A square has a perimeter of 32m. What is the length of each side. Pls help

Answers

Answer 1

Answer:

The length of each side is 8m.

Step-by-step explanation:

P=4s

32=4s

s=32/4=8

Answer 2
The length of each side is 8 because each side of a square is equal and a square has 4 sides so you use the equation perimeter/4 for all squares.

32/4 = 8

Related Questions

what is the value of s?
___ units​

what is the value of s?___ units

Answers

Through Pythagoras’ theorem:
(8x8) + (15x15) = 289
Square root of 289 = 17
The answer is 17 units.

What variables could be of interest to generate environmental data? Note: think of the variable, the sensors, and the data each Pollution levels Air quality Ozone concentration Storm intensity Vegetation density Earthquake intensity Wild life diversity You have used 1 of 4 attempts Save

Answers

The following are the variables that could be of interest to generate environmental data: Pollution levels: Pollution levels are a measure of the degree to which the air is contaminated.

Contaminants in the air, such as particulate matter and toxic gases, can be hazardous to human health and the environment, and monitoring them can provide valuable data on air quality.Air quality: Air quality refers to the level of pollution in the air. This could include measurements of various pollutants, such as nitrogen dioxide, sulfur dioxide, and particulate matter. This data can be gathered by a variety of sensors, including gas analyzers, particle counters, and spectrometers.Ozone concentration: Ozone concentration refers to the amount of ozone in the air. Ozone is a powerful oxidant that can have both beneficial and harmful effects on human health and the environment. Storm intensity: Storm intensity refers to the severity of a storm.

This could include measurements of wind speed, rainfall, and lightning activity. Data on storm intensity can be gathered using weather stations, Doppler radar, and lightning detection systems.Vegetation density: Vegetation density is a measure of how much plant life is present in a given area. This data can be used to monitor changes in ecosystems over time and to assess the impact of human activities on the environment. Vegetation density can be measured using satellite imagery, ground-based surveys, and remote sensing technologies.Earthquake intensity: Earthquake intensity refers to the strength of an earthquake. This could include measurements of ground motion, ground acceleration, and ground displacement. Data on earthquake intensity can be gathered using seismometers and other ground-based sensors. Wildlife diversity can be measured using a variety of techniques, including surveys, camera traps, and acoustic monitoring.

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How to tell the difference between permutation and combination?.

Answers

Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Farmer Cora has 128 onions to sell She wants to put the same number if onions in each bag without any onions left over. How many onions could Farmer Cora put in eache bag?

Answers

Answer:

Step-by-step explanation:

If Farmer Cora has a total of 128 onions and wants to place an equal number in each bags then, seeing since he has not decided on the amount of bags, he has the following options

128 onions in 1 Bag

64 onions in 2 Bag

32 onions in 4 Bag

16 onions in 8 Bag

8 onions in 16 Bag

4 onions in 32 Bag

2 onions in 64 Bag

1 onion in 128 Bag

Any of the above options will make each bag have an equal number of onions.

Evaluate ∬D (x2+y2)^3/2 dA, where D is the region bounded by y = − x,x^2+y^2 = 1and the x-axis in the second quadrant.

Answers

The double integral over the region D is equal to 3π/16.

We are given the region D in the second quadrant, which is bounded by the curve x^2 + y^2 = 1, the line y = -x, and the x-axis. To evaluate the double integral over this region, we will need to transform the integrand into a suitable form for integration. We start by using polar coordinates, which are well-suited for circular regions:

x = r cos(θ)

y = r sin(θ)

We can rewrite the equation of the circle as:

r^2 = x^2 + y^2 = 1

And the equation of the line as:

y = -x

Substituting the polar coordinates, we get:

r sin(θ) = -r cos(θ)

tan(θ) = -1

Since we are in the second quadrant, we have π/2 ≤ θ ≤ π. Thus, we have:

θ = -π/4

We can now transform the integrand using the polar coordinate substitution. We have:

(x^2 + y^2)^(3/2) = r^3

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 1

-π/4 ≤ θ ≤ π/2

Therefore, the double integral becomes:

∬D (x^2 + y^2)^(3/2) dA = ∫(-π/4)^(π/2) ∫0^1 r^3 * r dr dθ

= ∫(-π/4)^(π/2) [1/4 r^5]_0^1 dθ

= ∫(-π/4)^(π/2) 1/4 dθ

= [1/4 θ]_(-π/4)^(π/2)

= π/16 + π/8

= 3π/16

Therefore, the double integral over the region D is equal to 3π/16.

Double integrals are a fundamental concept in multivariable calculus, and are used to compute the volume or area of a solid or surface in 3D space.

In this problem, we are asked to evaluate a double integral over a region in the second quadrant that is bounded by a curve, a line, and the x-axis. The integrand is a function of x and y, which we will need to transform into a suitable form for integration.

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Anna want to ell toy car at a craft fair for $ 12 each. The material for each car cot $ 3. 50 and the table rental at the fair i 34 dollar for the day. How many car mut anna ell for her revenue to equal her expenence

Answers

The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

Algebra with one variable

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Price of each toy car = $12Material of each toy car = $3.5Rental table = $34 per day

Let's say

a = the number of toy cars sold

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

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F(x)=x²-1/x+1
F'(x)= Lim h=0 (x+h) -f(x)/h

Answers

Answer:

So the derivative of the function F(x) = x^2 - 1/x + 1 is F'(x) = 2x - (x - 1)/x^2.

Step-by-step explanation:

The derivative of the function F(x) = x^2 - 1/x + 1 can be found by using the limit definition of the derivative. The derivative is the rate of change of the function at a given point and it is calculated as:

F'(x) = Lim h=0 (x + h)^2 - 1/(x + h) + 1 - (x^2 - 1/x + 1)/h

Expanding the expression inside the limit and simplifying, we get:

F'(x) = Lim h=0 2xh + h^2 - (1 - hx)/(x + h)^2

Using L'Hopital's Rule, we get:

F'(x) = Lim h=0 2x + 2h - (x - 1)/(x + h)^2

As h approaches 0, the limit becomes:

F'(x) = 2x + 2(0) - (x - 1)/x^2 = 2x - (x - 1)/x^2

So the derivative of the function F(x) = x^2 - 1/x + 1 is F'(x) = 2x - (x - 1)/x^2.

I HOPE THAT YOU CAN HELP I WILL MARK BRAINLIEST

I HOPE THAT YOU CAN HELP I WILL MARK BRAINLIEST

Answers

Answer:

it's answer is D

-6 , -1 ,4 , 9

Hope it will help :)❤

Find the equation of the line passing through the following : (-1;6) and (-3;0)

Please help... ​

Answers

Answer:

Step-by-step explanation:

\((x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3\)

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

help please if you can thanks! ​

help please if you can thanks!

Answers

Answer:

The last option 8.5

Step-by-step explanation:

hope it helps

1. Factorize :
(a) 2x + 6


Answers

Answer:

2(x+3) is the correct answer

Step-by-step explanation:

2 × x=2x 2×3=6

2x+6

2(x+3)

Answer:

2x=6/:2

x=3

that's the answer

The Demand Curve For Original Artwoman Comics Is Given By
q = (433-p)^2/50
where q is the number of copies the publisher can sell per weekrit sets the price at (a) Find the price elasticity of demand when the prices at $35 per copy

Answers

The price elasticity of demand at a price of $35 per copy is:

E = - 14 * (35 / 69.62)

E = - 7.05

How to find the price elasticity of demand?

To find the price elasticity of demand, we first need to find the derivative of the demand function with respect to price:

\(q = (433 - p)^2 / 50\)

q' = (2 / 50) * (433 - p) * (-1)

q' = - (433 - p) / 25

Now we can find the price elasticity of demand at a price of $35 per copy:

E = (p / q) * (dq / dp)

E = (35 / q) * (- (433 - 35) / 25)

E = (35 / q) * (- 398 / 25)

E = - 14 * (35 / q)

To find q at a price of $35 per copy, we substitute p = 35 into the demand function:

\(q = (433 - 35)^2 / 50\)

q = 3481 / 50

q = 69.62

Therefore, the price elasticity of demand at a price of $35 per copy is:

E = - 14 * (35 / 69.62)

E = - 7.05

The negative sign indicates that the demand is elastic, meaning that a small change in price will lead to a relatively large change in the quantity demanded.

In this case, a 1% decrease in price will result in a 7.05% increase in quantity demanded.

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The area of a triangle is 40
the length is x+4 and the height is x
what is the value of x

The area of a triangle is 40the length is x+4 and the height is xwhat is the value of x

Answers

Answer:

16

Step-by-step explanation:

Area of a triangle = 1/2(b×h)

b or l = x+4

h = x

a = 40

1/2(x+4 × x) = 40

1/2(x+4 × x) = 40x + 4 × x / 2 = 40

4 × x = 4x

4x + x = 5x

5x/2 = 40

cross-multiply

40 × 2 = 5x

40 × 2 = 5x80 = 5x

divide both sides by 5

5x/5 = 80/5

5x/5 = 80/5x = 16

Find the area of the triangle below.

Find the area of the triangle below.

Answers

Answer:

203.5 units

Step-by-step explanation:

The equation to find the area of a triangle is:-

\(\frac{1}{2}\) x base x height

The base of this triangle is 37 units and its height is 11 units.

Substituting these values in the equation, we get:-

\(\frac{1}{2}\) x 37 x 11

\(\frac{1}{2}\) x 407

\(\frac{407}{2}\)

Area equals 203.5 units.

Answer:

203 1/2 or 203.5

Step-by-step explanation:

we know that a area of a triangle is base x height divided by 2. So we multiply the value of the base than the height of the unit of the base which contains 37x11 and then divide by 2 to get the inside of the triangle unit.

Kurt company purchased $5000 of merchandise from Marilyn company with terms of 2/10 n/40. What amount will Kurt company pay to Marilyn company if Kurt company takes advantage of the purchase discount?

Answers

If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.

To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.

The total amount of merchandise purchased is $5000.

To calculate the discount amount, we multiply the total amount by the discount percentage:

Discount amount = 2% of $5000 = 0.02 * $5000 = $100

Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.

The amount Kurt company will pay to Marilyn company is:

Total amount - Discount amount = $5000 - $100 = $4900

Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

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In Luther v Borden, 1849 the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government. T or F?

Answers

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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item that costs x dollars. He has a
Hudson goes to a store an buys an
coupon for 20%
off, and then a 5% tax is added to the discounted price. Write an expression in terms
of I that represents the total amount that Hudson paid at the register.

Answers

Answer:

bro just do it by ypur self

Answer:

x - .2x + .05(x - .2x)

Step-by-step explanation:

Let x = the original cost

x - .2x + .05(x - .2x)

We are taking the original cost and subtracting out the discount.

The tax is paid on the discounted cost.

You change percents to decimals by dividing by 100.

Which mathematical property is illustrated? ab + c = c + ab

Answers

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

Answer:

Commutative property

Step-by-step explanation:

plz give brainliest lol

Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)

Answers

The points on the graph ( b , c )

I hope I helped you ^_^

The table shows conversions of common units of length.

Approximately how many inches are in 2500 millimeters?

Please hurry up with your answer!!

Answers

Answer:

98.4252

Step-by-step explanation:

This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.

Answer:

It’s would be 98

Step-by-step explanation:

Have a good rest of your day:)

Determine if the two figures are similar by using transformations

Determine if the two figures are similar by using transformations

Answers

Step-by-step explanation:

they are the same because FIGH just the ENLARGEMENT of ABCD

The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent


I really need help

Answers

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

Sam has a goal of walking (3)1/2 miles by the end of the day. He walks (1)1/8 miles before lunch and 3/4 miles after resting. What is the remaining distance, in miles, that same needs to walk to reach his goal?

Sam has a goal of walking (3)1/2 miles by the end of the day. He walks (1)1/8 miles before lunch and

Answers

Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.

To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.

Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:

Total distance walked = (1)1/8 + 3/4

To add these fractions, we need to find a common denominator, which is 8 in this case

Total distance walked = (9/8) + (6/8)

= 15/8

= 1 (7/8)

Now, we subtract the total distance walked from Sam's goal distance:

Remaining distance = (3)1/2 - 1 (7/8)

To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:

Remaining distance = (6/2 + 1/2) - (15/8)

= (12/8 + 1/8) - (15/8)

= 13/8 - 15/8

= -2/8

= -1/4

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How do you decide if a decimal is a rational​ number?

A. Check whether the decimal never terminates nor repeats.
B. All decimals are irrational numbers.
C. Check whether the decimal terminates in 0s or repeats.
D. All decimals are rational numbers

Answers

A.  if it repeats it is irrational if it terminates it is rational

Write each expression in standard form.

6(−5 − 4)− 2( − 7 − 3)

Answers

Answer:

heyyy wassuppp

Step-by-step explanation:

true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.

Answers

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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If the variance is 4.4 grams, what is the standard deviation? Leave your answer with one decimal place.

Answers

If the variance is 4.4 grams , then the standard deviation will be equal to 2.1 .

The Standard Deviation is defined as the square root of the variance, and is a measure of the amount of variation or dispersion of the data around the mean. It's expressed in same units as data.

The variance of data is = 4.4 grams,

In order to find standard deviation , we take square root of variance ;

⇒ √4.4 ≈ 2.1  ;

This means that on average, the data points in the set are about 2.1 grams away from the mean.

Therefore , the standard deviation is approximately 2.1 .

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Natalie needs to compare the number of employees by job title for the last five years. Which of the following charts should Natalie use?
Answers: A. Pie chart
B.Clustered column chart
C.Histogram
D.Scatter chart

Answers

Natalie should use Clustered Column Chart.

What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.

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The Dance Marathon is a 30 hour event during which people can make online or cash donations. Assume that 70% of the donations are made online and all other donations are made by cash. Donations can be modeled using a Poisson Process with a rate of 7 donations per hour.
a) How many donations can the organization expect to receive during the event?
b) If every online donation is $100 and every cash donation has an equal probability of being either $25 or $75, how much money does the event expect to bring in?

Answers

a)The organization can expect to receive a total of 210 donations during the event.

b)Total expected amount $17,850.

a) To answer this question, we need to first find the expected number of online donations and the expected number of cash donations.

The total rate of donations is 7 donations per hour, so the rate of online donations is 0.7*7=4.9 donations per hour and the rate of cash donations is 0.3*7=2.1 donations per hour.

Using the Poisson distribution formula, we can find the expected number of online donations:

Expected number of online donations = (rate of online donations)*(duration of event in hours) = 4.9*30 = 147

Similarly, we can find the expected number of cash donations:

Expected number of cash donations = (rate of cash donations)*(duration of event in hours) = 2.1*30 = 63

Therefore, the organization can expect to receive a total of 147 + 63 = 210 donations during the event.

b) To find the expected amount of money the event will bring in, we need to first find the expected amount of money from online donations and the expected amount of money from cash donations.

The expected amount of money from online donations is simply the expected number of online donations multiplied by the amount of each donation, which is $100. So:

Expected amount of money from online donations = (expected number of online donations)*(amount of each online donation) = 147*$100 = $14,700

To find the expected amount of money from cash donations, we need to first find the probability of each cash donation being $25 or $75. Since the two possibilities are equally likely, the probability of a cash donation being $25 is 0.5 and the probability of a cash donation being $75 is also 0.5.

Using this information, we can find the expected amount of money from cash donations:

Expected amount of money from cash donations = (expected number of cash donations)*(expected amount of each cash donation) = 63*((0.5*$25) + (0.5*$75)) = 63*$50 = $3,150

Therefore, the event is expected to bring in a total of $14,700 + $3,150 = $17,850.
a) To calculate the expected number of donations during the 30-hour Dance Marathon, you can multiply the rate of donations per hour (7) by the total number of hours (30).

Expected donations = 7 donations/hour * 30 hours = 210 donations

b) To calculate the expected amount of money raised during the event, first determine the number of online and cash donations. Since 70% of donations are made online:

Online donations = 210 donations * 0.7 = 147 donations
Cash donations = 210 donations * 0.3 = 63 donations

Next, calculate the expected amount of money from online and cash donations. Since each online donation is $100:

Online donation total = 147 donations * $100 = $14,700

For cash donations, there is an equal probability of receiving $25 or $75. The expected value for a cash donation is the average:

Expected value of cash donation = ($25 + $75) / 2 = $50

Now, calculate the total expected amount from cash donations:

Cash donation total = 63 donations * $50 = $3,150

Finally, add the online and cash donation totals to get the expected amount raised:

Total expected amount = $14,700 + $3,150 = $17,850

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Let x and y be real numbers such that x < 2y. Prove that if
7xy ⤠3x2 + 2y2, then 3x ⤠y.

Answers

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Draw a supply and demand diagram showing the case of a good that has an external cost when it is produced. Show the efficient quantity, the quantity that will be produced without any government action (that is, the private market equilibrium quantity) and illustrate the deadweight loss. Over the past hundred years humans have decreased the species extinction rate. True or false When the volume of a gas is changed from __ mL to 852 mL, the temperature will change from 315 degrees C to 452 degrees C What was the main cause of ww1? The formula used to convert degrees Celsius to degrees Fahrenheit isF=?C +32Convert 68F to degrees Celsius. Solve the formula for C, and then use it toconvert the temperature.Which is the correct formula and conversion? This refers to a category of people who are perceived as physically distinctive on the basis of certain trains such as skin, color, hair texture and facial featuresrace What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units What does texture mean in a photo ? Helppp me plssss guys Project Manager Suzy Q is involved in managing two different sellers, one of whom is performing under a fixed-price contract type and the other that is performing under a cost-reimbursable contract type. Describe (a) which phase of Project Procurements Suzy Q is in, and (b) what tools and techniques that Suzy Q could use to manage each sellers performance under their respective contracts, and how the two differing contract types might require different tools and techniques. give me an answer i dont need an explanation both would be nice thank you What is the difference between normal score and standard score? A newly discovered planet has an atmospheric pressure of 900 mm/Hg. The oxygen concentration is 18%. What is the pO2 which document specifies the amount of the mortgage loan, the interest rate, loan term, and repayment schedule g Which of the following would not be the best heading for the subheading "Chocolate cream pie"? A. Desserts B. Chocolate C. Appetizers D. Pies and tarts a client with diarrhea has not had any improvement after taking loperamide for two days. which action will the nurse take to help this client? contrary to a flashback, a writer can also provide a ___________ where the reader is given a glimpse into what's to come and the stakes of the plot are increased. studies have shown that companies with high levels of ______ outperformed their peer companies in operating income, net income growth, and earnings per share growth. Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0ii) H_0: rho = 0, H_1: rho notequalto 0iii) H_0: rho notequalto 0, H_1: rho = 0iv) H_0: rho = 0, H_1: rho > 0b. Construct a scatterplot. Choose the correct graph below.c. The linear correlation coefficient r is.d. The test statistic t is.e. The P-value is. a nurse is helping to plan a teaching session for a client who will be discharged with a colostomy. which statement to the client would the nurse use to describe a healthy stoma? Write an informal letter. you may answer an actual letter from a friend, write to a friend, or make up a letter. here is your goal for this lesson: write a socially appropriate informal letter remember the things you have learned about writing informal letters. be sure your letter is lively and interesting. make sure your letter contains a salutation, body, closing, and signature. use the level of formality appropriate to the person you are addressing. your letter should be at least 125 words long. you will be graded on the following criteria: 1. letter contains all appropriate elements and length. 2. letter contains appropriate level of formality.