Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =
Answers
Answer:
Step-by-step explanation:
Answer:
Behold! The web haseth calculators. They work well.
#PlatoAccuracyMatters
Step-by-step explanation:
Related Questions
Question 16
............................................................
Answers
Answer:
[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]
Step-by-step explanation:
To answer this question, you can use a number pattern that is well-known in algebra & higher mathematics called Pascal's Triangle. However, for simplification reasons, I will use the Binomial Theorem as it is quite difficult to create Pascal's Triangle without just attaching an image. A binomial is any two-term expression that are not like terms (for instance, both are integers that lack a variable).
Part I - Expanding the Binomial using the Binomial TheoremAfter constructing Pascal's Triangle, you can use this method to expand a binomial. To do this, it will require a lot of patience and a lot of space.
Using Pascal's Triangle, we can expand the binomial entirely by referencing the exponents given and the coefficients that we have now solved for using Pascal's Triangle.
Referring to the seventh exponent row of the triangle, we can expand the binomial using a formula referred to as the Binomial Theorem.
The binomial theorem states that:
[tex]\large\boxed{(a+b)^{n}=\sum_{k=0}^{n} \binom{n}{k}a^{n-k}b^{k}, \textsf{where} \binom{n}{k}=\frac{n!}{(n-k)!k!} \textsf {\: and \:} n! = 1 * 2 * 3... \textsf{n}}[/tex]
Therefore, we can use this information to begin defining values and expanding the binomial.
We are given an a, b, and n value. These are defined as a = 2y, b = x, and n = 7.
Therefore, [tex](x + 2y)^{7}=\sum_{k=0}^{7} \binom{7}{k}(2y)^{7-k}(x)^{k}[/tex].
Using this information, you can then solve for every k-value. This will be slightly extensive. To solve for each k-value, ignore the summation sign and everything before it. You only need the information that follows the summation sign: [tex]\binom{7}{k}(2y)^{7-k}(x)^{k}[/tex]. This will then extend and allow you to only use the portions of the equation that require factorials.
Be sure that when you get a final answer that you always apply the exponent (k) to the final result.
k = 0
[tex]\binom{7}{0}(2y)^{7-0}(x)^0 = \frac{7!}{(7-0)!0!}(2y)^{7}(x)^{0}\\[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(7*6*5*4*3*2*1)}(2y)^{7}(x)^{0}[/tex]
[tex]1(2y)^{7} = 2y^7=(2y*2y*2y*2y*2y*2y*2y)= 128y^7[/tex]
[tex]\boxed{128y^7}[/tex]
k = 1
[tex]\binom{7}{1}(2y)^{7-1}(x)^{1}=\frac{7!}{(7-1)!1!}(2y)^{6}(x)^1[/tex]
[tex]\frac{7*6*5*4*3*2*1}{6*5*4*3*2*1} (2y)^{6}(x)^{1}[/tex]
[tex]7(2y)^{6}(x)^{1}=448xy^6[/tex]
[tex]\boxed{448xy^6}[/tex]
k = 2
[tex]\binom{7}{2}(2y)^{7-2}(x)^{2}=\frac{7!}{(7-2)!2!}(2y)^{5}(x)^2[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(5*4*3*2*1)(2*1)}(2y)^{5}(x)^2[/tex]
[tex]\frac{42}{2}(2y)^{5}(x)^2[/tex]
[tex]21(2y)^{5}(x)^{2}=672x^2y^5[/tex]
[tex]\boxed{672x^2y^5}[/tex]
k = 3
[tex]\binom{7}{3}(2y)^{7-3}(x)^3=\frac{7!}{(7-3)!3!}(2y)^{4}(x)^{3}[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(4*3*2*1)(3*2*1)}(2y)^4(x)^3[/tex]
[tex]\frac{210}{6}(2y)^4(x)^3[/tex]
[tex]35(2y)^4(x)^3=560x^3y^4[/tex]
[tex]\boxed{560x^3y^4}[/tex]
k = 4
[tex]\binom{7}{4}(2y)^{7-4}(x)^4 = \frac{7!}{(7-4)!4!}(2y)^3(x)^4[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}(2y)^3(x)^4[/tex]
[tex]\frac{840}{24}(2y)^3(x)^4[/tex]
[tex]35(2y)^3(x)^4=280x^4y^3[/tex]
[tex]\boxed{280x^4y^3}[/tex]
k = 5
[tex]\binom{7}{5}(2y)^{7-5}(x)^5=\frac{7!}{(7-5)!5!}(2y)^2(x)^5[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(2*1)(5*4*3*2*1)}(2y)^2(x)^5[/tex]
[tex]\frac{2520}{120}(2y)^2(x)^5[/tex]
[tex]21(2y)^2(x)^5 = 84x^5y^2[/tex]
[tex]\boxed{84x^5y^2}[/tex]
k = 6
[tex]\binom{7}{6}(2y)^{7-6}(x)^6=\frac{7!}{(7-5)!6!}(2y)^1(x)^6[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(1)(6*5*4*3*2*1)}(2y)^1(x)^6[/tex]
[tex]\frac{5040}{720}(2y)^1(x)^6[/tex]
[tex]7(2y)^1(x)^6=14x^6y[/tex]
[tex]\boxed{14x^6y}[/tex]
k = 7
[tex]\binom{7}{7}(2y)^{7-7}(x)^7=\frac{7!}{(7-6)(7!)}(2y)^0(x)^7[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(1)(7*6*5*4*3*2*1)}(2y)^0(x)^7[/tex]
[tex]\frac{5040}{5040}(2y)^0(x)^7[/tex]
[tex]1(2y)^0(x)^7=x^7[/tex]
[tex]\boxed{x^7}[/tex]
Part II - Adding/Subtracting all Terms TogetherNow, we have to take a look at the original binomial and discover whether or not we are to add or subtract these terms together. The original binomial was [tex](x+2y)^7[/tex], so we will add (that is the operation of the binomial).
Therefore, we will add all of the terms that we started with following algebraic notation (that is, alphabetically and highest exponent to lowest exponent).
[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]
This is the final expanded binomial (now a polynomial).
Consider this composite figure. A cone and half sphere. What formulas for volume will need to be applied to calculate the volume of the composite figure? check all that apply.
V = Bh
V = one-fourth B h
V = one-third pi r squared h
V = four-thirds pi r squared
V = four-thirds pi r cubed
Answers
Answer:
C and E on edge
Step-by-step explanation:
C- V = one-third pi r squared h
E- V = four-thirds pi r cubed
Answer:
c and e
Step-by-step explanation:
i agree
one batch of walnut muffins use 1 1/3 cups of walnut how many cups of walnut are needed to make 3 3/4 batches of muffins
Answers
Answer:
multiply 1 1/3 to 3 3/4
Step-by-step explanation:
Answer:
3 2/3
Step-by-step explanation:
If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins
plz answer below will make u brainliest help plz
Answers
Answer:
first one 5 - 30
second one 21 : 7
third one 16 : 32
Step-by-step explanation:
Answer:
Question 1: Gemma gets 5 biscuits and Zak gets 30 biscuits.
Question 2: Emily gets 21 marbles and Asif gets 7 marbles.
Question 3: Niamh gets 16 pencils and Jack gets 32 pencils.
Step-by-step explanation:
Just keep the ratios consistent
Emily is a very good student. She is more likely to attend class than to miss class. Which could be the probability that she misses class tomorrow?
A
–0.4
B
0.1
C
0.7
D
1.2
Answers
Answer:
Im pretty sure it is c
Step-by-step explanation:
What is the value of x?
Enter your answer in the box. Round only your final answer to the nearest hundredth
Answers
Answer:
x = 12.5 yd
Step-by-step explanation:
To find the value of x, use the equation below
cos 37 = [tex]\frac{10}{x}[/tex]
0.80 = [tex]\frac{10}{x}[/tex] Take 10 divided by 0.80 to find x
x = 12.5
If this answer is correct, please make me Brainliest!
Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answers
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
A triangle has lengths 4,7,9 Is it a right triangle why or why not?
Answers
Answer:
No
Step-by-step explanation:
4,7,9 is not a right angle triangle. If it was a right angle triangle then it show work in the formula a^2+b^2=c^2. But 4^2+7^2 doesn't equal 9^2. The hypotenuse or c should be 8.02 to be a right angle triangle.
How can you use the mean absolute deviation of two
data sets to compare them?
Answers
Answer:
The mean absolute deviation tells you how spread out or how clustered around the mean a set of data is. This is the variation in the data. To compare sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean. A lower mean absolute deviation indicates data points are more clustered around the mean.
Answer:
Sample Answer: The mean absolute deviation tells you how spread out or how clustered around the mean a set of data is. This is the variation in the data. To compare sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean. A lower mean absolute deviation indicates data points are more clustered around the mean.
Which did you include in your explanation? Check all that apply. Make sure you have all of them
The mean absolute value is a measure of variation and indicates the spread of the data.
A higher mean absolute deviation indicates that the data points are more spread out from the mean.
A lower mean absolute deviation indicates data points are more clustered around the mean.
15 points for this!! ( btw d is 90 it got cut off)
Answers
X = 90
In a quadrilateral there is 360 degrees. You add up all the given points and subtract then from 360 and you get 90.
So the answer is D.
Hope this helps !
Answer:
The value of x is D) 90°
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
As the total interior angles in a quadrilateral is 360 to work this out you would first need to work out the total of the angles given You can do this by adding 101 and 75 and 94, this gives you 270. This is because it tells us how much of that 360 degree total has been used.
The next step is to work out the angle of x. You can do this by subtracting the total angles gives of 270 from the total of 360, this gives you 90 degrees. This is because by subtracting it we are isolating the value of x.
1) Add the values of 94, 101, 75.
[tex]101+94+75=270[/tex]
2) Minus 270 from 360.
[tex]360-270=90degrees[/tex]
What is the slope of the line that contains these points.
X -4 -3 -2 -1
Y 2 5 8 11
Answers
Answer: Hey! Since the other answer is obviously wrong. Here is the actual answer! (from Khan Academy) .
Step-by-step explanation:
The slope is 3.
Change in y = + 3
Change in x = +1
So, it is not 1/3 but it is 3/1 which is technically 3.
Here is the formula!:
Slope = rise/run = Change in y / change in x.
Always put the y above the x!!! :)
Big ideas math 6th grade chapter 5 test
Answers
Answer:
I'm not sure if you need help but...
Step-by-step explanation:
6+6=12
Find the inequality represented by the graph.
URGENTT
Answers
Answer:
y < 3/4x
Step-by-step explanation:
–6(–5p + 10.45) + 13.98 = –10.6p
Answers
Answer:
p= 1.2
Step-by-step explanation:
30p + -62.7+ 13.98= -10.6p
40.6p = 48.72
p=1.2
Look at the attached picture
Hope it will be helpful to you. .
please help me out! i have a few more of these questions, about 4
Answers
Step-by-step explanation:
You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!
Answer:
Step-by-step explanation:
put a point in at negative 1 first; that is the y value.
Then, go up 1 then to the right six points. that should result in the next point being at (0,6).
Keep going and draw a line
In a board game,you must roll two 6-sided number cubes. You can only start the game
if you roll a 6 on at least one of the number cubes.
NOTE: this is using two cubes.
A)make a list of all the different possible outcomes when two numbers cubes are rolled
B)what fraction of the possible outcomes is favorable,or in other words,what is the theoretical probability of rolling a 6 on at least one numbers cube when rolling the two number cubes? HINT:highlight each pair in the sample space that had at least one 6 in the outcome help you identify “favorable” events.
Answers
Answer:
a)
1-2 2-2 3-2 4-2 5-2 6-2
1-1 3-1 4-1 5-1 6-1
3-3 3-4 3-5 3-6
4-4 4-5 4-6
5-5 6-5
6-6
b) 6
Step-by-step explanation:
To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?
||||
Thank you for helping me out! ;)
Answers
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Ratio is 4:6 so if you have 1 instead you will have a 1:_ ratio. To have gotten the 1 think of it as dividing it by 4, so divide the 6 by 4 to get 3/2 which in mixed form is 1 and 1/2 or 1.5
Hope this helps!
think: 1 cartoon = 1
Answers
Answer:
1 cartoon = 1 dance
Step-by-step explanation:
Not sure what the question asks for?
Answer:
SpongeBob
Step-by-step explanation:
Is that what you wanted?
2. In the figure, what is m ZC? (1 point)
15°
35°
50°
65°
Answers
Answer:
35°
Step-by-step explanation:
By the property of intersecting secants outside of a circle.
[tex] m\angle C = \frac{1}{2} \times (100° - 30°)\\\\
m\angle C = \frac{1}{2} \times 70°\\\\
\huge \red {\boxed {m\angle C = 35°}} [/tex]
4 Please help. If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?
Use π≈3.14 and round your answer to the nearest meter.
Enter your answer as a number, like this: 42
Answers
Answer:
25
Step-by-step explanation:
jusr distance
Answer: 107 meters
Step-by-step explanation:
Cam has a budget of $3,000 per month. She puts $15% of that toward savings. How many months will it take Cam to save $4,050?
Answers
Answer:
9 months
Step-by-step explanation:
3000X(0.15)= 4050
X=9
Which of the functions below could have created this graph?
A. F(X)=x5+2x4+3x
B. F(x)=x3+x+2
C. F(x)=1/2x4+x3+x
D. F(x)=-x4+1
Answers
Answer:
C. [tex]f(x)=1/2x^{4}+x^{3}+x[/tex]
Step-by-step explanation:
I graphed the equation on the graph below and it looks very similar to the graph you gave.
If this answer is correct, please make me Brainliest!
The required function that are in the graph is F(x)=1/2x^4+x^3+x.
Graph has been given, function to be determine.
What are functions?Functions is the relationship between sets of values. e g y=f(x).
From the graph, function gives y = 0 twice when x =0 and x= -2.3
The only function that gives y = 0 for x =0 and x= -2.3 is F(x)=1/2x^4+x^3+x.
Thus, The required function that are in the graph is F(x)=1/2x^4+x^3+x.
Learn more about function here:
brainly.com/question/21145944
#SPJ5
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). HURRY CHOOSE ONE
A Is congruent to B and B Is congruent to C
A Is congruent to A, B Is congruent to B, C Is congruent to C
Each triangle is a right triangle.
Each triangle is an isosceles triangle.
Answers
Answer:
A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Given Figures A, B and C on a coordinate plane with the coordinates below:
Triangle A has points (1, -2), (3, -2), (3, -5).
Triangle B has points (4, 0), (6, 0), (6, -3).
Triangle C has points (4, 0), (6, 0), (6, 3).
The fact that each triangle is a right triangle only shows that the triangles are similar.
For any two shapes to be congruent, they must have in addition to the same shape, the same size.
Therefore, for Triangle A to be congruent to Triangle C, Triangle A must be congruent to Triangle B and Triangle B must be congruent to Triangle C.
Answer:
A = B and B= C
Step-by-step explanation:
Can I please have Brainliest
4x ≥ 12 What does it mean?
Answers
Answer:
X = 3 or higher
Step-by-step explanation:
hope it helps, let me know if it doesn't :)
Answer:
4x ≥ 12 means that 4 times an unknown number will be greater or equal to 12.
Step-by-step explanation:
Can someone please tell me what is -1/9(-27) please
Answers
help! question in photo.
Answers
Answer:
B
Step-by-step explanation:
negative 6 times negative 6 equals 36
Answer:
B.) 36
Step-by-step explanation:
Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1
Answers
Answer:
see below
Step-by-step explanation:
3( 4x - 3) + 8 = 2x + 10x -1
Distribute
12x - 9 +8 = 2x+10x -1
Combine like terms
12x - 1 = 12x - 1
Subtract 12x from each side
12x - 1 -12x = 12x - 1-12x
-1 = -1
This is true for all values of x
x = all real numbers
Answer:
All real numbers are solutions.
Step-by-step explanation:
3 ( 4x - 3 ) +8 = 2x + 10x - 1 Example 1:
12x - 9 + 8 = 12x - 1 3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1
- 12x = -12x 3 ((4) - 3) + 8 = (2) + (10) - 1
-9 + 8 = -1 ( 12 - 9 ) + 8 = 12 - 1
-1 = -1 3 + 8 = 12 - 1
Example 2 11 = 11
3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1
3 ((24) - 3) + 8 = (12) + (60) - 1
72 - 9 + 8 = 72 - 1
72 - 1 = 72 - 1
71 = 71
*place holder since picture has the work*
Answers
Answer:
3rd Choice
Step-by-step explanation:
Answer:
square
Step-by-step explanation:
A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45°.
What is the volume of the pyramid?
A. 2.4 cm3
B. 3.6 cm3
C. 4.8 cm3
D. 7.2 cm3
Answers
Answer: 4.8cm^3
Step-by-step explanation:
2020 edge
hope this helps
Answer: C
Source: Trust me bro
Select all that apply to the graph
Answers
D. There is an x-int at approximately (1.3, 0)
