Use deductive reasoning to tell whether each statement is true or false. If it is
false, give a counterexample.
22. For all real numbers a and b, a - b = -b + a.
23. For all real numbers p, q and r, p - 4-r=p-r-q.
24. For all real numbers x, y and z, (x + y) + z = z + (x + y).
25. For all real numbers m and n, m. n = n. m.​

Answer:

A square root of 80 m

Step-by-step explanation:

Answer:

A-  square root of 80 m

Step-by-step explanation:

we will do 4 power 2 becuse we have two four then plus 8 power 2 becuse we have two eight equall C power 2

[tex]4^{2} +8^{2}=C^{2}[/tex]

Then will be 80 equal C powe 2

[tex]80=C^{2}[/tex]

Then C will equall roots 80

[tex]\sqrt{80}m[/tex]

Answer:

I believe the answer is 16 weeks.

Step-by-step explanation:

Sorry for the wait

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

Answer:

The value of X1 is -5, X2 is +5.

Answer:

Step-by-step explanation:

P = 300 (2015-2010) + 6,000  

P = 300(5) + 7,000 = 7 ,5 0 0

The number of restaurants prediction for 2015 is:

 R = 5(2015-2010) + 45

 R = 5(5) + 45   = 70

So per person, there would be:

70 Restaurants for 7,500 People that is:  70/7500

or 0.00933333333 which is 0.01 in nearest unit restaurants per person ←

per restaurant, there would be:  7500/70

or 107.14 in persons per restaurant

Answer:

The seat no of a plane is 2

Answer:

B

Step-by-step explanation:

Answer:

-2.5 + 3.5 n

Answer:

33.4 cm

Step-by-step explanation:

Given:

θ = 31°

Arc length of PR = 9 cm

Required:

Diameter

Solution:

Diameter of the circle = 2*radiius = 2*PQl

Arc length = θ/360 × 2πr

Plug in the values into the equation

9 = 31/360 × 2πr

9 = 0.54r

9/0.54 = r

16.6666667 = r

r = 16.7 cm

Radius = 16.7 cm

Therefore,

Diameter = 2*radius = 2*16.7 = 33.4 cm

The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

It is defined as a three-dimensional space enclosed by an object or thing.

It is given that:

Neelam is pouring sand into a clear box to make sand art.

The volume of the sand = 43 3/4 - 26 1/4

After simplification:

The volume of the sand = 17 1/2

The height of the sand = 17 1/2 ÷ (7x 2 1/2)

After solving:

The height of the sand = 1 inch

Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ1

Answer:

301.59 units or 301.6 after rounding

9514 1404 393

Answer:

  y' = -y/x

Step-by-step explanation:

It looks like you have ...

  e^z -z = 0 . . . . . where z = xy

Differentiating with respect to x gives ...

  z'·e^z -z' = 0

  z'(e^z -1) = 0

The zero-product rule tells you this is true for e^z = 1, which is not useful for finding y', and for z' = 0, which is.

  z = xy

  z' = y +xy' = 0

  y' = -y/x

_____

Additional comment

There appear to be no real values of x and y that will make your equation true.

Answer:

3/5 is the slope

Step-by-step explanation:

A P E X

Answer:

x=2

Step-by-step explanation:

Because you Subtract 1 from both sides of the equation

and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

Using the probability concept, it is found that there is a:

A personal identification number (PIN)  consists of four digits, and considering they can repeat, the total number of PINs is:

[tex]T = 10^4 = 10000[/tex]

Item a:

A PIN equals to 0000 is one outcome, hence:

[tex]p = \frac{1}{10000} = 0.0001[/tex]

0.0001 = 0.01% probability that a PIN number is equal to 0000.

Item b:

In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:

[tex]p = \frac{99}{10000} = 0.0099[/tex]

0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.

Item c:

One in ten numbers are divisible by 10, hence:

[tex]p = \frac{1}{10} = 0.1[/tex]

0.1 = 10% probability that a PIN number is divisible by 10.

Item d:

12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:

[tex]p = \frac{9988}{10000} = 0.9988[/tex]

0.9988 = 99.88% probability that a PIN number is at least 13.​

You can learn more about the probability concept at https://brainly.com/question/15536019

Answer:

Did you want us to answer the question?

Step-by-step explanation:

Answer:

1. c

2. f

3. d

Step-by-step explanation:

This type of queuing model is an example of "single-channel, single-phase" process.

However, from the information given:

The inter-arrival rate = 10 customers per hour

Arrival time = 6 minutes

Service time = 5 minutes

∴

utilization = service time/arrival time

= 5/6

Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]

[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]

[tex]T_q = 25 \times 3.60945[/tex]

[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]

Thus, customer waiting in the queue line is;

[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]

Thus, new customers will have to wait in a total time of;

= waiting time + service time

= 90 + 5

= 95 minutes.

Answer:

1. 1/3

2. 19/8

Step-by-step explanation:

Answer:

1291.5km

Step-by-step explanation:

12.3*105=1291.5km

Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0. The slope is 0 and the y-intercept is -4.

Answer:

0

Step-by-step explanation:

This equation is written in slope-intercept form. This form is y=mx+b, where m is the slope and b is the y-intercept. In this equation, there is no x. This must mean that m is 0 because the only number times x that could make x=0 is 0. If this line was drawn it would be a straight horizontal line, since it is not changing at all the slope is 0.

Answer:

Sarah is correct

Step-by-step explanation:

Required

Which of the students is correct

Let a number be x,

Given what the teacher asked the students to do, the solution is:

[tex]Number = x[/tex]

[tex]Opposite = -x[/tex]

[tex]Absolute = |x|[/tex]

Only Sarah got this correctly; others are incorrect.

The proof is as follows.

For Sarah

[tex]Number = 1416[/tex]

[tex]Opposite = -1416[/tex]

[tex]Absolute =|1416| = 1416[/tex]

So, the numbers will be: 1416, -1416 and 1416

Other students are incorrect

Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

Answer:

5000×8×3/100

1200

1200×10/100

120

Answer:

Step-by-step explanation:

Three faces are equal triangles with:

The base is a triangle with:

Surface area is sum of areas of 4 faces:

Answer:

Step-by-step explanation:

Q1 .  

Money saved every month = $200  

Time period until you retire = 35 years

Rate of Interest = 8%

The money is compounded monthly.

a). Amount for retirement = Saving annuity

Saving or making  a series of payments at regular intervals is called annuity.

Annuity formula is :

P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)

PN is the balance in the account after N years.

d is the regular deposit (the amount you deposit each month)

r is the annual interest rate in decimal form(R/100)

k is the number of compounding periods in one year

Here d= $200 , r = 0.08 , n = 35 years , k = 12 (compounded monthly)

P_{n} = 200((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)

= $ 458776.50

b). Looking at the formula used in above option we can -

Increase number of years to increase retirement amount

Increase the monthly amount deposited

Increasing rate of interest also increases the amount

Compounding Annually , half yearly or quaterly will decrease the amount

c). Let us change the amount from $200 to $300 . Then amount will be

P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)

P_{n} = 300((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)

= $ 688164.75

Answer:

1

Step-by-step explanation:

we know,

     1/2 liter=500mil

so,1 cups can be filled with 500 mil liters of water

Answer:

0.138 acres per pound of seed

Step-by-step explanation: