How would you simplify (log 27/logx) x (log x^2/log3)? I don’t think I did this correctly.

Answer:

-6 < x < -4

Step-by-step explanation:

8 < 4 - x < 10

Split this up into 2 inequalities:

4 - x > 8

-x > 8 - 4

-x > 4     Divide both sides by -1

x < -4    (Note that  sign flips when dividing by a negative).

Also 4 - x < 10

-x < 6

x >  -6

So the solution is  -6 < x < -4

Answer:

welp i got -891k - 357 but that seems really big

Step-by-step explanation:

i distributed the 5 to the -3.4k and the -7 and got -17k-35. then i foiled that out with the 3k+21 and got -51k -357 - 105k -735k. then i combined like terms and got -891k -357

hope this helps rip sorry

An i is an imaginary value.  So 7i is the imaginary part and 9 is the real part.

Hope this helps!!

Complex number is the number which is the combination of the real numbers and imaginary number. For the given complex number the real part is 9 and the imaginary part is 7.

Given information-

The complex number given in the problem is,

[tex]9+7i[/tex]

Complex number is the number which is the combination of the real numbers and imaginary number.

The complex number written in the form of,

[tex]a+bi[/tex]

Here [tex]a[/tex], [tex]b[/tex] are the real number and [tex]i[/tex] is the imaginary number called iota.

The value of the iota [tex]i[/tex] is,

[tex]i=\sqrt{-1}[/tex]

The complex number is made of two parts, the real part is [tex]a[/tex] and the imaginary part is [tex]b[/tex] for the above example.

Compare the given complex number with above complex number to find out the real and imaginary part of the complex number.

[tex]9+7i[/tex]

Here [tex]a[/tex] is 9 and [tex]b[/tex] is 7. Thus for the given complex number the real part is 9 and the imaginary part is 7.

Learn more about the real and imaginary parts of the complex number here;

https://brainly.com/question/13389642

Answer:

4 is the closest meter you can round to. So your answer would be 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

Answer:

She would make a 78.88% on a test if she played video games for only 8 hours a week.

Step-by-step explanation:

10 hours of video games=73.6% on a test.

8 hours of video games=x% on a test.

A proportion just doesn’t work out for this problem, so here’s what I did.

100-73.6=26.4

26.4 times .8 =21.12

100-21.12 equals 78.88

If you wanted to know what she would make on her test if she played video games for 6, 4, or 2 hours a week, you could do this.

78.88-73.6=5.28

There are increments of -5.28% for every 2 hours of video game play.

As you keep adding, here are the results.

6- 84.16%

4- 89.44%

2- 94.72%

0- 100%

After 18 hours of gameplay in a week, you would get 4.96% on a test, and then a 0 on not even completing the 19th hour.

Answer:

2 feet or 24 inch.

Step-by-step explanation:

Answer: Crystal earns $18.98 working 3 hours and 45 minutes.

Step-by-step explanation: Since m is the amount of money earned and we are trying to find how much money Crystal earned in h hours, the function will be set up as m = 5.50(h). If Crystal works 3.45 hours, we can plug this number into h: m = 5.50(3.45), which gives us $18.975. Rounded to the nearest cent, the answer would be $18.98 because 5 rounds 7 up.

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{c}cost directly proportional to \underline{p}izzas}}{c=kp} \\\\\\ \textit{we know that } \begin{cases} p=2\\ c=25 \end{cases}\implies 25=k(2)\implies \cfrac{25}{2}=k\implies 12\frac{1}{2}=k[/tex]

Answer:

True

Step-by-step explanation:

Given: QRS is an isosceles triangle that is QS=SR and M is the mid point of QR.

To prove: ΔSQM≅ΔSRM

Proof: It is given that  QRS is an isosceles triangle that is QS=SR and M is the mid point of QR, thus from ΔSQM and ΔSRM, we have

QS=SR (Given)

QM=MR (Mid point)

SM=MS (Reflexive)

Thus, by SSS rule of congruence,

ΔSQM≅ΔSRM

Hence the given statement is true, that is if M is teh point of RQ, then ΔSQM≅ΔSRM.

Hence proved.

Answer:

M=slope

(6) m=1

(7) m=3/2

(8)m=5/3

(9) m=0

(10) m=-11/4

(11) m=-1/2

(12) Undefined

(13)  m=12

(14) m=11/16

(15) m=-3

Hope this would HELP

Step-by-step explanation:

[tex]\dfrac{3ax-n}{5}=-4\qquad\text{multiply both sides by 5}\\\\3ax-n=-20\qquad\text{add n to both sides}\\\\3ax=n-20\qquad\text{divide both sides by 3a}\neq0\\\\\boxed{x=\dfrac{n-20}{3a}}[/tex]

The height of the student increased by 25 percent from 48 inches in 5th grade to 60 inches in 8th grade.

The student's height increased from 48 inches to 60 inches. To find the percent increase, we use the formula:

Percent Increase = ((New Height - Original Height) / Original Height) x 100%

Substituting the given values, we get:

Percent Increase = ((60 - 48) / 48) x 100%

Percent Increase = (12 / 48) x 100%

Percent Increase = 0.25 x 100%

Percent Increase = 25%

Therefore, the height of the student increased by 25 percent from 5th grade to 8th grade.

The student's height increased by 25% from 5th grade to 8th grade.

The percent increase in the student's height from 5th grade to 8th grade is calculated as follows:

First, determine the initial height in 5th grade, which is given as 48 inches.

Next, determine the final height in 8th grade, which is given as 60 inches.

The increase in height is the final height minus the initial height:

[tex]\[ \text{Increase in height} = \text{Final height} - \text{Initial height} \] \[ \text{Increase in height} = 60 - 48 \] \[ \text{Increase in height} = 12 \text{ inches} \][/tex]

To find the percent increase, divide the increase in height by the initial height and then multiply by 100:

[tex]\[ \text{Percent increase} = \left( \frac{\text{Increase in height}}{\text{Initial height}} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{12}{48} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{1}{4} \right) \times 100 \] \[ \text{Percent increase} = 0.25 \times 100 \] \[ \text{Percent increase} = 25\% \][/tex]

The correct option is [tex]\boxed{25\%}[/tex].

Answer:

7.83

Step-by-step explanation:

Susie will spend $7.83 on each person

Susie has a total amount of $15.66 to spend on lunch for both her and her friend

She wants to spend an equal amount on both her and her friend

Hence, since she wants to spend equal amount on herself and her friend it can be calculated as follows

= 15.66/2

= 7.83

Hence Susie will spend $7.83 on herself and friend

Please see the link below for more information

https://brainly.com/question/18771210?referrer=searchResults

Answer:

X=9 and Y=81

Step-by-step explanation:

For this case we have a system of two equations with two unknowns:

[tex]y = 9x\\y = 2x + 63[/tex]

Matching we have:

[tex]9x = 2x + 63[/tex]

subtracting 2x on both sides of the equation:

[tex]9x-2x = 2x-2x + 63\\7x = 63[/tex]

Dividing between 7 on both sides of the equation:

[tex]\frac {7x} {7} = \frac {63} {7}\\x = 9[/tex]

We find the value of y:

[tex]y = 9 (9)\\y = 81[/tex]

ANswer:

[tex]x = 9\\y = 81[/tex]

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute  the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

Answer:

1. C

2. D

3. A

4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

We will use these rules to simplify.

1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.

2. [tex](-7.4)^{0}=1[/tex] Choice D.

3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.

4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]

Answer:

1.) [B]

2.) [C]

(3.) [D]                            

Step-by-step explanation:

1.) Initial amount = $3168

Annual percentage rate = 12.75

per month percentage rate = 1.06%

Interest after 3 months =  P*R*T/100

                                      = 3168*1.06*3/100

                                      = 100.74 (aprox)

Balance after 3 months = 3168-100.74

                                        = $3270.06 (aprox) (B.)

2.) Gross pay = $2759

Total interest rate = 7.65%+12%+7% =  26.65%

interest amount= 26.65% *2759 =$728.24 (aprox)

Housing and fixing expenses= $728.54  (C.)

3.) 1 hour = $8.25

1 week= 35 hours

3 weeks = 35*3 hours = 105 hours

Total income= 105 hours = $8.25*105= $866.25

Total interest to be deducted = 7.65+13+9 = 29.65 %

Income after deducting interest =  $866.25-256.843 = $609.407

(D.)

The answers are:

1) C - $728.54

2) D - $609.39

3) B - $3,270.06

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

[tex]B(x, y) \rightarrow B'(x + 4, y + 5)[/tex]

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

[tex]x + 4 = 7[/tex]

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

Read more on Brainly.com - https://brainly.com/question/11847183#readmore

Step-by-step explanation:

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

For example:

[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1}=\frac{1}{x^2}[/tex]

[tex]\frac{1}{y^{-2}}=\frac{y^2}{1}[/tex]  or  y²

So:

[tex]5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]

Your answer is B

The correct evaluation of   [tex]5^{-2}[/tex]  is  [tex]\frac{1}{25}[/tex]

∴ [tex]5^{-2}[/tex] can be written as  [tex]\frac{1}{5^{2} }[/tex]

So,   [tex]5^{-2}[/tex]  = [tex]\frac{1}{25}[/tex]

Option B is correct.

Find more about "Power and base" here https://brainly.com/question/7447978

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Answer:

The answer is the third choice 3

Step-by-step explanation:

First you undo by doing the opposite 31 - 7 = 24 now we undo the 8 by undoing 24 divided by 8 is 3

Question

What is the value of n in the equation 8n + 7 =31

Answer:

Step-by-step explanation:

8n + 7 = 31

8n = 31 - 7

8n = 24

n = 24 : 8

n = 3

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

check

8 * 3 + 7 = 31

24 + 7 = 31

31 = 31

The answer is good

Answer:

31.6%

Step-by-step explanation:

it is given that

Area of Department X = 8,000  square feet

Area of Department Y = 5,000 square feet

Area of Department Z = 6,000 square feet

now the total area = [tex]8000+5000+6000[/tex]

                               =[tex]19,000[/tex] square feet

Percentage of area covered by Department Z = [tex]\frac{area of Department Z}{total area }100[/tex]%

                                               =[tex]\frac{6000}{19000} 100[/tex] %

                                                 =[tex]31.6[/tex] %

percentage of overhead expenses applied to Department Z = percentage of area covered by Department Z

hence we have,

percentage of overhead expenses applied to Department Z  = 31.6%

Answer:

B.   9/26.

Step-by-step explanation:

You need to change the coefficient of x in the first equation to 9/13 so that adding the 2 equations would eliminate x.

So you would multiply by  

= 9/13 / 2

= 9/13 * 1/2

= 9/26 (answer)

Answer:

The correct option is B) [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Consider the provided equations:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]y-\frac{9}{13}x=9[/tex]

The above equation can be written as:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]-\frac{9}{13}x+y=9[/tex]

As it is given that we need to eliminate the variable x.

Multiplying the equation [tex]2x+\frac{4}{3}y=1[/tex] with [tex]\frac{9}{26}[/tex].

Therefore,

[tex]\frac{9}{26}2x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

[tex]\frac{9}{13}x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

Therefore, the correct option is B) [tex]\frac{9}{26}[/tex]

Answer:

Look up the definition of that and then examples I’m in your class my names Joe

Step-by-step explanati

Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

The result is that approximately 1.4 billion people are using social networks.

If 1 out of 5 people in the world are logging onto a social network, and the world population is 7 billion, we can calculate the number of people logging in by dividing the total population by 5.

So, the number of people logging in is:

[tex]\frac{\text{7 billion}}{5} = 1.4\text{ billion}[/tex]

So, approximately 1.4 billion people are logging into social networks, according to the headline.

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.

First markdown month:

20 * (100%-25%) = 20 * 75% = 15

Second markdown month

15 * 75% = 11.25

Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

Answer:

teacher's response

Step-by-step explanation:

Macy was calculating the employee price off the original amount each time instead of off the new selling price each month. Macy cannot add up all the discounts; she must apply them one by one.

Answer:

22

Step-by-step explanation

that is how many times .25 goes into 5.5

Question

5.5 ÷ .25 and plz show work

Answer:

22

Step-by-step explanation:

5.5 : 0.25 =

55 : 2.5 =

550 : 25 =

22

Answer:

x=5

Step-by-step explanation:

[tex]\sqrt{3x+2} - \sqrt{2x+7} \\\\PLUG IN 5\\\\\sqrt{3*5+2} - \sqrt{2*5+7} = 0[/tex]

Answer:

The domain are all real numbers, there are no restrictions on the value x can be the domain is the set of all real numbers.

Answer:

All real numbers.

D is the correct option.

Step-by-step explanation:

The given function is [tex]f(x)=4^x[/tex]

Domain is the set of x values for which the function is defined.

In this exponential function, no matter we take which x values, the function remains defined for all real values of x.

Therefore, the domain of the given exponential function is All real numbers.

D is the correct option.