Divide 15 to the 7th power by 6 then add 66 brainly

2. Exercise 18, 19 Page 188. Determine if the following statements are true. If a statement is true, give a proof from the defin

Roman55 [17]

Answer:

a. true b. true

Step-by-step explanation:

(a) If r and s are rational numbers, then (r+s)/2 is rational.

true

rational numbers can be expresed as fractions

let be r=a/b and s=c/d being a,b,c,d integer numbers

$\frac{r+s}{2} =\frac{\frac{a}{b}+\frac{c}{d} }{2} =\frac{\frac{da+bc}{bd} }{2} =\frac{da+bc}{2bd}$

d.a=e is an integer number because it's the product of two integers

b.c=f is an integer number because it's the product of two integers

e+f=g is an integer number because it's the sum of two integers

b.d=h is an integer number because it's the product of two integers

2.h=i is an integer number because it's the product of two integers

g/i=j is an integer number because it's the quotient of two integers

then

$\frac{r+s}{2} =\frac{\frac{a}{b}+\frac{c}{d} }{2} =\frac{\frac{da+bc}{bd} }{2} =\frac{da+bc}{2bd}=\frac{e+f}{2h} =\frac{g}{i} =j$

(b) For all real numbers a and b, if a

true

$a < (a+b)/2 < b$

$2a < (a+b) < 2b$

lets analyze 2a < (a+b)

$2a < (a+b) \\2a-a < (a+b)-a\\a < b$

then 2a < (a+b) is true

lets analyze (a+b) < 2b

$(a+b) < 2b\\(a+b)-b < 2b-b\\a< b$

then (a+b) < 2b is true

7 0

3 years ago

Read 2 more answers

15.Identify the coordinates of point C after a translation with rule (x + 3, y 2).

ziro4ka [17]

Since the original coordinates are (-3,4), you can start finding the prime coordinates by adding 3 to the x-value, and subtracting 2 from the y-value. This will get you (-3+3, 4-2) This will come out to (-0, 2), so your answer will be...

D. C'= (0,2)

6 0

4 years ago

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mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds

anyanavicka [17]

Answer:

14minutes

Step-by-step explanation:

first you need to find the distance which you must find the perimeter P=100+80+100+80

=360 so you multiple it by 6 to get

=2160meters

so you need to convert the meters to kilometers

which is 1000m =1km

what about 2160m you cross multiply

to get 2.16km.

so the distance represent D=2.16 km

and speed represent S=9km

now you need to find time represented by T

T=D/S

T=2.16km/9km/h

so the km cancels each other

you get 0.24h for this isn't the solution

you know that 1 hour= 60 minutes

 what about 0.24h you cross multiply

to get 14.4 so you round it off to get 14 minutes

3 0

3 years ago

Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from −5 to 5. Explain how you wou

liraira [26]

Answer:

Sample Response: Start at the origin. The x-coordinate is −2½ , so move left 2½ units. −2½ is halfway between −3 and −2. The y-coordinate is −4, so move down 4 units. Plot the point.

Step-by-step explanation:

5 0

3 years ago

What is the smallest positive integer n such that n! ends in at least 2019 zeros?

Lady_Fox [76]

Answer:

I think there's 502

Step-by-step explanation:

if this is a olunomical question that should be it I believe, because you have to write in standered form then when it equals zero, then factor it

3 0

2 years ago