the concentration of the pollutant that pours into a lake is a function of time and initially increases quite rapidly, but due to the natural mixing and self-cleansing action of the lake, the concentration levels off and stabilizes at some saturation level. a train travels at a constant speed and its distance from the point of origin is a function of time. the population of a city, which is a function of time, starts increasing rather slowly, but continues to grow at a faster and faster rate.

It is true that the two graphs of g(x) = sin (x + 2π) and f(x) = sin x are identical.

The sine function is a periodic function, which means that the value of the sine function repeats itself after a regular interval. This regular interval is called the period. The period for a sine function is 2π radians. This means that the value of the sine function will be same for any two points separated by 2π radians.

If x = 0, then sin (x) = sin (0) = 0 and sin (x + 2π) = sin (0 + 2π) = sin (2π) = 0

If x = π/2, then sin (x) = sin (π/2) = 1 and sin (x + 2π) = sin (π/2 + 2π) = sin (5π/2) = 1

Thus, it can be seen that the graph of sin (x + 2π) replicates the graph of sin (x) exactly after one period of the sine function.

Thus, we conclude that it is true that the two graphs of g(x) and f(x) are identical.

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The answer for the given question is 92 Weeks

A numerical statement made up of two expressions joined by an equal sign is known as an equation.. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

The number of pages Deon reads per week should be w

The equation will be based on the question's condition, which is

Pages = 92 times in a week

Number of pages Deon reads every week = 92w

Therefore, Number of the pages Deon reads every week is 92 weeks.

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Answer:

44

Step-by-step explanation:

The equation to support the mathematical thinking will be x + 189 = 192 and the numbers needed is 3.

It should be noted that the information stated that she needs enough tiles to make three rows with 63 tiles in each row. The number of times needed will be:

= 63 × 3

= 189 tiles

The number of times that Miss Garcia need to make the border tiles cell in boxes of eight tiles in each box will be:

= 192 - 189 = 3

Therefore, 3 tiles are needed. It should be noted that 192 is the multiple of 8 closest to 189.

The equation to support the mathematical thinking will be:

x + 189 = 192

x = 192 - 189

x = 3

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160 square inches duct tape is needed to cover.

The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .

Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)

∵ The area is , ( 4 × 20 ) square inches = 80 square inches

for the  top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²

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160 square inches duct tape is needed to cover.

The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .

Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)

∵ The area is , ( 4 × 20 ) square inches = 80 square inches

for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²

160 square inches duct tape is needed to cover.

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Answer:

65a-15a^2

Step-by-step explanation:

Value of x = 42.5 ° and measure of angle 4 = 37.5 ° .

measure of angle 3 = measure of angle 8

( 3 x + 15 ) ° = ( x + 100 ) °

2 x = 85

x = 42.5 °

measure of angle 3 + measure of angle 4 = 180 °

measure of angle 3 = ( 3 x + 15 ) °

                                 = ( 3 * 42.5 ) + 15  

                                  = 142.5 °

Hence , measure of angle 4 = 180 - 142.5 ° = 37.5 ° .

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The numerical length of RS is 16.

Given, Point R is on line segment QS.

A line segment in geometry has two different points on it that define its boundaries. A stretch of a line that connects two locations is frequently referred to as a line segment. A line has no ends and can continue indefinitely in either direction, which is how it differs from a line segment.

QR = 4 , QS = 4x and RS  = 5x ₋ 9

we know that,  QS ₊ RS = QR

⇒ RS = QR ₋ QS

⇒ 5x ₋ 9 = 4x ₋ 4

unknown items move to the left of the equal sign and known items move to the right of the equal sign.

5x ₋ 4x = 9 ₋ 4

x = 5

therefore, RS = 5x ₋ 9

= 5(5) ₋ 9

= 25 ₋ 9

= 16

hence we get the length of RS as 16.

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Answer:

A. p - 0.25p

Step-by-step explanation:

Julie visited a craft store where all items were 25% off. She wants to program her calculator so she can input the marked price and the discounted price will be output. What is the expression for the discounted price on a marked price of p dollars?

She wants the calculator to return what the price is including the 25% discount. She will want her calculator to subtract 25%p from p so the equation will be:

p - 0.25p

option A returns what the price is including the 25% discount.

option B would return the item cost plus an additional 25%, not a discount of 25%

option C would return the marked price without the discount.

option D reflects the discount amount of 25%, not the price after the discount amount has been subtracted from the marked price.

option E tries subtract the marked price from the discount amount and would be negative.

Answer:

32.

Step-by-step explanation:

-|3-5|² + 4 • 3²

= - 2^2 + 4*9

= -4 + 36

= 32.

Answer:

32

Step-by-step explanation:

Subtract

5

from

3

.

−

|

−

2

|

2

+

4

⋅

3

2

The absolute value is the distance between a number and zero. The distance between

−

2

and

0

is

2

.

−

2

2

+

4

⋅

3

2

Raise

2

to the power of

2

.

−

1

⋅

4

+

4

⋅[tex]3^{2}[/tex]

Multiply

−

1

by

4

.

−

4

+

4

⋅

3

2

Raise

3

to the power of

2

.

−

4

+

4

⋅

9

Multiply

4

by

9

.

−

4

+

36

Add

−

4

and

36

.

32

Answer:

56 percent

Step-by-step explanation:

Answer:

90 minutes or 1 hour and 30 minutes

Step-by-step explanation:

Hey there!

In order to find out how long Amy studied for her math test, all we need to do is divide 3 hours by 2

First of all, we can convert 3 hours to 180 minutes since there are 60 minutes in 1 hour

Now, we divide 180 and 2

180/2 is 90

This means, Amy studied 90 minutes or 1 hour and 30 minutes for her math test

Answer:

Step-by-step explanation:

There are 7+4+1=12 marbles in the bag.  The chances of drawing a green one on the first draw is 7/12.  The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).

To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).

Answer:

y = 2

y = - 8/3

Step-by-step explanation:

The data set illustrated by this stem - and - leaf plot is 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123 (option b).

A stem-and-leaf plot is a table that is used to represent a dataset. A stem-and-leaf plot is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf.

The stem is the first number in the digit while the leaf is the last number. For example in the number 25, 2 would be the stem and 5 would be the leaf. A stem-and-leaf plot usually arranges the dataset in ascending order.

An advantage of a stem-and-leaf plot is that it contains all the data in the dataset. A disadvantage of the stem-and-leaf plot is that it can only be used for a small dataset.

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Answer:

-3

Step-by-step explanation:

9 − 4 |−3|

First find the absolute value of |-3|

|-3| is 3

9 − 4 *3

Multiply next

9 − 12

Then subtract

-3

Answer:

In the order they appear in the paragraph: different, measurement, coversions, world.

Step-by-step explanation:

"Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems."

The paragraph would not make sense if the words were in incorrect places.

Answer:

The first one is x=3y-5

The second one is y/2 + 3

Step-by-step explanation:

For the first one you have to switch sides

X-3=3y-8

X - 3=3y-8

Then you add three to both sides

X-3+3=3y-8+3

Then simplify

X=3y-5

For the second one

you switch sides then add 5 to both sides then simplify

2x-5+5=y+1+5

Y/2 +3 or

Y+6 /2

The similarities are

The differences are

The slope of a graph is the gradient of the graph. It is given by m = change in y/change in x

The similarities between finding the slope of a graph that x and y are 1:1 to that which x and y are not 1:1 are

The differences between finding the slope of a graph that x and y are 1:1 to that which x and y are not 1:1 are

So, the similarities are

The differences are

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The distance between the points is 4.3.

Given the points are C(2,4) and D (5,7)

let the two points be:

C (2,4) = (x₁ , y₁)

D (5,7) = (x₂ , y₂)

The length of the section of a line connecting any two places represents their distance. Only one line connects the two places, and it passes through both. The length of the line segment that connects the two places may therefore be used to compute the distance between them.

Distance between the points = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

substitute the points.

d = √(5 ₋ 2)² ₊ (7 ₋ 4)²

d = √(3)² ₊ (3)²

d =  √9 ₊ 9

d =  √18

d = 4.24

rounding off to nearest tenth

d = 4.3

Hence we get the distance between two points as 4.3.

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Answer:

4

Step-by-step explanation:

To calculate the intersection point equate the pair of components to each other. The equations can be rewritten as:

                                      [tex]t = 6 - s; \\ 4 - t = s - 2 ; \\ 12+t^{2} =s^{2};[/tex]

Simplifying the above three equations by substituting the value of “[tex]t = 6 - s[/tex]” in the last equation.

Therefore,

                   [tex]12+(6 - s)^{2} = s^{2} \\ 12s =60\\ s=5[/tex]

Now, substitute the value of "s" and calculate the value of "t".

Therefore,

                     [tex]t = 6-s\\ t=1[/tex]

Substituting the value of [tex]s = 5; t= 1[/tex] in all the three equations we get intersect points as [tex](1,1,25).[/tex]

What are the intersecting lines?

When two or more lines cross each other then it is called intersecting lines. The intersecting lines meet at a single point which is known as a point of intersection.

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Answer:

Constant of proportionality k = 7/4 if we take the proportionality relationship as ... number of minutes ∝ number of cupcakes Bor

number of minutes = k . (number of cupcakes)

Step-by-step explanation:

If a variable x is directly proportional to another variable y indicated by
x ∝ y

Then x = k.y where k is the constant of proportionality

Letting x be the number of cupcakes and y the number of minutes

number of cupcakes = k .  (number of minutes)
k = (number of minutes) / (number of cupcakes )
Here k, the constant of proportionality tells you how many many minutes it takes to ice 1 cupcake

For 40 cupcakes it takes 70 minutes. So k = 70/40 = 7/4

For 28 cupcakes it takes 49 minutes so for 1 cupcake it takes 49/28 = 7/4 so again that is the constant of proportionality

k = 7/4 given that number of minutes ∝ number of cupcakes

=>  number of minutes =  k. number of cupcakes

Note if we had x = number of cupcakes and y = number of minutes then k = 4/7 which is the number of cupcakes that can be iced in 1 minute

So one has to be careful to state what is proportional to what

Answer:

2 hours

Step-by-step explanation:

Answer:  2 hours

Step-by-step explanation:

using the relationship distance = speed × time, the time   = 2 hours

10 out of 400 means P(an accident/20-24)=10/400=1/40=0.025=2.5%

If less than 5% is unlikely,  then 2.5% probability makes it unlikely a randomly selected driver in that age group would be in an accident.

No, it's not of concern if you only get concerned about likely events.  But even an unlikely event is a worthy concern to the point of attempting to drive more safely, especially when insurance for the young is already very high, and would get even higher with an accident.

You might want to look at the car accidents.  Were they minor fender benders or accidents with injuries and fatalities,  or just car damage?  The less damage or injuries, the less concern you probably would have.

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According to the given data the quick ratio is equal to Quick Assets/Current Liabilities (2900/4590) which is 0.632.

The notion of inventory includes both raw materials utilized in production and finished commodities offered for sale. Inventory is one of a company's most significant assets because it is one of the primary sources of revenue generation and, as a result, a source of profits again for the company's shareholders. Inventory is divided into three categories: finished goods, work-in-progress, plus raw materials. It is classified as a current asset on a corporation's balance sheet.

Current liabilities=4590

Add:

Working capital=2170 Current assets=6760 Less:

Inventory=3860

Quick assets =2900

the current ratio = Current assets divided by Current Liabilities is.

6760/ 4590 = 1.47

Quick ratio is equal to Quick Assets/Current Liabilities

=  (2900/4590),

which is 0.632.

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Answer:

there is the answers I thinked of...hope its right

(may I ask u to give brainlist?I'm just trying to get next level)

Answer: distance is the answer

[tex]\left( \sqrt{-27} \right)^2\implies \left(\sqrt{(-1)(27)} \right)^2\implies \left( \sqrt{-1}\cdot \sqrt{27} \right)^2\implies \left( \sqrt{-1} \right)^2 \left( \sqrt{27} \right)^2 \\\\\\ i^2\cdot 27\implies -1\cdot 27\implies -27[/tex]