Find and simplify. f(x) = 6x − 1 f(x+ h) − f(x) 6

Answers

Answer 1

The simplified expression for f(x+h) - f(x) / 6 is h.


 We need to find and simplify the expression f(x+h) - f(x) / 6 for the function f(x) = 6x - 1.

Step 1: Find f(x+h)
To find f(x+h), replace 'x' with '(x+h)' in the original function f(x) = 6x - 1.
f(x+h) = 6(x+h) - 1

Step 2: Simplify f(x+h)
f(x+h) = 6x + 6h - 1

Step 3: Subtract f(x) from f(x+h)
Now, subtract f(x) from f(x+h) to get:
(f(x+h) - f(x)) = (6x + 6h - 1) - (6x - 1)

Step 4: Simplify the expression
(6x + 6h - 1) - (6x - 1) = 6h

Step 5: Divide by 6
Now, divide the expression by 6:
(f(x+h) - f(x)) / 6 = 6h / 6

Step 6: Simplify the final expression
6h / 6 = h

So, the simplified expression for f(x+h) - f(x) / 6 is h.

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Related Questions

PLEASE I NEED HELP WITH THESE (Tuesday & Thursday)

Answers

On solving the question we can say that the , plot the equation by points in the graph to get the line in the graph.

What are equation?

Equations with graphs as the unknowns are known as graph equations. The concept of isomorphism is one of the key issues in graph theory. When are two graphs identical, we inquire? Different graph equations may be used to express the aforementioned graphs.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

The equation are

y = 1/2x - 2

for y = 0 , x= 4

and for x = 0 , y = -2

y = -3/4 x +

for y = 0 , x= 4

and for x = 0 , y = 3

Plot the points in the graph to get the line in the graph.

Again for

y = -2x + 1

for y = 0 , x = -1/2

for x= 0 , y = 1

and y = 3x -4

for y = 0 , x = 4/3

and for, x =0 , y = -4

again plotting the points in the graph.

similarly for

y + 2x = 3

for y = 0 , x = 3/2

and x = 0 , y = 3

plotitng the point in the graph we get the solution.

and 2y - 3x = 1

for y = 0 , x = -1/3

and x = 0 , y = 1/2

Plotting the points in the graph we can get the solution.

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.4
Similar triangles JKL and NOP, with dimensions in centimeters (cm), are shown.
+
4 cm
K 4 cm
2 cm
J 4 cm
N
What is the length, in centimeters, of side OP?
PLEASE HURRY JDJDJDJNDND

Answers

The length in centimeters of side OP is 8.

Properties of similar triangles.

A triangle is a plane figure which is bounded by three straight sides, and has a sum of its internal angle to be 180^o.

Two or more triangles can be referred to as similar if the corresponding sides and measure of corresponding internal angles have some common properties on comparison.

Thus on comparing the corresponding sides of the two given similar triangles, we have;

JK/ ON = KL/ OP

2/ 4 = 4/ OP

2OP = 4*4

       = 16

OP = 16/ 2

     = 8

OP = 8 cm

Therefore, the length of side OP is 8 cm.

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I also need help on this one please help

Answers

Answer: blue

Step-by-step explanation:

or b

Find four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term. Show your work.

Answers

Four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term are -35/3, -140/3, - 560/3, -2240/3 and 7, -28, 112, - 448  

Four numbers forming a geometric sequence can be calculate as follows

these terms: a₁, a₂, a₃, a₄

a₁ = a₂ + 35

a₃ = a₄ + 560

Use the formula for the n-term:

a₂ = a₁r

a₃ = a₁r²

a₄ = a₁r³

replace

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35

a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

Subtracting from the first equation to  the second:

r² = 560/35

r² = 16

r = √16

r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 35

1. a₁ = 35/-3 = -35/3

2. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

7, -28, 112, - 448  

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Marco is making blueberry muffins. The ratio between flour and blueberries for the recipe being used is shown in the table below.
Cups of Cups of
Flour Blueberries
14
21
22
How many cups of blueberries will Marco need if he has 2 cups of flour to use?
Acup
BO cup
2
6 cups
2
4
1
C014 cups

Answers

Therefore , the magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.

What is a ratio?

An ordered combination of numbers “ a ” and “ b that is stated as just a / b, where b not greater than zero, is referred to as a ratio. A ratio is the result of equating two ratios. If there were one boy and three girls, the ratio could be shown as 1:3.   1/4 are boys, and 3/4 are girls. A part is a number, a proportion of size, or a difference among two or more things.

Here,

Since: Marco To avoid your batter and bakery items acquiring a purple-blue tinge, wash freeze blueberries multiple times in water it until water becomes lighter in color.

The magic muffin ratio is 2:2:1:1, which equals 1-two cups and 2,8 cups.

With a paper towel, dry them off, and then delicately fold it into the batter. Maintaining the lightness of rapid breads is the aim of this process.

The magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.

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HELP ME QUICK
In Shawn's class, all the students have pets. Of those pets,1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?

Answers

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

Times

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

if the first angle is 34 more than the 2nd and the 3rd is 5 less than twice the first what are the angles of the triangle?

Answers

The angles of the triangle are 20.75, 54.75, 104.5

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°

Given here: if the first angle is 34 more than the 2nd and the 3rd is 5 less than twice the first. Let the second angle be x then first angle is x+34 and the 3rd angle is 2x+63

Using the triangle sum property we get

x+x+34+2x+63= 180

4x=83

x=20.75

Hence, the angles of the triangle are 20.75, 54.75, 104.5

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Is circumcenter acute or obtuse?

Answers

An acute triangle's circumcenter may be found inside, on, or outside the triangle. Exactly midway down the hypotenuse is where a right triangle's circumcenter is located (longest side). Every time an obtuse triangle is formed, its circumcenter lies outside the triangle.

What is a triangle's circumcenter?

The circumcenter of a triangle is the point where three perpendicular bisectors of its sides meet. A triangle's circumcenter is defined as the point at which the perpendicular bisectors of its own sides cross.  In all other senses, the circumcenter is the point at which a triangle's sides intersect to form a bisector.

Thus, circumcenter is acute or obtuse is depend on the triangle's circumcenter.

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An acute triangle's circumcenter may be found inside, on, or outside the triangle. Exactly midway down the hypotenuse is where a right triangle's circumcenter is located (longest side). Every time an obtuse triangle is formed, its circumcenter lies outside the triangle.

What is a triangle's circumcenter?

The circumcenter of a triangle is the point where three perpendicular bisectors of its sides meet. A triangle's circumcenter is defined as the point at which the perpendicular bisectors of its own sides cross.  In all other senses, the circumcenter is the point at which a triangle's sides intersect to form a bisector.

Thus, the circumcenter is acute or obtuse is depend on the triangle's circumcenter.

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Which of the following graphs does NOT describe y as a function of x?

HELP ASAP!

Answers

Answer:

The second graph is not a function of x

Step-by-step explanation:

Note : -

1st graph : f(x) = secant inverse x

3rd graph : f(x) = c (constant function)

4th graph : It is a function which is +ve

Sheila either walks or cycles to school
the probability she walks to school is 0.65

if she walks to school, the probability she is late is 0.4
If she cycles, the probability she is late is 0.1

Work out the probability that on any one day Sheila is late

Answers

The probability that Sheila is late on any one day is 0.295 or 29.5%.

We can use the law of total probability to find the probability that Sheila is late on any one day.

The law of total probability states that for any event B, the probability of event B occurring can be calculated by summing the probability of event B occurring given that event A has occurred, multiplied by the probability of event A occurring. Symbolically, this can be represented as:

P(B) = P(B|A1) * P(A1) + P(B|A2) * P(A2) + ... + P(B|An) * P(An)

In this case, event B is Sheila being late, and events A1 and A2 are Sheila walking or cycling to school, respectively. The probabilities of these events occurring are:

P(A1) = 0.65 (the probability that Sheila walks to school)

P(A2) = 0.35 (the probability that Sheila cycles to school, since 1- 0.65)

P(B|A1) = 0.4 (the probability that Sheila is late given that she walks to school)

P(B|A2) = 0.1 (the probability that Sheila is late given that she cycles to school)

Plugging these values into the equation gives:

P(B) = P(B|A1) * P(A1) + P(B|A2) * P(A2) = 0.4 * 0.65 + 0.1 * 0.35 = 0.26 + 0.035 = 0.295

So the probability that Sheila is late on any one day is 0.295 or 29.5%.

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Three children bought a ball. 1/2 of the money the first child took out is equal to 1/4 of the money taken out by the second child, but the third child took out $500 more than the first child. How much $ did each child make?

Answers

Using equations to solve the word problem, the first child withdrew $700, second child withdrew $1500, and third child withdrew $1250.

What is Word Problem

A word problem is a mathematical exercise that requires the student to read and understand a narrative description of a problem, identify the mathematical quantities involved, and then formulate and solve an equation to find the solution. Word problems often involve real-world scenarios such as shopping, money, and time.

Let's define our variables;

x = first childy = second childz = third child

We can proceed to write linear equations with our variables

1/2x = 1/4y ...eq(i)

z = 500 + x ...eq(ii)

From equation (i)

x = 1/2y

z = 500 + 1/2 y

x = 750

x = 1/2(y)

750 = 0.5y

y = 750 * 2

y = 1500

z = 500 + x

z = 500 + 750

z = 1250

The first child took out $750, the second child took out $1500, and the third child took out $1250.

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a₁
27. You invest an amount of money in mutual fund. After four years, the balance of your account is $1669.34
and after ten years, it is $2,576.29. If the amount of money that is in your account is said to be growing
exponentially, write a function that describes the amount of money in your mutual fund for time t. Then find
the value of the mutual fund after 15 years. (Hint: think y = ab*).

Answers

Answer:

417.335=x

Step-by-step explanation:

Find the lateral surface area and the total surface area of the following cylinder i.Radius =21cm and height= 45cm
ii.Radius =28cm and height=28

Answers

Answer:

Radius =21,  height = 45  
Lateral Surface Area = [tex]5937.61[/tex] cm²
Total Surface Area = [tex]8708.49[/tex]  cm²

Radius = 28, height =28
Lateral Surface Area =  [tex]4926.01[/tex] cm²

Total Surface Area  =  [tex]9852.03[/tex] cm²

Step-by-step explanation:

If r is the radius of a cylinder with height h

Lateral surface area

[tex]L = 2\pi rh[/tex]

Top and bottom surface area for each which is a circle is [tex]\pi r^2[/tex]

So total bottom and top surface area = [tex]2 \pi r^2[/tex]

Total surface area =

[tex]2\pi rh + 2\pi r^2 = 2\pi r(h + r)[/tex]

For r = 21, h = 45
[tex]L = 2 \pi \cdot 21 \cdot 45 = 1890 \pi = 5937.61 \;cm^2[/tex]

[tex]T = 2\pi \cdot 21 (21 + 45) = 2772 \pi = 8708.4948\;cm^2[/tex]

For r = 28, h = 28

[tex]L = 1568\pi = 4926.01 cm^2[/tex]

[tex]T = 3136\pi = 9852.03 \;cm^2[/tex]

In the diagram of the right triangle shown, find the value of c.A.112 B.20 C.16 D.784

Answers

Answer:c

Step-by-step explanation:

6.
In George's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students
A. 1:3
B. 3:1
C. 1:4
D. 4:1

Answers

b. 3:1

simplify the 6 to 2 ration by dividing by 2

Choose all of the correct statements.

Group of answer choices

The graph does not show a proportional relationship.

The graph is proportional because it is a straight line going through the origin.

The constant of proportionality is 10 calories per minute.

There is no constant of proportionality.

Answers

The correct statements on the graph of time and calories is:

The graph is proportional because it is a straight line going through the origin.The constant of proportionality is 10 calories per minute.

When is a graph proportional ?

When two numbers are multiplied or divided, there is a proportionate relationship. Although a linear equation frequently includes a proportional component in addition to some constant number, a linear relationship can also be proportional.

A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.

As shown in the graph, the straight line passed through the origin which means that it is a proportional relationship.

The constant of proportionality in this case is therefore:

= Calories at a minute / Minute

= 20 / 2 minutes

= 10 calories per minute

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Now consider just a small mass element of the string. What is the vertical velocity of the string at the origin at time, t

Answers

The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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what are the values of x and y in the diagram below

Answers

Answer:

b. x = 62 degree, y = 118 degree

Step-by-step explanation:

x is the vertical angle to the 62-degree angle, so x = 62 degree

We see that the angle x add with the angle y equal to 180 degrees, so to find y, we take

180 - 62 = 118 degree.

So, the answer is b. x = 62 degree, y = 118 degree

8 less than 3 times a number is at most 30

Answers

8 less than 3 times a number is at most 30 can be written as 8 < 3N ≤ 30

How to write and solve a word problem?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Since 8 less than 3 times a number is at most 30

Let the number be N

Thus, 8 less than 3 times a number is at most 30 can be written as:

8 < 3×N  ≤ 30

8 < 3N ≤ 30

Note: at most means less than or equal (≤)

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What does it mean aspect ratio 1 to 3?

Answers

Aspect ratio refers to the proportion of the width to the height of a rectangular image or screen. It is commonly represented as two numbers separated by a colon, such as 4:3 or 16:9.

An aspect ratio of 1:3 means that the width of the image or screen is one-third of its height. This aspect ratio is not commonly used for standard images or screen sizes but it can be used for special cases such as vertical videos.

In general, for images and videos, the aspect ratio of 4:3 was used in the past, but now the aspect ratio of 16:9 is more common, and it's the standard aspect ratio used in most modern televisions, computer monitors, and digital cameras.

Also, it's worth noting that the aspect ratio of 1:3 represents a very elongated shape, and it's not suitable for most practical uses, as it would not be able to display most standard content without black bars on the top and bottom of the screen.

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Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
y = 4x² +3

Answers

If rotating a graph around a point leaves the graph intact, the graph is said to be symmetric with respect to that point.

How to find graph is symmetric?

Since anything that is mirrored around a horizontal line will fail the Vertical Line Test, no function can by definition be symmetric about the x-axis (or any other horizontal line).

If rotating a graph around a point leaves the graph intact, the graph is said to be symmetric with respect to that point. When two points are always present on a graph, the graph is symmetric with respect to the origin.

If there is a point (a, b) on the graph for every (a, b) on the graph, then the graph is said to be symmetric with respect to the x axis, and f(x, y) = f(x, y).

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helo everyone i need help
if fourth and sixth terms of a Fibonacci sequence are 105 and 225 respectively what are the first seven terms of the sequence?

Answers

The first seven terms of the Fibonacci sequence are: 0, 1, 1, 2, 3, 5, 8, 105, 225.

What is sequence?

Sequence is an ordered arrangement of elements, usually numbers or objects, which follows a specific pattern. It is a mathematical concept that is used in a variety of areas, such as computer science, data analysis, and number theory. A sequence can be finite, like the first 10 numbers in the counting sequence, or it can be infinite, such as the set of natural numbers. It is important to understand the concept of a sequence in order to be able to use it in various areas.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers, starting from 0 and 1.

The Fibonacci sequence is named after mathematician Leonardo Fibonacci, who introduced the sequence in his book Liber Abaci in 1202.

The sequence is also known as the Golden ratio, because the ratio of successive numbers in the sequence converges on the Golden ratio of 1.618. The first seven terms of the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, and the fourth and sixth terms of the sequence are 105 and 225 respectively.

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What are the factors that allow exponential growth to occur?

Answers

Exponential growth occurs when an entity experiences a rapid increase in size or output. This type of growth can be seen in companies, economies, and populations, and it requires certain conditions to be in place in order to be successful.

Factors that allow exponential growth to occur

Abundant Resources: Access to abundant resources is a key factor for exponential growth to occur. This could be in the form of capital, resources, labor, and other inputs.Increasing Returns: Exponential growth requires increasing returns, which is when the output of a given input increases. This could be seen in the form of economies of scale, network effects, and other similar effects.Innovation: Innovation is another key factor for exponential growth. New products and processes can lead to a rapid increase in growth.Adaptability: The ability to quickly adapt to changing conditions is essential for exponential growth. Companies must be able to quickly adjust their strategies to capitalize on new opportunities.Risk Taking: Successful companies must be willing to take risks in order to achieve exponential growth. There are often no guarantees of success, but the potential rewards can be great.

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What do you understand by combination and substitution reaction give one example each class 10?

Answers

The substitution reaction is defined as a reaction in which a small or functional part of one chemical compound is replaced by another group of chemical compound, or it is a reaction in which one atom or molecule of a substance gets replaced by another atom or molecule.

There are certain conditions which are to be followed while a substitution reaction,

The temperatures should be kept low, just like the  room temperatureA strong base, such as NaOH, must be diluted for the reaction. If the base concentration is higher, there is a risk of dehydrohalogenation occurring.The solution must be aqueous in nature, example water.

The hydrolysis of alkyl bromide (R-Br) under basic circumstances is an example of a substitution process.  Example, R-Br + OH R -> OH + Br.

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Can somebody please help me with this ASAP? I need to show work too btw

Answers

Answer:

1) 92,22,66

2) 106,13,61

3) 87,34, 59

4)20,74,86

Step-by-step explanation:

1) Let the unknown angle be x

92 + 22 + x= 180( Sum of angles in a triangle )

114+ x = 180

x= 180-114

   =66

2) 106+ 13 + x =180

119 +x = 180

x= 180-119

x= 61

3) 59+34 +x = 180

93+x = 180

x= 180-93

   =87

4) 86+74 +x=180

160 +x =180

x= 180-160

 =20

Answer:

the correct answer has to be c

The following sample space could represent which repeated experiment?

S: {WW, WL, LW, LL}

Rolling a number cube twice
Rolling a number cube once
Playing a video game twice
Playing a video game once

Answers

The sample space, S: {WW, WL, LW, LL} represent the experiment Playing a video game twice.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

1. Rolling a number cube twice

Drawing a possibility space allows us to see all the 36 outcomes of throwing a cube twice.

So, this is not the required case.

2. Rolling a number cube once

Drawing a possibility space allows us to see all the 6 outcomes of throwing a cube once.

So, this is not the required case.

3. Playing a video game twice

This case can be considered because it gives 4 outcome of Winning(W) and Losing(L).

4. Playing a video game twice

This case cannot be considered because it gives 2 outcome of Winning(W) and Losing(L).

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Answer:

yep its C :)

Step-by-step explanation:

I got it right on my quiz.

Santiago can text 74 words in 4 minutes. At this rate, how many minutes would it take him to text 37 words?

Fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

To find the value of x in this situation, you can set up a proportion using equivalent ratios. The equivalent ratios will show the relationship between the number of words Santiago can text and the time it takes him to text them.

74 words : 4 minutes :: 37 words : x minutes

To solve for x, you can cross-multiply and divide:

74 * x = 37 * 4

x = (37 * 4) / 74

This simplifies to:

x = 2 minutes.

Step-by-step explanation:

y divided by 6.85=1.2
what dose y=

Answers

The value of y for the given conditions is 82.2.

What is division?

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given a phrase, y divided by 6.85=1.2

y ÷ 6.85 = 12

y/6.85 = 12

multiply both sides by 6.85

y/6.85(6.85) = 12 x 6.85

y = 82.2

Hence the value of y is 82.2.

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534 is what percent of 600?
show work

Answers

Answer:

89%

Step-by-step explanation:

534/600*100

= (534*100)/600

= 53400/600

= 89

Basics of percentage you can use this for also other unknown percentages just replace the “ 534 “ and the “ 600 “

Answer:

89‰

Step-by-step explanation:

[tex]\frac{534}{600} X100 = 89[/tex]‰

Which of the following statements best describes the value of the expression 12x + 12, when x = 8? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.

Answers

Answer: The result is a composite number

Hope this helps :)

Step-by-step explanation:

C

12x + 12, x=8

12*8 + 12

96 + 12

108

The number 108 is a composite number, but not prime and it is a whole number.

Other Questions
Calculate your % yield of co2 in the reaction based on the grams of nahco3 being the limiting reagent in the reaction. Drag each circle to the correct location on the image. Each circle can be used more than once, but not all circles will be used.Geologists have observed that a portion of Africa is breaking away from the main continent. This is happening because the African Plate is in the process of splitting up into two parts. Scientists have named the two new tectonic plates the Nubian Plate and Somalian Plate. Both of these plates are not only moving away from each other but also away from the Arabian Plate.Based on this information, determine the type of boundaries these two new plates would share with each other and the Arabian Plate. The first comic books were aimed at adults, but in June 1938, Action Comics introduced this genre of comic books aimed at children and young adults, beginning with Superman. 4. A 0.51 kg solution contains 87 mg of potassium iodide. Calculate the W/W concentrationof this solution. The fluid that enters vertebrate nephrons is called the filtrate. What is the source of the filtrate You are working in a community outpatient clinic where you perform the intake assessment on R.M., a 38-year-old woman who is attending graduate school and is very sedentary. Her chief complaint is overwhelming fatigue that is not relieved by rest. She is so exhausted that she has difficulty walking to classes and trouble concentrating when studying. She reports a recent weight gain of 15 pounds (6.8 kg) over 2 months without clear changes in her dietary habits. Her face looks puffy, she has experienced excessive hair loss, and her skin is dry and pale. She says she has general body aches and pains with frequent muscle cramps and constipation. You note she is dressed inappropriately warmly for the weather.Vital Signs (VS)Blood pressure (BP) 142/84mm HgHeart rate 52 beats/minRespiratory rate 12 breaths/minTemperature 96.8 F (36 C)Required:Compare her VS with those of a healthy person her same age. Why did the greeks conclude that the earth was stationary, and that the sun and the planets orbited around the earth? What part of the information processing system has an unlimited capacity, takes in information rapidly, and is almost an identical representation of the stimuli as it exists in the observable environment efer to HR Solutions, Inc. HRSI hopes that all companies can downsize simply by attrition, a word that, in this context, refers to a. being dismissed from the workforce. b. retiring early because employees are within a few years of retirement anyway. c. an increasing amount of work per employee. d. people leaving the company. e. increasing quality. I need help with the solution More positive outcomes have been reported when __________ for gambling disorder. Which volatility command displays the processes that were in the memory dump? The two dot plots below compare the forearm lengths of two groups of schoolchildren: Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group X and the title for the bottom plot is Forearm Length, Group Y. Below the line for each dot plot is written Length in inches. There are markings from 10 to 13 on each line at intervals of one. For the top line there are 4 dots above the first mark, 4 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 2 dots above the second mark, 2 dots above the third mark, and 6 dots above the fourth mark. Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length? Group X, because no child in the group has a forearm length longer than 12 inches. Group X, because four children in the group have the least forearm length of 10 inches. Group Y, because a child in the group has the least forearm length of 10 inches. Group Y, because six children have a forearm length longer than 12 inches. Which driver is communicating with others on the road in an appropriate manner?Lola changes lanes without signaling her intention.Weston follows the motorcycle in front of him closely.Theo speeds up when a pedestrian starts to cross the road.Emalee signals and moves to the left lane when passing a cyclist. Give the perimeter and the area of a square with sides that measure 9 cm. Identify some informal reasons why third parties have been unsuccessful at gaining elected office. One of the benefits of contracting with celebrities to endorse the company's brand of athletic footwear is When RNA polymerase synthesizes a new mRNA, interactions between the RNA polymerase, the DNA, and the RNA hold the complex together. When a hairpin loop forms in the nascent mRNA: What is the pH of a 0.0100 M sodium benzoate solution? Kb (C7H5O2-, ) = 1.5 x 10^-10A) 0.38 B) 5.91 C) 8.09 D) 9.82 E) 13.62 Find the equivalent expression of 20a + 28b.