What is the approximate volume of a cylinder with a radius of centimeters and a height of 4centimeters?
Use 3.14 for π and round the answer to the nearest tenth.

A. 150.7 cm3
B. 28.3 cm3
c. 113.0 cm3
d. 75.4 cm3

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

300.5

Step-by-step explanation:

Firstly, you must remember PEMDAS. This formula shows what order to do which parts of the equation!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

The parenthesis mean that we must do the two equations in them separately.

So, first do 3 x 10². Next, do 5 x 1/10. Finally, add the two products together!

3 x 10² = 300

5 x 1/10 = 0.5

300 + 0.5 = 300.5

:)

We can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

What is a derivative of a function?

The derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

To determine whether the rocket is ascending or descending at a given time, we need to find the derivative of the function h(t) and determine whether it is positive or negative.

The derivative of h(t) is given by h'(t) = -t²+42t+43. This is the rate of change of the height of the rocket at any given time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

At t = 1 second, h'(t) = -1 + 42 + 43 = 44. Since the derivative is positive at t = 1, we know that the rocket is ascending at this time.

Hence, we can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

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Answer:

y=1/5x

Step-by-step explanation:

m=-2/10=-1/5

y=mx+b where m=slope and b=y-intercept

y=1/5x+0

y=1/5x

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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using ax + by + c, simply means make the coefficients integers only, right now we have a rational, -1/4 namely on "x", well, we can always do away with denominators by simply getting the LCD of all fractions and multiplying both of an equation by the LCD, lemme write this polynomial like an equation and let's apply the LCD.

\(-\cfrac{x}{4}-y+2=0\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -\cfrac{x}{4}-y+2 \right)=4(0)}\implies -x-4y+8=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{multiplying both sides by -1}}{\underset{\stackrel{\uparrow }{a}}{x}+\underset{\stackrel{\uparrow }{b}}{4} y\underset{\stackrel{\uparrow }{c}}{-8}=0}~\hfill\)

without using the =0 equation we can also just write it as   \(-4(\stackrel{}{\underset{\stackrel{\uparrow }{a}}{x}+\underset{\stackrel{\uparrow }{b}}{4} y\underset{\stackrel{\uparrow }{c}}{-8}})\)

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

180

Step-by-step explanation:

Multiply 24x4=96

Then, multiply 28X3=84

Finally add the 2 for a total of 180

Answer:

180 miles

Step-by-step explanation:

Basically, if he rode his bike 24 miles each week and he rode it for 4 weeks you would multiply 24 times 4, which gives you 96 miles. Then, you would do the same for the 28, 28 times 3 gives you 89 miles. Lastly, you add it all up. 96+89= 180 miles

:)

The volume of the triangular prism is 4.5ft³

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

The volume of a triangular prism = area of the triangular base × height

area of base = 1/2 b× h

12in = 1foot

1 in = 1/12 foot

18 in = 1/12 × 18

= 1.5 feet

= 1/2 × 1.5× 2

= 1.5 ft²

Height of the prism = 3ft

Volume of the triangular prism = 1.5 × 3

= 4.5ft³

Therefore the volume of the triangular prism is 4.5 ft³

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The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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Answer:

\(f(a) = 2a + 8\)

\(f(x + h) = 2x + 2h + 8\)

\(\frac{f(x + h) - f(x)}{h} = 2\)

Step-by-step explanation:

Given

\(f(x) = 2x + 8\)

Required

\(f(a)\)

\(f(x + h)\)

\(\frac{f(x + h) - f(x)}{h}\)

Solving for f(a)

Substitute a for x in the given parameter

\(f(x) = 2x + 8\) becomes

\(f(a) = 2a + 8\)

Solving for f(x+h)

Substitute x + h for x in the given parameter

\(f(x + h) = 2(x + h) + 8\)

Open Bracket

\(f(x + h) = 2x + 2h + 8\)

Solving for \(\frac{f(x + h) - f(x)}{h}\)

Substitute 2x + 2h + 8 for f(x + h), 2x + 8 fof f(x)

\(\frac{f(x + h) - f(x)}{h}\) becomes

\(\frac{2x + 2h + 8 - (2x + 8)}{h}\)

Open Bracket

\(\frac{2x + 2h + 8 - 2x - 8}{h}\)

Collect Like Terms

\(\frac{2x - 2x+ 2h + 8 - 8}{h}\)

Evaluate the numerator

\(\frac{2h}{h}\)

\(2\)

Hence;

\(\frac{f(x + h) - f(x)}{h} = 2\)

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

she should at least have $1,150 in at least 575 weeks

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Question:

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $0.15 per kilogram, and she wants to spend $12 total.

What does point F represent in this context?

Answer:

Marcelina spends less that the intended amount of money and buy less than enough corn

The appropriate compatible numbers to use to estimate would be 20(1/2)

estimated product is 10, took the quiz :)

Answer: 20 1/2

10

Step-by-step explanation:

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

PUT THEM IN ORDER SO I CAN UNDERSTAND oh 56.86

Answer:

x-4=19

Step-by-step explanation:

Hope that helps!

Answer:

x-4 is equal to 19

may be this is answer of your questions

The difference between the functions is explained below

What are functions?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. The set of all pairs, also known as the function's graph, is the only way to express a function in a unique way. In science, engineering, and the majority of the branches of mathematics, functions are often utilized. Functions are allegedly "the principal objects of inquiry" in the majority of mathematical disciplines. Maps and mappings are other names for functions.

Two transformations of the function f(x) are given f(x+2) and f(x-2)

The first one increments the function by 2 and the next one decrements the function by 2.

Let us understand with the help of an example,

The function f(x) = x³

Then f(x+2) = (x+2)³ = x³ + 4x + 8

and f(x-2) = (x-2)³ = x³ - 4x + 8

We can clearly see that both functions expanded differently

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arc length formula:

where,

s=arc length (in radians)

r=radius

θ=central angle in radians

Replace,

Thus,

S = 31.41592

rounding to the nearest tenth,

Answer: S = 31.4

The numbers of pears and apples bought are 16 and 20 respectively

let

x = number of pears

y = number of apples

He bought 4 more apples than pears. Therefore,

He bought a number of pears and apples and paid $128 for them. Therefore,

y - x = 4

4y + 3x = 128

Therefore,

3y - 3x = 12

4y + 3x = 128

7y = 140

y = 140 / 7

y = 20

Therefore,

20 = x + 4

x = 20 - 4

x = 16

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The answer is 8.06.

Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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\(\cfrac{2x^3}{x+5}\div \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}\)

Answer:

D

Step-by-step explanation:

I don´t really understand.

I am so sorry!

The prοbability that Gage randοmly selects a chοcοlate chip cοοkie frοm the bag, eats it, then reaches back in the bag and randοmly selects a peanut butter cοοkie is 2/63.

Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is a number between 0 and 1, with 0 indicating impοssibility and 1 indicating certainty.

The tοtal number οf cοοkies in the bag is:

6 + 8 + 5 + 9 = 28

The prοbability οf Gage randοmly selecting a chοcοlate chip cοοkie frοm the bag is: 6/28 = 3/14

After Gage eats the chοcοlate chip cοοkie, there will be 27 cοοkies left in the bag, including 8 peanut butter cοοkies. Sο, the prοbability οf Gage randοmly selecting a peanut butter cοοkie frοm the bag is: 8/27

The prοbability οf bοth events οccurring is the prοduct οf the individual prοbabilities: (3/14) * (8/27) = 2/63

Therefοre, the prοbability that Gage randοmly selects a chοcοlate chip cοοkie frοm the bag, eats it, then reaches back in the bag and randοmly selects a peanut butter cοοkie is 2/63.

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