a church window is bounded above by a parabola and below by the arc of a circle (see figure). find the surface area of the window. (round your answer to three decimal places.)

Answer:

I think the best description of a regular polygon is a polygon with all equal angles

Step-by-step explanation:

hope this helps if not let me know

Answer:

\(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\)

Y-intercept = (0, -5)

Step-by-step explanation:

Given the linear equation in standard form,  3x - 5y = 25, for which we must determine its x- and y-intercepts.

It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.

The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.

Now, we can solve the x-intercept by setting y = 0:

3x - 5y = 25

3x - 5(0) = 25

3x - 0 = 25

3x = 25

Divide both sides by 3 to solve for x:

\(\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}\)

\(\bf\mathsf{x=\:\frac{25}{3}}\)

Therefore, \(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\) .

The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.

Now, we can solve the y-intercept by setting x = 0:

3x - 5y = 25

3(0) - 5y = 25

0 - 5y = 25

-5y = 25

Divide both sides by -5 to solve for y:

\(\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}\)

y = -5

Therefore, the y-intercept is (0, -5).

5x = 12 + 3

5x = 15

\(x = \frac{15}{5} \\ \)

x = 3

Answer:

3

Step-by-step explanation:

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

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Answer:

Answer is C Converse of the Base Angle Theorem

Step-by-step explanation:

And can I have brainliest PLZ

Answer:

n = 129

Step-by-step explanation:

Reference angle = 60°

Hypotenuse = n

Adjacent side = 64.5

Apply CAH, which is:

Cos 60 = adj/hyp

Cos 60 = 64.5/n

Multiply both sides by n

n×Cos 60 = 64.5

Divide both sides by cos 60

n = 64.5/Cos 60

n = 64.5/0.5

n = 129

Answer:

-9

Step-by-step explanation:

5x+8-3x = -10

Combine like terms

2x+8 = -10

Subtract 8 to both sides

2x = -18

Divide both sides by 2

x = -9

Answer:

-9

Step-by-step explanation:

5x + 8 - 3x = -10

Combine like terms

2x + 8 = -10

Subtract 8 to both sides

2x = -18

Divide both sides by 2

x = -9

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Looking at the quadrilateral, Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Option C

Lets analyse the above statement;

Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

A'B'C'D' is reflected across the x-axis not y axis.

when ABCD is reflected, it should be upside down

After its been reflected, when rotated 90°, its should sit as A'B'C'D' which makes the statement true.

ABCD has also been enlarged  by the scale factor of 2 and this can be proven.

The scale factor of a dilation in the coordinate plane can be found by comparing the lengths of corresponding line segments before and after the dilation.

Coordinates for big quadrilateral A'(10, 4) B'(8, 8) C' (-4, 6)  D' (2, 2)

Coordinates for small quadrilateral A (2, 5)   B(4, 4)  C(3, -2)  D(1, 1)

d = √((x2 - x1)² + (y2 - y1)²)

Let's choose sides AB from each quadrilateral to calculate

For the side AB in the small quadrilateral:

d = √((4 - 2)² + (4 - 5)²)

= √((2)² + (-1)²)

= √(5)

And for the side A'B' in the large quadrilateral:

d =√((8 - 10)² + (8 - 4)²)

= √((-2)² + (4)²)

= √(20)

So, the scale factor is the ratio of these distances:

Scale Factor =√(20) / √(5)

= √(4)

= 2

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The value of x is 6.

What is system of linear equations?

A collection of one or more linear equations involving the same variables is known as a system of linear equations in mathematics. For instance, the system of three equations 3x + 2y - z = 1, 2x - 2y + 4z = -2, -x + y - z = 0 has the three variables x, y, and z.

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

Graphically, a system of linear equations that has no solution indicates two parallel lines-that is, two lines that have the same slope but different y-intercepts.

To have the same slope, the x-and y-coefficient must be the same.

To get from -2/3 to -8 you multiply by 12, so multiply  -1/2x by 12 as well to yield 6x.

Because the other x-coefficient is a, it must be that a = 6  and (D) is correct.

Note that, even though it is more work, you could also write each equation in slope-intercept form and set the slopes equal to each other to solve for a.

Hence, the value of x is 6.

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We are required to calculate the number of students that bought cheese pizza

Total students that purchased pizza = 280

pepperoni pizza = 39%

= 39 / 100 × 280

= 0.39 × 280

= 109.2

hamburger pizza = 26%

= 26/100 × 280

= 0.26 × 280

= 72.8

Cheese pizza = x

Total pizza = pepperoni pizza + hamburger pizza + Cheese pizza

280 = 109.2 + 72.8 + x

280 = 182 + x

280 - 182 = x

98 = x

Therefore,

The number of students who bought cheese pizza are 98 students

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The conditions for the continuity of a functions requires the function to be defined at a point. The specified function is not defined at x = π. Therefore, the reason why the function is discontinuous is first option

Condition 2 fails; f(π) does not exist

The conditions for a function to be continuous at a point are;

The specified piecewise function can be presented as follows;

f(x) = sin(x), x < π, f(x) = tan(x), x > π

The above function is not defined for x = π, therefore, f(π), does not exist, and first condition above, and condition 2 in the option fails

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The initial note on the computer hardware bought on June 2 was $128,000.

The payable note for the transactions on June 2 and June 10 has a term of five years and carries interest of 12 percent a year. A 360-day year should be used to calculate interest expenses. (CRITICAL NOTE: The initial note on the computer hardware bought on June 2 was $128,000.

The note payable is a promissory note that the borrower issues pledging to pay the lender according to the terms set forth in their mutual agreement. If the note payable is due in less than a year, it can be recorded as a current liability on the liability side. If the note payable is due in more than a year, it is recorded as a non-current liability.

The complete question is:

The note payable relating to the June 2, and 10 transactions is a five-year note, with interest at the rate of 12 percent annually. Interest expense should be computed based on a 360 day year. (IMPORTANT NOTE: The original note on the computer equipment purchased on June 2 was $128,000. On June 10, eight days later, $24,500 was repaid. Interest expense must be calculated on the $128,000 for eight days. In addition, interest expense on the $103,500 balance of the loan ($128,000 less $24,500 = $103,500) must be calculated for the 20 days remaining in the month of June.)

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Answer:

yellow blue green gray black white

Answer: less

Step-by-step explanation:

If 100% of 10 is 10, we multiply 10 by 5 to get 500%.

10 x 5 = 50

500% of 10 will be equal to the number 50.

The answer is less.

Answer:

\(144 \times 6^{-2}\\\\= 144 \times \frac{1}{36}\\\\= \frac{144}{36}\\\\= \frac{12}{3}\\\\= 4\)

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Answer:

Step-by-step explanation:

Notice that f(x) = ab would be a constant function, as 'x' does not appear on the right side.  If 'a' were increased by 2, the magnitude of f(x) would be increased by a factor of 2.  The domain of f(x) would not change; the range would be [a·(b+2)) (a single numeric value).

Answer:

11 11/12

Step-by-step explanation:

You can change these "mixed numbers" (a big whole numbers and also a fraction) to "improper fractions" (a single fraction with a bigger number on top and a smaller number on the bottom)

4 1/3 × 2 3/4

see image

13/3 × 11/4

Multiply straight across, top×top and bottom×bottom.

see image.

Change back to a mixed number by dividing.

The multiplication of 4 1/3 x 2 3/4 is 11 11/12.

The correct option is C.

A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.

To multiply 4 1/3 and 2 3/4, we can first convert them to improper fractions:

4 1/3 = 13/3

2 3/4 = 11/4

Then we can multiply the fractions by multiplying the numerators and denominators separately:

(13/3) x (11/4) = (143/12)

Finally, we can convert the improper fraction back to a mixed number if desired:

143/12 = 11 11/12

Therefore, the answer is 11 11/12.

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Answer:

2m³ + 9m² - 19m - 11

Step-by-step explanation:

3f(m) - 2g(m)

= 3(3m² - 5m + 1) - 2(- m³ + 2m + 7) ← distribute parenthesis

= 9m² - 15m + 3 + 2m³ - 4m - 14 ← collect like terms

= 2m³ + 9m² - 19m - 11

Answer:

A. 1056

Step-by-step explanation:

v=length x width x height

v= 4 x 11 x 4

v= 176

since there are 6 prisms you must multiply it by 6

so, v= 176 x 6

v= 1056

The plot of the points √16, √35, and √66 on the x-axis is added as an attachment

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

Points = √16, √35, and √66

When these points are simplified, we have

√16 = 4

√35 ≈ 5.92

√66 ≈ 8.12

So, the locations of the points on the x-axis are

Using the above as a guide, we can now plot the points on the x-axis

See attachment

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The statement is false, a triangle can't have two angles of 90°.

Remember that for any triangle, the sum of the 3 interior angles should be equal to 180°.

So if the 3 interior angles are A, B, and C we have.

A + B + C = 180°

In this case we know that two of the angles are of  90°, so let's say that:

A = 90°

B = 90°

Replacing that we will get:

90° + 90° + C = 180°

C = 180° - 90° - 90°

C = 0°

And we can't have a 0° degree angle, so the statement is false, triangles with two 90° don't exist.

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

In general, the difference quotient is \(\dfrac{f(x+h)-f(x)}{h}\).

Before we evaluate all of that, we need to find the two top pieces individually.

     \(\begin{aligned}\\f(x+h) &= -5(x+h)+8 \\[0.5em]&= -5x-5h+8\\\end{aligned}\)

and

    \(f(x) = -5x+8\)

We'll plug that back into the difference quotient:

    \(\begin{aligned}\dfrac{f(x+h)-f(x)}{h} &= \dfrac{(-5x-5h+8)-(-5x+8)}{h}\\[0.7em]&= \dfrac{-5x-5h+8+5x-8}{h}\end{aligned}\)

Can you take it from there?

Answer: I think it is -7 I'm not exactly sure but that's what I think please take someone else's answer just in case.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean of the reading points is

Mean = (5.8 + 5.9 + 4.9 + 5.2 + 5.0 + 4.9 + 6.2 + 5.1 + 5.7 + 6.1)/10 = 5.48

The process is out of control if the mean salt level of the readings is greater than 5.4

For the null hypothesis,

µ = 5.4

For the alternative hypothesis,

µ > 5.4

This is a right tailed test.

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5.4

x = 5.48

σ = 0.3

n = 10

z = (5.48 - 5.4)/(0.3/√10) = 0.84

Looking at the normal distribution table, the probability corresponding to the z score is 0.7996

The probability value to the right of the z score is 1 - 0.7996 = 0.2

Assuming a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.2, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, we can conclude that the process is not out of control. If we had rejected the null hypothesis, then our conclusion would be that the process is out of control.

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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