What is the solution to log2 (9x)- log2^3=3?
x=3/8. x=8/3
x=3
X=9

Answer:

[tex] \frac{2}{ {x - 1}^{2} } - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]

[tex] \frac{2}{(x + 1)(x - 1)} - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]

[tex] \frac{2}{(x + 1)(x - 1)} - \frac{2}{x + 1} = 0[/tex]

[tex] \frac{2 - 2(x - 1)}{(x + 1)(x - 1)} = 0[/tex]

[tex] \frac{2 - 2x + 2}{(x + 1)(x - 1)} = 0[/tex]

[tex] \frac{4 - 2x}{(x + 1)(x - 1)} = 0[/tex]

[tex]4 - 2x = 0(x + 1)(x - 1)[/tex]

[tex]4 - 2x = 0[/tex]

[tex] - 2x = - 4[/tex]

[tex]x = \frac{ - 4}{ - 2} [/tex]

[tex]x = 2[/tex]

Answer:2

Step-by-step explanation: i willn ot provide step by step cuz its a waste of my time becasue it is easer to just give the anwser althou i know it will not help you learn but it faster lets not lie we all just using this to anwser test/quiz questions

Answer:

the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school

Answer:

Meena's is 5 and her father is 30

Step-by-step explanation:

x+5+6x+5=2x+6x+5

x+6x-2x-6x=5-5-5

-x =-5

x =5 Meena

6*5

=30 Her father's age

Have a good day and stay safe!

Answer:

[tex]\frac{-73}{40}[/tex]

[tex]\frac{-29}{132}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{1}+\frac{3}{8}-\frac{1}{5}[/tex]

[tex]-\frac{80}{40}+\frac{15}{40}-\frac{8}{40}[/tex]

[tex]\frac{-80+15-8}{40}[/tex]

[tex]\frac{-73}{40}[/tex]

[tex]\frac{2}{3}-\frac{7}{11}-\frac{1}{4}[/tex]

[tex]\frac{88}{132}-\frac{84}{132}-\frac{33}{132}[/tex]

[tex]\frac{88-84-33}{132}[/tex]

[tex]\frac{-29}{132}[/tex]

Answer:

-1 33/40

- 29/132

Step-by-step explanation:

i) -2 + ( 3 / 8 ) + ( - 1 / 5 ) = -2 + 3/8 - 1/5=

- 2 + 15/40- 8/40=  -2 + 7/40= -1 33/40

ii) (2/3) + ( -7/11) + (-1/4 ) = 2/3 - 7/11 - 1/4=

2/3 - (28+11)/44=  2/3 - 39/44=  (2*44- 3*39) /3*44= - 29/132

Answer:

No solution

Step-by-step explanation:

Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.

If the question is 2x + 1 < 10

Step 1: Isolate x

2x < 9

Step 2: Divide both sides by 2

x < 9/2

x < 4.5

Answer:

7.3

Step-by-step explanation:

right for me on Khan

Answer:

A shift to the right 8 units

Step-by-step explanation:

Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.

Answer:

a = 6

b = 3

c = 64

d= 64

Step-by-step explanation:

1. Apply the quotient of powers:

[tex](-2)^a / 4^b[/tex]

In the given expression:

[tex]4^5(-2)^9/4^8(-2)^3[/tex]

base same then the powers are subtracting if the bases are in numerator and denominator

i.e [tex]a^m/a^n = a^{m-n}[/tex]

Solving:

[tex]=(-2)^{9-3}/4^{-5+8}\\=(-2)^6/4^3[/tex]

therefore, the values of a and b are: a = 6

b = 3

2. Evaluate Powers

c/d

We have

[tex](-2)^6/4^3[/tex]

When power is even negative sign changes into plus sign

64/64

Therefore, we get the values of c and d

c = 64

d= 64

Answer:

a = 6

b = 3

c = 64

d= 64

Step-by-step explanation: i got it right

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the point values to solve for the midpoint:

[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]

Simplify:

[tex](\frac{10}{2}, \frac{1}{2})[/tex]

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Answer:

y=15

Step-by-step explanation:

im guessing you meant 9:y = 3:5

(9*5)/y = 15

Answer:

Flour = 5 1/4 Cups

Sugar = 3 Cups

Milk = 1 Cup

Step-by-step explanation:

4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->

4(3) = 12 Dozens --> Otherwise A Gross

--> Multiply the formula by 3

7/4 x 3 = 21/4

1 x 3 = 3

1/3 x 3 = 1

Convert to a mixed number

Thus You have your answers

Hope this helps!

Answer:

C. G(x) is a negative number with a small absolute value

Step-by-step explanation:

As x increases, G(x) goes towards 0 from the a negative quadrant.

Answer:

78

Step-by-step explanation:

ur boi got it right

Answer:

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Step-by-step explanation:

Since moving it to one side can't be factored, I'm going to complete the square.

[tex]x^2+5x=8[/tex]

[tex]x^2+5x+6.25=8+6.25[/tex]

[tex](x+2.5)^2=14.25[/tex]

[tex]x+2.5=\sqrt{14.25}[/tex]

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Answer: D

Step-by-step explanation:

The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).

Answer:

The last option

Step-by-step explanation:

You can tell by looking at the title of the x-axis. The domain is all x-values. So, the domain are the number of months.

Answer:

0.07% probability of selecting all students

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the jury is selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability of selecting all students?

Desired outcomes:

8 students from a set of 12. So

[tex]D = C_{12,8} = \frac{12!}{8!4!} = 495[/tex]

Total outcomes:

8 people from a set of 12+12 = 24. So

[tex]T = C_{24,8} = \frac{24!}{8!16!} = 735471[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{495}{735471} = 0.0007[/tex]

0.07% probability of selecting all students

Answer:

  a. p(n) = 3n -1

  b. $101.50

  c. 9 years

Step-by-step explanation:

a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:

  for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.

The usual formula for the n-th term of an arithmetic sequence applies:

  a[n] = a[1] +d(n -1)

  a[n] = 2 +3(n -1) = 3n -1

In month n, the population of lab rats is ...

  p(n) = 3n -1

__

b. After 10 months, the population will be ...

  p(10) = 3·10 -1 = 29

At $3.50 per rat, the cost will be ...

  29 · $3.50 = $101.50

__

c. We want to find for p(n) = 326.

  326 = 3n -1

  327 = 3n

  109 = n

Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.

Answer:

A, B, and D

Step-by-step explanation:

E is discarded, since the number 7 does not exist on a die.

F is discarded because there are no letters in a die

C is discarded because the elements are placed backwards

Answer:A

Step-by-step explanation:

55%

Step-by-step explanation:

percentage of swimming

10%+35%=45%

100%-45%=55%

Answer:

Step-by-step explanation:

A. 2x-4

B. x+y

C. x+6 ≤20

Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Answer:

Option C is correct.

The standard deviation of B is greater.

Step-by-step explanation:

Distribution A is given

A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Then distribution B is all of distribution A including the percentage for the package where the least kernels popped

B = {74, 91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Taking the statements one at a time

- The mean of A is the same as the mean of B.

Mean = (sum of variables)/(sample size)

It is evident that most of the percentages in distribution A hover around a consistent spot, hence, the mean too will land around that consistent spot. The mean of distribution A as calculated = (902/10) = 90.2

Mean of distribution B should hover around that spot too, but a new addition of 74 is expected to bring the mean down.

Mean of distribution B = (976/11) = 88 73

Hence, statement 1 is incorrect as the mean of A isn't the same as the mean of B.

- Including the percentage for the package where the least kernels popped causes the center of the data to increase.

The center of the data is synonymous with the mean and it is evident that this centre doesn't increase after including the percentage for the package where the least kernels popped causes the center of the data to increase, rather, it drops from 90.2 to 88.73.

Hence, this statement is false.

- The standard deviation of B is greater

Standard deviation measures how far away from the mean the variables of the distribution are. And since we've established that the variables of distribution A hover around a spot, hence, the stamdard deviation is expected to be small. But distribution B has all of the variables of distribution A plus a value that is very far away from the Mean (74), hence, it is easy to see that distribution B will have the greater standard deviation. Let us now calculate.

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean

N = Sample size

Standard deviation for distribution A = 2.638

Standard deviation for distribution B = 5.293

Hence we can conclude that this statement is true and the standard deviation of distibution B is greater.

Hope this Helps!!!

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

[tex]\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B[/tex]

Hope that helps!

Answer:

B. 84 is correct.

I did the quiz.

Answer:

A.

Step-by-step explanation:

There are 3 ft in a yd. That means if we have 1 ft left over, then we have 1/3 yd left over. Add that to our 1 yd and we get 1 1/3 yds

Answer:

True.

Step-by-step explanation:

y = -3x + 20

Put x as 5, then y output should be 5.

y = -3(5) + 20

y = -15 + 20

y = 5

True, the line with slope -3 passes through points (5, 5).

Answer:

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

Step-by-step explanation:

Answer:

x(x+2)^2

Step-by-step explanation:

x^-3 +2x^2 +x

Taking x as common

x(x^2+2x+1)

x[(x)^2+2(x)(1)+(1)^2]

x(x+2)^2

I hope it will help you

Answer:It is what it is

Step-by-step explanation:

Answer:

Parallel lines do not intersect.

Parallel lines are like an equal sign

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

They go Straight across

While perpendicular lines intersect.

A lot of squares are parallelograms, they only have parallel lines.

Hope this helps

~ヾ(・ω・)