The world population was 6.114 billion in 2000 with an estimated growth
rate of 1.9% per year. Assuming the world population follows this exponential
growth mode, find the projected population in 2030.

Answer:

x = 30

Step-by-step explanation:

These angles form supplementary angles meaning they add up to 180°.

[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]

Answer:

24.73cm^3

Step-by-step explanation:

Step-by-step explanation:

Let x=one side of the square; y=one side of the rectangle:

The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:

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

x^2-4=22x-121

x^2-22x+117=0

(x-13)(x-9)=0

x=13, or 9

Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!

Answer: I can’t see the shape

Step-by-step explanation:

but I still we help you if you are finding the area if a rectangle, you multiply the length by width. Like if the rectangle length is 7 and the width is 9 they you multiply it together which you get 63. If you are trying to find a area of a triangle then, duplicate the triangle and try to make a rectangle then caculate area of the rectangle and divide that area by two. Like this photo

hope this helps

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

Answer: The 12.81 for 14 lbs of apples is the better buy.

Step-by-step explanation:

Find the unit price (the price of 1 lb of apples)

7.64/8 lbs = 0.955 per pound

12.81/14 lbs. = 0.915 per pound;

Answer:

$29

Step-by-step explanation:

You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100

Answer:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           3s2 - 2s + 1

Simplify   ————————————

            s2 - s + 2

Trying to factor by splitting the middle term

2.1     Factoring  3s2 - 2s + 1

The first term is,  3s2  its coefficient is  3 .

The middle term is,  -2s  its coefficient is  -2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   3 • 1 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

Answer:

x=-7 y=-2x²-4x-5

Step-by-step explanation:

Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

Answer:

2a + b/4

Step-by-step explanation:

The expression is the sum of two terms (2a + b/4)

The first term is the product (Multiply) of 2 and a (2a)

The second term is the quotient (Divide) of b and 4 (b/4)

Answer: 158.26cm³

Step-by-step explanation:

First, we.need to calculate the volume of the cylinder and this will be:

Volume = πr²h

Volume = 3.14 × 3² × 8

Volume = 3.14 × 9 × 8

Volume = 226.08cm³

Since the jar is 70% full, the volume will be:

= 70% × 226.08cm³

= 0.7 × 226.08cm³

= 158.26cm³

Note:

Radius = Diameter/2 = 6cm/2 = 3cm

Answer:

21

Step-by-step explanation:

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

X = 5

Step-by-step explanation:

You always do the inverse (opposite). 20 - 15 = 5, therefore the variable 'X' = 5. Also, if you add '6' to 'X', then it shall be ONE greater than 20.

Answer:

any real number greater than 5

Step-by-step explanation:

X+15> 20

X>20-15

X>5

(5,∞)

you can easily know by ;- 6+15>20

21>20 it's true

Answer:

Independence chi-square test

Step-by-step explanation:

The Chi-Square Test for independence is a type of statistical hypothesis test that is used to determine the existence of an association or relationship between nominal or categorical variables

The chi-square is given by the following formula;

[tex]\chi^2 = \XXL\sum \dfrac{\left (O_i - E_i \right)^2}{E_i}[/tex]

The number of participants = 80

The number that assigned a verdict of guilty = 27

The number that assigned a verdict of not guilty by reason of self defense = 49

The number that assigned a verdict of not guilty by reason of insanity = 4

Independence Chi Square test

The table of values is presented as follows;

Expected Value = (Row sum * Column Sum)/(Grand Total)

Expected Value for Guilty = 27 × 80/80 = 27

Expected Value for Self Defense = 49 × 80/80 = 49

Expected value for Insanity = 4 × 80/80 = 4

[tex]\begin{array}{ccc}Category&Observed&Expected\\Guilty&27&27\\SelfDe&49&49\\Insanity&4&4\end{array}[/tex]

Answer:

x = 3

Step-by-step explanation:

12x =  36

There is only one step

Divide both sides by 12

x = 3

Answer: what he said

Step-by-step explanation:..

Answer:

ka=2.8×10>4

Step-by-step explanation:

.$%_&<</___/%$

Answer:

2.423

Step-by-step explanation:

Surface that is not water: 5.1 - 3.61 = 1.49

How many times water is bigger than not water: 3.61/1.49 = 2.423

Answer: 62cm^2

Step-by-step explanation: 70-8=62

Answer:

The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right

Step-by-step explanation:

y > -3x + 7

The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right

Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

Answer:

x = 4

y = 10

Step-by-step explanation:

3x + 2y = 32 (Multiply this equation by -3)

9x - 3y = 6

-9x - 6y = -96

9x - 3y = 6

-9y = -90

y = 10

3x + 2y = 32

3x + 2(10) = 32

3x + 20 = 32

3x = 32 - 20

3x = 12

x = 4