The pentagons ABCDE and PQRST are similar.
Find the length x of TP.

Answer:

y = 1/3x + 7

Step-by-step explanation:

A line includes the points (9,10) and (6,9). What is its equation in point-slope form?

slope = change in rise/change in run

so:

slope = change in y/change in x

you are given two points in (x , y) format, points are: (9,10) and (6,9) [second in each pair are the y values]. Figure change in y and x:

y: 10 - 9 = 1

x: 9 - 6 = 3

so slope =y/x = 1/3

slope intercept form is: y = mx + b where m = slope. Substitute in value previously found for slope:

y = 1/3x + b

Now, you need to find y intercept, or b. Using one of the points given, we will use the first one (9,10), calculate for b:

y = 1/3x + b

10 = 1/3(9) + b

10 = 3 + b

subtract 3 from both sides:

10 - 3 = 3 + b - 3

b = 7

Put this into your equation: y = mx + b

y = 1/3x + 7

Answer: $19

Step-by-step explanation:

Since we want 30 copies, let x=30.

[tex]C(30)=0.15(30)+14.50=19[/tex]

For the given probability distribution, the missing value is 5/17.

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

For the given distribution,

Let the missing value be x

we know that sum of probabilities = 1

⇒ 0 + 0 + 7/17 + x + 5/17 = 1

⇒ 12 / 17 + x = 1

⇒ x = 1 - 12/17

⇒ x = 5 / 17

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Answer:

x = 5

Step-by-step explanation:

3 + x * 6 = 3 * 11

3 + 6x = 33

6x = 30

x = 5

She spends the cost of $0.46 if she purchases the items in the city where she lives.

The percentage is defined as a ratio expressed as a fraction of 100.

The given data  below as:

Cost of the shirt = $11.99

Cost of the shoes = $35.50

Cost of the belt = $6.75

Cost of the socks = $3.00

Total cost of the items = 11.99 + 35.50 + 6.75 + 3.00

Total cost of the items = $57.24

In the city she lives in, the sales tax rate is 7.15%.

Total cost of the items with tax of 7.15%

= 57.24 × 7.15/100 + 57.24 = 4.092 + 57.24 = $61.33

In another city, the sales tax rate is 6.35%

Total cost of the items with tax of 6.35%

= 57.24 × 6.35/100 + 57.24 = 3.633+ 57.24 = $60.87

Hence, she spends the cost of $0.46 if she purchases the items in the city where she lives.

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Answer: It is 10000 times larger

The inequality is x > -3

The second choice is the correct answer.

The measure of the given polygon's angle is 2340°

Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.

In an n-sided polygon, there are n inner angles.

The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.

the formula is ;

Sₙ = ( n - 2 ) 180°

Here in question n is given as 15

Thus Sₙ = ( n - 2 ) 180° becomes

Sₙ = ( 15 - 2) 180

13 × 180

= 2340 °

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Answer:

I'm pretty sure it's 1800!!

We will solve as follows:

*We have the equations:

&

We solve then for the second equation [Either for A or B], that is:

Now, we replace in the first equation and solve for B:

Now, we replace the value of B in the second equation:

So, the investor has 80 shares on stock A and 120 shares on stock B.

In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.

Answer: y will be replaced by the expression f(x).

The  dividends per share for preferred and common stock for each year is year 1 $20,000, $10,000; year 2 $30,000, $0 year 3 $30,000, $15,000.

Year 1

Preference Shares = Number of shares × Par value ×%

Preference Shares = 10,000 ×100 × 2%

Preference Shares = $20,000

Common Shareholders:

Common Shareholders = $20,000 - $10,000

Common Shareholders = $10,000

Year 2

Preference Shares = $30,000

Common Shareholders = $0

Year 3

Preference Shares = $20,000 + ($20,000 - $10,000)

Preference Shares = $20,000 + $10,000

Preference Shares = $30,000

Common Shareholders:

Common Shareholders = $45,000 - $30,000

Common Shareholders = $15,000

Therefore year 1 has the amount of $20,000 as preferred stock and $10,000 as common stock.

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Answer:

The total number of employees the company have is;

Explanation:

Given that an international company has 29,200 employees in one country.

If this represents 31.7% of the company's employees.

let n represent the total number of employees the company have;

Solving for n;

Therefore, the total number of employees the company have is;

Answer:

28

Step-by-step explanation:

To evaluate this expression, multiply the two numbers.

-7x-4=28

28 is not negative because a negative times a negative is positive.

Hope this helps! :D

The coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

Given are the vertices of a figure as → F(1, 2), G(3,5) and H(3, 2).

Since, it is not given in which direction the figure is rotated, we will consider it to be rotated in anti - clockwise direction about the origin. When we rotate a coordinate point by 180 degrees in counterclockwise direction about the origin, then the point A(x ,y) becomes A'(-x ,-y).

The new coordinates will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

Therefore, the coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

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Answer:

perimeter = 2(b x L)

p° 2(2+20)

= 22X2 =44cm

area = B x W

a = 20x 2 =40 cm²

- Tan²θ is the left side expression as the difference of two squares in trigonometric ratios.

What do trigonometric ratios represent?

(sec θ+1)(sec θ-1)= tan² θ

use ( a+ b ) ( a - b) = a² - b²

= 1² - sec²θ                                   { we know that 1 + tan²θ = sec²θ}

= 1 - sec²θ

= - tan²θ

     LHS = RHS

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Answer:here x=-4

Step-by-step explanation:

3(-4)-3=-15

Answer:

1)D and 2)A

Step-by-step explanation:

1) D

When you dived B by 4 on both sides , you get A

2) A

:]

The equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

The given expressions are 8(t+8) and 8t+8.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, 8(t+8)

Using distributive property a(b+c)=ab+ac, simplify 8(t+8)

That is, 8t+64

Take common factor in 8t+8 is 4(2t+2) and 8t+8=4t+8+4t

Therefore, the equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

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Answer:

Percent means parts per hundred.

Step-by-step explanation:

Percent comes from the Latin phrase per centum which means per hundred. The % symbol is used to represent percent.

Example: 54/100 is equal to 54%.

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The formula to calculate the time taken is given to be:

The total time taken is going to be the sum of the time taken to cross the river and the time taken to go from the point on the opposite bank to the toll gate.

The

Answer:

Explanation:

Here, we want to get the mean utilit bill over the period

Mathematically, that means we have to find the average of his utility bills in that period

To get this,we have to divide the sum of all these values by the count of these values (5)

Mathematically, we have this as:

The solution:

The question says Corning planned to make 75,000,000 vials in 2021.

But due to the demand for the vaccine, Corning decided to make d times as many vials.

We are asked to write an expression to find the number of vials Corning will make in 2021.

So, the required expression is:

Therefore, the correct answer is 75000000d vials.

The socially ideal dose of 40 flu vaccines may be determined by the external beneficial effect. While a $10 subsidy for each flu shot would bring the market equilibrium's result into line with the ideal situation for society.

In order to determine customer interest in and market demands for products that are currently in development, hypothetical scenario marketing uses product surveys and made-up scenarios. Utilizing hypothetical marketing can assist small business owners in allocating resources to product categories where customers have shown a need and desire.

The presented example is a positive externality situation since there is an external social benefit and the market equilibrium quantity is lower than the level of output that would be considered optimal for society because it ignores the external benefit. The subsidy is applied to either produce internalities or address externalities per unit.

At each level, there will be a $20 rightward shift in the marginal social benefit curve. With this external benefit effect in mind, 40 shots of the flu vaccine would be the most beneficial for society. The market equilibrium result would be identical to the socially ideal equilibrium with a $10 subsidy for each flu vaccine.

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The finished graph of g(x) = 2f(x - 1) would be as seen in red.

We were provided a graph of the function f(x).

g(x) = 2f is another function definition (x -1).

Now we must use the drawing tool(s) to create the proper graph of a function g(x) = 2f (x -1).

which can be discovered through transformation.

f(x) becomes f (x-1)

Then, f(x-1) becomes 2f (x-1)

f(x-1) shifts this same graph of f(x) by one unit to the right.

Whereas 2f(x-1) extends the graph of f(x-1) by a factor of 2. So we just need to double the y-coordinates of the points on the graph.

As a result, the finished graph of g(x) would be as seen in red.

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According to the solving the Probability of the event below is as:

 = 0.8333

Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.

The probability of rolling a number less than 6.

There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)

There is a total of six numbers and five ae below six in value.

So,

P(X < 6) = 5/6

             = 0.8333

According to the solving the Probability of the event below is as:

 = 0.8333

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Answer:

10,600 Canadian dollars

Step-by-step explanation:

[tex] \frac{1.06}{1} = \frac{x}{10000} [/tex]

[tex]x = 10000(1.06) = 10600[/tex]