You send a text to a friend. Your friend forwards it to 10 other friends, who each forward it to 10 more friends. The pattern continues for 5 rounds after your first text.

a. How many people will receive the text during the 4th round? Write your answer in scientific notation and in standard form.

b. How many total people have received the text? Write your answer in standard form. Explain your calculation.

Answers

Answer 1

Answer:

a. The number of people that receive the text in the fourth round are 10³ people

b. The total number of people that receive the text are 1.1111 × 10⁴ people

Step-by-step explanation:

a. The given information are;

The number of people the text is sent to in the first round = 1

In the second round, the number of people the text is sent to by people in the first round = 10

In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people

In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people

The number of people that receive the text in the fourth round = 10³ people

b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people

The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people =  11111 people = 1.1111 × 10⁴ people


Related Questions

Evaluate the expression below using the properties of operations. Show your steps to receive full credit. −36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6

Answers

Answer:

(-162)/7 or -23 1/7 as a mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7

M a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2. Which word describes their measures? linear congruent complementary supplementary

Answers

Answer:

i think it's congruent .

Step-by-step explanation:

Answer:

complementary i believe

Step-by-step explanation:

smoovin

x/8 = 5/6 solve the proportion

Answers

Answer:

20/3

Step-by-step explanation:

Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.

Answers

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

help on math angle question. ik its easy but I have no idea how math works :D

Answers

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

Helpppp pleaseeeee e e e e e e e e e!!!!!!

Answers

Answer: 80

Step-by-step explanation:

50+50=100

180-100=80

Answer:

is 80

Step-by-step explanation:

~ p o t a t o ~

The lowest point on the graph of a parabola that opens up is the what of the parabola?
a. range
b. axis of symmetry
c. vertex
d. domain​

Answers

Answer:

c the vertex

Step-by-step explanation:

hope this helps!

C. Vertex



Explanation:

If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

(11x+2)° (8x+7)° find value of x

Answers

Answer:

Rate = 56 gal / 7 min

         = 8 gal / min

Step-by-step explanation:

Hope this helps leave a heart ad maybe brailiest

Hurry pleasee
The table shows the cost for ordering a certain number of pizzas. What is the value of x if the
cost is proportional to the number of pizzas ordered?
(10 Points)
Pizzas Ordered
2.
3
4
5
Cost
$19.98
$29.97
$39.96
х
$9.99
O $49.95
$59.94
O $29.97

Answers

Answer:

The answer is $49.95

Step-by-step explanation:

I Took the quiz :D i hope this helps <3

y is inversely proportional to x . When y = 3 , x = 20 Work out x when y = 12

Answers

Answer:

x = 5 when y = 12

Step-by-step explanation:

If y is inversely proportional to x, we can say that x1 : x2 = y2 : y1

The order of y2 and y1 respectively are interchanged as y is inversely proportional to x

Now let us simply substitute our known values, and solve for x2;

x1 : x2 = y2 : y1

20 : x2 = 12 : 3

20/x2 = 12/3

12(x2) = 3(20)

12(x2) = 60

x2 = 60/12 = 5

Find the slope. ( include whether positive or negative.)​

Answers

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

Remember: To find the slope, we use the equation Rise/Run.

[tex]\tt Step~1:[/tex]

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

[tex]\tt Step~2:[/tex]

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

[tex]\tt Step~3:[/tex]

To find the slope, we use the formula rise/run.

[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]

[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]

Need help with 11. . . .

Answers

Answer:  C) 46

===========================================

Explanation:

You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.

If x is an even number, then x+2 is the next even number, and x+4 is the one after that.

Add them up to get

(x)+(x+2)+(x+4)

x+x+2+x+4

(x+x+x)+(2+4)

3x+6

Then divide by 3 to compute the average

(3x+6)/3

3x/3 + 6/3

x+2

Set this average equal to 48 and solve for x

x+2 = 48

x = 48-2

x = 46 is the smallest number

x+2 = 46+2 = 48 is the middle value

x+4 = 46+4 = 50 is the largest

Note how the middle value is exactly the average. This is because we have symmetry going on here.

It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.

-------------------

Check:

add the values: 46+48+50 = 144

divide by three: 144/3 = 48

The average of the set {46,48,50} is 48

This confirms the answer

In scientific notation, 76 000 = 7.6x 10".
n =

Answers

Answer:

4 :)

Step-by-step explanation:

Translate the statement into an algebraic inequality. The quotient of a number and five is no greater than negative nine.

Answers

Answer:

[tex]\frac{x}{5} < -9[/tex]

Step-by-step explanation:

Let x be the number

"The quotient of a number and five" means the answer of x divided by five"Is no greater than negative nine" means is less than -9Put them together: [tex]\frac{x}{5} < -9[/tex]  

I hope this helps!

The sun of D and 5 is greater than or equal to -1 and the sun of D and 5 is less than or equal to 4. List 3 integers that satisfy the inequality

Answers

Answer:

-5, -2, -1

Step-by-step explanation:

Inequalities

The question provides us with two conditions:

D+5≥-1

D+5≤4

Solve the first inequality. Subtract 5 to both terms:

D≥-1-5

D≥-6

Solve the second inequality. Subtract 5 to both terms:

D≤4-5

D≤-1

We must find three numbers that comply with both conditions, i.e. it must be greater or equal -6 and less or equal than -1. Any integer number in the interval [-6,-1] solves the problem. We select the following list:

-5, -2, -1

Ian bought a package of gummy bears that contains 4 cups. if he eats 2/3 cup everyday, how many days of candy does he have?

Answers

Answer:

6 days

Step-by-step explanation

2/3 cups x 3 days = 2 cups

2 cups x 2 cups = 4 cups

4 cups = 6 days

Answer:

6

Step-by-step explanation:

1) Get 4 and divide it by 2/3

2) To do this you put the inverse which is 4/1 x 3/2

3) Cross divide, then multiply.

4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1

5) This means the ones cancel out since in math ones don't have to be seen even though they are there.

6) 2 x 3 = 6

So you get 6

3x+8=13x-8x. Also it’s asking me to check can you send a check too thanks

Answers

Answer:

x = 4 CAN I HAVE BRAINEST PLZ

Step-by-step explanation:

3x + 8 = 13x - 8x (collect like terms)

3x + 8 = 5x (subtract 3x on both sides)

8 = 2x (divide by 2 on both sides)

4 = x

CHECK

3(4) + 8 = 13(4) - 8(4)

12 + 8 = 52 - 32

20 = 20

A multiple-choice test with 50 questions has five possible choices for each question. There are 4 points for each correct answer, -1 point for each incorrect answer, and 0 points for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?

Answers

Answer:

130 points

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

What is division problem has the same quotient as -27 Divided by9

Answers

Answer:

-9/3

Step-by-step explanation:

Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis

Answers

you can’t see the function

Answer:

Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Cubic function f(x)- x^3.

hayden places these four blocks into bag
he pick one block wihtout looking
what is the probability that the block hayden picks has a letter on it

Answers

Answer:

1/4

Step-by-step explanation:

4 blocks have been picked, but just one wasn't looked at, therefore only that one has the letter.


Identify the odd function.
A) f(x) = 5
B) f(x) = 8x
C) f(x) = |x3|
D) f(x) = x2 + 7

Answers

Answer:

Step-by-step explanation:

odd functions are those function in which  

-f(x) = f(−x)  

if the function is odd , the graph of function is symmetrical about origin.

_________________________________________________

In the given problem

option B is correct answer

B) f(x) = 8x

replacing x with -x to satisfy the above described condition

f(-x) = 8(-x) = -8x

as we know 8x is equal to f(x)

f(-x) = -8x = -f(x)

hence,

f(-x) = -f(x)

hence, option B is correct answer.

Find the mean absolute deviation for the set {-32,9,11,12}


A)0

B)8

C)16

D)32

Plssss help

Answers

Answer:

The answer is A i think.

Step-by-step explanation:

Im taking the test lol.

Answer:

The answer is 16

Step-by-step explanation:

3(a+3)+6=30 Solve for a.

Answers

Answer:

a = 5

Step-by-step explanation:

3 (a + 3) + 6 = 30

Use the distibutive property to multiply 3 by a + 3

3a + 9 + 6 = 30

Add 9 and 6 to get 15

3a + 15 = 30

Subtract 15 from both sides

3a = 30 - 15

Subtract 15 from 30 to get 15.

3a = 15

Divide both sides by 3.

a = 15/3

Divide 15 by 3 to get 5

a = 5

find the measure of each angle.


m m

Answers

Answer:

BAC = 58, CAD = 32

Step-by-step explanation:

The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.

15x - 2 + 7x + 4 = 90

Combine common terms

22x + 2 = 90

Solve for x

22x = 88

x = 4

Now you can plug x into the equation for each angle to find its value.

Angle BAC

15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees

Angle CAD

7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees

can someone tell me which one is right in order

Answers

Answer:

2nd one 6th one 1st one 4th one 3rd one 5th one

Step-by-step explanation:

(Will give Brainliest)

Answers

Answer:

b-4.2<-7.5

Step-by-step explanation:

b-4.2<-7.5

this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.

Answer:

b-4.2<-7.5

Step-by-step explanation:

Calculate the mean ,median, or mode of a distribution. There are 10 bags containing tickets numbered 1 to 20. Ten students draw a ticket from each bag. One student drew tickets with the numbers. 5,8,18,1,14,6,8,13,8,19 what would be the correct mean, median, and mode

Answers

Answer:

Step-by-step explanation:

Mean = sum of variables/sample size

Sum of variables = 5+8+18+1+14+6+8+13+8+19

Sum of variables = 100

Sample size = 10

Mean = 100/10

Mean = 10

Median is the value at the centre after rearrangement.

On rearrangement

1,5,6,8),8,8,(13,14,18,19

Median = 8+8/2

Median = 16/2

Median = 8

Mode is the value with the highest frequency. The value that occur the most. From the datas, the mode is 8 since it occurred 3 times.

What is the value of x? What is the value of y?

Answers

Answer:

x = 45/2y = 10

Step-by-step explanation:

Both angles that have the "x" variable are the same and both angles that the "y" are the same since they are congruent meaning they are the same angle measure.

Solve for x.

6x - 5 = 8x - 50

~Add 5 to both sides

6x = 8x - 45

~Subtract 8 to both sides

-2x = -45

~Divide -2 to both sides

x = 45/2

Solve for y.

2y + 30 = 3y + 20

~Subtract 30 to both sides

2y = 3y - 10

~Subtract 3y to both sides

-y = -10

~Divide -1 to both sides

y = 10

Best of Luck!

a coach bought three soccer balls on sale. they normally sell for $26 each. they were on sale for $7 off the original price. the total tax on the ball was $4 . the expression represents the total amount paid. Then explain how to use the order of operations to find the total amount the coach paid for the soccer balls.

Answers

Answer:

The coach paid $69 on the three soccer balls

Step-by-step explanation:

If the coach bought 3 soccer balls for 26$, minus the $7 on each, plus the $4 tax on each, the expression would be:

3 × (26 - 7 + 4)

We put the addition and subtraction in parentheses because of PEMDAS. PEMDAS say we must solve for whatever is in the parentheses first, then exponents (there are none in the expression), ans then multiplication. If those numbers were not in parentheses, the answer would look completely different as we would multiply before subtracting and adding. We must find the total amount each ball cost first:

26 - 7 + 4 = 23

Each ball cost $23

If the coach bought 3 balls for $23 each, we have to multiply the two numbers:

3 × $23

$69

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