A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising as she leaves the ramp?

A Waterskier Skis Over The Ramp Shown In The Figure At A Speed Of 30 Ft/s. How Fast Is She Rising As

Answers

Answer 1

The waterskier has a final speed of approximately 25.350 feet per second.

What is the final speed of the waterskier?

In this question we need to determine the final speed of the waterskier, that is, the final speed of the waterskier when she leaves the ramp. This can be done by means of the principle of energy conservation, where the total energy is the result of combining translational kinetic energy (K), in pounds-feet per second, related to the speed of the waterskier, and gravitational potential energy (U), in pounds-feet per second.

The equation that represents the situation is described below:

K = U + K'

0.5 · m · v² = m · g · h + 0.5 · m · v'²

0.5 · v² = g · h + 0.5 · v'²

v'² = v² - 2 · g · h

Where:

K' - Final translational kinetic energy, in pounds-feet per second.K - Initial translational kinetic energy, in pounds-feet per second.m - Mass of the waterskier, in pounds.v - Initial speed of the waterskier, in feet per second. v' - Final speed of the waterskier, in feet per second.g - Gravitational acceleration, in feet per square second. h - Final height of the waterskier, in feet.

If we know that v = 30 ft / s, g = 32.174 ft / s² and h = 4 ft, then the final speed of the waterskier is:

v' = √[(30 ft / s)² - 2 · (32.174 ft / s²) · (4 ft)]

v' ≈ 25.350 ft / s

The final speed of the waterskier is approximately 25.350 feet per second.

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Related Questions

Simplify.
-6√7.4√5
-2√35
24√√35
-24 √√35

Answers

The simplified form of the expression is -24√35

Expression

Basically, an expression is the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Here we have the expression -6√7.4√5

Now, we have to simplify the expression.

While we looking into the given expression, we have identified that the expression is in the form of multiplication,

So, the first step in solving the expression is to group the similar element,

So, the grouped form of the expression is,

=> (-6 x 4).(√7 x √5)

Now, we have to perform the multiplication on it, then we get,

=> -24√35

Therefore, the simplified form of the expression is -24√35

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(x+1)² using identity





please help on this question

Answers

Answer:

[tex]x^2+2x+1[/tex]

Step-by-step explanation:

Note that [tex](a+b)^2=a^2+2ab+b^2[/tex].

Let [tex]a=x[/tex] and [tex]b=1[/tex].

[tex](x+1)^2=x^2+2(x)(1)+1^2=x^2+2x+1[/tex]

What's 237 to the square root?

Answers

Answer:

heyyy

Step-by-step explanation:

Jay and Ted observed two points, P and Q, on a number line.

A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0.
Jay said that the absolute values of the numbers represented by the two points are the same.

Ted said that the absolute values of the numbers represented by the two points are different.

Which of the following explains who is correct? (1 point)

Jay, because each point is fraction 1 over 8 unit from 0
Jay, because the distance between the points is fraction 1 over 8 unit
Ted, because the points are on different sides of 0
Ted, because the points are at different locations on the number line

Answers

Jay, because each point is fraction 1 over 8 unit from 0.

What is absolute length?

One way to think about a number's absolute value is as its distance from zero on the real number line.In addition, the distance between two real numbers is the absolute value of their difference.

For instance, the absolute value of 12:

Since each number is 12 units away from zero, it is clear that 12 and -12 both have the same absolute value, which is 12. In order to determine the absolute value of a negative number, simply remove the minus sign. Absolute value is always positive.

Absolute value is the length from which the number is from 0 in this they are adding two so it would mean that they are both 1/8 away from 0.

Hence, Jay, because each point is fraction 1 over 8 unit from 0.

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Write a quadratic equation that goes through
the points (1,-3), (2,-5), and (-1,-11).

Answers

Answer:

1-3+2-5+-1-11

Step-by-step explanation:

I hope this helps :’)

A baker makes 164 cupcakes. To complete an order, he needs 36 more cupcakes. He packs the cupcakes in boxes t
each hold 9 cupcakes. How many boxes will the baker need to pack the whole order?
A) 14 boxes
B) 15 boxes
22 boxes
23 boxes

Answers

I’m pretty sure the answer is 22 boxes

Explanation:
164 cupcakes plus another 36 is 200
200 divided by 9 is 22
I think it would be c the 23 box that seems right to me

I need help
y= 350x + 1.25​

Answers

Answer: 351.25

Step-by-step explanation:

unless there is more to the question that I am not seeing that is the answer.

Which graph represents the given equation? A. A parabola declines through (negative 1, 4), (negative 1, 3), (0, 2) and (1 point 5, negative 4 point 5) and rises through (2, negative 4), (3, 0) and (4, 6) on the x y coordinate plane. B. A parabola declines through (negative 4, 5), (negative 3 point 5, 2), (negative 3, 0) and (negative 1 point 5, negative 4 point 5) and rises through (0, negative 2), (1, 3) and (1, 4) on the x y coordinate plane. C. A parabola declines through (negative 2 point 3, 5), (negative 2, 2) and (negative 0 point 5, negative 3 point 1) and rises through (0, negative 2), (1, 4) and (1, 5) on the x y coordinate plane. D. A parabola declines through (negative 1, 5), (negative 0 point 5, 2), (0, negative 2) and (0 point 5, negative 3 point 1) and increases through (2, 2), (2 point 5, 5) on the x y coordinate plane.

Answers

The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.

How to obtain the graph of a quadratic function?

To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:

The x-intercepts, which are the roots of the function.The y-intercept, which is the value of y when the function crosses the y-axis.The vertex, which is the turning point of the function.

The function for this problem is defined as follows:

y = 1.5x² + 4x - 2.

Hence the numeric values of the coefficients are listed as follows:

a = 1.5, b = 4, c = -2.

Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:

x = -3.09  -> hence the function passes through point (-3.09, 0).x = 0.43 -> hence the function passes through point (0.43, 0).

The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).

The x-coordinate of the vertex is given as follows:

x = -b/2a = -4/3 = -1.33.

Hence the y-coordinate of the vertex is of:

y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.

Missing Information

The problem asks for the graph of the following function:

y = 1.5x² + 4x - 2.

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Equipment was acquired at the beginning of the year at a cost of $36,000. The equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $700.

Question Content Area
a. What was the depreciation for the first year?
fill in the blank

b. Assuming the equipment was sold at the end of year 2 for $8,860, determine the gain or loss on the sale of the equipment.
fill in the blank

Answers

The depreciation for the first year is $28,800.

If the equipment is sold for $8,860 at the end of year 2, the loss on the sale is $-14,180.

What is the depreciation in year 1 and the loss on the sale?

Depreciation is the method used in expensing the cost of an asset. The double declining method is an exponential method that is used to expense the cost of an asset.

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor for the double declining method = 2 x (1/useful life)

Depreciation expense in year 1 = (2 / 10) x $36,000 = $7,200

Book value at the beginning of year 2 = cost of the asset - depreciation in year 1

$36,000 - $7,200 = $28,800

Depreciation in year 2 = (2/10) x  $28,800 = $5,760

Book value at the end of year 2 = book value at the end of year 1 - depreciation in year 2

$28,800 - $5,760 = $23,040

Loss = sales price - cost price

Loss = $8,860 - $23,040 = $-14,180

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Yearly budget 1200 you spend 350 what percentage is spent

Answers

Answer:

29.16% is spent

you have to divide 350 by 1200 then multiply by 100 then the answer will come

Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 30 liters
of 60% acid solution?
Gabe needs ___ of the 40% solution.

Answers

He needs 10 litres of solution of 40% and 20 litres of 70% solution to make 30 litres of 60% acid solution.

According to the question,

We have the following information:

Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution.

Now, let's take x litres of 40% solution and y litres of 70% solution.

So, we have the following expressions:

x+y = 30

x = 30-y ....(1)

40x/100 + 70y/100 = 30*60/100

Dividing 100 on the numerator by 100 on denominator:

40x+70y = 1800

Dividing both sides by 10:

4x+7y = 180

Putting the value of x from equation 1:

4(30-y)+7y = 180

120-4y+7y = 180

120+3y = 180

Subtracting 120 from both the sides:

3y = 180-120

3y = 60

y = 60/3

y = 20

Now, putting this value of y in equation 1:

x = 30-y

x = 30-20

x = 10

Hence, he needs 10 litres of 40% solution and 20 litres of 70% solution to make 30 litres of 60% acid solution.

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the distance between two cities is 4 kilometeres. how many meters apart are the two cities

Answers

Answer: 4000

Step-by-step explanation: x by 1000

A tourist from the U.S. is vacationing in Greece. One day, he notices that gasoline costs 1.28 euro per liter. On that same day, euro is worth 1.09 dollars. How much does the gas cost in dollars per gallon? First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.

Answers

The cost of the gas in dollars per gallon would be = $5.3 per gallon.

What is the conversation of liters to gallon?

Liters can be converted to gallon as 1 liter = 0.264 gallon.

On the first day, the cost of gasoline = 1.28 euro per liter

On the first day, the worth of £1 = $ 1.09

Which means, if £1 = $1.09

£ 1.28 = $x

Make $x the subject of formula;

$x = 1.28 × 1.09/1

$x = $1.40

Which means that on the first day, the cost of gasoline in dollars = $1.40

To convert liters to gallon;

1 liter = 0.264 gallon

If $1.40 = 0.264 gallon

$x = 1 gallon

make $x the subject of formula;

$x = 1×$1.40/0.264

$x = 5.3

Therefore, the cost of gasoline in dollar per euro = $5.3 per gallon.

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Which fraction has the same value as 44.4¯%?

Answers

Answer: 111/250

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

44.4% = 44.4/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

44.4/100 = (44.4 x 10)/(100 x 10) = 444/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(444,1000) = 4. So,

Simplify -1 2/3 minus 9 2/5

Answers

Answer:

one ninths

Step-by-step explanation:

1/3-2/9 - fraction calculator. The result is 1/9 ≅ 0.1111111 = one ninth.

Multiply.

1,000 x 550.343978

Answers

Answer:

1,000 x 550.343978 = 550343.978

1,000 x 550.343978 = 550343.978

what is 500,000x100=

Answers

5 x 10^7 in scientific notation and 50,000,000 in regular form

The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]

We have,

The product of 500,000 multiplied by 100.

= 500,000 x 100

= 50,000,000

This can be written as:

= 5 x [tex]10^7[/tex]

Therefore,

The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]

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What is the sum

5/7 + 1/2 + 3/4

Answers

55/28 is the correct answer

Answer: The sum is 55/28.

Alternate Answer: 1 27/28

Step-by-step explanation:

In this equation, the common denominator between the three fractions would be twenty eight.

5/7 converts to 20/28

1/2 converts to 14/28

3/4 converts to 21/28

After adding all the new fractions together, you get 55/28.

Travis had a box of 68 french fries. He gave 13 french fries to each of f friends. Which expression shows how many french fries he had left after giving some to his friends? A. 68 - f × 13 B. (68 + f) × 13 C. 68 + f × 13 D. (68 - f) × 13

Answers

The expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f, so option A is correct.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given:

The total no of french fries = 68,

The no of friends = f,

The no of french fries given to each friend = 13

The equation according to the question is given as,

The french fries left = The total no of french fries - The no of french fries given to each friend × The no of friends

Substitute the values,

The french fries left = 68 - 13 × f

Therefore, the expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f.

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Samantha invested $1000 in an account that pays 5% interest
compounded annually. Assuming no deposits or withdrawals are
made, find how much money Samantha would have in the account 18
years after her initial investment. Round to the nearest tenth (if
necessary).

Answers

The amount of money Samantha would have in the account 18 years after her initial investment is $2406.61

The principal amount = $1000

The interest rate = 5%

Time period = 18 years

The interest is compounded annually

The compound interest

A = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Where A is the final amount

P is the principal amount

r is the interest rate

t is the time period

n is the number of times the interest applied

A = [tex]1000(1+0.05)^{18}[/tex]

A = 1000 × 2.40661

Multiply the terms

A = $2406.61

Hence, the amount of money Samantha would have in the account 18 years after her initial investment is $2406.61

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One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a large
Amount of pink paint using 14 cups of red paint.

1. How many batches of pink paint did she make?
2. How many cups of white paint did she use?

Answers

Answer:

Mai made 7 batches of pink paint.

Mai used 49 cups of white paint.

Step-by-step explanation:

Part 1. Every 2 cups of red paint are 1 batch of pink paint. This means to find the number of batches of pink paint Mai made, we need to divide 14/2. 14/2 = 7. This means she made 7 batches of pink paint.

Part 2. For every 2 cups of red paint, there are 7 cups of white paint.

For every 1 cup of red paint, there are 3.5 cups of white paint.

This means that we need to multiply 14 x 3.5.

14 x 3.5 = 49.

This means she used 49 cups of white paint.

Find a polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Answers

Step-by-step explanation:

a polynomial of degree 4 must have 4 zeroes.

when we know these zeroes, we can define the polynomial by the factors defining these zeroes.

after all, a multiplication of several factors can only be zero, if at least one of the factors is zero.

we have 3 zeroes at x = -1. and 1 zero at x = 0.

so,

f(x) = (x + 1)(x + 1)(x + 1)x

you see ? this will only be zero, if x = -1 or x = 0. and -1 is built in as zero 3 times.

let's do the multiplications :

(x + 1)(x + 1) = x² + 2x + 1

(x + 1)x = x² + x

(x² + 2x + 1)(x² + x) = x⁴ + x³ + 2x³ + 2x² + x² + x =

= x⁴ + 3x³ + 3x² + x

f(x) = 1x⁴ + 3x³ + 3x² + 1x

programing problem :
Scenario: The county tax office calculates the annual taxes on property using the following formula:

Property tax = property value × 0.0065

Every day, a clerk in the tax office gets a list of properties and must calculate the tax for each property on the
list. You have been asked to design a program that the clerk can use to perform these calculations.
In your interview with the tax clerk, you learn that each property is assigned a lot number, and all lot numbers
are 1 or greater. You decide to write a loop (while) that uses the number 0 as a sentinel value. During each
loop iteration, the program will ask the clerk to enter either a property’s lot number, or 0 to end.

Answers

The program to illustrate the information will be:

This function gets the value of the property from the user,

# calculates the tax, then displays the value of the tax

def show_tax():

# getting the value of the property from the user

property_value = float(input("Enter the property value: "))

# calculating the tax

property_tax = property_value * 0.0065

# displaying the value of the tax

print("Property tax: $ {0:.2f}".format(property_tax))

How to illustrate the information?

This program will receive the lot number from the user, while the lot number does not equal 0, then it gets the value of the property from the user, calculates the tax, then displays the value of the tax

The main() function will receive the lot number from the user,

# while the lot number does not equal 0,

# call the show_tax() function then ask for the next lot number.

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Suppose the probability that it will rain is 3 over 10.

What is the probability that it will not rain?
What are the odds in favor of rain occurring?

Answers

Answer: the probability that it will not rain is 70% (you might need to do 7/10)

the odds in favor of the rain occuring is 30% (again, you might need to do 3/10)

Step-by-step explanation:

since the probability that it will rain is 3/10, there is only 7/10 left, so it is more likely to not rain than to rain.

Since it will rain 3/10 times, it is 30% for the second problem

Give me brainliest please!

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If .x machines are made, then the unit cost is given by the function C (x)=0.5x²-320x+68,684. What is the minimum unit cost?
Do not round your answer.

Answers

According to the concept of quadratic equation, the minimum cost for the x ray machine is $17, 484

Quadratic equation:

Basically, the polynomial equation with highest degree of two is called a quadratic equation.

The general equation is given by ax² + bx + c = 0, where a ≠ 0.

Given,

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If .x machines are made, then the unit cost is given by the function C (x)=0.5x²-320x+68,684.

Here we need to find the minimum unit cost.

Here we know that the standard form of a quadratic is given by:

=> ax² + bx + c

From this function, we have to calculate the value of x as,

=> x = -b/ 2a

While we compare the standard form with the given function,

=> C (x)=0.5x²-320x+68,684.

Then we get the value of

=> a = 0.5

=> b = -320

=> c = 68,684

So, the value of x is calculated as,

=> x = -(-320) / 2(0.5)

=> x = 320 / 1

=> x = 1

Now, we have to plug this value into original function would give us the minimum (unit cost):

=> C(320) = 0.5(320)²- 320 (320) + 68,684.

=> C(320) = 0.5(102400) - 102400 + 68, 684

=> C(320) = 51200 - 102400 + 68684

=> C(320) = 17, 484

Therefore, the minimum unit cost is $17, 484

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What equation that line passes through the point P(1/3,4) and has no slope.

Answers

The equation of the line that passes through the point P(1/3,4) and has no slope is y = 4.

According to the question,

We have the following information:

Point through which line is passing = (1/3,4)

Slope of the line = 0

We know that the following formula is used to find the equation of the line passing through a point:

y-y' = m(x-x')

We have x' = 1/3 and y' = 4.

y-4 = 0(x-1/3)

y-4 = 0

Adding 4 on both sides of the equation:

y = 4

Hence, the equation of the line that passes through the point P(1/3,4) and has no slope is y = 4.

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what is the ancer to 50+50

Answers

Answer: 100 is the ancer m

Step-by-step explanation: my man

Ted is a freshman attending a 4-year college. He has been approved for an $8,000 subsidized federal loan at 4.29% for 10 years. How much will the U.S. Department of
Education subsidize in interest costs during his 4.5-year non-payment period?

Answers

Answer:

  $1544.40

Step-by-step explanation:

You want to know the amount of interest cost subsidized by the Department of Education during the 4.5-year non-payment period on an $8000 subsidized federal loan at 4.29%.

Interest

The interest accrued on the loan amount is found by the simple interest formula:

  I = Prt

The principal is $8000, the rate is 4.29%, and the time period is the non-payment period, 4.5 years. The interest is ...

  I = $8000·0.0429·4.5 = $1544.40

The DoE will subsidize $1544.40 in interest during the non-payment period.

__

Additional comment

For the purpose of this problem, the 10-year period of the loan is irrelevant, as we're only concerned with the 4.5 year period before repayment starts. Because the loan is subsidized, that interest is never "capitalized" and is not due to be repaid by the borrower.

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Mar. 1) Egert invested $159,000 cash along with $22,300 in office equipment in the company.

Answers

The transactions of Egert's Company are entered in the general journal as follows:

General Journal

Date      Account Titles          Debit       Credit

Mar. 1 Cash                         $159,00

Office Equipment              $22,300

Common stock                                   $181,300

Mar. 2 Prepaid Rent           $1,200

Cash                                                      $1,200

Mar. 3 Office equipment $3,300

Office supplies                 $1,580

Accounts Payable                              $4,880

Mar. 6 Cash                     $4,300

Service Revenue                               $4,300

Mar. 9 Accounts Receivable $7,800

Service Revenue                              $7,800

Mar. 12 Accounts Payable $4,800

Cash                                                 $4,800

Mar. 19 Prepaid Insurance $5,300

Cash                                                 $5,300

Mar. 22 Cash                     $4,700

Accounts Receivable                     $4,700

Mar. 25 Accounts Receivable $4,200

Service Revenue                          $4,200

Mar. 29 Dividends          $5,400

Cash                                             $5,400

Mar. 30 Office supplies    $900

Accounts Payable                         $900

Mar. 31 Utility expenses  $800

Cash                                               $800

What is the general journal?

The general journal is the first accounting record of a business transaction.

The general journal identifies the accounts involved in each transaction, specifying which will be debited or credited in the general ledger.

Transaction Analysis:

Mar. 1 Cash $159,00 Office Equipment $22,300 Common stock $181,300

Mar. 2 Prepaid Rent $1,200 Cash $1,200

Mar. 3 Office equipment $3,300 Office supplies $1,580 Accounts Payable $4,880

Mar. 6 Cash $4,300 Service Revenue $4,300

Mar. 9 Accounts Receivable $7,800 Service Revenue $7,800

Mar. 12 Accounts Payable $4,800 Cash $4,800

Mar. 19 Prepaid Insurance $5,300 Cash $5,300

Mar. 22 Cash $4,700 Accounts Receivable $4,700

Mar. 25 Accounts Receivable $4,200 Service Revenue $4,200

Mar. 29 Dividends $5,400 Cash $5,400

Mar. 30 Office supplies $900 Accounts Payable $900

Mar. 31 Utility expenses $800 Cash $800

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Question Completion:

1 Egert invested $159,00 cash along with $22,300 in office equipment in the company in exchange for common stock. 2 The company prepaid $1,200 cash for six months' rent for an office. The company's policy is to record prepaid expenses in balance sheet accounts. 3 The company made credit purchases of office equipment for $3,300 and office supplies for $1,580. Payment is due within 10 days. 6 The company completed services for a client and immediately received $4,300 cash. 9 The company completed a 7,800 project for a client, who must pay within 30 days. Mar. 12 The company paid $4,800 cash to settle the account payable created on March 3. Mar. 19 The company paid $5,300 cash for the premium on a 12-month insurance policy. The company's policy is to record prepaid expenses in balance sheet accounts. Mar. 22 The company received $4,700 cash as partial payment for the work completed on March 9. Mar. 25 The company completed work for another client for $4,200 on credit. Mar. 29 The company paid $5,400 cash in dividends. Mar. 30 The company purchased $900 of additional office supplies on credit. Mar. 31 The company paid $800 cash for this month's utility bill.

Enter the transactions in the general journal.

Question 3(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
Determine which set of side measurements could be used to form a right triangle.
O4, 8, 11
O6, 8, 13
O√3, √5, 8
O√3, √13, 4

PLEASE HELP WILL GIVE BRAINLIST

Answers

Answer:

ok i got you its two;)

Step-by-step explanation:

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