A 10-in2 section of a 25-in2 dartboard is painted red. If a dart lands at random on the dartboard, what is the probability that it lands in the section painted red?

The ground do the ropes intersect each other is at 4 ft.

AB and ED are the poles (perfectly vertical). BE and DA are the ropes that cross at C.

F is the point directly below C on the ground (line AE), which is perfectly flat and horizontal.

The vertical poles are part of parallel lines.

As a consequence, triangles ABC and DEC have congruent angles at B and E, and at A and D (alternate interior). Of course, ABC and DEC also have congruent angles at C (vertical angles).

Triangles ABC and DEC are similar, with corresponding sides in the ratio 2:1

\(\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}= \frac{2}{1}\)

In particular,

BC = 2EC and BE = BC + EC = 2EC + EC = 3EC

Right triangles ABE and FCE, with the same angle at E, are also similar, so

\(\frac{AB}{FC}= \frac{BE}{CE}= \frac{3EC}{EC3.1}\) --> AB = 3FC --> \(FC = \frac{AB}{3}= \frac{12 ft}{3} = 4ft\)

The ropes cross 4 ft above the ground.

Hence the answer is the ground do the ropes intersect each other is at 4 ft.

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Answer:

Area of the 2 circles

= 2 pi r square root

= 2 x 3,14 x 21 x 21

=6,28 x 441

=2769.48inches square

Area of the rectangle

= L x h

= where is the other number bc then u cant solve it

Step-by-step explanation:

Answer:

x² - 10 = 71

that would be how the equation would be written out

The type of coupon is the independent variable.

The given experiment deals with two different types of coupons and their effects on customers' buying behavior. The purpose is to determine which coupon is more effective in getting individuals to buy two pairs of shoes. The question is to identify the independent variable from the given experiment.

The options are:

A. The price of shoes.

B. The type of coupon.

C. The customer entering a shoe store.

D. The number of pairs of shoes purchased.

The independent variable in the experiment is the type of coupon (Option B). The independent variable is the variable that is being changed or controlled to see the effect on the dependent variable.In this case, two types of coupons are being given to every other customer. The experimenters are trying to find out which type of coupon is more effective in getting customers to buy two pairs of shoes. By giving different coupons to different customers, the experimenters are trying to change the customers' buying behavior.

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Answer:

1:7, 1/7, 1 to 7

Step-by-step explanation:

5/35 = 1/7

Answer:

1 to 7

Step-by-step explanation:

The formulas for the entries of the sequence [an] are given by the expression aₙ = 5 - 2ₙ, where n is a positive integer. This formula allows us to calculate the values of the sequence for any desired term by substituting the corresponding value of n.

To find the formulas for the entries of the sequence, we need to substitute the values of n, starting from 1, into the expression aₙ = 5 - 2ₙ.

For n = 1, the formula gives us a₁ = 5 - 2(1) = 5 - 2 = 3.

For n = 2, the formula gives us a₂ = 5 - 2(2) = 5 - 4 = 1.

Continuing this pattern, we can find the formulas for the remaining entries of the sequence. For example, for n = 3, a₃ = 5 - 2(3) = 5 - 6 = -1.

In general, the formula for the nth entry of the sequence can be written as aₙ = 5 - 2ₙ.

Thus, the formulas for the entries of the sequence [an] are given by aₙ = 5 - 2ₙ, where n is a positive integer.

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The above statement can be represented as :

value of x = 20

hence, the required number is 20

Answer:

71/2 just

Step-by-step explanation:

just like that

ANSWER

Step-by-step explanation:

if x= 6 and y= -4, evaluate: 3x + x/y - y^2

we will just substitute for the values

3(6) + 6/-4 - (-4)²

=18 + 6/-4 - (16)

=18 + 6/-4 - 16

L.C.M=-4

= -72+6-(64)/-4

= -72-64+6/-4

=-136+6/-4

= -130/-4

=32.5 or 32 2/5

I hope I helped

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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Answer:

Step-by-step explanation:

First divide 1500 by 60 to see how many words he can write in a minute. he can text 25 words a minute. multiply that by five to see how many words he can text in five minutes. he can text 125 words in five minutes, so he can text 85 words in a minute.

To complete each factor of x^2 + 3x - 40, we need to find two binomials whose product is x^2 + 3x - 40 and whose sum is 3. One way to do this is to factor -40 into -8 and 5, so the two binomials are (x - 8) and (x + 5).

The explanation for this is that when we factor a quadratic expression in the form of ax^2 + bx + c, we look for two binomials in the form of (mx + p) and (nx + q) such that their product is equal to ax^2 + bx + c.

To find the values of m, n, p, and q, we need to use a method called "AC method" or "splitting the middle term". In this case, we have a = 1, b = 3, and c = -40, so we need to find two numbers whose product is -40 and whose sum is 3. By trial and error or by using a formula, we can find that -8 and 5 satisfy these conditions, so we can write (x - 8) and (x + 5) as the two binomials.

In summary, to complete each factor of x^2 + 3x - 40, we need to find two binomials whose product is x^2 + 3x - 40 and whose sum is 3. One way to do this is to factor -40 into -8 and 5, so the two binomials are (x - 8) and (x + 5).

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Answer:

(a) To express the quadratic function in the form of a(x - p)² + q, we first need to complete the square:

f(x) = 30x - 5x²

= -5(x² - 6x)

= -5(x² - 6x + 9 - 9)

= -5[(x - 3)² - 9]

= -5(x - 3)² + 45

Therefore, the function in the form of a(x - p)² + q is f(x) = -5(x - 3)² + 45, where a = -5, p = 3, and q = 45.

(b) The maximum height of the object occurs at the vertex of the parabola, which is at x = p = 3. Therefore, to find the maximum height, we plug x = 3 into the equation:

f(3) = -5(3 - 3)² + 45

= 45

So the maximum height of the object is 45 units.

Hope this helps!

Answer:

A

Step-by-step explanation:

"Changing the measurement unit" is the correct answer because it's like transforming a measurement into a different language or currency, but keeping the meaning or value intact. When you convert from feet to inches, you're essentially translating the measurement into a smaller unit (inches) while preserving the original quantity or value. It's similar to how you can express the same distance or length in different units, like converting from miles to kilometers or from pounds to kilograms. It's like speaking the measurement's language in a different dialect or using a different currency for the same value.

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

Answer:

Splash Mountain = $7.25

Centrifugal Chamber= $5.25

Step-by-step explanation:

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Answer:

12 inches by 21 inches

Step-by-step

Let's start with the 8 feet

for every 2 feet add three inches you get a total of 12 inches

same for the 14 feet, you get 21 inches

Answer: 25°F is approximately $375.

Step-by-step explanation:

The scatter plot shows a positive correlation between the average monthly temperature (x) and the family's monthly heating cost (y). The line of best fit appears to be a linear equation, and it can be approximated by the equation y = mx + b, where m is the slope and b is the y-intercept.

(a) One possible equation of the line of best fit for the data is y = 15x + 300. This equation is only an approximation as it is hard to determine the exact line of best fit without more data points.

(b) Using the equation y = 15x + 300, the predicted monthly heating cost for a month with an average temperature of 25°F can be found by plugging in x = 25 into the equation.

y = 15(25) + 300 = 375

Therefore, the predicted monthly heating cost for a month with an average temperature of 25°F is approximately $375.

The transformation that took place is a horizontal stretch by a factor of 2

We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.

Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2

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Answer: A Horizontal Stretch by a Factor of 2

Step-by-step explanation:

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

The number of solutions the system of equations have is (d) infinite many solution

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

The graph

On the graph, we can see that there is only one line visible

This means that the number of solutions in the equation is many i.e. infinite many solution

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Answer:

x axis and y axis

Step-by-step explanation:

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

2/3a - 1/6 =1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/2=3/4

:.a=3./4

If a bed is 3 cm by 2 cm in a drawing and a scale of 1 to 80, the real length of bed is 240 cm and width of the bed is 160 cm

The length of the bed in drawing = 3 centimeter

The width of the bed in drawing = 2 centimeter

The scale = 1 : 80

The scaling is the process of drawing an object in proportional to the actual size of the object.

The  real length of the bed  = 3 × 80

= 240 centimeter

The real length of the bed = 2 × 80

= 160 centimeter

Hence, if a bed is 3 cm by 2 cm in a drawing and a scale of 1 to 80, the real length of bed is 240 cm and width of the bed is 160 cm

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The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

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False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Answer:

it is in equation, all you do is add then subtract then multiply

Step-by-step explanation:

Answer:

14 to 21

Step-by-step explanation:

reverse of 21 to 14 = 14 to 21

Answer:

sine B = 8/17

Step-by-step explanation:

Mathematically, the sine of an angle is the ratio of the opposite side to the hypotenuse side

The opposite side is the side that faces the angle

From what we have, the opposite side is of measure x

The hypotenuse is the side that faces the right angle

The hypotenuse here is z

So we have the value of sine B as x/z

This would give;

sine B = 8/17

Answer:

Step-by-step explanation:

Item 1

<RSL is not ≅ < XYM

Item 2

< LST and < QRX are not supplementary (they are congruent)

Item 3

m < LST = 120 - there is no evidence for this.

Item 4

< JRS = <LST

so, If < LST =  120, then this can't be 195