The perimeter of the rectangle below is 92 units. Find the value of Z please please help

The Perimeter Of The Rectangle Below Is 92 Units. Find The Value Of Z Please Please Help

Answers

Answer 1

Answer

z=6

Used symbolab


Related Questions

PLEASE HELP!!! - There are 12 green cubes,9 blue cubes, and 4 white cubes in a bag. Write the probability of pulling out each color as a percentage.
A green cube ____
A blue cube _____
A white cube ____

Answers

Answer: green cube=48% chance, blue=36% chance, white =16% chance.

Step-by-step explanation: 1. You want to add up all the cubes. There are 25 cubes in total (9+4+12=25)

2. For the green cube, we know there are 12 cubes, so there would be a 12/25 chance which is a 48% chance


3. The same thing applies to the blue cube. There are 9 of them so it would be a 9/25 chance (36%)


4. There are 4 white cubes. 4/25 is a 16% chance.

PLEASE HELP!!! - There are 12 green cubes,9 blue cubes, and 4 white cubes in a bag. Write the probability

Can the following quadrilateral be proven to be a parallelogram based on the given​ information? Explain.
(picture shown below)

A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.

Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.(picture

Answers

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

(9.6 x10^3) x (6.7 x 10^2

Answers

Answer:

6432000x^3

Step-by-step explanation:

HELP PLEASEEEEE PLEASE HELP

HELP PLEASEEEEE PLEASE HELP

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9

Answers

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Which of the following are consistent with the
guidelines for hitching trailers?
Trailers must be connected to the tow vehicle before loading.
Loads cannot exceed the maximum payload of 1,750 pounds.
Loads cannot exceed the maximum payload of 3,000 pounds.
Customer vehicles must have at least a frame mounted Class 3 receiver hitch
with a 2" or 2 5/6" ball.

Answers

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Guidelines for hitching trailers?

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59

Answers

William catches the train from Euston station to Bletchley. According to the timetable, the next train from Euston to Bletchley departs at 15:32. William spends 4 minutes buying a ticket, so he will board the train at 15:36.

To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.

William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.

So, William will arrive at Bletchley at 17:16.

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

Answers

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

         \(Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)

        \(Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }\)

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS

NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS

Answers

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

How to calculate the value of the missing sides of the given triangle?

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Plz help!!!

A.) is the relationship a function?

B.) explain your answer. Use words “input” and “output”.

C.) Rachel plans to study 2 hours for her next exam. Will plotting her grade on the same graph change your answer to part a?
- No, it will stay a function
- Yes, it would change to not a function

D.) explain your answer from part c. Be specific.

Plz help!!!A.) is the relationship a function?B.) explain your answer. Use words input and output.C.)

Answers

Answer:

no of course yes its no yes

Step-by-step explanation:

Can you help me out with a question

Answers

In order to find the value of x, which coincides with one of the diagonals of the rhombus, use the following formula for the area of a rhombus:

A = (d1 · d2)/2

where d1 and d2 are the two diagonals of the figure.

In this case, you have:

A = 45

d1 = BD = 6

d2 = AC = x

replace the previous values of the parameters into the formula for A, and solve for x, as follow:

45 = (6·x)/2

45 = 3x divide by 3 both sides

45/3 = x

15 = x

x = 15

Hence, the value of x in the given rhombus ABCD, is 15 units

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18

(My answer is a guess so please show your work if you answer this question!)

thank you:)

Mrs. Aldridge spilled coffee on her Answer Key and can't see the width ofthe rectangle anymore. What

Answers

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Eli runs a distance of 3 miles in 2/5 of an hour. Jess runs a distance of 4/5 mile in 1/10 of an hour. Who had the faster speed? show your work.

Answers

Jess had the faster speed than Eli.

We have the relation connecting Distance travelled, Time taken to travel and the speed given by,

Distance Travelled = Speed x Time taken

Here, we need to find the speed of Eli and Jess to find out who was faster.

So we use the formula, Speed = Distance travelled / Time taken

Distance travelled by Eli = 3 miles

Time taken by Eli = 2/5 hour

Speed of Eli = Distance / Time taken

                    = 3/(2/5)

                    = 15/2 = 7.5 miles per hour

Distance travelled by Jess = 4/5 mile

Time taken by Jess = 1/10 hour

Speed of Jess = Distance / Time taken

                        = (4/5)/(1/10)

                        = 8 miles per hour

Comparing the speeds of Eli and Jess, Jess had the faster speed of 8 miles per hour.

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For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay

Answers

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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Cómo se hace y cómo es el proceso ayuda porfaaaaa


Cmo se hace y cmo es el proceso ayuda porfaaaaa

Answers

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Help please geometry

Help please geometry

Answers

The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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can someone please help me
50 points

can someone please help me50 points

Answers

Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

H(p)=p/5 + 15
What is the independent variable in this function

Answers

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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3. A small construction company borrowed $500,000 to purchase some heavy machinery to prepare job sites. Some of the money was borrowed at 9% interest, some at 10% interest, and the remainder at 12% interest. The annual interest was $52,000. The amount borrowed at 10% was 2.5 times the amount borrowed at 9%. How much was borrowed at each amount?​

Answers

Answer:

they have to give money back

Step-by-step explanation:

i said so


A person's blood pressure (in millimeters of mercury) while resting is given by the function (1) = 23 sin (2xt) + 100, where t is time in seconds. Find his blood pressure after 1 second

Answers

Answer:
Does tha 1 in the equation represent the second
Step-by-step explanation:

Can someone help please?
ASAP

Can someone help please?ASAP

Answers

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2


Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals 180°. His triangle is represented in the diagram above, and his work is shown below.


Answers

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

What is angle sum property of triangle?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals

Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?

Answers

If we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

Given that the values in database A are 0 from 100 and has mean of 50 and Database B has entries from 49 to 51 and also has mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding mean. The square of a standard deviation is known as variance.

Database A has values from 0 to 100 and has mean of 50. Because the values are somewhat very larger than 50 and in database B has values from 49 to 51,there are more chances that the standard deviation of database B will have smaller value than from standard deviation of database A.

Hence if we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

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Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?

Answers

$1045 was invested at the interest rate 6% whereas $1,995 was invested at 14%

How is interest computed?

Interest is determined as the amount invested multiplied by the interest rate.

Let Y be the amount invested at 6%

Interest=Y*6%

Interest=0.06Y

The amount invested at 14%, which is $950 more , is Y+950

Interest=(Y+950)*14%

Interest=0.14Y+133

Total interest =0.06Y+0.14Y+133

Note that total interest is 342

342=0.06Y+0.14Y+133

342=0.20Y+133

342-133=0.20Y

209=0.20Y

Y=209/0.20

Y=$1,045(amount invested at 6%)

Amount invested at 14%=$1,045+$950

Amount invested at 14%=$1,995

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what is this solution to the problem of ? 12÷132

Answers

Answer:

0.090909

Step-by-step explanation:

I used a calculator

Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years

Answers

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.

What is the volume of the prism?Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?

Answers

To solve this problem, we need to use the formula for exponential growth:

N = N0 * 3^t

where N is the final number of ants, N0 is the initial number of ants, 3 is the rate of growth (since the number of ants triples each week), and t is the number of weeks.

We are given that there are initially 200 ants, so N0 = 200. We want to find N at the end of 8 weeks, so t = 8. Substituting these values into the formula, we get:

N = 200 * 3^8

N = 200 * 6561

N = 1,312,200

Therefore, at the end of the eighth week, there will be 1,312,200 ants in the colony.

my bro has homework and he needs help but I don't have the time to help him

my bro has homework and he needs help but I don't have the time to help him

Answers

Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

Consider the sets A = fa; b; c; ; ; ; 1; 2; 3g, B = f ; ; ; ; ; g , C = f1; 2; 3; 4; 5; 6g and D = fa; b; cg. (a) List the elements of (A \ B)c (2 marks)

Answers

Answer:

hsad

Step-by-step explanation:

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Find the values of x for which f(x) = g(x). (Enter your answers as a comma-separated list.)f(x) = x4 8x2, g(x) = 8x2 this seventeenth-century dutch artist was a master of etching and used it to depict adam and eve as well as other religious subjects. What are some things YOU can do to reduce the plastic found in the ocean? Are there effective anti-Alzheimer's drugs? As of 2018, the answer is: A) "No." B) "Yes, if the medicines are taken at the middle stages of the illness." C) "Yes, if the medicines are taken at high doses." D) "Yes, if the medicines are taken in the last stages." 32. Which phrase in the First Amendment specifically relates to an individual's right to ask the government to correct an injustice?A) "establishment of religion"B) "freedom of the press"C) "peaceably to assemble"D) "redress of grievances" Show transcribed dataMatch the histograms on the right to the summary statistics givern 20 Standard Deviation 1.6 9 10 21 Mean Median 56 65 56 56 56 65 56 56 51 5355 57 59 61 (a) IV 20 (b)I (d)II 40 50 60 70 80 90 10 4 16 36 56 76 96 116 20 26 36 46 56 66 76 86 Select the correct answer.Which statement is true of the graphed function?f(x)-T-4m3-5m- 2nFR/m-11N772O- -5/m-E-2OA.The function is an odd function.OB.More information is needed to determine whether the graphed function is even, odd, or neither.OC. The function is an even function.OD. The function is neither an even nor an odd function. how many fifths are there in 4 wholes? (see the illustrate given) Nobody did the work. (Into Passive voice match the vocabulary to the part of expression below [tex]5 \times + 3y + 8 + x - 7[/tex]1. __ variabless. a. 5, 3, 12. __ constants. b. 8, -73. __coefficients. c. 5, 3y, -7 d. 5,3,-7 e. x, y In QRS , the nearest measure of The three for one benefit that comes with developing playgrounds does not include? how are ethics applied? 2. In an Ideal Rankine Cycle, the steam throttle condition is 8Mpa and 480C. If turbine exhaust is 60C, determine the following: a. Q A b. Wp c. QR d. Thermal eff e. Back work ratio What single decimal multiplier would you use to increase by 6% followed by a 9% decrease? t=1. I need as soon as possible2. [30 MARKS] Let t be the 7th digit of your Student ID. Consider the set S = [-10, 10] and answer each of the following questions:(a) [8 MARKS] Define the function g on S:g(x) :=if x [-10, t) =-x-t 1-ex-t) if x [t, 10]Plot this function in a graph and explain formally whether g is continuous on S. (b) [6 MARKS] Does g have a maximum and minimum on the set S? Prove or disprove. (c) [10 MARKS] Find the global maxima and minima of g on the set S if they exist. (d) [6 MARKS] Argue informally whether the sufficient conditions for maxima are sat- isfied.3 of 5PLEASE TURN OVER sunlyn is unsure of her path in life. she has not declared a major and does not know what she would like to do in her career. her opinion is often swayed by her friends and others in her circle. erikson would say that sunlyn is experiencing In 1819, Native American lands comprised how much of the continental United States? Which statement about the Virginia Plan is true? A.Congress would be unicameral. B.Congress would choose a National Executive. Which statement describes a host organism? A host shares nutrients with a parasite.A host loses nutrients to a parasite.A host immediately kills a parasite.A host is immediately killed by a parasite