Determine P(c) using the remainder theorem.. (look at image)

A statement of inequality that correctly compares two numbers is: D. 6,365.1 < 6,365.999.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

In this scenario, a statement of inequality that correctly compares two numbers is 6,365.1 < 6,365.999.

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Answer:

look down

Step-by-step explanation:

let length be" x"

accroding to question

breadth= 2x/3

we know,

Area of rectangle= l × b

384=x × 2x/3

calculate

The correct simplification of (5a)(6b) is 30ab

(5 *a )* (6 * b)

= 5*6*a*b

30ab

In Maths, Algebra is one of the important branches. The concept of algebra is used to find unknown variables or unknown quantities. The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants. Algebraic expression is an expression that is built by the combination of integer constants and variables. For example, 4xy + 9, in this expression, x and y are variables, whereas 4 and 9 are constants. The value of an algebraic expression changes according to the value chosen for the variables of the expressions.

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Answer:

1.5 hour

Step-by-step explanation:

since 1 hour =70km . Then x hour =105 ÷70=1.5 hour

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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Answer:

Your answer is 8x+607

Step-by-step explanation:

well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

Answer:

\(\frac{11}{6} y\)  

Step-by-step explanation:

Since they all have y as the variable, you can simply add the coefficients (number in front of the variable) together. (y = 1y)

\(\frac{2}{3} + \frac{1}{6} + 1 = \frac{4}{6} + \frac{1}{6} + \frac{6}{6} = \frac{11}{6}\) or \(1\frac{5}{6}\)

Answer:

Outlier: Value that is extremely to the right or the left due to an external cause

For math: 1 is the outlier

Answer:

I am not 100% but I believe they are 1 and 6 if there are 2 answer options

Step-by-step explanation:

Answer:

Step-by-step explanation:

-Hope this helps!

Answer: x = 16

Step-by-step explanation:

To solve for x, add 5 and 11.

5 + 11 = 16

16 - 5 = 11

x = 16

Answer:

YES

Step-by-step explanation

it is just vocab words you probably have to study

Answer:

Step-by-step explanation:

y^2 -x^2=

y^2=9^2=81

x^2=2^2=4

81-4=77

To calculate the simple interest rate of the promissory note, we need to determine the total interest paid over the course of the 24 payments.

The total amount to be repaid is 24 x $56.25 = $1350.

The total interest paid is $1350 - $1250 = $100.

The simple interest rate can be calculated using the formula:

Simple Interest = (Total Interest / Principal) x (100 / Time)

where Principal is the amount borrowed, Time is the time period in years, and we multiply by 100 to express the interest rate as a percentage.

In this case, the Time period is 2 years (24 payments of 1 month each).

So, the simple interest rate is:

(100 / 1250) x (100 / 2) = 4%

Therefore, the answer is option (d) 4%.

The equation of a line parallel to y = 4x - 3 that passes through the point (3,13) is y = 4x + 1.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

The equation of the line is parallel to the line y = 4x - 3 and passes through the point (3,13).

Parallel lines have the same slope.

Hence,

m = 4

Let's find the y-intercept using (3, 13)

y = 4x + b

13 = 4(3) + b

b = 13 - 12

b = 1

Therefore, the equation of the line is y = 4x + 1.

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The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer:

See below.

Step-by-step explanation:

For a rational function, the equation is \(\displaystyle \large{f(x)=\frac{a}{b(x-c)}+d}\) where:-

We are given a function \(\displaystyle \large{f(x)=\frac{1}{x}-1}\) . Examine the function, we know that:-

Additional Info

  - Asymptote line is a line that the graph tends to approach but never intersects.

From the information we have, first - draw both vertical asymptote and horizontal asymptote to make it easier to draw a graph.

Then draw a rational function’s graph as it tends to 0 when x = 0 and -1 when x tends to both sides of infinity.

You should receive a graph below that I made, see the attachment. The purple line represents the horizontal asymptote and y-axis is our vertical asymptote.

If you have any questions, do not hesitate to ask in comment!

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

Answer:32: altitude

Step-by-step explanation:it just is

Answer:

7

Step-by-step explanation:

Imagine you have 5 apples and you get 2 more...

Have a splendiferous day...

Answer:

awww don't cry it's very easy

Answer:

( n x 2 ) - 3 = 5

n = 4

Step-by-step explanation:

The quotient (x) of a number (n) and 2 decreased (-) by 3 and the result (=) is 5.

( n x 2 ) - 3 = 5

Solve for n:

( n x 2 ) - 3 = 5

2n - 3 = 5

2n = 8

n = 4

Check:

( n x 2 ) - 3 = 5

( 4 x 2 ) - 3 = 5

8 - 3 = 5

5 = 5

Answer:1,2,3,5

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

all you have to do is get 70% of 30

70% of 30 is 21

Answer:

21 employees

Step-by-step explanation:

70% of 30 is 21

Since percentages are always over 100 we get 70/100

Start by multiplying 70/100 with 30:

(70/100)*30

and

(70*30)/100 =

Which gives you

21

here click on my files.com/3_& and it should give you the answer

Answer:

The width is 2.

Step-by-step explanation:

The equation is 2 x 3 x ? = 12.

It is 2 long

It is 3 in height

2 x 3 = 6

6 x 2 = 12

so 2 is the width.