PLEASE HELP ASAP! 2 QUESTIONS


The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 80.4° is added to the data, how does the range change?



The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 60° is added to the data, how does the median change?

Answers

Answer 1

If a value of 80.4° is added to the data, the range does not change.

The range is 48.

If a value of 60° is added to the data, the median change.

The median was 79.5.

The change median is 77.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

The range formula = Highest value - Lowest value

Now,

Highest value = 105

Lowest value = 57

Range = 105 - 57 = 48.

Now,

If the value of 80.4 is added the range remains the same because the range is dependent only on the value of the highest and the lowest value.

We have,

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

The median is the mid value of the given set of data after arranging in ascending order.

Arranging the set in ascending order.

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

There are 12 elements in the set.

Median = (77 + 82) / 2 = 79.5

If 60 is added we get 13 elements in the set.

The arrangement becomes,

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Median = 77

Thus,

If a value of 80.4° is added to the data, the range does not change.

The range is 48.

If a value of 60° is added to the data, the median change.

The median was 79.5.

The change median is 77.

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Related Questions

the question in the picture please help

Answers

The measures, using the binomial distribution, are given as follows:

a) Probability that exactly six arrive within two days: 0.735 = 73.5%.

b) Probability that exactly five arrive within two days: 0.232 = 23.2%.

c) Mean: 5.7 letters.

d) Variance: 0.285 letters².

e) Standard deviation: 0.534 letters.

What is the binomial distribution formula?

The mass function, formula for the probability of x successes, is defined as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the mass function are listed as follows:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

Hence, in the context of this problem, the values of these parameters are given as follows:

n = 6, p = 0.95.

The probability that all six arrive within two days is of:

P(X = 6) = 0.95^6 = 0.735 = 73.5%.

The probability that five arrive within two days is:

P(X = 5) = 6 x 0.95^5 x 0.05 = 0.232 = 23.2%.

The statistical measures are calculated as follows:

Mean: E(X) = np = 6 x 0.95 = 5.7 letters.Variance: V(X) = np(1 - p) = 6 x 0.95 x 0.05 = 0.285 letters².Standard deviation: S(X) = sqrt(V(X)) = sqrt(0.285) = 0.534 letters.

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In 1994, the moose population in a park was
measured to be 3280. By 1997, the
population was measured again to be 4120.
If the population continues to change
linearly:
Find a formula for the moose population, P,
in terms of t, the years since 1990.
P(t)
=
What does your model predict the moose
population to be in 2006?

Answers

To answer this question we will use The Linear Programming concept

The formula for the moose population is

The moose population in 2006 would be

We use the year 1990 as the base year for creating the equation of the moose population. We could assume that:

The moose population of the year: P(x)

The moose population in year 1990: a

The year difference to 1990: x

The linear change of the moose population: b

Hence, we could make some assumption about the relationship between each elements mentioned above, where the moose population of the year would be depends on the linear change of the population added into the original moose population in year 1990. We could write this relationship into the equation (i):

P(x) = a + bx ... (i)

Using data provided from the question, we could make some other equations and find the value of b:

P(x) = a + bx

P(4) = a + 4b = 3280 ---> year 1994 ... (ii)

P(7) = a + 7b = 4120 ---> year 1997 ... (iii)

We could do some eliminations between equations (ii) and (iii)

3280 = a + 4b

4120 = a + 7b -

840 = 3b

b = 280 ... (iv)

After finding the value of b, we could subtitute its value into equation (ii) to find the value of a:

3280 = a + 4b

3280 = a + 4(280)

3280 = a + 1120

a = 2160 ... (v)

After finding the value of a and b, we could rewrite the equation (i) by inserting the and b values.

P(x) = a + bx

P(x) = 2160 + 280x ... (vi)

Next, we will predict the moose population to be in 2006.

First, we should determine the value of x, the difference between the year 2006 to the base year 1990.

x = 2006 - 1990

x = 16 ... (vii)

We would subtitute the equation (vii) into equation (vi) to predict the moose population to be in 2006:

P(16) = 2160 + 280(16)

P(16) = 6640...(viii)

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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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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.

Marc deposits $1000 into a savings account. The account pays 4% simple Interest on an annual basis. Is he does not add or withdraw money from the account, how much interest will he earn after 9 montgs?

A. $10

B.$20

C$30

D.$40

Answers

Answer:

C

Step-by-step explanation:

1000*0.04 = 40

(9/12) * 40 = 30

I need to know how to do these problems!

Answers

The height of the triangle pictured in the question is 2 units.

According to the question,

We have the following information:

Area of triangle = 8

Base of triangle = 8

We know that the following formula is used to find the area of triangle:

Area of triangle = 1/2*base*height

Area of triangle = 1/2*8*height

8 = 4*height

Dividing by 4 on both the sides:

Height = 8/4

Height of the triangle = 2 units

(Note that every physical quantity has some units of measurements. For example, the unit of measurement of area is square units.)

Hence, the height of the triangle pictured in the question is 2 units.

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Factor -4 out of -8+20 expression

Answers

Answer: -3

Step-by-step explanation:

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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Determine whether the following probability is empirical or classical.
Virginia want to know how likely it is for her to win a backgammon game if she only needs to roll a double six to win.
A. Empirical
B. Classical

Answers

In this backgammon game, the probability used is Classical one.

Probability:

Probability refer the possible way of happening the particular event.

Given,

Virginia want to know how likely it is for her to win a backgammon game if she only needs to roll a double six to win.

Here we need to identify whether the given probability is empirical or classical.

In order to find the type of probability, first we have to know the definition of each of them.

So, classical probability means the the statistical concept that measures the likelihood (probability) of something happening where as the empirical probability means the  probability that is based on historical data.

Therefore, based on the definition, the given situation is purely based on the classical probability.

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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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What's 237 to the square root?

Answers

Answer:

heyyy

Step-by-step explanation:

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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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.

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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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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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!

which expression is equivalent to (2x3 +3x+7) / (x2 + x +10)

Answers

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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what is logarithm 4096^x=8

Answers

Answer:

Step-by-step explanation:

(4096)ˣ  = 8

log ₂ (4096)ˣ = log ₂ 8

x·log ₂ (4096) = log ₂ 8

x = log ₂ 8 / log ₂ (4096)

x = log ₂ 2³ / log ₂ 2¹²

x = 3 / 12

x = 1 / 4

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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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 :’)

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

what is the derivative of tan(cos(t)) with respect to t at t=pi/2

Answers

The derivative of tan(cos(t) with respect to t at t= (π/2) is 1.

What is differentiation?

The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.

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.

The given expression is tan(cos(t)). The derivation will be done as below,

[tex]\dfrac{d}{dx}tan(cos(t))=sec^2(cos(t)\dfrac{d}{dx}(cos(t)\\\dfrac{d}{dx}tan(cos(t))=-sin(t)sec^2(cos(t)\\\dfrac{d}{dx}tan(cos(t))=-sin(\dfrac{\pi}{2} )sec^2(cos\dfrac{\pi}{2})\\\\\dfrac{d}{dx}tan(cos(t))=sec^2(0)\\\dfrac{d}{dx}tan(cos(t))=1[/tex]

Therefore, the derivative of tan(cos(t) with respect to t at t= (π/2) is 1.

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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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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

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.

Write the polynomial in standard form, name it using the degree and number of terms, identify the constant and the leading coefficient:(3x-8)^2(2x+5)

Answers

Answer:

It is a binomial, so it is (ax+b)^2. In this case, a=3, b=-8, and there are 2 terms. The constant is 64 and the leading coefficient is 9.

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:

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.

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.

A regular polygon has 20 sides. If one of its angles measures (5h − 12)°, what is the value of h?

Answers

The value of h in the given polygon is 34.8°

What is a regular polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides or edges of a polygon are made of straight line segments connected end to end to form a closed shape. The point where two line segments meet is called vertex or corners, and subsequently, an angle is formed. If a polygon contains congruent sides, then that is called a regular polygon.

The sum of the interior angles of a regular polygon = (n - 2) x 180

where n = number of sides of the polygon

here n = 20

Sum of the interior angle = (20 - 2) x 180

Sum of the interior angle = 3240°

which also means that 20(5h - 12) = 3240

100h -240 = 3240

100h = 3240+240

100h = 3480

h = 3480/100

h = 34.8°

In conclusion, the value of h = 34.8°

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