There are 22 even numbers in the top 10 rows.
Pascal's triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle.
The tip of the triangle starts with 1 and the 1 starts continuing to both the ends of the triangle in each row and in between there is the sum.
For example:
1
1 1
1 2 1
1 3 3 1
In the above manner, it continues.
now, for 10 rows the pascal triangle will be:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
for five rows in the top, the even numbers are 2, 4, 6, 4 which are 4 in total.
for 10 rows in the top, the numbers are 2, 4, 6, 4, 10, 10, 6, 20, 6, 8, 28, 56, 70, 56, 28, 8, 36, 84, 126, 126, 84, 36
Hence there are 22 even numbers in the top 10 rows.
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melissa drew a scale drawing of a city. a neighborhood park is 36 inches wide in the drawing. the actual park is 60 yards wide. what is the scale of the drawing?
The scale of the drawing by using proportion is 3 : 5.
According to the given question.
Melissa drew a scale drawing of a city.
The width of the park in the drawing is 36 inches.
And the actual width of the park is 60 yards.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Therefore, the scale of the drawing by using proportion
= 36iches/ 60 yards
= 3/5
= 3 : 5
Hence, the scale of the drawing by using proportion is 3 : 5.
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Find the distance between the two points shown on the graph below, located at (1, 2) and (3, 1).
The distance between the two points as depicted on the graph is:
√5.
Given, the points are:
(1,2) = (x₁,y₁) and
(3,1) = (x₂,y₂)
We know that distance between two points is:
d = √(x₂-x₁)²+(y₂-y₁)²
d = √(3-1)²+(1-2)²
d = √(2)²+(-1)²
d = √4+1
d = √5
Hence we get the distance between two given points as √5
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Write an integer expression using absolute value symbols to represent the verbal expression.
the opposite of the absolute value of eight
The absolute value of the given integer(i.e. -7) is 7
Absolute value:
The absolute value (or modulus) | x | of a real number x is its non-negative value regardless of its sign.
A number's absolute value can be assumed as its distance from the origin along the real number line. Furthermore, the distance between two real numbers is the absolute value of their difference.
Let's assume the given integer=-7 and need to find the absolute value of the given integer.
Then the absolute value of the given integer(i.e. -7) is 7
Therefore, The absolute value of the given integer(i.e. -7) is 7
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Please help my I ready is due today !!!
Answer:
calculate the number of terms of the series 5;8;11;...173
PLEASE HELP WITH THIS MATH
Answer:
Without being able to measure it, it looks like the first on is 45 degrees and the second one is 90 degrees.
Step-by-step explanation:
Do you have a protractor that you can measure them with?
the length of a new rectangular playing field is yards longer than the width. if the perimeter of the rectangular playing field is yards, what are its dimensions?
The width is 53 yards and the length is 108 yards.
What is the perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter. There are several practical applications for calculating the perimeter.To find the dimensions:
First, we'll turn the information we have into an equation, where x is our unknown dimension.For this problem, it would be preferable if x equaled width.Let's write the equation down:X is the width, 2x + 2 is the length, and we multiply both by two because the field has two sides. Because the perimeter is 322, it will all add up to 322.2 × x + 2(2x +2) = 322Now, solve as follows:
2 × x + 2(2x + 2) = 3222x + 4x + 4 = 3226x + 4 = 3226x = 318x = 318 ÷ 6x = 53The width measures 53 yards.
To calculate the length, multiply 53 by two and add two.
53 × 2 + 2 = 106 + 2 = 108 yardsTherefore, the width is 53 yards and the length is 108 yards.
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The correct question is given below:
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?
Turn these into ratios, what is the simplest form?
Answer:
1. [tex] \frac{39}{59} = 39:59[/tex]
2. [tex]\frac{52}{120} = 13:30[/tex]
The above should be what you're looking forWhat is limit as x approaches zero of f(f(x)) closest to?
a. DNE
b. 1
c. 3
d. 5
note: I thought the answer was does not exist, but it ended up being wrong, please help and explain the answer!
Using limits and numeric value, we have that lim x -> 0 f(f(x)) is closest to:
c. 3.
What is f(f(x))?f(f(x)) is a composite function, hence:
For x = a, first we calculate the numeric value at x = a.Then we calculate the numeric value at x = f(a).What is a limit?A limit is the value that a function f(x) tends as x tends to a value. It there are no undetermined values, we can just verify the numeric value from the graph, but with undetermined values, there are multiple things to look at.
For this function, looking at the graph, we have that:
f(0) = 2, as when x = 0, f(x) = 2.Thus, lim x -> 0 f(f(x)) = lim x - > 2 f(x), because f(0) = 2.Both to the left of x = 2 and to the right of x = 3, from the graph, f(x) approaches 3, hence lim x - > 2 f(x) = 3.This means that option c is the closest approximation for the limit of the function.
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`y=2x^{2}+12x+20` find the vertex
Answer: (-3,2)
Step-by-step explanation:
Answer:
(-3, 2)
Step-by-step explanation:
There are two methods on finding the vertex. The one I will be using is the faster version.
y=2x^{2}+12x+20
a=2 b=12 c=20
First use the formula -b/2a.
-(12)/2(2)=
=-12/4=-3
-3 is the x-coordinate.
Plug in -3 into the equation for x.
y=2(-3)^{2}+12(-3)+20
y=2(9)+12(-3)+20
y=18-36+20
y=2
The y-coordinate is 2
Use (x, y) for the vertex.
x=-3
y=2
The vertex is (-3, 2)
Hope this helps!
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How do I write -2=y into slope intercept form?
Answer:
(0,-2)?
Step-by-step explanation:
please find x to this. 5/9x -11 = -51
5/9x -11 = -51
5/9x = 11 - 51
5/9x = -40
5x = -360
x = -72
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
How long is the street?
Use the value 3.14 for 1. Round your answer to the nearest tenth. Do not round any Intermediate steps.
351.7 ft is the length of the street
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
The total distance of the street is the number of times the wheel turns multiplied by its circumference. Thus:
C = πD
L = nπD
L = 35 x 3.14 x 3.2
Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any Intermediate steps
L = 351.7 ft
Hence 351.7 ft is the length of the street
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14 points :) please explain thank you so much!
The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The graph represents the given parameters
On the graph, we have the following endpoints
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
The domain
The definition of the domain implies that the domain of a function is the set of x values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the maximum
Closed circle at (-2, -1)
Open circle at (-5, -2)
Remove the y coordinates
So, we have
Closed circle at (-2)
Open circle at (-5)
Combine the x values
-2 ≤ x < -5
The range
The definition of the range implies that the range of a function is the set of y values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the smaller larger y value of the endpoints)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the x coordinates
So, we have
Open circle at (-2)
Maximum = (1)
Combine the y values
-2 < y < 1
Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
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A metade dos objetos de uma caixa mais a terça parte desses objetos é igual a 25. Quantos objetos há na caixa?
Answer:
Explicação passo-a-passo:
Podemos atribuir a incógnita x ao número de objetos que há na caixa. Assim, teremos as seguintes relações:
Metade dos objetos da caixa = 1/2x
Terça parte dos objetos da caixa = 1/3x
Portanto, o número de objetos que há na caixa será dado resolvendo a equação:
1/2x + 1/3x = 25
3/6x + 2/6x = 25
5/6x = 25
x = 25/(5/6)
x = 25 . (6/5)
x = 150/5
x = 30
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ytzinhawww
ytzinhawww
há 5 minutos
Matemática
Ensino fundamental (básico)
1.Na portaria de um prédio chegaram, certo dia, 65 cartas. Desse total,1/5 foi entregue no 1°andar. Qual é o número de cartas distribuídas nos outros andares? (tem que fazer a conta)
a. 20
b. 35
C. 48
d. 52
2.foram entrevistados 420 candidatos a determinada vaga de um emprego. sabe-se que 5/7 desse número de candidatos foram rejeitados. Então, foram aceitos:
a. 300 candidatos
b. 210 candidatos
C. 380 candidatos
d. 120 candidatos
3.a figura está dividida em cinco partes iguais. a parte pintada representa:
⬜⬜⬜⬜
a. 10%
b. 12%
C. 20%
d. 25%
4.numa caixa 100 bolas, 45 são vermelhas, 20 são azuis, e o restantes são amarelas. em relação ao total a porcentagem de bolas amarelas é:
a. 55/100
b. 25/100
c. 45/100
d. 35/100
5.um dia tem 24 horas, uma hora tem 60 minutos e 1 minuto tem 60 segundos. a fração da hora que corresponde a 35 minutos é:
a. 7/4
b. 7/12
C.35/24
d. 60/35
6.dois terços da população de um município correspondem a 36000 habitantes. pode-se afirmar que esse município tem:
a) 18000 habitantes
b) 36000 habitantes
C) 48000 habitantes
d) 54000 habitantes
7.uma plantação foi feita de modo a ocupar 2/5
da terça parte da área de um sítio, como mostra a figura em relação à área total do sítio, a fraçao que representa a área ocupa por essa plantação é:
⬜⬜
⬜⬜
⬜⬜
⬜⬜
⬜⬜
bem por favor alguém me ajude preciso até amanhã pq é muito importante e se for me ajuda n esquece a conta pq a prof é bem exigente.tchau
68=3(6r-1)-7(1-3r) please help i need directions how not just an answer
Answer:
r=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
68=3(6r−1)−7(1−3r)
68=(3)(6r)+(3)(−1)+(−7)(1)+(−7)(−3r)(Distribute)
68=18r+−3+−7+21r
68=(18r+21r)+(−3+−7)(Combine Like Terms)
68=39r+−10
68=39r−10
Step 2: Flip the equation.
39r−10=68
Step 3: Add 10 to both sides.
39r−10+10=68+10
39r=78
Step 4: Divide both sides by 39.
39r/39=78/39
r=2
i have four identical oranges. how many ways are there for me to divide these oranges into at most three groups? (by definition, a group must have at least one orange.)
Answer:
put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges
Step-by-step explanation:
The function f(x)=x^2 times the graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
The function rule for g(x) is (x₊6)² ₋ 5. According to the given data we apply the translations onto the graph and from the graph we determine the function of g(x).
Given, the function of f(x) = x²
The base graph is moved up or down in the y-axis direction when a graph is vertically translated. Each point on a graph is moved k units up the graph to translate it vertically. Shifting the f (x) k units vertically will allow you to sketch the equation g (x) = f (x) + k.
The graph of g(x) is f(x) translated to 6 units left and down 5 unit.
Draw the translations onto the graph. In the given graph provided, the yellow curve indicates the function g(x).
therefore g(x) = (x₊6)² ₋ 5 is the function from the graph.
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place the following complex number in a two dimensional complex plane and find their absolute value "1+i)
The point (1,1) represents 1+i in the two dimensional complex plane. Absolute value of 1+i = [tex]\sqrt{2}[/tex].
Given the complex number, z = 1+i
The general form of a complex plane is x+iy, where x and y are real numbers.
We can place any complex number into a two-dimensional complex plane with two axes - X and Y.
For z = 1+i, x = 1 and y = 1. So the point (1,1) will represent z = 1+i in the two dimensional complex plane.
The absolute value of a complex number z = x+iy is given by ,
|z| = [tex]\sqrt{x^2+y^2}[/tex]
So for z = 1+i, |z| = [tex]\sqrt{1^2+1^2}=\sqrt{2}[/tex]
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como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes
Answer:
pamachino ala iscola iyo kapito binisimo bambena ilina
Find the value of x.
Answer:that a accute angle
Step-by-step explanation:
I WILL GIVE BRAINIEST TO WHO ANSWERS RIGHT AND MORE POINTS
Answer:
x = 22 y = 113
Step-by-step explanation:
3x-15 = 2x+7
-2x -2x
x-15 = 7
+15 +15
x = 22
180-51 = 129
y+16 = 129
-16 -16
y = 113
Answer:
x = 22
y = 113
Step-by-step explanation:
The angles marked as (2x+7) and (3x-15) are vertical angles, and therefore are equal to each other.
2x + 7 = 3x - 15 simplifying:
7 = x - 15
22 = x
Angles marked as (3x-15) and (y+16) form a linear pair and are therefore supplimetery. Now that we know the value of x, we can set up the following equation.
3(22) - 15 + y + 16 = 180 simplifying:
66 - 15 + y + 16 = 180
66 + y + 16 = 195
y = 113
◄) Which lists contain only irrational
numbers? Select all that apply.
-11.8, -7.3, -9.7, -3, 61.4
√20
I
25
100
50,
21 3 1 2 1
22' 11' 9'
5' 17
I
35, 65 70
I
-
81,√36
I
144,
2/2,5/5,3/3, 6√6,7√7
(
Answer:
the 2 nd and 5 th box contain irrational number
Step-by-step explanation:
1 St and 3 Rd are clearly rational and 4 th can be converted into rational like root 25 is 5.
FIRST PERSON GETS BRAINLIEST
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?
(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)
Another way to write this rule is (x, y) = (x - 8, y + 4)
Which is another way to write this rule?The translation rule is given as:
T–8, 4(x, y).
The above means that
x = x - 8
y = y + 4
Express as a transformation rule
So, we have
(x - 8, y + 4)
Rewrite as:
(x, y) = (x - 8, y + 4)
Hence, another way to write this rule is (x, y) = (x - 8, y + 4)
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If (2x+3y)∝(x+5y) or x∝y, then which of the following is true?
a. x/y = (5k-3/2-k) c. x = y(5k-3/2-k)
b. x:y = (5k-3):2-k d. all are correct
All the given options are correct
How to determine which of the equation is true?The variation expression is given as
(2x + 3y) ∝ (x + 5y)
Rewrite as an equation
So, we have
(2x + 3y) = k(x + 5y)
Remove the brackets
So, we have
2x + 3y = kx + 5ky
Collect the like terms
So, we have
kx - 2x = 3y - 5ky
This gives
x(k - 2) = y(3 - 5k)
Divide by both sides by y(k - 2)
x/y = (5k - 3)/(2 - k) --- option (a)
Multiply both sides by y
x = y(5k - 3)/(2 - k) --- option (b)
Express x/y = (5k - 3)/(2 - k) as ratio
x : y = (5k - 3) : (2 - k) --- option (c)
Hence, all the given options are correct
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if a line passed through (0,0),(1,8),(3,24) and (x,44) what is x?
Answer: x=5.5
Step-by-step explanation:
First you need to find the slope using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. Thankfully, we have (0, 0) and (1, 8) as points, which makes it easy to find that the slope is 8.
Once we have the slope, we divide 44 by 8 to get 5.5
Describe the solution to the system of equations graphed below.
3x+y=-6
9x+3y=-18
27
OA The system has the unique solution (3, 4)
OB. The system has infinitely many solutions of the form y=-3x-6 where x is any real number
OC. The system has no solution
OD. The system has the unique solution (3, 18)
Answer:
A.
The system has infinitely many solutions of the form y = -3x - 6 where x is any real number.
Step-by-step explanation:
g= 4a+4/ 5ca solve for A
The solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
How to solve for in the equation?The equation is given as
g = 4a +4/5
Multiply through the equation by 5
So, we have
5 * (g = 4a +4/5)
Evaluate the products
So, we have
5g = 20a + 4
Subtract 4 from both sides of the equation
So, we have
20a = 5g - 4
Divide through the equation by 20
So, we have
a = 1/20(5g - 4)
Hence, the solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
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Figure 2 shows 4 strips of paper formed from cutting ABCD. Figure 1 below shows a piece of rectangular paper ABCD where AB= (3x - 1) cm and BC= The total perimeter of the 4 strips is 170 cm. D C (b) Hence show that ABCD is a square. 2x+5 B 3x-1 Figure 1 (a) Form an algebraic equation in x and solve it. D 2x 326-1 Figure 2 C 2x75 = (2x + 5) cm. B
Write the slope intercept form of the equation for each line.
Answer: y=-4/5x-1.5
Step-by-step explanation: Both values are negative because your line is angled downwards from left to right and your y-intercept is below the x-intercept line.
Your 'b' or y-int is a little wonky, but I'm confident with what answer I'm handing to you.
PLEASE HELP ILL MARK YOU BRAINLIST