Leslie has a black and purple marker. She can
use either of them to write on either a white, pink
or yellow sticky note, is this a simple event or compound event?
Answer:
Compound
Step-by-step explanation:
Write the fifteenth term of the binomial expansion of (a^2+b)^20
Answer:
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Step-by-step explanation:
Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:
[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)
Where:
[tex]n[/tex] - Number of terms of the expanded polynomial.
[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.
For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:
[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]
[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Which term correctly describes the figure shown below?
An obtuse triangle ABC is shown. Angle A is 25 degrees, angle B is 110 degrees, and angle C is 45 degrees. Side AB is 6 meters, side BC is 4 meters, and side AC is 9 meters.
A. acute triangle
B. obtuse triangle
C. parallelogram
D. right triangle
Answer:
B) obtuse triangle
Step-by-step explanation:
Hello do any no how to do this .If so can you tell me step by step please. It is called Solving Equations Puzzle.
I'm pretty sure you have to write how much they are
Pink heart is 2
Green square is 2
Blue moon 1
Answer:
Pink Heart = 2 Green Square = 6 Blue Moon = 4
Step-by-step explanation:
h ( h x g) = (b x g) = 24 left side of table
2 (2 x 3) = (4 x 6) = 24 right side of table
h(h x g ) = 2(2 x 3) = (4 x 6) = (b x g) = 24 equivalent outcomes
what is the mean .median ,mode of 2,3,4,3,2
Answer:
Step-by-step explanation:
mean = total / amount of numbers
= 15/5 = 3
median = 4 middle number
mode = most common numbers = 3,2
Plz help and show me how to solve these questions
since -15/16 is a negative number, we can add both sides by 15/16 or subtract both sides by -15/16. Either way works.
p = 1/8 + 15/16
Use common denominator, which is 16:
p = 1(2)/8(2) + 15/16
p = 2/16 + 15/16
p = 17/16
17/16 is an improper fraction. If you want to use a mixed number for your answer, then:
17/16 becomes 1 1/16 (one and one-sixteenth, with 1 being a whole number and 1/16 being a fraction)
Answer: 17/16 or 1 1/16Can yall help im mentally slower than the average human
Answer:
I think it would be 216cm
Step-by-step explanation:
how I got this answer?:
cubes are mostly the same in all sides due to all the sides being equal
A bag contains 36 red balloons, 40 blue balloons, and 24 purple balloons. Find the probability of NOT choosing a purple balloon.
Group of answer choices
A 3/4
B 76%
C 0.25
D 24%
I WILL MAKE YOU BRAINLIEST FOR THE FIRST ONE TO SOLVE THIS FOR ME!!!
Which number is larger, A or B? Write more than a sentence to explain your reasoning.
(A) 9.675 x 10^24
(B) 1.109 x 10^28
Answer:
the answer is B
Step-by-step explanation:
when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28
True or false ??????
solve this equation x-24/8 = 2x+ 1/2
x =
Answer:
x= - 7/2
Step-by-step explanation:
Decimal Form: -3.5
Mixed Number Form: -3 1/2
What is the volume of a rectangular prism that measures 2 & 2/6 inches by 3 & 3/7 inches by 2 inches.
Answer:
16 inch³
Step-by-step explanation:
Given that :
Length = 2 2/6 = 14/6 inches
Width = 3 3/7 = 24 /7 inches
Height = 2
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume = (14/6) * (24/7) * 2
Volume = 16 inch³
Michael brought 2 gallons of lemonade for his class party. How many 1 cup servings does he have for his class? (1 gallon = 16 cups) *
In 2011 a sweatshirt cost $20 and in 2012 the price increase to 25 what is the percent change
If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?
Answer:
[tex]25x^{2} -30x+10[/tex]
Step-by-step explanation:
Plug in 5x-3 into f(x) so
[tex](5x-3)^2 + 1 = 25x^2 -30x+10[/tex]
HELP I NEEEEEEEEEEEEEEEED HELP
Answer:
It's B
Step-by-step explanation:
A pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?
Answer:
(a + b) / n
Step-by-step explanation:
Pounds of apple in box = a
Pounds of plum in box = b
Number of boxes used in packing = n
The amount fruit in pounds that are in each box :
Total pound of fruits / number of boxes used
Total pounds of fruit = a + b
Number of boxes used = n
Hence, we have ;
(a + b) / n
A number b is increased by 6, and then the sum is doubled.
Answer:
2(b+6)
Step-by-step explanation:
Solve system by substitution.
−5x−7y=3
x+6y=−19
1. Write a multiplication equation and a division equation that this diagram could
represent.
54
18
18
18
Answer:
54 ÷ 18
18 x 3
Step-by-step explanation:
54 ÷ 18 is 3
and 18 x 3 is 54
We can write the multiplication expression and a division expression as
(54 ÷ 18)(18 x 18)What is multiplication and division?In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. Division is the process of splitting a number or an amount into equal partsGiven are the numbers as 54, 18, 18, 18.
We can write the multiplication expression and a division expression as-
(54 ÷ 18)
(18 x 18)
Therefore, we can write the multiplication expression and a division expression as
(54 ÷ 18)(18 x 18)To solve more questions on multiplication and division, visit the link below -
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PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 6 inches and g = 8 inches, what is h
Answer:
I put the answer as a picture because it wouldn't let me write out the equations and use some characters :(
Step-by-step explanation:
Hopefully this helped :))
Evaluate the expression below when x = 2/3 and y = 4
3x + 9y
Answer: 38
Step-by-step explanation:
3 (2/3) +(9)(4)
3 (2/3) +(9)(4) Again=38
If I Helped Please Mark Me As Brainliest, Have A Great Day :D
Emila bought 3 2/3 kilogram of sugar on wednesday she bought 3/10 kilograms of sugar less on Thursday. How uch sugar did she buy on Thursday?
Answer:
[tex]1\frac{7}{10}[/tex] kg of sugar
Step-by-step explanation:
Amount of sugar on Wednesday: [tex]3\frac{2}{3}[/tex] kg
Convert the mixed number fraction to an improper fraction (multiply the whole number by the numerator)
[tex]3\frac{2}{3}[/tex] ⇒ [tex]\frac{6}{3}[/tex] ⇒ [tex]2[/tex]
Therefore, Emila bought 2 kg of sugar on Wednesday.
Because Emila bought [tex]\frac{3}{10}[/tex] kg less sugar on Thursday, subtract [tex]\frac{3}{10}[/tex] from [tex]2[/tex].
[tex]2-\frac{3}{10}[/tex]
Convert 2 into a fraction with 10 as the denominator
[tex]=\frac{20}{10} -\frac{3}{10}\\=\frac{17}{10}[/tex]
Convert the fraction into a mixed number
[tex]= 1\frac{7}{10}[/tex]
Therefore, Emila bought [tex]1\frac{7}{10}[/tex] kg of sugar on Thursday.
I hope this helps!
Nick plans to start a home-based business producing and selling gourmet dog treats. He figures it will cost $20 in operating costs per week plus $0.50 to produce each treat. He plans to see each treat for $1.50. Graph y=0.5x+20 and y=1.5x to represent the situation
Answer: Nick needs to sell 20 treats to break even.
A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in one sweep. Round to the nearest whole number.
Answer:
The distance in one sweep is 100 cm approximately
Step-by-step explanation:
Here, we want to calculate the distance the wiper covers in one sweep
Mathematically;
we have a structure like an arc of a circle. It is the length of this arc we want to calculate.
The formula for the length of an arc is;
theta/360 * 2 * pi * r
r is the radius which in this case is 50 cm
We have ;
115/360 * 2 * 3.1412 * 50 = 100 cm approximately
Laura borrowed $40,500 at 3% for 10 years. what was the total interest?
Answer:
$12,150
Step-by-step explanation:
I = Prt
I = (40500)(0.03)(10)
I = 12150
If the zeroes of a quadratic function, G, are 4 and -2, what is the equation of the axis of symmetry of G
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The axis of symmetry is the vertical line halfway between the zeros.
x = (4 -2)/2
x = 1 . . . equation of axis of symmetry
Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?
Answer:
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
Step-by-step explanation:
Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:
[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)
This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:
Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given functions;
f(x) = ln(x + 5) – 1
g(x) = x³ – 2x + 1
After graphing both the function, we get the three solutions of the given equation,
[tex]\rm \left(-1.577,0.223\right)[/tex]
[tex]\left(0.18,0.645\right)[/tex]
[tex]\left(1.376,0.853\right)[/tex]
Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
To learn more about the function, refer to:
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please i need help!! i’ll put brainliest and 30 points.
Two shipping companies charge different amounts to mail packages. UPS charges
an initial $5 fee, and each pound shipped is an additional $1. Fed Ex charges an
initial $3 fee, and $1.50 for each pound shipped.
a.) How much would each company charge to mail a package weighing 2
pounds?
b.) For what weight package will the two companies charge the same amount?
c.) Which company charges less for a 6-pound package? How much will you
save by choosing this company to ship your 6-pound package?
Answer:
A. UPS- $7 Fed Ex- $6
B. 4 pounds
C. UPS by one dollar
Step-by-step explanation:
pls help me ALAP ,in the class there are 48 students. the number of girls is 3 times the number of boys .how many boys and how many girls are there in the class
Answer:
Number of boys = 12
Number of girls = 36
Step-by-step explanation:
Number of boys = x
Number of girls = 3*x = 3x
Total students = 48
x + 3x = 48
4x = 48
x = 48/4
x = 12
Number of boys = 12
Number of girls = 3*12 = 36