I need some help on this question please

I Need Some Help On This Question Please

Answers

Answer 1

Answer:

The answer is attached to this response below.

I Need Some Help On This Question Please

Related Questions

Write and solve an equation to find the value of x below.​

Answers

Answer:

Equation:

[tex]7x + 10 = 150[/tex]

Value of x:

[tex]x = 20[/tex]

Step-by-step explanation:

In the figure, we are given 2 angles, 150° and (7x+10)°.

These 2 angles are vertical angles because they are directly opposite of each other and formed by intersecting lines.

Vertical angles are congruent, which means the same.

Thus, to make an equation to solve for x, we need to set the angles equal to each other.

Equation: [tex]7x + 10 = 150[/tex]

Solving for x:

[tex]7x + 10 = 150[/tex]

⇒ [tex]7x = 140[/tex] . . . . . . . . . subtract 10 from both sides of the equation

⇒ ∴ [tex]x = 20[/tex] . . . . . . . . . divide both sides by 7 to isolate x

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Answer:

Step-by-step explanation:

Using VAT:

Angles opposite each other are consider equal.

Therefore : 7x+10 = 150

Solve for x: 7x= 150-10

                    x= 140/7

                    x= 20

To check : 7x+10 = 150

                 7(20)+10=150

                 140+10=150

                 150=150 (correct)

The circumference of a circle is 5piem. What is the area, in square meters? Express your answer in terms of pie​

Answers

The area of circle with circumference 5πm is 6.25π square meters.

What is circumference and area of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.

Circumference of circle(C)= 2πr

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Area of circle(A)= πr^2

We are given the circumference of circle(C)= 5π

This implies that 2πr= 5π because C= 2πr

On solving the equation,

2πr= 5π

r=5/2

=2.5

Now, area of circle(A)= πr^2

So, A= π (2.5)^2

A= 6.25π square meters

Hence, The area of circle with circumference 5πm is 6.25π square meters.

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Which of these numbers lies between 8885 and 9885?
a}8875
b}8895
c} 9895
d}9975

Answers

Answer:

b

Step-by-step explanation:

The interactions of snakes and mice make up which ecological unit?


A. species

B. community

C. biome

D. population

Answers

Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Ecological UnitsA species is frequently defined in biology as the biggest group of creatures in which any two individuals of the appropriate sexes or mating types may create viable offspring, usually by sexual reproduction. Ex: "A rattlesnake and a cobra are two different species of a snake." OR "The male and female cows we found are the same species."A community, also known as a biological community, is a group or association of populations of two or more distinct species that occupy the same geographical region at the same time. Ex: "There are snakes, mice, and trees in the forest community."A biome is a community of plants and animals that live naturally in a certain region and have common traits. Ex: "The continent of Africa has rich biological diversity because it contains nine biomes."A population is the whole number of inhabitants occupying an area of the same species. Ex: "Ecologists are studying the decline of the red panda population in relation to ecotourism and zoos."

Please let me know if this helped!!!

Are the following expressions equivalent? How do you know?
-2(x-1)+3(x+2) and x+8

Answers

Yes, these expressions are equivalent.

What are equivalent expressions?

Expressions that are equivalent do the same thing even when they have distinct appearances.

When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We may be given equations with algebraic expressions on both sides in some situations.

The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F

According to our question-

-2(x-1)+3(x+2)

further solving gives;

x+8

Hence, Yes, these expressions are equivalent.

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How to find the average of 20,30,20,10,10,10

Answers

Answer:     4.16

Step-by-step explanation:

To find the average (mean) you must add up all the numbers and then divide by how many numbers there are;

20+30+20+10+10+10= 100 and there are 6 numbers so you do;

100/6 which is 50/3 or about 16.66 with the 6 repeating

What are the 7 steps to solve a math problem?

Answers

Answer:

sometimes there are more, sometimes there are less

Step-by-step explanation:

for example 1+1 only requires 1 step

hope this helps

Answer:

STEP 1: The Right Problem to Solve

STEP 2: Analyse the Problem

STEP 3: Define the Problem

STEP 4: Develop Opportunities (Possible Solutions)

STEP 5: Select the Best Solution

STEP 6: Implement the Solution

STEP 7: Evaluate and Learn

Step-by-step explanation:

Hope It Helps!

On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.

Answers

On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.

Why is a curve negatively skewed?

In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.

Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.

The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.

The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:

Mode > Median > Mean.

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How do you find the end behavior of a graph with Asymptotes?

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To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.

How to find an asymptote?

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.

Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.  

Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.

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In ΔMNO, o = 8 inches, m m∠O=48° and m m∠M=28°.

Answers

The length of side m is, 5.08 inches.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔMNO,

⇒ o = 8 inches, m ∠M = 28° and m ∠O = 48°.

Now, Let the length of side m = x

So, By sine rule, we get;

⇒ sin M / m = Sin O / o

Substitute all the values, we get;

⇒ sin28°/  x = sin 48° / 8

⇒ 0.47 / x  = 0.74 / 8

⇒ x = 0.47 × 8 / 0.74

⇒ x = 5.08 inches

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What is the answer of X² 6x 16?

Answers

The solution of (x^2 +  6x - 16) is ( x+8 )( x−2 ).

Lets solve the equation (x^2 +  6x - 16) in order to find its solution:

The equation is ( x^2 + 6x − 16 )

Now factorizing it

= ( x^2 + 8x − 2x − 16)

Taking x common from the first two terms and -2 common from the last two terms:

= [x (x+8) −2 (x+8) ]

Now,

= [ (x+8) (x−2) ]

Therefore, it is shown that the solution of the equation "(x^2 +  6x - 16)" is (x+8)(x−2) which is obtained through factorization.

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please help me with this question thank you

Answers

Answer:

2):  x - $31 = $69

Step-by-step explanation:

See attached worksheet.  The derivation of the answer, x - $69 = $31 (then x = $100) is shown.  Convert the written question into an equation:  If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:

   x - $69 = $31

This can be rearranged to:  x - $31 = $69, the second answer option.  Other options have errors, noted by the red circles.  There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.

Answer:

B)  Let x = amount paid to cashier

         x - $31 = $69

         x = $100

Step-by-step explanation:

We want to determine the amount Lemon paid the cashier.  Therefore, the unknown variable is:

Let x = the amount he paid the cashier.

If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:

x - $31 = $69

To solve the equation, add $31 to both sides:

x - $31 + $31 = $69 + $31x = $100

Therefore, the amount Lemon paid the cashier was $100.

A hore walk 4224 feet in 12 minute at thi rate how many yard doe a hore walk in twelve minute

Answers

1408 yards in 12 minutes doe a horse walk in twelve minute.

The term measurement in math is defined as the process of associating numbers with physical quantities and phenomena.

Here we have given that a horse can walk 4224 feet in 12 minutes.

As we all know that One yard is equal to three feet.

Therefore, if you want to get the yard equivalent, then we have to divide the feet term by 3.

Here we know that the horse walking distance in 12 minutes is 4224 feet.

Then the yard equivalent value is calculated as,

=> 4224/3

=> 1408

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(r^4-3r^3+6r-18)/(r-3) Synthetic Division

Answers

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.

What is the solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division?

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:

(r⁴ - 3r³ + 6r - 18) / (r - 3)

The divisor is +3

The coefficients are:

   1    -3    6    -18

Using synthetic division

the first coefficient is 1

the second coefficient = 1 * 3 + -3

the second coefficient = 0

the third coefficient = 0 * 3 + 6

the third coefficient = 6

the fourth coefficient = 6 * 3 + (-18)

the fourth coefficient = 0

Therefore, the solution =  1(r⁴/r) + 0(r³/r) + 6(r/r) + 0

the solution = r³ + 6

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How many congruent triangles can be made by joining the midpoints of the sides of triangle?

Answers

It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

What are triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

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Question
Isabella and Penelope are both draining their backyard swimming pools. Isabella’s pool holds 1,700 gallons and she is draining the water at a rate of 2.4 gallons per minute. Penelope’s pool holds 1,350 gallons and she is draining the water at a rate of 1.6 gallons per minute. How long will it take to have the same amount of water in both pools?
how many minutes?

Answers

To find out how long it will take for both pools to have the same amount of water, we can set up an equation using the information given. Let t be the number of minutes it takes for both pools to have the same amount of water.
At the time t, we know that the amount of water that Isabella has drained is equal to the amount of water Penelope has drained.

1,700 gallons - 2.4 gallons/min * t = 1,350 gallons - 1.6 gallons/min * t

Now we will get rid of the gallons, by multiplying both sides by 1 min/gallons

t = (1,700 - 1,350)/(2.4 - 1.6) = 350 / 0.8 = 437.5 min.

So it would take Isabella and Penelope 437.5 minutes (about 7.29 hours) to have the same amount of water in both pools.

Is 904 divisible by 8?

Answers

yes. 904 is divisible  by 8  and quotient is 113.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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Taub is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Taub made a total of 11 shots altogether and scored a total of 30 points. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y.

Answers

This can be written as a system of equations (simultaneous equation):

x + y = 11
3x + 2y = 30

x + y = 11 because x and y show the number of 2 and 3 point shots and 11 is the total number of shots

3x + 2y = 30 since each ‘x’ shot represents 3 points, and each ‘y’ shot represents 2 points, and 30 is the total number of points.

All you have to do now is plot your equations on a graph, and see where the lines intersect!

Or, we can solve the equations like this:

x + y = 11 and 3x + 2y can’t be cancelled out since there are no matching variables. We can multiply one equation to make them match:

2 ( x + y = 11) = 2x + 2y = 22

We can cancel out 2y in the first and second equations through subtraction, leaving x = 8.
Through substitution, we can find out y’s value:

x + y = 11
x = 8

y = 11 - 8 = 3
y = 3

Check if your answer is correct: 3x + 2y = 30

3 x 8 + 2 x 3
= 24 + 6
= 30

Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(−9, 1), B(2, 3), C(12, −2), D(1, −4)

Answers

The quadrilateral ABCD indicates that it is a rhombus.

What is rhombus?

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

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I really need help with this question x + 2/3 =9/10

Answers

Answer:

x = 7/30

Step-by-step explanation:

x + 2/3 = 9/10

(x + 2/3 = 9/10) * 30  ==> multiply the equation by 30.

                                     30 is the LCM (Least Common Multiple) of 3 and 10.

30x + 2*30/3 = 9*30/10  ==> Now the denominators will be removed,

                                            making the equation much easier to simplify

30x + 60/3 = 270/10  ==> simplify

30x + 20 = 27  ==> solve for x

30x = 7 ==> subtract 20 on both sides

x = 7/30  ==> simplify

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PLEASE PLEASE HELP ME!!! Question

Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.


What is the equation for g(x)?




Enter your answer by filling in the box.


g(x)=

Answers

the equation for g(x)= 32x-7

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

EXPLANATION

We want to find the equation for g(x).

First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:

f(x)→4f(x)

Therefore, the function becomes:

4(8x)

=32x

Then, it is translated 7 units down. This means that the function changes as follows:

f(x)→f(x)-7

Therefore, the equation for g(x) is:

g(x)=32x-7

Hence, the equation for g(x)= 32x-7.

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Need the answer to the problem below.
((5 * 7) ^ 7) ^ 5 =

Answers

Answer:

Here is your answer

((5 * 7) ^ 7) ^ 5 =

(35 ^ 7) ^ 5 =

64339296875 ^ 5 = 1102507499354148695951786433413508348166942596435546875

Step-by-step explanation:

bro how does 90 go into 30 explain

Answers

It don’t 30 goes into 90 3 times tho

Step-by-step explanation:

division so like it would go in 3 times I think

Brianna i getting material for a chemitry experiment. Her teacher give her a container that ha 0. 85 liter of a liquid in it. Brianna need to ue 0. 2 of thi liquid for the experiment. How much liquid will Brianna ue?

Answers

Brianna will use 0.17 liters of the liquid

We know that an equation in which two ratios are set equal to each other is called as proportion.

Here, Brianna has a container which has 0.85 L of liquid in it.

Brianna needs to use 0.2 of this liquid.

Assume that 0.85 L represents the 100% of the liquid.

Then 0.2 represents 0.2 × 100 = 20% of the liquid .

Let Brianna will use x liters of liquid.

Consider a proportion.

[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]

0.0085 = x/20

x = 0.0085 × 20

x = 0.17 liters

so, she will use 0.17 liters of liquid.

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rewrite (-4)^2/7 in radical form

Answers

The expression (-4)^2/7 can be written as seventh root 16

What are radicals?

The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.

For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.

Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16

7 is the root of (-4)²

Therefore (-4)^2/7 can be written in radical for seventh root 16.

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Which of Newton's Laws explain why the table moves at 0.25 m/s/s when you push on it

Answers

Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

The notation "f(x)" (f of x) is another way of representing y-values in a function

Answers

The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.

What is a function?

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.

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Complete Question:

The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?

plssss i’ll give points?
d
d
d
d
d
d

d
d
dd
d
d
d
d

Answers

Wait what is the full question is that a test

Answer:

d

Step-by-step explanation:

Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39. How much money did he receive?

Answers

Scott receive 39-26= 13 dollar  when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.

Money is defined as something that serves as a medium of exchange.

Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.

1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.

2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.

3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years

Lat Friday Scott had $26.

Over the weekend he received ome money for babyitting.

He now ha $39.

Scott receive 39-26= 13 dollar

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How long do eyes stay dilated?

Answers

Depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.

What is eyes dilation?

There are causes of dilated pupils besides underlying disease. Examples include a pitch-black room, sleep, fear, or adverse drug reactions.

When you get your eyes dilated, your doctor uses special drops to open your pupils wide.

This let them get a look at your whole eye, including all the nerves and blood vessels at the back, to check for signs of diseases

When dilated, the pupil is unable to get smaller, and thus block out light in bright areas. This causes glare in your vision so you can't see things clearly.

The drops also make it difficult to focus on things up close, but usually don't affect distance vision.

So, Your eyesight will be impaired, so some experts say you should play it safe and not get behind the wheel will leads to affecting your driving

Hence, depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.

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Which of the following is required in order to determine the future value of $1?Interest rateNumber of periods in which the amount will earn interestAmount to be invested today What is the solution to the model shown below. A. X=1.5 B. X=2 C. X=0.5 D. X=1 Using Amnesty Internationals definitions, about what percentage of the worlds countries retain the death penalty? a. 5 percent b. 30 percent c. 77 percent d. 95 percent a helicopter lifts an astronaut of mass 72 kg 15 m vertically from the ocean by means of a cable. the acceleration of the astronaut is g/10. question 5.1 5a) how much work is done on the astronaut by the force from the helicopter? Consider an atomic nucleus of mass m, spin s, and g-factor g placed in the magnetic field B = Bo es + B1 [cos(wt)e; sin(wt)e,], where Bi < Bo. Let |s, m) be a properly normalized simultaneous eigenket of S2 and Sz, where S is the nuclear spin. Thus, S2|s, m) = s(s + 1)2 \s, m) and Sz|s, m) = m|s, m), where -s smss. Furthermore, the instantaneous nuclear spin state is written = \A) = { cm!)\s,m), m=-S, where Em=-5,5 1cm1? = 1. = (a) Demonstrate that iy dom dt Cm-1 2 ([s (s +1) m(m 1)]\/2 ei(w-wo) +[s (s + 1) m(m + 1)]1/2 e-i(w-wo) 1 Cm+1 = for -s smss, where wo = guy Bo/, y = guy B1/, and un = e/(2 m). (b) Consider the case s = 1/2. Demonstrate that if w = wo and C1/2(0) = 1 then = = C1/2(t) = cos(yt/2), C-1/2(t) = i sin(y t/2). a survey of 44 randomly selected iphone owners showed that the purchase price has a mean of $630 with a sample standard deviation of $31. a. what is the point estimate of the population mean? 14.19 what is the 4b/5b encoding for the binary sequence 1101000011001101 where were the main beliefs of nationalism movement? which properties are common between cities and organizations? (multiple) the evolution of both cities and organizations ultimately leads to a certain target state defined in advance both cities and organizations evolve slowly in a continuous and path-dependent manner both cities and organizations run and evolve simultaneously, they cannot be stopped, modified and then resumed both cities and organizations have one single best way to evolve completely determined by their strategic goals both cities and organizations can be planned in detail far ahead in the future the future needs of both cities and organizations can be anticipated in principle, but cannot be described in detail given: (x is number of items) demand function: d ( x ) = 200 0.5 x d(x)=200-0.5x supply function: s ( x ) = 0.3 x s(x)=0.3xFind the equilibrium quantity: Preview Findthe producers surplus at the equilibrium quantity: Preview Get help: Video suppose the demand function for movies for college students is: = p and for other town residents is: = p. part 2 the town's total demand function is: the ampullae of lorenzini in sharks are used for ________. electroreception magnetoreception mechanoreception thermoreception photoreception The rule used as a basis of comparison for measuring quantitative orqualitative value is ______. regarding the posterior columns, our perception of a given sensation as touch, rather than as temperature or pain, depends on ________. prove that (z^a/z^b)^c * (z^b/z^c)^a * (z^c/z^a)^b =1 1) What is the largest value that RDcan have while the transistor remains in the saturation mode? Let Vt=1V, and Kn(W/L) = 1mA/V2. Neglect the channel-length modulation effect (i.e. assume that =0). The management team at Payne Manufacturing Company has decided to modernize the manufactur ing facility. The company can replace an existing, outdated machine with one of two technologically advanced machines. One replacement machine would cost $72,000. Management estimates that it would reduce cash outflows for manufacturing expenses by $30,000 per year. This machine is ex- pected to have an eight-year useful life and a $1,500 salvage value. The other replacement machine would cost $75,600 and would reduce annual cash outflows by an estimated $27,000. This machine has an expected 10-year useful life and a $7,500 salvage value. Required a. Determine the payback period for each investment alternative and identify which replacemert machine Payne should buy if it bases the decision on the payback approach. Discuss the shortcomings of the payback method of evaluating investment opportunities. FILL IN THE BLANK the statement ""i should drive slow so that i can clearly see the sights along the highway"" is an example of a(n) _____. a type ii error is a. rejecting the null hypothesis when it is true. b. accepting the null hypothesis when it is false. c. incorrectly specifying the null hypothesis. d. incorrectly specifying the alternative hypothesis. Water park has pools, slides, and rides that, in total, make use of 4. 110^7 gallons of water. They plan to add a ride that would make use of an additional 5. 910^3 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed