Answer:
[tex] {y}^{8} + 8 {y}^{7} + 28 {y}^{6} + 56 {y}^{5} + 70 {y}^{4} + 56 {y}^{3} + 28 {y}^{2} + 8y + 1[/tex]
Answer:
Step-by-step explanation:
This is an ugly binomial expansion, which you should try to remember
These are the coefficients for the power
1,2,1 for power two
1,3,3,1 for p=3
1,4,6,4,1 for p=4
1,5,10,10,5,1 for p=5
you should see a pattern here :)
1,8,28,56,70,56,28,8,1
In general the terms are ordered for the expansion of (a+b) that has the form
a^n(b^0)+a^(n-1)b^1+...a^0(b^n) since we have (y+1)^8 we wind up with
y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1
7 + r ≥ 18
Which is true?
11
10
9
Answer:
11
Step-by-step explanation:
ez
Answer:
11
Step-by-step explanation:
y varies directly as x and inversely as the square of z. y = 65 when x = 80 and z=4. Find y when x= 18 and z=3.
Answer: y
=
18
Explanation:
As
y
varies directly as
x
, we have
y
∝
x
. Also it varies inversely as square of
z
, which means
y
∝
1
z
2
.
Hence,
y
∝
x
z
2
or
y
=
k
×
x
z
2
, where
k
is a constant.
Now when
x
=
80
and
z
=
4
,
y
=
10
, so
10
=
k
×
80
4
2
=
k
×
80
16
=
5
k
Hence
k
=
10
5
=
2
and
y
=
2
x
z
2
.
So when
x
=
36
and
z
=
2
,
y
=
2
×
36
2
2
=
72
4
=
18
Step-by-step explanation:
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Guided Practice
Determine whether the function rule models discrete data, continuous data, or neither.
A hardware store sells bolts for $.35 apiece. The function C(p) = 0.35p relates the total cost of the bolts to the number p purchased.
A.
neither
B.
continuous data
C.
discrete data
Answer:
C.
discrete data
Step-by-step explanation:
The given function is:
C(p) = 0.95p
Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.
An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.
The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.
Therefore, the answer to this question is: The Function models discrete data.
I need help with number 13.. no idea how to solve it.
Answer:
Step-by-step explanation:
This items has Parts A and B.
Please scroll to the bottom of the page to answer each part.
Complete each of the 2 activities for this Task.
Use the information to answer the following questions.
Describe the probability of each given outcome using one of the phrases shown.
Certain
Likely
Unlikely
Neither likely nor unlikely
Impossible
Activity 1 of 2
Part A: A bag contains 10 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Which phrase BEST describes the probability?
A.
Likely
B.
Neither likely nor unlikely
C.
Certain
D.
Impossible
E.
Unlikely
Activity 2 of 2
Part B: A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
A.
Yes, because it is still less likely to have an outcome of drawing a Twix.
B.
Yes, because there are still only two possible outcomes.
C.
No, because it is still less likely to have an outcome of drawing a Twix.
D.
No, because there are still only two possible outcomes.
Answer: part A: ( E : unlikely )
Step-by-step explanation:
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Adam bought 4 concert tickets online.Adam uses a website that charges a fee of $8 for each ticket. He spent the total$100.
Answer:
He spent 32 dollars
Step-by-step explanation:
3. A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway
through it. The garden region is shown below. Find the area of the garden region by finding the areas of the
Individual shapes shown in the figure.
78 ft
72 ft
I
30 ft
20 ft
I’ll give BrainlyESt
Answer: i dont know the answer but find the area of each shape then add them together
Answer:
328 or 3600
Step-by-step explanation:
I'm not giving you the answer because of that profile picture, i'm not hom0phobic because I am gay myself but ships like that are the reason I left the MHA community.
PLEASE HELP!!!!!! IM HORRIBLE AT MATH
Im bad at math too! we can be horrible at math together
A rectangle is 40 yards long and 30 yards wide. What is the length of the diagonal that cuts through the center?
Answer:
it should be 50
Step-by-step explanation:
Using the pythagorean theorem c = [tex]\sqrt{a^{2} +b^{2} }[/tex] we get 50
-4(-3x - 8) - 34 Simplify.
Answer:
12x-2
Step-by-step explanation:
-4(-3x - 8) - 34
distribute
12x+32-34
add like terms
12x-2
Answer:
[tex]12x-2[/tex]
Step-by-step explanation:
[tex]-4(-3x-8)-34[/tex] (Distribute the -4)
[tex]12x+32-34[/tex] (Subtract)
[tex]12x-2[/tex]
And if you want to find x.
[tex]12x-2=0[/tex] (Add 2 on both sides)
[tex]12x=2[/tex] (Divide by 12 on both sides)
[tex]x=\frac{2}{12}= \frac{1}{6}[/tex]
Each serving for a box of trail mix is 3/8 of a cup.
Enter the number of 3/8 -cup servings there are in 1 1/2 cups of trail mix.
Answer:
It's 4
Step-by-step explanation:
It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.
1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)
what is the sum of angles in a triangle
Answer:
The sum of the three angles of any triangle is equal to 180 degrees.
Step-by-step explanation:
Answer: The sum of angles in a triangle is 180 degrees
For the right triangles below, find the values of the side lengths a and h . Round your answers to the nearest tenth.
Months, x
1
2
3
4
5
# of people, y
18
36
72
144
288
I) Write an exponential function to model the number of people using a social media outlet after x months.
II) Using your formula above, predict the number of people using a social media outlet after 6 months.
26 POINTS !! PLEASE HELP (no fake answers please !)
Answer:
13
Step-by-step explanation:
Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in months .
Will Mark BRAINLIEST!!! Can Someone Help Me With This Question?
BONUS: Show all work for solving the system and ANSWER the highlighted questions.
Answer:
Apple Pie cost $8
Lemon Meringue Pie = $15
Step-by-step explanation:
Creating some variables:
A = apple pie
L = lemon meringue pie
We have two equations:
11A + 1L = 103
11A + 12L=268
You can use elimination or the substitution method to solve. I will be using substitution method.
Solve the first equation for L:
11A + 1L = 103
subtract 11A to both sides
L = 103 - 11A
Plug this into the second equation
[tex]11A + 12(103-11A) =268[/tex]
distribute the 12
[tex]11A + 1236 - 132A = 268[/tex]
combine the A and subtract the 1236
[tex]-121A = -968[/tex]
Divide -968 by -121
A = 8
Next plug this 8 back into one of the two original equations above:
[tex]11(8) + 1L =103[/tex]
[tex]88+L=103[/tex]
subtract 103 by 88
L = 15
Answer:
[tex]A=8[/tex], [tex]L=15[/tex]
Step-by-step explanation:
For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]
Based on the information given it is clear that:
[tex]11A+1L=103[/tex]
[tex]11A+12L= 268[/tex]
We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]
[tex]11A+1L=103[/tex]
subtract [tex]1L[/tex] form both sides
[tex]11A=103-L[/tex]
Now let's input this into the second equation to solve for [tex]L[/tex]
[tex](103-L)+12L=268[/tex]
combine like terms
[tex]11L+103=268[/tex]
subtract [tex]103[/tex] from both sides
[tex]11L=165[/tex]
divide both sides by [tex]11[/tex]
[tex]L=15[/tex]
Now input this value into the first equation for [tex]L[/tex]
[tex]11A+15=103[/tex]
subtract [tex]15[/tex] from both sides
[tex]11A=88[/tex]
divide both sides by [tex]11[/tex]
[tex]A=8[/tex]
plz mark me brainliest. :)
(8y+x+12)=
what is the answer
8y + x + 12
other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1
I NEED HELPPPPP ASAPPPPPPP
true
Step-by-step explanation:
it's at an equal distance
calculate the total amount of milk in three cartons if each carton contains 236 ml of milk
PLEASE HELP U GUYS THIS IS CONFUSINGGG
6.) A homeowner must reduce the use of his home's electricity. The home
currently consumes 25.7 kwh (kilowatt hours) of electricity per day, and the
homeowner must reduce the use by 20%. How many kwh will he be
reducing his energy by?
Answer:
la eneria es muy importante
One year, the population of a city was 252,000. Several years later it was 201,600. Find the percent decrease.
Answer:
20%
Step-by-step explanation:
8 months late gang
:
(2x – Зу = 18
(2x + y = 2
Answer:
2x = 2 × 12 = 24 24 =2x 24-6=18
3y = 3 × 2 = 6 6 =3y
2x = 2×1 = 2 2 =2x 2+0=2
y = 0 0 = y
Step-by-step explanation:
I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong
Answer:
y = -4
x = 3
Step-by-step explanation:
I will be using the elimination method to solve this:
Begin by times -1 to the bottom equation.
[tex]2x-3y=18[/tex]
[tex]-2x-y=-2[/tex]
Add them together
[tex]0x-4y=16[/tex]
ignore the 0x and divide -4 to both sides
[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]
y = -4
Plug y back into one of the two original equations
[tex]2x-3(-4)=18[/tex]
multiply -3 and -4 to get +12
[tex]2x+12=18[/tex]
subtract 12 to both sides
[tex]2x=6[/tex]
divide by 2 to both sides
x = 3
Equation
Number of Solutions
6(2.1 + 1) - 2 = 12.1 + 4
How many solutions does it have?
Chris is 6 feet tall. To find the height of a tree, he measures his shadow and the tree's
shadow. The measurements of the shadows respectively are 8 feet and 28 feet. Find the
height, h, of the tree
Answer:
click the the photo to see better
Step-by-step explanation:
12=n/5
what does n equal
also n/5 is supposed to be a fraction
(3x - 5) + (4x+10) + (x-5) = 90 I need to find x