A large window is made of a semicircle and a square. The square section is made of 9 square window panes. The builder wants to buy glass for each of the parts of the window.

a. What is the area, in square inches, of the semicircular pane of glass the builder needs? Round the answer to the nearest tenth, if necessary. You can disregard the width of the white window trim in your calculations.
_____in^2

b. What is the area, in square inches, of each of the 9 panes of glass for the square part of the window? Round the answer to the nearest tenth, if necessary.
_____in^2

c. What is the perimeter, in inches, of the entire window? Round the answer to the nearest tenth, if necessary.
_____in.

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Answer:

parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.

Step-by-step explanation:

Answer: C) the third graph

Step-by-step explanation: i got 100% on my quiz, hope this helps!!

Answer:

Option (7)

Step-by-step explanation:

5x + 6y > 1

6y > -5x + 1

y > \(\frac{1}{6}(-5x+1)\)

y-intercept of the line = \(\frac{1}{6}=0.167\)

Shaded area will be above the dotted line y = \(-\frac{1}{5}x+\frac{1}{6}\)

y - x < 0

y < x

As y-intercept of the line is zero, given inequality will pass through (0, 0).

And the shaded area will be below the line.

Therefore, graph shown in Option (7) will be the correct option.  

Answer:

~14.4

Step-by-step explanation:

You can use the Pythagorean Theorem to find the hypotenuse (corner to corner) of the line between the corners of the rectangle.

A^2 + b^2 = c^2

8^2 + 12^2 = 208
√208 = 14.42

Answer:

The jumping dolphin --  changes

The flying seagull -- same

The octopus --  same

Step-by-step explanation:

The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :

The jumping dolphin :

As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.

The flying seagull :

The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface

The octopus :

The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.

The answer would be -3/4

Answer:

d= 0.65 or 13/20

Step-by-step explanation:

-4(3d - 2) = 8d -5

-12d +8 = 8d -5

arrange like terms on the same side of the equation

8 +5 = 8d +12d

13 = 20d

13/20 = d

The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.

One week has seven days in total.

Mrs. Smith walks half a mile each day after work, she walks a total of

0.5 miles/ day × 7 days/ week = 3.5 miles/ week

Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.

Therefore,

0.5 miles/ day × 4 days = 2 miles

To convert miles to yards, we can use the fact that there are 1760 yards in one mile:

2 miles/week × 1760 yards/mile = 3520 yards/week

Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.

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The value of i/s is 0.02.

Now, According to the question:

"Information available from the question"

s/a = 4; l/a = 0.20; i/e = 0.10; a = l e and a = 100.

We have to find the i/s

We can first find the value of e, using the equation a = l + e, where l/a = 0.20 and a = 100:

e = a - (l/a) * a = 100 - (0.20 * 100) = 100 - 20 = 80

Next, we can find the value of i using the given information i/e = 0.10:

i = i/e * e = 0.10 * 80 = 8

Finally, we can find the value of i/S using the equation i/S = i / (S/a) * a = 8 / (4 * 100) = 8 / 400 = 0.02.

So, the value of i/S is 0.02.

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Answer:

defines y as a function of x, because for every x value there is no more than a y value. (In fact for every x there is exactly one y value). We can forgive a function if some values of x do not have a y, but if there is more than one y for even one value of x, then the relation is not a function.

x=y2+6  does not define y as a function of x, because some value(s) of x have more than one y.

In general,

       x=y2-6--->x+6=y2

So, all the values of x larger than -6 would have two y values.

For example, x=10 would be paired with y=4 and y=-4.

A function cannot assign more than one y to any x value.

Step-by-step explanation:

i am not sure if this is what you mean tell me if it is not i will try one more time

Answer:

2.08 this is answer

The total amount of income Xander earns from selling y books algebraically is C = 25000 + xy + 0.08y.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenarios.

In this situation, Xander writes math textbooks that sell x dollars each, he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale.

c = total amount

y = number of books.

The total amount of income will be:

= 25000 + (x × y) + (8% × y)

= 25000 + xy + (0.08 × y)

C = 25000 + xy + 0.08y

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Answer:

180 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180degrees

The statement, "If O is an optimal solution to a linear program, then O is a vertex of the feasible region" is not always correct because an optimal solution to a linear program may not necessarily be a vertex of the feasible region.

In a linear programming problem, the optimal solution refers to the best possible feasible solution that maximizes or minimizes the objective function. A feasible region is the collection of all feasible solutions that satisfy the constraints of the linear programming problem.

In some cases, the optimal solution may lie at one of the vertices of the feasible region. However, this is not always the case. In particular, if the feasible region is not convex, the optimal solution may lie at some point in the interior of the feasible region that is not a vertex. Moreover, if the feasible region is unbounded, there may not be an optimal solution to the linear program.

Therefore, we cannot say that "If O is an optimal solution to a linear program, then O is a vertex of the feasible region" is always correct.

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Answer:

The discount on the skateboard is 12% of its original price, so the discounted price is:

Discounted price = $79.28 - 0.12($79.28) = $69.78

Now we need to calculate the sales tax on the discounted price. The sales tax rate is 8.25%, so the amount of sales tax is:

Sales tax = 0.0825($69.78) = $5.76

Adding the discounted price and the sales tax, we get the total cost of the skateboard:

Total cost = $69.78 + $5.76 = $75.54

Therefore, the total cost of the skateboard, including the discount and sales tax, is $75.54.

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

1.) x = 10

2.) x = 5

3.) x = 3

4.) x = 27

5.) x = 30

6.) x = 29

7.) x = 7

8.) x = 32

9.) x = –4

10.) x = 60

Answer: 89

Step-by-step explanation:

The volume of the prim is 24 cubic cm and each cube represents  4/3 cm³

Volume is defined as the amount of substance that can be filled in the shape in such a way that the whole figure is complete filled with that substance. Vοlume is defined as the space οccupied within the bοundaries οf an οbject in three-dimensiοnal space. It is alsο knοwn as the capacity οf the οbject.

Here the measure the cube measure of a centimetre on one side

Length of the prim = \(1*4=4 cm\)

Breadth of the prism = \(1*2=2cm\)

Height of the prism = \(1*3=3 cm\)

So, the volume of the prism = l*b*h

Volume of the prism = \(\rm 4*3*2=24\ cm^3\)

Hence, the volume of the prism is 24 cubic cm.

There are total 18 cubes, so each cube represents= 24/18 = 4/3

Thus, each cube represents  4/3 cm³

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The equation of the translation is y = sin(x - π/4)

The equation is given as:

y = sin(x)

The rule of translation to the right is:

(x,y) => (x - h,y)

This gives

(x,y) => (x - π/4,y)

So, we have:

y = sin(x - π/4)

Hence, the equation of the translation is y = sin(x - π/4)

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The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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Answer:

y= (3/4)x +1

Step-by-step explanation:

The interval that contains the central 80% of MCAT scores is 488.77 to 513.03, rounded to three decimal places.

To find the interval that contains the central 80% of MCAT scores, we need to find the standard deviation boundaries.

Using the standard normal distribution, we can find the Z-score that corresponds to the 80% interval. For a standard normal distribution, the Z-score for the lower boundary of the 80% interval is -1.282, and the Z-score for the upper boundary of the 80% interval is 1.282.

To find the MCAT score for each Z-score, we need to use the formula:

MCAT score = mean score + (Z-score * standard deviation)

For the lower boundary:

MCAT score = 500.9 + (-1.282 * 10.6) = 488.77 (rounded to two decimal places)

For the upper boundary:

MCAT score = 500.9 + (1.282 * 10.6) = 513.03 (rounded to two decimal places)

Therefore, the interval that contains the central 80% of MCAT scores is 488.77 to 513.03, rounded to three decimal places.

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Complete question is in the image attached

The value of t increases, the volume of water (V) also increases proportionally. Similarly, if the value of t decreases, the volume of water (V) also decreases proportionally

In a mathematical relationship, there are two types of variables, namely independent and dependent variables. An independent variable is a variable whose value can be changed freely without depending on any other variable, whereas a dependent variable is a variable whose value is dependent on the value of another variable.

In the given situation, the time (t) and the volume of water (V) are the two variables. Time (t) is the independent variable as its value can be changed freely without depending on the volume of water (V). On the other hand, the volume of water (V) is the dependent variable as its value is dependent on the time (t) it takes to fill the water tank. In simpler terms, the volume of water (V) depends on how long it takes to fill the tank (t).

Therefore, both V and t are independent variables.In this situation, the mathematical formula that shows the relationship between the two variables is given by;V = k/twhere k is a constant value representing the volume of water that flows into the tank per unit time. In this situation, the value of k is obtained by dividing the volume of water (V) by the time (t) it takes to fill the tank. Therefore, the value of k is given by;k = V/tSubstituting the value of k in the equation V = k/t gives;V = (V/t)tV = VThis shows that the relationship between V and t is direct and proportional.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer:

$45.50

Step-by-step explanation:

If 4 yards of fabric costs $26, we can divide to see how much one yard costs. 26÷4 is 6.5, and since you want 7 yards, we can multiply by 7 to see how much 7 yards cost. 7×6.5 is 45.5, and converting that to dollars gives us $45.50.