adam is rewriting the expression

Answer:

It’s true

Step-by-step explanation:

Proof by induction

Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.

For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.

For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.

For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.

Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.

Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.

Answer:

x = 14

Step-by-step explanation:

15² = x² + 6²

225 = x² + 36

189 = x²

√189 = x

x = 13.7

x = 14

Answer: z 1/2

Step-by-step

:) 100%

Answer:

18

Step-by-step explanation:

Answer:

$217.50

Step-by-step explanation:

$135 + (11*$7.50) = $217.50

Answer:

B

Step-by-step explanation:

26 students = 15 students + 11 students

135 for 1st 15, 7.50 for rest

135 + 7.50(11) = 217.50

Therefore, B

Answer:

53.13°

Step-by-step explanation:

Sin x = Opp/Hyp

Sin x = 76/95

x = Sin- 0.8

=53.13°

Answer:

595,000

Step-by-step explanation:

find 5% of the present population

5/100*350,000 =17,500

there fore the population increases by 17,500 yearly

in 14 yrs time

=(14*17500) + 350,000

=245000+350000

=595000

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

Answer:

49 pound bag=$.19 per pound

one pound = $.41 per pound

Step-by-step explanation:

49 pound bag for $9

$9/49=$0.1836 per pound

49 pound bag=$.19

one pound = $.41 per pound

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer:

Both are equal to [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]

[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

The required value of the b  is -3/2, and another root of the given equation is  -11/2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² - bx - 22 = 0

As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2

x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0

root are,
x = 4 and -11/2

Thus, the required value of the b  is -3/2, and another root of the given equation is  -11/2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Step-by-step explanation:

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps

Answer:

d=  -32

Step-by-step explanation:

d/4+3=-5

d/4=-8

d=4 x (-8)

d= -32

Answer:

Step-by-step explanation:

Answer:

Depends on what numbers are there.

Step-by-step explanation:

If the numbers are 0-10 then there is a 50% chance of the spinner stopping on an even number because there is 5 even numbers and 5 uneven numbers.

The probability of the spinner stopping on an even number will be equal to 5/10.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

Probability = 5/10

Therefore, The probability of the spinner stopping on an even number = 5/10

Learn more about probability here;

brainly.com/question/11234923

#SPJ6

Complete question:

Answer:

sum=3.2559347

Step-by-step explanation:

product= 2x6x2 798.364

did it on edginuty and got it right

Answer:

31,000 and 6

Step-by-step explanation:

The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves  6 places to the right.

Hope it helps :)

Please mark my answer as the brainliest

Answer:

0.00000003-6

Im doing a chalenge

Please like I need to win

Answer:

14x7=98

Step-by-step explanation:

First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.

all you need is to multiply base x height

base 14cm height 7cm pls brainliest

hope this helps!

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

Answer:

c

Step-by-step explanation:

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

the answer is c or 55

Step-by-step explanation:

good luck on your quiz!

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

104

Step-by-step explanation:

EUJDJFKFKDEISHXHJRD

Answer:

104

10 × 10 = 100

100 + 4 = 104

Therefor, the answer is 104.

Answer:

Hope this helped :D  Because summation means adding both values. So when we add negative integer, it will be more negative and hence resultant value will be smaller than both the integers.