The compound shape below is formed from a semicircle and a rectangle.

Calculate the area of the compound shape.
Give your answer in cm² to 1 d.p.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

28,000

Step-by-step explanation:

You can round both numbers:

400 * 70 = 28000

Answer:

\( \frac{20}{27} \)

Step-by-step explanation:

this can not be converted into a improper fraction

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The length of the garden is 3x - 4 feet.

Because the garden is square, we must take the square root of the area to determine its length.

The square garden's area is given by: 9x2 - 24x + 16

This expression can be factored as (3x - 4)(3x - 4)

We get 3x - 4 by taking the square root of this expression.

Hence, the garden's length is 3x - 4 ft.

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Answer:

-42 is the answer for the question

Answer:

$86.35

Step-by-step explanation:

103.98

 17.63

 86.35

Answer:

p=103.98 + 17.63

Step-by-step explanation:

In order to find last weeks pay we must take this weeks pay and add the money that was cut from his check.

Answer:

see explanation

Step-by-step explanation:

using the identity

sin²x + cos²x = 1

consider left side

(cosA - sinA)²

= (cosA - sinA)(cosA - sinA) ← expand using FOIL

= cos²A - sinAcosA - sinAcosA + sin²A

= cos²A + sin²A - 2sinAcosA

= 1 - 2sinAcosA

= right side

Answer:

24 mg find the whole area then subtract 16 boom!

Answer:

Cement = 20

Step-by-step explanation:

2x6=12

2x4=8

12+8=20

Answer:

1440 Years

Step-by-step explanation:

hope it helps

Two single receptacles can be installed in a two-gang box made up of two single-gang boxes ganged together.

A two gang-box is a square electrical box, also called a double-gang box, houses two devices. The two gang-box have a combination switch/outlet or a pair of switches/outlets inside that can control two lighting circuits.

A two-gang box made up of two single-gang boxes which are ganged together can install two single receptacles- receptacles refer to the openings in the gang box into which electronics can be plugged.

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Answer:

no

Step-by-step explanation:

adding random numbers and variables to any equation changes the equation. No, the answer would not be equal.

The graph matches the graph in option (D), hence, option (D) is the correct answer.

The given function is;

f(x) = 1 if -1 < x ≤ 0,

2 if 0 < x ≤ 1

3 if 1 < x ≤ 2

Note that from -1 to 0 the value of f(x) is 1, therefore, its graph will be a horizontal line passing through y = f(x) = 1 from -1 to 0.

Similarly, the graphs of f(x) =2 from o to 1 and f(x) = 3 from 1 to 2 will look like this.

The graph of the function is shown.

The graph matches the graph in option (D), hence, option (D) is the correct answer.

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The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.

If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.

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Answer:

\(-3\sqrt{3}\)

Step-by-step explanation:

\(-4\sqrt{12}+\sqrt{75}\)

\(-4\sqrt{4*3}+\sqrt{25*3}\)

\(-4\sqrt{4}\sqrt{3}+\sqrt{25}\sqrt{3}\)

\(-4(2)\sqrt{3}+5\sqrt{3}\)

\(-8\sqrt{3}+5\sqrt{3}\)

\(-3\sqrt{3}\)

The given linear time-invariant (LTI) system is described by a third-order linear constant coefficient differential equation. To determine the frequency response of the system, we can take the Laplace transform of the differential equation and solve in the Laplace domain

(a) To find the frequency response, we start by taking the Laplace transform of the given differential equation. Let \(Y(s)\) and \(X(s)\) represent the Laplace transforms of \(y(t)\) and \(x(t)\) respectively. By applying the Laplace transform, we obtain:

\[2s^3Y(s) + 4s^2Y(s) + 10sY(s) = 5X(s) + 2sX(s)\]

Simplifying the equation, we get:

\[Y(s) = \frac{5X(s) + 2sX(s)}{2s^3 + 4s^2 + 10s}\]

This equation represents the transfer function of the system in the Laplace domain. To obtain the frequency response, we substitute \(s = j\omega\) into the transfer function, where \(\omega\) represents the angular frequency.

(b) To approximate the Bode plot, we analyze the frequency response at low and high frequencies. At low frequencies (\(\omega \to 0\)), the terms involving \(s\) dominate, and the transfer function can be approximated as:

\[Y(j\omega) \approx \frac{2j\omega X(j\omega)}{2j\omega}\]

Simplifying, we find that the low-frequency gain is 1, indicating that the system passes low-frequency signals without significant attenuation.

At high frequencies (\(\omega \to \infty\)), the terms involving \(s\) become negligible compared to the constant term. Thus, the transfer function can be approximated as:

\[Y(j\omega) \approx \frac{5X(j\omega)}{10j\omega}\]

In this approximation, the gain decreases by -20 dB/decade, indicating that the system attenuates high-frequency signals.

The cutoff frequencies of the system can be determined from the Bode plot where the gain decreases by -3 dB. These frequencies represent the boundary between the passband and stopband of the system.

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Answer:

1.  0.9925  (4 d.p.)

2.  17°

3.  67°

Step-by-step explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

\(\sf \implies \sin X=0.2923\)

\(\sf \implies X=\sin^{-1}(0.2923)\)

\(\implies \sf X=16.99570395...^{\circ}\)

\(\implies \sf X=17^{\circ}\:\:(nearest\:degree)\)

Question 4

Sine Ratio

\(\sf \sin(\theta)=\dfrac{O}{H}\)

where:

From inspection of the triangle:

Substitute the values into the formula and solve for W:

\(\implies \sf \sin(W)=\dfrac{24}{26}\)

\(\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)\)

\(\implies \sf W=67.38013505...^{\circ}\)

\(\implies \sf W=67^{\circ}\:\:(nearest\:degree)\)            

Answer:

Step-by-step explanation:

the measurements are a Pythagorean triple, therefore it is a right triangle, where 3 and 4 are the legs and 5 is the hypotenuse, we use the formula 1/2 × b × h

A = 1/2 × b × h.

A = 1.5 × 4

A = 6"^2

Answer:

rise over run

Step-by-step explanation:

answer

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:

For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.

Step-by-step explanation:

Answer:

39 in²

Step-by-step explanation:

Area of triangle = 1/2 * b * h, where,

b = Base of Triangle

h = Height of triangle

Area of 4 triangles = 4 * 1/2 * 3 in * 5in

Area of 4 triangles = 2 * 3 in * 5 in

Area of 4 triangles = 30 in²

Area of square = a², where,

a = Each side of square.

Area of square = (3 in) ²

Area of square = 9 in²

Total surface area of pyramid = 30 inch² + 9 inch²

Total surface area of pyramid = 39 in²

Answer:

39 in^2 (Please mark me brainliest)

Step-by-step explanation:

3*3+3*2*5

=39

Answer:

PAIN

Step-by-step explanation:

Answer:

\(x = 21.\)

Step-by-step explanation:

\(m \angle \: bce = m \angle \: bcd + m \angle \: dce \\ 6x = 74 + (3x - 11) \\ 6x - 3x = 74 - 11 \\ 3x = 63 \\ \boxed{ x = 21.}\)

♨Rage♨

Answer:

i need directions

Step-by-step explanation:

The equation of the model is (b) 2x = 5

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

Left = x x

Right hand side = 1 1 1 1 1

The above parameters mean that

Left = 2x

Right = 5

When represented as an equation, we have

2x = 5

Hence, the equation is (b)

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Answer:

15 inches.

Step-by-step explanation:

V = 1/3 pi r^2 h

7065 = 1/3 * 3.14 * 30 * r^2

r^2  = 7065 / (1/3 * 3.14 * 30)

r^2 = 7065 / 31.4 = 225

r = sqrt 225 = 15.

This approach ensures that each house is in range of at least one tower while minimizing the number of towers needed to cover all houses.

To determine the minimum number of towers needed to cover all houses, we can start by sorting the house locations in ascending order. Then, we can place the first tower at x1+r, which covers all houses to the left of x1+r. We can continue placing towers at the first house that is not covered by the previous tower, with its location being the maximum distance from the previous tower that can still cover all houses within its radius.

Specifically, for any house x[i], we can check if it is within the radius of the current tower. If it is not, we place a new tower at x[i-1]+r and repeat the process. Once all houses are covered, we can return the number of towers used and their locations. This algorithm has a time complexity of O(n log n) due to the initial sorting step but can be optimized to O(n) by using a linear search instead.

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Answer:

B,D, and the last E

Step-by-step explanation:

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.