The total area or NC is 53,800 square miles. Land accounts for 48800 square miles. What percent of North Carolina is covered in water?

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Number of members in the easton west high school marching = 52

Number of members in the weston high school marching = 65

We need to find the number of rows so that each row has the same number of players.

For this we will do L.C.M. of 52 and 65.

So, L.C.M. of 52 and 65 = 13

Hence, there are 13 rows in all.

Therefore, Option 'B' is correct.

regular earnings  + overtime = 421.00 + 78.00 = 499.00

add all the deductions: 29.59 + 30.75 + 18.30 + 25.00 + 7.50 + 5.00 = 116.14

subtract deductions from pay:

499.00 - 116.14 = 382.86

 Answer is B $382.86

hypotenuse = c

c^2 = 3.4^2 + 2.6^2

c^2 = 11.56 + 6.76

c^2 = 18.32

c = sqrt(18.32) = 4.28

rounded to nearest tenth = 4.3

Answer:

Vivian should start working by 10.25 am.

Step-by-step explanation:

Time taken to mow the lawn = 1 hour and 10 minutes

Time to trim bushes = 30 minutes

Time for putting down mulch = 35 minutes

Time to get dressed = 20 minutes.

Total time = 1 hour + (10+30+35+20) minutes

= 1 hour + 95 minutes

= 1 hour + (60+35) minutes

= 1 hour + 1 hour + 35 minutes

= 2 hours 35 minutes.

This means Vivian should start working 2 hours 35 minutes before 1:00 pm.

So, it becomes ; 10:25 am.

1. What happens if you don't pay your car insurance premium for your vehicle?

Your are not insured and are driving illegally.

2. Suppose that you only have liability and comprehensive car insurance and you allow your roommate (who doesn't have car insurance) to drive your car to run an errand. What will likely happen if there is a single-car accident causing moderate damage to your car while your roommate is driving?

Your insurance policy will likely not cover the damages to your car.

3. John, Alyson and Jared all selected identical new cars at the same price. John bought the car with some of his own money and the rest a car loan. Alyson bought the car with cash. Jared leased the car. What is true about their options for car insurance?

Alyson has the option to choose the less expensive liability-only insurance coverage.

4. William pays his $500 premium every 6 months for automobile insurance with collision coverage. His deductible is $750. William caused a minor accident that resulted in $700 of damages to his car and $1,100 of damages to the other car. William's car looks and drives fine and he chooses not to file a claim to repair his car. How much will William pay out-of-pocket to have the other car fixed?

$0

5. When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, what should the insurance coverage amount be based on…

The market value of the house.

6. How can understanding risk management topics help in everyday life?

All answers are correct.

Answer:

D. 3, 4, 5

Step-by-step explanation:

Pythagorean theorem : [tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

If the given options satisfy the theorem .So, they form a Pythagorean triple.

Hypotenuse is the longest Side

A)7, 8, 9

Hypotenuse = 9

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]9^2 = 7^2+8^2[/tex]

[tex]81 = 49+64[/tex]

[tex]81 \neq 113[/tex]

Hence not a Pythagorean triple.

B)1,2,3

Hypotenuse = 3

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]3^2 = 2^2+1^2[/tex]

[tex]9 = 4+1[/tex]

[tex]9 \neq 5[/tex]

Hence not a Pythagorean triple.

C) 4,5,6

Hypotenuse = 6

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]6^2 = 3^2+4^2[/tex]

[tex]36 = 9+16[/tex]

[tex]36 \neq 25[/tex]

Hence not a Pythagorean triple.

D)3,4,5

Hypotenuse = 5

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]5^2 = 3^2+4^2[/tex]

[tex]25 = 9+16[/tex]

[tex]25 = 25[/tex]

Hence a Pythagorean triple.

Hence Option D represents side lengths that form a Pythagorean triple

Answer:

it is D 3,4,5

Answer:

1. -9/14

2.  6/49

3. number 4

Step-by-step explanation:

Answer:

The answer/measure is 45 degress.

Step-by-step explanation:

The measure of  ∠DAE is 45°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In the given figure let's say angle FAE = x than

x = 180 - 134 = 46 degree

Now by line CAF angle  ∠DAE = 180 - ( 89 + 46 ) = 45° hence it will be correct answer.

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Answer:

The function for the given description is y = ln (x + 1) - 0.098 .

Step-by-step explanation:

As you can see in the problem the asymptote is x = -1. This means that the function is not defined for x= -1 and as you know, natural logarithm is not defined for zero. So, it implies that when x tends to -1 the function tends to infinite. So it must be a number adding to x that makes -1 + b = 0 ⇒ b= 1.

Then, you have y = ln (x + 1). If you check, when you replace the point given in the problem (2,1), you find that y = ln (2 + 1) ⇒ y = ln(3) ⇒ y = 1.098, so you can introduce a correction factor ⇒ y = ln (x + 1) - 0.098.

Summarizing, the function decribed before can be y = ln (x + 1) - 0.098.

Answer:

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

Answer: Once you put the numbers in order and find the median do the same process that you did to find the median to the left and right side of the median. Once you find the " median " of the left and right sides ( which are called the 1st and 3rd Quartiles ) You will subtract the 1st quartile from the 3rd Quartile and that will give you the IQR.

Step-by-step explanation:

Final answer:

With the imposition of a $30 tax on dog sitting, Rebecca and Susan would both be worse off by the combined surplus of $25 they initially had without the tax, as the tax exceeds the surplus and disrupts the transaction.

Explanation:

The question involves the impact of a tax on a market transaction between Rebecca and Susan, who had initially agreed upon a price for dog sitting. Initially, without the tax, the surplus for Rebecca would be the difference between what she values the service at ($200) and the agreed price ($185), which is $15. For Susan, the surplus is the difference between the agreed price ($185) and her minimum acceptable price ($175), which is $10. This results in a combined surplus of $25. When a $30 tax is imposed, it is likely that they will share the burden of the tax, but without specifics on how the tax is divided, we will consider it fully affects either party. If the full tax falls on Susan, she would receive $155 ($185 - $30), which is less than her minimum price of $175; thus, she would no longer agree to dog sit. If Rebecca bears the entire tax, she would effectively be paying $215 ($185 + $30), which is more than her valuation of $200, and she would not agree to the transaction. Regardless, the transaction would not occur due to the tax, making both parties worse off by the surplus they would have gained, which is the combined $25.

The 5 employees work per day is [tex]31\frac{1}{3}[/tex].

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These essential numerical tasks (+, - , ×, and ÷) we use in our regular day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given total employees in flower shop = 5

each employee work [tex]6\frac{4}{15}[/tex] hours per day

[tex]6\frac{4}{15}[/tex] can be solved as = 6 + 4/15 = 94/15

total work time of 5 employees can be calculated by

94/15 + 94/15 + 94/15 + 94/15 + 94/15 = 470/15 = 94/3

or 5 x 94/15 = 94/3

dividing 94 by 3  we get [tex]31\frac{1}{3}[/tex] in mixed fraction.

Hence the total work 5 employees do in a day is [tex]31\frac{1}{3}[/tex].

Learn more about arithmetic operations;

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Answer:

45 degrees Fahrenheit = 7.3 Celsius

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is given by :

[tex]F=\dfrac{9}{5}C+32[/tex]

In this case, it is required to convert degree Fahrenheit to Celsius. It can be simply done by putting the value of F = 45 degrees Fahrenheit to Celsius. So,

[tex]C=\dfrac{(F-32)5}{9}[/tex]

[tex]C=\dfrac{(45-32)5}{9}[/tex]

C = 7.222

or

T = 7.3 Celsius

So, 45 degrees Fahrenheit is equal to 7.3 Celsius. Hence, this is the required solution.

City A = x

City B = y

1st equation: 4x-8 =3y

 2nd equation: x-2y = -3 , rewrite as x = 2y-3

replace x in eq. 1 with equation 2

4(2y-3) -8 =3y

8y-12-8=3y

8y-20 = 3y

-20 = -5y

y = -20/-5 = 4

x = 2y-3 = 2(4)-3 = 5

City A was 5° C, and City B was 4° C. 

Answer:

The answer is 3 feet

Step-by-step explanation:

The displacement  function is the integration of the velocity formula, so:

[tex]d(t)=\int\limits^0_t \, (-t^{2} +4) dt \\d(t)=\int\limits^0_t{} \, (-t^{2}) dt + \int\limits^0_t{} \, 4 dt \\\\d(t)=(\frac{-t^{3} }{3} + C ) + (4t + C)\\\\\\\ d(t)=frac{-t^{3} }{3} + 4t + C\\[/tex]

if we evaluate the displacement for the upper and lower limit it would be

D = total displacement = d(3) - d(0)

[tex]D=(\frac{-3^{3}  }{3}  + 12 + C) - (\frac{-0^{3} }{3}  + 4*0 + C)\\\\D=(-9  + 12 + C) - (0  + 0 + C)\\\\\\D=(3 + C) -  C\\\\\\D=3[/tex]

Answer:

3 feet

Step-by-step explanation:

The relationships between displacement (position), velocity and acceleration are:

[tex]\boxed{\boxed{\begin{array}{c}\textbf{DISPLACEMENT (s)}\\\\\text{Differentiate} \downarrow\qquad\uparrow\text{Integrate}\\\\\textbf{VELOCITY (v)}\\\\\text{Differentiate}\downarrow\qquad\uparrow \text{Integrate}\\\\\textbf{ACCELERATION (a)}\end{array}}}[/tex]

Displacement is an object’s distance from a particular point (often its starting point), measured in a straight line. It’s not necessarily the same as the total distance travelled.

To find the displacement of an object in its first 3 seconds of travel, we need to integrate its velocity function on the interval [0, 3] seconds.

[tex]\begin{aligned}\displaystyle \int^3_0 (-t^2+4)\; \text{d}t&=\left[\dfrac{-t^{2+1}}{2+1}+4t\right]^3_0\\\\&=\left[-\dfrac{t^{3}}{3}+4t\right]^3_0\\\\&=\left(-\dfrac{(3)^{3}}{3}+4(3)\right)-\left(-\dfrac{(0)^{3}}{3}+4(0)\right)\\\\&=-9+12+0-0\\\\&=3\end{aligned}[/tex]

Therefore, the displacement of the object on the interval [0, 3] seconds is 3 feet.

Answer: ∠X

Step-by-step explanation:

If ΔABC is congruent to ΔXYZ then their corresponding parts must be congruent by CPCTC.

To find the corresponding angle to ∠A, just check the position of A in the name of ΔABC,

A is the first letter in the name of ΔABC, thus the angle corresponding to  ∠A is ∠X.

Answer:

D) 3/8

Step-by-step explanation: