Answers
Sorry if it’s wrong
Answer:
134
Step-by-step explanation:
Related Questions
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
Answers
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]
Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."
Answers
The resulting function is presented in the image attached below.
In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:
[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]
[tex]f'(x) = - f(x)[/tex] (1)
Which means that the reflected function is equal to the original function multiplied by -1.
Now, we proceed to represent the reflected function graphically.
We kindly invite to check this question on reflections: https://brainly.com/question/15487308
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answers
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
Graph the line with slope 3/4 passing through the point (1,5). 20 points!
Answers
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
since we know the slope is 3/4, we have y = 3/4x + b. next plug in the point given. 5= 3/4(1) + b, simplify the equation to get 17/4=b, and now we have our equation: y = 3/4x + 17/4
one half of the sum of number and 10
Answers
Sum of x and 10 is (x+10)
Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]
What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answers
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Which sign makes the sentence true?
3/2_- 3/2
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>
Answers
As any positive is greater than a negative number
38
21
21
X
What is the value of X
Answers
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
What is the answer to number 4 ?
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answers
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
Which inequality is represented by the graph?
Answers
Answer:
y < -3/2x + 1
Step-by-step explanation:
Points (-2,4) and (2, -2) are on the graph.
The graph crosses the y-axis at 1 so the y-intercept is 1
Slope = (change in the y-value)/(change in the x-value.
Slope = (-2 - 4)/ [2 - (- 2)]
Slope = -6/4
Slope = -3/2
The equation of the line : y = -3/2x + 1
Now the graph is dotted and it is shaded down.
Therefore the inequality is y < -3/2x + 1
Imma need a really quick answer im on a real tight clock
Answers
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
question number fifteen
Answers
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Answers
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
What number combination equals -125
Answers
Answer:
-25(5)
Step-by-step explanation:
-25 ×5 = -125
Which system of inequalities has no solution ? I’m not sure
Answers
I think the answer might be c
The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2
Answers
Answer:
H is the height
Step-by-step explanation:
A= Area
B= Base
1/2= 0.5
9.) During the soccer season, Finn scored goals on 8% of the shots he
took. If he scored 40 goals, how many shots did he take?
1 point
500 shots
50 shots
320 shots
32 shots
Answers
Answer:
500 shots
Step-by-step explanation:
the question is 8% of what number is 40?
we can use this proportion: is/of = %/100
let 'g' = number of goals
40/g = 8/100
cross-multiply to get:
8x = 4000
x = 500
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
Answers
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
can you please help me
Answers
Answer:
i think it's the 6th option
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answers
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answers
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?
Answers
Answer:
$169.33
Step-by-step explanation:
Each of the friends spent ...
$14.95 +6.99 +2.25 = $24.19
The seven friends together spent ...
7($24.19) = $169.33
If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?
Answers
6 sided die, and you have to roll a one
It’s a 1/6 chance
1/6 out of 30 is 5
Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?
Answers
Answer:
48 books
Step-by-step explanation:
you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,
Answers
Answer:
going up by 2 numbers
Step-by-step explanation:
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answers
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
Answers
Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5
Answers
Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answers
Answer:
[tex]⟼3x {}^{2} + 12 + y[/tex]
Step-by-step explanation:
[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]
[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x + y[/tex]
Hello there!
Combine Like Terms:
2x-6y+3x^2+7y-14x
-12x+y+3x^2
3x^2-12x+y
Hope this helps. you!
~Just a determined gal
#CarryOnLearning
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[tex]MysteriousNature :)[/tex]
