Someone help me please. The net signed area in the above graph can be written as……

Someone Help Me Please. The Net Signed Area In The Above Graph Can Be Written As

Answers

Answer 1

The net signed area in the above graph can be written as

(x² + 10x - 2√2)dx.

How do we know?


The net signed area can be found by summing the areas of the three parts:

The three being

  A line with slope 2   A Vertical line   The area under the Parabolic curve

Hence the area

: 48 + 0 + 8 = 56

We now calculate values:

of c, d, a, and b:

c = 8 - (-2) = 10

d = 3 - 2 = 1

a = 2 + 8 = 10

b = -2√2

It is important to  note that since the area under the x-axis is negative hence the reason value of b is negative.

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Related Questions

Solve |x-5| > -2. Write your solution in interval notation.

Answers

Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

13/ 14 by 26 /49 simplify ​

Answers

Hello!

13/14 x 26/49

= 13x26/14x49

= 338/686

= 169/343

Using the region names in the image below, select all regions that represent:

A ∩ B' ∩ C'

3 group Venn Diagram with Roman numeral labeled regions

A intersection not B intersection not C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.

Answers

Answer:

region I

Step-by-step explanation:

Based on the description given, the regions that represent A ∩ B' ∩ C' are:

Region I: Items only in group A, not in B or C. (A intersection not B intersection not C)

These regions fulfill the condition of being in group A (A) and not in group B (B') and not in group C (C') simultaneously.

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If triangle has a side 16.5 side 29 and side x What is value of x

Answers

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

[tex]x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\[/tex]

The difference between the two sides rule

[tex]29 - 16.5 < x \\ 12.5 < x[/tex]

Therefore, the value of x is 12.5

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what is 37 and 1/4 x 24

Answers

Answer is 894

To solve this simply you can do 1/4 x 24 = 6, and then do 37 x 24 = 888. Add the two together to get 894. Can also simply plug 37.25 x 24 into a calculator, but the former solution is easier to do by hand.

Determine whether each pair of triangles are similar. Justify your answer.

Answers

(1) The triangles ABC and DEF are not similar

(2) The triangles JKL and JMN are similar by the SAS similarity statement

(3) The triangles ABC and XYZ are similar

(4) The triangles PQR and TSR are similar

Identifying the similar triangles in the figure.

(1) Triangle ABC and DEF

The triangles in this figure are

ABC and DEF

These triangles are not similar is because:

The triangles do not have similar corresponding sides i.e. Ratio = 30/24 ≠ Ratio = 24/18

Evaluate

Ratio = 1.25 ≠ Ratio = 1.33

(2) Triangle JKL and JMN

The triangles in this figure are

JKL and JMN

"If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar"

This means that they are similar by the SAS similarity statement

(3) Triangle ABC and XYZ

The triangles in this figure are

ABC and XYZ

These triangles are similar is because:

The triangles have similar corresponding sides i.e. Ratio = 33/22 = 45/30 = 42/28

Evaluate

Ratio = 1.5

(4) Triangle PQR and TSR

The triangles in this figure are

PQR and TSR

These triangles are similar is because:

The triangles have similar corresponding sides i.e. Ratio = 10/5 = 9/4.5

Evaluate

Ratio = 2

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A square has the perimeter of 88cm, find the area of the square​

Answers

Answer: 484cm

Step-by-step explanation:

Every side of a square has equal lengths.

88/4 = 22

A = LW

   = 22 x 22

   = 484cm

How do I factor an expression

Answers

To factor an expression, you need to find the common factors of the terms in the expression. Then, group the terms with common factors together and factor out the common factor. This process can be repeated until the expression is completely factored.

What is x-3(9+7)x-(-3x)

Answers

x - 3(9+7)x-(-3x) equals -43x, which is the answer we get after applying the order of operations.

To simplify this expression, we need to use the order of operations, which is PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). We can simplify the expression step-by-step, following the rules of PEMDAS.
First, we need to simplify the parentheses, which contain an addition operation. We have:
x - 3(9 + 7)x - (-3x)
= x - 3(16)x + 3x   (remember that -(-3x) is the same as +3x)
= x - 48x + 3x     (multiplying 3 by 16 gives us 48)
= -44x + x
= -43x


Therefore, the expression x - 3(9+7)x-(-3x) simplifies to -43x.
In summary, x - 3(9+7)x-(-3x) equals -43x, which is the answer we get after applying the order of operations. Remember to follow the rules of PEMDAS carefully, and take your time simplifying each part of the expression.

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¿Cual es la longitud del lado de un cuadrado de ´área 441 cm2 ?

Answers

Answer:21 cm.

Step-by-step explanation:

Para encontrar la longitud del lado de un cuadrado con un área de 441 cm², podemos usar la fórmula del área de un cuadrado.

El área de un cuadrado se calcula elevando al cuadrado la longitud de uno de sus lados, es decir, A = L², donde A es el área y L es la longitud del lado.

Dado que el área del cuadrado es 441 cm², podemos escribir la ecuación:

441 = L²

Para encontrar L, podemos tomar la raíz cuadrada de ambos lados de la ecuación:

√441 = √L²

21 = L

Por lo tanto, la longitud del lado de un cuadrado con un área de 441 cm² es de 21 cm.

A rocket is launched upward with an initial velocity of 1960 m/s. After how many minutes does it fall to the ground? (in meter the formula h=rt-4.9t^2 is used

Answers

Answer:

3.33 minutes

Step-by-step explanation:

h = rt - 4.9t^2

In this case, the rocket is launched upward, so the initial velocity (r) is positive 1960 m/s. The rocket will fall to the ground when the height (h) becomes zero.

0 = 1960t - 4.9t^2

To solve this quadratic equation, we can set it equal to zero and use the quadratic formula:

4.9t^2 - 1960t = 0

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Here, a = 4.9, b = -1960, and c = 0. Plugging in these values:

t = (-(-1960) ± √((-1960)^2 - 4 * 4.9 * 0)) / (2 * 4.9)

Simplifying further:

t = (1960 ± √(3841600)) / 9.8

t = (1960 ± 1960) / 9.8

t = 1960 / 9.8 = 200

So, the rocket will fall to the ground after 200 seconds. To convert this to minutes, divide by 60:

200 seconds / 60 = 3.33 minutes (approximately)

Therefore, the rocket will fall to the ground after approximately 3.33 minutes.

Find the cross product of v = (1, 0, 1) and u = (2, 6, 4).

Answers

Answer:

The cross product of v x u is (-6, 2, 6).

Step-by-step explanation:

The two vectors are v = ( 1, 0, 1)  and u = (2, 6, 4).The formula for vector cross product v x u.v x u = ( v₂u₃ - v₃u₂, v₃u₁ - v₁u₃, v₁u₂ - v₂u₁).

so,

   v x u = ( 0 x 4 - 1 x 6 , 1  x 2 - 1 x 4, 1 x 6 - 0 x 2)

   v x u = ( 0 - 6, 2 -4, 6 - 0)

   v x u = ( -6, 2, 6)

Therefore the cross product of u, v is ( -6, 2, 6).

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I WILL GIVE 5 STARS, BRAINLIEST AND A HEART TO WHOEVER HELPS ME
IM BEGGING YOU PLEASE
(Please answer all the questions)

Answers

Answer:

1. Group B

2. Group A

3. The median.

Answer:

1. Group B has the lowest age range out of both groups. Group B has at least 18 students under 16 and Group A has ages from 5 through 30.

2. Group A has more of a variability of ages because it is more scrambled than Group B. Group B had more students that had ages that were all close to each other.

3. I think it's best to use the median because it measures the age above which is found. If we use the mean, it will only be calculated by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

please help! thank uu ~ :)

Answers

Answer:

The word or phrase that describes the probability that Ariana will win the raffle if she buys 50 tickets is "likely." Therefore, option (d) is the correct choice.

Since there are 100 tickets in total and Ariana buys 50 of them, her chance of winning the raffle is 50/100 or 1/2, which is equal to 0.5 or 50%. This means that it is more likely than not that she will win the raffle, but it is not guaranteed, as there is still a 50% chance that someone else will win the prize.

What the dude on top said

Which sun difference is modeled by the algebra tiles?

Answers

The sum or difference that is modeled by the algebra tiles is option D. (-x² + 2x + 3) + (-x² - 2x - 1) = -2x² + 2

What are algebra tile?

Algebra tiles are physical manipulatives used to teach and visualize algebraic concepts. They consist of small, square-shaped tiles that represent different algebraic expressions or values. The tiles come in different colors to represent positive and negative numbers, variables, and constant terms.

Here are the common types of algebra tiles:

1. Unit Tiles: These tiles represent the number one. They are typically square-shaped and are often the base tiles used to build other expressions.

2. Variable Tiles: These tiles represent variables or unknowns. They are usually rectangular in shape and may have different colors to distinguish between different variables.

3. Positive and Negative Tiles: Tiles of different colors, usually red and blue, are used to represent positive and negative values. These tiles can be combined or separated to illustrate operations like addition and subtraction.

4. Area/Rectangle Tiles: These tiles are used to represent quadratic expressions or algebraic expressions involving products or factoring. They are rectangular in shape and can be arranged to model multiplication, factoring, or area representation of polynomials.

Therefore, the type of the algebra tiles in the given question is that of Positive and Negative tiles.

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if the measure of boa=44 and the radius of circle o is 4 what is the length plesa HURRY

Answers

Answer:

To determine the length you're referring to, we need more information about the specific configuration or diagram you're referring to. Please provide additional details or clarify your question so that I can assist you more accurately.

Step-by-step explanation:

6.334*104=6.334*10<sup>4</sup>=​

Answers

Answer:

what's that

Step-by-step explanation:

csc² 0 - cot²0 - sin² 0 = cos² 0

Answers

Answer:

  see below

Step-by-step explanation:

You want to show that csc²(θ) -cot²(θ) -sin²(θ) = cos²(θ).

Proof

It often works well to express the trig functions in terms of sine and cosine. The identity sin²(θ) +cos²(θ) = 1 is also useful.

  [tex]\csc^2\theta-\cot^2\theta-\sin^2\theta=\cos^2\theta\\\\\dfrac{1}{\sin^2\theta}-\dfrac{\cos^2\theta}{\sin^2\theta}-\sin^2\theta=\cos^2\theta\\\\\\\dfrac{1-\cos^2\theta}{\sin^2\theta}-\sin^2\theta=\cos^2\theta\\\\\\\dfrac{\sin^2\theta}{\sin^2\theta}-\sin^2\theta=\cos^2\theta\\\\\\1-\sin^2\theta=\cos^2\theta\\\\\cos^2\theta=\cos^2\theta\qquad\text{Q.E.D.}[/tex]

<95141404393>

Directions: Use the given rules to complete the table for each sequence and
create the ordered pairs. Plot the ordered pairs on the coordinate plane and
connect them in order. Then, write a short description of how the corresponding
terms are related.
1. Rule 1: 2y, where y is equal to 5, 6, 7, 8, 9.
Rule 2: Add 10, then subtract 9, starting from 5.
Sequence 1
Sequence 2
Ordered Pair
What is the relationship between the
corresponding terms in the two sequences?

Answers

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

How to explain the sequence

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

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100 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Hello !

1. Explanation

student's number / total students

9)

288/360 = 0,8

⇒ it's C

10)

90/360 = 0,25

⇒ it's B

Have a good day!

Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?

Answers

To determine the time at which Jack's mother caught up to him, we need to calculate the time it took for her to catch up based on the relative speeds of both individuals.

Let's break down the information given:

- Jack's speed: 32 km/h
- Jack left at 6 a.m.
- Jack's mother's speed: 52 km/h
- Jack's mother discovered the homework 15 minutes after Jack had left.

First, we need to convert the 15 minutes of delay into hours. There are 60 minutes in an hour, so 15 minutes is equal to 15/60 = 0.25 hours.

Now, let's calculate the time it took for Jack's mother to catch up to him:

Distance traveled by Jack in 0.25 hours = Jack's speed * time
Distance traveled by Jack in 0.25 hours = 32 km/h * 0.25 hours = 8 km

Since Jack's mother is traveling at a faster speed than Jack, she will cover this distance faster. To determine the time it takes for her to catch up, we divide the distance by her speed:

Time taken for Jack's mother to cover 8 km = Distance / Speed
Time taken for Jack's mother to cover 8 km = 8 km / 52 km/h ≈ 0.154 hours

Now, we can add this time to the initial delay of 0.25 hours to find out when Jack's mother catches up to him:

Time when Jack's mother catches up to him = 6 a.m. + 0.25 hours + 0.154 hours

To simplify the calculation, we can convert the minutes into hours:

0.25 hours + 0.154 hours = 0.404 hours

Converting back to minutes:

0.404 hours * 60 minutes/hour ≈ 24.24 minutes

Adding this to the initial time of 6 a.m.:

Time when Jack's mother catches up to him ≈ 6:24 a.m.

Therefore, Jack's mother catches up to him at approximately 6:24 a.m.

In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?

Answers

The GPA of the student who earned a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "B" in Microbiology is 3.

How to find the values

To calculate the GPA, we need to assign point values to each grade and then calculate the weighted average.

Given:

Trigonometry (C) = 2 points

American History (B) = 3 points

Botany (A) = 4 points

Microbiology (B) = 3 points

To calculate the GPA, we'll sum the total points earned and divide by the total number of courses:

Total Points = 2 + 3 + 4 + 3 = 12

Total Courses = 4

GPA = Total Points / Total Courses = 12 / 4 = 3

Therefore, the GPA of the student who earned a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "B" in Microbiology is 3.

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Solve.
A. A furniture truck is carrying five couches. Each couch weighs 250 pounds. How many
more couches are needed to increase the truckload to one ton?

Answers

Answer:

three more couches are needed to increase the truckload to one ton.

Step-by-step explanation:

First, let's calculate the weight of the five couches:

5 couches * 250 pounds/couch = 1250 poundsSince one ton is equal to 2000 pounds, we can subtract the weight of the couches from one ton to find out how much additional weight is needed:

2000 pounds - 1250 pounds = 750 poundsEach couch weighs 250 pounds, so we can divide the additional weight needed by the weight of each couch to determine how many more couches are needed:

750 pounds / 250 pounds/couch = 3 couches Therefore, three more couches are needed to increase the truckload to one ton.

7 more couches ,
2,000 ponds in a ton
1 couch is 250
2,000 divided by 250 is 8
8 minus the 1 couch you already have
is 7

Rewrite the following in the form log(c). 2log(5)

Answers

The expression 2log(5) can be rewritten as log(25) in the form log(c), representing the Logarithm to the base 10 that yields the value 25.

The expression 2log(5) in the form log(c), we can use the logarithmic property that states:

nlog(b) = log(b^n)

Applying this property, we can rewrite 2log(5) as:

2log(5) = log(5^2)

Simplifying further, we have:

2log(5) = log(25)

Therefore, the expression 2log(5) can be written in the form log(c) as log(25).

The logarithmic function log(c) represents the exponent to which a given base must be raised to obtain the value c. In this case, log(25) represents the exponent to which the base 10 must be raised to obtain the value 25.

In summary, the expression 2log(5) can be rewritten as log(25) in the form log(c), representing the logarithm to the base 10 that yields the value 25.

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Next
7
Post Test: Ratios and Proportional Relationships
Select the correct answer.
Area Buckeye Butterflies Monarch Butterflies
A
B
C
D
E
Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living
there. The table shows her findings.
OA
OB.
n. All rights reserved
15
27
12
24
44
areas A and B
areas C and E
Submit Test
16
36
25
32
33
The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two
areas have buckeyes and monarchs in the same proportion?
Reader Tools

Answers

The two areas where buckeyes and monarchs have the same proportion are areas A and B.

How to determine the  two areas have buckeyes and monarchs in the same proportion

Based on the information given, we can determine the two areas where the number of buckeye butterflies and the number of monarch butterflies are in the same proportion.

Comparing the data in the table, we can see that the ratio of buckeye butterflies to monarch butterflies is consistent in areas A and B.

In area A, there are 15 buckeye butterflies and 27 monarch butterflies, which simplifies to a ratio of 5:9.

In area B, there are 27 buckeye butterflies and 48 monarch butterflies, which also simplifies to a ratio of 5:9.

Therefore, the two areas where buckeyes and monarchs have the same proportion are areas A and B.

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You jump 3 1/2 feet. How far do
you jump in inches?

Answers

Answer:  42 inches

Step-by-step explanation: Simple Math.

Answer: 42 inches

Step-by-step explanation:

There is 12 inches per foot and 6 inches for every 1/2 a foot so 12 x 3 = 36 + 6 = 42 inches

6. Suppose this preference schedule gives the results of an election among three candidates: Abe
(A), Benny (B), and Chloe (C). Which candidate, if any, wins using the plurality method?
number of votes 20 19 5
A|B|C
B CB
1st
2nd
3rd
CAA
O Abe (A)
OBenny (B)
O Chloe (C)
ONo candidate wins using the plurality method.
(1

Answers

Benny (B) would win the election using the plurality method.

To determine the winner using the plurality method, we need to calculate the total number of first-place votes for each candidate and see which candidate receives the most votes.

According to the given preference schedule, the number of first-place votes for each candidate is as follows:

Abe (A): 1st - 20 votes, 3rd - 2 votes (from the 2nd preference of voter 1)

Benny (B): 1st - 19 votes, 2nd - 5 votes

Chloe (C): 1st - 5 votes, 2nd - 19 votes, 3rd - 3 votes (from the 1st and 2nd preferences of voter 1)

Now, let's calculate the total number of first-place votes for each candidate:

Abe (A): 20 + 2 = 22 votes

Benny (B): 19 + 5 = 24 votes

Chloe (C): 5 + 0 + 3 = 8 votes

Based on the plurality method, the candidate with the highest number of first-place votes wins.

In this case, Benny (B) received the most first-place votes with a total of 24 votes.

Therefore, Benny (B) would win the election using the plurality method.

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A survey asked 1,200 students which movie genre was their favorite. The results of the survey are shown in the circle graph. How many students chose comedy movies than drama movies

Answers

The number of students who chose comedy movies more than drama movies were 60 students

How to find the students ?

First, find the number of students who chose comedy :

= 20 % x 1, 200 students

= 0. 20 x 1, 200

= 240 students

Then find the students who chose drama movies ;

= 15 % x 1, 200

= 0. 15 x 1, 200

= 180 students

The number who chose comedy more :

= 240 - 180 students

= 60 students

In conclusion, the number of students who chose comedy more than those who chose drama was 60 students.

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Joe is working out by riding his bike. He starts by biking at a constant rate. Then he gradually picks up speed until he reaches his peak. He maintains this peak speed for the rest of the workout

Answers

The graph that represents the motion of Joe on his bike is: Graph D

How to Interpret Speed Time Graph?

A speed time graph is defined as a graph that shows the motion of an object against time. They can also be referred to as even a velocity-time graph.

In a speed-time graph, we note that the speed is always plotted on the vertical axis and time is always plotted on the horizontal

Now, since Joe started at a constant rate, then it means that the line will be horizontal.

When he picks up the pace, the graph line will ascend upwards and when he maintains the peak speed, it means that the graph line remains horizontal.

Thus, option D is the correct option.

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You are washing cars over the summer. It costs you $3 to wash each car and a one-time cost of $35 for some supplies to market your car wash. You plan to charge $10 per wash. Write an equation and solve to determine the amount of cars you need to break even.

Answers

The amount of cars you need to break even is 5.

To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.

Let's denote the number of cars as x.

Revenue = Number of cars × Price per wash

= x × $10

Total cost = Cost per car × Number of cars + One-time cost

= $3x + $35

To break even, the revenue should be equal to the total cost:

x × $10 = $3x + $35

Now, let's solve this equation to find the value of x:

10x = 3x + 35

Subtract 3x from both sides:

10x - 3x = 3x + 35 - 3x

7x = 35

Divide both sides by 7:

x = 35 / 7

x = 5

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Economic sanctions can include which of the following actions?-Bans on investment-Trade embargoes lutheranism was attractive to many princes in germany because in which of the following languages is it customary to separate the specification from the implementation when defining an abstract data type? Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the left of z is 0.2090. (Enter negative value as negative number.) b. The area between -z and z is 0.9050. c. The area between -z and 'z is 0.2128. d. The area to the left of z is 0.9953. e. The area to the right of z is 0.6915. (Enter negative value as negative number.) many factors might influence the impact of exercise interventions on hrqol, including whether .a. people value the physical, psychological, and social domains of life.b. exercise is performed for health promotion, rehabilitative, or disease management purposes.c. other hrqol-enhancing interventions are combined with exercise interventions.d. all of the above john snow is called the father of modern epidemiology because: what do unconventional oil and gas plays have in common How many grams of solute are needed to prepare each of the following solutions?a) 1.00 L of 0.160 M NaClb) 2.50 102 mL of 0.150 M CuSO4c) 5.00 102 mL of 0.385 M CH3OH during gestation contraction of the myometrium is inhibited by Determine whether the expression 3m^3np^6 is a monomial. Write a rule for the nth term of the arithmetic sequence. a5 = 41, a10=96 T/F. We can test the zero conditional mean assumption by estimating the simple regression model and examining the covariance between the residuals and the explanatory variable a 20.0 ml sample of hcl is titrated with 25.0 ml of 0.20 m sr(oh)2 . what is the concentration of the acid? malware forensics is also known as internet forensics. t/f You are given the function h(t) = t + 2t + 1. Find h(-2). Provide your answer below: h(-2) = classify the sets of bones below as being part of the axial skeleton or the appendicular skeleton A group of technology students is interested in whether haptic feedback (forces and vibrations applied through a joystick) is helpful in navigating a simulated game environment they created. To investigate this, they randomly assign 20 students to each of three joystickcontroller types and record the time it takes to complete a navigation mission. The joystick types are (1) a standard video game joystick, (2) a game joystick with force feedback, and (3) a game joystick with vibration feedback. The data collected included an ID variable that uniquely identifies each student, which of the three types of joystick was used, the time taken to complete the navigation mission, the age of the student, and the student's satisfaction with the navigation,rated on a scale of 1 to 5 with 5 being the highest satisfaction.a. What are the cases?b. Identify the variables and their possible values.c. Classify each variable as categorical or quantitative.d. Was a label used? Explain your answer.e. Summarize the key characteristics of your data set. the name of the 1776 book authored by adam smith noting that the operation of a market economy creates unity between private and social interests is called ______. B&D Online sells 17,000 different items through its website. Only 3,100 of the items were demanded in a given week, but fortunately,demand exceeded inventory with only 153 items.(Round your answer to 1 decimal place.)What was their in-stock probability? When a protein attracts or releases hydrogen, it acts as aA) hydrogenator.B) buffer.C) transporter.D) limiter.