Which of the following ordered pairs is a possible solution to the equation y = -2/3x - 4

Answers

Answer 1

The ordered pair that is the possible solution for the equation is (-6,0) (0,-4).

What is the Slope-intercept form of a linear equation?

The slope-intercept form of a linear equation takes the form y= mx + b.

Here:

Slope = mb = y-intercept

The function f(x) = y = [tex]\mathbf{-\dfrac{2}{3}x-4}[/tex]

[tex]\mathbf{y = -\dfrac{2}{3}x-4}[/tex]

The slope (m) = -2/3

The x-intercept is the value of x for which y = 0

x-intercept = (-6,0)

The y-intercept is the value of y for which x = 0

y-intercept = (0,-4)

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Related Questions

According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?
O Place compass at point D, and draw an arc that intersects the arc above DF.
1
O Place compass at point F, and draw an arc that intersects the arc above DF-
O Place compass at point P, and draw an arc above DF
O Place compass at point P, and draw an arc below DF

Answers

The next step in constructing a line perpendicular to a point on the line is A. Place a compass at point D, and draw an arc that intersects the arc above line DF.


Calculations and Parameters

To make a perpendicular line:

Draw a line segment like DFKeep the point on D and make an arc by increasing the length of the compassKeep the point on F and make an arc like same as beforeName the point as any meeting on the drawn arcConnect it to the point with P

Therefore, the next step would be to Place a compass at point D, and draw an arc that intersects the arc above line DF.

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3. What is the distance from (0,0) to (24,10) on the
coordinate plane?

Answers

[tex]\sqrt{(24-0)^{2}+(10-0)^{2}}=\boxed{26}[/tex]

Answer:

26

Step-by-step explanation:

√(24 - 0)2 + (10 - 0)2

= √(24)2 + (10)2

= √676 and that would equal

26

Suppose water was being drained at from a conical tank. The radius is decreasing at a rate of 2 inch per minute and the height is decreasing at 4 inches per minute. Find the change in the volume when the height is 5 inches and the radius is 6 inches.

Answers

The change in volume is -88π

Volume?

The volume is nothing but the amount of space occupied by a three-dimensional figure as measured in cubic units.

What is volume change?

Volume Change is defined as the variation in the existing volume of the service type which is provided by the Supplier under the Agreement

Given:

The radius is decreasing at 2 inches per minute

The height is given as decreasing at 4 inches per minute

So let [tex]\frac{dr}{dt}=-2[/tex] and

[tex]\frac{dh}{dt}=-4[/tex]

and we have radius r=6,

                     height h=5

The volume of the cone is represented by V as V=[tex]\frac{1}{3}\pi r^{2}h[/tex]

Then

[tex]\frac{dv}{dt}=\frac{\pi }{3}[r^{2}\frac{dh}{dt} +h*2r\frac{dr}{dt}][/tex]

[tex]=\frac{\pi }{3}[6^{2}(-4)+5*2(6)(-2)][/tex]

[tex]=\frac{\pi }{3}[36(-4)+5(12)(-2)]\\ =\frac{\pi }{3}[-144+(-120)]\\ =\frac{-264}{3}\pi \\ =-88\pi[/tex]

So the volume change is [tex]-88\pi[/tex]

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61. The true proportion p of people who give a favorable
rating to Congress is 8% with a margin of error of
1.5%. Describe this statement using an absolute
value equation.

Answers

Answer:

The expression for the statement using absolute value notation is [tex]$|p-0.08| \leq 0.015$[/tex].

Step-by-step explanation:

It is given in the question that the true proportion p of people who give a favourable rating to Congress is 8% with a margin of error of 1.5%. It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

The error margin for the hypothesis is 1.5% which implies the absolute difference between p and 8% should be less than or equal to 1.5%.[tex]$$|p-0.08| \leq 0.015$$[/tex]

a+a+b=14 b+b+c=08 a+b+c=18 b=

Answers

The value of b in the expression is -2.

How to find the variable in an expression?

a + a + b = 14

b + b + c = 8

a + b + c = 18

Therefore,

2a + b = 14

2b + c = 8

c = 8 - 2b

Hence,

a + b + 8 - 2b = 18

a - b = 18 - 8

a - b = 10

2a + b = 14

a - b = 10

3a = 24

a = 8

8 - b = 10

b = 8 - 10

b = -2

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Answer:

a = 8

b = -2

c = 12

Step-by-step explanation:

a + a + b = 14

2a + b = 14 ⇒ ( 1 )

b + b + c = 8

2b + c = 8 ⇒ ( 2 )

a + b + c = 18 ⇒ ( 3 )

First, let us make a as the subject in equation 1.

2a + b = 14

2a = 14 - b

[tex]a=\frac{14-b}{2} \\a = 7-\frac{b}{2}[/tex]   ⇒ ( 4 )

Let us make c as the subject in equation 2.

2b + c = 8

c = 8 - 2b ⇒ ( 5 )

Now it is clear for us that, we can replace a & c with ( 7 - b / 2 ) & ( 8 - 2b ) respectively.        

And now let us solve the equation 3 to find the value of b.

[tex]a+b+c=18\\\\7-\frac{b}{2} +b+8-2b=18\\\\Combine\: \:like\:\: terms.\\\\[/tex]

[tex]15-\frac{b}{2} -b=18\\\\\frac{15*2}{1*2} -\frac{b}{2}-\frac{b*2}{1*2}=18\\\\\frac{30}{2} -\frac{b}{2}-\frac{2b}{2}=18\\\\\frac{30-3b}{2} =\frac{18}{1} \\\\Use\:\: cross\;\: multiplication[/tex]

[tex]30-3b=18*2\\\\30-3b=36\\\\30-36=3b\\\\-6=3b\\\\-2 = b[/tex]

And now let us find  the value of a

For that, let us use the equation 1. There, we can replace b with ( -2 ) to find the value of a.

[tex]2a+b=14\\\\2a-2=14\\\\2a = 14+2\\\\2a=16\\\\a=8[/tex]

Now, let us find the value of c.

For that, let us take the equation 2. There also, we can replace b with -2 to find the value of c.

[tex]2b+c=8\\\\2*-2+c=8\\\\-4+c=8\\\\c=8+4\\\\c=12[/tex]

Simplify fully 4m/20m leaving your answer in index form

Answers

The index form of the expression is 5^-1m

How to determine the index form

Note that index form means in a power form

We have that;

= 4m/20m

Find the similar factor

= 1/5m

The inverse of a number, is that number to the power of -1

Then,

1/5m = 5^-1m

Thus, the index form of the expression is 5^-1m

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how to convert 798 in the base of 2

Answers

Subtract the largest power of 2 from 798 such that the difference is not negative.

2⁹ = 512 and 2¹⁰ = 1024, so the largest power of 2 smaller than 798 is 2⁹, and

798 = 512 + 286 = 2⁹ + 286

Repeat this process with the remainder, 286.

2⁸ = 256, so

286 = 256 + 30 = 2⁸ + 30

⇒   798 = 2⁹ + 2⁸ + 30

2⁴ = 16 and 2⁵ = 32, so

30 = 16 + 14 = 2⁴ + 14

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 14

2³ = 8, so

14 = 8 + 6 = 2³ + 6

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 2³ + 6

2² = 4, so

6 = 4 + 2 = 2² + 2¹

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 2³ + 2² + 2¹

or more completely,

798 = 1×2⁹ + 1×2⁸ + 0×2⁷ + 0×2⁶ + 0×2⁵ + 1×2⁴ + 1×2³ + 1×2² + 1×2¹ + 0×2⁰

Then the base-2 representation of 798 is

11 0001 1110₂

need help with these graphs really quickplease

Answers

Answer:

Concave up: (0, infinity)Concave down: (-infinity, 0)

a. The graph is concave up in the interval 0 ≤ x ≤ +∞

b. The graph is concave down in the interval -∞ ≤ x ≤ 0

To answer the question, we need to know what intervals are

What are intervals?

Intervals are range of values in which a function is valid. It can either be the range of values of input or output of the function.

a. Interval where the graph is concave up

From the graph, we see that the function is concave up in the interval 0 ≤ x ≤ +∞

So, the graph is concave up in the interval 0 ≤ x ≤ +∞

b. Interval where the graph is concave down

From the graph, we see that the function is concave down in the interval -∞ ≤ x ≤ 0

So, the graph is concave down in the interval -∞ ≤ x ≤ 0

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5. Please answer the question on exponential growth or decay. Round to
the nearest whole number or penny if the question is concerning money if
necessary
For tax purposes, a car rental company
assumes each car in their fleet depreciates
by 7% per year. If the initial value of a
car is $32,200.00, what will the value be
when the car is 9 years old?

Answers

The value of this car when it is 9 years old is equal to $16,757.00.

How to calculate the value?

In order to determine the value of this car when it is 9 years old, we would use an exponential function which also relates to compound interest as follows:

A = P(1 - r)^t

Substituting the given parameters into the formula, we have;

A = 32,200(1 - 0.07)^9

A = 32,200(0.93)^9

A = 32,200 × 0.5204

A = $16,757.00.

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Hi I don't know how to do this question

Answers

Answer:

7 (option B)

Step-by-step explanation:

the area of a trapezoid can be found using the formula:

[tex]A = \frac{a+b}{2}h[/tex]

where

A: area

a: base

b: other base

h: height

here, we can plug in our known variables to solve for h (height)

A: 119

a: 10

b: 24

h: ??

[tex]A = \frac{a+b}{2}h[/tex]

[tex]119 = \frac{10+24}{2}h[/tex]

{now, simplify!}

[tex]119 = \frac{10+24}{2}h[/tex]         {add 10 + 24}

[tex]119 = \frac{34}{2}h[/tex]            {divide 34 by 2}

119 = 17 · h

119     =    17 · h

÷ 17       ÷17             {divide both sides by 17to isolate h}

7 = h

So, the height (h) of this trapezoid is 7

hope this helps! have a lovely day :)

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800.

x = number of years

The following functions represent the value of the savings accounts in x years:

Jack’s savings account: f(x) = 1000(1.015)x

Susie’s savings account: g(x) = 800(1.015)x

Which function represents the total amount Jack and Susie will save in x years?

200(1.015)x
1800(1.015)x
1800(1.015)2x
1800(1.030)x

Answers

The function that shows the total amount Jack and Susie will save in x years is 1800(1.015)ˣ

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let f(x) and g(x) represent the value in the savings account of Jack and Susie respectively after x years. Hence:

f(x) = 1000(1.015)ˣ, g(x) = 800(1.015ˣ

Hence:

Total savings = 1000(1.015)ˣ + 800(1.015)ˣ = (1.015)ˣ[1000 + 800] = 1800(1.015)ˣ

The function that shows the total amount Jack and Susie will save in x years is 1800(1.015)ˣ

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let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)

Answers

The value of x such that f(x) = g(x) is x = 3

Quadratic equation

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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What is the solution to the equation 3 +6=2​

Answers

Answer: no solution

Step-by-step explanation:

if we simplify this equation, we derive that 9=2.

this is a false statement, which means this equation has no real solutions.

Do anyone know thissss

Answers

Answer: False

Step-by-step explanation:

   This is not a function because the single input [x] of 6 has outputs [y] of 2 and 4, and the single input [x] of 12 has outputs [y] of 2 and 4.

   A function must have only one output [y-value] for every input [x-value].

What can be concluded about the line represented in the table? Select 3 options.. x y –6 –7 2 –3 8 0 The slope is 2. The slope is One-half. The y-intercept is –4. The y-intercept is 8. The points (–2, –5) and (8, 0) are also on the line. The points (–5, –2) and (1, 10) are also on the line.

Answers

The correct statements regarding the linear function are given as follows:

The slope is 1/2.The y-intercept is -4.The points (–2, –5) and (8, 0) are also on the line.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the line goes through points (-6,-7) and (8,0), hence the slope is given by:

[tex]m = \frac{0 - (-7)}{8 - (-6)} = \frac{7}{14} = \frac{1}{2} = 0.5[/tex]

Hence:

y = 0.5x + b

When x = 8, y = 0, hence the y-intercept is given as follows:

0 = 0.5(8) + b

b = -4.

When x = -2, we have that:

y = 0.5(-2) - 4 = -1 - 4 = -5.

The points (–2, –5) and (8, 0) are also on the line.

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Answer:

B,C,E

Step-by-step explanation:

took the test on edge and got 100

3. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 37 ft, 35 ft, and 12 ft
False, these measures do not form a right triangle.
True, these measures do form a right triangle.

Answers

Answer:

false

Step-by-step explanation:

these measure do not form a right triangle

A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.

Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

The true statement about the graph's slope is (c) Its slope is zero.

How to determine the true statement?

From the question, we have:

A horizontal line is at y = 2.5.

The horizontal line implies that the cost of lunch do not change

Horizontal lines have a slope of 0

Hence, the true statement about the graph's slope is (c) Its slope is zero.

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Assume that they all agree on the sample size and the sample mean use the pairs below to select the team that has the smallest sample standard deviation?

Answers

Step-by-step explanation:

A.Confidence Level: 99.7%; Confidence Interval: 42 to 48 

B.Confidence Level: 95%; Confidence Interval: 43 to 47

 C.Confidence Level: 68%; Confidence Interval: 44 to 46 

D.Confidence Level: 95%; Confidence Interval: 44 to 46

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $31.3, and the standard deviation is known to be $9.4. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46

Answers

The sample size which is required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46 is 866.

Given mean income of $31.3 and standard  deviation of $9.4.

We have to calculate the  sample size of confidence interval of 85% and at an error of $0.46.

Margin of error is basically the difference between actual values and calculated values.

Mean =$31.3

Standard deviation=$9.4

Confidence level=85%

Margin of error=$0.46

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

0.46=1.44*9.4/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]=1.44*9.4/0.46

[tex]\sqrt{n}[/tex]=29.42

squaring both sides

n=865.53

Round off and we get the following:

n=866.

Hence the sample size needed to estimate the mean per capita income at the 85% level of confidence is 866.

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What will be the answer for 25 out of 100?

Answers

Hello !

[tex]\frac{25}{100}=0.25[/tex]

Have a nice day ;)

Answer:

25

Step-by-step explanation:

25

Answer: 25% of 100 is 25.

A Virus is 30 Nanometres long.

Using the information below, calculate the length, in millimetres, of the virus.

1 metre = 1,000,000 Nanometres.

Answers

Answer:

0.00003mm

Step-by-step explanation:

We know that 1mm=1000000nm

To convert small unit to big we divide

So 30÷1000000=0.00003nm

The diagram shows AKLM. Which term describes point N?
K
L
A. Orthocenter
N
B. Circumcenter
C. Centroid
D. Incenter

Answers

The term that describes point N is centroid. The correct option is C. Centroid

Centroid of a triangle

The centroid of a triangle is the point in which the three medians of the triangle intersect.

The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

In the given diagram, we can observe that the lines join the midpoints of each side to the corresponding opposite vertex.

Point N is the point where the lines intersect.

Hence, the term that describes point N is centroid. The correct option is C. Centroid

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Answer:

B. Circumcenter

Have an Amazing day/night!!

Nosaira solved an equation. Her work is shown below:
3(2x + 1 ) = 2(x + 1) + 1
6x + 3 = 2x + 2 + 1
6x + 3 = 2x + 3
4x = 0
x = 0
She determines the equation has no solution.
Which best describes Nosaira’s work and answer?
Her work is correct, but there is one solution rather than no solution.
Her work is correct and her interpretation of the answer is correct.
Her work is incorrect. She distributed incorrectly.
Her work is incorrect. She moved terms across the equals sign incorrectly.

Answers

Her work is correct, but there is one solution rather than no solution.

Solving linear equations

Linear equations are equations that has a degree of 1. Given the equation below;

3(2x + 1 ) = 2(x + 1) + 1

Expand

3(2x) + 3(1) = 2(x) + 2(1) + 1

Simplify

6x + 3 =2x + 2 + 2

6x + 3 = 2x + 3

Collect the like term

6x - 2x = 3 - 3

4x = 0

x =0

Hence we can conclude that Her work is correct, but there is one solution rather than no solution.

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Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The points are labeled with the same letters.

Which angle corresponds to AngleN?
AngleN'
AngleO
AngleO'
AngleP'

Answers

The angle that corresponds to ∠N after transformation is: A. ∠N'.

What is Transformation?

Transformation is a process of manipulating a figure to create an identical figure either by dilation, rotation, or translation.

In the transformation performed in the image shown below, the new image formed is congruent to the original figure. This means polygon LMNOP ≅ L'M'N'O'P.

Therefore, the angle that corresponds to angle N is: A. Angle N'

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Answer: A). Angle N'

Step-by-step explanation:

A model without any simplifying assumptions a.provides simplified solutions to complex problems. b.is highly complex and likely unworkable. c.excludes important predictive variables. d.is very helpful for solving tough, real-world problems.

Answers

A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answers

An expression for the number of tiles used by Bruce and Felicia are 5x + 2 and 5x + 5 respectively.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Note: x represents the number of tiles in a box.

For Bruce, we have:

Expression = 3x + 2x + 2

Expression = 5x + 2.

For Felicia, we have:

Expression = 5x + 5.

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Complete Question:

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answer:

Bruce: y = 5x + 2

Felicia: y = 5x + 5

If f(x) = 5x - 7, what is {3)?
O A. 22
O B. 2
O c. 1
• D. 8

Answers

Answer:  8

Work Shown:

f(x) = 5x - 7

f(3) = 5(3) - 7 .... every x replaced with 3

f(3) = 15 - 7

f(3) = 8

Option - D is ✔ (8)

[tex] \: [/tex]

Given :

f(x) = 5x - 7x = 3

To Find :

What is the value of x ?

Calculating the value of x :

[tex]\sf : \implies \: 5x - 7[/tex]

[tex]\sf : \implies \: 5(3) - 7[/tex]

[tex]\sf : \implies \: 15 - 7[/tex]

[tex]\bf : \implies \: 8[/tex]

Hence,

[tex] \implies \boxed{ \bf \: \therefore \: The \: value \: of \: x \: is \: 8 \: } \\ \\ [/tex]

10. What is the perimeter of the triangle with sides 15 in, 20 in, and 25 in?
O 72 in
60 in
300 in
O 150 in
k

Answers

Answer:

P = 60 inches

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. So, to find perimeter, add up all the sides.

The side lengths were given, add them:

15 + 20 + 25

= 60

The perimeter is 60 inches.

HELP PLEASEEEE
Zarea finds 3√6,000 and shows her work below.

Answers

1000

^3rad? should be equal to 10. So, 10^3 is equal to 1000

Using the function p(t)=5*2^t, estimate the boa constrictor population in 2 years, 3 years, and 4 years. Show your work.

Answers

Answer:

2 years: 203 years: 404 years: 80

Step-by-step explanation:

There are several ways you can find the values of an exponential function for different values of the independent variable. You can read them from its graph, evaluate the formula, or recognize the relationship between the values.

P(t) for different t

The graph shows you the population is 10 in year 1, up by a factor of 2 from the population of 5 in year 0. The exponential nature of the function means the population will double in each of the next few years:

  2 years: 2 × 10 = 20

  3 years: 2 × 20 = 40

  4 years: 2 × 40 = 80

__

Additional comment

You can always use a calculator to evaluate the function for different values of t.

Other Questions
1. prepare income statements for both garcon company and pepper company. 2. prepare the current assets section of the balance sheet for each company. A couple decides that sophia will drive the first 3/5 of a trip and toby the last 2/5. the entire trip is 500 miles long. how far will sophia drive? A feature of personal selling by salespeople is that it is An observatory is 150 feet high. when a person is standing in the observatory looking at an island, the angle of depression is . what is the approximate horizontal distance from the observatory to the island? Which two of the options below are equalto in this right-angled triangle?bsin 34sin 56cos 34cos 56tan 34tan 56a56b34Not drawn accurately coronavirus disease is an infectious disease tag question Which clause completes the sentence by creating parallelism?regular exerciseexercise regularlyexercising regularlyyou get regular exercise The traffic police officer had already fined him for a parking office.( into passive voice) Educational Technology Inc. sells software to provide guided homework problems for a statistics course. The company would like to know if students who use the software score better on exams. A sample of students who used the software had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 109, 65, and 102. Students who did not use the software had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72. Assume the population standard deviations are not the same. At the alpha = .10 significance level, can we conclude that there is a difference in the mean scores for the two groups of studentsa. What are the three assumptions for CASE C?b. State the null and alternative hypothesis for this problem.c. State the level of significance for this problem.d. Which distribution (normal or t) should be used in this problem? Explain why.e. Create a decision rule for this problem. Include the critical value. (USE TEXTBOOK TABLE.) Make sure it agrees with the excel printout.f. Calculate the test statistic. (BY HAND). Make sure it agrees with the excel printout.g. What is your conclusion? EXPLAIN IN DETAIL.h. Estimate the p-value for this problem. Restate the conclusion. What is the actual p-value from the excel printout? How can our sensations be influenced by our beliefs andexpectations (ii) CH=C - CHCH3 Br,give the IUPAC name of the compound Cube A and cube B are similar solids. The volume of cube A is 27 cubic inches, and the volume of cube B is 125 cubic inches. How many times larger is the base area of cube B than the base area of cube A? A small cube labeled cube A has points K, L, M, and N on the top face and O, P, Q, and R on the bottom face. A large cube labeled cube B has points A, B, C, and D on the top face and E, F, G, and H on the bottom face. A. B. C. D. What motivates Odysseus to tell a lie to the Cyclops?Odysseus knows that Poseidon is the Cyclops father.Odysseus is afraid the Cyclops will steal their ship.Odysseus does not want to reveal their only means of escape.Odysseus does not know what has happened to his ship. The Emancipation Proclamation declaredwrong.A. warB. taxesC. slavery Gabrielle is 15years older than mik. The sum of their ages is 103.what is mik age? The z-score with a two-tail probability of 0.55 is How to prevent diseases that spread through mosquitoes? Jonathan collects spiders and beetles. In total all the insects inhis collection have 76 legs and 11 heads. How many of each insect did he collect? (Note: beetles have 6 legs and spiders have 8 legs.) Review the work showing the first few steps in writing a partial fraction decomposition.StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction4x + 40 = A(x + 6) + B(x + 2)4x + 40 = Ax + 6A + Bx + 2BWhat is the partial fraction decomposition in terms of x?StartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 12 Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFractionStartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction negative 4 Over x + 2 EndFraction + StartFraction 8 Over x + 6 EndFractionStartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 8 Over x + 2 EndFraction + StartFraction negative 4 Over x + 6 EndFractionStartFraction 4 x + 40 Over (x + 2) (x + 7) EndFraction = StartFraction 16 Over x + 2 EndFraction + StartFraction negative 12 Over x + 6 EndFractionThe Answer is C Given h(x)=x4h(x)=x4, find h(6)h(6).