle H = 98^o[/tex]
Step-by-step explanation:
For this problem, it is critical to understand what the opening statement means.
[tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex] means that each pair of corresponding sides between shapes are congruent (they have equal length), and each pair of corresponding angles between shapes are congruent (they have equal measure -- or same number of degrees when measured with a protractor).
So, it's important to be able to determine which pairs are the corresponding parts. When the congruence is given like [tex]Quadrilateral GHJK \cong quadrilateral LMNP[/tex] the letters are in a particular order. That order explains the order in which the shape is drawn out, and they put them in the same order for both shapes to mean that those are the letters that correspond with each other.
So, the first letter of each are a corresponding pair, the second letter of each are a corresponding pair, ... etc
In other words, point G and L correspond, point H and K correspond, etc.
Part 1 -- Find LMTo find the corresponding sides, the sides for these shapes are defined by a two adjacent letters (two letters next to each other in the name, or ... as it wraps around the end of the name... the first and last letter).
[tex]\overline{GH} \cong \overline{LM}\\ \overline{HJ} \cong \overline{MN} \\\overline{JK} \cong \overline{NP}\\\overline{KG} \cong \overline{PL}[/tex]
While all of that is true, we only have a few sides with any information in them. Notice that side GH in the first shape, and sides PL & LM in the second shape are the only sides with anything written. So, we just need to determine which sides correspond (and thus, are congruent), so that we know how to move forward. Looking at the list of congruent sides above, we see that [tex]\overline{GH} \cong \overline{LM}[/tex]
Since the sides (line segments) are congruent, their lengths are equal
[tex]GH = LM[/tex]
...so we can substitute the expressions for each angle into the equation and solve for the unknown value "x"
[tex]GH = LM\\(4x+3)=(6x-13)[/tex]
[tex](4x+3)+13=(6x-13)+13\\4x+16=6x[/tex]
[tex](4x+16)-4x=(6x)-4x\\16=2x[/tex]
divide both sides by 2
[tex]\frac{16}{2}=\frac{2x}{2}\\8=x[/tex]
So, to find the length, LM, we just need to look back at the expression for LM:
[tex]LM = 6x-13\\LM = 6(8)-13\\LM = 48-13\\LM = 35[/tex]
remembering that the lengths are measured in centimeters (as indicated on the diagram): [tex]LM = 35cm[/tex]
Part 2 -- Find m∠HTo find the corresponding angles, the angles for these shapes are defined by a single letter, so since the points correspond in order, the names of the shapes tell which angles are congruent.
[tex]\angle G \cong \angle L\\\angle H \cong \angle M\\\angle J \cong \angle N\\\angle K \cong \angle P[/tex]
While all of that is true, we only have a few angles with any information in them. Notice that ∠H in the first shape, and ∠L & ∠M in the second shape are the only angles with anything written. So, we just need to determine which angles correspond (and thus, are congruent), so that we know how to move forward. Looking at the list of congruent angles above, we see that
[tex]\angle H \cong \angle M[/tex]
Since the angles are congruent, their measures are equal
[tex]m\angle H = m\angle M[/tex]
...so we can substitute the expressions for each angle into the equation and solve for the unknown value "y"
[tex]m\angle H = m\angle M\\(9y+17)=(11y-1)[/tex]
subtract 1 from both sides
[tex](9y+17)+1=(11y-1)+1\\9y+18=11y[/tex]
subtract 9y from both sides
[tex]\\(9y+18)-9y=(11y)-9y\\18=2y[/tex]
divide both sides by 2
[tex]\frac{18}{2}=\frac{2y}{2}\\9=y[/tex]
So, to find angle H, we just need to look back at the expression for the measure of angle H:
[tex]m\angle H = 9y+17\\m\angle H = 9(9)+17\\m\angle H = 81+17\\m\angle H = 98[/tex]
remembering that the angle is measured in degrees (as indicated on the diagram): [tex]m \angle H = 98^o[/tex]
Please give me more points so i can get help
Answer:
15°
Step-by-step explanation:
angle FGH = angle HGI ( since GH bisects angle FGI)
that means
(2x + 1) = (3x - 9)
= -x = -8
x = 8
angle HGI = (3x - 9)
= 3(8) - 9
24 - 9
= 15°
Answer:
21
Step-by-step explanation:
To find the measure of <HGI we first need to find the value of x
GH bisects angle <FI which means it divided the angle into two equal parts:
<FGH = <HGI
2x + 1 = 3x - 9 transfer like terms to the same side of the equation
1 + 9 = 3x - 2x
10 = x now replace x with 10
3*10 - 9 = 21
9) Find ST
geometry
ST and RU are equal,
24x = 23x + 1
Subtract 23x from both sides:
x = 1
Now replace x to solve for ST
24x = 24(1) = 24
ST = 24
Calculate -0.4 as a percentage of 1.8
Answer:
-22.2222222222%
Step-by-step explanation:
-0.4/1.8×100
What are the next three terms in the sequence 2, -4, -16, 32
Answer:
128, -256, -1024
Step-by-step explanation:
multiply 32 by 4, multiply 128 by -2, multiply -256 by 4
Select the correct answer. how might an architect use geometry in their work? to determine the best materials for a structure to decide how many electrical outlets to install to decide how much to charge for their design to design the floorplan of a structure
An architect uses geometry to charge for their design to design the floorplan of a sructure.
Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.
The shapes and sizes used in the architect’s design are often possible due to mathematical principles.
An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.
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Answer:
to design the floorplan of a structure
Step-by-step explanation:
Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.
Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
Indigo earned a grade of 93% on her multiple choice history final that had a total of
200 problems. How many problems on the final exam did Indigo answer correctly?
Answer:
186
Step-by-step explanation:
x/200 = 0.93
x = 200(0.93)
x = 186
The number of problems that Indigo did answer correctly in the final exam is 186.
Given that:
Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.
Total number of problems = 200
So, 100% grade = 200 problems
Let x be the number of problems which is answered correctly to get 93%.
Using the proportional concept,
[tex]\frac{x}{200} =\frac{93}{100}[/tex]
Cross multiply,
100x = 93 × 200
Dividing whole by 100,
x = 93 × 2
x = 186
Hence, the number of problems that are answered correctly is 186.
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HELP PLEASE ASAP Which choices are equivalent to the quotient below? Check all that apply.
√12/√6
A. √2
B. √4/√2
c. 2/√3
D.√6/√2
E. √6/2
F. 2
Step-by-step explanation:
[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]
[tex] = \sqrt{ \frac{12}{6} } [/tex]
[tex] = \sqrt{2} [/tex]
The answer is A.
How can you find the coefficients of any row of Pascal’s triangle?
A) combinations
B) factorials
C) expansion
D) binomial expression
The coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
How to determine the coefficients?A binomial expansion is represented as:
[tex](a + b)^n = ^nC_x a^xb^{n - x}[/tex]
Where:
x >= 0 and x <= n
In the above expression, the coefficient is:
[tex]^nC_x[/tex]
The above represents the xth term of a Pascal triangle and it is a combination expression
Hence, the coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
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What function does this graph represent?
Select the table that lists all the factor pairs for 24
Answer:
1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.
Step-by-step explanation:
can you answer this question using simultaneous equations the substitution method
Answer:
a) a=17/16, b=3/8 (17/16, 3/8)
b) x=12/17, y=25/17 (12/17, 25/17)
Step-by-step explanation:
I attached the work for solving the equations with substitution method... Sorry it took a bit of time and this would've been easier if the question's asking for elimination lol
Is 937.5 as the same as 937.50 Answer the question.
Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7 hour shifts. Each person will drive for one shift, and take two shifts off to rest. If Wesley’s first shift starts at 6:00 am, at what time will Wesley complete his third shift?
At 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Wesley and two of his friends are driving cross country nonstop and have agreed to take driving in 7-hour shifts.
Wesley’s first shift starts at 6:00 am
6:00 am = 6h 0m
= 6 + 7
= 13 h = 1:00 PM (Wesley's starts to rest)
Wesley will take a rest for 14 hours (7 + 7)
First shift = 7 + 14 = 21
Second shift = 7 + 14 = 21
Third shift = 7 = 7
= 21 + 21 + 7 = 49
= 49/24 = 2 days + 1 hour
6h + 1h = 7h = 7:00 am
Thus, at 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
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please help me its math
The value of f(x) = 3x² - 2x at x = 4 is 40.
What is function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Here, the given function;
f(x) = 3x² - 2x
put the value of x = 4, we get
f(4) = 3 X 4² - 2 X 4
f(4) = 3 X 16 - 8
f(4) = 48 - 8
f(4) = 40
Thus, the value of f(x) = 3x² - 2x at x = 4 is 40.
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What is the measure of m?
m = [?]√
Give your answer in simplest form.
Answer:
[tex]m=4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]n^2 = {8*4}[/tex] (By geometric mean theorem)[tex]\rightarrow n^2={32}[/tex][tex]m=\sqrt{n^2+8^2}[/tex] (By Pythagoras Theorem)[tex]\rightarrow m=\sqrt{32+64}[/tex] [tex]\rightarrow m=\sqrt{96}[/tex] [tex]\rightarrow m=4\sqrt{6}[/tex]Step-by-step explanation:
first find the relation between n,m and x
