Answer:
d
Step-by-step explanation:
5 =5v^+^
Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1
We will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).
And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.
Thus the expansion can be written as
(a + b)² = 1a² + 2ab + 1b²
which we normally write as
(a + b)² = a² + 2ab + b² (1)
According to the question we have been the expression as
(22³ + 3y²)² which is equal to the above expression where,
a = 22³ and b = 3y²
Putting the required values in equation (1) we get
(22³ + 3y²)² = (22³)² + 2(22³)(3y²) + (3y²)²
= 22⁶ + 63888y² + 9y⁴
Hence we will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
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HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
I think it's 1,920
Step-by-step explanation:
Multiply 320 × 6 which would give you 1,920!
HELP I HAVE 5 MINUTES
Answer:
24
Step-by-step explanation:
4x6
what is the maximum value of the derivative of f(x)= 3x^2+x^3
Answer:
Maximum Value: ∞
General Formulas and Concepts:
Calculus
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² + x³
Step 2: Find Derivative
Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹Simplify: f'(x) = 6x + 3x²Step 3: Analyze
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output y infinitely increases.
how bout this 5+54+69= What
Answer:
128
Step-by-step explanation:
hoped that helped
Please help me with 3 and 4
Answer:
Third choice, likely
Second choice, equally likely
Step-by-step explanation:
There's 14 red ones and 3 green ones, so there's 17 marbles in total. !4 red ones so the probability is 14/17, which is a very high chance so yea
It's not certain because there's still 3 marbles that are not red, so while the chance of it not being red is low, it's not none so u can't choose certain
There's only 2 sides to a coin, so the chance of getting either heads or tails is 1/2. So there's an equal chance
I need help it is a multiple Choice question
Answer:
6 m
.006 km
6,000 mm
Step-by-step explanation:
Let's look at some conversions real quick:
1 cm --> 10 mm (multiply cm by 10)
1 cm --> 0.00001 km (divide cm by 100000)
1cm --> 0.01 m (divide cm by 100)
Now that this is laid out, lets do these conversions for 600 cm.
Meters (m) = 600/100 = 6 meters
Kilometers (km) = 600/100000 = .006km
Millimeters (mm) = 600 * 10 = 6,000 mm
I hope this helps!!
- Kay :)
how do i evaluate l18l
Answer:
18
Step-by-step explanation:
It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.
Answer: the answer is 1^19 (one to the power of 19)
Step-by-step explanation:
l^18 multiplied by l^1 = l^(18 + 1) = l^19
(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)
15 POINTS FOR THIS MATH QUESTION!
A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?
Answer:
798.15
Step-by-step explanation:
5321 x .15 = 798.15
(I think)
Answer:
798.15
Step-by-step explanation:
t= u+v/2 for u
•u= 2t+v
•u= 2t/v
•u= 2(t-v)
•u= 2t-v
Answer:
u=2t-v
Step-by-step explanation:
t=(u+v)÷2 |×2
2t=u+v
-u=v-2t |:(-1)
u=-v+2t
u=2t-v
What is the quotient?
Answer:
just post them all in one question instead of a ton of different questions. it's annoying.
Step-by-step explanation:
complete the table and then find the function rule. Remember to put in the y=mx+b form
Answer:
1. 81 2. -20 3. 168 4. -24
Step-by-step explanation:
I hope this is right :)
CAN ANYONE HELP?! please
Bike sprockets and chain.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer: 3:1
Step-by-step explanation:
From the question, we are informed that a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket.
We are further told that the bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket.
Based on the explanation given in the question, the gear ratio for the bike would be the ratio of 36 to 12. This will be:
= 36:12
Since 12 is a common factor. It can be further reduced to 3:1.
Therefore, the gear ratio is 3:1
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
That's the answer
evaluate v(x) = 14 - 3x when x = -3,0, and 4.
Answer:
v(-3)=23
v(0)=14
v(4)=2
Step-by-step explanation:
What is the value of x in the solution to this system of equations?
4x−7y=105
y=−3x+10
Enter your answer in the box.
Answer:
Y=7y=105
Step-by-step explanation:
Answer:
x = 7
y= -11
Step-by-step explanation:
U= {1,2...,10}
A= {2,3,5,7}
B= {2,4,5,7}
D= {1,2,5,7}
Find:
1. A U B U D
2. A n B n D
Answer:
1) {5,7}
2) {1,2,5,7}
Step-by-step explanation:
1) A union B union C
means you take common contents in all A,B,C
2) A and B and C
means you take all the contents of all A,B,C and combine
Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?
Answer:
6hours
Step-by-step explanation
2 2/5 / 1/5 = 12 or 2.4 / .2 = 12
1/2 * 12 = 6
what is the slope between (4,-17), (-20,-1)?
What is the surface area of the cylinder with height g in and radius 4 in? Round your
answer to the nearest thousandth.
Answer:
if you want ans area of cylider is 2πrh+2πr2
Step-by-step explanation:
need thanks and make me brainiest if it helps you
7x+8(x+1/4)=3(6x-90-8
Answer:
exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3
Step-by-step explanation:
Answer:
First result: X = 248/3 or 82.67 Second result: X = 260/3 or 86.57
Step-by-step explanation:
1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)
7x + 8x + 2 = 18x - 270 - 24
15x + 2 - 2 = 18x - 246 - 2
15x - 18x = 18x - 18x -248
-3x = 248 --> -3x/3 = 248/3
X = 248/3 or X = 82.67
2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8
7x + 8x + 2 = 18x - 270 - 8
15x + 2 - 2 = 18x - 262 - 2
15x - 18x = 18x -18x - 260
-3x = 260 --> -3x/3 = 260/3
X = 260/3 or X = 86.67
Sorry if none of these are the answer!
can someone help me with these two please
Answer:
1) y=1/2x+4 and y=-2x-4
2) y-9 = -2(x+7)
Step-by-step explanation:
1) Perpendicular lines must have reciprocal slopes. So, the sign must be switched and the numerator and denominator must be switched.
2) Point-slope form is [tex]y-y_{1} = m(x-x_{1})[/tex]
So plug the slope and point in.
y - 9 = -2 (x - (-7))
y-9=-2(x+7)
Calculate the pressure if the area is
10cm² and the force is 420N
Answer:
p=F/A
p=420/10
P=42
Step-by-step explanation:
hope this helps u
Can someone please help me with proofs
3) Triangle AED is congruent to triangle CFD (SAS)
PLEASE HELP ASAP
during the first home game, the eagle's soccer team had a total of 90 fans. by the second game, this number increased to 150 fans. What was the percent increase in attendance between the first and second games of the season?
A)55%
B)66.7%
C72%
D75.5%
Answer:
The answer is A.
Step-by-step explanation:
I hope that help's??
Help me out it’s for geometry thank you
Answer:
7
Step-by-step explanation:
11x-2 = 75
+2. +2
---------------
11x = 77
/11. /11
What decimal fraction is 7 hens out of 21 hens?
Answer:
7 is 1/3 of 21 hens
Step-by-step explanation:
7/21 = 3
Answer:
7/21 and simplifies, its 1/3
Step-by-step explanation:
Nathen packs 25 boxes in 2 hours. How many boxes can he pack in his 8 hour shift?
How many portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds?
Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
Here,
A boneless roast weighing = 28 pounds
Each portion = 8 3/4 ounces
We have to find the number of portion.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now,
Since, 1 pound = 16 ounces
Hence, 28 pound = 28 x 16 = 448
So, Number of portions = 448 ÷ 8 ¾ = 448 ÷ 35/4 = 51 7/35
Therefore, Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
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Tammy made a recipe that called for 3/4 teaspoon of salt. If the recipe is cut in half, how much salt is needed?
Answer:
answer is A your welcome
Answer:
If the recipe is cut in half, 3/8 teaspoon of salt is needed.
Step-by-step explanation:
Since the recipe is cut in half, we need to find 1/2 of 3/4. This means we need to multiply 1/2 times 3/4. For the numerator, 1 times 3 equals 3. For the denominator, 2 times 4 equals 8. The fraction is 3/8.