17/2 is bigger than what?​

The average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

The average work weeks are given as:

Year 2009 = 43 hours

Year 2010 = 42 hours 30 minutes

Rewrite as:

Year 2010 = 42.5 hours

The percentage change is then calculated as:

Percentage change= (Final - Initial)/Initial * 100%

So, we have:

Percentage change= (42.5 - 43)/43* 100%

Evaluate

Percentage change= -1.16%

Hence, the average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

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Thermal energy can be used in the heating systems either at home or in the industries

However, when solar energy is converted to thermal energy, the radiant energy from the sunlight is converted into heat which can then be used as space and hot water heating, power generation and industrial process heat

Energy simply refers to the capacity of doing work. Some forms of energy are:

So therefore, thermal energy can be used in the heating systems either at home or in the industries.

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Answer: 1 1/4 cups

Step-by-step explanation:

1 serving is half a cup so 2 servings would be 1 cup

and half of a serving would be 1/4 of a cup

for a drawing you could do something like this

The second option saves time and cleaning elements, so that one is better.

We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:

50*8 oz = 400 oz

So you need 400 ounces of onion per day.

If you buy at $1.99 per pound (1 lb = 16 oz)

Then the cost per ounce is:

c = $1.99/16

And the cost of 400 ounces is:

C = ($1.99/16)*400 = $49.75

In the case of the pre-sliced onions, the total cost would be:

C' = ($2.99/16)*400 = $74.75

So in the first case, each portion costs:

$49.75/50 = $0.995

And in the second case:

$74.75/50 =$1.495

So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.

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There are 720 ways through which 3 numbers can be selected from 10 numbers to open a keypad lock.

Given that there are 10 numbers are 3 numbers are required to open a keypad lock.

Permutations are the number of ways in which objects can be selected without replacements to form subsets.

It is expressed as n[tex]P_{r}[/tex]=n!/(n-r)!.

Factorial of a number is the product of consecutive numbers less than the number.

Total numbers available=10

Numbers to be selected=3

Number of ways can be found by using permutations.

Number of ways =10[tex]P_{3}[/tex]

=10!/(10-3)!

=10!/7!

=10*9*8*7!/7!

=10*9*8

=720 ways.

Hence there are 720 ways through which 3 numbers can be selected from 10 numbers.

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The probability of a meerkat living smaller than 16.1 years exists at 99.85%.

The empirical rule notes that for a normal distribution most of the data lose within three standard deviations (σ) of the mean (µ). That exists 68% of the data lose within the first standard deviation (µ ± σ), 95% loses within the first two standard deviations (µ ± 2σ), and 99.7% declines within the first three standard deviations (µ ± 3σ).

68% declines within (10.4 ± 1.9). 68% declines within 8.5 years to 12.3 years.

95% declines within (10.4 ± 2[tex]*[/tex]1.9). 95% declines within 6.6 years to 14.2 years.

99.7% declines within (10.4 ± 3 [tex]*[/tex]1.9). 68% declines within 4.7 years to 16.1 years.

Probability of a meerkat living less than 16.1 years

= 100% - (100% - 99.7%)/2

= 100% - 0.15%

= 99.85%

Therefore, the probability of a meerkat living less than 16.1 years exists at 99.85%.

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Answer:

b) - 10

Step-by-step explanation:

To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).

   [tex]\sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}[/tex]

 a = 4 ; f(a) = -17

b = 6 ;   f(b) = -37

     [tex]\sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}[/tex]

                                         [tex]\sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10[/tex]

The volume of the rectangular solid is: 11,960 units³.

The formula to find the volume of a rectangular solid is: (length)(width)(height).

Given the dimensions as:

Volume = (20)(23)(26)

Volume of the rectangular solid = 11,960 units³.

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The mean length of the 6 people's index finger is 11.55

The given parameters are:

The mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{3 * 9.9 + 3 * 13.2}{3 + 3}[/tex]

Evaluate

[tex]\bar x = \frac{69.3}{6}[/tex]

Divide

[tex]\bar x = 11.55[/tex]

Hence. the mean length of the 6 people's index finger is 11.55

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The proof that the diagram is a square is that; D: slopes are perpendicular where the sides meet

We know that a square is a quadrilateral that has 4 sides. Now, the 4 sides of a square are all equal and at right angles.

Since all sides of the square are equal, then it means that 2 consecutive sides must be perpendicular to each other. Thus, this means that the slope of 2 consecutive sides must be perpendicular to each other.

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[tex]\cos \left(\frac{3\pi}{2}-x \right)=\sin x \\ \\ =\cos \left(\frac{3\pi}{2} \right)\cos x -\sin \left(\frac{3\pi}{2} \right) \sin x \\ \\ =0\cos x -(-1)(\sin x) \\ \\ =\sin x[/tex]

Answer:

14 and please Mark me brainlist

Answer:

There are four lines of symmetry in this figure.

Step-by-step explanation:

First look at the mainframe, it has 2 lines of symmetry. And if you look at it diagonally, it has another 2 more lines.

So therefore there is 4 lines of symmetry in this H figure.

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Answer:

80°

Step-by-step explanation:

Congruent means the same size, so we know that the angle of the shapes made by the lines HK and GJ are the same, meaning that the angle of GOJ is simply 80°.

The measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

For the parallelogram ABCD, it can be deduced that

Line AB and CD are parallel and AD is a transversal so the angles A and D is co-interior , Co-interior angles are said to be supplementary whose sum is 180 degrees

A + D = 180°

30° + D = 180°

D = 180° - 30°

D = 150°

Perimeter = 2 ( a + b)

a = 16cm, b = 25cm

Perimeter = 2 (  16 + 25) = 2 ( 41)

Perimeter = 82 cm

Area = b × h

base = 25cm , h = 8cm

Area = 25 × 8

Area = 200 square centimeters

Thus, the measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

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Answer:

A

Step-by-step explanation:

9|x-8|<36

|x-8|<4

-4<x-8<4

add 8

-4+8<x-8+8<4+8

4<x<12

The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The first step is to determine the ratio of people who preferred crunchy-flakes cereal:

Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2

Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000  customers.

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Answer:

14

Step-by-step explanation:

let the number be x

2x is larger than half of x by 21: 2x = 0.5+21

Solve:

2x = 0.5+21

1.5x = 21

x = 14

The simplified expression of [tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex] is [tex]\frac{x^2}{x + 8}[/tex]

The expression is given as:

[tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex]

Factor the numerator

[tex]\frac{x^{2}(x-8)}{x^2-64}[/tex]

Express the denominator as a difference of two squares

[tex]\frac{x^{2}(x-8)}{(x-8)(x + 8)}[/tex]

Cancel out the common factor

[tex]\frac{x^2}{x + 8}[/tex]

Hence, the simplified expression of [tex]\frac{x^{3}-8x^{2}}{x^2-64}[/tex] is [tex]\frac{x^2}{x + 8}[/tex]

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The ethical issues about testing with animals is it resulting in suffering and they have the right to live without human interference.

This is defined as a procedure which is carried in order to support or refute a hypothesis.

The blood pressure returning to normal when the drugs were used on the animals is a good assumption as most parts of the animal and human body work similarly.

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Answer:

10

Step-by-step explanation:

Answer:

1.138789 is equivalent to 8 to the second power to the -4 power.

Hope this helps :)

From the calculation, the growth rate is 0.88.

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

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The blank space to form a linear pair with m∠BPD is m∠APD.

Linear pair of angles are formed when two lines intersect each other at a single point.

Linear pair angles are adjacent to each other.

Therefore, the sum of a linear pair angles is equals to 180 degrees.

This means linear pair angles are supplementary.

Hence,

m∠APD + m∠BPD = 180°

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Answer:

You must graph the two equations and find the point of intersection (x,y)

Point of intersection: (-4, -3)

Step-by-step explanation:

I can not provide a picture, but if you know how to graph these linear functions on the graph properly, you will find a point where the linear functions intersect at (x,y).

The probability of drawing a red marble and then a green marble is:

P = 1/6.

In the jar we have a total of 16 marbles, such that:

First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:

p = 4/16 = 1/4

Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.

q = 10/15

The joint probability (first drawing red, then green) is given by the product between the individual probabilities:

P = p*q = (1/4)*(10/15) = 10/60 = 1/6

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: scale \: \: factor = \cfrac{new \: \: measure}{original \: measure} [/tex]

[tex]\qquad \sf  \dashrightarrow \: s = \dfrac{6}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: s = 3[/tex]

so, correct choice is D

The value P price they charges for shirts is (-0.008n) + 38

According to the statement

we have given that the 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $14 .

And we have to find the linear equation.So,

Let p = price

n = number of shirts

m = slope of the line   (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

And they gives us the two points like here (1000, $30) and (3000, $14) which have to be on our line.

To find the slope m, you use m = (p₁-p₂)/(n₁-n₂)

Filling in from our points       m = (30-14)/(1000-3000)

                                         m = 16/-2000

                                         m = -0.008

Now that we have the slope and a point, we can find our equation

p-p₁=m(n-n₁)

p-30=(-.008)(n-1000)

p-30= (-.008n) + 8

p=(-.008n) + 38

So, The value P price they charges for shirts is (-0.008n) + 38

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Answer:

8.1

Step-by-step explanation:

[tex]\sqrt{(-1-0)^2 + (5-(-3))^2}=\sqrt{65} \approx 8.1[/tex]

The data given illustrates that there's a constant ratio of 2 and y = 600(2)^x; 38400

The ratio based on the information given will be:

= 1200/600

= 2

Therefore, the constant ratio is 2.

In 6 years, the population will be:

= 600 × 2^6

= 600 × 64

= 38400

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