find the square root of 196 with process.​

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer:88888880.8

Step-by-step explanation:

0.9

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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If you think that a 1% change in X leads to a certain percent change in Y, you may want to use a logarithmic transformation.

Specifically, you could take the natural logarithm of both X and Y, and then regress ln(Y) on ln(X). This will allow you to estimate the elasticity of Y with respect to X, which measures the percentage change in Y for a 1% change in X. Another option could be to use a power transformation, such as taking X to the power of a certain exponent (e.g. X^0.5) and regressing Y on this transformed X variable.

The choice of functional form will depend on the specific relationship between X and Y, as well as the assumptions and goals of your analysis.

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Answer:

Therefore,

(sin theta + cos theta) / [cos theta (1 - cos theta)] = sec theta + csc theta

= [sqrt(1 - cos^2 theta) + cos theta] / [cos theta (1 - cos theta)]

Step-by-step explanation:

We know that:

tan theta = sin theta / cos theta

Using this, we can say:

8/15 = sin theta / cos theta

We also know that:

sin^2 theta + cos^2 theta = 1

Rearranging, we get:

sin^2 theta = 1 - cos^2 theta

Taking the square root, we get:

sin theta = sqrt(1 - cos^2 theta)

Putting the value of sin theta in terms of cos theta in the given expression, we get:

(sin theta + cos theta) / [cos theta (1 - cos theta)]

= [sqrt(1 - cos^2 theta) + cos theta] / [cos theta (1 - cos theta)]

= [sqrt(1 - cos^2 theta) / cos theta] + 1 / (1 - cos theta)

= sec theta + csc theta

Now, we need to find the value of sec theta and csc theta in terms of cos theta. We know that:

sec theta = 1 / cos theta

csc theta = 1 / sin theta

= 1 / sqrt(1 - cos^2 theta)

Substituting these values in the expression we derived earlier, we get:

(sec theta + csc theta) = 1/cos theta + 1/ sqrt(1 - cos^2 theta)

= [sqrt(1 - cos^2 theta) + cos theta] / [cos theta (1 - cos theta)]

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are \(\overline {KN}\), \(\overline {LM}\) and \(\overline {KL}\), \(\overline {NM}\)

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are \(\overline {KN}\), \(\overline {NM}\) and \(\overline {KL}\), \(\overline {LM}\)

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

The distance between the Woozy Wheel and the Roller Rail is 13 units.

To determine the distance between the Woozy Wheel and the Roller Rail, we can use the distance formula in the coordinate plane.

The coordinates of the Woozy Wheel are (-14, 1), and the coordinates of the Roller Rail are (-2, -4).

Using the distance formula, the distance (d) between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the Woozy Wheel and the Roller Rail into the formula:

d = √((-2 - (-14))² + (-4 - 1)²)

= √(12² + (-5)²)

= √(144 + 25)

= √169

= 13

Therefore, the distance between the Woozy Wheel and the Roller Rail is 13 units.

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The equation of the plane through the point (6, 0, 5) and perpendicular to the line x is y = 0.

To find the equation of a plane, we need a point on the plane and a normal vector perpendicular to the plane.
Given the point (6, 0, 5) and the line x, we need to find a vector that is perpendicular to the line x.
Since the line x is a one-dimensional object, any vector with components in the y-z plane will be perpendicular to it.

Let's choose the vector (0, 1, 0) as our normal vector.
Now, we can use the point-normal form of the equation of a plane to find the equation of the plane:
(x - 6, y - 0, z - 5) · (0, 1, 0) = 0
Simplifying, we get:
y = 0
Therefore, the equation of the plane through the point (6, 0, 5) and perpendicular to the line x is y = 0.

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Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off

Answer:

u can download the gauthmath app it's very helpful i PROMISE :)

Answer: Answer: −9±√−255/ 24

Step-by-step explanation:

12a2+9a+7=0

a=12, b=9, c=7

12a^2+9a+7=0

a=12, b=9, c=7.

−b±√b2−4ac/ 2a

−(9)±√(9)2−4(12)(7)/ 2(12)

The two consecutive odd integers are 9 and 11. 1/8 plus 1/11 equals 12/35.

The sum of the reciprocals of two consecutive odd integers is 12/35.

1/x + 1/(x+2) = 12/35

(x+2)/(x*35) + (x/35) = 12/35

x + 2 + x = 12

2x = 10

x = 5

5 and 7 are the next two odd numbers.

The sum of the reciprocals of two consecutive odd integers is 12/35. To find the two integers, we need to solve for x. Since the two integers are consecutive and odd, the equation

1/x + 1/(x+2) = 12/35

can be used to find x. We can then multiply both sides of the equation by x*35 and simplify it to (x+2)/(x*35) + (x/35) = 12/35.

By subtracting x/35 from both sides and then adding 2 to both sides, we can get the equation

x + 2 + x = 12.

By solving the equation 2x = 10, we find that x = 5. This means that the two consecutive odd integers are 5 and 7. This can also be verified by checking that 1/5 + 1/7 is equal to 12/35.

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Answer:

g(- 2) = 11

Step-by-step explanation:

To evaluate g(- 2) substitute x = - 2 into g(x) , that is

g(- 2) = 3(- 2)² - 1 = 3(4) - 1 = 12 - 1 = 11

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer:

the answer is 3

I hope it helps ☺️

The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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The recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

Any term of a series can be defined by its preceding term in a recursive formula (s).

For instance: An arithmetic series has the recursive formula a = an-1 + d.

An = An-1r is the recursive formula for a geometric sequence.

Because each phrase, an, goes back to the preceding term, an1, the formula an=2an1+3 is recursive.

According to this equation, any term we want is equal to two times the previous term plus three.

This sequence's first three terms are 4, 11, and 25.

So, we have the sequence:

-44, -46,-48, ...

Now, we have d that is:

= -48 - (-46)

= -48 + 46

= -2

The 1st term would be: a1 = -44

Then, the correct formula would be: an = -44aₙ₋₁ - 2

Therefore, the recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

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The probability that the person reaches 10 before he reaches -5 is 0.475.

The probability of reaching 10 before reaching -5 in a random walk can be found using the concept of expected number of steps to reach a state. In this case, we can calculate the expected number of steps required to reach 10 and -5, and then compare the results.

E10 = 1 + 1/2 × E10 + 1/2 × E9

E9 = 1 + 1/2 × E10 + 1/2 × E8

Substituting the expression for E9 into the equation for E10, we get:

E10 = 1 + 1/2 × E10 + 1/2 × (1 + 1/2 × E10 + 1/2 × E8)

E10 = 1 + 3/4 × E10 + 1/4 × E8

Eliminating E10, we get:

E8 = 4 × (E10 - 1)

Substituting the expression for E8 into the equation for E10, we get:

E10 = 1 + 3/4 × E10 + 1/4 × 4 × (E10 - 1)

E10 = 20

So the expected number of steps to reach 10 is 20.

E-5 = 1 + 1/2 × E-4 + 1/2 × E-5

E-4 = 1 + 1/2 × E-5 + 1/2 × E-3

Substituting the expression for E-4 into the equation for E-5, we get:

E-5 = 1 + 1/2 × (1 + 1/2 × E-5 + 1/2 × E-3) + 1/2 × E-5

E-5 = 1 + 3/4 × E-5 + 1/4 * E-3

Eliminating E-5, we get:

E-3 = 4 × (E-5 - 1)

Substituting the expression for E-3 into the equation for E-5, we get:

E-5 = 1 + 3/4 × E-5 + 1/4 × 4 × (E-5 - 1)

E-5 = 26

So the expected number of steps to reach -5 is 26.

The probability of reaching 10 before reaching -5 is calculated by dividing the expected number of steps required to reach 9 (E9) by the expected number of steps required to reach 10 (E10). The reason for this is that the person will reach 9 after taking 19 steps, which is one step short of reaching 10. Hence, we can consider reaching 9 as an intermediate milestone before reaching 10.

P(10 before -5) = E9 / E10

Since the person has a 1/2 probability of moving one step in either direction, the expected number of steps required to reach 9 (E9) is given by:

E9 = 1 + 1/2 * E10 + 1/2 * E8

E9 = 1 + 1/2 * 20 + 1/2 * E8

E9 = 19/2

So, the probability of reaching 10 before reaching -5 is given by:

P(10 before -5) = E9 / E10

P(10 before -5) = 19/2 / 20

P(10 before -5) = 19/40

P(10 before -5) = 0.475

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Answer:

\( \frac{ - 5}{6} \)

Step-by-step explanation:

multiply the two fractions ie

\( \frac{ - 2}{3} \times \frac{5}{4} \\ = \frac{ - 5}{6} \)

Answer:

-(5/6)

Step-by-step explanation:

1) reduce -1/3 * 5/2

2) multiply - 5/6

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.

Ordered pairs for equations y = -x + 3 , y = (1/2)x - 1 and x + y = 2 are

(-1,4) and (3,0), (-2, -2) and (4,1) and (-3,5) and (3,-1) respectively. Graph is attached below.

A line is a geometry object characterized under zero width object that extends on both sides. A straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called a straight line.

General equation of line

y = mx + c

where m is slope and c is y - intercept.

Given,

1. y = -x + 3

putting x = -1

y = - -1 + 3

y = 4

Point is (-1 , 4)

Putting x = 3

y = -3 + 3

y = 0

Point is (3 , 0)

1. y = (1/2)x - 1

putting x = -2

y = (1/2)(-2) - 1

y = -2

Point is (-2 , -2)

Putting x = 4

y = (1/2)(4) - 1

y = 1

Point is (4 , 1)

3. x + y = 2

putting x = -3

-3 + y = 2

y = 2 + 3

y = 5

Point is (-3 , 5)

Putting x = 3

3 + y = 2

y = 2 - 3

y = -1

Point is (3 , -1)

Graph of the lines can be drawn as following:

Hence, (-1,4) and (3,0) are ordered pairs for equation 1, , (-2, -2) and (4,1) are ordered pairs for equation 2 and (-3,5) and (3,-1) are ordered pairs for equation 3.

Graph is attached below.

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Answer:

3(3a+4)

Step-by-step explanation:

Answer:

I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same

Step-by-step explanation:

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:30, 75, 60.

Step-by-step explanation:

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

The car travels 660 meters after 10 seconds of deceleration.

To solve this problem, we can use the formula: distance = initial velocity * time + (1/2) * acceleration * time^2. The initial velocity is 114 m/s, the time is 10 seconds, and the acceleration is -6 m/s^2 (negative because it represents deceleration). Plugging these values into the formula, we get:

distance = 114 * 10 + (1/2) * (-6) * 10^2

distance = 1140 - 300

distance = 840 meters

Therefore, the car travels 840 meters after 10 seconds of deceleration.

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