The intensity I of a light a distance x meters beneath the surface of a lake decreases exponentially. From the illustration, find the depth at which the intensity will be 60%. (Round your answer to the nearest meter.)

Answer:The radius and height of a right cylinder are each doubled What is the change in the volume of the cylinder

In order to find the volume of a cylinder, you would use the formula V=3.14*r2*h. In the formula, the radius is being squared. That means that doubling the radius of the cylinder will quadruple the volume. For example, let's say we have a cylinder with a radius of 2 inches and height of 3 inches.

Step-by-step explanation:

the height must decrease

Step-by-step explanation:

Answer:

To find the minimum/maximum or the graph or the vertex is (9,-62)

The difference with any previous decade is much greater than the margin of error.

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely. Because the margin of error depends on the level of confidence, multiple margins of error are available from the same data set.

Thus, although year after year the temperature difference is within the margin of error contemplated in the study, the truth is that the sum of several years shows differences that are not included within this margin, which proves that climate change is real and its negative effects are too.

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Final answer:

Long-term data analysis shows a clear warming trend in global temperatures over the past century, significantly exceeding the margin of error. The increased frequency of warm temperatures and the scientific consensus among multiple groups validate the occurrence of anthropogenic global warming.

Explanation:

A strong counterargument to the media personality's claim that global temperatures are not rising because the yearly increase is within the margin of error is to emphasize the long-term trend and robustness of the data. Examination of global temperature trends over longer periods clearly shows that, even with margins of error considered, there has been a significant increase in global temperatures.

For instance, averaged over land and ocean, Earth's temperature over the past century has increased by approximately 0.7°C, a result that multiple groups worldwide have corroborated using various analytical methods. This consensus adds strength to the argument. When comparing temperature differences with previous decades or even centuries, the change significantly exceeds the margin of error, revealing a clear warming trend.

Moreover, the probability of warm and extreme warm temperatures has increased, while the probability of cold and extreme cold temperatures has decreased, supporting the conclusion that anthropogenic global warming is occurring and substantiating its impact beyond the bounds of statistical uncertainty.

Answer: The two point questions are 45, while the four point questions are 5.

Step-by-step explanation: We shall start by assigning letters to the unknown variables. Let the first type of question be called a and the second type of question be called b.

If the final exam is made up of 50 questions, that means

a + b = 50

Also if some questions are two points while others are four points and the total score for all of them is 110 points, then

2a + 4b = 110

(That is, we assume that a is the two point question and b is the four point question, so total score equals 110)

We now have a pair of simultaneous equations

a + b = 50 ————(1)

2a + 4b = 110 ——-(2)

From equation (1), we shall make a the subject of the equation,

hence let a = 50 - b

Substitute for the value of a in equation (2)

2a + 4b = 110

2(50 - b) + 4b = 110

100 - 2b + 4b = 110

By collecting like terms we now have

4b - 2b = 110 - 100

2b = 10

Divide both sides of the equation by 2

b = 5

Now substitute for the value of b into equation (1)

a + b = 50

a + 5 = 50

Subtract 5 from both sides of the equation

a = 45.

Therefore the two point questions are 45, while the four point questions are 5

**A quick check would show the following results ; 2(45) + 4(5) = 90 + 20 = 110.**

There are 45 questions worth 2 points each and 5 questions worth 4 points each on the 110-point final exam consisting of 50 questions.

Let's call the number of 2-point questions "x" and the number of 4-point questions "y." We can set up a system of equations to represent the information given:

1. The total number of questions is 50:

  x + y = 50

2. The total number of points is 110:

  2x + 4y = 110

Now we have a system of two equations with two variables:

1. x + y = 50

2. 2x + 4y = 110

We can solve this system of equations using either the substitution method or the elimination method. Let's use the elimination method:

First, let's multiply the first equation by 2 to make it easier to eliminate x:

1. 2(x + y) = 2(50)

2x + 2y = 100

Now we have the following system of equations:

1. 2x + 2y = 100

2. 2x + 4y = 110

Now, subtract the first equation from the second equation to eliminate x:

(2x + 4y) - (2x + 2y) = 110 - 100

This simplifies to:

2y = 10

Now, divide both sides by 2 to solve for y:

2y/2 = 10/2

y = 5

So, there are 5 questions worth 4 points each (4-point questions), and we can find the number of 2-point questions by substituting the value of y back into one of the original equations (e.g., the first equation):

x + 5 = 50

Now, subtract 5 from both sides to solve for x:

x = 50 - 5

x = 45

So, there are 45 questions worth 2 points each (2-point questions).

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Answer:

x= -59

Step-by-step explanation:

x-31=-90

Adding 31 to both sides we get

x-31+31=-90+31

x=-59

Answer:

x-31=-90

add 31 to both sides

x - 31 + 31 + = -90

simplify:

x = -59

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

log4(16)

Rewrite 16 as a power of 4

16 =4^2

log 4(4^2)

We know that log a (b^c) = c log a (b)

2 log 4(4)

We also know that loga (a) =1

2 *1

2

Answer:

The answer is B. 2 on ed.

Step-by-step explanation:

Answer:

[tex]f+4\leq 15[/tex] solves to [tex]f\leq 11\\[/tex] and ill provide graph below

Step-by-step explanation: hope i helped have a great day!

Answer: multiply it

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

-i

Step-by-step explanation:

i²³⁵ = i²³² × i³

= (i⁴)⁵⁸ × -i

= -i

Answer:

(x+3)^(1/2)

Step-by-step explanation:

something to the 1/2 power is equal to square root.

Answer:

А. 13.07

Step-by-step explanation:

Significant figures are the number of digit from a number that have meanings. The higher the significant figures of a number, the higher its accuracy will be.  The only non-zero number will be count as significant figures unless the zero is between two non-zero numbers like 13.07, the zero placed between 3 and 7. Some number also doesn't count as significant figures like the leading zero.

All other option just shows 3 significant numbers, so the answer is 13.07

Answer:

n = 1/5 or 0.2

Step-by-step explanation:

Given

127/n = 635

Cross multiply

127 = n x 635

Divide both sides by 635

127/635 = n x 635/635

Divide both the numerator and denominator by 127.

We have

1/5 = n

n = 1/5 or

n = 0.2

Answer: they are not parallel because the two given alternate interior angles are not congruent .

Step-by-step explanation: i am on the lesson right now and i got it correct .

Answer:

  five and eight hundredths

Step-by-step explanation:

I was taught to reserve the word "and" to mark the decimal point when the number has a fraction. The integer part is "five." The fractional part is "eight hundredths." Together, the word form might be ...

  five and eight hundredths.

__

If I were reading this to someone, including myself, I might say it as ...

  "five point oh eight".

_____

Comment on ambiguity

The reason for being particular about marking the decimal point is so you don't get into trouble with something like ...

  1000.13 . . . . . one-thousand and thirteen hundredths

which is different from ...

  1013/100 . . . . one-thousand thirteen hundredths

Some folks will pronounce 1013 as "one-thousand and thirteen." Doing so will get you in trouble in the above situation, where you have 1013/100.

Final answer:

The correct word form of 5.08 is explained as five and eight hundredths.

Explanation:

The correct word form of 5.08 is five and eight hundredths. When writing decimal numbers in words, the digit to the right of the decimal point is read as a whole number followed by the place value of the digit to the right.

In this case, 5.08 is read as five and eight hundredths.

Answer:

V= 2 times 4 times 5

Step-by-step explanation:

In order to calculate the volume of a figure u must calculate lwh or length times width times height. In this case length is 5 width is 4 and height is 2. This can be plugged in and becomes 2 times 4 times 5.

Answer:

[tex]V= 2*4*5[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]V=w*h*l[/tex] so substituting:

width = 4 cm

length = 5 cm

height = 2 cm

So the equation would be [tex]V=2*4*5[/tex] and the volume would be [tex]V=40[/tex].

Answer:

28.8 million barrels.

Step-by-step explanation:

The percentage of production of Gasoline and Kerosene from Crude oil are 34% and 14%.

So, the Gasoline and Kerosene is totally produced by (34 + 14) = 48%.

If the production of Crude oil is 60 million barrels, then the production of Gasoline and Kerosene combined from this amount of Crude oil will be

[tex]60 \times \frac{48}{100} = 28.8[/tex] million barrels. (Answer)

By taking the sum of the percentages of Gasoline and Kerosene from the total crude oil production, we find that 48% of the 60 million barrels produced was Gasoline and Kerosene, which equates to 28.8 million barrels.

The total production from Crude oil is given as 60 million barrels. The total percentage of Gasoline and Kerosene is obtained by adding the individual percentages. Gasoline is 34% and Kerosene is 14%, so the total is 48%.
To find the total production of Gasoline and Kerosene, we must multiply this percentage by the total production.

Calculation: 48/100 * 60 million = 28.8 million barrels

So, the total production of Gasoline and Kerosene combined was 28.8 million barrels.

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Answer:

The one on the far left.

Step-by-step explanation:

Whenever you have a quadratic, you will tend to see the y values mirror each other.

Example:

x | -2 | -1 | 0 | 1 | 2 |

y | 6 | 3 | 1 | 3 | 6 |

This is why, when graphed, it make a U shape.

Answer:

$49376.25 is the original price. rounded to nearest 1000 is $49000 and nearest 10000 is $50000

Step-by-step explanation:

Answer: $13.50.

Step-by-step explanation: 81 divided by 6 = 13.5. That means he got $13.50 an hour.

His hourly rate of pay is $13.50. You would need to divide 81/6 since you want to figure out x/1.

The invention that made the rise of the personal computer possible is the microchip (option C).

The computer, as we know it today, is the result of a series of innovations and contributions by many people over several decades. It is difficult to attribute its invention to a single person. Charles Babbage - an English mathematician and inventor who designed the first mechanical computer, the Difference Engine, in the early 19th century.

Here,
The invention that made the rise of the personal computer possible is microchips (option C). Microchips, also known as integrated circuits, are tiny electronic circuits consisting of miniaturized transistors and other components on a small silicon wafer. Microchips allowed the production of smaller, faster, and more powerful computers, making it possible for personal computers to becoming widely available and affordable. While cellular telephones and DVRs have had their own impact on technology, they did not play a significant role in the development of personal computers. Vacuum tubes, on the other hand, were used in the earliest electronic computers but were eventually replaced by transistors and then microchips.

Thus, the invention that made the rise of the personal computer possible is the microchip (option C).

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Answer:

B) Reflection

Step-by-step explanation:

The two figures mirror each other.

The opposite statements are :

The opposite statements are those which negates a given sentence in terms of direction or magnitude .

For A.

For B.

For C.

Answer: 250.5g of meat per guest

Step-by-step explanation:

Convert kg to gram to be in the same unit, 1kg = 1000g; therefore multiply 4.008kg by 1000= 4008g

With 4008g of meat available, Divide the available gram of meat by the number of guests

=4008g÷ 16

=250.5g is available per guest

I hope this helps.

Answer:

3000$

Step-by-step explanation:

900$ 30% /:30

30$ 1% /*100

3000% 100%

Mr. Clark's monthly salary is $3000, determined by dividing his food expenses of $900 by 30%, which is the portion of his salary he allocates to food.

To determine Mr. Clark's monthly salary, we use the information given that $900, which he spent on food, is 30% of his monthly salary. To find the total salary, we can set up a simple equation and solve for the salary.

Let salary be the total monthly salary of Mr. Clark. Then, 30% of the salary is equivalent to the amount spent on food:

To find the salary, divide both sides of the equation by 0.30:

Therefore, Mr. Clark's monthly salary is $3000.

This simple percentage calculation is a fundamental concept in managing a personal budget and understanding how much of one's income is dedicated to different expenses like food, housing, and savings.

Exponential growth is the process through which quantity rises over time. The population of the birds will reach 100,000 in 16.6 years from 2001.

Exponential growth is the process through which quantity rises over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportionate to the amount itself.

In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000.

As per the given information the population of the bird changed from 47,000 to 59,000 in five years, therefore, we can write,

59,000 = 47,000(1+r)⁵

(59/47) = (1+r)⁵

1.046528 = 1+r

r = 0.046528

Now, the time it will take for the population to reach 100,000 will be,

100,000 = 47,000(1+0.046528)ⁿ

[tex]\dfrac{\log(\frac{100}{47})}{\log{1.046528}} = n\\\\n = 16.6019[/tex]

Thus, the population of the birds will reach 100,000 in 16.6 years from 2001.

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Final answer:

Using the given data, the bird population is increasing at a rate of 2,400 birds per year. If this rate continues, the population is expected to reach 100,000 by the year 2022.

Explanation:

The question involves calculating the year when the bird population will reach a certain number, assuming a consistent growth pattern. Based on the data provided:

First, determine the annual growth rate over the 5-year period from 2000 to 2005:

Growth = 59,000 - 47,000 = 12,000 birds

Annual growth rate = Growth / 5 years = 12,000 / 5 = 2,400 birds/year

Next, calculate the number of years needed for the population to grow from 59,000 (in 2005) to 100,000:

Number of years = (Target population - Population in 2005) / Annual growth rate

= (100,000 - 59,000) / 2,400

≈ 17.08 years

To find the target year, add the number of years to 2005 and round to the nearest year:

Target year = 2005 + 17.08 ≈ 2022

Therefore, if the trend continues, the bird population is predicted to reach 100,000 in 2022

Answer:

c = 3πcm

Step-by-step explanation:

from the question area of the circle is given to b 9/4 πcm²

circumference of the circle  in terms of π = ?

the formula for finding the Area of a circle = πr²

Since the area was given to be

(9/4)π = πr²

divide both sides by π

we have

9/4 = r²

we apply the cross multiplication rule

so we have,

4r² =  9

divide both sides by 4

r² = 9/4

r = √9/4

r = 3/2

now to find the circumference of the circle , we apply the formula for finding the circumference of a circle which is

c = 2πr

from our calculations radius r = 3/2

c = 2 ( π × 3/2)  [ 2 cancels 2]

c = 3πcm