(ross p1.15) consider a group of 20 people. if everyone shakes hands with everyone else, how many handshakes take place?

Answer:

5

Step-by-step explanation:

If you put this in a calculator it comes back with 4.79583... decimals forever.  Rounding to the nearest integer gives 5.

Answer:

5

Step-by-step explanation:

√23 : 4.795831523 whose nearest integer is 5 .

Hence, the nearest number is 5.

a) Positive b)   Degree per minute    c) Interpretation of f'(20)=2

So as we have we are given in the question: T = f(t)

where T is the temperature in degrees Fahrenheit of a cold yam placed in a hot oven and t is the time in minutes since the yam was put in the oven .f'(t) will represent the rate of change in temperature.

f'(t) will represent the change in temperature of yam when 1 minute has passed since it was kept in oven.

Since the temperature will always increase in oven, f'(t) will have a positive sign. units of f'(20)Since, f'(t) represent the rate of change in temperature. the unit will be degrees Fahrenheit per minute .f'(20)=2f'(20) will tell the change in temperature when 20 minutes have passed after the yam has been kept in oven .Thus, the given statement means that 20 minutes after the yam was kept for  in the oven, the temperature of yam was increasing by 2 degree Fahrenheit per minute.

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x2 − 10x − 24 x 2 - 10 x - 24 this expression is equivalent to x² 10x 24 (x 1)(x 24) (x 4)(x 6)(x 2)(x 12)(x 3)(x 8).

A logarithmic articulation is a numerical expression that incorporates factors, constants, coefficients, and mathematical tasks. To increase two logarithmic articulations, we duplicate each term of the main articulation with each term of the subsequent articulation and join every one of the items. In a mathematical articulation, a term might comprise of a steady, one variable, a result of at least two factors, a result of both the variable and consistent part. Moreover, the mathematical terms can be both positive and negative. There are significantly three sorts of mathematical articulations.

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Answer: the first table with all 2s as its y values

Step-by-step explanation: the first table shows that no matter what the x value is, the graph is staying still at y=2. Its rise/run is 0 since it is not rising at all.

Answer:

The first column of the first chart due to the repetition of the numbers! hope this helps!

Answer:

D

Step-by-step explanation:

It looks line you are asking for the slope.  The slope is the change in y over the change in x

Ordered pairs are writing in the from (x,y)  The first number is the x value and the second number is the y value.

[tex]\frac{0 - (-13)}{-8 - (-2)}[/tex]  I am subtracting the y's on the top and the x's on the bottom.

[tex]\frac{0 + 13}{-8 + 2}[/tex]  Subtracting a negative is the same as adding a positive.

[tex]\frac{13}{-6}[/tex]   The fraction is negative, so the negative sign can go on the top or the bottom.

The equation of the square root function is g(x) = √(x - 1) + 3

A square root function is represented as

f(x) = √x

The transformation rule is given as

Shifted up 3 units and right 1 unit

This can be represented as

(x - 1, y + 3)

So, we have

g(x) = f(x - 1) + 3

This gives

g(x) = √(x - 1) + 3

From the question, we have

It contains the point (5,7).

This means that

g(5) = 7

So, we have

g(5) = √(5 - 1) + 3

Evaluate

g(5) = 7

Hence, the equation of the square root function is g(x) = √(x - 1) + 3

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By using differential equations' concept, we get that there is no sugar in the beginning.

A differential equation is an equation that connects the derivatives of one or more unknown functions.

Given:

Pure water = 2840 litres

sugar = 0.01kg per liter

Rate of sugar entering the tank = 4liter/min

New solution drains out at the rate = 4 litre/min

To find: sugar in the beginning.

Finding:

(a) In the beginning, the tank contains only pure water and no solution of water with sugar.

Hence, the sugar is null for t = 0.

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Answer: -8 45/56

Step-by-step explanation:

The slope of the any line parallel to the line y-5 = 25/2(x+4)  is equal and its value is 25 /2 .

We have given equation y-5 = 25/2(x+4) .

On simplifying , we get

      y - 5 = 25 x/2 +50

       y = 25 x /2 +55

On comparing the above equation with slope intercept form y = mx + b ,

we get m = 25 / 2

All the lines which are parallel to any other line have equal slope.

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Since, the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.

According to the given question.

We have the vertices of a quadrilateral abcd such that a(1, 0), b(5, 0), c(7, 2) and d(3, 2).

As we know that, a parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length.

Since, we have to prove that the given quadrilateral is a parallelogram by using slope. From the definition of the parallelogram we can say that, the opposite sides of the parallelogram are parallel to each other.

Now,

slope of side ab = 0-0/(5 -1) = 0

slope of side dc = 2 -2/(3-7) = 0

slope of the side ad = 2 -0/(3 -1) = 1

slope of the side bc =  2 -0/(7 -5) = 1

Here, the slopes of the opposite sides ab and dc, and ad and bc are equals and we know that when the slope of two line are equals then the lines are parallel to each other.

Therefore,  the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.

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The force on the object will be 12 N.

We have a moving object.

We have to determine the force on object when the acceleration of the object becomes 2 m/s².

Force is necessary to bring around a change in the state of the body. Either from rest to motion or motion to rest. It can be calculated using the formula-

Force (F) = mass (m) x acceleration (a)

According to the question -

When a force of 42 N acts on the object, then using the formula of force -

F = m x a

42 = m x 7

m(Object) = 6 Kg

When the acceleration of the object becomes 2 m/s², then -

F = m(object) x a

F = 6 x 2 = 12 N

Hence, the force on the object will be 12 N.

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Answer: D=(8,10) Y=(-2,6) N=(2,-6) U=(-8,-5) G=(8,-11) O=(4,-5)

Step-by-step explanation:

On the coordinate plane, left or down means decreasing in value and right or up means increasing in value.

if you take a point and it's at (1,2) and translate it 3 to the left and 4 upwards, your new point would be (-2,6). This is because you subtracted(cause you were going left) 3 from 1 (cause it's your x value), and added(cause you were going up) 4 to 2 (cause it's your y value.)

= (-54)

Step-by-step explanation:

ATQ

4+2(x+6)^2

6(x^2+12x+216)=0 [ {a+b}^2 = a^2+2ab+b^2 ]

6x^2 +72x+216=0

Put the value of x=(-3)

So ,

6x^2 +72x+36=0

6(-3)^2+72(-3)+216=0

6×(-9)+72×(-3)+216=0

(-54)+(-216)+216=0

= -54

Hence, the solution is -54 at x=(-3).

Thank You

The required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

First, we have to determine the slope of the line y = 16 by placing it into a slope-intercept form:

y = 16

Therefore, the slope of the line is m = 0

Since the required line passes through the point at (-7, 43).

Let the line  (y - y₁) = m(x -x₁  )

Here x₁ = -7, y₁ = 43

Substitute the values in the equation,

So, y - (43) = 0(x-(-7))

⇒ y - 43  = 0

⇒ y  = 43

Hence, the required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).

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Answer: x = 36

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 36

Step-by-step explanation:

1/4 (x-8) =7

times both sides by 4

x-8=28

add 8 to both sides

x=36

Answer:

$14988.75

Step-by-step explanation:

15 x 25 = 375

375 x $39.97 = $14988.75

Answer:

$14988.75

Step-by-step explanation:

25x15 = 375

375 x 39.97 = $14988.75

Answer:

hi awaz are u in india server ?

Simple Interest can be defined as a method of calculating interest for a some principal amount over a period of time.

When we borrow money or take a loan , and when we pay back the loan some money is charged based in the amount borrowed and time period the loan is taken ,

that money charged is called as Simple Interest .

Simple Interest can be calculated using the formula

SI=(PxRxT)/100

where, P=principal   , R=rate of interest  , t=time taken

The main difference between the Simple Interest and Compound Interest is  the in Simple interest the principal is fixed whereas in Compound Interest the principal keeps on varying with time .

For Example : John borrowed $200 from Smith at 10% rate of interest for 5 years .

So the Simple Interest that John has to pay Smith will be

SI=(PxRxT)/100

SI=(200x10x5)/100

SI=10000/100

SI=$100

So apart from principal amount $200 John has to pay extra $100 as interest , Total John will be paying $300 to smith in return.

Therefore , Simple Interest is defined .

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Answer:

2(6x²+11xy−4y²)

Step-by-step explanation:

Factor 12x²+22xy−8y²

12x+22xy−8y²

=2(6x²+11xy−4y²)

Based on the points obtained from Ali and Habib in the game we can say that:

a. The difference between their scores is: 38.812

b. The estimate is not enough to find the winner

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

To calculate the difference between their scores we must perform the following subtraction:

Difference between their scores = Al's points - Habib's points

Difference between their scores = 43.901 - 5.089

Difference between their scores =38.812

Due to the difference between their scores is less than 40,000 points, it is not yet possible to define a winner.

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The standard normal variable for 3.7 is 0.67.

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Answer:

it is which of the following is a reactant

Step-by-step explanation:

The total kilowatt-hours of electricity used during these two years is (6.03 x 10^9)+(4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 using arithmetic operations.

Addition is the sum of two or more numbers or values to get a new number. The addition symbol is the plus sign (+).

Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.

Given that the use of electricity in the US in 1902 was 6. 03 x 10^9 kilowatt-hours and in 1950, it was 4. 3 x 10^11 kilowatt-hours.

To find the total kilowatt-hours of electricity used during these two years, we must add the kilowatt-hours of electricity used in 1902 and 1950.

6. 03 x 10^9 kilowatt-hours can also be written as 0.0603 x 10^11 kilowatt-hours.

This implies, (6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11)

= (0.0603+4)10^11

= 4.3603 x 10^11 kilowatt-hours

Therefore, the total kilowatt-hours of electricity used during these two years is 4.3603 x 10^11.

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If the number of checks are greater than 25, the Simple Checking plan cost​ less.

We have two checking account plans at Parson's bank.

We have to determine for what number of checks per month will the Simple Checking plan cost​ less.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Let for x number of checks per month the simple checking plan cost less.

For No frills plan -

Charge per check - $0.25

Therefore, for x checks, it will cost - $0.25x

For Simple Checking plan -

Fixed monthly charges - $5

Charges per check - $0.50

Therefore - for x checks - $5 + $0.50x

Now - for Simple Checking plan to cost​ less than No frills plan -

5 + 0.05x < 0.25x

5 < 0.25x - 0.05x

5 < 0.2x

x > 25

Hence, if the number of checks are greater than 25, the Simple Checking plan cost​ less.

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51

1530÷30=51

30x51=1530

Answer:

[tex]f(3) = \frac{2}{5} [/tex]

Step-by-step explanation:

f(x) = 4/5x - 2

f(3)=4/5(3)−2

f(3)=4/5(3)−2

f(3)=12/5+−2

f(3)=(12/5+−2)(Combine Like Terms)

f(3)=2/5