An angle is 36⁰ less than its complement. What is the measure of the angle?

Answer:

12/20

Step-by-step explanation:

Cos is adjacent over hypotenuse

Sin is opposite over hypotenuse

Tan is opposite over adjacent

In this case, we have cosine so we would take the adjacent (12) over the hypotenuse (20), and that will be used to find the answer

Answer:

C. $72

Step-by-step explanation:

Answer:

Yeah

\( - 9( - 7) = 63 \\ 63 > 45 \\ thus \: - 7 \: can \: be \: one \: of \: the \: solutions\)

According to the chi square test, yes and at alpha 0.05 there is a significant difference in music preferred by the three restaurants' customers.

The term chi square test refers a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large.

Here we have given that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants. a random sample of 50 customers from each of three restaurants is selected. the customers are asked to indicate which of three music types: country, jazz, and classical they preferred

And we need to find results deviate significantly from what would be expected due to chance.

While we reading the given question, we know that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants.

And the number of samples = 50

When we convert it into the percentage then we get,

=> 50/1000

=> 0.05

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

dogs and birds..........

Answer:

So that it can run faster

Answer:

\(a = change \: in \: v \div time\)

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

Answer:

14.5

Step-by-step explanation:

The area of the rectangle is \((5)(6)=30\).

The areas of the three right triangles in the rectangle but not in \(\triangle JKL\) are 2.5, 10, and 3.

\(\implies [JKL]=30-2.5-10-3=14.5\)

The surface area of the box that has a length of 11.1 cm, a width of 12 cm, and a height of 19.9 cm is 1125.96 cm².

To find the surface area of the box, we need to calculate the areas of all six sides and then sum them up.

First, let's calculate the area of the bottom and top faces. Since the length and width are given, we can use the formula for the area of a rectangle: A = length × width.

So the area of the bottom and top faces is 11.1 cm × 12 cm = 133.2 cm² each.

Next, let's calculate the areas of the remaining four sides. We have two pairs of sides with the same dimensions:

11.1 cm × 19.9 cm and 12 cm × 19.9 cm. The areas of these sides are 220.89 cm² and 238.8 cm², respectively.

Now, sum up all six areas:

2 × 133.2 cm² + 2 × 220.89 cm² + 2 × 238.8 cm² = 1125.96 cm².

Therefore, the surface area of the box is 1125.96 cm². Remember to round your answer to the nearest hundredth.

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The positive externality of carpooling with friends is reduced traffic on the road. Hence, option C is the correct option.

Carpooling is a very useful method of reducing traffic as well as pollution and is quite simple as well. It involves the usage of only one common vehicle that can be used by people who commute to the same destination. It's helpful since it means a lot of people will use only one vehicle and hence, there will be less traffic and pollution.

In the given problem as well, since these friends are gonna carpool to work, they will use the same vehicle and so, lead to less traffic. So, option C is the correct option.

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Answer:

2(7n+2m)

2(7n+(5m-3m))

answer: 2(7n+2m)

The phase diagrams provide a visual representation of the system's behavior by plotting the vector field and trajectories in the x-y plane.

The given system of differential equations is described by:

\(˙x = a - x^2˙y = x - y\)

To find the equilibria, we set ˙x and ˙y equal to zero:

\(a - x^2 = 0 -- > x^2 = a -- > x = ±√ax - y = 0 -- > y = x\)

So, the equilibria are (±√a, ±√a).

Now let's analyze the behavior of the system for different values of 'a'.

For a > 0:

In this case, there are two real equilibria, (√a, √a) and (-√a, -√a). We can observe that (√a, √a) is a stable node, as the eigenvalues of the linearized system around this point have negative real parts. On the other hand, (-√a, -√a) is a saddle point, as the eigenvalues have opposite signs (one positive and one negative).

For a < 0:

In this case, there are no real equilibria since √a and -√a are imaginary. Therefore, the system has no equilibrium points.

To visualize the phase diagrams for a = 1 and a = -1:

For a = 1:

The system has two real equilibria, (1, 1) and (-1, -1). The point (1, 1) is a stable node, and (-1, -1) is a saddle point. The phase diagram would show trajectories converging towards (1, 1).

For a = -1:

Since a < 0, there are no equilibrium points, and thus the phase diagram would show no fixed points or trajectories.

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Answer:

{u,v} = {4,1}

Step-by-step explanation:

Answer:

this is %100 correct its D  

Step-by-step explanation:

if this is correct or you like it plz mark me as brainiest

Hence, there is 330 ml of lemonade in the special edition bottles.

The special edition bottles have 10% extra free, which means the total amount of lemonade in the special edition bottle is 100% (normal amount) + 10% (extra amount).

To calculate the amount of lemonade in the special edition bottles, we first need to determine the 10% of the normal amount (300 ml).

10% of 300 ml = (10/100) * 300 ml

= 30 ml

Therefore, the special edition bottles contain an extra 30 ml of lemonade.

To find the total amount of lemonade in the special edition bottles, we add the normal amount (300 ml) to the extra amount (30 ml):

Total amount of lemonade in special edition bottles = 300 ml + 30 ml

= 330 ml

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Answer:

ihkfdrjnhgbunt ui hvi8thugh ugood job :3

Step-by-step explanation:

Answer:

20% loss

Step-by-step explanation:

If the investment decreases by 50% during the first year, then it is 50% of its original value at the end of the first year, since 100% - 50% = 50%.

Calculate 50% of $12,000:

\(\implies \dfrac{50}{100} \times 12000 = 6000\)

Therefore, the value of investment at the end of the first year is $6,000.

If the investment increases by 60% during the second year, then it is 160% of its value at the end of year one, since 100% + 60% = 160%.

Calculate 160% of $6,000:

\(\implies \dfrac{160}{100} \times 6000=9600\)

Therefore, there has been a net loss since $9,600 is less than the original investment.

Percent Change

\(\sf Percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)

To calculate the actual percent loss of the original investment, use the percent change formula:

\(\implies \textsf{Percent change}=\dfrac{9600-12000}{12000} \times 100=-20\%\)

As the percent change is negative, this represents a loss.

Therefore, the actual percent loss of the original $12,000 investment is 20%.

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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Answer:

ΔABC≅ΔDEC by AAS

Step-by-step explanation:

You can use the AAS method of congruency.

Since you already have <BAC and <EDC congruent to eachother, and sides BC and EC congruent to each other, you only need that one remaining angle in between. <ACB can be proven congruent to <DCE by the Vertical Angles Theorem, and that gives you the AAS you need to prove that these two triangles are congruent

Hope this helped.

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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Answer:

C, 100 degrees

Step-by-step explanation:

180-80=100

The sample variance is 95.875/7.

To calculate the sample variance and sample standard deviation using the definitional formula, you need to follow these steps:

Calculate the squared deviations from the mean.

Sum up the squared deviations.

Divide the sum of squared deviations by (n - 1) for the sample variance, or by n for the population variance.

Take the square root of the variance to find the standard deviation.

Let's go through the calculations for the provided data set step by step:

Data set: 92, 84, 85, 93, 95, 89, 86, 91

Mean: 89.375

Step 1: Calculate the squared deviations from the mean:

Squared deviations: (2.625)^2, (-5.375)^2, (-4.375)^2, (3.625)^2, (5.625)^2, (-0.375)^2, (-3.375)^2, (1.625)^2

= 6.890625, 28.890625, 19.140625, 13.140625, 31.640625, 0.140625, 11.390625, 2.640625

Step 2: Sum up the squared deviations:

Sum of squared deviations = 6.890625 + 28.890625 + 19.140625 + 13.140625 + 31.640625 + 0.140625 + 11.390625 + 2.640625

= 114.7671875

Step 3: Calculate the sample variance:

Sample variance = Sum of squared deviations / (n - 1)

= 114.7671875 / (8 - 1)

= 114.7671875 / 7

= 16.3953125

Step 4: Calculate the sample standard deviation:

Sample standard deviation = √(sample variance)

= √(16.3953125)

= 4.052488554

Therefore, for the given data set, the sample variance is 16.3953125 and the sample standard deviation is approximately 4.0525.

If the largest value of 95 was misrecorded as 93, we need to recalculate the variance and standard deviation.

Data set with corrected value: 92, 84, 85, 93, 93, 89, 86, 91

Mean: 89.125 (recalculated mean without the misrecorded value)

Step 1: Calculate the squared deviations from the mean:

Squared deviations: (2.875)^2, (-5.125)^2, (-4.125)^2, (3.875)^2, (3.875)^2, (-0.125)^2, (-3.125)^2, (1.875)^2

= 8.265625, 26.265625, 17.015625, 15.015625, 15.015625, 0.015625, 9.765625, 3.515625

Step 2: Sum up the squared deviations:

Sum of squared deviations = 8.265625 + 26.265625 + 17.015625 + 15.015625 + 15.015625 + 0.015625 + 9.765625 + 3.515625

= 95.875

Step 3: Calculate the sample variance:

Sample variance = Sum of squared deviations / (n - 1)

= 95.875 / (8 - 1)

= 95.875 / 7

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The computation of the power shows that Natasha was right as the value gotten is 295hp.

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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Answer:

about 66% of games won

Step-by-step explanation:

they have played 30 games and won 20 and that is also written as 20/30 =2/3.

2/3 in a percentage form is about 66% or %66.6666

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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Answer:

1. -3

2. 0/4 or 0

3. -2/3

4. -4/-3

Step-by-step explanation:

Answer:

1. The slope is -3

2. The slope is -1

3. The slope is -1/2

4. The slope is 4/3

Answer:

Step-by-step explanation:

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

A cardioid is a mathematical curve that is commonly studied in geometry and calculus. It is defined by the equation r = 1 + cos(θ), where r is the radial distance from the origin and θ is the polar angle. The cardioid has a distinctive heart-shaped form, and it is a smooth curve that can have tangent lines at certain points.

Horizontal Tangent Line:

A horizontal tangent line is a tangent line that is parallel to the x-axis. To find the points on the cardioid at which there is a horizontal tangent line, we need to find the points where the derivative of the curve is equal to zero in the x direction. The derivative of r = 1 + cos(θ) with respect to θ is -sin(θ), and the derivative of r with respect to x is cos(θ). Setting these two derivatives equal to zero, we have:

-sin(θ) = 0

cos(θ) = 0

The first equation has a solution when θ = n * π, where n is an integer. The second equation has solutions when θ = (2n + 1) * π/2, where n is an integer. When θ = n * π, the cardioid is at its maximum value, and when θ = (2n + 1) * π/2, the cardioid is at its minimum value. These points correspond to horizontal tangent lines on the cardioid.

Vertical Tangent Line:

A vertical tangent line is a tangent line that is perpendicular to the x-axis. To find the points on the cardioid at which there is a vertical tangent line, we need to find the points where the derivative of the curve is equal to zero in the y direction. The derivative of r with respect to y is sin(θ), and setting this derivative equal to zero, we have:

sin(θ) = 0

This equation has solutions when θ = (2n) * π/2, where n is an integer. These points correspond to vertical tangent lines on the cardioid.

Singular Point:

A singular point is a point on the curve at which the curve is not smooth and its tangent line is undefined. To find the singular points on the cardioid, we need to find the points where the second derivative of the curve is equal to zero. The second derivative of r = 1 + cos(θ) with respect to θ is -cos(θ), and setting this derivative equal to zero, we have:

-cos(θ) = 0

This equation has solutions when θ = n * π, where n is an integer. These points correspond to singular points on the cardioid.

In conclusion, the points on the cardioid at which there is a horizontal tangent line are given by θ = n * π and θ = (2n + 1) * π/2. The points at which there is a vertical tangent line are given by θ = (2n) * π/2. The singular points are given by θ = n * π. These points can be used to study the properties and behavior of the cardioid in more detail.

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