Find the perimeter of the large triangle below

The total area of the two circles will be 168316.9 square feet.

The circle is defined as a two-dimensional figure having a fixed point and the number of the points is traced around the curved path at an equal distance from the fixed point. The overall figure is called a circle.

The area of the circle is calculated by the formula:-

Area = πr²

Given that the south side of the highway needed to be compacted in order to create two circles of various sizes for a specific four-leaf clover. The two circles on the north side of the road have a 128-foot radius, whereas the two on the south side have a 102-foot radius.

The total area will be calculated as:-

Area = 2 x π x 128² + 2 x π x 102²

Area = 102943.25 + 65370.25

Area = 168316.9 square feet

Hence, the total area will be 168316.9 square feet.

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The simplification of the given expression would be = 210

A fraction is defined as the expression of part of a whole value in the form of a denominator and a numerator.

The above statement can be expressed above mathematically as follows:

= 7/8 × 16 × 1/2× 30

= 3360/16

= 210

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The equation of the polynomial is P(x) = -4(x + 1)(x - 1)(x - 2)^2

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

The graph

On the graph, we have the following readings:

A polynomial is represented as

P(x) = a * (x - zero)^multiplicity

Using the above as a guide, we have the following:

P(x) = a * (x + 1)(x - 1)(x - 2)^2

The y-intercept is -12

So, we have

a * (0 + 1)(0 - 1)(0 - 2)^2 = -12

This gives

a = -4

Hence, the expression is P(x) = -4(x + 1)(x - 1)(x - 2)^2

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Answer:

Step-by-step explanation:

Since the polynomial has a root of multiplicity 2 at x = 3, it can be written as (x - 3)^2 times another polynomial Q(x). Also, since it has roots of multiplicity 1 at x = 0 and x = -4, it can be written as (x - 3)^2 * (x - 0) * (x + 4) * Q(x).

Next, we can use the fact that the polynomial goes through the point (5, 144) to find the formula for Q(x). The polynomial P(x) must satisfy P(5) = 144, so we can write:

(5 - 3)^2 * (5 - 0) * (5 + 4) * Q(5) = 144

4 * 9 * 9 * Q(5) = 144

36 * Q(5) = 144

Q(5) = 4

So, the polynomial P(x) can be written as:

P(x) = (x - 3)^2 * (x - 0) * (x + 4) * 4

  = 4 * (x - 3)^2 * (x - 0) * (x + 4)

  = 4 * (x^2 - 6x + 9) * x * (x + 4)

  = 4x^4 - 84x^3 + 378x^2 - 648x + 576

This is the formula for P(x).

Answer: The shape of the supply curve for tickets to football games at the stadium with 70,000 seats is upward-sloping. This means that as the price of tickets increases, the quantity of tickets supplied also increases.

The reasoning behind this is simple: when the price of tickets is high, there is more incentive for the sellers (e.g. the stadium, ticket resellers, etc.) to sell more tickets. They have the ability to supply more tickets as the demand for tickets at the high price is likely to be higher, thus increasing their profits.

However, it is important to note that the upward slope of the supply curve is not necessarily linear. The supply curve for tickets to football games is likely to be more elastic in the higher price range, meaning that as the price continues to increase, the quantity supplied may increase at a slower rate. This is because at some point, even if the price continues to rise, there will be a limit to how many tickets can actually be sold due to a decrease in demand.

Overall, the upward-sloping shape of the supply curve for tickets to football games at the stadium with 70,000 seats reflects the basic principle of supply and demand: as the price increases, the quantity supplied will also increase, but at some point, the increase in price will lead to a decrease in demand, limiting the quantity supplied.

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

You want the difference between horizontal shrink and vertical stretch.

A horizontal shrink compresses a graph horizontally. In the attached figure, the original graph is the red circle. The blue ellipse is that circle shrunk horizontally by a factor of 3. It retains the same height, but is compressed sideways.

A vertical stretch expands the graph vertically. The green ellipse in the attached figure is the original circle stretched vertically by a factor of 3. The horizontal dimension remains unchanged.

You will notice that replacing a variable x by x/k effectively accomplishes a stretch by a factor of k in that variable's direction. Similarly, replacing a variable x by kx accomplishes a compression by a factor of k.

Your question suggests that you have noticed the similarities between vertical stretch and horizontal compression. For some figures, there is basically no difference.

Here are a couple of examples of that:

  line y = x. Vertical stretch by 2: y/2 = x, or y = 2x. Horizontal compression by 2: y = 2x. These equations are identical.

  parabola y = x². Vertical stretch by 4: y/4 = x² or y = 4x². Horizontal compression by 2: y = (2x)² = 4x². These equations are identical.

The differences between stretch in one direction and compression in the other direction are more apparent for figures with multiple reversals of direction. The second attachment shows the sine function (red) vertically stretched (blue) and horizontally compressed (green).

Answer:

<1 and <2

Step-by-step explanation:

Adjacent means angles that are next to each other.  This is not the only pair, but <1 and <2  are adjacent.

The value of the variable y is 3

From the information given, we have that;

ACDF∼VWYZ

Given that the lengths are;

Since the diagrams are equivalent, then,

A/VZ = CD/YW

substitute the values, we have;

12/3y - 1 = 9/6

cross multiply

3y - 1 = 12(6)/9

divide the values

3y - 1 = 8

collect like terms

3y = 9

Make 'y' the subject

y =3

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Answer:

(a) The odds in favor of Martina winning a medium stuffed animal is 1/12, as there is only 1 medium balloon on the board out of the total of 12 balloons.

(b) The odds against Martina winning a medium stuffed animal is 11/12, as there are 11 balloons on the board that are not medium out of the total of 12 balloons.

Answer:

(a) The odds in favor of Martina winning a medium stuffed animal is 1/12, as there is only 1 medium balloon on the board out of the total of 12 balloons.

(b) The odds against Martina winning a medium stuffed animal is 11/12, as there are 11 balloons on the board that are not medium out of the total of 12 balloons.

The table to represents the total cost for the different numbers of books ordered is:

Number of books     Spending     Total cost

1                                     $41            $44

2                                    $65           $71

3                                    $125          $134

An expression is written with one or more terms with addition, subtraction, multiplication, and division.

Example:

2.2 + 3x + 4y = 7 is an expression.

3 + 5x = 9 is an expression.

We have,

The book cost = $3

Now,

Spendings = $41, $65, or $125

Now,

Table:

Number of books     Spending     Total cost

1                                     $41            41 + 3 = $44

2                                    $65           65 + 6 = $71

3                                    $125          125 + 9 = $134

Thus,

The table for the total cost is given above.

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Answer:

  0.255 or 25.5%

Step-by-step explanation:

You want the scale factor that reduces 5.1 inches to 1.3 inches.

The scale factor is the ratio of the image size to the original size:

  1.3/5.1 ≈ 0.254902 ≈ 0.255 = 25.5%

__

Additional comment

A scale factor of 0.255 would give an image of 1.3005 inches. That's probably close enough. Rounding to the nearest percent, it would be 25%, which would give an image size of 1.275 inches.

Answer:

x+1/x

Step-by-step explanation:

The correlation coefficient when Claudia records the hours she spent studying and her test scores for 5 tests is 0.85. This is a strong positive correlation.

Any statistical association between two random variables or bivariate data, whether causal or not, is referred to as dependence or correlation.

Two variables that move together, or in the same direction, are said to have a positive correlation. When one variable rises while the other rises or when one variable falls while the other falls, there is a positive correlation. Theoretically, the same external forces can affect both of these separate variables because they travel in the same direction.

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Claudia records the hours she spent studying and her test scores for 5 tests.

What is the correlation coefficient?

-0.85-0.840.840.85

What is the strength of the model?

OD) Is simple non-randon sampling

Step-by-step explanation:

because Claudia randomly choose a sample from each group.

Answer:

Step-by-step explanation:

The international company has 21,800 employees in one country, which represents 32.2% of the company's total employees. We can use this information to find the total number of employees by solving for the missing value.

Let's call the total number of employees in the company "X".

If the 21,800 employees in one country represent 32.2% of the total employees, we can write an equation to represent this relationship:

0.322 * X = 21,800

Next, we'll isolate X by dividing both sides of the equation by 0.322:

X = 21,800 / 0.322

Using a calculator, we can find that:

X = 68,062.5

Rounding to the nearest whole number, the company has 68,063 employees in total.

So, that's how you can use a percentage to find the total number of employees in the company. By knowing the number of employees in one country and the percentage that this represents of the total, we can find the total number of employees in the company.

Jade and Juliette 44.7days  more days to complete their trip.

To calculate how many more days Jade and Juliette need to ride, we can use the equation:

Total distance = Distance on first day + Distance on second day + Distance on remaining days

We know the first and second day distances, and the daily distance for the remaining days, so we can substitute those values in the equation:

2878 = 45.4 + 56.3 + 62x

where x is the number of remaining days they need to ride.

Simplifying the equation:

2878 - 101.7 = 62x

2776.3 = 62x

Dividing both sides of the equation by 62

x = 44.7

hence, Jade and Juliette need to ride for 44.7 more days to complete their trip.

Another form of representing the cost of the book is (75/100)×D.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know, Percentages and decimals are related.

10% in decimal form is equivalent to (10/100) - 0.1 in decimal.

An expression that represents the sale day book price is 0.75D.

Another expression that would represent the cost of the book priced 'D' would be,

= (75/100)×D.

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Answer:

= 60°

Step-by-step explanation:

Exterior angle =

[tex] = \frac{360}{n} [/tex]

[tex] = \frac{360}{6} \\ = {60}^{o} [/tex]

= 60°

Answer:

Below

Step-by-step explanation:

5000   *   2.4 x 10^-6  =

12 000 x 10^-6  g

= .012 g

Let's call the tens digit "x" and the units digit "y". We know that the number is a multiple of 9, so:

x + y = 9

and the ratio of the units digit to the tens digit is 1:2, so:

y = 2x

Substituting the second equation into the first, we get:

x + 2x = 9

3x = 9

x = 3

So the tens digit is 3 and the units digit is 2 times that, or 6. The number is 36.

Answer:

63

Step-by-step explanation:

___________________

First, let's list all the 2-digit multiples of "9":

______________________________________________________

18, 27, 36, 45, 54, 63, 72, 81, 90, 99.

______________________________________________________

From this list, the only answer that has a ratio in which its "units digits to its tens digits" is "1:2" is: "63" . "3:6" = "1:2" .

Answer:

6.25 x h = 50.000

Step-by-step explanation:

Answer:

8 headbands.

Step-by-step explanation:

Winnie needs to sell AT LEAST 8 headbands. 50 divided by 6.25 is 8. Remember that the phrase "at least" is represented by a greater-than-or-equal-to symbol.

Answer:

Both of them are correct.

Step-by-step explanation:

Let's review both of their methods and check their validity.

This method is the most straight forward and seems to be correct as we're simply calculating the total value of each, and then subtracting the difference. We can write the expression as: [tex]2.25(4.25)-2.25(2.85)[/tex] and this should give us the difference assuming the prices and math is done correctly.

While this method is a bit difference, it actually does work! Think of this way, we first calculate the difference in the prices and then for each pound we increase it by, the difference also increases by this amount. It also helps to look at our original expression: [tex]2.25(4.25)-2.25(2.85)[/tex], notice how we have a factor of 2.25 on both sides? Well we can just factor that out to get: [tex]2.25(4.25 - 2.85)[/tex] and this is essentially what Ariel's method is. This should give us the difference in prices and is likely easier than Kaylee's method as we do less multiplication and with smaller numbers.

a. Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit.

b. Apparent power is the power is the total power delivered to an AC electrical circuit

c. True power is the power lost in a resistive load in an AC electrical circuit.

Power is the rate at which work is done.

Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit. The reactive power is given by

P' = IVsinФ where

Apparent power is the power is the total power delivered to an AC electrical circuit. The apparent power is given by

S = IV where

True power is the power lost in a resistive load in an AC electrical circuit. The true power is given by

P' = IVcosФ where

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Answer:

no solution

Step-by-step explanation:

- (3x + 1) + 7 = 4 - (3x + 2) ← distribute parenthesis on both sides

- 3x - 3 + 7 = 4 - 3x - 2

- 3x + 4 = 2 - 3x ( subtract 4 from both sides )

- 3x = - 2 - 3x ( add 3x to both sides )

0 = - 2 ← false statement

this false statement indicates the equation has no solution

-(3x+1)+7=4-(3x + 2)

-3x-1+7=4-3x-2

-3x+6=-3x+2

-3x+3x=-4

0=-4

no solution

Value of system after 'x' years = [tex]3000*(0.85)^x[/tex]

The value of the computer after 3 years is $1842.375

The formula for an exponential function is f(x) =[tex]a^x[/tex], where 'x' is variable and 'a' is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given that, computer system values at $3000 decrease at a rate of 15% each year.

If the value decreases by 15%, it means that the new value is 85% of the old value.

new value = old value * (85/100)

new value = old value * 0.85

value in 1st year = $3000

value after 1st year = $3000 * 0.85

value after 2nd year = $3000 * 0.85 * 0.85

value after nth year = $3000 * [tex]0.85^n[/tex]

Value of the system after 3 years = $3000 * [tex]0.85^3[/tex]

= $3000 * 0.614125

= $1842.375

Therefore, The value of the computer system after 3 years  is $1842.375

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Answer:

The solution to the inequality x < -2 is all real numbers that are less than -2. This means that any number that is less than -2 will satisfy the inequality, but any number that is greater than or equal to -2 will not.

So, the solution set for x < -2 is all real numbers that are less than -2. This solution set can be expressed as (-∞, -2).

Therefore, the values that are solutions to the inequality x < -2 are:

• all real numbers less than -2, such as -3, -4, -5, etc.

Note that -2 itself is not part of the solution set, since it is not less than -2.

Answer:

9

Step-by-step explanation:

divide 27 by 3

It equals 9

9 x 2 = 18 boys

27-18= 9 girls

The properties of the polynomial are

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

The graph

On the graph, we have the following readings:

Using the above as a guide, we have the following:

Degree = sum of multiplicities

Degree = 1 + 1 + 2 + 1

Degree = 5

The leading coefficient is negative

This is so because the graph opens down

There are 3 zeros with odd multiplicities and 1 zero with even multiplicity

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The number as decimal is 26583.0

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

Number = 26583

Also, we have the required value of 5 to be

Required = 100

Using the above as a guide, we have the following:

The number 5 must have a value of 100 in the new number i.e. 500

So, we have

Number = 26583

Rewrite as

Number = 26500 + 83

This means that we add 5 at the end

So, we have

Number = 26583.0

Hence, the new number is  26583.0

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