root(3, 148 * 200) ; evaluate correct to three decimal places​

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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Answer:

a.) 70*

b.) 60*

Step-by-step explanation:

a.) An isosceles triangle has two angles that are equal. The one other angle is 40*, meaning you have to subtract that from 180 and then divide by 2.

b.) An equilateral triangle has three equal angles. Divide 180 by 3.

The measure of the angle ∠Q and angle ∠M will be 80° and 60°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

In the first case, the triangle is an isosceles triangle. Then the two angles will be congruent. Then the equation is given as,

∠Q = ∠S                                  ...1

∠Q + ∠R + ∠S = 180°              ...2

From equations 1 and 2, then we have

∠Q + ∠Q + 40° = 180°

2∠Q = 180° - 40°

∠Q = 140° / 2

∠Q = 80°

In the second case, the triangle is an equilateral triangle. Then all the angles of the equilateral triangle are congruent.

∠P = ∠M = ∠N                         ...3

∠P + ∠N + ∠M = 180°              ...4

From equations 3 and 4, then we have

∠M + ∠M + ∠M = 180°

3∠M = 180°

∠M = 60°

The measure of the angle ∠Q and angle ∠M will be 80° and 60°, respectively.

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The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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There can only be two electrons in the s sublevel because it has only one orbital. With three orbitals, the p sublevel may hold a maximum of six electrons.

Orbitals can be found in the sublevels. The likelihood of an electron being present in an orbital is high. A region where the electrons reside is said to be an orbital. In one orbital maximum, there may be two electrons. There can only be two electrons in the s sublevel because it has only one orbital.

here

There can only be two electrons in the s sublevel because it has only one orbital. With three orbitals, the p sublevel may hold a maximum of six electrons.

There can be a maximum of 10 electrons in the d sublevel because it has 5 orbitals. With 7 orbitals and a maximum capacity of 14 electrons, the 4 sublevel.

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When we rotate a figure 90° counterclockwise each point changes thorugh the following rule.

then, since the initial coordinates of the figure are given, apply the transformation to each point

If we look at the flags shown, the correct ubication of the flag is:

Answer:-800

Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x

Answer:

-800

Step-by-step explanation:

since you need to mutiply first,

10 x 10 +  100 - 1000 = X

100 + 100 - 1000 = X

200 - 1000 = X

-800 = X

hope it helps!!!

Answer:

the answer would be 1.82

Step-by-step explanation:

it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60

Answer:

$0.55 Hope this helps!!!!!!!

Step-by-step explanation:

Remember that is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

The difference of the expression is as follows:

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4) = x - 19

The difference of the expression can be found when we combine the like terms.

Therefore,

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)

6y⁴ + 3y² - 7  - 12y⁴ + y² - 5

6y⁴ - 12y⁴ + 3y² + y² - 7 - 5

- 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4)

3x - 15 - 2x - 4

3x - 2x - 15 - 4

x - 19

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Answer:

6 ducks and 13 horses

Step-by-step explanation:

x ducks

19-x horses

2x+4(19-x)=64

2x+76-4x=64

4x-2x=76-64

2x=12

x=6 ducks

19-x = horses

19-6=13 horses

6 ducks and 13 horses

Answer:

10 + 6C

Step-by-step explanation:

C = the number of CDs Alyssa has

Alyssa has C CDs

Fran has five more than three times as many CDs as Alyssa.

Fran has 5 + (3 * C)

Fran has (5 + 3C) CDs

Jessica has twice as many CDs as Fran

Jessica has 2 * (5 + 3C) CDs

Jessica has 10 + 6C CDs

Monique can choose 20 different sets of 3 of the books

The set of books she can select from the library is an illustration of combination (or selection)

The expression that represents combination is represented as:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

Where:

So, we have:

\(^6C_3 = \frac{6!}{(6 - 3)!3!}\)

Evaluate the differences

\(^6C_3 = \frac{6!}{3!3!}\)

Evaluate the factorials

\(^6C_3 = \frac{720}{6 \times 6}\)

Evaluate the products

\(^6C_3 = \frac{720}{36}\)

Divide 720 by 36

\(^6C_3 = 20\)

Hence, Monique can choose 20 different sets of 3 of the books

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Answer:

it is in fact 20 (for khan)

Step-by-step explanation:

credit goes to person above

Answer: number one is 24

Step-by-step explanation: all you have to do is just minus i’m pretty sure and for the negative ones add the negative number and the other number together. If they are both negative then just act like the negative sign is not there and add the sign back after you find the distance

Answer:

7.2% ...................

The height of the building is approximately 86.60 meters.

To find the height of the building, we can use trigonometric ratios, specifically the tangent function.

In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.

Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).

Using the tangent function, we have:

tan(60 degrees) = h/50

Simplifying this equation, we can solve for h:

h = 50 × tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

Therefore, h = 50 × 1.732 ≈ 86.60 meters.

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Answer:

Step-by-step explanation:

y+11<30

subtract 11 from both sides

y+11-11<30-11

y< 19

choice A

Step-by-step explanation:

y + 11 < 30       Original inequality

y + 11 - 11 < 30 - 11    Isolating the variable

y < 19                The answer / Simplification

The answer is A, I hope this helps!!!

If (x, y, z) and (x, y, z) are two distinct solutions, there must be an infinite number of solutions along the line passing through them. If 25 planes meet at two points, they meet at a common point i.e., the plane is concurrent.

If (x, y, z) and (x, y, z) are two solutions to a system of linear equations, then the line passing through these two points is also a solution. This is because the line passing through two points can be parameterized by the equation (x, y, z) = t(x1, y1, z1) + (1 - t)(x2, y2, z2) for some value of t between 0 and 1, where (x1, y1, z1) and (x2, y2, z2) are the two given solutions.

If 25 planes meet at two points, then those two points must lie on all 25 planes. Therefore, the planes must be concurrent (i.e., they meet at a common point). By the Fundamental Theorem of Linear Algebra, the number of equations in a system of linear equations must be greater than or equal to the number of unknowns for there to be a unique solution.

In this case, since there are only two points of intersection among the 25 planes, the system of equations cannot have a unique solution and must either have no solutions or an infinite number of solutions.

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Answer:

0

Step-by-step explanation:

i^2+1

We know that i^2 = -1

-1 +1

0

It takes 35 days for Dave to use 2600 staples in which would lead to Dave's ability towards world domination.

Given that, a stapler has max capacity of 560 staples.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Every 10 staples one gets stuck resulting in one being not used

So, out of 560 staples 56 are not being not used.

So, remaining stapes are 560 - 56 = 504

Number of staples used for 56 documents

= 56×6 = 336

Total number of staples used for 56 documents = 336+34

= 370

Number of staples used for a day = 370/5

= 74

Number of days take for Dave to use 2600 staples

= 2600/74

= 35.13 ≈ 35

Therefore, it takes 35 days for Dave to use 2600 staples in which would lead to Dave's ability towards world domination.

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To simplify a radical expression, you can use a few different techniques. One common technique is to factor the expression under the radical sign (the radicand) as much as possible.

Another technique you can use is to use the properties of radicals. For example, you can use the product property of radicals to combine like terms under the radical sign

You can also use the quotient property of radicals to divide out a factor under the radical sign. Finally, some radicals are unsimplifiable by these methods. You can approximate a value of radical or try to get it in a form of fraction with radical.

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Answer:

a rational number is an expression in which the numerator and denominator are polynomials. this is useful to know because often polynomials can be factorized. besides, if there is a variable in the denominator, there will be one or more restrictions.

example: (4x²-25)(2x+5) is simplified to 2x-5 with restrictions x≠-5/2

Answer:

1.25

Step-by-step explanation:

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

75.9

Step-by-step explanation: