simplify completely 3x=18 divided by 18

Answer:

25°

Step-by-step explanation:

Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:

∠DBC + ∠ABD = 180°

130 + ∠ABD  = 180°

∠ABD = 180° - 130°

∠ABD = 50°

∠ABD  is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).

The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW

Since E is the interior of ∠ABD, then:

∠ABD = ∠EBA + ∠DBE

But ∠EBA = ∠DBE

∠ABD = 2∠EBA

50 = 2∠EBA

∠EBA = 25°

Answer:

Answer:

115

Step-by-step explanation:

Answer:

plus minus

Step-by-step explanation:

Answer:

-Symbol: ±

-Symbol Name: plus - minus

-Meaning / definition:  both plus and minus operations

~~~~~~~~~~~~~~~~~~~

-Example: 3 ± 5 = 8 or -2

                 3+5=8

                     or

                 3-5=-2

Answer:

$38.50

Step-by-step explanation:

$700 times 0.055= 38.50

Answer:

Step-by-step explanation:

None of the other choices

Answer:

b and D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that is equivalent to 32x - 48 are,

-4(-8x - 12)

4(8x - 12)

8(4x - 6)

Options A, B, and D are the correct answers.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

32x - 48

A.

-4 (-8x - 12)

= (-4 x - (8x)) - (-4 x -12)

= 32x - 48

B.

4 (8x - 12)

= 32x - 48

C.

8(-4x + 6)

-32x + 48

D.

8 (4x - 6)

32x - 48

Thus,

The expression that is equivalent to 32x - 48 are,

-4(-8x - 12)

4(8x - 12)

8(4x - 6)

Options A, B, and D are the correct answers.

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The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.

In this question we know the coordinates of the three vertices of the triangle, whose image must be generated by combining reflection across y-axis and translation, two kinds of rigid transformations, whose formulas are summarized below:

Reflection across y-axis

P'(x, y) = P(x, y) + (- 2 · p, 0)                (1)

Translation

P'(x, y) = P(x, y) + T(x, y)                      (2)

Where:

If we know that A(x, y) = (1, - 3), B(x, y) = (5, - 1) and C(x, y) = (2, - 5), then the final coordinates are:

Reflection across y-axis

A'(x, y) = (1, - 3) + (- 2, 0)

A'(x, y) = (- 1, - 3)

B'(x, y) = (5, - 1) + (- 10, 0)

B'(x, y) = (- 5, - 1)

C'(x, y) = (2, - 5) + (- 4, 0)

C'(x, y) = (- 2, - 5)

Translation

A''(x, y) = (- 1, - 3) + (4, 5)

A''(x, y) = (3, 2)

B''(x, y) = (- 5, - 1) + (4, 5)

B''(x, y) = (- 1, 4)

C''(x, y) = (- 2, - 5) + (4, 5)

C''(x, y) = (2, 0)

The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.

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More than 93 percent of all blank coupons are distributed as freestanding inserts in newspapers.

What is percent?

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Answer:

\(32.9 \div 100 = 0.329cm\)

Step-by-step explanation:

When you move from m to cm you divide by 100

Answer:

B

Step-by-step explanation:

you have probably finished the quiz by now but anyway

so first flip the picture so that u see the cylinder standing on its base

12 is the diameter and 8 the height

12/2 = 6=radius

finally u do

πr\(r^{2}\)h

3.14*\(6^{2}\)*8

**i simplified π so the answer will be 904.32**

please vote if you found this helpful :)

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Step-by-step explanation:

Total Angle in a triangle is 180°

so D = 140 + 25 = 165°

D = 190° - 165° = 15°

Your answer is 15°.

Answer:

angle d = \(\boxed{15}^ {\circ}\)

Step-by-step explanation:

The angles in a triangle add up to 180°.

∴ ∠d + 25° + 140° = 180°

⇒ ∠d + 165° = 180°

⇒ ∠d = 180° - 165°

⇒ ∠d = 15°

Answer:its either 59 or 490

Step-by-step explanation:

Answer:

28 30 34 42 or z v w x your welcome

Answer:

p=m*9+9

So 45/4=9

9*4=36

36+9=45

Check with table

5*9=45

45+9=54

6+9=54

63+9=63

7+9=63

63+9=72

So as you can se the equation is p=9*m+9

Hopes this helps!

Answer: 9/10

Step-by-step explanation:

The triangle is not a right-angled triangle.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

Three cities form a triangle.

Tom measures the distances between the three cities on a map.

The distances between the three cities are 45 miles, 56 miles, and 72 miles.

Let the triangle is a right-angled triangle.

So, by Pythagoras' theorem,

√{(45)² + (56)²},

= √5161

= 71.8 < 72.

Therefore, our assumption is wrong.

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Answer:

D. 106m2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Answer:

12 is the slope of the graph!

Step-by-step explanation:

y=mx+b

m represents the slope

So, 12 is your slope in the graph

b represents the y-intercept

So, -19 is your y-intercept in the graph

Therefore, your answer to your question the slope is 12.

Hope this helps!

The [h*] in the given solution is 1.84 x 10^-10 M. It is important to note that this value indicates the concentration of hydronium ions (H3O+) in the solution, which is also known as the acidity of the solution.

The [h*] in a solution can be calculated using the formula Kw = [h*][oh-], where Kw is the ion product constant of water, which is equal to 1.0 x 10^-14 at 25°C. By substituting the given value of [oh-] = 5.42 x 10^-5 m into this equation, we can solve for [h*] as follows:

Kw = [h*][oh-]
1.0 x 10^-14 = [h*] x 5.42 x 10^-5
[h*] = 1.0 x 10^-14 / 5.42 x 10^-5
[h*] = 1.84 x 10^-10 M

Therefore, the [h*] in the given solution is 1.84 x 10^-10 M. It is important to note that this value indicates the concentration of hydronium ions (H3O+) in the solution, which is also known as the acidity of the solution. A lower [h*] value indicates a more basic solution, while a higher [h*] value indicates a more acidic solution.

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Answer:

The area of the land can be found using the formula A = 1/2*D1*D2, where D1 and D2 are the diagonals of the parallelogram. In this case, the area is 1/2*25*12 = 150m^2.

Answer:

180m^2

Step-by-step explanation:

since you said that two sides measure 12 and 17 and the diagonal is 25 you can use herons formula to find the area of each individual triangle then multiply it by two

using heron's formula it gives us the answer of 90 m^2 for one triangle so we can multiply it by two to get the area of the whole shape and 90x2=180m^2

Alice is moving along a line at some point, with respect to some fixed point not on the line, her distance is 10 units. After moving 3 units forward, her distance from the fixed point decreases to 8 units.

We can visualize this situation as Alice moving towards the fixed point which is located inside a circle centered on the line, and having a radius of 10 units. After Alice moves 3 units forward, she enters the circle with a radius of 8 units. This circle intersects with the line at two points, one of which is the position Alice is currently at. Alice then moves 3 more units forward, reaching the second point of intersection. Therefore, the distance between Alice and the fixed point after she moves 3 more units forward is 6 units.

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Using the properties of exponents, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

From the question, we are to evaluate the given expression

The given expression is

(y^3/2 x^-1/2)^4

Using the properties of exponents, we can simplify the expression as shown below

(y^3/2 x^-1/2)^4

[y^(3/2×4) x^(-1/2×4)]

[y^(12/2) x^(-4/2)]

(y^6 x^-2)

OR

(y⁶ x⁻²)

Hence, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

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The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:

- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.

To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)

Plugging in the values, we get:
Angle = tan^(-1)(5/12)

Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).

To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6

Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).

Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.

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Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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The condition that guarantees the property of the sample average is "independent trials: each sample is an independent event, drawn with replacement, or drawn from a population at least 10 times the sample size."

SRS (Simple Random Sample): This condition states that the sample is randomly chosen from the population. While random sampling is important for generalizability, it does not directly guarantee the property of the sample average.

Random sampling helps ensure that the sample is representative of the population, but it doesn't guarantee anything about the behavior of the sample average.

Large Sample or Normal Population: This condition states that the sample size is at least 30, or the population is approximately normal. The central limit theorem tells us that for large sample sizes (typically n ≥ 30), the distribution of the sample mean approaches a normal distribution, regardless of the population distribution.

This condition is relevant for inferential statistics, such as constructing confidence intervals or performing hypothesis tests. However, it is not necessary to guarantee the property of the sample average.

The condition of "independent trials" or "drawn from a population at least 10 times the sample size" ensures that each sample is an independent event. Independence means that the outcome of one sample does not affect the outcome of another sample.

This condition is crucial for the property of the sample average because it allows for the assumption of independence among the observations.

If the samples are drawn with replacement, it ensures independence because each selection is made independently of previous selections.

If the population size is at least 10 times the sample size and samples are drawn without replacement, it also ensures independence since the population is large enough for each selection to be considered independent.

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