1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
3 years ago
12

Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?

Mathematics
1 answer:
hammer [34]3 years ago
8 0

9514 1404 393

Answer:

  factor out 5^19

Step-by-step explanation:

a) Reason from parity:

  both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.

__

b) Factor:

  5^20 -5^19 = 5^19(5 -1) = 5^19×4

This product has an even factor (4), so is even.

You might be interested in
What is 37 and 1/2 simplified?
yarga [219]
37 and 1/2 could mean:
37+ (1/2)
37 times 1/2



37+1/2=37 and 1/2 or 37.5

37 times 1/2=37/2=18 and 1/2=18.5
3 0
3 years ago
Which of the following represents the average rate of change of the function f(x) = 2x - 3
mr Goodwill [35]

Average rate of change, Correct Answer is (0,-3)

5 0
3 years ago
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i
KonstantinChe [14]

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

7 0
3 years ago
What is the slope of the line passing through the points (–1, 3) and (4, –7)?
Nataliya [291]
Slope=rise/run
slope=(y2-y1)/(x2-x1) if you have the points
(x1,y1) and (x2,y2)

we have the points (-1,3) and (4,-7) 
x1=-1
y1=3
x2=4
y2=-7

slope=(-7-3)/(4-(-1))=-10/5=-2

answer is D
6 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.
slamgirl [31]

the ans is 310.86......

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which number is a prime number? 161. 151. 141. 171.
    6·1 answer
  • Which of the following side lengths are the legs? 6, 14, and 12
    9·2 answers
  • Help me please 25 points.
    15·2 answers
  • Round this number to the nearest tenth 4.253
    13·2 answers
  • Select the best answer for the question 7/8=?/48
    14·2 answers
  • What are the coordinates of the image of vertex G after a
    7·2 answers
  • What is 972 written in standard form
    5·2 answers
  • Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?
    10·1 answer
  • I need help please! my test is almost over in 15 min help!!!!!!!!!!!!
    11·1 answer
  • Si un gramo de chocolate vale$38.25¿cuánto costarán 750 gramos?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!