Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?

Answers

Answer 1

The number of the different ways could the students sit with a partner during the awards ceremony will be 24.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Four seventh-grade students won awards.

Then the number of the different ways could the students sit with a partner during the awards ceremony will be

P = 4!

P = 4 x 3 x 2 x 1

P = 24

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Related Questions


a. Does the height of the water increase by the same
amount each minute? Explain how you know.
minutes
height
0
150
SO
1
150.5
2
151
b. Does the height of the water increase by the same
factor each minute? Explain how you know.
3
151.5

Answers

From the table we can conclude that after 2 minutes the height of the water is increased by 4.

Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)

This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.

The following statement best describes how the slope relates to the height of the water in the pool:

The height of the water increases 2 inches per minute.

what is the essence of calculus?
*friendship​

Answers

Differential Calculus, or Differentiation

If we have a function of one variable, ie of the form [tex]y=f(x)[/tex], then in its most basic form differentiation is the study of how a small change in one variable [tex]x[/tex] affects the other variable [tex]y[/tex].

As an real life example, consider the average speed of a moving car:

average speed = distance travelled/ time taken

Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.

Similarly if we wanted to find the gradient of the tangent to a curve at some particular point [tex]A[/tex] we would estimate the gradient by using a chord to a nearby point [tex]B[/tex]. As we move this nearby point [tex]B[/tex]  closer to the tangent point [tex]A[/tex] the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point [tex]B[/tex] infinitesimally close to the point [tex]A[/tex] o that we can calculate the actual gradient of the tangent.

Integral Calculus, or Integration

Suppose we wanted to calculate the area under a curve, [tex]y=f(x)[/tex],  bounded the [tex]x[/tex] =axis, and two points [tex]a[/tex] and [tex]b.[/tex] We could start by splitting the interval  [tex][a,b][/tex]  into [tex]n[/tex] regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase [tex]n[/tex] then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.

The Fundamental Theorem of Calculus

Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.

Visual for  Fundamental Theorem of Calculus for integrals:

[tex]\int\limits^b_af {(x)} \, dx =F(b)-F(a).[/tex]

where F is an antiderivative of [tex]f[/tex]

Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.

Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.

All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.

Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.

Answer:

so what i think is that *friendship​Step-by-step explanation:

Which equation represents the transformed function below? on a coordinate plane, a parent function starts at (0, negative 1) and then curves up into quadrant 1 and approaches y = 1. a transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6. _____ = parent function; y = log x - - - - - = transformed function y = log x 5 y = log x minus 5 y = log (x 5) y = log (x minus 5)

Answers

The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,

y=logx

A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.

y=logx +5

Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

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Answer:

yeah its a

Step-by-step explanation:

yw

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

y=3x+7

Step-by-step explanation:

take two points, (1,13) (2,19)

subtract using slope formula

19-13 2-1= 6/1 -> 6-> 3

find your y intercept (b) by using the first term in the 7 row (7)

Answer:

y = 3x +

Step-by-step explanation:

The equation of the line is given by:

----------------------------

The equation of a line, in slope-intercept formula, has the following format:

In which

m is the slope, that is, how much y changes when x changes by 1.

b is the y-intercept, that is, the value of y when x = 0.

----------------------------

Given two points (x,y), the slope is the change in y divided by the change in x.

We have points (-1, -1) and (3,11). Thus:

Then

----------------------------

Point (-1,-1) means that when , and we use this to find b.

Thus

A similar problem is given at brainly.com/question/13251894

Still stuck? Get 1-on-1 help from an expert tutor now.

What is the sum of the angles in the image? 154° 106° 144° 164°

Answers

Answer:

154

Step-by-step explanation:

130 + 24 = 154

Vertical angles are congruent. Find the measure of angle x. X 38 o x = = [?]​

Answers

Answer:

x=38 degrees

Step-by-step explanation:

Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees

What is the median of the data?
20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
18
15
O 17
016

Answers

median = the middle number {always remember this}.

To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).

so we are given :

20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .

we rearrange in ascending order (I chose ascending order).

Soo...

13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.

so we cancel out (we cancel out left number, right number)

I mean

cancel out 13, cancel out 23

cancel out 15, cancel out 22

cancel out 15, cancel out 20 and so on.....

after that we will be left with 2 numbers which are 17 and 17.

NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)

so...

17 + 17 = 34

34/2 = 17.

the median of the set of numbers is equal to 17.

Hope this helps.

Good luck ✅.

What is the probability of drawing a spade from a standard deck of cards or a
7?

Answers

The probability of drawing a spade is 13/52 = 1/4

Because every hand has 13 cards and there is 52 cards in a deck

The probability of drawing a 7 is 4/52 or 1/13

Because there are seven 7 cards in a deck and 52 cards.

Please Help me Its a math problem see image attached

Answers

Answer:

C. - 3

Step-by-step explanation:

Average rate of change within an interval is the slope of the endpoints.

The endpoints are:

(- 1, 6) and (0, 3)

The slope is

(3 - 6)/(0 - (-1)) = - 3/1 = - 3

Correct choice is C

Answer: -3

--

To find the Average rate of change within an interval use the slope of the endpoints.

(- 1, 6) and (0, 3)

The slope is

[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]

Hope this helps!

Put this equation into slope-
intercept form.
5x – 4y = 12

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

Which two answer choices below would give you a value of 4 times smaller than (20 x 100)? A) (20 x 100) 4 B) 204 x 100 C) 20 - 25 D) 5 x 25​

Answers

The option (C)  20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, —, ×, and ÷.

We have:

= (20 x 100)

= 2000

4 times smaller will be:

=2000/4

= 500

A) (20×100) 4 = 4000

B) 204×100 = 20400

C) 20 – 25 = -5

D) 5×25​ = 100

-5 < 500

100 < 500

Thus, the option (C)  20 – 25, and option (D) 5×25 are 4 times smaller than (20 × 100) option (C) and (D) are correct.

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Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.

Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?

Select the correct choice.



A.) YES

B.) NO

Answers

No. The warning light will come on.

14/0.6 = 23.34 days only
Another method: 0.6 gallons • 25 days = 15 gallons needed for the journey of 25 days.

evaluate the following if x = 2, y = -1 and z = 5.
a) xz + 1 b) 4x + y c) x - 2yz d) x(y + z) e) x² - 3z

simplify the following:
a) 2 x 4n b) 3x X 2y c) 8a ÷ 2 d) [tex]\frac{4^{2}y }{12x}[/tex]

simplify by collecting like terms:
a) 2b + 4b + b b) 6x + 3 - 2x c) 4p - 3q - p + 5q d) 3mn + 2m - 6mn +n

expand and simplify the following:
a) 2(x + 7) b) -3(2x + 5) c) 2x(3x - 4) d) -2a(5 - 4a) e) 4(x +2) + 5 f) 3(x - 2) - 1

Answers

Answer: please mark as brainliest

Step-by-step explanation: a) xz+1 = 2 x 5 + 1 = 11

b) 4x+y = 4 x 2 + (-1) = 7

c) 2 - 2 x -1 x 5= 12

d) 2(-1 + 5) = 2 x 4= 8

e) 2sq - 3 x 5= 4 - 15= -11

Please help BRAINLIEST FOR RIGHT ANSWER

Answers

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Why is 10^15/10^4 equal to 10^11

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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Which of the following best describes a triangle with one right angle and two congruent sides

Answers

Answer:

isosceles triangle

The speed of light in a vacuum is 29,980,000,000
centimeters per second. In scientific notation, this
number is written as
A. 2.998 x 10⁹.
B. 2.998 x10¹0.
C.
29.98 x 10⁹.
D. 29.98 x10¹0.

Answers

Answer:

[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]

Step-by-step explanation:

Given number:

29,980,000,000

Rules:

Move the decimal point after the first non-zero digit. (after 2)Here, we will move the decimal point 10 places to the left to move it after the first non-zero digit.Since we move the decimal point 10 places, we will write the number as a multiple of 10¹⁰ (10 being the exponent).

The number will become:

2.998 × 10¹⁰

[tex]\rule[225]{225}{2}[/tex]

Answer:

B. 2.998 x 10¹⁰

Step-by-step explanation:

Given :

29,980,000,000

Steps in solving :

Take the zeros after the last non-zero digit as a power of 10.Take the non-zero part (in the part) and put a decimal point after between the thousands and hundreds place, and shift the remaining powers of 10 to the previously grouped part.Adjust further if needed to match an answer.

Solving :

29,980,000,0002,998 x 10⁷2.998 x 10³ x 10⁷2.998 x 10¹⁰

The side lengths of the equilateral triangle pictured are each 12 cm. What is the circumference of the larger circle? Round your answer to the nearest 100th.

Answers

all of the sides time 14

Please help with question with explanations. Ty.

Answers

Answer:

last option is correct answer

Step-by-step explanation:

[tex]perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16} [/tex]

PLEASE HELP!!! 31 POINTS



What is the volume of this rectangular prism?


26 cubic feet


35 cubic feet


50 cubic feet


105 cubic feet

Answers

Answer: Choice D

Work Shown:

Volume = length*width*height

Volume = 3*7*5

Volume = 105 cubic feet

length × breadth × height

7 × 3 × 5

105 cubic feet

hope it helps...!!!

Pls help]ppppppppp me

Answers

Answer:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

a.

2x² -  11x + 12 = (2x - 3)(x - 4)

b.

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

c.

P = 2L + 2W = 2(17) + 2(6) = 46

Help me please help me

Answers

Answer:

3/10

Step-by-step explanation:

Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10

Find the volume of the solid :)

Answers

answer key

78.4

Step-by-step explanation:

Multiply 7 x 4 =28

Then Multiply  28 x 2.8 = 78.4

That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞  hope that helps out

As inflation increases, it causes the money you earn today to have __________.

more value in the future

less value in the future

more purchasing power in the future

no purchasing power effect in the future

Answers

Answer:

less valuable

Step-by-step explanation:

it will be reduced when time goes by

Rand will deprecate

What two operations would you use to solve the equation b/2+5=-7

-multiplication
-addition
-subtraction
-division

Answers

okay so I simplified which got me
1/2b + 5 = -7
then subtracted 5 first
1/2b = -12
then multipled both sides by 2
b = -24
so subtraction and multiplication

Can someone please help me with b and C questions ​

Answers

Answer:

(b)  33919

(c)  8 ¹/₃

Step-by-step explanation:

⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)

                    = 300(100 + 7) + 10(100 + 7) + 7(100 + 7)

                    = 30000 + 2100 + 1000 + 70 + 700 + 49

                    = 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9

                    = 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9

                    = 30000 + 3000 + 800 + 110 + 9

                    = 30000 + 3000 + 800 + 100 + 10 + 9

                    = 30000 + 3000 + 900 + 10 + 9

                    = 33919

[tex]\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}[/tex]

Ou buy tomato sauce for $0.37 per ounce. one portion of potato gnocchi requires 3.5 ounces of tomato sauce. how much does the sauce for one portion cost? round to the nearest cent.

Answers

Answer:

  $1.30

Step-by-step explanation:

As with costs anywhere, you find the total cost by multiplying the unit cost by the number of units. Here, a unit is 1 ounce of tomato sauce. 3.5 units are used in the recipe. The unit cost is given as $0.37 per ounce.

__

  cost of sauce = (cost per ounce) × (number of ounces)

  = ($0.37) × 3.5 = $1.295

This rounds up to $1.30.

The sauce for one portion costs $1.30.

How many days were less than 84°?

Answers

Answer:

it has to be 7 days because the other degrees are higher than 84.

Step-by-step explanation:

80 - 82 = 7 days

What are the solutions to the equation x2 − 1 = 399? a. b. c. d.

Answers

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20

Solution to the system of equations

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.

Given the expression

x^2 - 1 = 399

Add 1 to both sides

x^2 = 399 + 1

x^2. = 400

Take the square root of both sides

x = ±√400
x = ±20

Hence the solution to the given quadratic equation are -20 and 20

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Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

A. j / k = j / i

B. i / j = h / k

C. h / i = h / k

D. k / i = j / i

Answers

Based on the triangle proportionality theorem, the true proportion regarding the figure is: B. i/j = h/k

What is the Triangle Proportionality Theorem?

The triangle proportionality theorem states that when two sides of a triangle is intersected by a line that is parallel to the third side of a triangle, the two sides intersected are therefore divided in the same ratio.

TU is parallel to QR. Therefore, based on the triangle proportionality theorem, TU will divide QS and RS in the following ratio: B. i/j = h/k

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