Answer:
A..... I guess the answer must be A
Use FOIL and the distributive property to derive (a-b)^3
Answer:
(a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
Step-by-step explanation:
(a-b)^3 = (a-b)(a-b)(a-b)
According to the perfect cube formula (a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
And there you have it! The perfect cube formula already solved your equation!
Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results:
Politics
Liberal
Moderate
Conservative
Total
Female
40
34
14
88
Male
48
50
26
124
Total
88
84
40
212
Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary.
a.
0.226
c.
0.387
b.
0.415
d.
0.455
Please select the best answer from the choices provided
A
B
C
D
Answer:
Answer is a (A)
Step-by-step explanation:
Answer is a (A)
Find the zero of the function f(x)=x-3
When you look at the equation it's basically in slope-intercept form
.[tex]f(x)=x-3[/tex] = [tex]y=x-3[/tex]
which mean that your coordinates would be (0, -3) and (3,0)
For what value of x must ABCD be a parallelogram?
Can someone please help
Answer:
B. 81 weeks
Step-by-step explanation:
If we plug everything into the equation it should look like this:
[tex]82 = w + 1[/tex]
Then we would subtract 1 from both sides, then we are left with w:
[tex]w = 81[/tex]
Hope this helps!
The pyramid below has a rectangular base and E is directly above A. find the volume of the pyramid
if you answer i’ll give you brainlest
Step-by-step explanation:
According to the information given and the formula
base area= 9cm × 4cm = 36
ht= 10cm
(1/3) × 36cm × 10cm = 120
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
What is Pyramid?
A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle which is called a lateral face.
Given are the dimensions of the base of a rectangular pyramid as 9 cm by 4 cm. Length AE is equal to 10 cm.
The volume of a pyramid is given by -
V[P] = 1/3 x B[A] x height
where
B[A] is Base area.
Base area will be equal to Area of rectangle with dimensions 9 cm by 4 cm. Therefore, the base area will be - B[A] = 9 x 4 = 36 cm²
Now, the volume will be -
V[P] = 1/3 x 36 x 10
V[P] = 12 x 10
V[P] = 120 cm³
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
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Let $z$ and $w$ be complex numbers satisfying $|z| = 4$ and $|w| = 2$. Then enter in the numbers\[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.
Answer:
a) |z+w|² cannot be uniquely determined from the information provided.
b) |zw|² = [|z| × |w|]² = (4×2)² = 64.
c) |z+w|² cannot be uniquely determined from the information provided.
d) |z/w|² = [|z|/|w|]² = (4/2)² = 4
Step-by-step explanation:
z & w are complex numbers with magnitudes
|z| = 4
|w| = 2
We are the told to find
|z + w|²
|zw|²
|z - w|²
|z/w|²
Let the complex numbers be
z = x + iy
w = a + ib
|z| = √(x² + y²) = 4
|w| = √(a² + b²) = 2
|z|² = x² + y² = 16
|w|² = a² + b² = 4
z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)
|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²
= (a² + b²) + (x² + y²) + 2ax + 2by
= |w|² + |z|² + 2ax + 2by
= 4 + 16 + 2ax + 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
zw = (x + iy)(a + ib) = ax + i(bx + ay) - by
= (ax - by) + i(bx + ay)
|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy
= a²x² + b²y² + b²x² + a²y²
= a²(x² + y²) + b²(x² + y²)
= (a² + b²)(x² + y²)
= |w|² × |z|²
= 4×16
= 64
c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)
|z-w|² = (x - a)² + (y - b)²
= x² - 2ax + a² + y² - 2by + b²
= (a² + b²) + (x² + y²) - 2ax - 2by
= |w|² + |z|² - 2ax - 2by
= 4 + 16 - 2ax - 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
d) z/w = (x + iy)/(a + ib)
Rationalizing by multiplying numerator and denominator by (a - ib)
(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]
= [ax - by + i(ay - bx)]/(a² + b²)
|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²
= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)
= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]
= [(a² + b²)(x² + y²)]/[(a² + b²)²]
= [(x² + y²)/(a² + b²)]
= |z|²/|w|²
= (4/2)²
= 4
Hope this Helps!!!
Martin rolls a 3 on a die. He rolls again and gets a 4. This situation describes
a simple event.
A. True
B. False
Answer:
B
Step-by-step explanation:
Rolling dice is simple, but it definitely isn't an event.
AC is included between
1
A
c
O A. ZA and ZC
O B. ZA and ZB
O C. AB and BC
O D. BC and AC
Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.
What is an Included Side?An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.
Thus, in triangle ABC, side AC lies in between angle A and angle C.
Therefore, since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.
Learn more about included side on:
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Answer: A
Step-by-step explanation:
The cube root of 2x2x2x73
Answer:
2*cuberoot(73)
Step-by-step explanation:
We can move the 2^3 put of the radical as a 2
what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal
Answer:
Step-by-step explanation:
The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.
Here this comes out to A = 2π(4)(7) = 56 π units^2
If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:
A = 2πr² = 2π(4 units)² = 32π units²
Answer:
its 88 pi
Step-by-step explanation:
i did it on khan
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
f⁻¹(-2)=3
f⁻¹(1)=0
Step-by-step explanation:
inverse function flips x any coordinate into y and x
Find the y-intercept of the following equation. Simplify your answer.
y = 6x + 4
y-intercept =
Answer:
The slope is 6 and the y intercept is 4
(0,4)
Step-by-step explanation:
y = 6x + 4
This is in the form y = mx+b
where m is the slope and b is the y intercept
The slope is 6 and the y intercept is 4
(0,4)
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
Evaluate and Solve 6x + 4 > 7
Answer:
x>1/2
Step-by-step explanation:
6x>3
x>1/2
Answer:
X>1/2
Step-by-step explanation:
6x + 4> 7
-4 on each side
6x > 3
Divide 6 on each side
X>1/2
Hope this helps plz mark brainliest!
Aiden is putting a carpet on the floor of his bedroom. The carpet is 6 feet long and 7 feet wide. What is the total area of Aiden's carpet?
6 × 7 = 42 because area = length × width
Select the term that does not describe the triangle. Select all that apply.
A) acute
B) obtuse
C) scalene
The triangle is not obtuse. The triangle IS both acute and scalene.
Answer:
B) obutse
Step-by-step explanation
none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse
Trent went skiing with his family. His mom and dad made him put on many different layers of clothing so that he would be warm while playing out in the snow. What did the layers of clothing act as? A) conductor B) friction C) insulation D) radiation
I think the answer is A. conductor
Answer:
Step-by-step explanation:
Its insulation because the clothing traps in your body heat.
the lines shown below parallel. if the green line has a slope of -1, what is the slope of the red line
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -1, the red line has a slope of -1
What is the probability of spinning an A?
Answer:
25%
Step-by-step explanation:
There are 8 slices in the spinny thingy.
There are 2 A's
[tex]\frac{1}{4}[/tex] = 25%
Please help!
there were 6000 people at a football match
10% of them left 2 minutes before the end of the game to avoid traffic
50% of the rest left as soon as the match ended
a) how many people in total had left the football match when it ended?
b) what percentage of the original crowd was still there?
10%+50%=60%
60% of 6000=3600
a)3600 people had left the match when it ended
b)6000-3600=2400
40% of the crowd was still there
Which graph could represent the price of a fence selling at a unit rate of R dollars per foot?
Answer:
the middle one is the correct answer
Step-by-step explanation:
Answer:
the answer is (1,R)
Step-by-step explanation:
Help me quick please
Answer:
if i counted correctly its 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Ok, so on this chart, each blue dot represents one person, so add up all the dots, and we get 15.
inductive reasoning is when uses lots of data to make a conjecture A. True B. False please answer now I need help with this please answer
Answer:
False
Step-by-step explanation:
Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.
How do I do this? I can't remember how and Algebra 2 has always been a struggle for me
Answer:
Step-by-step explanation:
This is a piecewise function. If we are finding the average rate of change over the interval 4 and 12 inclusive, that means that we are finding the slope of the whole function (both pieces) from 4 to 12 (domain values are from 4 to 12. That means x values). This is not a straight line, so the average value is merely a rough estimate of the slope between x values 4 and 12.
When x ≤ 4, we have to use the first piece of the function, 3x - 7 because the restriction on the domain is that x has to be less than 6 and 4 is less than 6. Evaluating at the domain of 4 in the first piece will give us an (x, y) coordinate to help find the slope.
f(4) = 3(4) - 7 and
f(4) = 12 - 7 so
f(4) = 5 and the coordinate is (4, 5).
When x ≤ 12 we have to use the second piece of the function, .75x + 10 because the domain restriction is that x has to be greater than or equal to 6 and 12 is greater than 6. Evaluating at a domain of 6 will give us the other coordinate we need to find the slope.
f(12) = .75(12) + 10 and
f(12) = 9 + 10 so
f(12) = 19 and the coordinate is (12, 19). Now for the slope (aka average rate of change). Using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{19-5}{12-4}=\frac{14}{8}=\frac{7}{4}[/tex]
There you go! Just remember the domain thing and you should be fine.
A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a number greater than 5
Answer:36/52, simplified to 9/13 or 69.23%
Step-by-step explanation:
Need to pick 6, 7, 8, 9, 10, J, Q, K, A (9 cards per suit)
4 suits x 9 cards
36 cards
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed the points lol
part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]
Step-by-Step Explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18
[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]
Note: 8² + 15² = hypotenuse² → hypotenuse = 17
[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
Note: hypotenuse not needed for tan
[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]
Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]
What is pythagorean theorem ?If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.
Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]
What are the trigonometric functions ?cosθ = (Side adjacent to θ)/(Hypotenuse)
sinθ = (Side opposite to θ)/(Hypotenuse)
tanθ = (Side opposite to θ)/(Side adjacent to θ)
What are the values of required trigonometric functions ?5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]
= [tex]\sqrt{99+225}[/tex]
= [tex]\sqrt{324}[/tex] = 18
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]
6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]
= [tex]\sqrt{64+225}[/tex]
= [tex]\sqrt{289}[/tex] = 17
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{8}{17}[/tex]
7) tanθ = (Side opposite to θ)/(Side adjacent to θ)
= [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]
8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{2}{2\sqrt{10} }[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
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Find the slope of the line that passes through (6, 15) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=-5/4
Step-by-step explanation:
the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1
Plzzzzzz answer fast I need help
Answer:2,3,4
Step-by-step explanation:
A square of area 36 cm2 is cut to make two rectangles, A and B the ratio of A to area b is 2 : 1
Answer:
24 cm² and 12 cm²
Step-by-step explanation:
Sum the parts of the ratio, 2 + 1 = 3 parts
Divide the area by 3 to find the value of one part of the ratio.
36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus
2 parts = 2 × 12 = 24 cm²
area of A = 12 cm² and area of B = 24 cm²
Answer:
3:1
Step-by-step explanation: