Answer:
n = 2 i beleve
Step-by-step explanation:
i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff
<3 have a good day <3
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]
For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x
[tex]-4[/tex] is a part of the solution set to all of the inequalities
We will consider each inequality in turn:
For [tex]x>-5[/tex]:
The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]
For [tex]2>x[/tex], or [tex]x<2[/tex]:
The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]
For [tex]3x+4\ge -8[/tex]:
We have to solve first
[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]
The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]
For [tex]5x\le 2x-3[/tex]:
We have to solve first
[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]
The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]
For [tex]-6<4-2x[/tex]:
We have to solve first
[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]
The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]
So, [tex]-4[/tex] is a part of the solution set of all the inequalities.
Learn more about inequalities here: https://brainly.com/question/278997
package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?
Answer:
36.90
Step-by-step explanation:
A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?
what's y'all's favorite netflix movie ?
Answer:7 deadly sins cursed by light
Step-by-step explanation:
how do i solve reflections
[tex]how \: do \: i \: solve \: reflection[/tex]
Answer:[tex]reflection \: a \: geometric \: transformation \: resulting \: in \: a \: mirrior \: image. \: in \: a \: reflection \: a \: shape \: is \: flipped \: over \: a \: mirrior \: line \: or \: line \: of \: reflection \: to \: face \: the \: opposite \: direction.[/tex]
<C and <F are a linear pair. If m<C = 3x and m<F = 3x + 18, find m<F.
Answer:
108
Step-by-step explanation:
A linear pair adds to 180 degrees
<C + <F = 180
3x+ 3x+18 = 180
6x+18 =180
6x+18-18= 180-18
6x =162
6x/6 =162/6
x=27
<F = 3x+18 = 3(27)+18 =81+27 = 108
A container of 24 eggs costs $6.96. What is the cost of each egg?
Answer:
$0.29
Step-by-step explanation:
Hello!
All you gotta do is 6.69/24 and it should give you 0.29.
help me pls. will mark brainliest
Answer:
(1,1) and (2,2)
Step-by-step explanation:
you have to locate points that will overlap with both shaded area
Identify the slope!!
Answer:
Step-by-step explanation:Method 2 of 2: Solving for Slope Get a line of which you want to know the slope. Make sure that the line is straight. ... Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ). Pick which point's coordinates are dominant in your equation. ... Set up the equation using the y-coordinates on top and the x-coordinates on bottom. More items.
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1Help will give Brainlest only true answers only please dont guess
Answer: 75%
Step-by-step explanation:
35% of 5 liters is 1.75 liters
1.75 liters + 8 liters = 9.75 liters (only juice)
(5 liters + 8 liters = 13 liters) (the whole thing)
So, 9.75/13 is 75%
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
Answer the question in the image below
Answer:
B. m[tex]\geq 2\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]m\geq \frac{5}{2}[/tex]
How to simplify -7 + 3 - 20
Answer:
-24
Step-by-step explanation:
-7 +3 is -4
-4+-20 is -24
-7 + 3 - 20
= -4 - 20
= -4 + -20
= -24
______
Hope it helps ⚜
PLS help
85% of 2500m
Answer:
2125m or 2km or 125m
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
2125 meters
Step-by-step explanation:
Have a great day!
someone please help me
Answer:
(a) A is steeper; 4/5 > 2/5
Step-by-step explanation:
The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.
The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...
slope = rise/run = 2/5
This eliminates choice C.
The correct description of the relationship is the first one:
Equation A has a steeper slope, because 4/5 is greater than 2/5.
Learning Task 3: Write at least three equivalent ratio of the given ratio. Write your answer in your notebook. 6.) 8/10 = 7.) 3/5 = 1.) 2/4 = . = 2.) 5/10 = 3.) 4/5 = = I 8.) 2/8 = 9.) 3/7 = 10.) 6/8 4.) 3/9 = 5.) 2/5 = - cond and colon form. Do this in
Answer:
Equivalent Ratio
A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.
Solution:
Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.
1) 2⁄4 = 1⁄2, 4⁄8, 6⁄12
2÷2 / 4÷2 = 1⁄2
2×2 / 4×2 = 4⁄8
2×3 / 4×3 = 6⁄12
2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60
5÷5 / 10÷5 = 1⁄2
5×4 / 10×4 = 20⁄40
5×6 / 10×6 = 30⁄60
3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35
4×2 / 5×2 = 8⁄10
4×4 / 5×4 = 16⁄20
4×7 / 5×7 = 28⁄35
4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63
3÷3 / 9÷3 = 1⁄3
3×3 / 9×3 = 9⁄27
3×7 / 9×7 = 21⁄63
5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35
2×2 / 5×2 = 4⁄10
2×4 / 5×4 = 8⁄20
2×7 / 5×7 = 14⁄35
6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70
8÷2 / 10÷2 = 4⁄5
8×3 / 10×3 = 24⁄30
8×7 / 10×7 = 56⁄70
7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60
3÷3 / 15÷3 = 1⁄5
3×2 / 15×2 = 6⁄30
3×4 / 15×4 = 12⁄60
8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56
2÷2 / 8÷2 = 1⁄4
2×3 / 8×3 = 6⁄24
2×7 / 8×7 = 14⁄56
9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42
3×2 / 7×2 = 6⁄14
3×4 / 7×4 = 12⁄28
3×6 / 7×6 = 18⁄42
10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48
6÷2 / 8÷2 = 3⁄4
6×4 / 8×4 = 24⁄32
6×6 / 8×6 = 36⁄48
Step-by-step explanation:
Answer:Equivalent Ratio
For the equation y = -x +5, find y when x = -2
Answer:
y = 7
Step-by-step explanation:
y = -x + 5
when x = -2
y = - (-2) + 5
Double negative is positive
y = 2 + 5
y = 7
Answer:
y=7
Step-by-step explanation:
When x=-2,
y=-x+5
=-(-2)+5
=2+5
=7
464.93 to the nearest millions
Answer:
It can not be rounded to the nearest millionths bc there is not millionths place in the decimal
Step-by-step explanation:
Y=2x-1 và y=3x+2 khi
Answer:
x = 3, y= 5
Step-by-step explanation:
y = 2x - 1 -----(1)
y = 3x + 2 ----(2)
From (1)
2x - y = 1 ----(3)
From (2)
3x - y = -2 -----(4)
Solving (3) and (4) simultaneously
2x - y = 1
- 3x - y = -2
___________
x = 3
subst. x = 3 in (1)
2(3) - y = 1
6 - y = 1
y = 6-1
y = 5
Hence, x = 3, y = 5
Model with Math The 46 golf balls in Stavin's
golf bag have 15,180 dimples on them. Each
golf ball has the same number of dimples,
Use the bar diagram to write and solve an
equation to find the number of dimples on
each ball in Stavin's bag,
Answer:
Step-by-step explanation:
divide 15,180 and 46=330 dimples on each ball
rlly need help pls hurry fast
Answer:
Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.
Supplementary angles add up to 180°
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Which table of values represents a linear function?
Answer:
I don't know it's very hart
HELPPPPPP PLSSSSSSSSS
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Given, ∠POR=120
o
Hence, ∠POR=2∠PQR (half angle property)
∠PQR=
2
1
×120
o
=60
o
PQRS is a cyclic quadrilateral
∴∠PQR+∠PSR=180
o
∠PSR=180−60
∠PSR=120
o
The principal is equally distributing 6
4
5
cakes on 2 tables for a school party. How many cakes are on each table?
645/2=322.5 cakes on each table
hope this helps!
Pls help meeeeeeeeeee
Answer:
Step-by-step explanation:
He should be just fine.
There are 1000 grams in a kilogram.
He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.
He has 3 kg with 0.410 kg left over.
. He rowed 3 1/2 miles in 1/2 hour.What is the average speed in miles per hour.
Answer:
7 miles per hour
Step-by-step explanation:
3 1/2 miles = 7/2 miles
1/2 hours= 30 minutes
So,
In 30 mins, travelled 7/2 miles
In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles
In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.
Hence, the speed is 7 miles per hour.
Hope this helps :)
Kal decides to open a home-based cupcake business. His cost is an initial value of $10 in operating expenses plus $0.25 to make each cupcake. He will sell each cupcake at $1.50 to try and make a profit. How many cupcakes will he need to sell before he makes a profit?
Also need an equation
Answer:
4
Step-by-step explanation: