[tex]{\sf{12 \times ( - 4) = -48}}[/tex]
find the distance between the two points in simplest radical form. (2,6) and (7,-6)
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
make a research about fibonacci sequence and its process kindly give at least five examples.
What is the Fibonacci sequence?
The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
The Fibonacci sequence begins with the following 14 integers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ...
Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.
The sequence can theoretically continue to infinity, using the same formula for each new number. Some resources show the Fibonacci sequence starting with a one instead of a zero, but this is fairly uncommon.
Example 1: Starting with 0 and 1, write the first 5 Fibonacci numbers.
Solution: The formula for the Fibonacci sequence is Fn= Fn-1+Fn-2
The first and second terms are 0 and 1, respectively.
F0 = 0 and F1 = 1.
F2 = F0 + F1 = 0+1 = 1 is the third term.
F3 = F2+F1 = 1 + 1 = 2 is the fourth term.
F4 = F3+F2 = 1+2 = 3 is the fifth term.
The Fibonacci sequence’s first five terms are 0,1,1,2,3.
Example 2: Find the Fibonacci series’ next term: 0, 1, 1, 2, 3, 5…
Solution: The preceding two Fibonacci terms are the next term in the series.
As a result, the word that must be used is – 3 + 5 = 8
Example 3: What is the significance of Fibonacci numbers?
Solution: In financial statement analysis, Fibonacci numbers are pretty helpful. In addition, the Fibonacci number series may be utilized to provide valuable proportions or ratios for business people.
Example 4: Find the 12th term of the Fibonacci sequence if the 10th and 11th terms are 34 and 55, respectively.
Solution: Using the Fibonacci Sequence recursive formula, we can say that the 12th term is the sum of the 10th term and the 11th term
12th term = 10th term + 11th term
= 34 + 55
= 89
The 12th term of the Fibonacci sequence is 89.
Example 5: The 14th term in the sequence is 377. Find the next term.
Solution: We know that the 15th term = the 14th term × the golden ratio.
F15 = 377 × 1.618034
≈ 609.99 = 610
The 15th term in the Fibonacci sequence is 610.
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8/36 = /9 what number is missing to equal 9
Answer:
72
Step-by-step explanation:
I am pretty certain that the answer is 72.
Steps:
[tex]\frac{8}{36}[/tex] [tex]\frac{x}{9}[/tex]
Cross-Multiply and Divide.
8*9 = 72
72 / 36 = 2
2/9 = 0.222222
8/36 = 0.222222
2/9 = 0.2222222
What is the probability of spinning B on the first spinner and an even number on the second spinner?
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
On the first spinner, there are 3 possible outcomes. Of those 3 outcomes, only one is what we're looking for (Landing on B). This means that the chance to land on B on the first spinner is [tex]\frac{1}{3}[/tex].
For the second spinner, There a 5 possible outcomes, and 2 even numbers on the spinner, meaning the chance to land on an even number is [tex]\frac{2}{5}[/tex].
Since these are independent events, we can simply multiply these numbers together and get [tex]\frac{1}{3}*\frac{2}{5}=\frac{2}{15}[/tex].
Given that p=3i+j+2kand q=i-2j-4k are the position vectors
of points P and Q respectively, use the information to answer
Questions 2 and 3.
2.
Find an equation for the plane passing through Qand
perpendicular to liné PQ.
The equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
Let position vector of point P be:
p = 3 i + j + 2 k
Let position vector of point Q be:
q = i - 2 j - 4 k
So, PQ = Q - P
PQ = n = i - 2 j - 4 k - (3 i + j + 2 k)
n = i - 2 j - 4 k - 3 i - j - 2 k
n = - 2 i - 3 j - 6 k
The Equation of plane passing through point Q and perpendicular to PQ will be:
(r - q).n = 0
r n = q n
q n = (i - 2 j - 4 k) . (- 2 i - 3 j - 6 k)
q n = - 2 + 6 + 24
q n = 28
r n = 28
r (- 2 i - 3 j - 6 k) = 28
r (2 i + 3 j + 6 k) + 28 = 0
Therefore the equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
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There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Answer:
10%
Step-by-step explanation:
firstly express as a fraction then multiply the fraction by 100% , that is
[tex]\frac{2}{20}[/tex] × 100% = 2 × 5 = 10% of the flowers are roses
pls answer if wrong i ban you
The coordinates of L are: (8,-4)
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) → (y, -x)
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
(x, y) → (y, -x)
L(4,8) → L'(8.-4)
M(4,3) → M'(3,-4)
N(8,8) → N'(8,-8)
Vertices of the rotated figure are:
L'(8.-4) M'(3,-4) N'(8,-8)
Hence we get the desired result.
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Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
[tex]=-6w^2-31w-35[/tex]
Step-by-step explanation:
Apply Foil.
[tex]\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=-6w^2-31w-35[/tex]
What is 6.4% written as a decimal number? 64.0 6.4 0.64 0.064
Answer:
0.064
Step-by-step explanation:
To convert just muiltiply the percent by 100.
9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
Help don’t understand question
Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.
This is what I got so far:
Before-tax:
(49-49)+4 = 4,
4/49 = 0.0816,
After-tax:
0.0816 (1-021) = 0.06448 or 6.45%
After the tax return percent is 7.43%.
What is a tax return?
A tax return is a form or form filed with a duty authority that reports income, charges, and other material duty information. Tax returns allow taxpayers to calculate their duty liability, schedule duty payments, or request refunds for the remittance of levies. A tax return is the completion of attestation that calculates a reality’s or existent's income earned and the quantum of levies to be paid to the government or government associations or, potentially, back to the taxpayer. Taxation is one of the biggest sources of income for the government.The tax-return of the corporation will be calculated by providing a 70% of deduction to the preference dividend.
The total amount of preference dividend which will be taxable= (dividend amount*(1-.7)
= (4*.3)= 1.20.
The total amount of tax= (total preference dividend taxable*x tax rate)
= (1.2*.3)=.36
The total after tax amount of Return= (preference dividend-tax)= (4-.36)= 3.64.
There will be no capital gain because there is no change in the price of preference shares.
After tax return=(after tax dividend/purchase price)
= (3.64/49)
= 7.43%.
After the tax return percent is 7.43%.
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Please help ASAP!!
Reporting wring answers. Thank you.
Write a problem that uses both multiplication and division
and whose answer is -9. Write the problem and then show the solution.
Answer:
(-27*3) ÷9
Step-by-step explanation:
-27*3=-81
-81/9=-9
A quadratic function is decreasing on (-∞, 3) and increasing on (3, ∞).
Will the vertex be the highest or lowest point on the graph of the parabola?
Explain.
Greetings from Brasil...
If X grows and Y grows, the function is increasing
If X increases and Y decreases, the function is decreasing
Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point
check the attachments
P.S. - vertex coordinate = (3; 0)
Please answer quick!
Answer:
-67
Step-by-step explanation:
[tex]x=-20 \implies x<-12 \\ \\ \therefore f(-20)=3(-20)-7=-67[/tex]
2x+1=2x-1 what is x equaled too
Answer:
x ≤ 0 = no solution
Step-by-step explanation:
[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]
5. This diagram is a straightedge and
compass construction. Which triangle is
equilateral? Explain how you know.
The ΔVZW is Equilateral Triangle .
Equilateral Triangle is defined as the triangle in which all the three sides of the triangle are equal.
For Example ; if a triangle ABC has lengths AB=2cm , BC=2cm and CA=2cm then the triangle ABC can be called as an equilateral triangle as all sides have same length i.e. 2cm .
In the question ,
From the diagram, we have the radius of all the circles are of equal length ,
Since the radius of all the circles are equal in length , their diameter will also be equal in length .
We can see from the diagram that VZ , ZW and WV are the diameters of the circles , So they will be equal in length ,
which means VZ = ZW = WV.
In triangle VZW the sides VZ , ZW and WV are of equal length , hence the triangle will be an Equilateral Triangle.
Therefore , the Triangle VZW is Equilateral Triangle .
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Centre of rotation square
Answer:
Point of intersection of its diagonals
Step-by-step explanation:
guys!! please help me, I’ll give out brainliest just please help it’s my final question and it’s currently 4 in the morning .
(geometry)
what is the perimeter of the rectangle ABCD?
Answer:
Please disregard
Step-by-step explanation:
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees. Does this rule apply to triangles in spherical geometry? If not, is there another value that they would always sum to? Explain your answer.
The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
It is given that:
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.
As we know,
Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.
For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.
In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
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Select all the triangles that have an area of 10 square units:
The triangles that have an area of 10 square units are triangles A and B
How to determine the triangles that have an area of 10 square units?The area of a triangle is calculated using
Area = 0.5 * Base * Height
Triangle 1
Base = 5
Height = 4
So, we have
Area = 0.5 * 5 * 4
Area = 10
Triangle 2
Base = 4
Height = 5
So, we have
Area = 0.5 * 5 * 4
Area = 10
Triangle 3
Base = 5
Height = 5
So, we have
Area = 0.5 * 5 * 5
Area = 12.5
Hence, the triangles that have an area of 10 square units are triangles A and B
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Can someone explain this to me?
What are the values of c for which f has a removable discontinuity?
1 only
5 only
1 and 7 only
1,5, and 7
Answer:
1 only
Step-by-step explanation:
1 only, as the other points have defined values.
The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed through a busy intersection.
What is the first quartile? Interpret this value in the situation.
About *insert fraction* of the cars going through the intersection were going *Q1* or slower.
Answer:
Step-by-step explanation:
Given,
N= 100
Q1=?
We know that,
Q1= N/4
= 100/4
= 25
Let f(X)=3√x
if g(x) is the graph of the f(x) shifted down 1 units and left 5 units write a formula for g(x)
g(x)=
g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
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for small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-l=al(t-t), where g is the length of the object at temperature t, and l is the length at temperature t, and a is a constant which depends on the type of metal. a rod is 135 cm long at 115 degrees f and made of a metal with a=10^-3. write an equation giving the length of this rod at temperature t(because a=10^-3 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).
Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.
What is temperature ?
A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius. According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).Given that,
Temperature denoted by T
G - L = aL(t - T)
G = aLt + L(1 - aT)
Slope = aL
Intercept = L(1 - aT)
g = 0.000085t + 84.991075 cm
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is X a positive, negative or zero? x + 5 = -8
Answer:
Negative
Step-by-step explanation:
x + 5 = -8
Subtract 5 from both sides to get x by itself
x = -13
Answer:
X is negative
Step-by-step explanation:
negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55
Answer: 19.6
Step-by-step explanation:
A farmer can plow a given field in 11 hours. If his son helps him, they can plow the vehicle together in 7 hours. How many hours would it take his son to plow the field alone? Express your answer as a fraction reduced to lowest terms, if needed
The total number of hours taken by farmer's son to plow the farm is 19 hours.
What is the concept of time and work?Time refers to the duration of any task or activity that occurs or continues.
Work is a process or set of tasks designed to achieve a specific result.
We can define work happening as follows: - If a person A completes a task in X days, the amount of work finished in 1 day is 1/x.Likewise, if a person B finished work in Y days, his work completed in 1 day will become 1/Y.We can conclude from the preceding two points that A and B can complete (1/(X+Y) amount of work in one day. As a result, A and B could really complete the task in X Y/(X+Y) days.For, the given question;
Let F be the number of hours taken by farmer to finish the work.
Let S be the number of hours taken by farmer' son to finish the work.
The amount of work finished in 1 hour by farmer is 1/F = 1/11.
The amount of work finished in 1 hour by farmer's son is 1/S.
The amount of work finished by both in 1 hours is;
1/F + 1/S = 1/7
1/S = 1/7 - 1/F
1/S = 1/7 - 1/11
Simplifying the given term;
1/S = 4/77
or, S = 77/4 = 19.25 hours.
S = 19 hours (fraction reduced to lowest terms)
Thus, the time taken by the farmer's son to complete the plow of field is 19 hours.
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PLEASE SOLVE THIS FOR ME. I ONLY KNOW THAT THE ANSWER WILL HAVE AN X IN IT
Answer: [tex]\boxed{\sqrt{12x-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt{2(6x-3)+5}\\ \\\sqrt{(12x-6)+5} \\\\\boxed{\sqrt{12x-1}} \\\\This\ is\ as\ far\ as\ you\ can\ simplify\ this[/tex]
what does 8+100-(7)/1^2 equal
Answer:
101
Step-by-step explanation:
