How many significant figures does 4857.169 have?

Answer:

4

Step-by-step explanation:

Every year, the world grows by 1.1%. Converting to a decimal, we can divide by 100 to get 1.1% = 0.011. This means that the world grows by 0.011 exponentially each year. To put this into an expression, we can add 1 to our percentage to get 1.011. This represents 1 = 100% (the original population) and the growth of 1.1% = 0.011. We multiply the rate including the growth by the population to get the population after one year. After the first year, we have

population * 1.011 as the new population after one year. We do that for every year, so the second year's population is population*(1.011)*(1.011) and so on. If x represents the amount of years, then the population can be represented as

(original population)*1.011ˣ

Therefore, to get from 7 billion to 7.31 billion, we have

7 billion * 1.011ˣ = 7.31 billion

divide both sides by 7 billion to relatively isolate the x

1.011ˣ = 7.31/7

Another way of writing this is

log (base 1.011) (7.31/7) = x

≈ 3.96

Rounding to the nearest whole number, we get 4 as our answer

The number of years it takes for the population to grow from 7 billion to 7.31 billion is;

n = 4 years.

We are told that the population of the world grows exponentially by 1.1% per year. This is equivalent to growth of 0.011 per year exponentially.

Now, since the exponential rate is 0.011 per year, thus, if the original population is P, then after a year, the new population will be;

P_1 = 1.011¹ × P

After 2 years, it will be;

P_2 = 1.011² × P

Thus, if n represents the number of years after the initial population, then population after n years if original population is P is;

P_n = 1.011ⁿ × P

Now, we are told that the population grew from 7 billion to 7.31 billion.

Thus;

P = 7 billion

P = 7 billion P_n = 7.31 billion

Thus;

7 billion × 1.011ⁿ = 7.31 billion

divide both sides by 7 billion to get;

1.011ⁿ = 7.31/7

1.011ⁿ = 1.044285

n log 1.011 = log 1.044285

n = 0.018819/0.004751156

n ≈ 4 years

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Answer:

G. 105.

Step-by-step explanation:

Percentage of cars with  3 or more people

= 15 + 7 + 3

= 25%,

25% of 420

= 0.25 * 420

= 105.

Answer:

31.1011905%

Step-by-step explanation:

Take the new price and subtract the original price

8.81 - 6.72

2.09

Divide by the original price

2.09/6.72

.311011905

Change to percent form

31.1011905%

Percent of increase in average movie theatre ticket price will be 31.1%

    Given prices of the ticket in two different years are,

To calculate the percent increase in the price of an object expression to be used,

Percent increase = [tex]\frac{\text{Final price - Initial price}}{\text{Initial price}}\times 100[/tex]

                             = [tex]\frac{8.81-6.72}{6.72}\times 100[/tex]

                             = [tex]0.311\times 100[/tex]

                             = [tex]31.10[/tex]%

          Therefore, percent of increase in the price of the ticket will be 31.1%

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Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.

Answer:

mean=71

Step-by-step explanation:

Mean x¯¯¯x¯

71

Median x˜x~

72

Mode

64, 83, 79, 38, 81, 90, 59, 93, 70, 73, 71, 51

Range

55

Minimum

38

Maximum

93

Count n

12

Sum

852

Quartiles

Quartiles:

Q1 --> 61.5

Q2 --> 72

Q3 --> 82

Interquartile

Range IQR

20.5

Outliers

none

Call a bottle of juice costs is x

$2.49 + 12x = $27.57

             12x = $27.57 - $2.49

             12x = $25.08

                 x = $25.08 / 12

                 x = $2.09

SO each bottle of juice costs $2.09.

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Answer:

1: 5 2: 13 3: sqr root of 15 4: 1 5: 1 6: 3

Step-by-step explanation:

Follow the formula a squared plus b squared equals c squared. C is always the longest side of the equation. So figure out your variables to fill in and in the end, square root your remaining answer.

Answer:

-15

Step-by-step explanation:

17+2a=-13

2a=-30

a=-15

Answer:

84.861

Step-by-step explanation:

In the given figure, 1/4 part of Circle is missing

so, we have to find the area of 3/4 part of circle

Area of circle = πr²

Given, r = 6

Now, Area of 3/4 part of circle = (3/4)×πr²

= (3/4) × 3.143 × 6²

= 84.861

Answer:

x = 3+y/2

Step-by-step explanation:

Answer:

thanks for points

Step-by-step explanation:

too easy boi

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

16 - 2t + 5t + 9

16 + 9 -2t + 5t=0

25 + 3t =0

3t= -25

t= -8.3

Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

Step-by-step explanation:

Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.

Answer:

Distance cannot be negative because no matter which direction you travel, you will never travel negative units.

Step-by-step explanation:

Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.

If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.

Answer:

33 miles did the car travel on each gallon of gas

cos(4x + π/5) - sin(2x) = 0

Since cos(x + π/2) = -sin(x), we can write

cos(4x + π/5) = cos(4x + π/2 - 3π/10) = -sin(4x - 3π/10)

Then we can absorb the negative signs into either sin expression, using the fact that sin(-x) = -sin(x):

-sin(4x - 3π/10) - sin(2x) = 0

sin(3π/10 - 4x) + sin(-2x) = 0

Recall that

• sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

• sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

==>   • 2 sin(a) cos(b) = sin(a + b) + sin(a - b)

We can further condense the left side in our equation if there exists a solution to

{ 3π/10 - 4x = a + b

{ -2x = a - b

We have

(a + b) + (a - b) = (3π/10 - 4x) + (-2x)

==>   2a = 3π/10 - 6x

==>   a = 3π/20 - 3x

(a + b) - (a - b) = (3π/10 - 4x) - (-2x)

==>   2b = 3π/10 - 2x

==>   b = 3π/20 - x

So in our equation, we have

sin(3π/10 - 4x) + sin(-2x) = 0

2 sin(3π/20 - 3x) cos(3π/20 - x) = 0

sin(3π/20 - 3x) cos(3π/20 - x) = 0

Solve for x :

sin(3π/20 - 3x) = 0   or   cos(3π/20 - x) = 0

[3π/20 - 3x = arcsin(0) + nπ   or   3π/20 - 3x = π - arcsin(0) + nπ]

  or   [3π/20 - x = arccos(0) + nπ   or   3π/20 - x = -arccos(0) + nπ]

[3π/20 - 3x = nπ   or   3π/20 - 3x = π + nπ]

  or   [3π/20 - x = π/2 + nπ   or   3π/20 - x = -π/2 + nπ]

[3x = 3π/20 - nπ   or   3x = -17π/20 - nπ]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

[x = π/20 - nπ/3   or   x = -17π/60 - nπ/3]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

(where n is any integer)

Answer:

15.3 L

Step-by-step explanation:

1% of 15 is 15÷100=0.15

0.15×2=0.3, so 2% is 0.3

15+0.3=15.3

Hi! I'm happy to help!

For this, you just simply follow the directions, and alter as you go. First, we need to place E between F and G, so we can put F and G on opposite sides of E.

F   E   G

From here, we put H between F and E

F   H   E   G

I hope this was helpful, keep learning! :D

Answer:

(4,3)

Step-by-step explanation:

If the triangle ABC is moved 5 units to the right, the coordinates of A will be (4,3). We can find this by using the values already given for A. We are given (-1,3) which is A's current position. Since we are moving it to the right we are only looking at the first number. If we add 5 to -1 we get 4 which we put in the place of the -1 in the coordinates to get our answer.

Answer:

Max drove half an hour at 110 miles per hour.

Step-by-step explanation:

185 = 65(2) + 110t

185 = 130 + 110t

-130    -130

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

55 = 110t

/110    /110

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

0.5 = t

Answer:

about 15.08

Step-by-step explanation:

Angle BAC + Angle CAH = 180 (they are supplenmentary angles), which means (12x+4)+(x-20)=180

solve:

13x-16=180

13x=196

x≈15.08

Answer:

12x+4 + x-20 = 180

13x = 196

x = 15.08

Step-by-step explanation:

Answer:

(x + 5) (x^2 -3)

Step-by-step explanation:

[tex]x^{3} +5x^{2} - 3x - 15[/tex]

Do the grouping:

[tex]x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)[/tex]

Then factor out [tex]x^{2}[/tex] in the first and −3 in the second group.

[tex]x^{2}(x+5) - 3(x+5)[/tex]

Factor out the common term x + 5 by using the distributive property.

Polynomial [tex]x^{2}-3[/tex] is not factored in since it does not have any rational roots, thus getting the following:

[tex](x+5)(x^{2} -3)[/tex]

Answer:

the fourth option (x+5)(x²-3)

Step-by-step explanation:

the "-15" tells us we need a 3 and a 5 with different signs.

that eliminates the first and the second options.

and the "5x²" tells us it has to be +5, as there is only one part in the whole multiplication that delivers a x² term (5×x²).

it is also confirmed for the same reasons by "-3x" that the other number has to be -3.

Answer:

There are no solutions.

The left side of the equation will always be three less than the right side of the equation since both sides have the same variable.

Answer:

12. This is because of the commutative property of addition.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Using the commutative property of addition

8+4 = 12

4+8 = 12