Help please I need help with this (And don't just put random stuff to steal my points)

Help Please I Need Help With This (And Don't Just Put Random Stuff To Steal My Points)

Answers

Answer 1

Answer:

b

Step-by-step explanation:

i had to do this one in class and this is what i had gotten


Related Questions

Fill in the missing values for this ANOVA summary table:

S. S. D. F. M. S. F

Between 1. 256

Within 2461 107

TOTAL 27

Use the =FDIST(∙) function in Excel or the pf(∙) function in R to locate the p-value for this ANOVA:

p-value =

Report answer accurate to at least 4 decimal places

Answers

To fill in the missing values in the ANOVA summary table, we need to calculate the values based on the given information.

The missing values are:

To calculate the missing values:

1. S.S. (Sum of Squares) for Between:

Since the total S.S. is given as 27 and the S.S. for Within is 2461, we can subtract the Within S.S. from the Total S.S. to obtain the S.S. for Between:

S.S. Between = Total S.S. - Within S.S. = 27 - 2461 = -2434

2. D.F. (Degrees of Freedom) for Between:

The D.F. for Between is equal to the number of groups minus 1. The number of groups is not provided in the table, so we cannot determine the D.F. for Between.

3. F (F-value):

The F-value can be calculated by dividing the M.S. for Between by the M.S. for Within:

F = M.S. Between / M.S. Within = 1.256 / 107 = 0.0118 (rounded to 4 decimal places)

To locate the p-value for this ANOVA, we can use statistical software such as Excel or R. In Excel, we can use the FDIST(∙) function, while in R, we can use the pf(∙) function.

Using Excel:

p-value = 1 - FDIST(F, D.F. Between, D.F. Within) = 1 - FDIST(0.0118, D.F. Between, 107)

Using R:

p-value = 1 - pf(F, D.F. Between, D.F. Within, lower.tail = TRUE) = 1 - pf(0.0118, D.F. Between, 107, lower.tail = TRUE)

Since the Degrees of Freedom for Between is not provided, we cannot calculate the p-value accurately. The p-value depends on the specific Degrees of Freedom for Between.

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Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .

Identify the recursive formula for the sequence 3, 9, 27, 81, . . . .
Identify the recursive formula for the sequence 3, 9, 27, 81, . . . .
Identify the recursive formula for the sequence 3, 9, 27, 81, . . . .
Identify the recursive formula for the sequence 3, 9, 27, 81, . . . .

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

\(a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A\)

Option A is correct -

\(f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.\)

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

What is the formula to find the recursive of a Geometric sequence?

The formula to find the recursive of geometric sequence is -

\(a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2\)

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

\(\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r\)

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

\(a_{n} = -3a_{n-1}\)    and      \(a(1)=-3\)

Hence, Option A is correct.

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Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue
and then a green with NO replacement

Answers

\(b = 5, \: g = 3, \: r = 8\)

\(total = 5 + 3 + 8 = 16\)

\(p(b) = \frac{5}{16} \)

\(p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ \)

\(p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} \)

sophie needs 420 g of flour to bake a cake. her scales only weigh in ounces. how many ounces of flour does she need? 1 ounce

Answers

Sophie needs approximately 14.82 ounces of flour to bake her cake .

To convert grams to ounces, we can use the conversion factor that 1 ounce is approximately equal to 28.35 grams . The mass m in grams (g) is equal to the mass m in ounces (oz) times 28.34952

1 ounces = 28.35 gram

So, to find the number of ounces of flour Sophie needs, we can divide the weight in grams by the conversion factor .

420 g × 1 ounces / 28.35 g

420 g / 28.35 g = 14.82 ounces

Therefore, Sophie needs approximately 14.82 ounces of flour to bake her cake .

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At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?

Answers

Answer:

5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(chocolate)

=

chocolate

total

=

4

12

=

1

3

The experimental probability is

1

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

3

=

n

15

1

3

(315)

=

n

15

(315) Multiply both sides by (315)

115

= 3n Simplify

15

= 3n Simplify

5

= n Divide both sides by 3

You would expect 5 of the next 15 cones sold to have chocolate ice cream.

while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent

Answers

while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent​

Let

x ------> amount that Curtis spent

we have that

10=2x-26 ------> equation that represent this situation

solve for x

2x=10+26

2x=36

x=$18

therefore

Curtis spent $18

Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit

Evaluate. 84 A.65,536 B. 4096 C. 512 D.32PLZZZZZZ HELP and rate my rovlox fit

Answers

Answer:

its 32

Step-by-step explanation:

The value of the expression is 55/3.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

84 ÷ 42 x 6 + 18

Using the PEMDAS rule.

84 ÷ 252 + 18

84/252 + 18

1/3 + 18

(1 + 54)/3

= 55/3

Thus,

The value of the expression is 55/3.

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The complete question:

84 ÷ 42 x 6 + 18

Solve the expression.

How many electrons can there be in the 5s subshell.

Answers

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Hence 5s contains 2electrons

Rule for electron in nth shell=2n²

-4(a-12) help me because I am really confused

Answers

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

Delia drives 220 km in 2 hours. Calculate her average speed in km/hrs.

Answers

110 because avg speed is total distance over total time

Can someone solve this

Can someone solve this

Answers

a) 110°

b) 39°

️️️️️️️️

One root of f (x) = x cubed minus 4 x squared minus 20 x 48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

Answers

Answer:

C )  ( x - 2 ) ( x + 4 ) ( x - 6 )

Step-by-step explanation:

.

Please help me it’s due soon!

Please help me its due soon!

Answers

Answer:

Step-by-step explanation:

The standard equation for a parabola is \(y=x^2\)

The given equation is: y = 2(x+2)(x-2)

The given equation is factored out. Since it is factored, we can set each x expression to zero, to solve for the x intercepts.

x+2 = 0

-2      -2

x = -2

x-2 = 0

+2     +2

x = 2

We can therefore graph, (-2, 0) and (2, 0), because we know that it is the x intercepts of the given quadratic function.

to find the vertex, you will take both x intercepts, divide them by two, and that will get you the x cooridnate. Following that you can plug in that value as x into the equation solve for the y coordinate.

\(\frac{(-2 + 2)}{2} = 0\\\\x=0\\y = 2(x+2)(x-2)\\\\y = 2(0+2)(0-2)\\y=-8\\\\vertex = (0, -8)\)

finally graph that point and create the parabola shape. If you'd like to make your parabola more accurate, you can always make a t chart of x and y values. and plug in x values into the equation to find the other y values.

I've attached a graph of the given parabola.

Please help me its due soon!

suppose that 6 j of work is needed to stretch a spring from its natural length of 26 cm to a length of 36 cm. (a) how much work is needed to stretch the spring from 30 cm to 32 cm? (round your answer to two decimal places.) 0.6 incorrect: your answer is incorrect. j (b) how far beyond its natural length will a force of 20 n keep the spring stretched? (round your answer one decimal place.)

Answers

(a)The amount of work needed to stretch the spring from 30 cm to 32 cm is 0.6 J. (b) The distance the spring will be stretched by a 20 N force is 0.03 m.

The formula for the force needed to keep a spring stretched beyond its natural length is F = kx where F is the force, k is the spring constant, and x is the distance from the spring's natural length. The spring constant k is given by the formula: k = (Wd)/x² where W is the work done, d is the distance the spring is stretched from its natural length, and x is the distance from the spring's natural length.

Substituting the values for W, d, and x gives: k = (6 J)/(0.10 m)²

k = 600 N/m

Using the formula F = kx and substituting the values for F and k gives: 20 N = (600 N/m)x

Solving for x gives: x = (20 N)/(600 N/m)

x = 0.0333 m.

Hence, the correct answer is 0.03 m.

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Simplify.

square root 1/18

A.) 1/6 square root 2
B.) 1/3 square root 1/2
C.) square root 1/2

100 points for the answer

Answers

Answer:

A

Step-by-step explanation:

\(\sqrt{\frac{1}{18} } =0.2357022604\\\frac{1}{6} \sqrt{2} =0.2357022604\\\frac{1}{3} \sqrt{x} =0.4714045208\\\sqrt{\frac{1}{2} } =0.7071067812\)

The only one that is equal to square root 1/18 is 1/6 square root 2 therefore A is the answer

Answer:

√{1/18}=A.) 1/6 square root 2 and

B.) 1/3 square root 1/2

Step-by-step explanation:

√{1/18}=0.2357

A.1/6 √2=0.2357

B.1/3×(√1/2)=0.2357

C .√1/2=0.707

The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2​

Answers

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

The best method of repair for a fabric-covered surface which has an L-shaped tear, each leg of which is approximately 14 inches long, is to

Answers

Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

The best method of repair for a fabric-covered surface which has an L-shaped tear, each leg of which is approximately 14 inches long, is to use a patch, as the tear is too long to repair using a simple needle and thread.What is a patch?A patch is a piece of fabric or other material that is used to repair a hole or other damage in a larger piece of fabric. When it comes to covering holes or tears, patches can be quite useful.Patching processIt's time to patch the fabric once you've gathered all of the supplies. It's a fairly straightforward operation. Here's how to do it.1. Take a scrap piece of the same material as your torn fabric, making sure it's a few inches larger than the tear.2. Trim the patch down to the size of the tear, allowing for a margin of error of about half an inch on all sides.3. Apply adhesive to one side of the patch, making sure it's evenly distributed and covers the whole area.4. Put the patch on the wrong side of the torn fabric, ensuring that the adhesive side is facing the fabric.5. Smooth out the patch, working from the center outwards, to eliminate any air bubbles and ensure that the edges are fully adhered.6. Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

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Explain why 1 + 1 equals 2 in the most complex way possible

Answers

Answer:

By constructing arithmetics from Peano’s axioms (or equivalent).

Define  1  as  suc0 .

Define 2 as  suc1 .

Define addition as:  ∀∈ℕ,+0=  and  ∀,∈ℕ,+suc=(+) .

Prove that  suc=+1 . ( +1=+suc0=suc(+0)=suc ).

Therefore,  1+1=suc1=2 .

Then, prove that in any system which include a subset of inductive number which is compatible with Peano numbers, it is indeed compatible and the definitions of addition, 1, and 2 hold.

Second system:

Defining (natural) numbers as finite cardinals, and defining addition of two numbers  , :  + , as the cardinality of the union of two disjoint sets of cardinality    and    respectively.

We could define  1  as the cardinality of set  {{}} , and  2  as the cardinality of set  {{},{{}}} .

First I would prove that cardinality is an equivalence relationship.

Then I could prove that sets  {{}}  and  {{{}}}  are disjoint, each has cardinality 1 and the union has cardinality 2, which would fix my definitions.

Third system:

Use any other set of definitions and work from it. What should I define as 1? What should I define as 2? How I define addition?

For example, let’s have a field (a set with a commutative, associative, operation with identity property called addition, and a second commutativee, associative, operation with identity property that distributes the first one called multiplication) with total order which is closed by addition and multiplication. Let’s define  0  as the identity element of addition and  1  as the identity element of multiplication. Then find a way to define  2  differently than  1+1 , then prove that  2  is  1+1 . The tricky part is to use a coherent intuitive definition of  2  that is not  1+1

Step-by-step explanation:

Please help me i need to turn this in

Please help me i need to turn this in

Answers

Answer:

(I dont know which way your supposed to do it)

+4 +4

3x = 18

÷3 ÷3

X = 6

Help meeeee lleaseeeee :))

Help meeeee lleaseeeee :))

Answers

Answer:

a

Step-by-step explanation:

The answer will be the first option. Hope this helps

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form of a line that passes through (5,7) and (4,4)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.

9(-14)(−2)=
A -15
B 128
C 252
D -252

Answers

Answer:

the answer is c

Step-by-step explanation:

add 14 9 times and then whatever that number is double it and remove the negative sign

Find the value of x that makes m||n​

Find the value of x that makes m||n

Answers

Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively

Alternating and Corresponding Angle Theorem

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

1)

9x + 8 = 107 (alternating angles are equal)

9x + 8 = 107

9x = 107 - 8

9x = 99

x = 11

2)

20x = 80 (alternating angles are equal)

20x = 80

x = 4

3)

x + 84 = 80 (corresponding angles are equal)

x = 80 - 84

x = -4

4) 120 + 6x = 180

This is gotten from applying alternating angle theorem and angle on a straight line theorem

120 + 6x = 180

6x = 180 - 120

6x = 60

x = 10

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Evaluate yz + x² x=3.2, y=6.1, z=0.2

Answers

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

15. Express the repeating decimal 4.61 as an exact fraction using a geometric series with 0.01 being the repeating decimal.​

Answers

Answer:

4 11/18

------------------------

We have a repeating decimal 4.6(1).

Let's express it as a GP:

4.6(1) = 4.6 + 0.01 + 0.001 + 0.0001 + ...

Fund the sum of infinite GP, with the first term of a = 0.01 and common ratio of r = 0.1:

S = a/(1 - r) S = 0.01/(1 - 0.1) = 0.01/0.9 = 1/90

Add 4.6 to the sum:

4.6 + 1/90 =4 + 0.6 + 1/90 =4 + 6/10 + 1/90 = 4 + 54/90 + 1/90 = 4 + 55/90 = 4 + 11/184 11/18

Hence the fraction is 4 11/18.

A company's profit increased linearly from $5 million at the end of year 2 to $17 million at the end of year 6.
(a) Use the two (year, profit) data points (2, 5) and (6, 17) to find the linear relationship y = mx + b between x = year and y = profit.
(b) Find the company's profit at the end of 3 years.
(c) Predict the company's profit at the end of 8 years.

Answers

The linear relationship between x = year and y = profit is: y = 3x - 1.The company's profit at the end of 3 years is $8 million.The company's profit at the end of 8 years is predicted to be $23 million.

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).


The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3


Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1


So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8


So the company's profit at the end of 3 years is $8 million.


(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23


So the company's profit at the end of 8 years is predicted to be $23 million.

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which of the following situations can use the binomial probability distribution? group of answer choices a sampling of 100 parts to determine whether or not they meet specifications.

Answers

The situation that can use the binomial probability distribution is a sampling of 100 parts to determine whether or not they meet specifications.

The binomial probability distribution is used to model the probability of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. In the given situation, each part in the sample either meets the specifications (success) or does not (failure), which makes it a binomial experiment.

To use the binomial probability distribution, we need to know the probability of success (p) and the number of trials (n). In the given situation, we can determine the probability of a part meet specifications based on the given specifications, and the number of trials is fixed at 100, as we are sampling 100 parts.

Using the binomial probability distribution, we can calculate the probability of a certain number of parts meeting specifications out of the 100 sampled parts. This can be useful in determining whether the sample meets the expected specifications or if there are any issues with the manufacturing process.

In summary, the binomial probability distribution can be used in the given situation of sampling 100 parts to determine whether or not they meet specifications, as it involves a fixed number of independent trials with only two possible outcomes.

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Plot the point (1 and 1/2, 5 ) in the coordinate plane

Answers

Plot the point (1 and 1/2, 5 ) in the coordinate plane is Attached below.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given,  the point (1 and 1/2, 5 ) in the coordinate plane

Since, Point at x = 1 1/2 the value of y = 5

In coordinate plane,

x = 1 1/2 represents that Point is 1 1/2 units right to the origin point that is (0, 0).

And  y = 5 represents that Point is 5 units upward to the origin point that is (0, 0).

therefore, the graph of (1 1/2 , 5) is attached below.

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Plot the point (1 and 1/2, 5 ) in the coordinate plane

A 50 ft pole has a support wire that runs from its top to the ground with an angle of depression of 75°. To the nearest tenth of a foot, how much wire is used? Enter a number answer only.

Answers

Answer:

Step-by-step explanation:

Given:

height of pole = 50 ft

angle of depression = 75°

to find:

how much wire is used

Solution:

Let x be the wire used

sin 75° = 50/x

x = 50/sin 75°

  = 50 / 0.9659

  = 51.765

x = 51.8 ft

Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer

Answers

Answer:

yes because 0.5 is 50%

Step-by-step explanation:

Other Questions
required informationskip to questionassignments and delegations introduction read the overview below and complete the activities that follow. contracts are typically private agreements in that they bind the two parties and no one else. thus, parties not in privity of contract usually do not have rights to a contract. however, there are exceptions to the general rule. this activity outlines the importance of paying special attention to ramifications that result from assigning or delegating a contract, including the effects these actions have on assignees. concept review: contracts create situations in which both parties have a duty to perform the agreed-on action and a right to be the recipient of the other party's duty. these rights and duties can be transferred to third parties. the transfer of rights is known as assignment; the transfer of duties is known as delegation. mini-case: read the case and then answer the questions to create a strategy for how someone might determine the results of the scenario. katerina owned property in miami right on the beach that she leased to scotty. scotty used the property for business purposes, which was allowed under the lease. three months into the lease, scotty transferred his lease to a sports agent company for $5,000, which became the new tenant under the lease. katerina became upset with scotty's transferring of the lease because she thought that since she leased the property to scotty, he should not be allowed to let anyone else lease the property. furthermore, she had a strong aversion to sports agents after watching the movie jerry maguire, and she did not want any money-grubbing sports agents working on her property. subsequently, katerina wonders whether there is any way she can limit the ability of scotty to transfer the lease. walk through the different types of transferring of rights and duties. what type of transfer of rights or duties is described in this case? what is the role of the relevant parties in the case? katerina clearly does not like the transfer of the lease. are there any factors that could limit the transfer of these rights or duties?the scenario above is an example of what legal concept?multiple choicevesting of rightsdelegationassignment Find dy/dx given that dy/dx = You have not attempted this yet x = et + ln(9 t) 2 y = 2 cos( 5 t ) t What is elimination in math? In January 2019, the Dow Jones Industrial Average (DJIA) was23,138.82. By September 2019, the DJIA was 26,970.71. Construct anindex value for September 2019, using January 2019 as the base (=100) a One factor of f (x ) = 5 x cubed 5 x squared minus 170 x 280 is (x 7). What are all the roots of the function? Use the Remainder Theorem. X = 4, x = 2, or x = 7 x = 7, x = 2, or x = 4 x = 7, x = 5, or x = 280 x = 280, x = 5, or x = 7. True or false: ballot reforms increased the influence of political parties on the voting process. Part 1 (1 point) A municipal bond that matures in one year has a $5,000 face value and is currently priced at $4,400.00. Calculate the interest rate for this bond to two decimals. ________ is malware that hijacks a user's computer and demands payment in return for giving back access. group of answer choices spyware a trojan horse ransomware a virus an evil twin Select which of the following are surds1736B100CA15D30E What is a constitutional monarchy? A. a monarchy in which an agreed-upon set of rules explains the duties and responsibilities of the monarch B. a monarchy that lacks a legislature and parliament C. freedom for monarchs to rule as they see fit D. the type of monarchy seen under an absolute monarch use FICO as stock and include any charts or graphs usedWrite a thoughtful analysis of your stock and tell me if you would open a long or short position as of the due date.long means buyshort means sell Q3. A charge of 90C passes through a wire in 1 hour and 15 minutes. What is the current in the wire? Applies to next two questions: Suppose John is risk-averse and faces a gain of $100 with probability 0.5 and a gain of $200 with probability of 0.5. Point to Johns (approximate) expected utility. Find the area of the figure.square with sides of 5.9 ftThe area of thesquare isft. When would a Mantel randomisation test might be used and how thesignificance of the test statistic is calculated An electron with an initial speed of 5.00105 m/s is brought to rest by an electric field.Did the electron move into a region of higher potential or lower potential?What was the potential difference that stopped the electron?What was the initial kinetic energy of the electron, in electron volts? Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is your decision if = 0.01?Select one:a.Reject the null hypothesis and conclude the newscast does not reach 41% of the audience.b.Fail to reject the alternate and conclude the newscast does not reach 41% of the audience.c.Reject the alternate and conclude the newscast reaches about 41% of the audience.d.Fail to reject the null hypothesis. Match each simplified form to it's equivalent radical expression. Tiles: 43, 3 32, 2 33, 35Pairs3244835445 Sketch a graph of the function f(x) = -3cos(x) + 1 1. Identify nucleophiles and electrophiles in the reaction in question.2. Identify the type of reaction taking place, e.g., E1 or E2. 3. Account for any regio- or stereoselectivity display in the reaction.4. Identify the rate-determining step.