The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

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Answer:

3.6% per annum

Step-by-step explanation:

The formula for accrued amount on a loan(value of loan) is given by the formula if compounded yearly is

\(A = P\left(1 + r)^t\)

where

P = original loan amount

r = interest rate in decimal

t = number of years

We are given that the original loan amount
P = £5500

After 1 year the accrued amount
\(A = 5500(1 + r)^1\)

and we know that after 1 year, the value of the loan is £5698

Therefore

5698 = 5500(1 + r)

1+ r = 5698/5500 = 1.036

r= 1.036 - 1 = 0.036

In percentage terms 0.036 = 0.036 x 100 = 3.6%

Answer: n = 80 sorry if im wrong just give the other person the  Brainiliest

Step-by-step explanation:

have a nice day

If two notebooks and five pencils cost $2.25. Four notebooks and four pencils cost $3.60 one pencil costs $0.30.

To find the cost of one pencil, we can set up a system of equations based on the given information. Let's assume the cost of one notebook is N dollars and the cost of one pencil is P dollars.

From the first statement, we can write the equation 2N + 5P = 2.25. This equation represents the cost of two notebooks and five pencils equaling $2.25.

From the second statement, we can write the equation 4N + 4P = 3.60. This equation represents the cost of four notebooks and four pencils equaling $3.60.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From the first equation, we can isolate N in terms of P by rearranging it as N = (2.25 - 5P)/2.

Substituting this expression for N in the second equation, we get (4[(2.25 - 5P)/2]) + 4P = 3.60.

Simplifying and solving for P, we find that P = 0.30.

Therefore, one pencil costs $0.30.

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The number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

A random variable is a variable that can take on different values, depending on the outcome of a random event.

A discrete random variable is a random variable that can only take on certain values.

A continuous random variable, on the other hand, can take on any value within a given range.

The given number line has dots or points that represent the possible values that the random variable can take on.

The dots or points on the number line suggest that the random variable is discrete.

Therefore, the number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

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Answer:

The two triangles are related by   hypotenuse leg  

so the triangles are   congruent    

======================================================

Explanation:

The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.

The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.

Based on those tickmarks, and the fact we have right triangles, we can use the hypotenuse leg theorem to prove the triangles are congruent.

The hypotenuse leg theorem only works for right triangles.

Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".

Answer:

-14+8q

Step-by-step explanation:

Open the prentheses by using distributive property.

\(( - 7 + 4q)2 \\ - 14 + 8q\)

Answer:

Slope = -2/3

Step-by-step explanation:

Slope = change in y / change in x OR the rise/run

Slope = (5 - 1)/(-3 -3)

Slope = 4/-6

Slope = -2/3

Hope this helped!

Solution :

As we know that,

We have :

Substituting the values :

\( \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}\)

The diver who saw the most crabs per dive is Wet Suit Willy with an average crab per dive of 4.5 crabs.

An average is a mean or the central value obtained by dividing the sum of all data values by the number of data values.

Diver            Crabs observed     Dives     Average Crab per dive

Scuba Sam              33                     11               3

Wet Suit Willy          81                     18              4.5

Deep Diving Dan  104                    26              4

Thus, the diver who saw the most crabs per dive is Wet Suit Willy with an average crab per dive of 4.5 crabs.

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What are the dimensions of a rectangle whose area is represented by the expression 4932 – 16?

49x² - 16

LENGTH: 3

WIDTH:  11

Hope this helps ~

The number of overtime hours that James worked is gotten as; 7 hours

We are given;

Hourly rate per week = $12.50 per hour

Thus, total earned for the first 40 hours' = 12.5 * 40 = $500

Now, we are told he earns double of that rate for any hours worked after the 40 hours. Thus, if he earned a total of $675 for the week and the extra hours is denoted by x, then we have;

500 + 2(12.5x) = 675

675 - 500 = 25x

175 = 25x

x = 25/175

x = 7 hours

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A quasi-experimental research design used to study changes across the lifespan by observing the same participants at different points in time and measuring the same dependent variable at each time is called a longitudinal design.

A quasi-experimental research design similar to true experiment attempts to establish a cause-and-effect relationship between an independent and dependent variable. However, unlike a true experiment, a quasi-experiment does not depend on random assignment rather subjects are assigned to groups based on non-random criteria.

Longitudinal design is a quasi-experimental research design that involves repeated observations of the same variables over short or long periods of time. It is used to establish relationships between variables that are not related to various background variables and involves studying the same group of individuals over an extended period.

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The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

We are given the diameter of the sphere, which is 8 cm. The radius, r, is half the diameter, so:

r = 8/2 = 4 cm

Substituting this value of r into the formula for the volume of a sphere, we get:

V = (4/3)π(4³) ≈ 268.08

Rounding this to the nearest whole number, we get:

V ≈ 268

Therefore, the volume of the sphere to the nearest whole number is 268 cm³, which is option D.

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Answer:B At least 4 pounds but less than 6 pounds.

Step-by-step explanation:

Using histogram Option: D more than 4lbs but less than 6lbs is correct.

Histogram is virtual way to "display frequency data using bars and graphical representation of grouped frequencies".

According to the question,

A researcher weighed cantaloupes grown across a certain region the weight of cantaloupes and frequency is given in the histogram.

In order to find the third bin representation see the histogram's third bar it shows weight of the cantaloupes at least 4lbs but less than 6lbs.

Hence, Option: D more than 4lbs but less than 6lbs is correct.

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After answering the provided question, we can conclude that As a result,  equation each chair costs $1.50 to rent, and each table costs $6.25 to rent.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an analytical solution (=). For example, the argument "2x + 3 = 9" asserts that the quote "2x + 3" equals the value "9". The goal of equation solving is to determine the value or moral standards of the variable(s) that will allow the equation to be true. Equations can be simple or complex, regular or multidimensional, and include one or more factors. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in numerous different areas of mathematics, such as algebra, calculus, and geometry.

8c + 4t = 37 (equation 1)

3c + 2t = 17 (equation 2)

\(3c = 17 - 2t\\c = (17 - 2t) / 3\\8c + 4t = 37\\8[(17 - 2t) / 3] + 4t = 37\\(136 - 16t) / 3 + 4t = 37\\\)

\(136 - 16t + 12t = 111\\-4t = -25\\t = 6.25\\3c + 2t = 17\\3c + 2(6.25) = 17\\\)

\(3c + 12.5 = 17\\3c = 4.5\\c = 1.5\\\)

As a result, each chair costs $1.50 to rent, and each table costs $6.25 to rent.

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Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

There is sufficient evidence to conclude that the population standard deviation is different from 0.1.

What is test statistic?

A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Given,

            \(H_0:\sigma =0.1\\H_a:\sigma \neq 0.1\)

Test statistic:

Chi square=(20-1)*0.25^2/0.1^2=118.75

df=20-1=19

p-value=CHIDIST(118.75,19)=0.0000

Reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.

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Answer:

  (c)  III

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

__

  2x -6 -6x = 2 -4x . . . . eliminate parentheses

  -4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

__

  x +2 = 15x +10 +2x . . . . eliminate parentheses

  x +2 = 17x +10 . . . . one solution (x=-1/2)

__

  4 +6x = 6x +4 . . . . eliminate parentheses

  6x +4 = 6x +4 . . . . infinite solutions

__

  6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

Answer:

Step-by-step explanation:

\(2x^2-8x=2x times 2x-8x=4x-8x=-2x\)

Hope this helps :)

Answer:

9(3+5)

Step-by-step explanation:

GCF is 9, because thats the highest common number that both numbers can be divided by.

27/9 = 3

45/9 = 5

so,

9(3+5)

Answer:

(3x+y) (2x-7y)

Step-by-step explanation:

first write -19xy as a difference and you get 6x^2+2xy-21xy-7y^2

and then take the factor 2x from the expression that is 2x(3x+y) and do the same with the -7 that is = -7(3x+y). So this is you answer= (3x+y)(2x-7)

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, \(A=3x^2-x-10\)

The width of the room, \(b=(x-2)\)

We need to find the length of the room.

The area of the room is given by :

A = lb

\(l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)\)

So, the length of the room is equal to (3x+5).

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\( \frac{ \sin(30) + \tan(45) - \csc(60) }{ \sin(30) + \cos(45) + \cot(45) } = \\ \)

\( \frac{ \frac{1}{2} + 1 - \frac{1}{ \frac{1}{2} } }{ \frac{1}{2} + \frac{ \sqrt{2} }{2} + 1 } = \\ \)

\( \frac{ \frac{1}{2} + \frac{2}{2} - 2 }{ \frac{1}{2} + \frac{ \sqrt{2} }{2} + \frac{2}{2} } = \\ \)

\( \frac{ \frac{3}{2} - \frac{4}{2} }{ \frac{3 + \sqrt{5} }{2} } = \\ \)

\( \frac{ - \frac{1}{2} }{ \frac{3 + \sqrt{2} }{2} } = \\ \)

\( - \frac{1}{3 + \sqrt{2} } \\ \)

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Answer:

11°

Step-by-step explanation:

90°-79°

=11°

Hope it helps

Answer:

The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways

Step-by-step explanation:

1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll  albums is 5!/(2!(5 - 2)!) = 10 ways

Choosing the other 2 albums from the remaining 11 albums gives;

11!/(2!(11 - 2)!) = 55 ways

Total number of ways is then 10 × 55 = 550 ways

Choosing 3 from the 5 Diana Kroll  albums is 5!/(3!(5 - 3)!) = 10 ways

Choosing the other 1 album from the remaining 11 albums gives;

11!/(1!(11 - 1)!) = 11 ways

Total number of ways is then 10 × 11 = 110 ways

Choosing 4 from the 5 Diana Kroll  albums is 5!/(4!(5 - 4)!) = 5 ways

Choosing the other 0 album from the remaining 11 albums gives;

11!/(0!(11 - 0)!) = 1 way

Total number of ways is then 5 × 1 = 5 ways

Total number of ways = 550 + 110 + 5 = 665 ways

2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are  1 and 0 Diana Kroll albums as follows;

16!/(4!(16 - 4)!) = 1820 ways

With 1 Diana Kroll album gives

5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways

With 0 Diana Kroll album gives

5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways

Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330

Total number of ways with at least 2 Diana Kroll albums = 665 ways.

Answer:

c. 49

Step-by-step explanation:

(g o f) (3)

f(x) = 3x - 2

g(x) = x²

(g o f) (x) = (3x - 2)²

          = (3 × 3 - 2)²

          = (9 - 2)²

          =7²

          =49

The cost per gallon of gasoline is given as follows:

$2.93.

The cost per gallon of gasoline is obtained applying the proportions in the context of the problem.

The parameters for this problem are given as follows:

Hence the cost per gallon of gasoline is given as follows:

44.25/15.1 = $2.93.

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Answer:

The 48-pack has the better unit price per bottle

Step-by-step explanation:

Given the two packages of same brand water bottles, where:

We can compare which package has the better unit price per bottle by finding out how much each bottle costs, and the price per fluid ounce (fl oz) of each bottle.  

For the 48-pack, divide the total cost of $5.88 by the number of bottles for the whole package to determine the price of each bottle.

\(\mathsf{\frac{\$5.88} {48\:bottles}\:=\:\$0.1225\:per\:bottle}\)

Next, divide the price per bottle by 8 ounces to find the cost per fluid ounce of the 48-pack:

\(\mathsf{\frac{\$0.1225} {8\:fl\:oz}\:=\:\$0.015\:per\:fl\:oz}\)  

Similar to our solution for the 48-pack, we can determine the price of each bottle in a 28-pack by dividing the total cost of $5.98 by 28 bottles to determine the price of each bottle.

 \(\mathsf{\frac{\$5.98} {28\:bottles}\:=\:\$0.21357\:per\:bottle}\)

Next, divide the price per bottle by 10 ounces to find the cost per fluid ounce of the 28-pack:

\(\mathsf{\frac{\$0.21357} {10\:fl\:oz}\:=\:\$0.0214\:per\:fl\:oz}\)

Therefore, the 48-pack of 8-ounce bottles has a better unit price per bottle of $0.12 than the unit price per bottle of the 28-pack of water bottles of $0.21.