Find x and y

help please!!

Find X And Yhelp Please!!

Answers

Answer 1

Answer: the answer for the second is b^x= bxb^y and b^y= b^6xb^x

For the first the answer is b^x=b^3/b^y and b^y= b^3/b^x

Step-by-step explanation: First we must get the x or the y alone. When completing this I believe you have to take into account the exponent rules if you're trying to simplify it fully.

Find X And Yhelp Please!!
Find X And Yhelp Please!!

Related Questions

if a recipe calls for 4 cups of milk, how many fluid ounces are used?

Answers

The required number of fluid ounces used are calculated to be 32 fluid ounces.  

A fluid ounce has a liquid capacity of 1/16 of a US liquid pint or 1/128 of a US gallon in the US system and 1/20 of a pint or 1/160 of an Imperial gallon in the imperial system.

In each cup, there are known to be 8 fluid ounces.

A recipe is said to be made up of 4 cups of milk.

The total number of fluid ounces used are to be calculated.

1 cup → 8 fluid ounces

4 cups → 4 × 8 = 32 fluid ounces

Thus, the required number of fluid ounces used are calculated to be 32 fluid ounces.  

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HELP ASAP PLEASE!!!!!

Answers

Answer:

Step-by-step explanation:

2a) [tex]y=2(1.2^{x})[/tex] where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

:]

Answer:

2a)  where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

Step-by-step explanation:

if a data set is skewed to the left, how will the mean and median compare?

Answers

If a data set is skewed to the left, meaning that it has a long tail to the left (lower values), then the mean will be lower than the median. The median is less sensitive to outliers than mean.

In a data set that is skewed to the left, the mean will be less than the median. The term "skewed to the left" or "negative skewed" refers to the fact that the distribution of the data has a longer tail on the left side (towards smaller values) than on the right side.

When a data set is skewed to the left, it means that there are more lower values than higher values. As a result, the median (which is the middle value) will be larger than the mean (which is the average of all the values). The mean will be pulled down towards the lower values, making it smaller than the median.

For example, consider the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The mean of this data set is 5.5, while the median is 5.5. However, if we add several low values to the data set, it will become skewed to the left: 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10.

The mean of this data set is now 4.5, while the median is still 5.5. The mean has moved towards the lower values, making it smaller than the median.

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Yesterday the temperature was 15 degrees celsius. Today the temperature is 0 degrees Celsius. What is the change in temperature from yesterday to today

Answers

The change in temperature from yesterday to today is -15 degrees Celsius.

What is subtraction?

Subtraction is a mathematical operation that involves finding the difference between two numbers. In other words, it's the process of removing one number from another number. For example, if you have two numbers, 5 and 3, and you want to find their difference, you would subtract the smaller number (3) from the larger number (5), resulting in the answer of 2. The symbol for subtraction is a minus sign (-). So, the subtraction of 3 from 5 can be written as 5 - 3 = 2.

Here,

The calculation is as follows:

Change in temperature = Today's temperature - Yesterday's temperature

Change in temperature = 0 degrees Celsius - 15 degrees Celsius

Change in temperature = -15 degrees Celsius

The temperature has dropped by -15 degrees Celsius from yesterday to today.

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What are the Applications of Differentiation of Trigonometric Functions?

Answers

Differentiation of trigonometric functions has wide-ranging applications in many fields, including physics, engineering, finance, and signal processing. It is used to calculate rates of change, solve optimization problems, model signals, analyze experimental errors, and more.

The applications of differentiation of trigonometric functions are wide-ranging and can be found in many fields, including science, engineering, and finance. Some specific applications of differentiation of trigonometric functions include:

1. Calculating rates of change: In physics, the rates of change of trigonometric functions (such as the velocity and acceleration of a moving object) can be calculated using differentiation.

2. Optimization problems: In engineering and other fields, optimization problems involving trigonometric functions (such as finding the maximum or minimum value of a function) can be solved using differentiation.

3. Signal processing: In electrical engineering and telecommunications, trigonometric functions are used to model signals and their derivatives are used to calculate signal properties such as frequency and amplitude.

4. Financial mathematics: In finance, trigonometric functions can be used to model interest rates and other financial phenomena, and differentiation can be used to calculate financial derivatives such as options.

5. Error analysis: In scientific research, differentiation can be used to analyze experimental errors and estimate uncertainties in measurements.

These are just a few examples of the many applications of differentiation of trigonometric functions. The use of trigonometric functions and their derivatives is widespread and plays a critical role in many fields of study.

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The scale factor of Triangle A to triangle B is 1:2 1/2

Answers

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.


More specifically, it means that for any given pair of corresponding sides of Triangle A and Triangle B, the length of the side in Triangle B is twice as long as the length of the corresponding side in Triangle A.

For example, if Triangle A has sides of length 3, 4, and 5 units, and Triangle B is similar to Triangle A with a scale factor of 1:2, then the corresponding sides of Triangle B will have lengths of 6, 8, and 10 units.

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2.51

4
124°
Find the area
of the given Trapezium

Answers

Answer:

A = ( a + b ) 2 × h .

Step-by-step explanation:

A=*124+b)2×h

Sierra is trying to decide whether her to rent an apartment for $1,200 per month or take out a mortgage for $1, 395 per month. After how many months will the difference in total cost be $48, 750 if the rent does not go up in price?
-150 months
-200 months
-300 months
-250 months

Answers

Step-by-step explanation:

the difference is

1395 - 1200 = $195

how many months until that sums up to $48 750 ?

by checking how often $195 fit into $48,750 :

48750 / 195 = 250

so, it will take 250 months to reach that level.

What are the properties of Laplace transform table?

Answers

The Laplace transform table contains properties and formulas for common transforms, as well as the inverse Laplace transform and the shift theorem. It also includes properties such as linearity, scaling, and time shifting.

The Laplace transform table is an important tool for solving linear differential equations. It contains information about common transformations and their associated formulas, as well as the inverse Laplace transform and the shift theorem. The table also includes properties such as linearity, scaling, and time shifting. Linearity states that if a function f(t) is a linear combination of two functions f1(t) and f2(t), then its Laplace transform F(s) is the sum of the Laplace transforms of f1(t) and f2(t). Scaling states that if a function f(t) is multiplied by constant k, then its Laplace transform F(s) is divided by k. Time shifting states that if a function f(t) is shifted by x units in time, then its Laplace transform F(s) is multiplied by [tex]e^(-sx)[/tex]. These properties can be used to simplify Laplace transforms and to solve linear differential equations. The Laplace transform table is a useful tool for engineers and physicists who use linear differential equations in their work.

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Help please I’m stuck on a question and I’d greatly appreciate it

Answers

Answer: I think that the unknown measure is 22.

Step-by-step explanation: The bottom and height combined is the value of the longer line.

what is the area of 4 walls of square room??

A square room contains 256 cubic meter of air. IF THE cost of painting it's 4 walls at rs 50 per Sq. meter is Rs 6400,find the cost of carpeting its floor at Rs 99 per Sq. Meter. ​

Answers

To find the area of 4 walls of a square room, we need to know the length of one of its sides. Since the volume of the room is 256 cubic meters, we can calculate the length of one side as follows:

side = cube root of 256 cubic meters = cube root of 256 = 4 meters

So, the area of one wall of the square room is 4 meters x 4 meters = 16 square meters.

Since there are 4 walls in the room, the total area of the 4 walls is 4 x 16 square meters = 64 square meters.

The cost of painting the 4 walls of the room would be 64 square meters x Rs 50 per square meter = Rs 3200.

To find the cost of carpeting the floor of the room, we need to find the area of the floor. Since the room is a square, the area of the floor would be the square of the length of one side, which is 4 meters.

Area of floor = 4 meters x 4 meters = 16 square meters

The cost of carpeting the floor would be 16 square meters x Rs 99 per square meter = Rs 1584.

In 1997 the World Resources Institute estimated the world's proven oil reserves to be 1,000 billion barrels and the ultimately recoverable reserves to be 2,000 billion barrels..
Year Consumption(million barrels per day
1997 74
At the 1997 rate of consumption about how long will the estimated 2,000 billion barrels of oil last?

Answers

The proved oil reserves in the globe were projected to be 1,000 billion barrels by the World Resources Institute in 1997, while the eventually recoverable reserves were predicted to be 2,000 billion barrels. 75 years old

The World Resources Institute (WRI) has offices abroad in Brazil, China, India, Indonesia, Mexico, and the United States. The organization's goal is to advance human health and wellbeing, economic opportunity, and environmental sustainability.  WRI collaborates with regional and federal governments, private businesses, publicly traded firms, and other non-profit organizations to provide services addressing challenges such as the global climate change, sustainable markets, ecosystem protection, and environmentally conscious governance.  Since the first of October 2008, WRI has maintained a Charity Navigator rating of 4 out of 4.

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1. Write these percentages as common fractions in simplest form: a)75%​

Answers

You only showed one btw.

75%=3/4

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

What is a percentage?

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are fractions of 100, we know that 75% is equivalent to [tex]\frac{75}{100}[/tex].

Simplifying [tex]\frac{75}{100}[/tex]:

   [tex]\frac{75}{100}[/tex] = [tex]\frac{3}{4}[/tex]

Therefore, 75% as a simplified fraction is [tex]\frac{3}{4}[/tex].

What is the value of 20 milliliters in tablespoons?

Answers

The volume unit milliliter (mL) can be converted to tablespoon (tbsp). One tablespoon is equal to 15 milliliters, so 20 milliliters is equal to 1.333 tablespoons

. This conversion can be done by dividing 20 milliliters by 15 milliliters to get the exact number of tablespoons. The formula for this conversion is:Tablespoons = Milliliters ÷ 15 .The calculation for 20 milliliters is as follows: Tablespoons = 20 mL ÷ 15 .Tablespoons = 1.333 tbsp.Therefore, 20 milliliters is equal to 1.333 tablespoons. To convert other volumes of milliliters to tablespoons, you can use the same formula and calculation. For example, if you want to convert 30 milliliters to tablespoons, you would use the formula: Tablespoons = Milliliters ÷ 15 Then calculate: Tablespoons = 30 mL ÷ 15 Tablespoons = 2 tbsp,In conclusion, the conversion of milliliters to tablespoons can be done using the formula: Tablespoons = Milliliters ÷ 15. When using this formula, the number of tablespoons is calculated by dividing the volume of milliliters by 15. For example, 20 milliliters is equal to 1.333 tablespoons and 30 milliliters is equal to 2 tablespoons.

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Nathan and his best friend found money under the couch they split the money seven evenly each getting $6.86 how much money did they find write an expression

Answers

(I ignored the seven, I'm sorry if I'm wrong.)

6.86x2

6.86x2=13.72

13.72$

7.
A
В
70°
E
85
959х950
15
85
?
C
Solve for the indicated angle or arc

Answers

Answer:

  BC = 100°

Step-by-step explanation:

You want the measure of arc BC formed by two chords that intersect at 85° and intercept an opposite arc of 70°.

Angle at crossing chords

The angle formed by crossing chords is the average of the angles they intercept. Here, that means ...

  85° = (? +70°)/2 . . . . the crossing angle is 85°

  170° = ? +70° . . . . . . multiply by 2

  100° = ? . . . . . . . . . subtract 70°

The intercepted arc BC is 100°.

Angelique had 20
20
tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left.

Angelique wrote the expression 3(20−t)
3
(
20
-
t
)
to find the number of tokens she has now, where t
t
is the number of tokens she lost.

Dante correctly wrote another expression, 60−3t
60
-
3
t
, to find the number of tokens Angelique has now.

Use the drop-down menus to explain what each part of Angelique's and Dante's expressions mean.

Answers

The meaning of each of the expressions Dante constructed is illustrated below.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Angelique had 20 tokens to use for games at the arcade.

After she lost 't' amount of tokens the remaining number of tokens became

20 - t.

After his father tripled the number of tokens it became 3(20 - t).

Dante distributed the terms 3(20 - t) and get the remaining number of tokens after his father tripled the number of tokens is 60 - 3t.

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Ali purshacsed a coat that costs 38$ sales tax was 4.5% of the purchase price how much did Ali pay in sales tax

Answers

The amount ali paid in tax is $1.71.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

We are given that;

Cost of coat=$38

Rate= 4.5%

Now,

To find out how much Ali paid in sales tax, we need to multiply the purchase price by the sales tax rate:

Sales tax amount = Purchase price x Sales tax rate

Sales tax rate = 4.5% = 0.045 (in decimal form)

Purchase price = $38

Sales tax amount = $38 x 0.045 = $1.71

Therefore, by the given rate Ali paid $1.71 in sales tax.

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What are rations equivalent to 5:3 ( can not be 10:6)

Answers

Answer:  20:12

Step-by-step explanation:

Answer:

15:9

Step-by-step explanation:

multiply both by 3,4,5,6,7,8,9,etc.

PLEASE HELP ASAP‼️‼️‼️Are the sides proportional?
Set up each ratio of sides and determine if they are equal
ratios. Show all of your work.
3.61 cm
R
44°
S
11.97 cm
9.71 cm
IS
N
T
17.955 cm
14.565 cm
121°
44°
M
L
5.415 cm

Answers

The side lengths form a proportional relationship, and the ratios are;

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

First is Congruent angle measures, then Proportional side lengths.

Here, the triangles are similar, because they have the same angle measures.

17.955/11.97 = 14.565/9.71

= 5.415/3.61.

Thus, the side lengths form a proportional relationship, have a ratio of 1.5.

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Find the perimeter of △CBH if △CBH~△FEH, ADEG is a parallelogram, CH=7, FH=10, FE=11, and EH=6. Express your answer as a decimal, if necessary.

Answers

The perimeter of triangle ΔCBH found using the relationship between similar triangles, ΔCBH, and ΔFEH is 18.9

What are similar triangles?

Similar triangles are triangles that have the same shape and interior angles and between which the ratio of their corresponding sides are equivalent.

The specified parameters are;

The triangles ΔCBH and ΔFEH are similar, ΔCBH ~ ΔFEH

The alternate interior angles theorem indicates that we get;

∠BCH is congruent to ∠EFH and ∠CBH is congruent to ∠FEH

Vertical angles theorem, indicates that we get;

∠CHB ≅ ∠FHE

The ratio of the corresponding sides formed between similar triangles are equivalent, therefore, we get;

CH/FH = BH/EH

7/10 = BH/6

BH = 6 × (7/10) = 4.2

BH = 4.2

CH/FH = BC/EF

7/10 = BC/11

BC = 11 × 7/10 = 7.7

BC = 7.7

The perimeter of the triangle ΔCBH = BC + BH + CH

Therefore, the perimeter of ΔCBH = 7.7 + 4.2 + 7 = 18.9

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Shelby needs the total
weight of her suitcase to be
under 50 lbs. Currently,
Shelby's suitcase weighs
42.5 lbs. How many more
pounds can Shelby pack in
her suitcase and still stay
within her limit?

Answers

Shelby can pack 50 lbs - 42.5 lbs = 7.5 lbs more in her suitcase and still stay within the weight limit.

help please i don’t understand this

Answers

Answer:

1. dotted

2. solid

3. dotted

Step-by-step explanation:

dotted-- "greater than" or "less than"

solid-- "greater than" or equal " or "less than or equal"

p.s.---- i think of it as if the line is under the symbol then the line is solid, if there is no lie under the symbol then it is dotted

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If you flip a coin 2 times, what is the best prediction possible for the number of times it will land on tails?

Answers

The probability that it would have to land on tails is 1

How to solve for the probability

The coin is known to have two sides.

The two sides of a coin are the head and the tail

the probability of head is given as 50 percent

The probability of tail is also given as 50 percent

Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as

2 * 50 percent

= 2 * 0.5

= 1

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Han bought a scooter for $3,200. In 5 years, the value of the scooter will depreciate by 65%. What will the value of the scooter be after 5 years?

Answers

The required value of the scooter after 5 years will be $1,120.

What is Percentage?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, if there are 20 students in a class and 5 of them are boys, the percentage of boys in the class can be calculated as follows:

Percentage of boys = (Number of boys / Total number of students) x 100%

According to question:

After 5 years, the scooter will depreciate by 65%, which means its value will be reduced to 35% of its original value.

35% of $3,200 = 0.35 x $3,200 = $1,120

Therefore, the value of the scooter after 5 years will be $1,120.

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hey, good morning i have a question!
2x^+4=8^x

Answers

Answer:

the solution to the equation 2x^+4=8^x is x = 1.

Step-by-step explanation:

To solve the equation 2x^+4=8^x, we can start by simplifying both sides of the equation.

First, we can rewrite 8^x as (2^3)^x, using the property that 8 is equal to 2 raised to the power of 3.

So, the equation becomes:

2x^+4 = (2^3)^x

2x^+4 = 2^(3x)

Next, we can rewrite 2x^+4 as 2^2 * 2^x, using the property that a^b * a^c = a^(b+c).

So, the equation becomes:

2^2 * 2^x = 2^(3x)

2^(x+2) = 2^(3x)

Now, we can equate the exponents on both sides of the equation:

x + 2 = 3x

2x = 2

x = 1

Therefore, the solution to the equation 2x^+4=8^x is x = 1.

Answer:

Below

Step-by-step explanation:

2  x^4  =  8^x        <====not sure syntax is correct(?)

Solving GRAPHICALLY shows x = - .61181

Match the numbers with the correct label.

Answers

The value of a is 0.14, b is 0.2 and c is 0.33.

What is Number Line?

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Given:

The number a and b lies between 0/4 and 1/4. (0 and 0.25).

We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).

So, the value of a can be 0.14

and, value of b is 0.2.

and, the value of c is 0.33.

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What is forty-seven and seven tenths minus twenty-three and nineteen hundredths? and give an answer as a decimal(step by step pls)

Answers

Forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

To find the difference between forty-seven and seven tenths (47.7) and twenty-three and nineteen hundredths (23.19), we can simply subtract the two numbers using the standard subtraction method for decimals. Here are the steps:
1. Line up the decimals:
47.70
-23.19
2. Subtract the hundredths place: 0 - 9 = -9. Since we can't have a negative number in the hundredth place, we need to borrow 1 from the tenths place. So, 10 - 9 = 1.
3. Subtract the tenths place: 6 (after borrowing) - 1 = 5.
4. Subtract the ones place: 7 - 3 = 4.
5. Subtract the tens place: 4 - 2 = 2.
So, the final answer is 24.51.

Therefore, forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

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A skilled mason is tiling the floor of 10 m long and 5 m wide room by square tiles of side 0. 5 m at the rate of ₹ 6 per tile

Answers

200 tiles are required to cover the floor. The cost of tiling at the rate of $7 per tile is ₹ 1200.

A competent mason is installing square tiles with a side of 0. 5 m on the floor of a room that is 10 m long and 5 m broad at a cost of ₹ 6 for each tile.

The entire floor space that has to be tiled is:

Area

= length x width

= 10m x 5m

= 50 square meters

An area of each square tile is:

Area of a square tile

= side x side

= 0.5m x 0.5m

= 0.25 square meters

In order to tile the floor, the following total number of tiles is needed:

Total number of tiles

= Area / Area of a square tile

= 50 / 0.25 = 200

The total cost of tiling the floor at the rate of ₹ 6 per tile is:

Total cost

= Total number of tiles x Cost per tile

= 200 x ₹ 6

= ₹ 1200

So, to tile the floor of the 10m long by 5m broad room with square tiles with a 0.5m side, the professional mason will demand ₹ 1200.

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Question- A floor of the room 10 m long and 5 m wide is to be covered by square tiles. If each square tile is 0.5 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of ₹ 6 per tile.

factor completey x^2+7x-18

Answers

Answer:

[tex]\huge\boxed{\sf (x - 9)(x + 2)}[/tex]

Step-by-step explanation:

Given expression:

x² + 7x - 18

Using mid-term break formula.

Multiply the side terms. [-18 × x² = -18x²]Now, split the mid-term in such two factor, such that multiplying both gives the side terms.We can split -7x (mid term) into -9x + 2x since -9x × 2x = -18x²

So,

= x² - 9x + 2x - 18

Now, take x from (x² - 9x) and 2 from (2x - 18) common

= x(x - 9) + 2(x - 9)

Take (x - 9) common

= (x - 9)(x + 2)

[tex]\rule[225]{225}{2}[/tex]

Other Questions
PLEASE HELP IMMEDIATELY (WILL GIVE 30 POINTS!!!) Use your answer to problem 2 to find the measure of /LOM and /MON. (The answer to problem 2 is x = 9) what is utility definition ? If Nathan distributes all of the hot sauce equally among the 7 bottles, how much will be in each bottle? #7An insect population after x months can be modeled bythe function g(x) = 11(1.2). Which statement is thebest interpretation of one of the values in this function?The insect population increased by 12 insects each monthThe insect population decreased by 12 insects each monthThe insect population increased at a rate of 20% each monthThe insect population decreased at a rate of 20% eachmonth+ A registered representative wants to give employees of another broker-dealer located in the same office building $20 boxes of chocolates for the holiday season. Which of the following is TRUE? The gifts would not be permitted as all gifts to other member firm employees are strictly prohibited. 13. Taxpayers with an office in their home may deduct a percentage of their home-related expenses. This percentage is based on the ratio of the office's area to the area of the home. A taxpayer with a 2400 square-foot home maintains a 20-foot by 19 foot office If the yearly electricity bills for the home come to $4800 how much of this is deductible? How much money is deductible from the bill? (simplfy your answer) which of the following accounting principles prescribes that a company record its expenses incurred to generate the revenue reported?A) Going-concern assumption.B) Consideration assumption.C) Cost principle. think about henson. which happened before he was at the north pole? What is the ICD-10 code for diabetes? which of these membranes is dry compared to the others?a.cutaneousb.synovialc.serousd.mucouse.mesothelial larry is the marketing manager at blue concepts, a management consulting firm. his calendar is filled with meetings with heads of the companies, interviewing new employees, giving interviews to business magazines, attending presentations and seminars in different countries, and the like. larry feels that every workday he has something different to do, and he is rarely bored with his job. according to the job characteristics theory, which of the following is true about larry's job? ga) It has high moral significance.b) It has low autonomy.c) It has high identity.d) It has low labor equity.e) It has high variety. The figure is cut into 6 equal pieces. Shade 2/3 of the figure. which organization handles resources unt with regard to performance evaluation special reports should be written for what? How Much Does Gasoline Weigh Per Gallon? Please subtract and simplify.Subtract (9x+8)-(3x + 5)6x + 132x + 136x + 36x - 3 Select the correct answer. Which calculation correctly uses prime factorization to write 48 in simplest form? A. 48 = 2 2 2 2 3 = 2 12 B. 48 = 4 12 = 2 12 C. 48 = 2 2 2 2 3 = 4 3 D. 48 = 16 3 The Smith family is selling their home for $250,000 with a required down payment of 5%. Find the amount of the required down payment and the mortgage.Down Payment: Mortgage: jaly has 241 times greater of gummys than deens who has 463 but jaly gave 50 away than recived 3542 write this in a sentence in fraction and decimal useing these fractions 6/2 and 4/8 WILL MARK AS BRAINLEST PLSSS HELP Like many students at college, Arturo struggles to find a parking space on campus. Every year he has to buy a parking permit, whichallows him to park on campus. Unfortunately, buying a permit does not guarantee that hecampus wellcan find parking spot. So he often gets tobefore class starts, hoping to find a good parking spot, but ends up driving around until someone leaves. One day after hiseconomics class, Arturo comes up with a potential solution to the problem. He suggests the following:Suppose the demand for parking is given by the following equation: Qp10,000 - 500P. At Arturo's school, there are 7,000 parkingspaces for students. For the questions below, give all answers to the nearest whole number.a. At most universities, students do not pay to park each day. TheyTherefore, the price students face each day is $pay for a permit, which only allows them to park on campus.. Unfortunately, this creates a shortageofparkingspaces.b. The university, in order to prevent the shortage issue, is changing from selling parking permits to charging a daily parking fee.Suppose parking spaces were allocated at Arturo's school using the market mechanism. In this case, students would have to pay $each day to park.c. As his school gets larger, the demand for parking increases to Qpl 12,000 500P. If Arturo's university wanted to keep the marketprice (the price of daily parking) the same, it would have to providemore parking spaces.