Answer:
28
Step-by-step explanation:
7C2
The 3rd term of 7th row of the Pascals triangle is 21.
We have a Pascal's triangle.
We have to determine the 3rd term of 7th row of this triangle.
What is Pascal's triangle ?A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -
[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]
If we have to find the element or term at position - m in row number - n, than the element will be -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
We have - n = 7 and m = 3
[7] C [2] = [6] C [1] + [6] C [2]
[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]
Hence, the 3rd term of 7th row of the Pascals triangle is 21.
To solve more questions on Pascals Triangle, visit the link below-
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Tom is applying for a visa. He has to pay £1,700 for the visa as well as a 11% charge on the visa price for an on-the-day service. If Tom has 1 year to save, how much money should he save per month to be able to cover his costs? Round your answer to the nearest £10.
Step-by-step explanation:
this is geometric sequence
G1=Go(1+r)^n
G1=1700(1+11%)^1
G1=1700(1+0.1)
G1=1700*0.1
G1=170 per year
G1=170*12 per month
G1=2040
You and your brother collect baseball cards.He has 15 more cards in his collection than you have.Expression Information.
Answer:
x+15
Step-by-step explanation:
X stands for the number of cards the one person represent add 15 to the whatever number of cards you have.
Answer:
mep
Step-by-step explanation:
mep
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
Answer:
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.
When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?
Answer: 3 feet tall
Step-by-step explanation:
50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.
If the point (−1,3) is translated according to the rule (x,y)→(x+4,y−2), and then reflected across the x-axis, what are the coordinates of the final image?
A. (3,−1)
B. (3,1)
C. (−1,3)
D. (-3. -1)
btw the answer is A, because i took the assignment on gizmos this is just for people who need the answer :>
Answer:
hi
Step-by-step explanation:
rfshs hmm jtutq JK jehewyywgu
Answer:
<3
Explanation:
I guess me need it in future
How many solutions does the system have? { y = − 7 x + 8 y = − 7 x − 8 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−7x+8 y=−7x−8
The system of equations y =−7x + 8 and y = −7x − 8 have no solution
How many solutions does the system have?From the question, we have the following parameters that can be used in our computation:
y =−7x + 8
y = −7x − 8
Subtracting the two equations
We have
y - y = -7x + 7x + 8 + 8
When the like terms are evaluated, we have
0 = 16
The above equation is false
This means that the equation has no solution
Read more about equations at
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Solve for a 4/a+4= -1/a+9
Answer:
a = -8
Step-by-step explanation:
4/a + 4 = -1/a + 9
-1(a + 4) = 4(a + 9)
-1a - 4 = 4a + 36
-5a - 4 = 36
-5a = 40
a = -8
How do I describe end behavior in a polynomial function
Answer:
brainliest please
Step-by-step explanation:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
Amit solved the equation 5/12 = -x/420 for x using the steps shown below. What is Amit's error?
5/12 = -x/420
5/12(420) = -x/420(420)
x = 175
A: Amit should have multiplied both sides by 5/12
B: Amit should have multiplied both sides by 12/5
C: The product of 5/12 and 420 is not equal to 175
D: The product of 5/12 and -420 should have been the value of x
Answer:
D: The product of 5/12 and -420 should have been the value of x
Step-by-step explanation:
Took the test
Check Your Understanding- Question 3 of 5
A baseball has a radius of about 1.44 inches. What is its approximate volume?
A. 100 in
B. 123 in
C. 8.7 in 3
D. 12.5 in 3
HINT
SUBMIT
Answer:
D: 12.51 is the correct answer
Answer:
[tex]V=12.5\,\,in^3[/tex] (answer D)
Step-by-step explanation:
Recall that the volume (V) of a sphere in temrs of its radius (R) is given by the formula:
[tex]V=\frac{4}{3} \pi R^3[/tex]
Therefore, in our case we have:
[tex]V=\frac{4}{3} \pi 1.44^3=12.5\,\,in^3[/tex]
Solve the system of linear equations by graphing.
y = x-7
y = -2x + 5
Answer:
4
Step-by-step explanation:
Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle school?
68
399
509
908
What kind of triangle is 15,16,21
Answer:
here is my answer is took me alot of time
Step-by-step explanation:
The calculator solves the triangle specified by three of its properties. Each triangle has six main characteristics: three sides a, b, c, and three angles (α, β, γ). The classic trigonometry problem is to specify three of these six characteristics and find the other three. Of course, our calculator solves triangles from any combinations of main and derived properties such as area, perimeter, heights, medians, etc. Usually by the length of three sides (SSS) or side-angle-side or angle-side-angle.
How does this triangle calculator solve a triangle?
The calculation of the general triangle has two phases:
expert phase - which is different for different tasks. From the entered data, the calculator tries to calculate the sizes of three sides of the triangle. He gradually applies the knowledge base to the entered data, which is represented in particular by the relationships between individual parameters of the triangle. These are successively applied and combined, and the parameters of the triangle calculate. Calculator iterate until the triangle has calculated all three sides.
For example, from the given area of the triangle and the corresponding side, the appropriate height is calculated. From the known height and angle, the adjacent side, etc., can be calculated. They use knowledge, e.g., formulas (relations) Pythagorean theorem, Sine theorem, Cosine theorem, Heron's formula, solving equations and systems of equations.
The second stage is the calculation of the properties of the triangle from the known lengths of its three sides.
Examples of how to enter a triangle:
All the sides of the triangle are different and do not satisfy Pythagoras' theorem. Then the triangle is a scalene triangle.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The dimensions of the triangle are 15, 16, and 21.
Check whether it satisfies the Pythagoras theorem or not. Then we have
H² = P² + B²
21² = 16² + 15²
441 = 256 + 225
441 ≠ 481
Every one of the sides of the triangle is unique and doesn't fulfill Pythagoras' hypothesis. Then the triangle is a scalene triangle.
More about the triangle link is given below.
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Find Principal when Time = 5 years, Interest - $ 500; Rate = 5%
Answer:
P = $2,000
Step-by-step explanation:
Interest = Principal x Rate x Time
500 = P(.05)(5)
500 = .25P
P = 500/.25
P = 2000
Find the value of x.
125°= (5x + 30)
Answer: the answear is 19
Step-by-step explanation:
first you subtract 30 from the 30 and the 125 which takes out the 30 and makes the 125, 95
second you divide 5 by 5 and cross it out
then you divide 95 by 5 and get 19 which is your answer
a quadrilateral with two sets of parallel sides
Answer:
square or rectangle
Step-by-step explanation:
A $60 sweater is on sale for 25% off. What is the sale price of the sweater?
Answer:
$45
Step-by-step explanation:
60/4=15 15x3(75%)=45
your sweater is $45 with the discount
simplify expressions for 3c-4m and m=5 and c=4
Answer:
12-20=-8
Step-by-step explanation:
Multiply 3 by c which is 4=12 multiply -4 by m which is 5 which equals 20
Pls give brainliest
A dance team decided to sell fruit snacks to raise money for an upcoming competition. The dancers charged $3.00 for each fruit snack they sold. In 4 days, they sold 24 packs of fruit snacks. How much money could the team earn for seven days at that same rate?
Answer:
126 dollars
Step-by-step explanation:
(i'm gonna be doing my work here, dont mind me LOL)
okay, so they sold 24 packs in 4 days. divide 24 by 4 and you get 6. multiply 6 by 3 and you get 18.
now, multiply 18 by seven and you get 126.
bam!! the dance team could earn 126$ in 7 days ^__^ hope you get an A!
Answer:
$126
Step-by-step explanation:
Let x = packs sold in 7 days
Set up a proportion. days/days = packs/packs
4/7 = 24/x
4x = 24(7) = 42 packs sold in 7 days
At $3/pack, the amount earned in 7 days = 3(42) = $126
PLEASE HELP!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?
Answer:
16 I think.
Step-by-step explanation:
if Marcus is 8 . Kimi is older. you do 8 times 2 . which is 16 .
The x-axis is the vertical axis.
True
False
Answer:
true truw
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
the x-axis is the horizontal axis
2 × (8 + 16 ÷ 8) − 3
2*(8+16/8)-3
= 2*(8+2)-3
2*10-3
20-3
17
select all the relationships that demonstrate a positive association between variables. (3 answers!) Group of answer choices Number of people in a grocery check-out line and how long you have to wait to check out Length of time you have walked and distance you have traveled Pounds of cherries you buy and amount of money you spend on cherries Speed of a train and the amount of time it takes for the train to get to its destination Outside temperature and cost to heat a home
Answer:
The following demonstrate a positive association between the variables:
O. Pounds of cherries you buy and amount of money you spend on cherries
O. Number of people in a grocery check-out line and how long you have to wait to check out
O. Speed of a train and the amount of time it takes for the train to get to its destination
Step-by-step explanation:
HELPP PLEASE !!!!!!
Answer:
-9
Step-by-step explanation:
The in the first expression, y is to the -9'th degree, which means n is -9.
(If there are numbers of similar term multiplied together, the exponents are to be added.)
find the volume of a cylinder with radius 3cm and height 7cm
Answer:
197.92
Step-by-step explanation:
3.14*3*2*7=197.92
Answer:
197.92 cu cm to the nearest hundredth
Step-by-step explanation:
Volume = area of the base time the height.
Your base is a circle, so A = [tex]\pi r^{2}[/tex] = [tex]\pi 3^{2}[/tex] = 9π
Vol = 9π(7) = 63π ≅ 197.92 cu cm to the nearest hundredth
If a ball is thrown straight up into the air with an initial velocity of 100 ft/s, it height in feet after t second is given by y = 100t – 16.
a.) Find the average velocity for the time period begining when t = 2 and lasting for the given amount of time.
0.5 seconds
(ii) 0.1 seconds.
(iii) 0.01 seconds.
b.) Based on the above results, guess what the instantaneous velocity of the ball is when t = 2 seconds.
Answer:
Answer:
11 0.1 seconds
Step-by-step explanation:
Grace and her friend are doing some back to school shopping , Grace buys 4 binders and notebooks for 26.50 totalHer friend spends a total of $21.00 on 3 binders and 6 notebooks
Answer:
What is the question asking to answer?
Step-by-step explanation:
Answer:
$19:50
Step-by-step explanation:
Write a system of equations to represent the problem. Let x represent the cost of a binder, and let y represent the cost of a notebook.
Grace buys 4 binders and 7 notebooks for $26.50 total, so the equation 4x+7y=26.50 represents how much Grace spends.
Grace's friend buys 3 binders and 6 notebooks for $21.00 total, so the equation 3x+6y=21 represents how much her friend spends.
You can use this system of equations to find how much money Grace and her friend spend on notebooks:
4x+7y=26.50
3x+6y=21
Next, find how much Grace and her friend spent on notebooks. Start by finding the cost of one notebook. Use elimination to solve for y. .
3(4x+7y)=3(26.50)
–
12x+21y = 79.50
–
4(3x+6y)=
–
4(21)
–
12x–24y =
–
84
–
3y =
–
4.50
y = 1.50
Each notebook costs $1.50. Grace and her friend buy a total of 13 notebooks, so multiply to find how much money they spend on notebooks.
13$1.50=$19.50
Grace and her friend spend $19.50 total on notebooks.
Help me please .
I need to show full work to the teacher ?
How to solve it
if anyone knows the answer would you mind showing me
Gabriel contributes 19% of the total cost of bis health care coverage. He pays $38.80 every week towards this contribution. How much does his employer contribute to his health care coverage for the year?
Around $160.
Hope this helps a little bit.
