What is the size of the matrix resulting from...

Answer:

7/24

Step-by-step explanation:

7/8×3/8= 21/72

divide using 3

= 7/24

Answer:

45 min

Step-by-step explanation:

Here,

the we take the work as W and Alan's speed as A and Zack's speed as Z.

A = 2Z

W = 30 ( A+Z)

if the time for Alan to done cleaning alone is t then t = W ÷ A

t = ( 30 (A+(A÷2)))÷ A

t = 45 min

I am done .

Answer:

Option D is the correct option.

Step-by-step explanation:

Given: 3 boxes with volumes 1331 , 1331 , 729

To find : Height of stacked boxes

[tex]h {1}^{3} = 1331 = h1 = \sqrt[3]{1331} = 11[/tex]

[tex]h {2}^{3} = 1331 = h2 = \sqrt[3]{1331} = 11[/tex]

[tex]h {3}^{3} = 729 = h3 = \sqrt[3]{729} = 9[/tex]

Now,

[tex]h = h1 + h2 + h3[/tex]

[tex] = 11 + 11 + 9[/tex]

[tex] = 31[/tex]

Hope this helps...

Good luck on your assignment...

so amnt of money is x

x - 5 is Mark's remaining amnt

x - 20 is Susan's remaining amount

x - 5 = 2( x - 20) as he has twice the amnt of Susan

x - 5 = 2x - 40

40 - 5 = 2x - x

35 = x

the original amnt is $35

Answer:

c = 11.3 mi/h

Step-by-step explanation:

Since Square has all of the same sides, hence bobs speed will be the same for all of the sides.

All of the sides are equal in a square

=> Let's consider the two sides along with the diagonal a right angled triangle

=> [tex]c^2 = a^2 + b^2[/tex]

Where c is the speed of Rob along the diagonal and b and c is the speed of Bob along the side

=> [tex]c^2 = 8^2+8^2[/tex]

=> [tex]c^2 = 64+64[/tex]

=> [tex]c^2 = 128\\[/tex]

Taking sq root on both sides

=> c = 11.3 mi/h

Answer:

Easiest way to do this is to get the X's on one side of the equals sign and the Y's on the other. Then, you can choose the one with the negative sign in it.

When you do that,

First one is 2x=0+y, or y = 2x

Second one is 2y=0+x, or 2y = x (weird right)

Third one is x=0+2y, or 2y = x (again, weird right)

Final one is 2y=0-x, or 2y = -x

The final one is the answer. Cheers, but don't forget to remember this for next time bro.

Answer:

40

Step-by-step explanation:

20 * 1

= 20

20 * 2

= 40

Answer:

40

Step-by-step explanation:

The first step is to multiply 20 by 1. Whenever you multiply something by 1, it will always stay the same no matter what.

20*1=20

The next step is to multiply by 2. When multiplying anything by two, it is the same as adding the same number to itself. so

20*2=40 or 20+20=40

Hope this helps. Feel free to ask any follow-up questions if you are still confused

Have a great day! :)

Answer:

Step-by-step explanation:

Hello, because of the end behaviour it means that the leading coefficient is negative so we can construct such polynomial function as below.

[tex]\large \boxed{\sf \bf \ \ -(x+7)(x-6) \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The polynomial function will be f ( x ) = - x² - x + 42

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+ bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

The polynomial function is of second degree with zeros of -7 and 6

So , x = -7 and x = 6

Let the function be f ( x ) where f ( x ) = ( x + 7 ) ( x - 6 )

Now , as x tends to infinity , the negative makes no such difference on the zeros of the function f ( x ) ,

And , f ( x ) = - ( x + 7 ) ( x - 6 )

Therefore , to find the polynomial function , f ( x ) = - ( x + 7 ) ( x - 6 )

f ( x ) = - [ x² - 6 x + 7 x - 42 ]

        = - [ x² + x - 42 ]

        = - x ² - x + 42

Hence , the polynomial function f ( x ) = - x ² - x + 42

To learn more about polynomial function click :

https://brainly.com/question/25097844

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If it has a single zero that means it has to be just touching the x-axis with its tip.

We know that if it has only one zero, the discriminant equals 0.

So,

[tex]D=b^2-4ac=0\implies (-k)^2-4(1)(9)=0[/tex]

Solving for k,

[tex]k=\pm\sqrt{36}=\boxed{\pm{6}}[/tex].

Hope this helps.

Answer:

21.7

Step-by-step explanation:

When anything is 5 or above in a decimal place you round up to the next number for example

2.35 this would round up to be 2.4

21.65

Place value of 1 = ones place

Face value of 1 = 1

Note : The face value of a number will not change at all

Hope it helps you..If it's wrong plz say and I'll try to recorrect it :)

Answer:

Real Estate Deals

The best "payoff deal:"

B. Office Building

Step-by-step explanation:

A) Payoff Table

                                  Good Economic         Bad Economic

                                     Conditions                 Conditions

Probability                          (.60)                          (.40)

Apartment Building         $50,000                    $30,000

Office Building               $100,000                   $-40,000

Warehouse                     $30,000                     $10,000

B) Calculation of Expected Values:

                             Good Economic      Bad Economic    Expected Values

                                  Conditions          Conditions

Probability                       (.60)                    (.40)

Apartment Building     $30,000             $12,000             $42,000

Office Building            $60,000            $-16,000             $44,000

Warehouse                  $18,000               $4,000            $22,000

b) The expected value for these real estate deals can be derived as the sum of the payoffs under the two economic conditions after they have been weighed with their odds of occurrence.  The office building, in this example, showed the best payoff deal as the expected payoff from it results to a payoff of $44,000, which is higher than the expected payoff from the Apartment and Warehouse.  However, it is also the riskiest, especially when bad economic conditions occur.  This also accords with the general economic risk-return pattern that higher risky investments attract higher returns.

Answer:

The proportion of these light bulbs that will last less than the advertised time is 18.94% or 0.1894

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x - mean)/SD

= (1500-1550)/57 = -50/57 = -0.88

So the proportion we will need to find is;

P( z < -0.88)

We shall use the standard score table for this and our answer from the table is 0.1894 which is same as 18.94%

Answer:

Quantity (lbs) of type 1 candy  x = 8

Quantity (lbs) of type 2 candy  y = 17,5

Step-by-step explanation:

Let´s call  "x" quantity (in pounds) of candy type 1 in the mixture, and "y" quantity (in pounds ) of candy type 2, then according to the problem statement.

x  +  y  =  25,5

2,20*x  +  7,30*y = 5,70 * 25,5   ⇒  2,20*x  +  7,30*y = 145,35

Then we have a two equation system

x  +  y  =  25,5                                   ⇒   y = 25,5 - x

2,20*x  +  7,30*y = 145,35               ⇒ 2,20*x + 7,30* (25,5 - x ) = 145,35

2,20*x + 186,15 - 7,30*x = 145,35

5,1*x  = 40,8

x = 40,8/5,1

x = 8 lbs

And   y  =  25,5 - 8

y = 17,5 lbs

Step-by-step explanation:

It is given that,

Total length of a board is 65 inches

It is sawed into two pieces such that one piece is 7 inches shorter than twice the length of the other piece.

Let x is the length of other piece and y is the length of first piece such that,

y = 2x-7 ....(1)

Also,

x+y = 65 .....(2)

Put the value of y from equation (1) to equation (2) such that,

x+2x-7 = 65

3x=65+7

3x=72

x = 24 inches

Put the value of x in equation (1)

y = 2(24)-7

y = 41 inches

So, the length of first piece is 41 inches while the length of other piece is 24 inches.

Answer:  9c²

Step-by-step explanation:

To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.

                207c³                     108c²

                 ∧   ∧                        ∧  ∧

             9·23  c·c·c              9·12   c·c

            ∧                            ∧  ∧

           3·3                         3·3 3·4

                                                  ∧

                                                 2·2

207c³: 3·3·23  c·c·c

108c²:  2·2·3·3·3·4 c·c

GCF = 3·3 c·c

        = 9c²

The GCF of 207c^3 and 108c² is 9c²

Given the expressions [tex]207c^3 \ and \ 108c^2[/tex]

We are to find the GCF of both terms

First, we need to get the factors as shown::

207c³ = 9 * 23 * c² * c

108c² =  9 * 12 * c²

From the factors, we can see that 9 and c² are common to both terms:

The GCF of 207c^3 and 108c² is 9c²

Learn more here: https://brainly.com/question/21612147

Answer:

Its d [tex]x^{2} -6x+7=0[/tex]

Step-by-step explanation:

A= [tex]2+\sqrt{3\\}[/tex]

B= [tex]3\sqrt{2}[/tex]

C= [tex]-3+\sqrt{2}[/tex]

Answer:

D. x^2 - 6x + 7 = 0.

Step-by-step explanation:

The roots are 3 plus or minus sqrt(2). That means the equation is...

(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])

= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]

= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2

= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)

= x^2 - 6x + 7.

Hope this helps!

the answer is 36.36 but the closest to it is 37

Answer:

Option (1)

Step-by-step explanation:

Equation of a line passing through [tex](x_1,y_1)[/tex] having slope 'm' is represented as,

[tex]y-y_1=m(x-x_1)[/tex]

If a line passes through (1, 4) and having slope = 3,

By substituting the values in the equation of the line,

y - 4 = 3(x- 1)

Therefore, equation of the line will be,

y - 4 = 3(x - 1)

Option (1) will be the answer.

Answer:

first number(x) = 2 second number(y)= 6

Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

3x = 6

x = 2

Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

Answer:

6 and 2

Step-by-step explanation:

Let the first number =a

Let the second number =b

A first number plus twice a second number is 14.

Twice the first number plus the second totals 10.

We solve the two equations simultaneously

[tex]a+2b=14 \implies a=14-2b\\$Substitute into the second equation$\\2(14-2b)+b=10\\28-4b+b=10\\-3b=10-28\\-3b=-18\\b=6[/tex]

Recall:

a=14-2b

=14-2(6)

=14-12

a=2

The two numbers are 6 and 2.

Answer:

A  B  C

Step-by-step explanation:

Answer:

abc or 123

Step-by-step explanation:

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

[tex]A=\pi r^2+\frac{100}{r}[/tex]                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex]         (2)

Next, you equal the expression (2) to zero and solve for r:

[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]

Finally, you replace the previous result in the equation (1):

[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]

[tex]A=59.63[/tex]

The minimum total surface area is 59.63cm^2

Answer:

Step-by-step explanation:

1. The Hamilton method has you compute the number represented by each board member (total population/# members). Using this factor, the number of board members for each district are computed. This raw value is rounded down.

Because this total does not allocate all board members, the remaining members of the board are allocated to the districts based on the size of the fraction that was truncated when rounding down. Allocations start with the largest fraction and work down until all board members have been allocated.

The attached spreadsheet implements this algorithm using a "threshold" that is adjusted to a value between 0 and 1, signifying the cutoff point between a fraction value that gets an additional member and one that doesn't. (Often, that threshold can be set at 0.5, equivalent to rounding the raw board member value to the nearest integer.)

The resulting allocations are ...

  Town A: 2

  Town B: 2

  Town C: 6

  Town D: 12

__

2. The second attachment shows the result after the population move. The allocations of board members are identical.

__

3. The "factor" (persons per board member) is about 4500, so we don't expect a move of 900 people to make any difference in the allocation. These results make complete sense.

__

4. Of course each town will consider its own interest at the expense of everyone else, so they may or may not consider the results fair. The towns have population ratio of about 9 : 9 : 25 : 56, so the ratios 2 : 2 : 6 : 12 are quite in line. Even in the second year, when the ratios are closer to 9 : 10 : 26 : 56, the changes are small enough that the allocation of board members still makes sense. The results are fair.

_____

Comment on "fair"

The reason there are different methods of allocation is that each seeks to rectify some perceived flaw in one or more of the others. The reason there is not a general agreement on the method to be used is that some benefit more from one method than from another. "Fair" is in the eye of the beholder. I believe in this case it would be very difficult to justify any other allocations than the ones computed here.

Answer:

$[58543.42; 73456.58]

Step-by-step explanation:

Hello!

For the variable

X: salary of a college graduate that took a statistics course

Out of n= 43 students, the calculated mean is [tex]\frac{}{X}[/tex]= $66000

The population standard deviation is δ= $18908

There is no information about the variable distribution, but since the sample size is big enough (n≥30), you can apply the CLT and approximate the distribution of the sample mean to normal [tex]\frac{}{X}[/tex]≈N(μ;σ²/n)

Then you can apply the approximation of the standard normal distribution to calculate the 99% CI

[tex]\frac{}{X}[/tex] ± [tex]Z_{1-\alpha /2}[/tex] * [tex]\frac{Singma}{\sqrt{n} }[/tex]

[tex]Z_{1-\alpha /2}= Z_{0.995}= 2.586[/tex]

[tex]\frac{Singma}{\sqrt{n} }= \frac{18908}{\sqrt{43} }= 2883.44[/tex]

[66000±2.586*2883.44]

$[58543.42; 73456.58]

With a 99% confidence level you'd expect that the interval $[58543.42; 73456.58] will include the average salary of college graduates that took a course of statistics.

I hope this helps!

Answer:  see below

Step-by-step explanation:

1) An inequality is an equation that uses >, ≥, <, or ≤ instead of an equal sign.

Example:  3x + 2 ≥ 10

2) A compound inequality is when 2 inequalities are combined using either "and" or "or".  

Example:     x > -2  and  x < 4       rewrite as: -2 < x < 4

Graph:        -2 o-----------------o 4        one line segment between the #'s

Example:          x < -2 or x > 4

Graph:        ←-----------o -2    4 o----------→      two lines in opposite directions

3) The GPA is dependent on the number of hours she studies.

Independent: hours Beth studies

Dependent: GPA

Answer:

88

Step-by-step explanation:

M : R

3 : 7

R : E

1 : 2

So make Ryan equal

1×7=7

2×7=14

tfo R : E

7 : 14

then add all 3forM+7forR+14forE = 24

192/24=8

so for Ethan, 8×14=112and for Marc, 8×3=24

therefore Ethan has 112-24=88 more stickers than Marc

Answer: 45.5

Step-by-step explanation:

Im in 6th grade and all you had to do was add 18.3 and 27.2 and you’ll get 45.5

Answer:

The garbage dump is 58.3 miles west of the hotel, and the hotel is 57.1 miles west of the hardware store. The hardware store is 44.8 miles west of the library. The hardware store is 57.9 miles north of the office supply store, and the office supply store is 55.5 miles north of the science lab.

Step-by-step explanation:

Answer:

Refeect circle A over the the y line = x

Step-by-step explanation:

Answer:

min = -9

max =3

Step-by-step explanation:

C = x-3y

x ≥0

x≤3

y≥0

y≤3

The minimum will be be when x is smallest and y is at its max

x =0 and y = 3

C = 0 - 3(3)

C = 0-9 = -9

The minimum is -9

The maximum occurs when x is largest and y is smallest

x =3 and y = 0

C = 3 - 3(0)

C = 3-0 = 3

The max is 3

Answer:

Step-by-step explanation:

Given:      CS ≅ HR

           ∠CHS ≅ ∠HCR

           ∠CSH ≅ ∠HRC

Prove: CR ≅ HS

ΔCHS ≅ ΔHCR (Angle-Angle-Side, AAS, congruence property)

ΔICR ≅ ΔIHS (congruence property)

IS ≅ IR (similarity property)

CS ≅ HR (given)

Thus,

IC = IS + SC (addition property)

IH = IR + RH (addition property)

IC ≅ IH

Then,

CR ≅ HS (similarity property of triangles SCH and RHC)