Recal the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
Then
[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]
We get the q⁴p¹⁷ term when k = 17, and its coefficient would be
[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]
Solve 6(x - 3) + 7 = -5.
The answer will be:- x = 1
Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.
Answer:
Look at the photo I have sent(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?
Answer:
$1,104
Step-by-step explanation:
If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.
=================================================
Solution:[tex] \rightarrow [/tex] 1,200 x (100% - 8%)
[tex] \rightarrow [/tex] = 1,200 x 0.92
[tex] \rightarrow [/tex] = 1,104
I NEED HELP ON NUMBER 2 PLEASEEEEE
Answer:
523.5miles
Step-by-step explanation:
Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.
65x3.5=227.5mi
74x4=296mi
Add the number of miles together.
227.5+296=523.5miles
Hope this helps :)
9. Mr. Glover wrote the problem, "Find 16% of 50" on the whiteboard and asked students to
create a proportion or equation to solve the problem. Circle the name of anyone who made a true
statement.
Tur
Tur
DOVAN
The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.
The percentage of a given number is the fraction of that number required for consideration.
To determine the required fraction of the given number in the question, express the given statement in mathematical terms.
So that:
16% of 50 = [tex]\frac{16}{100}[/tex] x 50
= 0.16 * 50
= 8
Thus 16% of 50 is 8.
Considering the steps required to solve the question and each statement of students, then Maxine is correct.
NB: The required image to the statement is attached to this answer.
For more on percentage of numbers, visit: https://brainly.com/question/11570843
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
I didn't get them all right. Can someone help please?
Answer:
[tex]\sqrt{2.56}[/tex]
[tex]6.828...[/tex]
[tex]1.75[/tex]
[tex]14/3[/tex]
[tex]-40[/tex]
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio.
[tex]\sqrt{17} \times \sqrt{17}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?
Answer: Tony has 70
kaitlin has 77 david has 79
Step-by-step explanation:
i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped
Please answer this. I need and will give
Find the percent of each number mentally.
A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?
A. $2.63
B. $28.95
C.$41.63
D. $45.75
The total cost of the video controller is $41.63.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A video controller cost $39.
If a 6.75% sales tax is added,
that means,
6.75% of 39,
= 6.75 x 39 / 100
= 2.6325 taxed amount.
The total cost = 39 + 2.6325 = 41.63.
Therefore, $41.63 is the total cost.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answer:
option a as last digit even a d come in 3 table
Brainliest)
There are 12000 fish in a lake. Because of pollution, the number of fish halves every year. What will be the population of fish after 5 years?
help
Answer:
375 fishes
Step-by-step explanation:
12000 divided by 2 is 6000 1st year
6000 divided by 2 is 3000 2nd year
3000 divided by 2 is 1500 3rd year
1500 divided by 2 is 750 4th year
750 divided by 2 is 375 5th year
Find the unit rate to 30 1/2 and 1 1/4
Answer:
24.4
Step-by-step explanation:
yw
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
No of student can be found using x+y=total
X+y=total
Concept
Step-by-step explanation:
Let vans be x
Let bas be y
14x+6y=564
4x+6y=414
With that you can get the answer am sorry I couldn't give the appropriate answer I only showed the way am in a trip that's why
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.
To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
Learn more about z-score here:
https://brainly.com/question/6096474
I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.
Answer:
38+9.49x < or = 100
Step-by-step explanation:
What is the midpoint of KL?
Answer:
Find the midpoint between the two points.
(4,4),(-1,2)
Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet
Answer:
A.900 square feet
Step-by-step explanation:
s×s=A
30×30=900
solve pls brainliest
Answer:
neither, neither, terminating, repeating
Subtract. Simplify your answer and write it as a mixed number.
9 3/7 - 5 2/21
Answer:4 1/3
Step-by-step explanation:
help asap for brainlist
Answer:
l=A/W
Step-by-step explanation:
Example:
Area = 500 m^2
w= 10m
L= Area/ W
L=500/10
L=50
To check this
A= L*W
500=50*10
What is identity matrix.
Answer:
a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.
GEOMETRY PROOF!!!! please do fast as possible
hi,please quit school instead
Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places
Answer: 8.22
Step-by-step explanation:
three are 6 blades on each windmill. how many total blades are on 7 windmills? use a fives fact to solve
Answer: 42 I think
Step-by-step explanation:
I did 6 times 7
Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.
pls help im tired.
Answer:
My answer is Myra: 24.8s Byron: 26.3s so byron is the winner
Step-by-step explanation:
I did it on my track and field day assignment and got it right
ILL GIVE BRAINLIST ! Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
0
1
2
3
4
Number of tickets
16
12
8
4
0
What is the y-intercept of the function shown in the table, and what does it
represent?
A. The y-intercept is (4,0). Jamie uses 4 tickets per ride.
OB. The y-intercept is. (0,16). Jamie uses 16 tickets per ride.
C. The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
O D. The y-intercept is (4,0), Jamie goes on 4 rides.
Answer:
The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
Step-by-step explanation:
What is the relationship between these two vectors?
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
