This is the function f(x)= x2 − 4x + 6 .


What is the axis of symmetry?

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:


Related Questions

(08.01)Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference?


A) Yes, this is a valid inference because the 30 families speak for the whole neighborhood


B)Yes, this is a valid inference because she took a random sample of the neighborhood


C)No, this is not a valid inference because she did not take a random sample of the neighborhood


D) No, this is not a valid inference because she asked only 30 families

Answers

Using sampling concepts, the correct option regarding the validity of the inference is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. If I had taken 1000 residents just from Buffalo, it would not be a representative sample.

In this problem, all addresses in the neighborhood are considered, hence a random sample was taken and the correct option is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

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If the width of a rectangle can be represented by x and the length by x + 10, write an expression that can be used to represent the area of the rectangle. Simplify the expression as much as possible.

Answers

Answer:

The expression for area is (x)(x+10).

Step-by-step explanation:

Area=(w)(l)

Area=(x)(x+10)

(Note: This expression can be expanded, but then it wouldn't be fully simplified)

Hope this helps!

1 1/5 · x/3 = 9/10
solve for x

Answers

The value of x in the equation 1 1/5 - x/3 = 9/10 is 9/10

Fraction

1 1/5 - x/3 = 9/10

- x/3 = 9/10 - 1 1/5

- x/3 = 9/10 - 6/5

-x/3 = 9-12 / 10

-x/3 = -3/10

divide both sides by - 1/3

x = -3/10 ÷ - 1/3

= -3/10 × -3/1

x = 9/10

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Hi having a bit of trouble.

Answers

Answer:

  P = 160/A

Step-by-step explanation:

For P to vary inversely with A, we must have P be proportional to the reciprocal of A. The constant of proportionality is given.

Inversely proportional

Two quantities are directly proportional if there is a constant of proportionality (k) that multiplies one of them to give the value of the other:

  y = kx

They are inversely proportional if the inverse of one of them can be multiplied by a constant of proportionality to give the value of the other:

  y = k(1/x) = k/x

In this problem, the variables P and A are said to be inversely proportional. That means the equation that relates them will be of the form ...

  P = k/A

You are given such a form with k=160, which is an appropriate value for the relation given by the problem. All you need to do is fill in the variable:

  P = 160/A

Find the maximum or minimum value of the product of two numbers whose difference is 14.

Answers

The maximum value of the product of two number whose difference is 14 is 49.

What is the maximum or minimum value of a function?

The maximum or minimum value of a function is the highest or lowest value of that function.

How to determine the maximum or minimum of the product of two numbers?

Let the numbers be x and y

Their product f(x,y) = xy

Since their difference is 14, x - y = 14

So, x = 14 - y

Substituting x into f(x,y), we have

f(x,y) = xy

= (14 - y)y

= 14y - y²

To find the maximum or minimum value of f(x,y) we differentiate it with respect to y and equate to zero.

So, f(x,y) = f(y) = 14y - y²

df(y)/dy = d(14y - y²)/dy

df(y)/dy = d(14y)/dy - dy²/dy

df(y)/dy = 14 - 2y

Equating to zero, we have

df(y)/dy = 0

14 - 2y = 0

14 = 2y

y = 14/2

y = 7

To determine if this gives a maximum or minimum for f(y) = f(x,y), we differentiate f'(y) again

So, df'(y)/dy = d(14 - 2y)/dy

= d14/dy + d(-2y)/dy

= 0 - 2

= -2 < 0.

Since f"(y) = -2 < 0, then y = 7 gives a maximum for f(x,y)

So, since y = 7,

x = 14 - y = 14 - 7 = 7

So, f(x,y) is maximum at x = 7 and y = 7

So, f(7,7) = 7 × 7

= 49

So, the maximum value of the product of two number whose difference is 14 is 49.

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Someone do this please

Answers

Answer: 102 degrees

Step-by-step explanation:

The remote angle theorem is that two remote angles are equivalent to the exterior angle. Both 51 degrees are remote angles, and angle 4 is the exterior.

51 + 51 = Angle 4

Angle 4 = 102 degrees

A linear expression does not have a squared variable.

Answers

it is true that a linear expression does not have a squared variable.

How to determine the true statement?

The following are the forms of a linear expression

y = mx + c

Ax + By = C

x = a

Notice that none of the above expressions have a squared variable

This means that, a linear expression does not have a squared variable.

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When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits, we say the process is

Answers

The process is Capable.

According to statement

When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits

and when these conditions are fulfilled then the process is to be called CAPABLE.

So, The process is Capable.

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5x=3125 how do i solve that

Answers

Answer:

just divide 3125 by 5 and your answer is 625

Step-by-step explanation:

Using division, 3125 by 5 and get answer 625.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

If 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  a / b = a divided in b equal parts.

We have been given 5x = 3125

Divide by 5 each sides;

x = 3125/5

x = 645

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What number is represented by point B? A number line going from 1 to 2 with 5 equal spaces between 1 and 2. Point B is one mark to the left of 2. StartFraction 4 Over 5 EndFraction 1 and StartFraction 4 Over 5 EndFraction 1 and StartFraction 5 Over 4 EndFraction 2 and StartFraction 1 Over 5 EndFraction

Answers

Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2the number represented by point B is 1⁴/₅

The question has to deal with proportion

What is proportion?

Proportion is the measure of a variable or quantity relative to another.

How to calculate which number represents point B?

Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2, the measure of a sub-unit between 1 and 2 is

= 1/5

So, each sub-unit measure 1/5

Since point B is one mark to the left of 2, we have that point B is y = 2 - 1/5 = (10 - 1)/5

= 9/5

= 1⁴/₅

So, the number represented by point B is 1⁴/₅

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what is the volume of the sphere shown below with a radius of 9

Answers

Answer:

972π  or 3052.08 if π=3.14(remember to label the answer with your units)

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\\[/tex]π[tex]r^{3}[/tex]. So, just plug the radius into the formula. [tex]r^{3}[/tex] in this case is [tex]9^{3}[/tex] which is 729. For, [tex]\frac{4}{3}[/tex]×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.

Solve the equation: √2 + 4 - 1 = 2
A) ±x= √5
B) ±x = √13
OC) x= 3
D) x = 5

Answers

Answer:

Step-by-step explanation:

1) Separate terms with roots from terms without roots.

[tex]x^2+4=\sqrt[\frac{1}{2} ]{4+1}[/tex]

2) Simplify 4 + 1 to 5.

[tex]x^2+4=\sqrt[\frac{1}{2} ]{5}[/tex]

3) Invert and multiply.

[tex]x^2+4=5^2[/tex]

4)  Simplify  [tex]5^2[/tex] to 25.

[tex]x^2+4=25[/tex]

5) Subtract 4 from both sides.

[tex]x^2=25-4[/tex]

6) Simplify 25 - 1 to 24.

[tex]x^2=21[/tex]

7)  Take the square root of both sides.

[tex]x=\pm\sqrt{21}[/tex]

Answer:

A

Step-by-step explanation:

[tex]\sqrt{x^{2}+4}-1=2\\\sqrt{x^{2}+4}=3\\x^{2}+4=9\\x^{2}=5\\x=(plus/minus) \sqrt{5}[/tex]

Please help! I'm giving 25 points!!

The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar icecaps melts into the oceans, increasing the volume of the oceans. If 1 cm^3 of ice melts, it turns into approximately 0.92 cm^3 water.

1) There are approximately 3,800 cm^3 in a gallon. If 1.9 m^3 of ice melts, how many gallons of water does this produce? (Round your answer to the nearest gallon.)

2) Scientists estimated that the addition of 1,000 km^3 of water would increase sea levels by 364 cm. Greenland's ice sheet is especially vulnerable to melting. Recent reports indicate a melting average of 195 km^3 of ice per year from Greenland, resulting in additional yearly 179.4 km^3 of water. If melting continues at this rate, how many centimeters would the sea increase after 6 years? (Round your answer to the nearest centimeter.)

Answers

1. The number of gallons of water produced is 460 gallons

2. The amount in cm the sea would increase after 6 years is 392 cm

1. How to determine the number of gallons produced

We'll begin by by converting 1.9 m³ to cm³. This is illustrated below:

1 m³ = 1×10⁶ cm³

Therefore,

1.9 m³ = 1.9×10⁶ cm³

Next, we shall determine the volume of water produced from 1.9 m³ (i.e 1.9×10⁶ cm³) of ice. This is illustrated below:

From the question given,

1 cm³ of ice = 0.92 cm³ of water

Therefore,

1.9×10⁶ cm³ of ice = 1.9×10⁶ × 0.92

1.9×10⁶ cm³ of ice = 1.748×10⁶ cm³ of water

Finally, we shall determine the number of gallons produced. This is illustrated below:

From the question given,

3800 cm³ of water = 1 gallon

Therefore,

1.748×10⁶ cm³ of water = 1.748×10⁶ / 3800

1.748×10⁶ cm³ of water = 460 gallon

Thus, 460 gallons were produced

2. How to determine the amount in cm the sea would increase to after 6 years

From the question given above,

1000 Km³ = 364 cm

Therefore,

179.4 Km³ = (179.4 × 364) / 1000

179.4 Km³ = 65.3016 cm per year

To obtain the increase after 6 years, multiply 65.3016 by 6 as shown below:

65.3016 × 6 = 392 cm

Thus, the sea will increase 392 cm after 6 years

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The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)

The measure of their corresponding angles is equal.
The ratio of their corresponding angles is 1:2.
The ratio of their corresponding sides is 1:2
The size of the quadrilaterals is different but shape is same.

Answers

The measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). This can be obtained by plotting the quadrilaterals on a graph paper and comparing the figures.

Which conclusion is true about the quadrilaterals?

Given that,

vertices of quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4)

vertices of quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4)

(x,y) ; (x, y-8)

ABCD is reflected across the line y=4 to get the quadrilateral EFCD.

Reflection means the size and shape of the quadrilaterals is same ⇒quadrilateral ABCD and quadrilateral EFCD are congruent.

Thus corresponding parts of congruent triangles are equal, corresponding angles will be equal.

Hence the measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).

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Identify the domain of the function shown in the graph

Answers

Answer:

C.  All real numbers.

Step-by-step explanation:

The domain is the set of all x values that are used by points on the graph.  This is a sine wave, and we assume it extends infinitely far to the left and right.  Even without that assumption, you can eliminate the other answers.

A. This describes the numbers on the x-axis between 0 and 5, inclusive.  But the graph includes many more points with x-coordinates beyond that interval.

B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.

D.  This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.

Denise wants to enlarge her prom photo. She wants to increase the
size 4 times the original photo. If the original photo is 6 inches by 8 inches,
how many times larger is the new photo?

4

40

16

8

Answers

After enlargement, the new photo would be 16 times larger. The answer is C: 16.

What is an Enlargement?

An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.

Given the following:

Dimension of original photo = 6 inches by 8 inches

Scale factor = 4

To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:

6 × 4 = 24 inches

8 × 4 = 32 inches

New dimensions = 24 by 32

Area of original photo = 6 × 8 = 48 in.²

Area of new photo = 24 × 32 = 768 in.²

768/48 = 16

This means that the new photo is 16 times larger than the original photo.

The answer is: C. 16.

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5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies

Answers

The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.

The number of flowers in the vase = 12 flowers

The number of roses in the vase = 5 roses.

Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,

or, the number of daisies in the vase = 12 - 5 = 7.

Thus, the number of daisies in the vase = 7.

We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.

Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,

or, the ratio = 12/ = 12:7.

Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.

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PQ has endpoints P(0, 0) and Q(8, 4). Find the coordinates of the midpoint of PQ
O
O
O
(4,4)
(2,4)
(4,2)

Answers

(4,2) is your answer.

can someone please help mee

Answers

Answer:

[tex]\frac{\sqrt{731}}{30}[/tex]

Step-by-step explanation:

We first observe that the angle is located in quadrant III

This allows us to draw a triangle as attached in the attachments.

Using this triangle, we can find sin([tex]\theta_1[/tex]).

Remembering that sin(theta) = [tex]\frac{opp}{hypo}[/tex], we can see from the attached image that it is [tex]\frac{\sqrt{30^2 - 13^2}}{30}[/tex], then simplifying [tex]\sqrt{30^2 - 13^2}[/tex] using a calculator, we get [tex]\sqrt{731}[/tex].

So our final answer is the answer shown above.

You may be wondering how did the side lengths appear on the triangle.

From cos(theta_1), we remember that cos(theta) = adj/hypo, so, we can draw our triangle using that the adjacent of the theta = -13 (another reason why is because the angle is in quadrant three), and hypo is 30.

If x = false and y = false, is the statement: not x or not y
a) true
b) false

Answers

Answer:

false

Step-by-step explanation:

X is equal to Y

therefore,

X = Y

X= false

Y = false

so,

false = false

mean of four consecutive even numbers is 15. Enter each number separated by a comma

Answers

Let the first number be x.
Therefore second number is (x+2).
Therefore third number is (x+4).
Therefore forth number is (x+6).

Hence,
(x+x+2+x+4+x+6+x+8)/4 = 15
(4x+12)/4 = 15
x+3 = 15
x = 12

So,
The number is 12, 14, 16, 18.

Hope it helps : )

Answer:

12, 14, 16, 18

Step-by-step explanation:

(x + (x+2) + (x+4) + (x+6))/4 = 15

^ solve algebraically

you'll get (4x+12)/4 = 15

then: 4x + 12 = 60

then 4x = 60-12

then 4x = 48

then x = 12

x is 12 so then do substitution

so you get

12 + (12+2) + (12+4) + (12+6)

12, 14, 16, 18

Which answer represents the following conditional statement in shorthand?
if megan is swimming, then it is warm outside.

Answers

The expression which represents the given conditional statement in shorthand is: S → W.

What is a conditional statement?

A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."

Where:

P and Q represent sentences.

If Megan is swimming = S

It is warm outside = W

Therefore, if Megan is swimming, then it is warm outside is represented by S → W.

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What addition/subtraction equation should I put?

Answers

Answer:

7 - 10

Step-by-step explanation:

Because it is -3 and 7 - 10 = -3

What is the size of exterior angle of regular polygon which has interior angle of 120 degree?

Answers

Answer: 60 degrees

Step-by-step explanation:

An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).

In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they can be used to create an algebraic expression.

Answers

VARIABLE is a symbol which is used for representation in a  math.

According to the statement

we have to explain about the what is a variable.

So, VARIABLE is a symbol which is used for representation in a  math.

It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.

A variable may also be called a data item.

It is used to represent a data like country name, name, age, date of birth etc.

we know that the every thing is changeable. So, like ther things variables are also changeable.

The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.

So, VARIABLE is a symbol which is used for representation in a  math.

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if you were to solve the following system by substitution, what would be the best variable to solve for and what from what equation 3x 6y

Answers

so here you the answer is 9

(17,-13),(17,8) finding slope from two points

Answers

Hi!

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

There are really two ways to solve this problem. One of them is the slope formula. You can familiarise yourself with this formula

[tex]\sf{\dfrac{y2-y1}{x2-x1}}[/tex]

SUBSTITUTE the values

[tex]\sf{\dfrac{-13-8}{17-17}}[/tex]

[tex]\sf{\dfrac{-21}{\bf{0}}[/tex] (notice the zero was in bold-face)

Dividing by zero is an operation we cannot do.

So the slope of this particular line is not defined.

The other way is looking at the first co-ordinates of the points given

Notice that they are exactly the same. Whenever that happens, the slope of that line is not defined.

Hope that made sense !!

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

[tex]\star\tiny\pmb{\tt{calligraphy}}\star[/tex]

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws and 2 pairs of appendages per body segment

Answers

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment: FALSE

What are Centipedes?Their bodies have an elongated, cylindrical form that can appear flat at times. Adults can range in size from half an inch to 6.5 inches. Despite its "thousand-legger" moniker, most have less than 100 legs. Despite having so many legs, these arthropods move slowly.Most centipedes can only bite with their poison claws just under the head, causing a bee-like sting; however, Scolopendra can harm a person with the sharp claws of its many walking legs.Centipedes have only one pair of legs on each body segment, which can be seen protruding from their flattened bodies. The number of body segments varies by species, and the number of pairs of legs ranges from 15 to 177, plus or minus one.

As it is given in the description, centipedes have only one pair of legs on each body segment. So, the whole statement becomes False.

Therefore, the statement "centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment" is FALSE.

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Complete question:

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment. TRUE or FALSE

a 90% confidence interval for a proportion is found to be (0.22,0.28). What is the sample proportion

Answers

The value of sample proportion is found to be 0.253.

What is the sample proportion?

The sample proportion [tex]\hat{p}[/tex] indicates the percentage of people in a sample who exhibit a particular quality or attribute.

Divide the number of individuals (or items) who possess the desired attribute by the overall sample size to obtain the sample proportion.

Now, according to the question;

The 90% confidence interval for a proportion is found to be (0.22,0.28).

The confidence interval for the sample is given as-

Confidence interval = Sample proportion ± Margin of Error

Let [tex]\hat{p}[/tex] be the sample proportion.

The level of significance = 1 - 0.90

                                         = 0.10 (10%)

From z-value table, at a significance level of 5% (two-sided), z has a critical value of 1.645.

90% confidence interval = [tex]\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Thus,                       0.22 = [tex]\hat{p} - 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], and

                               0.28 = [tex]\hat{p} + 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Covert both equation in the form of [tex]\hat{p}[/tex] and equating to each other.

[tex]\begin{aligned}&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22\\&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06\\&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645}\\&\sqrt{\frac{\hat{\nu}(1-\hat{p})}{n}}=0.02\end{aligned}[/tex]

Take square root,

[tex]\begin{gathered}\frac{\hat{p}(1-\bar{p})}{n}=0.0004 \\n=\frac{\hat{p}(1-\bar{p})}{0.0004}\end{gathered}[/tex]

Substituting the value of 'n' in the receptive equation to get the value of [tex]\begin{aligned}0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{p(1-\hat{p})}} \times 0.0004 \\0.22 &=\hat{p}-1.645 \times \sqrt{0.0004} \\0.22 &=\hat{p}-(1.645 \times 0.02) \\0.22 &=\hat{p}-0.033 \\\hat{p}=& 0.22+0.033=0.253\\\end{aligned}[/tex]

Therefore, the value of sample proportion is 0.253.

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PLEASE ANSWER WILL GIVE YOU ALOT OF POINTS

Answers

The theorems that prove that lines are parallel includes:

Alternate interior angle theorem.Converse of corresponding angles postulate.

How to prove lines are parallel?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

Theorems that prove that lines are parallel includes:

Alternate interior angle theorem.Converse of corresponding angles postulate.

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(a) Develop a first-order method for approximating f" (1) which uses the data f (x - 2h), f (x) and f (x + 3h). (b) Use the three-point centred difference formula for the second derivative to ap- proximate f" (1), where f (x) = 1-5, for h = 0.1, 0.01 and 0.001. Furthermore determine the approximation error. Use an accuracy of 6 decimal digits for the final answers of the derivative values only. the solution at the equivalence point therefore is a weak base solution of 2.3310-2 mol c6h5coo- dissolved in 0.120 l. the ph of this solution is found using the standard weak base procedure. What convinces Becky to consider forgiveness in the common little pardon of Becky day when performing an elisa you add 1ul of antibody at concentration of 1mg/ml to your protein sample in the well. how many micrograms (ug) of antibody are you adding to your protein sample? using the following scatterplot and summary statistics, what is the equation of the linear regression line? x = 4.2 y = 77.3 s = 1.87 s = 11.16 What are the possible values of ml for each of the following values of l?A) 0 Express your answers as an integer. Enter your answers in ascending order separated by commas.B) 1 Express your answers as an integer. Enter your answers in ascending order separated by commas.C) 2 Express your answers as an integer. Enter your answers in ascending order separated by commas.D) 3 Express your answers as an integer. Enter your answers in ascending order separated by commas. A single stage spiral wound membrane is used to remove CO2 from a natural gas stream. Feed is supplied at 20 MSCFD, 850 psig and contains 93% CH4 and 7% CO2. The retentate leaves at 835 psig with 2% CO2 and the permeate leaves at 10 psig with 36. 6% CO2. The permeance of CO2 through the membrane is reported to be 5. 5 x 10^-2 ft3(STP)/(ft2hrpsi). Assuming Patm = 15 psia, find the:(a) percent recovery of methane in the retentate stream [90. 1%](b) area of the membrane, ft2, assuming both a linear and log-mean driving force. How do these two approximations compare to the actual area of 33,295 ft2?(c) permeance of CH4 ft3(STP)/(ft2hrpsi) and the selectivity of the membrane, a12. [a12 = 19. 3]Note: MSCFD = 10^6 ft3(STP)/day 8. list the name of the division that has more projects than division of ""human resource suppose that you are dealt 5 cards from a well shuffled deck of cards. what is the probability that you receive a hand with exactly three suits During the isothermal heat rejection process of a Carnot cycle, the working fluid experiences an entropy change of -0.7 Btu/R. If the temperature of the heat sink is 95 degree F, determine (a) the amount of heat transfer, (b) the entropy change of the sink, and (c) the total entropy change for this process. help please ambree!! Task Instructions Import the data from the NewVendors.xlsx workbook into a new table named Vendors in the Construction Workshops.accdb database. Specify that the first row of the spreadsheet contains column headings, and use the other default options of the Import Spreadsheet Wizard. Do not save the import steps. 8:19 PM 3/25/2020 Bob has a desktop computer behind a gateway that implements a simple version of network address translation. Bob wishes to connect to a server on the Internet.- Home gateway address on the Internet: 82.34.31.123- Home desktop address behind the gateway: 192.168.1.25- Host address of server on the Internet: 56.28.191.44Give these addresses, what is the "source IP address" on the packet that leaves the gateway on its way to the server? Finding the angle when given the right angle and two sides. Please show explanation. Thank you. The goal in protecting a habitat is commonly the preservation of a large enough area to support a _____ population.a. maximum sustaining b. minimum sustainingc. maximum viabled. minimum viable with regard to negligent hiring, courts would require the least amount of scrutiny regarding a....... ashley has a master's degree. based on this information alone, ashley cannot be a: Express the proposition, the converse of pq, in an English sentence, and determine whether it is true or false, where p and q are the following propositions. p p: "57 is prime" q: "57 is odd" TRUE OR FALSE a risky security cannot have an expected return that is less than the risk-free rate; no risk-averse investor would be willing to hold this asset in equilibrium. Smith-Kline Company maintains inventory records at selling prices...Smith-Kline Company maintains inventory records at selling prices as well as at cost. For 2021, the records indicate the following data:($ in 000s) CostRetailBeginning inventory$80 $125 Purchases 671 1,006 Freight-in on purchases 30 Purchase returns 1 2 Net markups 4 Net markdowns 8 Net sales 916 Required:Assuming the price level increased from 1.00 at January 1 to 1.10 at December 31, 2021, use the dollar-value LIFO retail method to approximate cost of ending inventory and cost of goods sold. (Do not round intermediate calculations. Round final answers to the nearest whole dollar. Enter your answers in thousands.)