Answer:
838.7725
Step-by-step explanation:
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
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]
I got 8 green crayons for the a part just confused for the b part
Answer:
Just apply the same method to part B
x:24
5:8
x3 x3
15:24
Answer:
8
7
Step-by-step explanation:
24 purple
green : purple = 1 : 3
g / p = 1/3
g / 24 = 1/3
g = 24/3
g = 8
now abbi put x green crayons into box
now green : purple = 5 : 8
(8 + x) / 24 = 5/8
8 + x = 5/8 * 24
8 + x = 5 * 3
8 + x = 15
x = 15 - 8
x = 7
Ms. Tyson has a part time job selling cars. She earns a commission of 0.6% on all her sales. If her sales for last week was $281,634 how much was her commission check?
Based on the information given her commission check is $1,689.8.
Using this formula
Commission check=Commission earned× Sales
Where:
Commission earned=0.6% or 0.006
Sales=$281,634
Let plug in the formula
Commission check= 0.006×$281,634
Commission check=$1,689.8
Inconclusion her commission check is $1,689.8.
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Which graph represents y as a function of x?
Answer:
Bottom left.
Step-by-step explanation:
In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.
In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.
Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.
Answer plsss? Much appreciated if done so
Answer:
Step-by-step explanation:
[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{12e^{5}}{3e^{3}}=\dfrac{12}{3}*e^{5-3}\\\\\\=4e^{2}[/tex]
Answer:
4e^2
Step-by-step explanation:
12 e^5
-----------
3 e^3
Divide the constants
12/3 = 4
We know that dividing exponents with the same base means subtracting the exponents
e^5 / e^3 = e^(5-3) = e^2
4e^2
30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.
Which spring has the largest spring constant?
Ο Α
O B
O C
O D
Answer:
C is my answer
You cam correct me if im wrong in the comments
One match releases approximately 1,100 joules of heat energy when it is lit. If 1 joule equals 0.239 calories , how many of these matches must be lit to produce 2, 100cg calories of heat energy ?
If 1 match releases 1100 joules of heat energy and we know that 1 joule = 0.239 calories. This means that 1 match releases 1100 * 0.239 calories
1 match releases 262.9 calories.
Again, if 1 match produces 262.9 calories, then
1 match = 262.9 calories
x match = 2100 calories
if we cross multiply, we have
1 match * 2100 calories = x match * 262.9 calories
x match = 2100/262.9
x match = 7.987 matches
Therefore, approximately 8 matches are needed
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When can you write ratios as fractions?
A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?
The graph that models the relationship between the factory production and the time is the graph in option D
The number of bolts produced within four hours is 3200
The rate of production is the ratio of the change in the number of bolts produced to the the change in time
Change in the number of bolts produced, ∆y = 3200 bolts
Change in time, ∆t = 4 hours
Rate of change = ∆y / ∆t
Rate of change = 3200/4
Rate of change = 800 bolts per hour
The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour
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Distribution property of-6(9-9n)
Answer:
you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive
Hope this helped!
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
[tex]x=\frac{27}4=6.75[/tex]
Step-by-step explanation:
The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.
[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex] Replacing the values and cross-multiplying we get:
[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]
Answer:
6.75
Step-by-step explanation:
the answer is 6.75
so x = 6.75
Help is very much appreciated thank you!!!
Answer:
2 <= x < 8
Step-by-step explanation:
2 is less than or equal to x and the symbol for that is <=
the least number should also be on the left side
8 is greater than x so the symbol is <
8 is the biggest number and goes on the right
lacie is making bracelets. if each has 11 beads, and each bead has 2 colors, red and green, how many different bracelets can lacie make if the bracelet can be rotated without losing its uniqueness but cant be flipped
Answer:24
Step-by-step explanation:
Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answer:
The first, third, and fourth answers are correct!
8. Expand, then simplify: (2 Points) (2a – 3) (a2 + 3a - 5)
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
5(a-b) if a=-4 and b=-2
5(a-b) if a=-4 and b=-2
5(-4--2)
5(-4+2)
5(-2)
-10
Answer: -10
Answer:
The expression equals -10.
Step-by-step explanation:
First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.
Graph the linear function w(x) = 3/5x + 2
Answer:
Coordinates or points would be (0,2), (1,2.6) (2,3.2) (3,3.8)
Step-by-step explanation:
Formula
w(x) = 3/5x +2 in each coordinate I have a x so for example 3.
I would rewrite this as 3/5(3) + 2
w(x) = 3/5x +2
w(3) = 3/5(3) + 2
y = 1.8 + 2
y = 3.8
Consider Brainiest
paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?
Answer: $459 each month
Step-by-step explanation:
Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.
In order to find how much each month's payment would be you divide the loan by 48.
22,032 ÷ 48 = 459
Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.
The triangle and the rectangle below have the same area.
6 cm
wcm
6 cm
5cm
Calculate the value of w.
Show your working.
I thought it was 10 as triangle do base x height divided by 2
Answer:
look at the photo...........................need help with both questions please
Answer:
vertical angle are congruent
because BD and CE intersect and intersecting lines make vertical angle
Step-by-step explanation:
If DEF=GJH, find each missing measure
a) DF =
d) F =
b) JH =
|||
e) m&G =
c) GJ =
f) m =
I need help it’s due in 20 minutes:(
Congruent triangles have equal corresponding sides and angles.
The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]The given parameters are:
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]
[tex]\mathbf{EF = 14m}[/tex]
[tex]\mathbf{D E = 19m}[/tex]
[tex]\mathbf{GH = 16m}[/tex]
[tex]\mathbf{\angle D = 34^o}[/tex]
[tex]\mathbf{\angle H = 105^o}[/tex]
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.
So, we have:
[tex]\mathbf{DF = GH}[/tex]
This gives
[tex]\mathbf{DF = 16m}[/tex]
Also, we have:
[tex]\mathbf{JH = EF}[/tex]
This gives
[tex]\mathbf{JH = 14m}[/tex]
Also, we have:
[tex]\mathbf{GJ = DE}[/tex]
This gives
[tex]\mathbf{GJ = 19m}[/tex]
The following angles are also congruent
[tex]\mathbf{\angle F = \angle H}[/tex]
This gives
[tex]\mathbf{\angle F = 105^o}[/tex]
Also, we have:
[tex]\mathbf{\angle G = \angle D}[/tex]
This gives
[tex]\mathbf{\angle G = 34^o}[/tex]
The measure of angle J is then calculated using
[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]
This gives
[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]
[tex]\mathbf{\angle J + 139= 180^o}[/tex]
Subtract 139 from both sides
[tex]\mathbf{\angle J = 41^o}[/tex]
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Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
x = 9
Step-by-step explanation:
Exterior Angle property of a triangle:
The Exterior Angle property states that:
"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."
In the given triangle RST:
∠VRS is the exterior angle, and
∠RTS and ∠RST are the interior opposite angles.
By using the above listed property,
∠VRS = ∠RTS + ∠RST
(Substituting the values of of angles from the figure)
=> (9x + 2) = 51 + (3x + 5)
=> 9x + 2 = 51 + 3x + 5
isolating x
=> 9x - 3x = 51 + 5 - 2
=> 6x = 54
dividing both sides by 6
=> x = 9
In the base-ten number system, ten digits {0, 1, 2, 3, 4, 5, 7, 8, 9) are used for number
representations. The base-ten number 825 therefore means 8 x 102+2 x 10+5 x 1
Similarly, in the base-three number system, three digits {0, 1, 2) are used for number
representation. A base-three number 1212 means 1 x 3 +2 x 32 + 1 x 3+2 x 1. What
is the base-three representation of the base-ten number 35?
Answer:
..............I think its wrong .......
13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0
Answer:
(A) 8.6
Step-by-step explanation:
distance =√((x_2-x_1)²+(y_2-y_1)²)
the actual distance is 8.602325.
rounded distance is 8.6
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answer:
I think these are the answers
a) 3
b) 1
c) 1
emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?
Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
I ain’t giving n9 answer
A science club has a muffin sale. Each bag has 25 muffins. There are 630 muffins to sell. About how many bags of muffins are there?
Answer: 25.2 or 25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
because you just devide
Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?
Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
$26.50
Step-by-step explanation:
If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.
1 cookie is 7.95/3 = 2.65.
Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.
10 cookies will cost $26.50.
