a 13 foot ladder is leaning against the side of a house when its base starts to slide away. by the time the base is 12 feet from the house, the base is moving at a rate of 5 feet per second.

Answer:

d = 10°

Step-by-step explanation:

7d - 4 + 24 = 90

7d + 20 = 90

7d = 90 - 20

7d = 70

7/7 d = 70/7

d = 10

Answer: Both points are not a solution.

Step-by-step explanation:

        This says that the graph will be every y-value less than -1. Both 5 (in the point (-2, 5)) and 2 (in the point (6, 2)) are greater than -1, meaning they are both not a solution.

        See attached for a graph with the coordinate points graphed as well. Since these points are not in the shaded region, they are not solutions.

Refer to the attached photos. I would appreciate a rate :)

3x2-3(y+1)+9x2+12; reflection in the y-axis, a vertical stretch by a factor of 3, and a translation 1 unit down

The reflection in the y-axis can be achieved by changing the sign of the x-terms while leaving the y-term unchanged. Afterwards, the function needs to be stretched vertically by a factor of 3. This means that all terms will be multiplied by 3. Lastly, the function requires a translation 1 unit down. This can be done by adding a -1 to the y-term. Therefore, the final equation is 3x2-3(y+1)+9x2+12 which includes the reflection in the y-axis, vertical stretch by a factor of 3, and translation 1 unit down.

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For the given isosceles triangle when we solve m < 2 = 12x - 4 we get the value of x = 4.5 degrees.

It is known that two sides are equal so it is a isosceles triangle so the two angles are equal, that is

m<2 = 50

50 = 12x - 4

50 + 4 = 12x

54 = 12x

Divide by 12 on both sides

54 / 12 = 12 x / 12

x = 54 / 12

= 27 / 6

= 9 / 2

= 4.5 degrees

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The size of the sample after two hours would be 682. This is calculated using the formula N(t) = N(0) * e^(rt), where N(t) is the number of bacteria after t hours, N(0) is the initial number of bacteria, r is the growth rate parameter (in this case 0.5 per hour) and t is 2 hours. Therefore, N(2) = 682.

The transformation from the parent function is a translation by 8 units right and 4 units up

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

f(x) = x³

g(x) = (x − 8)³ + 4

First, we have the transformation to be:

From f(x) = x³ to f'(x) = (x − 8)³

This means the function is translated right by 8 units

Next, we have:

From f'(x) = (x − 8)³ to g(x) = (x − 8)³ + 4

This means the function is translated up by 4 units

Hence, the transformation is 8 units right and 4 units up

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When we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating the above statement is False.

Regression analysis is a group of analytical techniques used to measure the relationships between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

Models that evaluate the connection between a dependent variable and an independent variable include simple linear regression. The following equation represents the simple linear model:

Y = a + bX + ϵ

Regression analysis is the most secure method for time series forecasting since it involves extrapolation.

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Answer:

9x-63

Step-by-step explanation:

9*(x-7)

9x-63

No, h is not a vector space. It fails to satisfy property (b), closed under vector addition.

For a set to be a vector space, it must satisfy three properties: contains the zero vector, closed under vector addition and closed under multiplication by scalars.

For a set to be closed under vector addition, the sum of any two vectors in the set must also be in the set. In this case, the set h contains the points (s, s-1).

When two points are added, the result is (2s, 2s-2), which is not in the set h. Therefore, h fails to satisfy property (b) and is not a vector space.

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On solving the provided question, as Given, n = 200, x = 94, [tex]p^{'} = x/n 94/200 = 0.47[/tex] and the answer is 0.91 < p < 0.53

A formula is a statement that the values ​​of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".

Given, n = 200, x = 94, [tex]p^{'} = x/n 94/200 = 0.47[/tex]

[tex]1-\alpha = 0.9\\\alpha =1.\\[/tex]

confidences interval for p :-

(0.47 - 1.695 X [tex]\sqrt{\frac{0.47(1 - 0.47)}{200} }[/tex] , 0.47 + 1.695 X [tex]\sqrt{\frac{0.47(1 - 0.47)}{200} }[/tex])

(0.91 , 0.53 )

0.91 < p < 0.53

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Using the sine ratio with the angle of depression, the length of the wire is 122.63m

The angle of depression is formed when the observer is higher than the object he/she is looking at. When an observer looks at an object that is situated at a distance lower than the observer, an angle is formed below the horizontal line drawn with the level of the eye of the observer and line joining object with the observer’s eye. Whereas the angle of elevation is the angle formed if a person stands on the ground and looks on the object kept above the ground at a height above the height of the person. This is the basic difference between the two angles. Both the angles are calculated by using the concept of trigonometry.

Using trigonometric ratio;

Using the sine angle ratio;

sin θ = opposite / hypothenuse

sin 58 = 104 / AC

AC = 104 / sin 58

AC = 122.63m

The length of the wire is 122.63m

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Answer:

  (b)  0.058 or 5.8%

Step-by-step explanation:

Given a normal distribution with mean 10.72 and standard deviation 0.14, you want the probability that a value is less than 10.5.

A suitable probability calculator needs to know the mean, standard deviation, and set of values of interest. Here, ...

  mean = 10.72

  standard deviation = 0.14

  P(X < 10.5)

The calculator shows it to be 0.058, or 5.8%.

If the angles are complementary, the value of d is C. d = 25.

Complementary angles are two angles whose measures add up to 90° . In the figure below, ∠1 and ∠2 are complementary. Two angles need not be adjacent to be complementary. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles

In this case, it will be:

25 + 3d - 10 = 90

3d + 15 = 90

Collect like terms

3d = 90 - 15.

3d = 75.

Divide

d = 75/3

d = 25

The correct option is C.

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Answer:

cos(π/2)+isin(π/2)

Step-by-step explanation:

hopefully that's the answer you're looking for, haven't done problems like this in a while-

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x= 101°.

Theory of triangles states that the sum of all inner angles of a triangle should equal 180°. Hence, you can make an equation that gives the missing value of "x" in this problem.

[tex]x+30+49=180[/tex]

[tex]x=180-30-49\\ \\x=101[/tex]

x= 101°.

The division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].

What is a long division of polynomials?

A long-division polynomial is an algorithm for dividing polynomials by another polynomial of the same or a lower degree. The long division of polynomials also consists of the divisor, quotient, dividend, and the remainder as in the long division method of numbers.

The given expression is (20x³ + 12x² + 17x - 17) ÷ (5x² - 2x)

[tex]=\frac{20x^3+12x^2+17x-17}{5x^2-2x}\\\\=4x+\frac{20x^2+17x-17}{5x^2-2x}\\\\=4x+4+\frac{25x-17}{5x^2-2x}\\[/tex]

Hence, the division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].

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The question mentions muted group theory, which is a kind of Communication Theory. The answer is option C, which changes linguistic systems that make it more difficult for women to be heard.

A verbal system is a language taken as a combination of its corridor. A verbal system can also relate to a set of choices that druggies of language have in contriving rulings.

Muted group proposition is the introductory idea, articulated by anthropologists Ardener and Ardener, that in every society there are artistic groups who are traditionally muted — given lower access than members of the dominant groups to public converse and to having their individual and community enterprises heard.

Muted group proposition is the introductory idea, that in every society there are artistic groups who are traditionally muted — given lower access than members of the dominant groups to public converse and to having their individual and community enterprises heard.

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Answer:

Step-by-step explanation:

use (Y2-Y1)/(X2-X1)

(7-2)/(0-(-5))=5/5=1

y=1x+b is your equation with value b as the y intercept.
Plug in a point into this and solve for b

7=1(0)+b
7=b

final equation is y=x+7

A is the answer

Answer:

Geometric mean: 12.961481396816

For the data in the given set , the mean is 7.6  , the median is 8.15  and the median is 10.1   .

In the question ,

the data in the set is given as 10.1 , 12.3 , 2.4 , 10.1 , 4.5 , 6.2  .

on arranging data set in ascending order ,

we get , 2.4 , 4.5 , 6.2 , 10.1 , 10.1 , 12.3  .

the sum is = 45.6

the mean is = sum /(number of terms)

= 45.6/6

= 7.6  

the data has 6 numbers of terms

So ,the median will be (3rd term + 4th term)/2

= (6.2 + 10.1)/2

= 16.3/2

= 8.15

the term 10.1 occurs most number of time that is two times .

So , the mode is 10.1 .

Therefore , the mean is 7.6 , median is 8.15 and mode is 10.1   .

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Answer:b,d

Step-by-step explanation:

Answer:

11 - not enough information

12 - yes, Angle-Angle-Side (AAS)

13 - yes, Side-Angle-Side (SAS)

14 - yes, Angle-Side-Angle (ASA)

15 - yes, ASA

16 - yes, Side-Side-Side (SSS)

17 - yes, ASA

18 - yes, SSS

19 - no (different from "not enough information")

20 - yes, AAS

Step-by-step explanation:

11 - 1 pair of congruent sides is given; can conclude 1 pair of angles is ≅ by vertical angles; need 3 parts to prove congruence

12 - 1 pair of sides and a pair of angles given ≅; can show vertical angles ≅

13 - the side that's shared by the two triangles is the second ≅ side

14 - in addition to what's given, can show vertical angles ≅

15 - in addition to what's given, can show vertical angles ≅

16 - all given

17 - in addition to what's given, can show shared side ≅

18 - ..., shared side

19 - the congruent parts are not in the same order on each triangle

20 - all given

The linear regression equation between educational attainment (in years of higher education) and annual salary (in $1,000s) be

Salary =  84 - 11×Education

Given, a social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals.

we have to find the sample regression equation for the given model

Salary = β0 + β1Education

On using the different values of salary and education, we get

for salary = 40 and education = 4

40 = β0 + 4β1

for salary = 73 and education = 1

73 = β0 + β1

On subtracting both the equations, we get

33 = -3β1

β1 = -11

On substituting the value of β1, we get

40 = β0 + 4(-11)

β0 = 40 + 44

β0 = 84

So, the regression equation be

Salary =  84 - 11×Education

Hence, the regression equation be

Salary =  84 - 11×Education

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The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.

We are given that;

Angles VUW and ZXY are congruent.

Angles UWV and XZP are congruent.

Angles UVW and ZYX are congruent.

Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.

Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .

The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .

Therefore, the triangles UVW and XYZ are similar but not congruent.

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Answer:

B. They are similar, but not congruent

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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The probability of event A occurring is 1/2, the probability of event B occurring is 1/3, and the probability of event C occurring is 1/6.

in order for a sum of two dice to be even, the numbers on the two dice must add up to an even number. The possible combinations of two dice that add up to an even number are (1,3), (3,1), (2,4), (4,2), (5,5). Therefore, the probability of event A occurring is 1/2.

In order for the sum of two dice to be at least 10, the numbers on the two dice must add up to 10, 11, 12. The possible combinations of two dice that add up to 10, 11, 12 are (4,6), (6,4), (5,5), (5,6), (6,5). Therefore, the probability of event B occurring is 1/3.

In order for the red die to come up 5, the number on the other die does not matter. Therefore, the probability of event C occurring is 1/6.

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Total hours worked:           $40

Wage for Week:                 $238

FICA Tax (7.65%):               $18.21

Federal Tax (from Table):    $41.60

State Income Tax (at 3%):    $7.14

City Income Tax (1.5%):        $3.57

Total Tax:                            $70.52

Paycheck after Taxes:         $167.48

Answer:

Step-by-step explanation:

its b