Help me solve this please

Help Me Solve This Please

Answers

Answer 1

Answer:

56

Step-by-step explanation:

[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]


Related Questions

4.
908 ÷ 10 Power of 5
0.908
90.800,000
9.08
0.00908

Answers

Answer:

0.00908 is the answer...

3. Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven,
respectively.

Answers

A numeral exists a sign, combination of symbols, or figure that represents a number.

142 in base 5 means [tex]$1\left(5^2\right)+4\left(5^1\right)+2\left(5^0\right)[/tex] = 25 + 20 + 2 = 47

11011 in base 2 means [tex]$1\left(2^4\right)+1\left(2^3\right)+0\left(2^2\right)+1\left(2^1\right)+1\left(2^0\right)[/tex]= 27π

39 T in base 12 means [tex]$3\left(12^2\right)+9\left(12^1\right)+10\left(12^0\right)[/tex] = 550

What is meant by numeral?

A numeral is a sign, combination of symbols, or figure that represents a number. It can be a mathematical numbering system.

A numeral's value is determined by the number it represents. All modern numbers cannot be represented by all number systems; Roman numerals, for instance, do not have a zero. A numeral system should, in theory, be able to: Represent a useful set of numbers (e.g. all integers, or rational numbers).

The correct answer is as follows:

142 in base 5 means [tex]$1\left(5^2\right)+4\left(5^1\right)+2\left(5^0\right)[/tex] = 25 + 20 + 2 = 47

11011 in base 2 means [tex]$1\left(2^4\right)+1\left(2^3\right)+0\left(2^2\right)+1\left(2^1\right)+1\left(2^0\right)[/tex]= 27π

39 T in base 12 means [tex]$3\left(12^2\right)+9\left(12^1\right)+10\left(12^0\right)[/tex] = 550

The complete question is:

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​eleven, respectively.

a. 142five

b. 11011two

c. 39Ttwelth

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Jeremy invests $8,500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in this account after 6 years?

Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

Answers

Answer:

9812.29

Step-by-step explanation:

Using the compound interest formula,

[tex]8500 \left(1+\frac{0.024}{4} \right)^{(6)(4)} \approx 9812.29[/tex]

after school, a group of students decides to have a snowball fight. with 2 students on a team, they can make 6 snowballs per minute. with 10 students on a team, they can make 30 snowballs per minute. what is the slope in this situation?

Answers

Based on the calculations using the given points, the slope in this situation is equal to 5.

What is a slope?

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope = (30 - 10)/6 - 2)

Slope = 20/4

Slope = 5.

In conclusion, the slope of the line that passes through the given points is equal to 5.

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Given m/8= 86° and m/4= (4x + 2)°, what is the value of x ?
X =

Answers

Bring the variable to the left and the remaining values to the right to define the value of x. If m/8 = 86° and m/4 = (4x + 2)° then value of  x = 21.

How to find the value of x?

Any of the algebraic expressions, including addition, subtraction, multiplication, and division, should be used. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

Let the m/8 = 86° and m/4 = (4x + 2)°

m ∠4 = m ∠8 (Corresponding angles are equal)

To estimate the value of x

4x + 2 = 86

Substracting both sides of the equation by 2, we get

4x + 2 - 2 = 86 - 2

simplifying the above equation,

4x = 86 - 2

4x = 84

Dividing both sides of the equation by 4, we get

4x / 4 = 84 / 4

x = 21

Therefore, the value of x = 21.

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In a lottery game, a player picks six numbers from 1 to 21. if the player matches all six numbers they win 50,000 dollars otherwise they lose $1

Answers

Your best option is to simply choose six distinct numbers, in any sequence. You would win if those six numbers matched the six that the lottery officials chose (again, in any sequence).

The likelihood of selecting the correct six numbers is one in

[tex]\frac{23}{6}[/tex] = [tex]\frac{23}{6(23-6)}[/tex] = [tex]\frac{23.22.21.20.19.18}{1.2.3.4.5.6}[/tex] = 100974

Therefore, 100946/100947, or a probability of losing, is very near to 1.

The total of your payouts multiplied by the probability that each scenario will occur is the anticipated value of the game. which is

(50,000) [tex]\frac{1}{100947}[/tex] + (-1) [tex]\frac{100946}{100947}[/tex] = [tex]\frac{50000-100946}{100947}[/tex] = -0.5046

You will typically break even if its value is 0. You should play the game if it is more than zero because you will typically win, and you shouldn't play it if it is less than zero because you will typically lose. The payoff is decently substantial for this, however the typical player loses just over 70 cents per round. Almost every player loses a complete dollar.

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If 1 x 10^a + 2 x 10^b + 3 x 10^c + 4 x 10^d = 24130 and a≠b≠c≠d, then what does a/2 + b/4 + c/8 + d/16 equal?

Answers

Question 1

Using scientific notation, we know a=2, b=4, c=1, and d=3. So,

[tex]\frac{a}{2}+\frac{b}{4}+\frac{c}{8}+\frac{d}{16}=1+1+\frac{1}{8}+\frac{3}{16}=37/16[/tex]

Question 2

[tex]a+13b=3(3a-b)\\\\a+13b=9a-3b\\\\16b=8a\\\\a=2b\\\\\therefore \frac{a^3}{b^3}=\frac{(2b)^3}{b^3}=\frac{8b^3}{b^3}=8[/tex]

If y = 2cos(lnx). + 3sin(Inx) then Select one: 0 dy a 22 dy +r +y = 0 dx dx2 d'y x2 dy +2 dr2 dr y=0 o x2d²y dy dx + y To dx2 day 22 dy dr -y=0 dr2

Answers

Solution

Given

[tex]y=2\cos(\ln x)+3\sin(\ln x)[/tex][tex]\begin{gathered} \frac{dy}{dx}=\frac{-2}{x}\sin(\ln x)+\frac{3}{x}\cos(\ln x) \\ \\ \end{gathered}[/tex]

You have a combination lock
with 3 secret digits. Find the 3
correct digits using the
following clues and enter your
answer below.
127 One digit is right and in its place
138 One digit is right, but in the wrong place
791
Two digits are right but both are in the
wrong place
452 All digits are wrong
8
529 One digit is right, but in the wrong place

Answers

Answer:

  987

Step-by-step explanation:

You want to determine a three-digit combination based on clues about which digits are right and/or correctly placed.

Clue 1

This tells you one of digits 1, 2, or 7 is correct and correctly placed.

Clue 2 tells you that digit is not 1. Clue 4 tells you that digit is not 2.

  7 is correctly placed as the 3rd digit

Clue 2

We already know that 1 is not the correct digit. This means 3 must be the first digit, or 8 must be the first or second digit.

Clue 3

We already know that 7 is a correct digit, properly placed as the 3rd digit. Since 1 is not a correct digit, 9 must be a correct digit, properly placed as the 1st digit.

  9 is correctly placed as the 1st digit

Combining this fact with Clue 2 means ...

  8 is correctly placed as the 2nd digit

The combination is 987.

__

Check

Clues 4 and 5 are consistent with this combination.

How is climate change altering the approach to sustainability and sustainable development?

Answers

Climate change is altering the approach to sustainability and sustainable development as a result in the disruption of the economy of the countries which are affected.

What is Climate change?

This is referred to as the long-term shifts in temperatures and weather patterns and are influenced by factors such as greenhouse gas emissions, solar cycle etc which affects the different factors.

Climate change will make people become poor due to the unfavorable working environment being it causes and therefore brings about a disruption in the economy as there will be a shift in focus which makes it the correct choice.

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Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may
apply.)
square root of -9
Select all descriptions that may apply.
A. Nonreal complex
B. Real
C. Pure imaginary
D. Complex

Answers

Answer:

acxdddhdhxhhh sax skskskkkkkddffffffrrkel sssddjeeeeerrjrrjtjjj

A passbook savings account has a rate of 10% Find the effective annual yield if the interest is compounded daily.

Answers

The effective annual yield if the interest is compounded daily is 10.5155 %.

The annual interest rate or rate of return that an investor is entitled to over a particular time period is known as effective annual yield.

​In the case of daily, there are 360 days in a year.

Therefore, making n = 360.

Therefore, the effective annual yield if the interest of 10% is compounded daily when r = 10 % and n = 360 will be:

Y = ( 1 + r/n )ⁿ - 1

Y = ( 1 + 0.1 / 360 )³⁶⁰ - 1

Y = ( 1 + 0.000277 )³⁶⁰ - 1

y = 1.105155 - 1

Y = 0.105155

However, since it is in decimal form, we must first multiply it by 100 before adding the symbol "%" after the last digit of the value.

Therefore,

Y = 0.105155 × 100%

Y = 10.5155 %

Therefore, the effective Annual Yield is 10.5155 %

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59 + 43.6 estimate the sum or difference

Answers

Answer:

Step-by-step explanation:

59+ 43.6

43.6=44.0

59+44

59+43.6

=103.0

T 4 Account 1 point Which trig function should Sharlot use to find the measure of angle A ? C Pashboard 5 Courses 1 1 A B 12 Calendar 2 O sine 49 cosine Inbox 3 tangent O History 4 pythagorean theorem o

Answers

In the given triangle we have :

Base line with angle A, and the Hypotenuse of angle A

Since the ratio of Base to the hypotenuse is the Cosine trignometric ratio:

[tex]\text{Cos}\theta=\frac{Base}{Hypotenuse}[/tex]

Answer : Cosine

1&4/5 on a number line

Answers

We can begin by converting 1 4/5 to a decimal. As a decimal, 1 4/5 converts to 1.8 or 1.80. On a number line, 1 4/5 would be between 1 and 2 whole, but swayed further toward 2.


A committee has fourteen members. There are two members that currently serve as the board's chairman
and ranking member. Each member is equally likely to serve in any of the positions. Two members are
randomly selected and assigned to be the new chairman and ranking member. What is the probability of
randomly selecting the two members who currently hold the positions of chairman and ranking member and
reassigning them to their current positions?
...

Answers

Probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

As given,

Total members in the committee=14

Number of members serve as chairman and ranking member=2

Total number of ways to assigned new position

=¹⁴P₂

=(14!) / (14-2)!

=(14 × 13 × 12!) / 12!

=14 ×13

=182

Each member is equally likely to serve in any of positions.

Each position there is only one way to reassign position.

Probability of randomly selecting two members = 1 /182

Therefore, probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

74.52

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52[/tex]

The functions f and g are defined as follows.
f (x) = 4x - 3 g (x) = -3x^2 - 2
Find f (-4) and g (3)/
Simplify your answers as much as possible.

Answers

Answer: [tex]f(-4)=-19, g(3)=-29[/tex]

Step-by-step explanation:

[tex]f(-4)=4(-4)-3=-19\\\\g(3)=-3(3)^2 -2=-29[/tex]

Which function, g or h, is the inverse function for function f? CHECK PHOTO

Answers

Answer: The function g because the graphs of f and g are symmetrical about the line y=x.

Answer:

A. The function g because the graphs of f and g are symmetrical about the line y=x.

Step-by-step explanation:

The house that David bills for his cat cat is a cube with an edge length of 4 ft to how to use the volume formula V equals x exponent 3 find the volume of the house

Answers

The volume of house built by David for cat is 64 ft³.

Firstly representing the mentioned statement about volume as mathematical expression. Exponent is the power of variable or constant. So, volume = x³, where x is the edge length.

As the edge length of house of car is given, we will keep the value in formula to find the volume of house.

V = 4³

Taking cube of the value on Right Hand Side of the equation

V = 4×4×4

Performing multiplication on Right Hand Side of the equation

V = 64 ft³

Thus, the volume of the house of cat is 64 ft³.

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4 = 4(k − 15) hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

distribute the 4 to the k and -15 so you get 4=4k-60 then add the 60 to the other 4 so its 64=4k then divide 4 to 64 and your answer is 16

Step-by-step explanation:

[tex]4=4k-60\\4k-60=4\\4k=4+60\\4k=64\\\frac{4k}{4} =\frac{64}{4} \\k=16[/tex]

As solved above k=16

Write an expression that is equivalent to 8 using each of the following numbers and symbols once in the expression.

Answers

optionsWe want to obtain an expression equivalent to 8 using these symbols and numbers.

The option that exactly matches this is,

[tex](7\text{ }\frac{.}{.}7)^2+7[/tex]

That is because,

7 divided by 7 is 1.

1 squared is still one, and;

1 added to 7 is 8.

So one answer is option D.

We also have another answer.

Which is;

[tex](7+7^2)\frac{.}{.}7[/tex]

That's because 7 squared is 49, and 7 + 49 is 56.

56 divided by 7 is 8.

So our answers are option C and option D

Determine a bank account balance if the account starts with $300 has a annual rate of %4 what is the money in the account after 10 years

Answers

Answer:420

Step-by-step explanation: multiply 300 times 4% =12. Then multiply 12 times 10=120. Then add 300 and 120=420

Translate this sentence into an equation.
Carlos's height decreased by 7 is 62
Use the variable c to represent Carlos's height

Answers

c - 7 = 62. you subtract carlos’ height, “c” by 7, because it says decreased.

Pls help with this !!!

Answers

The given graph shown in the image is a function, Option b is correct.

Given that,
A graph is shown, and we have to determine whether the graph shown is a function or not.

what is an exponential function?

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
The graph shows of a curve representing an exponential function,

There is why the graph shown is a function, and also the graph is continuous and as well as differentiable.

Thus, the given graph shown in the image is a function, Option b is correct.

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Graph the polynomial function. Note x- and y-intercepts, multiplicity, and end behavior.h(x) = (x − 1)3(x + 2)2

Answers

Given:

[tex]h\left(x\right)=\left(x-1\right)^3\left(x+2\right)^2[/tex]

To graph the given polynomial function, we can plug in any values of x to find values of h(x). The graph is shown below:

We also note that the x-intercept is the point on the x-axis, while the y-intercept is the point on the y-axis. Hence,

x-intercepts: (1,0), (-2,0)

y-intercept: (0,-4)

Tt can also be noted that (x − 1) occurs 3 times while (x+2) occurs 2 times. Hence, x=1 has a multiplicity 3, while x=-2 has a multiplicity 2.

aased on the graph, the end behavior would be:

[tex]as\text{ x}\rightarrow+\infty,h(x)\rightarrow+\infty,\text{ and as x}\rightarrow-\infty,h(x)\rightarrow-\infty[/tex]

equation of the line that passes through the point (1, -1) & is parallel to the graph of y = 3/5x + 2?

Answers

Equation is 5y = 3x + 8.

What is slope?

Slope is the inclination of a line with respect to the horizontal is measured numerically. The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line, ray, or segment. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Given Data

line that passes through the point (1, -1) &

is parallel to the graph of y = 3/5x + 2

y = mx + c

y = [tex]\frac{3}{5}[/tex]x + 2

m = [tex]\frac{3}{5}[/tex]

Equating points,

-1 = [tex]\frac{3}{5}[/tex](1) + c

-1 = [tex]\frac{3}{5}[/tex] + c

-1 - [tex]\frac{3}{5}[/tex] = c

[tex]\frac{-5-3}{5}[/tex] = c

[tex]\frac{-8}{5}[/tex]

Equation-

y = [tex]\frac{3}{5}[/tex]x + [tex]\frac{8}{5}[/tex]

5y = 3x + 8

Equation is 5y = 3x + 8.

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Let u = (1, −1, 3, 5) and v = (2, 1, 0, −3). Find scalars a and
b so that au + bv = (1, −4, 9, 18).

Answers

The value of the scalars a = 3 , and b = -1  .

In the question ,

it is given that

u = (1, −1, 3, 5) and v = (2, 1, 0, −3)

and the equation au + bv = (1, −4, 9, 18)

Substituting the first value of u that is u=1 and substituting the first value of v that is v=2 ,

we get a+2b=1     ....(i)

Now , Substituting the second value of u that is u= -1 and substituting the second value of v that is v=1 ,

we get -a+b= -4      ...(ii)

Solving the equations (i) and (ii)

Adding both the equations we get

a-a+2b+b=1-4

3b= -3

b= -1

a+2b=1

put b= -1

a+2(-1)=1

a-2=1

a=3.

Therefore , the value of the scalars a = 3 , and b = -1  .

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The Pythagorean Identity is sin^2x+cos^2x=1. Write this equation two other ways.​

Answers

[tex]\sin^2 x=1-\cos^2 x \\ \\ \cos^2 x=1-\sin^2 x[/tex]

What is (-5,2); m=2/5 in standard form?

Answers

The standard form of the straight line is given by 5y - 2x = 20 .

Ax + By = C is the standard form for two-variable linear equations.

Standard form is used, for instance, in the linear equation 6x+5y=11. This method makes finding an equation's two intercepts very simple (x and y) .Y = mx + c is the cartesian equation for a straight line, where m denotes the gradient of the line and c denotes the location of its y-axis intersection.An infinitely long object without any width, depth, or curvature is a line. Since they can exist in two, three, or higher dimensions, lines are one-dimensional objects.

We know that when a straight line passes through (a,b) with slope m then the equation of the line is given by:

y - b = m ( x - a )

putting the values in the respective places we get:

y - 2 = 2/5 × ( x + 5 )

or, 5y - 10 = 2x + 10

or , 5y - 2x = 20

Hence the standard form of the straight line is given by

5y - 2x = 20 .

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