Write the following logarithmic expression as a single logarithm with coefficient 1. log9 − 2logk log (StartFraction 9 Over k squared EndFraction) log (9 k squared) log (StartFraction 81 Over k squared EndFraction) log (StartFraction 9 Over 2 k EndFraction)

Answer:

4

Step-by-step explanation:

To compute a log that doesn't have a base of 10 you use the following formula

Log(number)/Log(base)

We can use this formula to compute the numbers with no variables

Log₃18= Log(18)/log(3) which gives us around 2.63

We can then compute the first part of the right side 2*log₃6 which can be rewritten as 2*(log(6)/log(3)) which gets us around 3.26

After computing this we can rewrite it all as 2.63=3.26-(.5*log₃x)

This is pretty easy to solve from here and we start by subtracting 3.26 from both sides which gives up

-.63=.5*log₃x

Dividing both sides by negative one half (or .5) gives us

1.26=log₃x

You then can use a special rule to rewrite this equation

3^1.26=x

This gives us 3.99 which is pretty much 4

Answer: 2 rational solutions

Step-by-step explanation:

When the discriminant,  b² + 2a,  is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7

When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.

Discriminant is a number that can be calculated from any quadratic equation.

What is quadratic equation?

A quadratic equation is an equation that can be written in the form of [tex]ax^2+bx+c[/tex]  (where[tex]a\neq 0[/tex]).

Formula for the Discriminant [tex]=b^2-4ac[/tex]

Also,

If Discriminant is Positive and perfect square then quadratic equation will have Two Real Rational Solutions.

We have,

Discriminant [tex]=49[/tex]

So,

We have Discriminant which is a positive number and also it is a perfect square. That means quadratic equation will have Two Real Rational Solutions.

Hence, we can say that When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.

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Answer: I honestly think Zero acceleration because its not changing? ;>;

Step-by-step explanation:

Answer:

The question is not fully visible but what u want to do is group them subtract/add what u can and then factor it out

Step-by-step explanation:

Answer:

#of blocks in a single layer of the wall * 3(x)-9/4

Step-by-step explanation:

So, let Y be the length of the wall. It will be made from the building blocks described.

If the perimeter of a square block is 12x-9 and the formula for the perimeter of a square is 4s (where s = length of a side). Then one side of the square is the perimeter divided by 4.

s = (12x-9)/4 = 3x-9/4

In order to find the length of the wall, multiply s by the number of blocks used to build one level of the wall.

The length of the wall is  n×(3x-9/4)

The perimeter of a square is defined as the length that its boundary covers. The formula to calculate the perimeter of a square is given as: P = 4 × side.

Given:

The perimeter of the square base = 12x-9 inches

As we know the Perimeter of the square = 4×side

Equating both we get

4× length of the square base = 12x-9

length of the square base = (12x-9)/4

length of the square base = 3x-9/4 inches

and depending on the number of blocks say n the length of the wall will be = n×(3x-9/4)

Hence the length of the wall =  n×(3x-9/4)

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Answer:

1 i.e. n

Step-by-step explanation:

Answer:

3x+8-2+2x=1

5x=1-8+2

5x=-5

x=-5/5

x=-1

Answer:

7

Step-by-step explanation:

Answer:

s could mean 0 or 1 I'm not sure

Answer:

8

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

1)

2)

3)

4)

5)

Note. m∠FHG = (x + 9)°, this is what I see. If not then  the value of  x is incorrect.

Answer:

2 groups

Step-by-step explanation:

13 times 3 is 39

39 is not 34

please mark me brainliest!!!

Answer:

x-intercept: (1,0) & (3,0)

y-intercept: (0,3)

*these are the other blanks* ....

vertex: (2,1)

line of symmetry: y = 2

Answer:

This problem has infinite many solutions.

Step-by-step explanation:

8(x−4)+19=8x−13

Step 1: Simplify both sides of the equation.

8(x−4)+19=8x−13

(8)(x)+(8)(−4)+19=8x+−13(Distribute)

8x+−32+19=8x+−13

(8x)+(−32+19)=8x−13(Combine Like Terms)

8x+−13=8x−13

8x−13=8x−13

Step 2: Subtract 8x from both sides.

8x−13−8x=8x−13−8x

−13=−13

Step 3: Add 13 to both sides.

−13+13=−13+13

0=0

Answer:

16

Step-by-step explanation:

if the ribbon is 32/3 yards long and you need 2/3 yard long segments the denominators cancel out giving you 32 and 2 32/2 = 16

Answer:

16 pieces of ribbon

Step-by-step explanation  

if you divide the length of the ribbon by the length of the pieces she needs to cut it into, you get 16.

Answer:

Your answer is 7

Step-by-step explanation:

Here you go mate

Step 1

3+k<10  Equation/Question

Step 2

3+k<10  simplify by subtracting

Answer

k<7

Answer:

[tex]\displaystyle 7 > k[/tex]

Step-by-step explanation:

3 + k < 10

- 3 - 3

________

[tex]\displaystyle k < 7[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

isosceles triangle (|>) this but right side up

Answer:

5

Step-by-step explanation:

30 - 5²

30 - 5*5

30 - 25

5

Hope this helped!

Answer:

12.5

Step-by-step explanation:

50/4

Answer:

The answer is D 12.5.

Step-by-step explanation:

Multiply 0.25 by 50 and then you get 12.5.

Answer:

(h,k) shows the coordintes of the turning point.

Answer:

coordinates of the vertex

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - h)² + k ← is in vertex form

with vertex = (h, k )

Answer:

Round to the nearest hundreths

Round to the nearest thousandths

The given numbers can be rounded off to the nearest hundredths and to the nearest thousandths by using the rules.

Rules for rounding off to nearest thousandths:

Rules for rounding off to nearest hundred:

Now, the given number is round to the nearest hundred as:

10.597 --- 10.60

20.2553  ---  20.26

554.2620 --- 554.26

11.2475 --- 11.25

20.3842 --- 20.38

Now, the given number is round to the nearest thousandths as:

10.597 --- 10.597

20.2553  ---  20.255

554.2620 --- 554.262

11.2475 --- 11.248

20.3842 --- 20.384

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Answer:

$20,000 = sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $300

Commission rate= 1% of sales

First, we need to establish the net income formula:

Net income= 300 + 0.01*sales

Now, the sales required for $500 net income:

500= 300 + 0.01sales

200/0.01 = sales

20,000 = sales

Prove:

Net income= 300 + 0.01*20,000

Net income= $500

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Step-by-step explanation:

Number of individuals = 4

Cost of dozen donuts with transport = $17.45 + $1.25

= $18.7

Since there are 12 pieces in a dozen pack of donuts, then the amount of each donut is:

= $18.7/ 12

= $1.56

So, if four people share a dozen donut, each person will have:

= 12/4

= 3 donuts each

and the price each person will pay for the three donuts will be:

= $1.56 × 3

= $4.68

Answer:

4.9

Step-by-step explanation:

Plug in 13 and 2 for each variable separately to get 0.7(13) - 2.1(2).  0.7 multiplied by 13 equals to 9.1 and 2.1 multiplied by 2 equals 4.2.  Subtract 4.2 from 9.1 to get your final answer which is 4.9.

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Answer:

10

High Hopes

                        Barry-

Answer:

10

Step-by-step explanation:

I believe the answer is ten! I hope this helps you!

Answer: Here is the step:

−2x;x+2y=9

x+2y=9

Then substitute -2x for y

-3x/-3 =9/-3

x= -3

Answer:

3.74 x 10^5

Step-by-step explanation:

First expand the term in scientific notation into normal notation.

3.3 x 10^5   -   Here the ^5 tells us to move the decimal five places to the right, so we go from

3.30000 to

330000.00

So 3.3 x 10^5 = 330,000

Now add that to 44,000 and you get 374,000.

Return this number to scientific notation.  Move the decimal back to its spot before the 3.  We go from

374,000.00 to

3.74000

Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is

3.74 x 10^5

- linear pairs are supplementary, meaning they add up to 180°

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 160

x = 20

- now plug in.

angle 1: 5(20) + 9 = 100 + 9 = 109°

angle 2: 3(20) + 11 = 60 + 11 = 71°