Answer:
(a+b)³=a³+3a²b+3ab²+b³
Answer:
Step-by-step explanation:
Hello!
(a+b)(a+b)(a+b)
(a+b)(a+b) = a²+2ab + b²
(a²+2ab + b²) (a+b)=
a³ + a²b + 2a²b + 2ab² + ab² + b³ =
a³ + b³ + 2a²b + 2ab² + ab² + a²b
A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.
If a ball is drawn at random, find the probability that it is neither blue nor red.
Answer:
1 /4
Step-by-step explanation:
Given that :
Number of red = 7
Number of Blue = 7
Number of green = 14
Total number of balls = 28
Probability of picking a ball that is neither red nor green.
Probability = required outcome / Total possible outcomes
P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4
Find the volume of the cylinder please
ASAP
Answer:
33ft^3
Step-by-step explanation:
radius is half the diameter, half of 2=1 and 1^2=1
3(1)(11)=33
Answer: V = 33 ft³
Step-by-step explanation:
π = 3
r = (1/2)d = (1/2) (2) = 1 ft
h = 11 ft
Given Formula
V = π r² h
Substitute values into the formula
V = (3) (1)² (11)
Simplify exponents
V = (3) (1) (11)
Simplify by multiplication
V = 33 ft³
Hope this helps!! :)
Please let me know if you have any questions
simultaneous equation
Answer:
(55/38,-16/19)
Step-by-step explanation:
4x -5y = 10
2x + 7y = -3
4x -5y = 10
-4x -14y = 6
-19y = 16
y = -16/19
2x -112/19 = -57/19
x = 55/38
The t distribution should be used whenever _____. Group of answer choices the sample size is less than 30 the population is not normally distributed the sample standard deviation is used to estimate the population standard deviation None of the answers is correct.
Answer:
A: the sample size is less than 30
Step-by-step explanation:
Usually, the t-distribution is used instead of normal distribution in calculation of the mean of a normally distributed population when the sample size is small (n < 30) and if the population standard deviation is not known.
Thus, looking at the options, the correct one is Option A.
Segment addition and midpoints
The measure of QS is 11 units.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.
Q_________R___________S_________T
Given that RT= 12
And RS=7
⇒ RT= RS + ST
⇒ ST= RT - RS
⇒ ST= 12-7
Substitute the values of RT and RS,
⇒ ST= 5
⇒ QT= 16
⇒ QR = 16 - RT= 16 - 12 = 4
⇒ QS = QR + RS
Substitute the values of QR and RS,
⇒ QS = 4 + 7=11
⇒ QS = 11
Hence, the measure of QS is 11 units.
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What is the value of x?
Answer:
x=5
Step-by-step explanation:
[tex]\frac{10}{x} = \frac{4x}{10}[/tex]
[tex]4x^{2} =100\\x^{2} =25\\x=5[/tex]
9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.
Answer:
Circumference is 43.982 cm
Step-by-step explanation:
[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]
[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]
How do I solve this
Answer:
x = -1 y = 3
Step-by-step explanation:
x = 2y-7
2x + 3y = 7
Substitute x =2y-7 in 2y + 3y = 7
2(2y-7) + 3y = 7
4y-14+3y = 7
7y - 14 = 7
7y = 7 + 14
7y = 21
7y/7 = 21/7
y = 3
Substitute 3 for y in x = 2y-7
x = 2(3) - 7
x = 6 -7
x = -1
Answered by Gauthmath
Classify the polynomial and determine its degree.
The polynomial –2x2 – x + 2 is a
with a degree of
.
Answer:
Trinomial, 2
Step-by-step explanation:
Answer:
Trinomial, 2
Step-by-step explanation:
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn What is the probability of drawing a King and then another King?
Answer:
probability that 2 cards drawn from a deck of 52 cards are both kings.
is probability that first card is a king times probability that second card is a king
with replacement 4/52*4/52 =0.592%
without replacement 4/52*3/51=0.452%
Step-by-step explanation:
convert 3.35 hours into hours and minutes
3.35 hours is 3 hours and 21 minutes.
3.35 hours is also equivalent to 201 minutes and 0 seconds or 12060 seconds.
Hope this helps!
Have a wonderful day!
Answer:
3 hours and 21 minutes
Step-by-step explanation:
Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both
Answer:
I know this problem is an
✔ equation
because it has an equals sign.
The t is the
✔ variable
.
The negative sign is the
✔ operation
.
The 7 and the 8 are both
✔ constants
.
Step-by-step explanation: i took the test :( crying cuz im bouta fail
Every bottle of supercharge vitamins contains 50 vitamins. Let v be the total number of vitamins and let b be the number of bottles.
Answer:
The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".
Step-by-step explanation:
A single bottle of supercharging includes the equivalent of 50 vitamins.
Number of vitamins v = Total number of vitamins
b = the number of bottles that were used
Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).
[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.
Answer:
i just did it- here ya go
Step-by-step explanation:
Factor the polynomial expression 4x3 - 4.
==================================================
Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the line through (2, -4) and having slope of 3/5.
Answer:
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
Step-by-step explanation:
Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:
[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.
If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:
[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]
[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]
[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
find the value of m if 3m/5+m/2=4/1+2/5
Answer: m = 3.89
Step-by-step explanation:
(3m/5)+(m/2) =(4/1)+(2/5)
= (taking LCM) (6m+5m)/10 = (20+1)/5
or, 11m/10 = 21/5
or, 55m = 210
or, m = 210/55
so, m = 3.89
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 24.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 43 = x /34
34 cos 43 = x
x=24.86602
To the nearest tenth
x = 24.9
thực hiện phép tính
√2+√3 - √2-√3
Answer:
Answer = 0
Step-by-step explanation:
√2+√3 - √2-√3
= 0
Hope this answer helps you :)
Have a great day
Mark brainliest
find the measure of one interior angle for the following regular polygon
Answer:
144 degrees
Step-by-step explanation:
We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:
(n-2)(180) = ?
(10-2)(180) = ?
(8)(180) = 1440.
Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).
1,440/10 = 144
= 144 degrees
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
Answer:
Common difference = 0.5
First term = 6.
Step-by-step explanation:
the 12th term a12 = a1 + d(12-1) where a1 = first term and d = the common difference.
So a1 + 11d = 10.5 ....(A) Similarly:
a1 + 17d = 13.5....(B)
Subtracting equations:
(B) - (A) :-
6d = 13.5 - 10.5 = 3
d = 3/6 = 0.5
From equation (A):
a1 + 11(0.5) = 10.5
a1 = 10.5 -5.5 = 5.
Solve for t. 4=12gt^2
t=8g√
t=(8g)2
t=g8√
t=8g√
PLEASE PLEASE HELP ILL GIVE BRAINLIEST IF CORRECT
Answer:
[tex]t = \sqrt{ \frac{8}{g} } [/tex]
Step-by-step explanation:
We are solving for t.
[tex]4 = \frac{1}{2} g {t}^{2} [/tex]
Multiply both sides by 2.
[tex]8 = gt {}^{2} [/tex]
Divide both sides by
[tex] \frac{8}{g} = {t}^{2} [/tex]
Take square root of both sides.
[tex]t = \sqrt{ \frac{8}{g} } [/tex]
If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?
Answer:
8x-2
Step-by-step explanation:
l = x+4
w = 3x-5
The perimeter is
P =2(l+w)
= 2(x+4+3x-5)
Combine like terms
= 2(4x-1)
Distribute
= 8x-2
Answer:
[tex]8x-2[/tex]
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:
[tex]2(x+4)+2(3x-5)[/tex]
We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]
We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]
Adding them together, we get the answer as [tex]8x-2[/tex]
Use properties to evaluate
(2)-27
3)
QUESTION
3
-3
O O O O
27
-27
Pythagorean Theron can someone help me solve this
8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night
Step-by-step explanation:
Answer of your question is 800Multiply using the FOIL method:
(x + y) (x + 2)
Answer:
x^2 +2x+xy +2y
Step-by-step explanation:
(x + y) (x + 2)
FOIL
first x*x = x^2
outer x*2 =2x
inner y*x= xy
last = y*2 =2y
Add together
x^2 +2x+xy +2y
Answer:
Step-by-step explanation:
F - First ; O - Outside ; I - inside ; L -last
(x + y)(x + 2) = x*x + x*2 +y*x +y*2
= x² + 2x + xy +2y
Suppose that the least common multiple of the first $25$ positive integers is equal to $26A7114B4C0$. Find $100 \times A + 10 \times B + C$.
Start by removing 1 and the primes from the set {1, 2, 3, …, 25}. The LCM among these numbers will be their product.
{1, 2, 3, 5, 7, 11, 13, 17, 19, 23} ==> product = 223,092,870
Factorize the remaining numbers in the set:
{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25} ==>
{2², 2×3, 2³, 3², 2×5, 2²×3, 2×7, 3×5, 2⁴, 2×3², 2²×5, 3×7, 2×11, 2³×3, 5²}
From each number above, remove any factor already accounted for in the product of primes:
{2, 1, 2², 3, 1, 2, 1, 1, 2³, 3, 2, 1, 1, 2², 5}
The LCM among these factors is 2³×3×5 = 120.
Then the LCM of the numbers in {1, 2, 3, …, 25} is
223,092,870 × 120 = 26,771,144,400
so that A = 7, B = 4, and C = 0. Then
100A + 10B + C = 740
What is the value of x?
Enter your answer in the box.
X =
Answer:
x = 55°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
x + 75 + 50 = 180
x + 125 = 180
x = 55
Therefore, x = 55°.
Answer:
x = 55
Step-by-step explanation:
the angles of a triangle add up to 180 degrees. So far we have 125 taken up.
We do 180 - 125 = 55.
x = 55
Consider the function below. 74 POINTS!!!!!!!!
Which of the following functions could be the inverse of function f?
Answer:
x -2 3 8 13
f^-1(x) -1 0 1 2
Step-by-step explanation:
The inverse function has the input as the output and the output as the input
x -2 3 8 13
f^-1(x) -1 0 1 2
Answer: C
Step-by-step explanation: In this problem, we're given a function
in the form of a chart and we're asked to find the inverse of the function.
To find the inverse of a function, we simply switch
the x and y values in each point.
In other words, the point (-1, -2) becomes (-2, -1),
the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),
and the point (2, 13) becomes (13, 2).
What is the volume of the regular pyramid?
576m
96 m
480 m
240 m
Answer:
volume is 576
Step-by-step explanation:
all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!
The volume of a pyramid is 720 m³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
Base area:
A = (1/2) x apothem x perimeter
where the perimeter is the total length of all five sides of the pentagon.
So,
= 1/2 x 4 x (5 x 8)
= 2 x 40
= 80 m²
Height.
= 18 m
Now,
The volume of a pyramid.
= 1/2 x 80 x 18
= 80 x 9
= 720 m³
Thus,
The volume of a pyramid is 720 m³.
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