Which shapes have teo pairs of parallel side choose all that apply

Answer:

45%

Step-by-step explanation:

Divide $360,000 by $800,000 to find the percentage

360,000/800,000=.45

To conver the decimal to a percentage, move the decimal point two places to the right, so .45 becomes 45%

Answer:

its d

Step-by-step explanation:

The coefficients a, b, and c in the 12th term of the expanded form are 312, 64, and 11, respectively.

The 12th term is 312(64x^3)(y^11) or 19968x^3y^11.

We would use the binomial theorem formula

Σ [n! / (k!(n - k)!) * a^(n - k) * b^k] for k = 0 to n.

For our calculation, we have affirmed that n equals 14 whereas a and b are equivalent to 4x and y respectively.

Our objective parameter is set to the twelfth term where k holds the value of 11 (as k begins counting from zero).

Thus substituting these values in the binomial equation, it follows:

(4x + y)^14 = Σ [14! / (k!(14 - k)!) * (4x)^(14 - k) * y^k] from k= 0 to 14.

From this derivation, the number we had sought becomes calculable by assigning value k equals 11:

Term_12 = 14! / (11!(14 - 11)!) * (4x)^(14 - 11) * y^11.

The above simplifies after that further leading to:

Term_12 = 14!/(11! × 3!) × (4x)^3×y^11\

Term_12=(14 × 13 × 12)/(3 × 2 × 1) × (4x)^3 × y^11

which leads to, after computation:

Term_12= 2 ×13 × 12×64x^3y^11

Immediately from our results, the constant values a, b, and c have become clear:

a = 2 × 13 × 12 which reduces to 312

b = 64

c = 11

Thus note that for term 12: 'a' is equal to 312; 'b' is represented by 64 while 'c' stands for 11.

Simplification of this value would lead to expressing the twelfth term as 19968 x^3 y^11.

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Given the expression (4x + y)^14, find the coefficients a, b, and c in the 12th term of the expanded form

Answer:

z = 4 , y = 6 , 4 and 13

Step-by-step explanation:

1

8z - 15 = 17 ( add 15 to both sides )

8z = 32 ( divide both sides by 8 )

z = 4

2

22 = 4y - 2 ( add 2 to both sides )

24 = 4y ( divide both sides by 4 )

6 = y

3

3(- 7) + 25 = - 21 + 25 = 4

4

16 - 6 ÷ 2 ← perform division before subtraction

= 16 - 3

= 13

For the middle par, using the answers associated to the colours

13 + (6 ÷ 4) - 4

= 13 + 1.5 - 4

= 14.5 - 5

= 10.5

Answer: 9 and 2/3

Step-by-step explanation:

The volume of the packing material that luke will need is: 11 cubic feet

The formula for the volume of a box is expressed as:

V = length * width * height

Now, we are given:

Area of base = 15 square feet

height = 3 feet

Thus:

Volume of box = 15 * 3 = 45 cubic feet

If he is going to ship a toy that is 34 cubic feet, then it means that:

Volume of packing material Luke needs = 45 - 34 = 11 cubic feet

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

The area of the square given in the diagram is: 25 square units.

Pythagoras Theorem is defined as the way in which we find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Using Pythagoras theorem, we can find the length of a side of the square:

AB = √(3² + 4²)

AB = √(9 + 16)

AB = √25

AB = 5

Area of a square is given by the formula:

A = side * side

Thus:

A = 5 * 5

A = 25

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Applying the formula for the area of triangle using sine, we have:

sin A = 1/3 (A ≈ 19.5°).

Given that a triangle has the following parameters:

Area of triangle ABC = 21 square units

Side b = 14 units

Side c = 9 units

Thus, applying the area of a triangle using the sine rule, we have the following formula:

Area = 1/2 * b * c * sin A

Plug in the values:

21 = 1/2 * 14 * 9 * sin A

2 * 21 = 126 * sin A

42 = 126 * sin A

42/126 = sin A

sin A = 1/3

A = sin^(-1)(1/3)

A ≈ 19.5°

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The length of AB in the right triangle is 8 units.

The sides of a right angle triangle can be found as follows:

The right angle triangle has one of its angles as 30 degrees. The side AB can be found using trigonometric ratios.

Hence,

sin 30 = opposite / hypotenuse

where

opposite side = AB

hypotenuse side = 16 units

Therefore,

sin 30 = AB / 16

cross multiply

AB = 16 sin 30

AB = 16 × 0.5

AB = 8 units

Therefore,

AB = 8 units

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The probability that Tom will choose a red marble from the bag is 1/9.

Given that,

Tom is choosing at random from a bag of colored marbles.

Odds in favor = number of success : number of failures

Odds of getting a red marble = 1 : 8

This means that there ratio of red marbles to other marbles = 1 : 8

Number of red marbles = 1

Total number of marbles = 1 + 8 = 9

Probability of choosing a red marble = 1/9

Hence the required probability is 1/9.

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The percentage error for each of the given situations are:

1) 23%

2) 21%

3) 11%

4) 16.67%

5) 43%

The formula for percent error is:

Percentage Error = ((Actual Number – Estimated Number)/ Estimated number) * 100%

1) Estimated Number = 2310

Actual Number = 3000

Thus:

Percent Error = (3000 - 2310)/3000 * 100%

Percent error = 23%

2) Estimated Number = 17600

Actual Number = 21300

Thus:

Percent Error = (21300 - 17600)/17600 * 100%

= 21%

3) Estimated Number = 4.5

Actual Number = 4

Thus:

Percent Error = (4 - 4.5)/4.5 * 100%

= 11%

4) Estimated Number = 15000

Actual Number = 12500

Thus:

Percent Error = (12500 - 15000)/15000 * 100%

= 16.67%

5) Estimated Number = 350

Actual Number = 200

Thus:

Percent Error = (200 - 350)/350 * 100%

= 43%

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The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer:

Step-by-step explanation:

You want to compare the future values of two accounts after 10, 20, 50, and 85 years:

The formula for account value with compounding monthly is ...

  A = P(1 +r/12)^(12t) . . . . . . principal P invested at rate r for t years

  A = 4500(1 +0.075/12)^(12·t) . . . . . using given values for P and r

The first line of calculator output shown in the attachment gives the value after 10, 20, 50, and 85 years.

The formula for account value with continuous compounding is ...

  A = P·e^(rt)

  A = 5500·e^(0.0675t) . . . . . using given values for P and r

The second line of calculator output shown in the attachment gives the value after 10, 20, 50, and 85 years.

You will notice this (second) account has higher value up to 20 years, then lower value after that.

The account with the higher interest rate will make more money after the "break-even" period of about 20.6 years.

__

Additional comment

We have rounded the account values to the nearest dollar. For the purpose of value comparison, three significant figures would be sufficient.

The second attachment shows the different account values over the long term. You can see the higher interest rate really makes a difference.

The third attachment shows the shorter-term account values, and the "break-even" time period of about 20.6 years, when the values in both accounts are about $22,063.

Answer:

To find the derivative of the given function, we will use the product rule and the chain rule of differentiation.

Let u = 4x² and v = (5-7x)^8. Then, we have:

y = u * v

Using the product rule, we have:

y' = u' * v + u * v'

To find u' and v', we use the power rule and the chain rule:

u' = d/dx (4x²) = 8x

v' = d/dx (5-7x)^8 = 8(5-7x)^7 * (-7)

Now, we can substitute these values into the product rule formula:

y' = u' * v + u * v'

= 8x * (5-7x)^8 + 4x² * 8(5-7x)^7 * (-7)

Simplifying this expression, we get:

y' = 8x(5-7x)^7 * (40-56x-28x+49x)

= 8x(5-7x)^7 * (-14x+40)

Therefore, the derivative of the function y = 4x² (5-7x)^8 is y' = 8x(5-7x)^7 * (-14x+40).

Answer:

  $264

Step-by-step explanation:

You want to know Jenny's annual finance charges if her credit card balance averages $1100 and her interest rate is 24%.

The annual interest charge will be the product of the annual interest rate and the average balance over the course of the year.

  24% × $1100 = $264

Jenny spends about $264 per year on credit card interest.

The measure of angle θ is 45 degrees.

The measure of angle θ is calculated by applying trigonometry ratio as follows;

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

The height and the adjacent side is given, so the value of θ is calculated as follows;

tan θ = (206 - 7 ) / (199)

tan θ = 1

θ = arc tan (1)

θ = 45⁰

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Answer:

Step-by-step explanation:

Yes, the student is correct. To write a percent as a fraction, we can write the number before the percent symbol as the numerator and 100 as the denominator. For example, 25% can be written as 25/100, which can be simplified to 1/4. This is because percent means "per hundred," so 25% means 25 per hundred, which can be expressed as a fraction with a denominator of 100.

Given Universal Corp. stock information:

The cost of a business share known as the stock price is the current market worth of a portion of possession in a publicly- traded firm. When a business goes public, it issues stocks which are able to be purchased and exchanged on a stock exchange like the New York Stock Exchange or Nasdaq.

The submission and demand for shares of a company sets the worth of its stock, and can be affected by several elements, involving the organization's financial achievement, broadcasts and occasions regarding the business or the trade, and broader market swings.

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The volume of the cone is  37.70 cm³.

The volume of the cone is calculated as follows;

V = ¹/₃πr²h

where;

The radius of the cone is calculated by applying the following formula;

r = √ (5² - 4²)

r = 3 cm

The volume of the cone is calculated as;

V = ¹/₃πr²h

V = ¹/₃π(3)²(4)

V = 37.7 cm³

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The length of the shorter side of the room is 3.2 inches

From the question, we have the following parameters that can be used in our computation:

A rectangular room is 28 feet by 32 feet.

So, the perimeter is

P = 2 * (28 + 32)

Evaluate

P = 120

So, the scale factor from the room to the drawing is

Scale factor = 12/120 i.e. division of perimeters

So, we have

Scale factor = 1/10

The small length of the room is 32 feet

So, we have

Smaller length = 1/10 * 32

Smaller length = 3.2 inches

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Tom is installing 6 windows each day and Suzanne is installing 6 windows each day as well.

To find the number of days it takes for each homebuilder to install the windows, we need to solve for x in each equation.

Tom's equation: 42 = 7x + 2

Subtracting 2 from both sides:

40 = 7x

Dividing both sides by 7:

x = 5.71 ≈ 6

So it will take Tom approximately 6 days to install the windows on his home.

Suzanne's equation: 37 = 6x + 5

Subtracting 5 from both sides:

32 = 6x

Dividing both sides by 6:

x = 5.33 ≈ 6.

So it will take Suzanne approximately 6 days to install the windows on her home.

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Answer:

The probability of getting a sum of 5 or 8 when 2 dice are rolled once is 1/4.

Step-by-step explanation:

Your welcome ;)

When graphing an equation on graph paper I have to have all of these but: B. work shown.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics and Geometry, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

In conclusion, you do not need to have your algebraic work shown when graphing an equation on graph paper.

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All three values (I, II, and III) are solutions to the inequality, so the correct answer is "I, II and III."

To solve the inequality -10 + 3x ≥ -4, we can follow these steps:

Add 10 to both sides of the inequality:

3x ≥ 6

Divide both sides by 3:

x ≥ 2

Now, let's check which of the given values satisfies the inequality:

I. 8:

x ≥ 2, and 8 ≥ 2, so 8 is a solution.

II. 2:

x ≥ 2, and 2 ≥ 2, so 2 is also a solution.

III. 6:

x ≥ 2, and 6 ≥ 2, so 6 is a solution as well.

All three quantities (I, II, and III) fulfill the requirements of the inequality; hence, the right you have to select is "I, II and III."

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The value of the expression is -4

A function can simply be explained as an equation, law, rule or expression that tends to show the relationship between two distinct variables.

These variables are called the independent variables and dependent variables.

From the information given, we have the function as;

y= 2x +3

First, let's determine the function y(-5)

Substitute the values of x as -5 in the function;

y(-5) = 2(-5) + 3

expand the bracket

y(-5) = -10 + 3

Add the values

y(-5) = -7

Then, we get;

y(-5)+ 3

-7 + 3

-4

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