To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula 2003-05-04-00-00_files/i0150000.jpg. Rewrite the equation to convert degrees Celsius to degrees Fahrenheit.

Answer: 12 yers

Step-by-step explanation:

Kitchen = 11.3 * 9.25 = 104.525 square feet

Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

The mathematical expression is the combination of 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 Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.

Kitchen = 11.3 x  9.25 = 104.525 square feet

Therefore, Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

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Answer:

x  ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given  : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given  9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x  ≤ – 3.

For ,  4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x  ≤ – 3 or x ≥ 9.

Therefore,  x  ≤ – 3 or x ≥ 9.

Answer: x <_ -3 or x >_ 9

Step-by-step explanation:

The numbers are 13 and 54

What is Linear Equation?

A linear equation is an algebraic equation of the form y = m x + b involving only a constant and a first-order linear term, where m is the slope and b is the y-intercept.

Given data ,

Let the two numbers be x and y , where the smaller number is x and larger number is y

Larger is 2 more than four times the smaller is expressed as

y = 2 + 4 x  , be equation 1

The sum of two numbers is expressed as

x + y = 67   , be equation 2    

Now we have two equations with two unknown variables

To find x and y , we substitute the value of y in equation 1

y = 67 - x

Therefore ,

67 - x = 2 + 4 x

5 x = 65

Dividing by 5 on both sides , we get

x = 13

Substituting the value of x in equation 2 , we get

y = 67 - 13

y = 54

Hence , the numbers are 13 and 54

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Answer:

The answer is b. I and III

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

To Answer this question we need to first understand what each type of income is.

Earned Income refers to the an amount of money received from the act of providing goods or services. Such Income includes Salaries, Paychecks, Sub-contracting work etc.

Passive Income is a periodic inflow of cash received with little to no effort on the part of the beneficiary.

Capital Gains Income refers to the money made on selling a certain asset above the value of purchase.

Know that we have this information we can see that Padraig has two types of incomes. Both Earned Income from his salary and Capital Gains Income from the stocks that he sold. Therefore the answer is b. I and III

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The unit of density is:

               Kilograms per cubic centimeter.

We know that the density of a substance is defined as the ratio of the mass of a substance to it's volume.

i.e.

[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]

Now, we know that the standard unit of the mass of a substance is: Kilograms(kg)

and the standard unit for a volume is: cubic centimeters(cm³)

Hence, we will get the unit for density as:

            Kilograms per cubic centimeter

The equivalent decimal for 1/6 which represents the fraction preferred by Ramon's friend is: B. [tex]\mathbf{0.1\overline{6}}[/tex]

Note the following about recurring decimal:

Thus:

The decimal equivalent of 1/6 = 0.16666..

6 is a repeating digits in the decimal number.

A line would be drawn above only 6 as:

[tex]\mathbf{0.1\overline{6}}[/tex]

In summary, the equivalent decimal for 1/6 which represents the fraction preferred by Ramon's friend is: B. [tex]\mathbf{0.1\overline{6}}[/tex]

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The percentage of the given fraction is 0.15%. Raj has done the mistake in his calculation instead of multiplying 100 he multiplied 1000.

Given that, 3/2000.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, percentage = 3/2000 × 100

= 0.0015 × 100

= 0.15%

The percentage of the given fraction is 0.15%. Raj has done the mistake in his calculation instead of multiplying 100 he multiplied 1000.

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Answer: The correct option is B.

Explanation:

The given function is,

[tex]f(x)=4(\frac{1}{2})^{(x+1)} -3[/tex]

Put x=0 to find the y-intercept.

[tex]f(x)=4(\frac{1}{2})^{(0+1)} -3[/tex]

[tex]f(x)=4(\frac{1}{2}) -3[/tex]

[tex]f(x)=2-3[/tex]

[tex]f(x)=-1[/tex]

At x=0 the value of f(x) is -1, therefore the y- intercept is (0,-1).

Since it is an exponential function in the form of,

[tex]g(x)=ma^x+n[/tex]

Where, 0<a<1, so,

[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty[/tex]

[tex]f(x)\rightarrow -3\text{ as }x\rightarrow \infty[/tex]

Therefore the starts up on the left, gets closer to y = −3 on the right. So the option B is correct.

Answer: the correct answer is B

Step-by-step explanation:

Final answer:

Completing the square is a technique used to solve quadratic equations by transforming the equation into a perfect square trinomial format. It involves a series of steps to find the value(s) of the variable.

Explanation:

Completing the square is a technique used to solve quadratic equations. It involves transforming the equation into a perfect square trinomial format. Here's how you can complete the square:

Move the constant term to one side of the equation.

Take half of the coefficient of the variable term and square it.

Add the squared value to both sides of the equation.

Factor the perfect square trinomial.

Solve for the variable term by taking the square root of both sides.

Get the value(s) of the variable.

1. To find for the value of the slope, we need to have the graph. But you forgot to include the graph in your question. So I will just help you find for it.

In the graph, find for any two pairs of x and y. Then use the equation:

m = (y2 – y1) / (x2 – x1)

where m is the slope, y2 is the 2nd y, y1 is the 1st y, x2 is the x of the 2nd y, x1 is the x of the 1st y

2. Actually the slope m represents the:

 the cost per mile traveled

Answer:

The correct answer to this the slope is 2.5. And the slope represents the cost per miles traveled

Step-by-step explanation:

I just took this test

Answer: 350 adult tickets

Step-by-step explanation:

number of adult tickets sold = x

number of student tickets sold = x-55

x-55+x=645

2x-55=645

2x=700

x=350

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p -> q is true and q is true, then p is always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. If p is true and q is false, the p -> q is always, sometimes, never true.

p -> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.

This translates to:

false -> false

This will always be true.

5. If p -> q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then p will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

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Answer:

Your answer is: Always true

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

I'm always happy to help :)

The problem analyses two salary options: a regular increase (arithmetic sequence) and a percentage increase (geometric sequence). It involves using recursive models to calculate potential earnings over a specified period. Over the long term, the geometric sequence provides a greater total income.

The subject is about Mr. Nicholson's two different salary options. An arithmetic sequence series represents option a) where Mr. Nicholson's salary increases by a steady $3,500 per year. The difference, or increase, remains constant.

On the other hand, option b) represents a geometric sequence where Mr. Nicholson's salary increases by 5% of his current salary each year. The ratio, or multiplier remains constant at 1.05 (current salary * 5%).

To calculate his earnings for the first three years using the recursive model: Option a) Year 1: $60,000 Year 2: 60,000 + 3,500 = $63,500, Year 3: 63,500 + 3,500 = $67,000. Option b) Year 1: $60,000, Year 2: 60,000 * 1.05 = $63,000, Year 3: 63,000 * 1.05 = $66,150.

For a period of 9 years, continually apply the recursive model for each year. It becomes apparent that with the geometric sequence (option b), the amount of raise will increase per year because it is based on a percentage of his increasing salary, providing a higher total over time compared to the arithmetic sequence (option a).

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Answer: He will use 70 liters of gasoline on a trip of 700 kilometer.

Step-by-step explanation:

Given : Jessie uses 20 liters of gasoline to travel 200 kilometers.

We assume that the rate of consumption of gasoline is contant.

By UNITARY METHOD, the amount of gasoline required for 1 kilometer distance = [tex]\dfrac{20}{200}=\dfrac{1}{10}[/tex] liter

Now, the amount of gasoline required for 700 kilometer distance = [tex]700\times\dfrac{1}{10}=70[/tex] liters

Hence, He will use 70 liters of gasoline on a trip of 700 kilometer.

To calculate how many liters of gasoline Jessie will use for a 700 km trip, the fuel efficiency is first determined to be 10 km/L from the given data. Using this information, it is found that Jessie will need 70 liters of gasoline for the 700 km trip.

Jessie uses 20 liters of gasoline to travel 200 kilometers. To determine how much gasoline Jessie will use on a trip of 700 kilometers, we first need to find the fuel efficiency of the vehicle. By dividing the distance traveled by the amount of gasoline used, we get the fuel consumption rate:

Fuel efficiency = Distance / Gasoline

Fuel efficiency = 200 km / 20 L

Fuel efficiency = 10 km/L

Now we know that the vehicle uses one liter of gasoline to travel 10 kilometers. To find out how many liters are needed for a 700 km trip, we apply the following:

Gasoline needed = Trip distance / Fuel efficiency

Gasoline needed = 700 km / (10 km/L)

Gasoline needed = 70 liters

Therefore, Jessie will use 70 liters of gasoline to travel 700 kilometers.

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