A volume of a coin is 113.04 mm2 what is the approximate of a sphere that has the same height and a circular base with the same diameter?Use 3.14 for x round to the nearest hundredth

Answer:

A

Step-by-step explanation:

hi.

The formula to calculate the expected population of Luttrell in t years, with a 10% annual growth rate, is P = 130,457 × (1 + 0.10)^t.

To determine the total expected population, P, of Luttrell in t years, given an annual growth rate of 10%, you would use the formula for exponential growth: P = P0 × (1 + r)t, where P0 is the initial population, r is the growth rate (expressed as a decimal), and t is the number of years after the initial time. In this case, since the population in 2012 (which is our initial time) is 130,457, and the growth rate is 10% or 0.10, the equation becomes P = 130,457 × (1 + 0.10)t. This equation will calculate the expected population after t years.

Final answer:

The equation to determine the total expected population of Luttrell in t years is P = [tex]130,457 × (1 + 0.10)^t,[/tex] where P is the population and t represents the number of years after 2012.

Explanation:

To determine the total expected population, P, of Luttrell in t years, given that it is expected to grow by 10% each year, you can use an exponential growth formula. The formula incorporating this percentage growth rate and starting population in 2012 is:

P = 130,457 × (1 + 0.10)^t

Here, 130,457 is the initial population in the year 2012, 1 + 0.10 represents the growth factor (where 0.10 is the 10% growth converted to a decimal), and t is the number of years after 2012.

For example, to find the population after 1 year (t = 1), you would calculate:

P =[tex]130,457 × (1 + 0.10)^1 = 130,457 × 1.10 = 143,502.7,[/tex] which you would round to the nearest whole person.

Answer:

60

Step-by-step explanation:

You first have to do the parenthesis

(5-7)= 5-7= -2

Then just multiply -30 by -2

Since negative x negative = positive, the answer will be positive.

(-2)(-30)= -2 x -30= 60

60

Answer: 75% or .75

Step-by-step explanation:

Answer:

0.75%

Step-by-step explanation:

Start off by laying it out

                  3

            ------------

                  4

        --------------------

                100

Now that we have a visual representation of it:

Multiply 3/4 by its opposite reciprocal.

This means multiply 3/4 by 1/100 which

when you flip and multiply like that, you are technically dividing

So now lets look at it like this

3                   1

----     x     ------------

4                 100

Here we'll multiply straight across which goes as follows

In the numerator our answer will be 3*1

In the denominator is 4*100

The final fraction.

3/400

Now lets turn that into a decimal

0.0075

Then multiply it by 100 and add a % on the end and done

0.75%

Answer:

$50,000 per year

($1,000 per week)

Answer:

G.P.A.=2.5

The Student did not make the Dean's List

Step-by-step explanation:

The Students Grade and Subject Weight are listed below.

[TeX]\left|\begin{array}{c|c|c|c}------&-------&------&------\\ Grade&Credit Hour& Grade Weight & Product \\------&-------&------&------\\ A & 3 & 4 & 12 \\ C & 4 & 2 & 8\\A & 3 & 4 & 12\\C & 2 & 2 & 4\\D & 4 & 1 & 4\\------&-------&------&------\\Total& &16 &40 \end{array} \right| [/TeX]

Grade Point Average=Total Credit Hour÷Total Number of Hours

=40÷16

G.P.A.=2.5

Since the Dean's list requires a GPA of 3.0 or greater, the student does not make the Dean's list.

Answer:

Step-by-step explanation:

According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.

If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.

Right-angled Triangles can be solved using pythagoras' theorem which says [tex]a^{2} + b^{2} = c^{2}[/tex].

a= 7, b=7, c=??

[tex]c^{2} = 7^{2} + 7^{2}[/tex]

[tex]c =\sqrt{98}[/tex]

c = 9.9 feet

Final answer:

The distance between the tire swing and the monkey bars is found using the Pythagorean theorem, which gives approximately 9.90 feet.

Explanation:

To find the distance between the tire swing and the monkey bars, we can model the situation using a right triangle. The slide being 7 feet due west of the tire swing and 7 feet due south of the monkey bars forms a right-angled triangle with the slide as the vertex where the right angle is, the tire swing and monkey bars forming the other two vertices.

Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), we can find the distance (hypotenuse) between the tire swing and the monkey bars.

In other words, we have:

a² + b² = c²

Given:

a = 7 feet (distance from slide to tire swing)

b = 7 feet (distance from slide to monkey bars)

We can calculate:

c² = 72 + 72 = 49 + 49 = 98

The distance (c) is the square root of 98, which is approximately 9.90 feet.

Therefore, the distance between the tire swing and the monkey bars is approximately 9.90 feet.

Step-by-step explanation:

By 30°-60°-90° triangle theorem:

[tex]15 = \frac{1}{2} \times c.. (side\:opposite \: to \:30°)\\ c = 15 \times 2 \\ \\ \huge \red{ \boxed{c = 30 \: m}} \\ \\ b = \frac{ \sqrt{3} }{2} \times c.. (side\:opposite \: to \:60°) \\ \\ b = \frac{ \sqrt{3} }{2} \times 30 \\ \\ \huge \purple{ \boxed{b = 15 \sqrt{3} \: m}}[/tex]

Answer:

21 kids

Step-by-step explanation:

Let's get started!

Ok, let's relay some information!

Boys: 18

Girls: 24

18 + 24

= 30 + 12

= 42

42 kids total

If we divide by two we get an even number also since it is divisible by two that means we can have the greatest amount of kids there.

42 ÷ 2

= 21

21 kids

Jerry spent 4/5 hour riding on the bus.

First, let's find the total time Jerry spent walking and riding the train:

Walking time = 2/5 hour

Train ride time = 1 4/5 hours

To find the total time spent, add these two:

2/5 + 1 4/5 = (2/5) + (1 + 4/5) = (2/5) + (1 + 4/5) = (2/5) + (5/5 + 4/5) = (2/5) + (9/5) = (2 + 9)/5 = 11/5 hours

Now, since Jerry spent a total of 11/5 hours walking and riding the train, to find out how much time he spent on the bus, we subtract this from the total time it took him to get to his grandmother's house:

Total time = 3 4/5 hours

Bus ride time = Total time - (Walking time + Train ride time)

              = 3 4/5 - 11/5

              = (15/5) - (11/5)

              = 4/5 hours

Complete Question:

Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.

Answer:

n = 696

Step-by-step explanation:

Sample size = 125

number of students out of the 125 that like Pizza = 58

Probability that a student will like pizza, P = 58/125

P = 0.464

Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:

n = 100 * P

n = 1500 * 0.464

n = 696

Answer:

7.1 yds

Step-by-step explanation:

i just answered it

Answer:

7.1

Step-by-step explanation:

Answer:

The value of ∠LPM is 60°

Step-by-step explanation:

It is given that a straight line is 180° and line LN is a straight line. So in order to find angle LM, you have to substract angle MN from 180° :

∠LPN = 180°

∠MPN = 120°

∠LPM + ∠MPN = 180°

∠LPM = 180° - ∠MPN

= 180° - 120°

= 60°

Answer:

60°

Step-by-step explanation:

LPN is a diameter (straight line passing through the centre)

X + 120 = 180

X = 60°

Answer:

Type of coffee

Step-by-step explanation:

First, that is, it is the independent variable.

It is the variable that does not depend on another value or other circumstance, it is the variable that generally would be the options to choose from and depending on what is chosen, different results are obtained.

In this case, the variable that has this behavior is the type of coffee that will be taken, whether it is caffeinated or decaffeinated coffee.

Final answer:

To calculate Payne's annual contribution, multiply the annual premium by 20% and subtract that amount from the annual premium.

Explanation:

To calculate Payne's annual contribution, we need to determine 20% of the total cost of the health insurance premium and then subtract that amount from the annual premium.

Step 1: Find 20% of $6,486. Multiply $6,486 by 0.2 to get $1,297.20.

Step 2: Subtract the 20% contribution from the annual premium. $6,486 - $1,297.20 = $5,188.80.

Payne's annual contribution is $5,188.80.

Answer:

90

Step-by-step explanation:

If we have total around 281 items, and we can divide them into groups of 3.

We can make around 281/3 groups which is about 90

[tex]y=4-x^2\\x-y=2 \\ \\ y = 4 - {x}^{2} \\ x = 2 + y \\ \\ y = 4 - {(2 + y)}^{2} \\ {y}^{2} + 5y = 0 \\ y(y + 5) = 0 \\ y = 0 \\ y = - 5[/tex]

[tex]x = 2 + 0 = 2[/tex]

[tex]x = 2 + ( - 5) = -3[/tex]

Answer:

The percent change is 16.67

Step-by-step explanation:

Answer:

16.7%

Step-by-step explanation:

Her weight decreased by 30 lb.

Expressed as a fraction:  (-30 lb)/(180 lb) = (-1/6)

As a percentage, her weight loss came to (-1/6)(100%) = 16.7%

Wait 8 to 10 years and he might come back.

Answer:

at this point, probably never

Step-by-step explanation:

well besides that, have a great day!

answer:

yeah i dont knoww....

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the difference between the second and fifth elements of the set after it has been ordered from least to greatest

Answer: The actual distance is 142 miles.  

Step-by-step explanation:

First, you multiply the 3.375 inches by 42 miles since you are trying to scale. It equals 141.75. If you round it to the nearest mile, it equals 142 miles.

Answer:

Step-by-step explanation:

Given that "A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. If N is the number of young people between 15 and 25"

From the given we can write

Total people between 15 and 25 age = N

Number of people who buys iPods is 40% of  N is

[tex] = \frac{40}{100}\times N[/tex]

= 0.4N

From the given we have that 35 % are enjoy  listening to Country music means  

[tex]= \frac{35}{100}\times 0.4N[/tex]

[tex]=0.35\times 0.4N[/tex]

= 0.14N

Final answer:

Calculating 35% of 40% of the young people between 15 and 25 years who will buy an iPod, the number who will enjoy listening to country music on their iPods is 0.14N, making choice (c) the correct answer.

Explanation:

To determine the number of young people between 15 and 25 years old who will enjoy listening to country music on their iPods this year, we can first calculate the number of young people who will buy an iPod. Since 40% of the group is expected to buy an iPod, this is 0.40N. Next, out of these iPod owners, 35% enjoy listening to country music. Therefore, we can find the number of iPod owners who enjoy country music by taking 35% of the 40%, which is 0.35  times 0.40N. This calculation results in 0.14N young people enjoying country music on their iPods.

This leads us to the answer choice (c) 0.14N.

Answer:

8i - 7j - 9k

Step-by-step explanation:

We have three points:

A (1,0,3)

B (2,5,0)

C (3,1,4)

First of all, we write the following two vectors:

[tex]AB=(2-1,5-0,0-3)=(1,5,-3)[/tex]

[tex]BC=(3-2,1-5,4-0)=(1,-4,4)[/tex]

These two vectors connect A with B and B with C, and since these 3 points lie on the plane, the two vectors also lie on the plane.

Therefore, the cross product of these two vectors must be a vector perpendicular to the plane.

The cross product of the two vectors is:

[tex]AB \times BC = i(5\cdot 4 -(-3\cdot-4))+j(-3\cdot 1 -1\cdot 4)+k(1\cdot -4-5\cdot 1)=\\=8i-7j-9k[/tex]

And the equation of the plane can be found as:

[tex]8(x-a_x)-7(y-a_y)-9(z-a_z)=0\\8(x-1)-7(y-0)-9(z-3)=0\\8x-7y-9z=-19[/tex]

Answer:

A on Edge 2020

Step-by-step explanation:

Answer:

  1

Step-by-step explanation:

A graph shows you very quickly that the maximum value of y is 1.

__

There are several ways to get there algebraically. The axis of symmetry is given for ax^2 +bx by x=-b/(2a). Here, that value is x=(-6)/(2(-1)) = 3. The maximum y-value will correspond to this x-value:

  y = -3² +6·3 -8 = -9 +18 -8 = 1

The maximum value of y is 1.

__

The axis of symmetry can also be found by factoring:

  y = -(x -4)(x -2)

It is halfway between the values of x that make these factors zero, so is ...

  x=(4+2)/2 = 3

For that value of x, we find y to be ...

  y = -(3 -4)(3 -2) = 1

__

We can also rearrange the equation to vertex form:

  y = -(x^2 -6x) -8

  = -(x^2 -6x +9) -8 -(-9)

  = -(x -3)^2 +1

The vertex is (3, 1), so the maximum value of y is 1.

Answer:

4.38

Step-by-step explanation:

Answer:

Its 4.38

Step-by-step explanation:

Its because 4.377¨s hundredth place is the 7 near the 7 so rounding a digit with a number of 5 or greater would lead to changing the hunderedth place into a bigger number.

Answer:

likely

Step-by-step explanation:

Answer:

18 feet

Step-by-step explanation:

After each bounce, the ball reaches only a percentage of the maximum height it reached before.

The first height is 36 feet, after the first bounce, it will be 36*r, where r is the ratio of the height the ball can still reach by the previous maximum height.

In the second bounce, the height is 36*r^2

In the third bounce, the height is 36*r^3

In the fourth bounce, the height is 36*r^4, and this value is 2.25 ft, so:

36*r^4 = 2.25

r^4 = 2.25/36

r^4 =  0.0625

r = 0.5

So, after the first bounce, the height is:

36*r = 36*0.5 = 18 feet

The height should be 18 feet.

Given that,

Based on the above information, the calculation is as follows:

The first height is 36 feet.

Now after the first bounce, it will be 36r

Here r is the ratio of the height

In the second bounce, the height is [tex]36\times r^2[/tex]

In the third bounce, the height is [tex]36\times r^3[/tex]

In the fourth bounce, the height is [tex]36\times r^4[/tex], and this value is 2.25 ft, so:

Now

[tex]36\times r^4 = 2.25\\\\r^4 = 2.25\div 36\\\\r^4 = 0.0625[/tex]

r = 0.5

Now  

So, after the first bounce, the height is:

= 36r

= 36(0.5)

= 18 feet

Therefore we can conclude that The height should be 18 feet.

Learn more: brainly.com/question/17429689

Answer:

The sample space is: AV, WV, SV, AB, WB, and SB

Step-by-step explanation:

The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.

So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.

It means that the sample space is:

AV, WV, SV, AB, WB, and SB

where, for example, AV is the possibility to be registered in fall and in volleyball.

Therefore, the display that correctly represents the sample space is the one that has all these possibilities.

Answer:

x= 8, x= -8

Step-by-step explanation: 8 and -8