Did I divide this correctly?



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Evaluation of expression are: a) log2(32) = 5 b) 8 is not a factor of 816, hence its log8(816) c) log2(1) = 0

A logarithm is a mathematical function that shows how many times a given base number must be increased to arrive at a specific value. Calculating orders of magnitude, simplifying expressions, and solving equations are just a few of the many mathematical tasks that may be accomplished with logarithms. A number's logarithm is represented by the letter "log" followed by a base-indicating subscript, such as "log base 10" or "log base e" (the natural logarithm).

a) To evaluate the expression log2(32), we need to ask ourselves the question "2 raised to what power equals 32?" The answer is 5, since 2^5 = 32. Therefore, log2(32) = 5.

b) To evaluate the expression log8(816), we need to ask ourselves the question "8 raised to what power equals 816?" We can use the prime factorization of 816 to help us with this. 816 = 2^4 * 3 * 17, and we can see that 8 is not a factor of 816. Therefore, we cannot simplify this expression any further and our answer is just log8(816).

c) To evaluate the expression log2(1), we need to ask ourselves the question "2 raised to what power equals 1?" The answer is 0, since any number raised to the 0th power equals 1. Therefore, log2(1) = 0.

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Answer:

associative property

Step-by-step explanation:

Answer: \(x=10\)

Step-by-step explanation: Using the distributive property you can multiply 8 into both terms x and -8. This will result in the equation being \(8x-64 = 16\) add 64 to both sides and you get. \(8x=80\). Divide both sides by 8 and the answer is x=10.

Answer:X= 10

Step-by-step explanation:

8x2=16, 2+8=10 so 8(10-8) = 16, hope this helps

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

To determine the optimal production quantity of tables and the maximum profit, we can set up a linear programming problem based on the given information.

Let's define the decision variables:

Let C represent the number of chairs produced.

Let T represent the number of tables produced.

Objective function:

The objective is to maximize profit. The profit for each chair is $150, and the profit for each table is $750. Therefore, the objective function can be expressed as:

Profit = 150C + 750T

Constraints:

Labor constraint: The total labor hours available is 240, and each chair requires 5 hours, while each table requires 3 hours. So the labor constraint can be represented as:

5C + 3T ≤ 240

Material constraint: The warehouse has 700 linear feet of rich mahogany available, and each chair requires 4 linear feet, while each table requires 20 linear feet. Therefore, the material constraint can be expressed as:

4C + 20T ≤ 700

Non-negativity constraint: Since we cannot produce a negative quantity of chairs or tables, both C and T should be greater than or equal to zero:

C ≥ 0

T ≥ 0

Now, we can solve the linear programming problem to find the optimal solution:

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

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Answer:

Step-by-step explanation:

The result of 20 · 34 is 680, and the result of 20 ÷ 34 is approximately 0.588235294117647. Therefore, 20 · 34 is greater than 20 ÷ 34.The symbol "·" is used for multiplication, and the symbol "÷" is used for division. When we multiply 20 and 34, we are finding the total value of 20 items that are each worth 34. While when we divide 20 by 34, we are finding out how many times 34 can fit into 20, which is less than one.In short, Multiplication gives a bigger value than division, that's why 20*34 is greater than 20/34.

Answer:

Step-by-step explanation:

Hello! The way you can figure this question out is by solving each one.  Let's start with 20 x 34.

How you can multiply 20 x 34

     34
   x20
______
     00 - 0 x 4, 0 x 3 both equal 0
+  680 - Put a 0 to the right of the number, 2 x 4 = 8, 3 x 2 = 6
______
680

34 x 20 = 680

Now, divide 20 by 34

20/34 = 10/17  

10/17 is less than 1, while 680 is much greater than 1.  

680 > 10/17

20 x 34 is greater than 20 divided by 34

Fun fact:
If two numbers are greater than 1, are whole numbers, and they are multiplied and divided, the number produced by each equation will always be greater when multiplied.  

Answer:

33

Step-by-step explanation:

3∙[ 9 – 2∙ (7 – 8)]

PEMDAS,

Parentheses, start from the inside out

3∙[ 9 – 2∙ (-1)]

3∙[ 9 +2]

3* 11

33

Answer:

C. because it does not contain a equal sign. please matk me as the brainliest. Please...

Ms. Wilson is paid $1728.97 every 2 weeks.

To find her annual salary, first, you have to calculate her monthly salary.

Each month has two payments, so you have to multiply her bi-weekly salary by 2:

Her monthly income is $3451.82

To determine her annual income you have to multiply her monthly income by 12

Her annual salary is $41493.84

Answer:

??

Step-by-step explanation:

there is not enough information

The domain of the inverse function will be y ≥ 6, and the range of the inverse function will be x > 4.

When the domain is restricted to the portion of the graph with a positive slope, it means that only the values of x that result in a positive slope will be considered.

In the given function, f(x) = |x – 4| + 6, the portion of the graph with a positive slope occurs when x > 4. Therefore, the domain of the function is x > 4.

The range of the function can be determined by analyzing the behavior of the absolute value function. Since the expression inside the absolute value is x - 4, the minimum value the absolute value can be is 0 when x = 4.

As x increases, the value of the absolute value function increases as well. Thus, the range of the function is y ≥ 6, because the lowest value the function can take is 6 when x = 4.

Now, let's consider the inverse function. The inverse of the function swaps the roles of x and y. Therefore, the domain and range of the inverse function will be the range and domain of the original function, respectively.

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Answer: Hi You can look it up on goolgle if you cant find the answer here yoy can get answer faster with goolgle but ik you know what goolgle but yeah

Step-by-step explanation: I know this isnt the answer you were looking for ;(

Two congruent right triangles are formed by the tangents and the line connecting P to the circle's centre. They are congruent because one of the pairs of matching sides in each of those two triangles is represented by the tangent segments from P to the sites of tangency with the circle.

The kite-shaped quadrilateral that is created by the two radii and the two tangents has two pairs of adjacent sides.

The radii, the tangents, and the line from P to the centre of the circle combine to form two congruent right triangles. The tangent segments from P to the sites of tangency with the circle are congruent because they represent one of the pairs of corresponding sides in each of those two triangles.The two radii and the two tangents combine to form a quadrilateral with two pairs of adjacent sides, which is why it is a kite.

Lines that cross a circle at a single point are known as tangents.  Where the tangent crosses the radius of the circle, it is perpendicular to the tangent. Any curved shape can take into account tangent. Since the tangent is a straight line, its equation will take the form y = m x+ c .

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Answer:

1000$

Step-by-step explanation:

55 = 40 hours + 15 Overtime hours

40×16 = 640$

16$×1.5 = 24$ an HR for overtime ( time and a half = 1.5)

24$ × 15 Overtime hours = 360$

640+360 = 1000$ gross

then come taxes

The equation of the graph is y = -2x + 1

From the question, we have the following points on the line

(0, 1) and (1, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 1

Using the points, we have

m + 1 = -1

m = -2

So, the equation is y = -2x + 1

In (a), we have

c = 1

This is the y-intercept

For the x intercept, we have

-2x + 1 = 0

This gives

x = 1/2

Parallel lines have equal slopes

This means that the slope must be -1/2

Because the line must go through (0, 0), the equation is y = -1/2x

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The total balance in the account after 4 years is approximately $6,582.48.

The formula for the accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = $5,500( 1 + 0.045/12 )^( 12 × 4 )

A = $5,500( 1 + 0.00375 )⁴⁸

A = $5,500( 1.00375 )⁴⁸

A = $6,582.48

Therefore, the accrued amount is $6,582.48.

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Answer:

12 carrots

Step-by-step explanation:

If there is 3 times as much cabbages as there is carrots, and there is 36 cabbages then you would do 36/3 because of the 3 times as much.  The answer would be 12 carrots.

36/3=12

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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Answer:

P and Q add up to 90°.

Step-by-step explanation:

Answer:

1 2/5 = 1 1/2

7/9 = 1

4/9 = 1/2

3 5/7 = 4

Step-by-step explanation:

1. we must round 1 2/5

based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.

2. We must round 7/9

This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.

7 * 2 = 14

9 * 2 = 18

14/18 is only 4/18 away from being 1. This means that it would round up to 1.

3. we must round 4/9

This rounds to 1/2. If you multiply both side by 2:

4 * 2 = 8

9 * 2 = 18

8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.

4. We must round 3 5/7

5/7 would round up to a whole number.

3 + 1 = 4

Thus 3 5/7 = 4 when rounded to the nearest whole number.

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Answer:

The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".

Step-by-step explanation:

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.

The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)

The coordinates of the triangle B are:

(1, 3), (1, 0) and (3, 0)

By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.

Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.

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Answer:2,2

Step-by-step explanation:

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

Juan

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

Mark

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

Barry

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

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Answer:

51%

Step-by-step explanation:

31,408-20,800=10,608÷20,800=0.51×100=51.

You subtract the retail price from the original and you divide the number you get by the original price and then times the number by a hundred.

Answer: the answer is 72

Step-by-step explanation:

if 50% of a number is 120 then that means its only half of that number so to find out the whole number multiply 120 by 2 which gives you the answer of 240

Now we need to determine 30% of 240 and the procedure explaining it as such

Step 1: In the given case Output Value is 240.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 240 = 100%.

Step 4: In the Same way, x = 30%.

Step 5: On dividing the pair of simple equations we got the equation as under

240 = 100% (1).

x = 30% (2).

(240%)/(x%) = 100/30

Step 6: Reciprocal of both the sides results in the following equation

x%/240% = 30/100

Step 7: Simplifying the above obtained equation further will tell what is 30% of 240

x = 72%

Therefore, 30% of 240 is 72

I hope this helps

Answer:

  72

Step-by-step explanation:

You want 30% of a number, given that 50% of it is 120, and 80% of it is 192.

The 30% you want will be the difference between 80% and 50%:

  80% -50% = 30%

  192 -120 = 72

30% of the same number is 72.

The volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

To find the volume of one penny if the volume of 50 pennies is 18.0 mL, we use the concept of proportionality as follows:

We can find the volume of one penny by dividing the volume of 50 pennies by 50 since we know that 50 pennies occupy a volume of 18.0 mL.

Therefore, the volume of one penny can be calculated as:Volume of one penny = Volume of 50 pennies / 50= 18.0 mL / 50= 0.36 mL

Hence, the volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

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Answer: \(1\frac{2}{13}\) or \(\frac{15}{13}\)

Step-by-step explanation:

You would just put 15 over 13 to make it an improper fraction then you would simplify it to \(1\frac{2}{13}\)

The result of dividing 15 by 13 in fraction form is 15/13.

When you divide 15 by 13, you can express the result as a fraction. The numerator of the fraction represents the dividend (15), and the denominator represents the divisor (13).

So, 15 divided by 13 can be written as:

15/13

This fraction is in its simplest form and represents the division of 15/13.

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