Swimming pool A holds 2^15 gallons of water. Swimming pool B hold 2^13 gallons of water. How many times as many gallons does pool A holds than pool B?​

- - - - - - - - - - - - - - - - - - - - - - - -

The explanation is below. Enjoy!

- - - - - - - - - - - - - - - - - - - - - - - -

First off- I'll divide the total by two. This ensures they both have a basic height.

108 / 2 = 54

Say Claire is double Zoe's height, divide 54 (Zoe's height) by 2 and give the quotient to Claire.

54 / 2 = 27

(Claire's height)

54 + 27 = 81 inches

(Zoe's height)

27 inches

- - - - - - - - - - - - - - - - - - - - - - - -

Have a great day/night!

(Consider leaving a Brainly, it'd help me quite a bit!)

~pinetree

The statement that the set {-1, 0, 1} is closed under multiplication, is true and can be proven.

As per the question statement, we are provided with a set {-1, 0, 1}.

We are required to determine if the above mentioned set is closed under multiplication or not.

To solve this question, we simply need to verify if the products of every distinct combination of 2 elements from the concerned set, belongs to the set itself or not, i.e., if we take any two elements "x" and "y", say, from the set "Z", then, [(x*y) ∈ Z].

Here, [tex][(-1)*0]=0[/tex], i.e., belongs to set {-1, 0, 1}.

[tex][(-1)*1]=(-1)[/tex] i.e., also belongs to set {-1, 0, 1}.

Finally, [tex](0*1)=0[/tex] i.e., also belongs to set {-1, 0, 1}.

Since,  the products of every distinct combination of 2 elements from the concerned set, belongs to the set itself, the statement that the set

{-1, 0, 1} is closed under multiplication, is true and proven.

To learn more about Sets closed under multiplication, click on the link below.

https://brainly.com/question/15088185

#SPJ1

Answer:

m<a=45

m<b=90

m<c=45

m<d=45

m<e=90

m<g=130

m<h=50

m<i=130

m<k=85

m<l=95

m<n=95

The column vector is discussed below.

In order to write a vector as a column vector: Work out the horizontal component ( x component). Work out the vertical component ( y component). Write the column vector.

Given:

a + b- c

So, If the number is positive, the direction is to the right.  

If the number is negative, the direction is to the left.

Also, If the number is positive, the direction is upwards.  

If the number is negative, the direction is downwards.

So, according to that 'a' will be in right ( upward) direction and 'b' also be in right ( upward) direction.

Then, 'c' is negative in left ( downward ) direction.

Learn more about column vector here:

https://brainly.com/question/14582477

#SPJ1

The inequality is 30 + 7.5v ≤ 135

The number of visits Emma could make to earn her first free movie ticket is 14

From the question, we are to write and solve an inequality which can be used to determine the number of visits Emma can make to earn her first fee movie ticket

From the given information,

"She receives 30 rewards points just for signing up"

and

"She earns 7.5 points for each visit to the movie theater"

If she visits the movie theater v number of times,

Then,

She would earn

30 + 7.5v points

Also,

She needs at least 135 points for a free movie ticket.

Thus,

The inequality that could be used to determine the number of visits, v, to earn a free movies ticket is

30 + 7.5v ≤ 135

Solving the inequality

30 + 7.5v ≤ 135

Subtract 30 from both sides

30 - 30 + 7.5v ≤ 135 - 30

7.5v ≤ 105

v ≤ 105/7.5

v ≤ 14

Hence, the number of visits Emma could make to earn her first free movie ticket is 14

Learn more on Writing an inequality here: https://brainly.com/question/22558824

#SPJ1

I'll use x in place of θ

Let's isolate the sine term and then square both sides

3sin(x) + 4cos(x) = 5

3sin(x) = 5-4cos(x)

(3sin(x))^2 = ( 5-4cos(x) )^2

9sin^2(x) = 25-40cos(x)+16cos^2(x)

9sin^2(x) = 25-40cos(x)+16(1-sin^2(x))

9sin^2(x) = 25-40cos(x)+16-16sin^2(x)

9sin^2(x)+16sin^2(x) = 25-40cos(x)+16

25sin^2(x) = 41-40cos(x)

25(1-cos^2(x)) = 41-40cos(x)

25-25cos^2(x) = 41-40cos(x)

Now let w = cos(x), so we now have the following

25-25w^2 = 41-40w

25w^2-40w+41-25 = 0

25w^2-40w+16 = 0

(5w - 4)^2 = 0

5w-4 = 0

w = 4/5

Therefore cos(x) = 4/5

Use the pythagorean theorem or unit circle to find that if cos(x) = 4/5, then it leads to sin(x) = 3/5. This is exactly because of the 3-4-5 right triangle.

Then lastly,

tan(x) = sin(x)/cos(x)

tan(x) = sin(x)  ÷  cos(x)

tan(x) = (3/5)  ÷  (4/5)

tan(x) = (3/5)  *  (5/4)

tan(x) = (3*5)/(5*4)

tan(x) = 3/4

Answer:

There are 63 M&M's in the bag when all of them are added together.

16 out of 63 (16/63) were yellow.

5 out of 21 (5/21) were green. This answer is simplified. The original is 15/63.

1 out of 3 (1/3) were brown. This answer is simplified. The original is 21/63.

11 out of 63 (11/63) were red.

Tip:

To find the fraction of something, put the total on the bottom and the wanted portion on the top.

Example: 5 yellow and 10 red birds were in a cage. Which fraction were yellow?

We put the total of birds (5+10 = 15) on the bottom and the portion wanted ("5 yellow") on the top. The fraction is 5 out of 15 (5/15). This fraction can be simplified because 5 goes into 15 three times (5 x 3 = 15), so divide the fraction 5/15 by 3 to get 1/3. (5 goes into 5 one time.)  

A kind of sampling strategy least likely to produce statistics that are good estimates of population parameters is a haphazard sample.

A haphazard sampling is method of sampling in which  the performer does not intend to use a systematic approach  for choosing a sample rather they do the random selection without using anu conscious bias.

Haphazard sampling assumes that all population units are alike but  unless they are really similar there is always a chance of selection falling prey to biases. Therefore, haphazard sample is least likely to produce statistics that are good estimates of population parameters.

Also, Learn more about haphazard sample from:

https://brainly.com/question/18958253

#SPJ1

Answer:

x∈(−25,25)

4x2−25<0

Add 425 to both sides.

x2<425

Calculate the square root of 425 and get 25. Rewrite 425 as (25)2.

x2<(25)2

Inequality holds for ∣x∣<25.

∣x∣<25

Rewrite ∣x∣<25 as x∈(−25,25).

x∈(−25,25)

Answer:  x > 5/4

First, add 25 to both sides

4x² < 25

Then take the square root

4x < 5

Finally, isolate the variable by dividing by 4

x < 5/4

Because you divided, the sign gets flipped

x > 5/4

Hope this helps!

Answer:

m=4/3

Step-by-step explanation:

slope=rise/run or y=mx+b

rise/run=8/6=4/3

Answer:

4731

Step-by-step explanation:

4389+342=4731

pls don't forget to mark as brainliest

The simple interest, in two years at the rate of 1.2% is 880

In this case, we must calculate how much interest 2000 would earn compounded yearly over two years at a rate of 1.2.

I = 880 in interest earned

Annually, the system may be evaluated in terms of simple interest.

A = P(rt) for the first year, where r = 1.2 and t = 1.

Therefore;

A = 2000(1.2×1).

A = 2400.

As a result, the revised Principal amount for the second year is 2400.

As a result, A' = 2400 (1.21).

A' = 2880.

As a result, the sum owing after two years is 2880.

However, because the initial principal is $2,000,

The interest is defined as I = A' - P, or I = 2880 - 2000.

I = 880 as a result of interest.

Simple interest is computed as S.I. = P R T, where P = Principal, R = Annual Rate of Interest in %, and T = Time, commonly expressed as the number of years. The interest rate is expressed as a percentage r% and is written as r/100.

The principle is the money borrowed from the bank or invested at the outset. P represents the principal.

Rate: The rate of interest at which the principle amount is handed to someone for a specific period of time; the rate of interest can be 5%, 10%, or 13%, for example. R represents the interest rate.

Time is the length of time for which the primary amount is supplied to someone. T represents time.

To  learn more about  Simple interest from the given link:

https://brainly.com/question/25845758

#SPJ9

Max is going to have more money than Shawn at the end of the seven weeks from the calculations

We would first have to define x to be the point where the money that they have would be equal

This is the week that is referred to as x

Sean would have $20 + $2x

Max would have $5x

When both amounts are equal, we would have sean = max

= $20 + $2x = $5x

Take like terms

20 = 5x - 2x

20 = 3x

divide through by 3

x = 20 / 3

= 6.6667

Remember

In 7 weeks sean = 20 + 2x 7 = 34

max = 5 x 7 = 75

Hence we can say that Max would have more money than Sean

Read more on quantities here:

https://brainly.com/question/22375193?referrer=searchResults

#SPJ1

The length of one side of the garage originally is 18.17 feet.

The length of one side of the garage now is 22.25 feet.

The percent increase is 22.4%.

A square is a quadrilateral with four sides of equal length. A square has two diagonals of equal length that intersect at right angles.

Given the area of a square, the length of one side can be determined by calculating the square root of the area.

Area of the square = length²

Length of one side of the square = √area

√330 = 18.17 ft

Area of the garage after it was increased : (1 + percentage increase) x initial area

(1 + 0.5) x 330

1.5 x 330 = 495 feet²

Length of the side of the garage after it is increased = √495 = 22.25 feet

The percentage increase = (22.25 / 18.17) - 1 = 0.224 = 22.4%

Here is the complete question:

Yossi used to have a square garage with 330ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

To learn more about a square, please check: https://brainly.com/question/9030544

#SPJ1

Answer:

B = -24

Step-by-step explanation:

a + b = 23

Since a = 47

47 + b = 23

Subtract 47 from each side

47 - 47 + b = 23 - 47

Therefore:

B = -24

Answer:

b = -24

Step-by-step explanation:

a + b = 23

Substitute 47 for a.

47 + b = 23

Rearrange the equation.

23 - 47 = b

-24 = b

Check your answer by substituting the value you found for b into the equation.

47 + (-24) = 23

The equation that can be used to find z in the right triangle is sin 28° = 20 / z

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The side and angles of a right angle triangle can be found using trigonometric ratios.

The triangle XMI is a right angle triangle.

where

∠M = 90 degrees

∠X = 28 degrees

∠I = ?

Therefore, the side z can be found as follows;

sin ∅ = opposite / hypotenuse

where

opposite side = 20

∅ = 28°

Hence,

sin 28° = 20 / z

learn more on right triangle here: https://brainly.com/question/12817082

#SPJ1

Answer: a

Step-by-step explanation:

a

The mode for the following distribution is-

Number Frequency 36, 3, 40, 5 ,44, 9, 48, 7 ,52 7, 56, 5, 60, 3

is 56.

Mode is most occurring number  is 56.

One of the values of the measurements of central tendency is the mode. This figure offers us an approximate notion of which elements in a data collection appear the most frequently.

For example, you may be aware that a college offers ten distinct courses to students. Now, out of them, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode notifies us about the item with the highest frequency in the data set.

The mode is one of the values of the central tendency measurements. This number offers us a sense of which elements in a data collection appear the most frequently.

For example, you may be aware that a college offers ten distinct courses to students. Out of these, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode informs us about the most frequent item in the data collection.

To  learn more about Mode from the given link

https://brainly.com/question/17727138

#SPJ9

Answer:

The answer is 44, as it occurs most frequently. The easiest way to remember this is "mode" equals "most".

The number of infected people will reach 568 in approximately 4 weeks

Exponential equations are inverse of logarithmic equation and are represented by the equation below:

y = ab^x

where

a is the base value and x is the exponent

Given the equation that shows the number of infected people from an outbreak of the measles as:

y = 4(6)^t

If the number of infected people reach 568, hence;

568 = 4(6)^t

568/4 = 4(6)^t/4

6^t = 568/4

6^t = 142

Take the natural logarithm of both sides

ln(6^t) = ln142

t = ln142/ln6

t = 4.37

Hence the number of infected people will reach 568 in approximately 4 weeks

Learn more on exponential equation here: https://brainly.com/question/12940982

#SPJ1

Answer: answer is 3

Step-by-step explanation: it is 3 because you do 1 d.p. plus a and b and you get 3

Teri tau KO tailai Mubarak ha bak

The value of x in the given object is 12.

The given shape is an equilateral triangle. A triangle is a three-sided polygon with three edges and vertices. The sum of angles in a triangle is equal to 180 degrees.

An equilateral triangle is a triangle in which the three angles are equal. This means that each angle in an equilateral triangle measures 60 degrees. Also, in an equilateral triangle the three sides are equal.

Since, all the three sides of an equilateral triangle is equal, the expressions for their sides can be equated to each other to determine the value of x

4x - 10 = 5x - 22

Combine similar terms: 22 - 10 = 5x - 4x

Add similar terms: 12 = x

To learn more about triangles, please check: https://brainly.com/question/22949981

#SPJ1

Answer:

$8.20

Step-by-step explanation:

2.35+2.35=4.7

4.7+1.5=6.2

6.2+2=8.2

Based on this parallel lines cut by a transversal, the true statements include the following:

B. m∠1 + m∠3 = 180 because they form a straight angle.

C. ∠3 ≅ ∠6 because they are alternate interior angles.

D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees (180°).

In conclusion, ∠1 and ∠6 are supplementary angles because ∠3 is congruent to ∠6 and m∠1 + m∠3 = 180 degrees as shown in the image attached below.

Read more on parallel lines here: brainly.com/question/2497532

#SPJ1

Complete Question:

Select all the true statements. Two parallel lines cut by a transversal. The transversal makes 4 angles with the top line. Angles 1 and 2 are above the line and angles 3 and 4 are between the lines. The transversal also makes 4 angles with the bottom line. Angles 5 and 6 are between the lines and angles 7 and 8 are below the bottom line. Between the lines, angles 3 and 6 are on opposite sides of the transversal and angles 4 and 5 are on opposite sides of the transversal.

A. ∠3 ≅ ∠2 because they are alternate interior angles.

B. m∠1 + m∠3 = 180 because they form a straight angle.

C. ∠3 ≅ ∠6 because they are alternate interior angles.

D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

E. ∠1 ≅ ∠3 because they are vertical angles.

The set which represents whole numbers but are not natural numbers is:{0,1,2,3 }

Given, we have the following sets:

{₋2,₋3,₋4} = Integers

Negative numbers and all entire numbers are both considered integers. A number without a decimal or fractional element is known as an integer, which encompasses both positive and negative numbers, including zero.

{0,1,2,3} = whole numbers

Whole numbers refer to all natural numbers, including zero (0). We are aware that the term "natural numbers" refers to a group of counting numbers beginning with 1, 2, 3, and so forth. Simply said, a collection of numbers that are whole numbers are those that do not contain any fractions, decimals, or even negative integers. There are zeroes and a group of positive integers in it. whereas all positive integers from 1 to infinity are included in the number system, which also contains natural numbers, which are also used for counting. There is no zero included.

{√₋1 , √₋4 , √₋5 }= Irrational numbers

We are aware that the only numbers that cannot be stated in the form of p/q, where p and q are integers and q 0, are real numbers. For instance, the numbers √5, √3, and so on are irrational.

hence we get the set which represents whole numbers but not natural numbers is {0,1,2,,3,4}

Learn more about Number system here:

brainly.com/question/16612919

#SPJ9

Answer:

 189 tickets

Step-by-step explanation:

The ratio 8 : 1 has a difference of 7 ratio units. The difference in tickets is 147, so each ratio unit must represent ...

 (147 tickets)/(7 ratio units) = 21 tickets/ratio unit

The total sales was 8+1 = 9 ratio units, so was ...

 (9 ratio units)(21 tickets/ratio unit) = 189 tickets

brainy please

Answer:

c

Step-by-step explanation:

The average of -1 and 8 is 7/2, so the absolute value should equal 0 at 7/2.

The only option that satisfies this is c.

After 7 years, the total amount accumulated is $13,691.43.

For the given question;

The formula for compound interest is;

CI = P(1 + r/n)∧nt

The rate rate of interest is according to APR; r = 4.4% = 0.044

P = principal amount ($5800).

t  = time in years (7 years)

n = number of times interest given per time period

n = 7×12 = 84 (as compounded monthly)

CI = 5800( 1 + 0.044/84)∧(84×7)

CI = 5800×(1.36)

CI = 7891.43

Thus, the total interest formed after 7 years.

Total amount in bank = principal amount + CI

                                   = 5800 + 7891.43

                                   = 13,691.43

Therefore, the total amount accumulated after 7 years is $13,691.43.

To know more about the compound interest, here

https://brainly.com/question/12325365

#SPJ1