What is the slope of the line through (-7,-8)(−7,−8)
A. 12/7
B.7/12
C.-12/7
D.-7/12

Answer: The answer is (-∞, ∞)

Step-by-step explanation:I hope this helps!

The average charge on arginine at pH 9.20 is +1.

Arginine is an amino acid that contains multiple ionizable groups, including the amino group (-NH2), the carboxyl group (-COOH), and the guanidino group (-NH-C(NH2)2). The average charge on arginine depends on the pKa values of these groups and the pH of the solution.

At pH 9.20, which is alkaline or basic, the carboxyl group (-COOH) and the guanidino group (-NH-C(NH2)2) will be deprotonated and carry a negative charge, while the amino group (-NH2) will be protonated and carry a positive charge.

The pKa values of the ionizable groups in arginine are approximately as follows:

Carboxyl group: pKa ~ 2.17

Amino group: pKa ~ 9.00

Guanidino group: pKa ~ 12.48

To determine the average charge on arginine at pH 9.20, we need to consider the ionization states of these groups. Since the pH is greater than the pKa of the carboxyl group and the guanidino group, these groups will be deprotonated and carry a negative charge. The amino group will be protonated and carry a positive charge.

Therefore, at pH 9.20, the average charge on arginine is +1. This means that, on average, arginine will have a net positive charge of +1 under these conditions.

At pH 9.20, the average charge on arginine is +1. This indicates that, on average, arginine will carry a net positive charge of +1 in a solution with this pH.

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Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

Answer:

I think it's 4 and why do I have to write 20 letters?

Answer:

14

Hope this helps

Answer:

14

Step-by-step explanation:

2 x 7 = 7 + 7

7+7=14

To estimate the chance of getting 12 heads and 13 tails when a coin is tossed 25 times, we can use the binomial probability formula.

The binomial probability formula is given by:

P(x) = (nCx) * p^x * q^(n-x)

Where:

P(x) is the probability of getting x successes,

n is the total number of trials,

x is the number of desired successes,

p is the probability of success on a single trial,

q is the probability of failure on a single trial, which is equal to 1 - p,

and (nCx) is the number of combinations of n items taken x at a time.

In this case, n = 25, x = 12 (number of heads), p = 0.5 (since the coin is fair), and q = 1 - p = 0.5.

Using the binomial probability formula, we can calculate the probability of getting 12 heads and 13 tails as:

P(12 heads) = (25C12) * (0.5^12) * (0.5^13)

Calculating this expression will give us the estimated chance of getting 12 heads and 13 tails when a coin is tossed 25 times.

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The function f^(-1)(P) allows us to find the time at which the population reaches a certain value, given the growth model provided by f(t).This means that the population will be 20 million in approximately 34.657 years.

We set P equal to f(t):
P = 10e^(0.02t)
ln(P/10) = 0.02t
t = (1/0.02) ln(P/10)
t = 50 ln(P/10)
f^(-1)(P) = 50 ln(P/10).

This function gives us the time (in years) at which the population is equal to P million. So, for example, if we want to know when the population is 20 million, we can plug P = 20 into the formula:
f^(-1)(20) = 50 ln(20/10) = 34.657

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While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it .

Due to its three sides and three vertices, a triangle is a polygon. One of the fundamental geometric forms, it. Triangle ABC is the designation given to a triangle with vertices A, B, and C. In Euclidean geometry, when the three points are not collinear, a distinct plane and triangle are found. As a polygon, a triangle has three sides and three corners. The places where the three sides converge are referred to as the triangle's corners. Combining three triangle angles yields a result of 180 degrees.

given

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°.

By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle. In a triangle with three angles of 30°, 60°, and 90°, the hypotenuse is twice as long as the shorter leg and three times as long as the latter.

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The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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Given: 2n = m + h, h = n + m, n = 2m is proven below.

Given: a - b = c -d, b = d - 1, c = 6; a = 5 is proven below.

Given: 2n = m + h, h = n + m; Prove: n = 2m

Statements:

2n = m + h (Given)

h = n + m (Given)

2n = m + n + m (Substituting the value of h from statement 2)

2n = 2m + n (Combining like terms in statement 3)

2n - n = 2m (Subtracting n from both sides of statement 4)

n = 2m (Simplifying statement 5)

Reasons:

Statement 1 is given

Statement 2 is given

Statement 3 is obtained by substituting the value of h from statement 2 in statement 1

Statement 4 is obtained by combining like terms in statement 3

Statement 5 is obtained by subtracting n from both sides of statement 4

Statement 6 is obtained by simplifying statement 5

Therefore, n = 2m is proven.

Given: a - b = c -d, b = d - 1, c = 6; Prove: a = 5

Statements:

a - b = c - d (Given)

b = d - 1 (Given)

c = 6 (Given)

a - b = c - d (Repeating statement 1)

a - (d - 1) = 6 - d (Substituting b with d - 1 in statement 4)

a - d + 1 = 6 - d (Expanding the bracket in statement 5)

a + 1 = 7 (Adding d to both sides of statement 6 and simplifying)

a = 6 (Subtracting 1 from both sides of statement 7)

Reasons:

Statement 1 is given

Statement 2 is given

Statement 3 is given

Statement 4 is repeating statement 1

Statement 5 is obtained by substituting b with d - 1 in statement 4

Statement 6 is obtained by expanding the bracket in statement 5

Statement 7 is obtained by adding d to both sides of statement 6 and simplifying

Statement 8 is obtained by subtracting 1 from both sides of statement 7

Therefore, a = 5 is proven.

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Given a cyclic quadrilateral

As shown:

The measure of the arc FG = 97

The measure of the arc GH = 117

The measure of the arc EHG = 164

The measure of the arc is two times the measure of the inscribed angle opposite to the arc.

So, the measure of the angle E = 1/2 the measure of the arc FGH =

The measure of the angle F = 1/2 the measure of the arc EHG =

For the cyclic quadrilateral, every two opposite angles are supplementary.

So,

And:

So, the answer will be:

Answer: Slope = 5/4

y-intercept = 2

Step-by-step explanation:

We have the table:

Months, m            Plant height in inches, n

0                           2

2                           4.5

4                            7

6                            9.5

We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

Then our equation is:

y = (5/4)*x + 2.

Slope = 5/4

y-intercept = 2

Answer:

d

Step-by-step explanation:

I took the k12 test

Answer:

is b

Step-by-step explanation:

Cause I looked at it and counted how many shaded squares there were

It costs $3.83 per package of gatorade.

11.49 = 3 packages. Divide 11.49 by 3 which results in $3.83.

I hope this helps you! If it did, don't forget to give a 5-star rating, press the thanks button, and mark as brainliest. Feel free to ask if you need anymore help. Have a great rest of your day and stay safe! xx

Answer:

The answer to the question provided is the answer is $3.80 (3.87 not rounded).

Step-by-step explanation:

All you really need to do is divide $11.49 by the 3 (packages)

Answer:

(d+j) ÷8

Step-by-step explanation:

The table is completed as follows:

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The velocity for this problem is of 54 miles per hour, hence the distance equation is given as follows:

d = 54t.

For each time, the distances are given as follows:

The time is given as follows:

t = d/54.

For each distance, the times are given as follows:

The table is given by the image presented at the end of the answer.

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We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

Answer:

The surface area of the triangular prism is 223.789 cm^2.

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

cross section area multiply by length.

i.e

(1/2*4*6) *12

Answer:sometimes

Step-by-step explanation:

Answer:

Yes i do because pull ups were so fun

The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.

To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.

First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).

Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).

To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.

After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.

To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.

Plugging in the values we calculated, we get:

(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.

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Answer:

Step-by-step explanation:

a°=180°-36°=144° b°=180°-113°=67°

a°=144° and b°=67°

144+67=211

36+113=149

149+211=360

Answer:

  both are "all real numbers"

Step-by-step explanation:

The graph appears to be of a cubic polynomial (degree 3). Any polynomial has a domain of "all real numbers."

Any odd-degree polynomial has a range of "all real numbers."

Both the domain and range are "all real numbers", (-∞, ∞).

The diameter of the gold cylinder ≈ 0.00654 meters.

To determine the diameter of a gold cylinder with the provided length and mass, we can use the formula for the volume of a cylinder and the known mass and length.

Here are the steps to calculate the diameter:

1. Convert the mass from grams to kilograms:

  mass = 17.6 g = 0.0176 kg

2. Convert the length from centimeters to meters:

  length = 5.25 cm = 0.0525 m

3. Determine the density of gold.

The density of gold is typically known to be approximately 19,300 kg/m³.

4. Use the formula for the volume of a cylinder:

  Volume = π * (radius)² * length

Since we want to obtain the diameter, we need to calculate the radius first.

5. Rearrange the volume formula to solve for the radius:

  radius = sqrt(mass / (density * length * π))

6. Substitute the known values into the formula and calculate the radius:

  radius = sqrt(0.0176 kg / (19,300 kg/m³ * 0.0525 m * π))

7. Calculate the diameter by multiplying the radius by 2:

  diameter = 2 * radius

Let's perform the calculations:

radius = sqrt(0.0176 kg / (19,300 kg/m³ * 0.0525 m * π))

radius ≈ 0.00327 m

Now:

diameter = 2 * radius

diameter ≈ 2 * 0.00327 m

diameter ≈ 0.00654 m

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Answer:

use microsoft maths solver

Answer:

D. 4x⁴ + 23x³ - 6x² + 7x + 42

Step-by-step explanation:

Step 1: Write expression

(x + 6)(4x³ - x² + 7)

Step 2: Expand

4x⁴ - x³ + 7x + 24x³ - 6x² + 42

Step 3: Combine like terms

4x⁴ + 23x³ - 6x² + 7x + 42

In general, the "end behavior" is a description of what graph will do when you work with really large positive and negative numbers, so as x -> infinity and as x -> –infinity.

The way to figure this out is to find the highest degree term. In your exercise, that's the –2x^4. When you deal with really large numbers, only this term will matter, because it will overpower the impact of any lower degree term. So you can think of this function really looking like y = –2x^4 once you are away from the y-axis.

In general, as x gets huge in a positive way, as x -> infinity, the y-values of this will get big in a negative way, f(x) -> –infinity.

In general, as x gets huge in a negative way, as x -> –infinity, the y-values of this will also get big in a negative way, f(x) -> –infinity.

See the attached graph of y=-2x^2 (red) and the graph of your function. These are zoomed out, so you're looking at what's happening on the edges.

Notice the graphs basically look the same when viewed from this perspective.

Answer:

135.

Step-by-step explanation:

Because 45 times 3 equals 135.

150 students scored between 42 and 56 on the district geometry test.

Box whisker plots are used to abstract a collection of data that has been approximated using an interval scale. Just a box plot is another name for it. They are mostly employed while interpreting data. It is one of the graphical approaches that shows how the dataset's data varies from one another. The histogram may be used to display the data as well. Yet a histogram offers a useful presentation. Box and whisker plots are preferable to histograms because they may exhibit numerous sets of data on a single graph, which adds more information.

From the box whisker plot we see that the lower quartile is 42 and the median is 56.

The median represents the 50th percentile whereas lower quartile is 75%.

The difference is:

75 - 50 = 25%.

Now, for 600 scores we have:

25% of 600

= 25/100 (600) = 150

Hence, 150 students scored between 42 and 56 on the district geometry test.

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To find the value of k for g(x) = f(x) + k, we compared the graphs of f(x) and g(x). We estimated the distance between the graphs at a common point, x=2, and found k to be approximately 3.25. So, the correct option is A).

We can determine the value of k by comparing the graphs of f(x) and g(x).

The graph of f(x) is a vertical asymptote at x=2, and it approaches zero as x moves away from 2 in either direction.

The graph of g(x) is also a vertical asymptote, but it occurs at x=-3. Moreover, the graph of g(x) is identical to the graph of f(x) shifted upwards by k units.

To find the value of k, we need to find the difference in y-values between the two graphs at any point. Let's take the point x=2, which is on the graph of f(x).

f(2) = 1 / (3(2) - 2) = 1/4

g(2) = f(2) + k = 1/4 + k

Since the graphs of f(x) and g(x) have the same shape and differ only by a vertical shift, we can see that the distance between the graphs at x=2 is equal to k.

Looking at the graph, we can estimate that the distance between the graphs at x=2 is approximately 3 units. Therefore, we have

k = g(2) - f(2) = (1/4 + 3) - 1/4 = 3 1/4

So the value of k is approximately 3.25. So, the correct answer is A).

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