Plot this on graph
2x+4y=8​

Answer:

972π  or 3052.08 if π=3.14(remember to label the answer with your units)

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\\[/tex]π[tex]r^{3}[/tex]. So, just plug the radius into the formula. [tex]r^{3}[/tex] in this case is [tex]9^{3}[/tex] which is 729. For, [tex]\frac{4}{3}[/tex]×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.

Answer:

5:9

Step-by-step explanation:

So since 18 chose to do oral report, that means (28-18) or 10 students decided to do a written report.

To find the written to oral report ration, we need to find for each student that did a written report, how many did an oral report? We can express this as a fraction and simplify to get the simplified ratio. So the the written will be the numerator and the oral will be the denominator: 10/18, to simplify this simply divide both sides by 2, to get 5/9 which gives us the simplified ratio of 5:9 meaning that for every 5 students who decided to do a written report 9 students decided to do an oral report.

The next line after computing the sample standard deviation is to; determine the 2.5th and 97.5th percentiles of the values.

It follows from the task content that the 95% confidence interval for the population standard deviation using the bootstrap method in which case, after numerous sampling, the 2.5th and 97.5th percentiles of the standard deviations are determined.

Read more on confidence interval;

https://brainly.com/question/15712887

#SPJ1

The correct answer is 64 - 3 a.

What is a linear equation in math?

I spent a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic ( b ).

a = b + 4.  Therefore: b = a - 4

Also I spent 15 less at American Eagle than I spent in Cole Haan ( c ).

a = c - 15, or: c = a + 15.

75 - a - ( a - 4 ) - ( a + 15 ) = 75 - a - a + 4 - a - 15 =

= 64 - 3 a

Therefore, I have 64 - 3a dollars left after shopping at these three stores. Now we just have to know how much dollars I spent at American Eagle and we will have the amount in dollars.

Learn more about linear equation

brainly.com/question/387530

#SPJ4

The complete question is -

I enter the mall with $75 dollars. I spend a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic. I also spent 15 less at American Eagle than I spent at Cole Haan. How much money do I have left after shopping at these three stores?

The solution to the equation (x+21)=7 is x = -14

The equation is given as:

(x+21)=7

Remove the brackets

x + 21 = 7

Subtract 21 from both sides

x + 21 - 21 = 7 - 21

Evaluate the expression

x = -14

Hence, the solution to the equation (x+21)=7 is x = -14

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

The height of the actual house is 26'.26" .

A ratio indicates how many times one number contains another.

Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.

Therefore,

height of Kelly / x = height of Kelly shadows / height of house shadow

Hence,

where

x = actual height of the house

5.4 / x = 8.7 / 42.3

cross multiply

42.3 × 5.4 = 8.7x

Therefore,

228.42 = 8.7x

divide both sides by 8.7

228.42 / 8.7 = 8.7x / 8.7

x = 26.2551724138

Therefore, the height of the actual house is 26'.26"

learn more on ratio here: https://brainly.com/question/20849502

#SPJ1

The equation of the graph in which the vertex (4,2) and a=-2 is

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

Given that the point of the vertex is (4,2) and a=-2.

Equation is like a relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation or many more depending on the power of variable in the equation.

We know that point of vertex look like (h,k) in the equation and equation look like as under:

y=a[tex](x-h)^{2} +k[/tex].-----------1

So in order to find the equation we have to just put h=4 and k=2 and a=2 in equation 1.

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

Hence the equation of the graph in which the vertex (4,2) and a=-2 is

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

Learn more about equation at https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Solving    3x2-5x-1 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B, and  C number, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -5

                     C   =   -1

 B2  -  4AC   =

      25 - (-12) =

             37

Applying the quadratic formula :

              5 ± √ 37

  x  =    —————

                   6

 √ 37, rounded to 4 decimal digits, is   6.0828

So now we are looking at:

          x  =  ( 5 ±  6.083 ) / 6

Two solutions:

x =(5+√37)/6= 1.847

x =(5-√37)/6=-0.180

It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

According to the statement

we have to find the probability of random permutation of the N numbers.

So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.

In this we order of select the objects randomly.

So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.

To find the permutations, start with 1,2,3,4,5 and undo a sequence.

For example, if let n=5, there are 24=16 out of 5!

which is 5! =120 that end after one round of bubble sort.

So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

Learn more about probability of a random permutation here https://brainly.com/question/14615273

#SPJ4

Based on the calculations, the maximum price per share that Schultz should pay for Arras is approximately equal to $53.00.

First of all, we would determine the cash flows for the company until the growth rate changes at a constant perpetual rate:

Year 1: $8,000,000(1 + 0.09) = $8,720,000.

Year 2: $8,720,000(1 + 0.09) = $9,504,800.

Year 3: $9,504,800(1 + 0.09) = $10,360,232.

Year 4: $10,360,232(1 + 0.09) = $11,292,652.88.

Year 5: $11,292,652.88(1 + 0.09) = $12,308,991.6392.

Year 6: $12,308,991.6392(1 + 0.06) = $13,047,5311.137552.

Next, we would calculate the terminal value in Year 5:

TV₅ = CF₆/(RWACC - g)

TV₅ = CF₆/(0.11 - 0.06)

TV₅ = $12,308,991.6392/0.05

TV₅ = $246,179,832.784.

By using Arras' cost of capital, we would determine its present value:

V₀ = $8,720,000/(1 + 0.11) + $9,504,800/(1 + 0.11)² + $10,360,232/(1 + 0.11)³+ $11,292,652.88/(1 + 0.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1 + 0.11)⁵.

V₀ = $8,720,000/(1.11) + $9,504,800/(1.11)² + $10,360,232/(1.11)³+ $11,292,652.88/(1.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1.11)⁵.

V₀ = 7,855,855.8559 + 7,714,308.9035 + 7,575,312.3467 + 7,438,820.2323 + 153,400,536.1422.

V₀ = $183,984,855.4806.

For the market value of the equity, we have:

S = 183,984,855.4806 - 25,000,000

S = $158,984,855.4806.

Now, we can find the maximum price per share:

Maximum price per share = 158,984,855.4806/3,000,000

Maximum price per share = $52.9949 ≈ $53.00.

Read more on maximum price per share here: https://brainly.com/question/15404593

#SPJ1

The side lengths that forms a right triangle are as follows:

A right angle triangle has one of its angle as 90 degrees. The sides of the triangle follows Pythagoras  theorem.

Therefore,

c² = a² + b²

where

The hypotenuse is the longest side of the right triangle.

Therefore, the side lengths that forms a right triangle are as follows:

learn more on right triangle here: https://brainly.com/question/14593341

#SPJ1

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

The type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

Accidental relationship is a type of correlation relationship whereby there is a strong correlation between two variables without a logical explanation for such relationship. It is often regarded as coincidental.

Therefore, the type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

Learn more about accidental correlation relationship on:

https://brainly.com/question/18829822

#SPJ1

The null hypothesis be is =15 and the alternative hypothesis be  is ≠15

According to the statement

Mean length of time on death row is 17.4 years

Standard deviation of 6.3 years.

Now we determine the hypothesis with mean time 15 years then

P value outcome is 0.00015

So, The null hypothesis be  is =15 and the alternative hypothesis be is ≠15

Learn more about HYPOTHESIS here https://brainly.com/question/12416923

#SPJ4

We can learn a lot about a population if we select a subset of it.

One kind of set is a sample space. It is a clear listing of every event that could occur in a statistical experiment. A statistical experiment's events are a subset of the sample space.

A subset is a smaller group of results that are part of the bigger group.

Subsets are events, and events are subsets. A subset is an event of a sample space, and an event is a potential result of an experiment. A random experiment's sample space is a set (S) that contains all of the experiment's potential outcomes.

Learn more about subsets here:

https://brainly.com/question/20509970

#SPJ4

Answer:

856.5ft^2

Step-by-step explanation:

I took the test.

The logarithmic equation of 8^x = 64 is [tex]x = \log_8(64)[/tex]

The exponential equation is given as:

8^x = 64

Take the logarithm of both sides

xlog(8) = log(64)

Divide both sides by log(8)

x = log(64)/log(8)

Apply the change of base rule

[tex]x = \log_8(64)[/tex]

Hence, the logarithmic equation of 8^x = 64 is [tex]x = \log_8(64)[/tex]

Read more about logarithmic equation at:

https://brainly.com/question/3181916

#SPJ1

Answer: a

/////////////////

Answer:

The correct answer is  A.

Step-by-step explanation:

The absolute value of any number is always positive.

The attached graph represents the scatter plot of the table of values

The table of values is given as:

Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Rewrite the table as:

x 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

y 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Next, we plot the values on a graph

See attachment for the scatter plot

Read more about scatter plot at:

https://brainly.com/question/13984412

#SPJ1

See below for the converse, inverse, and contrapositive of the statement

The statement is given as:

If Brielle drives at exactly 30 mi/h, then she travels 10 mi in 20 mins

The speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 10 mi/20 mins

This gives

Speed = 10 mi/1/3 h

Speed = 30 mi/h

The converse

To do this, we simply switch the hypothesis and the conclusion

So, the converse is:

If Brielle travels 10 mi in 20 mins, then she drives at exactly 30 mi/h

The above statement is true

The inverse

To do this, we simply negate the hypothesis and the conclusion

So, the inverse is:

If Brielle did not drive at exactly 30 mi/h, then she did not travel 10 mi in 20 mins

The above statement is false

The contrapositive

To do this, we simply negate the hypothesis and the conclusion, and then switch them

So, the contrapositive is:

If Brielle did not travel 10 mi in 20 mins, then she did not drive at exactly 30 mi/h

The above statement is false

Read more about conditional statements at:

https://brainly.com/question/18152035

#SPJ1

Answer:

The width can either be 4 or 5 feet.

Step-by-step explanation:

Assuming the length is x and the width is y.2x+2y=18xy=202y=18−2xy=9−xx(9−x)=209x−x2=200=x2−9x+200=(x−5)(x−4)x=5and4 The width can either be 4 or 5 feet

Answer:

65.4 cm²

Step-by-step explanation:

The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.

Volume of cube

= side ×side ×side

= side³

Given that the volume is 36 cm³, let's find the length of each side.

side³= 36

Cube root both sides:

side=[tex]\sqrt[3]{36}[/tex]

Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.

Area of a square

= side ×side

= side²

Surface area of 1 face= [tex](\sqrt[3]{36})^2[/tex]

Total surface area

= [tex]6(\sqrt[3]{36} )^2[/tex]

= 65.416 (5 s.f.)

= 65.4 cm² (nearest tenth)

Additional:

To learn more about surface area of cube, do check out the following!

Answer:

15

Step-by-step explanation:

The blue angle and the yellow angle form a linear pair, so they are supplementary (angle measures add up to 180).

180 - 165 = 15

Answer: B. a^4/b^12

Step-by-step explanation:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{a}{b^{3} }\right)^{4} \end{gathered}$}[/tex]

Use the rules of exponents to simplify the expression.

To raise the quotient of two numbers to a power, raise each power to the power and then divide it.

To raise a power to another power, multiply the exponents.

Multiply 3 by 4.

We conclude that: the correct option is "B".

The ending pressure group after the second dive is R.

According to the statement

We have given that the

The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.

And we have to find the pressure group after second dive.

So, For this purpose, we know that the

Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.

From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.

And due to its the ending pressure becomes R.

So, The ending pressure group after the second dive is R.

Learn more about Pressure here

https://brainly.com/question/5018408

#SPJ1

Answer:

100 minutes

Step-by-step explanation:

3 hours= 180 min

180/9 = 20

20 x 5 =100 min

Answer: 3

Step-by-step explanation:

Multiply the numerator to get 3 x 6 is 18

Multiply the denominator to get √6 x √6 = 6

Divide 18 by 6 to get the answer is 3

The reflection of BC over I is shown below.

See the attached figure for a better explanation:

1. By the unique line postulate, you can draw only one line segment: BC

2. Using the definition of reflection, reflect BC over l.

3. By the definition of reflection, C is the image of itself and A is the image of B.

4. Since reflections preserve length, AC = BC

Therefore, the reflection of BC over I is shown.

Know more about reflection here:

https://brainly.com/question/1908648

#SPJ4

The question you are looking for is here:

C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.

Answer:

96 is the number of original women investors.

Step-by-step explanation:

Let X be the number of young women in the initial group.  They raised 480000, so the average payment per person was (480000/X).  

When 4 pull out, the new average is (480000/(X-4)).  We are told that this new average required the remaining women (X-4) to add another 20000.

The four women therefore had contributed 20000 in total, making their average 20000/4 = 5000 each.  

This would have been the same amount contributed by all X women.  Thus, we can set the average (480000/X) equal to 5000

(480000/X) = 5000

(480000) = 5000X

(480000)/5000 = X

X = 96

The original number of women was 96.

===

Check

(96 Women)(5000/Woman) = 480000  CHECKS

(4 Women pull out)*(5000) = 20000 that needs to be added to stay at 480000.  CHECKS