The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 18 degrees C to Fahrenheit. Round to the nearest degree.

The equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

To get the equivalent expressions for the given logarithmic function, we will use the following laws of logarithm:

Given the logarithmic function:

[tex]log_{12}(\frac{1/2}{8w}) [/tex]

This can be further expressed as:

[tex]log_{12}(\frac{1/2}{8w} )[/tex][tex]log_{12}(\frac{1/2}{8w} )=log\frac{1}{2}-log8w [/tex]

Using the product law of logarithm

[tex]log_{12}(\frac{1/2}{8w}) =log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

Hence the equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

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to resolve this type of exercise  you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula  b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now  -(2)^2-4(1)(3) =  -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis

2) the graph cut the y axis eN Y = 3  for x= o,  F(0) = 0+2*0+3 = 3

3) This is the graph

Answer:

A tool.

Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.

It is given  Balance forward $643.72 in the account.  An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .

Transactions made in the account = $643.72-68.29+341.80-34.18-60.00

Amount left in the account =$823.05.

Answer:

Running Total = $823.05

Step-by-step explanation :

When the figures were entered on a checking account record to keep the running total correct :

Balance forward = $643.72  

Check #5734 to Lupe's Market for food = $68.29

A deposit  = $341.80

Check #5735 to Broadmoor Community Center = $34.18

Check #5736 to Bill Baughman for plumbing services = $60.00

Total Transactions :

643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05

Total balance = $823.05

Answer:

Step-by-step explanation:

Function 1: y = 32x + 45 <- 45 is y-intercept

Function 2: x y 0 65 <- 65 is y-intercept

So Function 2 has a greater y-intercept than function 1.

Function 1: y = 32x + ... <- 32 is rate of change

Function 2: x y 0 65 1 85

rate of change = 85 - 65 = 20

So Function 1 has a greater rate of change than function 2.

Answer:

$16.8912

Step-by-step explanation:

We are given that Amelia and her  two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of  each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912

Hence, the cost of each meal without tax=$16.8912

There are 8 pounds of raisins in Morgan's supply.

Let us say there are 'a' pounds of raisins in her supply.

Fraction is a manner to represent part of a whole.

Raisins used to make trail mix = 1/4 of a = 1/4 a

Raisins used to make cookies = 3/8 of a = 3/8 a

It is given that:

Morgan uses 5 pounds of raisins,

[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]

[tex]\frac{5}{8} a = 5\\\\a=8[/tex]

Therefore, there are 8 pounds of raisins in Morgan's supply.

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Morgan's total supply of raisins is 8 pounds.

Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.

We set up the equation to represent the total amount of raisins used:

1/4 R + 3/8 R = 5

We need to find a common denominator to combine the fractions. Here, the common denominator is 8:

(2/8) R + (3/8) R = 5

Combining the fractions gives:

(5/8) R = 5

To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

R = 5 * 8/5

When we simplify, we get:

R = 8

So, Morgan's total supply of raisins is 8 pounds.

Answer with explanation:

→→The three Angles form a Linear pair.That is

 ⇒∠1+∠2+∠3=180°

→→When these three congruent triangles are joined they form a Trapezoid.

→→Sum of angles in a trangle is given by Angle sum property Axiom of triangle which states that sum of the angles in a triangle is 180°.

Answer:

420

Step-by-step explanation:

210 = 14×15

28 = 14×2

The LCM wil be the product of unique factors;

... LCM = 14×15×2 = 420

Final answer:

The value of the expression (a-1) + a^2 - b^2 / (1-ab) + 2(a - b) / (2b) when a=2 and b=-1 is -5/3.

Explanation:

To calculate the given expression when a=2 and b=-1, we first plug these values into the expression, which is (a - 1) + a^2 - b^2 / (1 - ab) + 2(a - b) / (2b). After substitution, it simplifies as follows:

The term (a - 1) becomes (2 - 1), which equals 1.

The term a^2 - b^2 becomes 2^2 - (-1)^2, which simplifies to 4 - 1 = 3.

The denominator 1-ab becomes 1 - (2)(-1), which equals 1 + 2 = 3.

The term 2(a - b) becomes 2(2 - (-1)), which is 2(3) = 6.

The denominator 2b becomes 2(-1), which is -2.

Now, the full expression simplifies to (1 + 3) / 3 + 6 / -2. Simplifying further, we get 4 / 3 + (-3), which equals to 4/3 - 3/1. After finding a common denominator, the expression simplifies to (4 - 9) / 3, which is -5/3.

Therefore, the value of the expression when a=2 and b=-1 is -5/3.

Final answer:

To multiply 12 by 778, one needs to perform the standard multiplication process. Multiplying each digit of 12 by 778 individually and then adding the results provides the final answer, which is 9336.

Explanation:

The student's question involves performing a multiplication operation, specifically 12 multiplied by 778. To solve this without a calculator, one can use a standard multiplication technique as follows:

Write down the two numbers, with 778 above 12.

First, multiply 2 (the rightmost digit of the lower number) by 778 to get 1556.

Next, multiply 1 (the leftmost digit of the lower number) by 778 and remember to add a zero at the end (because it represents the tens place), which gives us 7780.

Add the two results, 1556 and 7780, to get the final answer, which is 9336.

The result of 12 times 778 is 9336.