If these two numbers F(51) and F(52) are added together. Then the number of results will be 53,316,291,173.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Two large numbers of the Fibonacci are given below.
F(51) = 20,365,011,074 and F(52) = 32,951,280,099.
The sum of the F(51) and F(52) will be
20, 365, 011, 074
+ 32, 951, 280, 099
53, 316, 291, 173
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Elijah henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%. what was his commission on the sales?
The commission on the sales will be $118.2.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%
The commission amount will be:-
7.5 % of $1576 will be calculated as:-
Commission = 1576 x 0.075
Commission = $118.2
Therefore the commission on the sales will be $118.2.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ1
Find the midpoint of the line segment. Please hurry 15 points!
Answer: Hope this helps you
0,0
what is the value of the digit 5in the number 734.95?
Answer:
0.05
explanation
value means total value
so it's 5*0.01
=0.05
help please and I'll mark you brainiest.
The probability will include:
P(A and 1) = 1/24P(C and 2) = 1/12.P(B and 3) = 1/12.P(A and 4) = 1/12How to calculate the probability?The probability of P(A and 1) will be:
= 1/4 × 1/6
= 1/24
The probability of P(C and 2) will be:
= 1/4 × 2/6
= 1/12
The probability of P(B and 3) will be:
= 2/4 × 1/6
= 1/12
The probability of P(A and 4) will be:
= 1/4 × 2/6
= 1/12
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Find the area and volume of a 11 inch cube (pls write do the equation in steps)
Answer:
1331 inches cubed
Step-by-step explanation:
V=LHW
since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.
Hope this helped!
If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft
The side |rs| is congruent to side |ac| which is 14 ft.
What are congruent triangles?Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.
The figures from the textbook illustrate that following rotation, the two triangles are congruent.
This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.
Therefore:
ab = tr = 10 ftac = rs = 14 ftbd = ts = 20 ftLearn more about congruent triangles here:
https://brainly.com/question/1675117
#SPJ1
What is the relationship between the number of sides a regular polygon has and the number of lines of symmetry that can be found on it?
There are always more lines of symmetry than sides.
They are same value.
There are always more sides than lines of symmetry.
There is no relationship.
The number of sides equals the number of the line of symmetry. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be
In a regular polygon, the amount of symmetry lines is equal to the total of sides.
Then the correct option is B.
More about the polygon link is given below.
https://brainly.com/question/17756657
#SPJ1
Answer:
B They are the same value!
Step-by-step explanation:
Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)
I'LL MARK BARINLEST!!!(With the help of the drawing tool, create a box plot using the data in Table 1.)
-------------------------------------
TABLE 1
----------------
height(Inches)
--------------------
61-64-62
55-66-65
58-60-63
63-58-59
62-64-67
57-61-57
65-58-59
62-57-61
Answer:
Median
Order the data values from smallest to largest:
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61
Quartiles
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
The first quartile is the median of the data points to the left of the median ⇒ first quartile = 58
The third quartile is the median of the data points to the right of the median ⇒ first quartile = 63.5
Five-number summary
Minimum: 55First quartile Q1: 58Median Q2: 61Third quartile Q3: 63.5Maximum: 67Draw a box from the first quartile (58) to the third quartile (63.5)
Add the median (61) as a the vertical line through the box.
The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).
[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Answer:
the answer to the questions is 140
Central angle
2(40)=80°So measure of arc BC is 80°
Use inscribed angle theorem
The measure of arc from A to B that doesn't pass through C is
180-mBC180-80100°There is a pair of parallel sides in the following shape 6,4,8 what is the area of the shape?
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
1. Solve the equation using square roots.
x² +10=9
Answer:
x=±√−1 (NO REAL SOLUTION)Step-by-step explanation:
x² + 1 = 0
1× x²+1=0
x=±√(−1×1)
x=±√−1 (NO REAL SOLUTION)
Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54.
what is the first term of the sequence?
to get to the next term, you would_____
this is a _____ sequence
there are 27 weeks left in this school year for monique. if she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
If Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
Tₙ = a + (n-1)d
(for all positive integer values of n)
Given Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54. Therefore, the sequence can be written as,
4.54, 9.08, 13.62, 18.16, 22.7, 27.24, .........
Therefore,
The first term of the sequence is 4.54, To get the next term you need to add 4.54. This is an arithmetic sequence.Since 9 weeks (40.86/4.54 = 9) are already over, and there are 27 more weeks, therefore, the spending till 36 weeks will be,
a₃₆ = 4.54 + (36-1)4.54
a₃₆ = 163.44
Hence, if Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.
Learn more about Arithmetic sequence:
https://brainly.com/question/3702506
#SPJ1
A subtrahend is the number being subtracted in a subtraction problem. Robert
misread the digit l in the ones place of the subtrahend as 7 and the digit 7 in the tens place of the subtrahend as 1. The difference in the subtraction then became 222. What would be the actual difference if he had read the numbers correctly?
From the calculation below, the actual difference, if Robert had read the numbers correctly, is 168.
How to use subtrahend in the calculation?Let X represents the number from which subtrahend is subtracted.
Therefore, we can calculate X as follows:
X – 17 = 222
X = 222 + 17 = 239
If the subtrahend is read correctly as 71 and then subtracted from 239, we have:
Actual difference = 239 – 71
Actual difference = 168
Learn more about subtrahend here: https://brainly.com/question/13073497.
#SPJ1
From a hot-air balloon, Ian measures a 30^{\circ}
∘
angle of depression to a landmark that’s 1250 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 721.7 f
Angle of elevation and depressionIn order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity
Given the following parameters
Angle of depression = 30 degrees
Horizontal distance =1250 feet
Required
vertical distance H
Using the SOH CAH TOA identity
tan 30 = H/1250
H = 1250tan30
H = 721.7 feet
Hence the balloon’s vertical distance above the ground is 721.7 feet
Learn more on angle of elevation and depression here: https://brainly.com/question/2096694
#SPJ1
Answer:
721.7
Step-by-step explanation:
-------------------------------------------------------------------------------
For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .
Which statement verifies that quadrilateral WXYZ is a parallelogram?
The difference of the slope of adjacent sides is .
The slopes of adjacent sides are opposite reciprocals.
The opposite sides have the same slope.
XY and YZ have the same slope.
The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.
What is a Parallelogram?This refers to a four-sided figure that is used in geometry and has parallel opposite sides.
Hence:
Remember that the opposite sides of a parallelogram are parallel.
We would solve:
Slope WX = 0
Slope XY= 5/2
Slope XZ= 0
Slope ZW= 5/2
The next step would be:
Slope WX= Slope YZ
Slope XY = Slope ZW
Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram
Read more about parallelograms here:
https://brainly.com/question/13497133
#SPJ1
. Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Brett draws the shape shown below.
He says the shape can be classified as a quadrilateral, parallelogram, rhombus, and square.
Is Brett correct? Explain.
The given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
What is a square?A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.
We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.
The given figure is a parallelogram as opposite sides of the figure are parallel and equal.
The given figure is a rhombus as all the sides are parallel and equal.
The given figure can not be a square as in the square all the four sides are perpendicular to each other.
Therefore given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
To know more about square follow
https://brainly.com/question/25092270
#SPJ1
Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
The answer is f of 5 = negative 1. The correct answer is option B
The complete graph is attached with the answer below.
What is graphed function?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.
Therefore answer is f of 5 = negative 1. The correct answer is option B
To learn more about graphing function from here
brainly.com/question/27757761
#SPJ1
Answer:
The answer is f of 5 = negative 1.
Step-by-step explanation:
Edge
What number needs to be added to 5 and 3 so that the ratio of the first number to the second becomes 3 : 2?
Answer:
1
Step-by-step explanation:
let x be the number to be added to 5 and 3
expressing the ratios in fractional form
[tex]\frac{5+x}{3+x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3(3 + x) = 2(5 + x) ← distribute parenthesis on both sides
9 + 3x = 10 + 2x ( subtract 2x from both sides )
9 + x = 10 ( subtract 9 from both sides )
x = 1
then the number to be added to both is 1
There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.
Answer:
137,114
Step-by-step explanation:
First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.
-33 + 8x = -3 (3x+6) + 2
Answer:
x = 1
Step-by-step explanation:
-33 + 8x = -9x - 18 + 2
8x+ 9x = -18 + 2 + 33
17x = -16 + 33
17x = 17
x = 1
give me brainliest please!
hope this helps :)
simplify (x^3+2x-3)-(x^2-2x+4)
Answer:
x³ - ((x+1)(x+1))
Step-by-step explanation:
x³ + 2x -3 - x² - 2x + 4
x³ - x² + 1
x³ - ((x+1)(x+1))
Answer:
x^3−x^2+4x−7
Step-by-step explanation:
Hope this helps! Have a great day!!
Need Help ASAP
Consider the circles A, B, C, and D.
Four circles A, B, C, and D are shown. Circle A has a diameter of 8 feet. Circle B has a diameter of 10 inches. Circle C has a diameter of 2 feet. Circle D has a radius of 50 inches.
a. Without calculating, circle
has the greatest circumference.
Question 2
Explain.
Answer:
Circle D
Step-by-step explanation:
The circumference of a circle can be calculated by multiplying the diameter by π. Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.
The only circle for which we have been told the radius is Circle D. The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in
There are 12 inches in 1 ft.
Therefore, the circumferences of the circles in order from smallest to largest is: B < C < A < D
Proof
Diameters
Circle A = 8 ft = 96 inCircle B = 10 inCircle C = 2 ft = 24 inCircle D = 2 × 50 in = 100 inLine segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
pick one of the following sums and investigate these
What happens?
what is the general rule for each sums?
how does the rule work?
3.7+7.3=
6.4+4.6=
9.1+1.9=
5.5+5.5=
The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.
How to find the general rule for a sum?Let's sum the decimal numbers to know the general rule,
Therefore,
3.7 + 7.3 = 11.0
6.4 + 4.6 = 11.0
9.1 + 1.9 = 11.0
5.5 + 5.5 = 11.0
Therefore, the values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.
When you add the tenth term together we will get ten which will make the value an integer
learn more on sums here: https://brainly.com/question/3722146
#SPJ1
Evaluate the expression below when x = 3 54 ÷ 2•3-x²
Answer:
72
Step-by-step explanation:
54/2(3)−3^2
= 54/2(3)−3^2
=72
How many different sequences of 3 playing cards (from a single 52-card deck) exist?
22,100
140,608
132,600
24,804
There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
What is Permutations?A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Here, total number of cards = 52
Number of Withdrawn cards = 3
Possibilities of different sequences of 3 playing cards = 52 X 51 X 50
= 132600
Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
Learn more about Permutations from:
https://brainly.com/question/1216161
#SPJ1
Answer:
132,600
Step-by-step explanation:
To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:
P(n, k) = n! / (n-k)!
Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).
Plugging in the values:
n = 52 (total number of cards in the deck)
k = 3 (number of cards chosen)
P(52, 3) = 52! / (52-3)!
Calculating the factorial terms:
52! = 52 x 51 x 50 x ... x 3 x 2 x 1
(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1
Simplifying the equation:
P(52, 3) = 52 x 51 x 50
P(52, 3) = 132,600
Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.
PLEASE HELP simplify (-2)(-3)^2-2(2-5)
Answer: -12
Step-by-step explanation: When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.
P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)
E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)
M- Multiplication
We can simply to.
-18+6
These simplifies into
-12
Answer:
-12
Step-by-step explanation:
-2*9-2(2-5) : Raise -3 to the power of 2
-18-2(2-5) : Multiply -2 by 9
-18-2*-3 : Subtract 5 from 2
-18+6 : Multiply -2 by -3
-12 : Add -18 and 6
Which is a true statement about the dot plot?
The team never scored exactly 2 goals in a single game.
The team scored exactly 1 goal in 3 games this season.
The most goals the team scored in a single game were 8.
The team scored exactly 3 goals in 4 games this season.
The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
What is a Dot Plot?A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.
In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
Learn more about dot plot on:
https://brainly.com/question/25957672
#SPJ1