Solve 2x+18=6y for x.

The shaded area is 43 square inches.

To find the shaded area, we need to find the area of the rectangle and subtract the area of the two circles.

We can see that the triangle is of 10 inches by 20 inches, then the area is:

A = 10in*20in = 200 in²

And the area of a circle of radius R is:

A = 3.14*R²

Here we can see that the radius is 5 inches, then we will get:

A = 3.14*(5 in)²

A = 78.5 in²

Then the shaded area is:

area =  200 in² - 2*78.5 in²

area = 43 in²

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Answer:

2

Step-by-step explanation:

1+1=2

Answer:

i have no idea, i tried to figure out the best i could i hope you find the answer

Step-by-step explanation:

the integral in spherical coordinates is:

∭e y dv = ∫(θ=0 to 2π) ∫(φ=cone to plane) ∫(ρ=0 to √7) ρ^2 sin(φ) dρ dθ dφ

To express the integral ∭e y dv in spherical coordinates, we need to determine the limits of integration for each variable in the spherical coordinate system.

Given:

Sphere equation: x^2 + y^2 + z^2 = 16z

Plane equation: z = 7

Cone equation: z = x^2 + y^2

We first need to find the intersection points between the sphere and the plane:

x^2 + y^2 + z^2 = 16z

x^2 + y^2 + z^2 - 16z = 0

x^2 + y^2 + z^2 - 16z + 64 = 64

x^2 + y^2 + (z - 8)^2 = 64

Since z is equal to 7 in the plane equation, we substitute z = 7 in the cone equation to find the intersection points:

7 = x^2 + y^2

By solving these equations, we find that the intersection points lie on the circle with radius √7.

Now, let's set up the integral in spherical coordinates:

∭e y dv = ∫∫∫e ρ^2 sin(φ) dρ dθ dφ

The limits of integration are as follows:

ρ: from 0 to √7 (radius of the intersection circle)

θ: from 0 to 2π (complete revolution around the z-axis)

φ: from the cone z = x^2 + y^2 to the plane z = 7

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It is false that the following shape is both irregular and concave.

In mathematics, shape refers to the geometric properties of an object, independent of size, location, or orientation. It is a fundamental concept in geometry and is used to describe and classify objects based on their physical characteristics. Shapes can be two-dimensional (2D), such as circles, triangles, and rectangles, or three-dimensional (3D), such as spheres, cubes, and pyramids. They can also be categorized as regular or irregular, convex or concave, and simple or complex. Regular shapes have all sides and angles equal, such as a square or a regular pentagon. Irregular shapes have sides and angles of varying sizes, such as a parallelogram or a trapezoid. Convex shapes have no interior angles greater than 180 degrees and the straight line segment between any two points inside the shape lies entirely within the shape. Examples include triangles and circles. Concave shapes have at least one interior angle greater than 180 degrees and may have parts that extend outward. Examples include crescents and stars. Simple shapes are composed of a single closed curve, while complex shapes are composed of multiple closed curves or intersecting lines. Shapes can also be transformed through translation, rotation, reflection, and scaling to create new shapes with similar or different properties.

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Answer: x = 23

Step-by-step explanation:

The sum of any triangle's angles will add up to 180°. Since we already have a known angle, 65°, we can subtract that from 180°.

180° - 65° = 115°

Now we add the unknown angles (x) together:

4x + x = 5x

Lastly, we divide 115 by 5 to find x.

115/5 = 23

x = 23

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

x-y

Step-by-step explanation:

Combine like terms

2/3x + 1/3x - 3y + 2y

1x - 1y

x - y

Answer:

2/3x + 1/3x = 1x or x

-3y + 2y = -1y or -y

x - y

Step-by-step explanation:

combine like terms.

Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:

\(t = \frac{9}{2x}\)

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\).

Denise bikes 3 miles to her friend's house, hence:

\(v_1 = \frac{3}{t_1}\)

\(t_1 = \frac{3}{v_1}\)

The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, \(v_2 = 0.5v_1\):

\(v_2 = \frac{3}{t_2}\)

\(t_2 = \frac{3}{v_2}\)

\(t_2 = \frac{3}{0.5v_1}\)

\(t_2 = \frac{6}{v_1}\)

The total time is given by, considering \(v_1 = 2v_2 = 2v = 2x\), as we want to consider x the rate coming home:

\(t = t_1 + t_2\)

\(t = \frac{3}{2x} + \frac{6}{2x}\)

\(t = \frac{9}{2x}\)

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Answer:

ok what is thepromblem

Step-by-step explanation:

Answer:

whats up? whats tha questionn :)

Step-by-step explanation:

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

\(\sec\theta =\dfrac{Hypotenuse}{Base}\)

\(\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}\)

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

\(\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}\)

\(\sec\theta =\dfrac{\sqrt{36+1}}{6}\)

\(\sec\theta =\dfrac{\sqrt{37}}{6}\)

Therefore, the exact value of secθ is \(\dfrac{\sqrt{37}}{6}\).

Answer:

2.5 teaspoons

Step-by-step explanation:

75/15 = 5

1/2 · 5 = 2.5

Answer:

2.5 teaspoons of sugar

Step-by-step explanation:

\(\frac{15}{0.5} =\frac{75}{y}\)

Cross multiply.

15 × y = 0.5 × 75

15y = 37.5

15y ÷ 15 = 37.5 ÷ 15

y = 2.5

The required statements and reasons to complete the two column proof are explained below.

When on  comparison the corresponding length of sides of two triangles have some common properties, then they are said to be similar. Though similarity does not imply congruency.

The complete two column proof is shown as thus:

      STATEMENT               REASON

1. FG/FH = KJ/KH              Given

2. <H ≅ <H                        Reflexive property

3. ΔFHK ~ ΔGHJ               Two pairs of corresponding sides are proportional

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Answer:

The original point P is (-1, -5)

Since the original point was reflected over the y axis then you would reflect over the x axis to get the original point and when you reflect over the x axis the x coordinates stay the same and you change the y coordinates to the opposite of what it is

Answer:

Step-by-step explanation:

find the two points and do "rise over run" to fins the slope.

the y-intercept is the point on the y-axis

(0, 3) and (-5, 5)

slope is 2/5

y-intercept is 3

y = 2/5x + 3

The ride that has the greatest elevation based on the information is B. Lightning bolt : 327 feet.

The term elevation is typically used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.

Elevations show how your house will appear from various perspectives. Regarding these particular angles, there are many elevation kinds. Some varieties include split elevations, rear elevations, side elevations, and front elevations.

From the information, it was stated that the lightning bolt starts at an elevation of 15ft from the platform and speeds the passengers to an elevation of 327 ft.

It should be noted that the information is to simply find the elevation that is the greatest.

Based on the figures given, the appropriate elevation will be 327 feet.

Therefore, the correct option is B.

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Answer:

90 40

Step-by-step explanation:

if the next digit is less than 5 ( this is called rounding down) but increase it by 1 if the next digit is 5 or more ( this is called rounding up) so when the first digit is removed is more is 5 or more, increase the last digit remaining by 1

According to the given model, the mass of radon-222 in the sample decreases exponentially over time. Initially, the decrease is relatively slow, but as time progresses, the rate of decay accelerates, resulting in a diminishing mass of radon-222 remaining in the sample.

The given model, m(t) = 450 * (\(0.83^{t}\)), describes the mass of radon-222 remaining in a sample after t days, where t represents the number of days since the start. Let's explore how the mass of radon-222 changes over time according to this model.

Initially, the sample contains 450 milligrams of radon-222. As t increases, the value of exponent (\(0.83^{t}\)) decreases exponentially. This means that the mass of radon-222 remaining in the sample gradually decreases over time.

Exponential decay occurs because radon-222 is a radioactive isotope with a half-life. In this case, the base of the exponent, 0.83, represents the fraction of radon-222 remaining after one day.

For example, after one day (t = 1), the exponent becomes \(0.83^{1}\) = 0.83, indicating that approximately 83% of the radon-222 remains in the sample. As t increases, the exponent decreases further, causing the remaining mass of radon-222 to decrease exponentially.

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The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

The choice of statistical test depends on several factors, including the type of measurement (nominal, ordinal, interval, or ratio), the nature of the comparison (independent or dependent), and the number of groups being compared.

For example, different statistical tests are used for comparing means between two groups, three or more groups, or paired observations within the same group. It is important to select the appropriate statistical test that matches the research question and the data being analyzed to ensure accurate and valid results.

Hence, The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

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Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

The first five non-zero terms of power series representation centered at for the function below : f(x) = ln (4-x): The radius of convergence is (4-2)/2 = 1.

To find the first five non-zero terms of the power series representation centered at 0 for the function f(x) = ln(4-x), we'll first rewrite the function using a Maclaurin series. We know that ln(1+z) can be expressed as the following Maclaurin series:

ln(1+z) = z - (z^2)/2 + (z^3)/3 - (z^4)/4 + ...

Now, let z = 4 - x - 1 = 3 - x. Then, f(x) = ln(1+(3-x)) and the series becomes:

f(x) = (3-x) - ((3-x)^2)/2 + ((3-x)^3)/3 - ((3-x)^4)/4 + ...

Now, we can find the first five non-zero terms of the series:

1st term: (3-x)
2nd term: -(1/2)(3-x)^2
3rd term: (1/3)(3-x)^3
4th term: -(1/4)(3-x)^4
5th term: (1/5)(3-x)^5

For the radius of convergence, we can use the Ratio Test on the series representation of ln(1+z):

|z^(n+1)/(n+1) * n/z^n| = |n/(n+1) * z|

Take the limit as n approaches infinity:

lim (n→∞) |n/(n+1) * z| = |z|

For the series to converge, the absolute value of z must be less than 1. In our case, z = 3-x, so:

|3-x| < 1

Solve for x:

-1 < (3-x) < 1
2 < x < 4

The radius of convergence is (4-2)/2 = 1.

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To simplify the expression, we need to divide 15 by the fraction 51/5.

To divide by a fraction, we multiply by its reciprocal. The reciprocal of 51/5 is 5/51.

Therefore, the expression simplifies as follows:

15 * (5/51) = (15 * 5) / 51 = 75/51

To further simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 3. We divide both the numerator and denominator by 3:

75/51 = (75/3) / (51/3) = 25/17

Therefore, the simplified expression is 25/17.

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Answer:

13

Step-by-step explanation:

12-{1+2[-1(3-8]2}

12-{1+2[-1-5]2}

12-{1+2[-6]2}

12-{3-4}

12-(-1)

12+1

13

Answer: -39 is the answer

Step-by-step explanation:

Answer:

conditional

Step-by-step explanation:

Answer:

Apples

Step-by-step explanation:

The value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

We have,

HSD test for 6 groups,

And,

Subjects for HSD test = 6,

And,

α = 0.01

And,

The HSD test means Honestly Significant Difference test that determines whether the relationship between two data sets is statistically significant, i.e., used to check differences among sample way for significance.

So,

Here,

K = 6 ,

And,

Degree of freedom = 6 × 6 - 6 = 30,

And,

From the HSD table,

Q-critical i.e. QCRIT= 5.24 at level = 0.01

So,

QCRIT is 5.24.

Hence we can say that the value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

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