Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.
Find the slope, or rate of change, from the following tables:
Please help me
Consider a car rental for $42, plus $0.22 per mile driven. Which statements are correct?
A) This situation is modeled by a linear function.
B) If the car is driven 200 miles, the rental will cost $86.
C) If the car is driven 500 miles, the rental will cost $142.
D) This situation can be modeled by the function f(x) = 0.22x + 42.
E) This situation can be modeled by the function f(x) = (0.22)X + 42.
Answer:
a, b and d
Step-by-step explanation:
200 miles x 0.22 = 44$ + 42$= 86$
the equation would be f(x)= 0.22x + 42.
and its linear.
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
If you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on pink?
Grant has 6 red socks, 4 blue socks, 8
green socks, and 2 yellow socks in a
drawer. He will randomly select two socks
from the drawer one at a time without
replacement. What is the probability that
Grant will select a blue sock and then a
green sock?
F
25
50
95
95
The probability that Grant will select a blue sock and then a green sock = [tex]\frac{8}{95}[/tex].
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
The probability that Grant will select a blue sock and a green sock =
= Probability of choosing a blue sock * Probability of choosing a green sock out of the remaining socks
= [tex]\frac{Number\ of\ blue\ socks}{Total\ number\ of\ socks} * \frac{Number\ of\ green\ socks\ out\ of\ remaining\ socks }{Total\ number\ of\ remaining\ socks}[/tex]
= [tex]\frac{4}{20} * \frac{8}{19} = \frac{8}{95}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
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Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other
Answer:
Joe Mama :))))))))))))))))))))))
Step-by-step explanation:
The price of an item has dropped to $98 today Yesterday it was $140. Find the percentage decrease
Answer:
30%
Step-by-step explanation:
30% of 140 is 98
christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wide. How far did christen run?
Answer:
210 m
Step-by-step explanation:
Perimeter is the distance around the outside of a two-dimensional shape.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
Christen ran around the soccer field, so she ran around the perimeter.
We can find the perimeter by adding all of the side lengths.
Perimeter=60 m+45 m+60 m+45 m
Christen ran 210m.
What shape is this figure?
A cylinder.
cylinder
sphere
cone
pyramid
Answer:
Cylinder
Step-by-step explanation:
The shape of this figure is cylinder.
Answer:
a cylinder
Step-by-step explanation:
tis not sphere, cone, or pyramid :)
how far apart are the cities ??
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?
Answer:
$2.02
Step-by-step explanation:
If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.
3.10 + 4.88 = 7.98
Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.
$10 - $7.98 = $2.02
Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.
A sofa regularly sells for $840. The sales price is$714. Find the percent decrease of the sale price from the regular price
Answer:
15%
Step-by-step explanation:
Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress
Answer:
2 11/12
Step-by-step explanation:
(1/3)×(35/4=35/12=2 11/12 yards
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
A recipe that serves 20 people uses ⅝ cup of water. How many cups of water are needed to serve 70 people?
Answer:
43.75 or simplified as 43 3/4 which is a mixed number
Step-by-step explanation:
How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4
what does 2x+2y=7 equal to
what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
explain why we need to always balance algebraic equations.
please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
4.0 in³
10.5 in³
12.0 in³
23.1 in³
a cube has edges measuring 5 inches. Find the surface area of the cube.
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Answer:
[tex]volume \: = \: \pi \times r {}^{2} \times length(height) \\ = 3.14 \times 2f \times 17ft \\ = 106.76ft {}^{3} [/tex]
Answer:
V = 106.76ft
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2hCalculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrhCalculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)quick help plzz!!!!!!!
HELP ASAPPP Pls
———————-
In a state, one town is 250 feet above sea level and another town is 30 feet below sea level. what is the difference in elevations?
(NO LINKS OR ILL REPORT)
Answer:
Im not so good at math but if you need help I suggest math way.... Never fails me anyway
Step-by-step explanation:
Oops sorry no links;) :-P
Is −7 a solution of −9x > 45?
Answer:
Yeah
[tex] - 9( - 7) = 63 \\ 63 > 45 \\ thus \: - 7 \: can \: be \: one \: of \: the \: solutions[/tex]
What fraction of the large square is the purple square?
Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square
Step-by-step explanation:
Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles
Answer:
6:9 or (2:3)
Step-by-step explanation:
A ratio is a term that gives comparison of values. It helps to determine
how much of a particular thing that is compare to other thing.
Given:
numbers of blue marbles= 6
numbers of red marbles= 9
Hence, ratios that represent the numbers of blue marbles to red = 6:9
We can reduce it using factor of 3, hence the ratio becomes(2:3)
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
is/are true?
I. The mean is 5.
II. The median is 4.
III. The mode is 2.
Answer:
III. The mode is 2
Step-by-step explanation:
Mean: (8+2+9+4+2+7+8+0+4+1)/10 = 45/10 = 4.5
Median: (2+7)/2 = 9/2 = 4.5
Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)
The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.