What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths place

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:

x

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

The unit rate is:  change in y over change in x

This graph goes up 2 and moves to the right 5, that means it is 2/5

Answer:  2/5

Answer: 26

Step-by-step explanation: you divide 468 and 18 and you get 26.

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:

Step-by-step explanation:

[tex]\frac{x^{4}+6x^{3}+5x^{2} -15x-2} {x+3}[/tex]

Answer:

Option 4

Step-by-step explanation:

x + 3 x = -3

(-3)⁴ + 6(-3)³ + 5(-3)² - 15(-3) - 2

= 7

Remainder is 7, so not a factor

Answer:

Marvin has 30 dollars

Step-by-step explanation:

there are 6 five dollar bills you could either multiply or add theses numbers.

1            2              3              4                 5                6

5           10            15            20              25               30

Final answer:

The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.

Explanation:

To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.

For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.

For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.

For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.

Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day

Answer:

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

Answer:B

Step-by-step explanation:On  usa test prep

The identification of the population and the sample for the given situation is option B. The population is all classrooms in the high school; the sample is the 10 classrooms selected.

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Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

Answer:

x = -7

Step-by-step explanation:

in order to solve this , make x the subject of formula:

9x + 16 = 4x - 19

9x + 16 - 4x = -16

5x = -19 - 16

5x =-35

x = -35 / 5

Answer:

6.5 cm

Step-by-step explanation:

The solution to the question above is solved in the attached picture.

Answer:

The height is 5 in

Step-by-step explanation:

V = l*w*h

Substitute in what we know

360 = 24 *3*h

360 = 72h

Divide each side by 72

360/72 = 72h/72

5 = h

The height is 5 in

Answer:

The height is 5 inches

Step-by-step explanation:

Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.

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:

(x+3)^(1/2)

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

Answer:

v=14

Step-by-step explanation:

The volume of a regulation softball with given diameter is 14 cubic inches.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³.

Given that, diameter of a softball is 3 inches.

Here, radius = 3/2 = 1.5 inches

Now, volume = 4/3 ×3.14×1.5³

= 14.13 cubic inches

≈ 14 cubic inches

Therefore, the volume of a regulation softball with given diameter is 14 cubic inches.

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Answer:

Hi there!

The correct answer is: Counterclockwise rotation about the origin by 90 degrees then followed by reflection about the x axis

Answer:

Option 1

Counterclockwise rotation about the origin by 90° followed by a reflection about the x-axis

Answer:

x=4

Step-by-step explanation:

-8-x=x-4x

Combine like terms

-8 -x =-3x

Add x to each side

-8 -x+x = -3x+x

-8 = -2x

Divide each side by -2

-8/-2 = -2x/-2

4 = x

Answer: 66cm^3

Step-by-step explanation:AB=a2

V=a2h

3

Solving forV

V=ABh

3=11·18

3=66cm³

Answer:

x= -6

Step-by-step explanation:

first you want to get rid of the 4 so on both sides you subtract 4

4-x²=-32

-4      -4  that will then make the problem

-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²

-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6

x=-6

Answer:

[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]

Check:

[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]

OK.

Alexandra bought 3 apples and 6 bananas

Number of apples = a

Number of bananas = b

From the information given, the equation to use will be:

a + b = 9 ....... i

1.75a + 0.40b = 7.65 ...... ii

From equation i, a = 9 - b ...... iii

Put equation iii into ii

1.75a + 0.40b = 7.65

1.75(9 - b) + 0.4b = 7.65

15.75 - 1.75b + 0.4b = 7.65

Collect like terms

-1.75b + 0.4b = 7.65 - 15.75

-1.35b = -8.1

b = 8.1/1.35

b = 6

She bought 6 bananas

Number of apples bought = 9 - 6 = 3 apples.

Therefore, Alexandra bought 3 apples and 6 bananas

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Answer:

C) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation. It is characterized by the property that all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

The statement that is NOT TRUE for similarity transformations is A) A similarity transformation is a composition of a finite number of dilations or rigid motions.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation.

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

This means that the angles in the original figure and the transformed figure are equal, and the ratio between corresponding side lengths remains the same.

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Answer:

-1

Step-by-step explanation:

X = 2

Lets substitute the equation:

3*2 + y = 5

6 + y = 5

Using equation rules.

y = 5-6

Therefore y = -1

Answer:

y=-1

Step-by-step explanation:

3x+y=5

When x=2

Substitute the value of x in the above equation

3(2)+y=5

6+y=5

Collect like terms

y=5-6

y=-1

Answer:

984 cm^2

Step-by-step explanation:

Base: 10 × 24 = 240

Rectangular faces: 13 × 24 = 312 (×2 = 624)

Triangular faces: 12 × 10 = 120

Add: 240 + 624 + 120 = 984

The cross-section will be a 10-sided polygon only when the plane makes a narrow angle with the base, i.e. it will cut one base and 8 edges of the prism, resulting in there being 10 points of intersection, leaving a 10-sided polygon as the cross-section.

Answer:

D

Step-by-step explanation:

I took it rate this one

Answer: the square root of 17 is irrational.

Step-by-step explanation:

17 can not be divided evenly therefor it is irrational

Answer:

D) 3x^2

Step-by-step explanation:

It starts at the origin, then it curves. But if you look at it, you can see the dots getting higher and more spaced out.

It's like 4x^2, but a little more spaced out.

Therefore, it is D.

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.