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Answer:

39/2, 39/2 give a maximum product.

Step-by-step explanation:

Let 1 number be x then the other is 39-x.

Product P = x(39 - x)

= 39x - x^2.

Finding the derivative:

dP/dx = 39 - 2x

When P is a maximum or minimum dP/dx = 0, so

39 - 2x = 0

x = 39/2.

The 2 numbers are both 39/2.

Answer:

2 x 20^2

Step-by-step explanation:

I did it on paper and looked it up to make sure

Answer:

No Clue

Step-by-step explanation:

There are four basic properties of logarithms. The solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex].

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)\\\\\rm log_aU - log_aV = log_a(\dfrac{U}{V})\\\\\rm log_aU^n = n\ log_aU\\\\\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]

The given logarithmic problem can be solved in the following manner,

[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex]

By using the division law of logarithm, [tex]\rm log_a(\dfrac{x}{y}) = log_ax - log_ay[/tex]

[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5} = log_{12}\ {x^4\sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]

By addition law of Logarithm, [tex]\rm log_a(xy)= log_ax+ log_ay[/tex]

[tex]\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]

Using the logarithmic Property, [tex]\rm log\ a^m =mlog\ a[/tex]

[tex]=\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}\\\\=log_{12}\ x^4+ log_{12} (x^3-2)^{\frac12}-log_{12}{(x+1)^5\\\\[/tex]

[tex]=4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]

Hence, the solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]

Learn more about Logarithms:

https://brainly.com/question/7302008

Answer:

Step-by-step explanation:

[tex]4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3[/tex]

Answer: x

2

=

81

can be written as

x

2

−

81

=

0

by property ,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

The expression becomes

x

2

−

(

9

)

2

=

0

(

x

−

9

)

(

x

+

9

)

=

0

equating each of the terms with zero we obtain the solution

x

−

9

=

0

and

x

+

9

=

0

the solutions are

x

=

9

or

x

=

−

9

Step-by-step explanation:

Answer:

A) Take the square root of both sides to solve

E) x = ±9

Step-by-step explanation:

Answer:

6:5

Step-by-step explanation:

c = number of cats

d = number of dogs

d = c+6

Set up a ratio:

4/3 = d/c

Then replace d with c+6, so your equation only has one variable.

[tex]\frac{4}{3} = \frac{c+6}{c}[/tex]

Cross multiply

4c = 3(c+6)

Multiply everything in the parentheses by 3.

4c = 3c + 18

Subtract 3c from both sides

4c - 3c = 18

c = 18

d = c + 6 = 18 + 6 = 24

If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20.  Divide each side by 4 for a ratio of 6:5.

Answer:

C. -16.25 inches

Step-by-step explanation:

First, we need to find out the total rainfall in the three days

0.75 + 0.75 + 0.75 = 2.25

Now, we need to subtract this number from 18.5

18.5 - 2.25 is 16.25

So, your answer is -16.25

I really hope this is right and I really hope this helps!

Answer:

22 is the median

the minimum is 16

idrk for number 3 or 5

the maximum is 28

idrk for 6 or 7

Step-by-step explanation:

i wrote some of the answers, all you have to do is use the box plot

Answer:

Depends on what you think your instructor is looking for either it is 45 students, or the answer is 41.

Step-by-step explanation:

41 is the answer if you subtract the port fees from the amount raised then divided the remainder by cost per student .

Answer:

He charges a flat rate of 75, and any extra work will be 54 dollars per hour.

Step-by-step explanation:

Answer:

he charges $75

Step-by-step explanation:

Answer:

m = - 6.9

Step-by-step explanation:

3 × (m + 2) = - 3 × 4.9

3m + 6 = - 14.7

3m = - 20.7

m = - 6.9

Answer:

It will represent the slope of the graph

Step-by-step explanation:

Here, we are interested in getting what the cost per mile driven represent

From the information, we can represent the cost as;

C = 15d + 39

In this case we have a representation of the cost using the fixed daily cost(y-intercept) and the cost depending on the number of miles driven which will change based on the number of miles.

Since it is changing, it represents the slope of the function for cost

Answer:

[tex]y=0,\:x=3[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=\frac{2}{3}x-2\\ y=-x+3\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-x+3[/tex]

[tex]\begin{bmatrix}-x+3=\frac{2}{3}x-2\end{bmatrix}[/tex]

Isolate x for -x+3=2/3x-2: x=3

[tex]\mathrm{For\:}y=-x+3[/tex]

[tex]\mathrm{Substitute\:}x=3[/tex]

[tex]y=-3+3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=0[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=0,\:x=3[/tex]

Answers:  he markup price is $9.6

You will be paying 120% which is 1.20 as a decimal

So you multiply. 8(1.20) which gives you $9.6

Step-by-step explanation: thank you for letting me answer this question hope it's helpful

Answer: $36.80 and the difference is $9.20

Step-by-step explanation:

Answer:

a9=20

Step-by-step explanation:

an=3n-7

a1=3(1)-7

  =3-7

  =-4

a2=3(2)-7

   =6-7

   =-1

a3=3(3)-7

   =9-7

   =2

a=-4....a2=-1....a3=2

d=a2-a1

 =3

a9=a+(n-1)d

   =-4+(9-1)3

   =-4+8(3)

   =-4+24

   =20..

Answer:

x=1.5

Step-by-step explanation:

triangle JLM is similar to triangle QST

so we know that similar triangles have proportionate sides

so..

JM/LM=QT/ST

4/(6x-3)=2/3

3*4=2(6x-3)

12=12x-6

12x=18

x=1.5

X = 1.5

On paper, I worked it out. Despite the fact that answers have already been offered, this might be used as confirmation that the answers given by other members are correct.

Have a wonderful day.

Answer:

$5.55

Step-by-step explanation:

Answer:

7.27 is the irrational number

Step-by-step explanation:

7.27 can not turn into a fraction because it keeps on repeating

There are no Irrational numbers in the list.

We have a set of numbers - 7.27, 5, 9215, 2196.

We have to circle out the Irrational ones.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction - p/q where p and q are integers.

According to the question, we have -

7.27, 5, 9215, 2196

Now -

7.27 =  [tex]$\frac{727}{100}[/tex]  → It is Rational.

5 = [tex]$\frac{5}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{9215}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{2196}{1}[/tex] → It is Rational.

All the numbers are Rational as they can be expressed in the form of p/q.

Hence, there are no Irrational numbers in the list.

To solve more questions on Rational and Irrational numbers, visit the link below-

https://brainly.com/question/20400557

#SPJ2

Answer:

[tex]\tt x=5[/tex]

Step-by-step explanation:

[tex]\tt 18x-5=13x+4x+1-11[/tex]

[tex]\tt 18x-17x=15-10[/tex]

[tex]\tt x=5[/tex]

~

Answer:

m(∠AOF) = 148°

Step-by-step explanation:

From the figure attached,

CD intersects line EF at a point O.

Line CD is perpendicular to the line EF.

m(∠AOE) = 32°

m(∠COE) = 90°

Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°

32° + m(∠AOC) = 90°

m(∠AOC) = 90° - 32° = 58°

m(∠AOF) = m(∠AOC) + m(∠COF)

               = 58° + 90°

               = 148°

Therefore, m(∠AOF) = 148° will be the answer.

Answer:

a4 = -12

Step-by-step explanation:

Explanation:

Multiply the outer term 7 by each term inside the parenthesis.

We then add up those results, combining like terms if possible.

That's how we get to 7t + 28

Answer:

7t+28

Step-by-step explanation:

multiply each term in the parentheses by 7

7t+7×4

multiply the numbers

7t+28

Answer:

X=11

Step-by-step explanation:

|3x-9|=24

is the same as

3x-9=24

which becomes

3x=33  because you add 9 to both sides

which is

x=11 because you divide by 3

Answer:

2/3

Step-by-step explanation:

Divide 1/2 by 3/4 to get 1/2 x 4/3 = 2/3 mph

Answer:

1.79m^2

Step-by-step explanation:

(0.1×1)+2(0.5×0.8×0.1)+(1×0.8)+(1×0.81)

=1.79

Answer:

17.5m

Step-by-step explanation:

You gotta do this:

0.81 x 1 = Top area

((0.8 x 0.1) ÷ 2) x 2 = left side and right side area

1 x 0.1 + Back Area

0.8 x 1 = Bottom

Add them all together and remember that the final answer has to be in metres, you get - 17.5m

Answer:

5985.97

Step-by-step explanation:

A=33

2a2=3·3

2·482≈5985.96759