Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.​

Answer:

the solution is (21/2, 19/2)

Step-by-step explanation:

The first equation, x = y + 1, has already been solved for x.  We can eliminate x in the second equatin by substituting y + 1 for x:

y = -(1/3)(y + 1) + 6

Let's eliminate fractions by multiplying all three terms by 3:

3y = y + 1 + 18

Combining like terms results in:

2y = 19, so that y = 19/2.

Substituting this 19/2 for y in the first equation, we get:

19/2 + 2/2 = x, or

x = 21/2

Thus the solution is (21/2, 19/2)

Answer:

I legit answered this its 6/10

Edit: y = -6/10x + 100

Step-by-step explanation:

Change in y over change in x

60/100

6/10

Answer:

1 1/8

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

Answer:$128

Step-by-step explanation:

If $1=6.25 rands then we must divide 800 by 6.25

Answer:

6b + 5n = 101

Step-by-step explanation:

I hope this helps!

Answer:

6b+5n = 101 because if you look at each equation and back at the question you’ll understand that it’s asking for 6 bracelets plus 5 necklaces for a total of 101 dollars... hope this helped...and I need brainliest thx

Step-by-step explanation:

Answer: X- 4y - 12=0

step by step explanation:

First, move the constant to the left by adding its opposite to both sides

x-4y -12 = 12-12 =

X-4y-12 =  0

So the answer is X- 4y - 12=0

Answer:

[tex]\frac{2}{a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{6-12b}{3a-6ab}[/tex] ← factor both numerator and denominator

= [tex]\frac{6(1-2b)}{3a(1-2b)}[/tex] ← cancel common factor (1 - 2b) on numerator/denominator

= [tex]\frac{6}{3a}[/tex] ← cancel 6 and 3 by 3

= [tex]\frac{2}{a}[/tex]

Answer:

B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.

Answer:

B) {x : 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8 }

Step-by-step explanation:

The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is

2 [tex]\leq[/tex] x [tex]\leq[/tex] 8

Answer:

10:2:3

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

10 : 2 : 3

Step-by-step explanation:

Water used = 1 litre = 1000ml

Sucrose used = 200ml

Saline used = 300ml

Ratio:

1000 : 200 : 300

10 : 2 : 3

The amount of water, sucrose and saline solution as a ratio = 10 : 2 : 3

Answer:

answer is 50

Step-by-step explanation:

x =180-(65+65)

x=180-130

x=50

Answer:

6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-10 - (-4)

-10 + 4 = -6

this is just to understand it more:

10 negatives

- - - - - - - - - -

+ + + +

4 positives

the 4 positives cancel out the 4 negatives which leave you with 6 negatives left -6 is the answer

None of the above given statements are the evidence that you do not have a normal distribution.

        [tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

       where -

       f(x)    :    probability density function

       σ       :    standard deviation

       μ       :    mean

Given are the statements regarding the normal distribution.

Of the given statements, none of the above are the evidence that you do not have a normal distribution

Therefore, none of the above given statements are the evidence that you do not have a normal distribution.

To solve more questions on normal distribution, visit the link below -

https://brainly.com/question/15103234

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Answer:

20.33%

Step-by-step explanation:

Answer:

D) 79.05%

Step-by-step explanation:

I JUST TOOK DA TEST

Answer:

z=68°

Step-by-step explanation:

z is congruent to the given angle

hopefully this helps :)

Answer:

z = 56°

Step-by-step explanation:

Since the 2 sides are congruent then the triangle is isosceles, thus

The base angles are congruent, then

z = [tex]\frac{180-68}{2}[/tex] = [tex]\frac{112}{2}[/tex] = 56°

Answer: Perimeter → 15.07964474

Area→ 18.09557368

Step-by-step explanation:

Let the no. Of customers be N.

25 = 15 + 5.5N

This is the required eqn.

Stacey can use the formula, 25 = 15 + 5.50x to find out the number of customers she needs to make $25 weekly.

Stacey makes $15 in a week without having any customers. She will however, make $5.50 for every customer on her paper route.

The expression for the amount she makes per customer and assuming the number of customers is represented by x is therefore:

= Amount per customer × Number of customers

= 5.50 × x

= 5.50x

When this is added to the amount she makes without customers it is:

= 15 + 5.50x

Stacey wants to make $25 per week using the above expression so the full expression would be:

25 = 15 + 5.50x

In conclusion, Stacey can find the total number of customers she needs to make $25 per week by the expression 25 = 15 + 5.50x.

Find out more at https://brainly.com/question/20806257.

Answer:

As we know that

[tex]\sf 1 \:Foot=12inches [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{12}}\:of \; 12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf 7inches}}}[/tex]

Answer:

the answer is b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Divide 288 by 6.

(288 points)/(6 games ) =

To simplify the fraction, divide the numerator and denominator by 6.

= 48 points/game

Answer: B.

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]

Answer:

1. 3 cookies

2. 2 cups

3. 300 calories

4. $35 per month

5. k = y/x

6. If there is no constant (k)

Step-by-step explanation:

1. The number of cookies the factory makes in one minute = (The number of cookies the factory makes in 12 minutes)/(12 minutes)

∴ The number of cookies the factory makes in one minute = 36 cookies/(12 minutes) = 3 cookies/minute

The correct answer is 3 cookies

2. The number of cups of water that leak every minute = (The number of cups of water that leak in 1/4 minute) × (The number of 1/4 minute per minute)

The number of cups of water that leak every minute = 1/2 cup per 1/4 minute × 4_1/4 minute per minute

The number of cups of water that leak every minute = 1/2  × 4 = 2

The number of cups of water that leak every minute = 2 cups

3. 5 glazed donuts contains 750 calories

∴ 1 glazed donuts contains 750/5 = 150 calories

2 = 2 × 1 glazed donuts will contain 2 × 150 = 300 calories

4. The charge of the cell phone company for 2 months = $70

The charge of the cell phone company for 6 months = $210

The constant rate per month = The rate of change of the cell phones companys charges

∴ The constant rate per month = (210 - 70)/(6 - 2) = 140/4 = 35

The constant rate (per month) for the service = $35 per month

5. The formula to find the constant of a chart, k = y/x

6. A chart is not considered proportional if there is no constant (k)

Answer:

53$

Step-by-step explanation:

6% of 50 is 3, 50+3=53

Answer:

Row 15 is correct

Step-by-step explanation:

Pascal's triangle:  

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1  

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.  

As we can see in pascal's triangle.  

Exponent represent the number of row.  

If binomial has exponent n then nth row of pascal's triangle use.  

For  

Here power is 15  

So, we have to use 15 row of pascal's triangle.  

Hence, Row 15 is correct

Answer:

the second part is 16

Step-by-step explanation:

Answer:

Julio hikes more quickly.

Answer:

60 + 2 + 0.6 + 0.08 + 0.006

Step-by-step explanation:

you break it up into columns and whatever is before it becomes a 0 as a place holder.

i hope this helps :))

Answer:

C

1/3y - 7/5×+ 2/3-2/3 y- 4/9

Answer:

x=1

y=3

z=-2

Step-by-step explanation:

Use substitution to solve two systems and then the third.