Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36

Select The Correct Answer.If No Denominator Equals Zero, Which Expression Is Equivalent To 15/x-6 + 7/x+6?A.OB.OC.OD.22

Answers

Answer 1

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Related Questions

on a recent trip , a salesman traveled 52 miles the first hour , 64miles the second hour , and 49 miles the third hour . how many miles did he average per hour ?

Answers

The salesman traveled at an average speed of 55 miles per hour on his trip.

To find the average miles per hour, we need to find the total distance traveled and divide it by the total time taken.

Total distance traveled = 52 miles + 64 miles + 49 miles = 165 miles

Total time taken = 1 hour + 1 hour + 1 hour = 3 hours

Average speed = Total distance traveled / Total time taken

= 165 miles / 3 hours

= 55 miles per hour

Therefore, the salesman averaged 55 miles per hour on his trip.

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some one pls help with these two questions it’s transformations n stuff i can’t focus rn to do it so sb help pls

Answers

The coordinates of the new figure would be: I' = (1, 3), J' = (5, 3), and H' = (0, -2).

How to find the coordinates of the new figure?

To find the coordinates of the new figure we must identify the coordinates of the original figure and add 3 units to the first number and 1 unit to the second number. Below is the procedure:

I' = (-2, 4)J' = (2, 5)H' = (-3, -1)

I =

-2 + 3 = 14 - 1 = 3

J =

2 + 3 = 54 - 1 = 3

K =

-3 + 3 = 0-1 - 1 = -2

So, the correct coordinates would be: I' = (1, 3), J' = (5, 3), and H' = (0, -2).

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write an equation that represents the situation.

Answers

f=(62-12)/4

This is because in order to find the price of the food itself you have to subtract the total drink price, 4 people x $3 drinks each equals $12. $62-$12 will equal the total amount of money in food. Divide that by 4 (people) and you will find your answer

The numbers of online applications from simple random samples of college applications for 2004 and for
the 2009 were taken. In 2004, out of 373 applications, 123 of them were completed online. In 2009, out of
776 applications, 70 of them were completed online. Test the claim that the proportion of online
applications in 2004 was more than the proportion of online applications in 2009 at the .005 significance
level.
Claim: Select an answer which corresponds to Select an answer
which corresponds to Select an answer
Opposite: Select an answer
The test is: Select an answer
The test statistic is: z =
The critical value is: % -
(to 2 decimals)
(to 2 decimals)
Based on this we: Fail to reject the null hypothesis
Conclusion There does.
appear to be enough evidence to support the claim that the
proportion of online applications in 2004 was more than the proportion of online applications in 2009.

Answers

A hypothesis test was conducted to determine if the proportion of online applications in 2004 was more than in 2009, using a significance level of .005. The test results show that there is not enough evidence to support the claim.

The null hypothesis is that the proportion of online applications in 2004 is equal to or less than the proportion in 2009. The alternative hypothesis is that the proportion of online applications in 2004 is greater than the proportion in 2009. Symbolically, we can write

H o: p2004 ≤ p2009

H a: p2004 > p2009

The significance level is given as 0.005. Since this is a one-tailed test (we are testing for a greater proportion in 2004), we will use a one-tailed critical value. Using a normal distribution table or calculator, we can find the critical value to be 2.576.

The test statistic for this hypothesis test is a z-score, which we can calculate using the formula

z = (P₁ - P₂) / √(P(1-P)(1/n₁ + 1/n₂))

where P₁ and P₂ are the sample proportions, n₁ and n₂ are the sample sizes, and P is the pooled proportion. In this case, we have

P₁ = 123/373 = 0.33

P₂ = 70/776 = 0.09

n₁ = 373, n₂ = 776

P = (123 + 70) / (373 + 776) = 0.157

Plugging these values into the formula, we get

z = (0.33 - 0.09) / √(0.157(1-0.157)(1/373 + 1/776))

z ≈ 8.48

Since the test statistic (8.48) is greater than the critical value (2.576), we can reject the null hypothesis. This means there is enough evidence to support the alternative hypothesis that the proportion of online applications in 2004 is greater than the proportion in 2009.

Based on the results of the hypothesis test, we can conclude that there is enough evidence to support the claim that the proportion of online applications in 2004 was more than the proportion of online applications in 2009. Therefore, the opposite answer in the given question is incorrect.

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what is the mean of 50,43,36,57, and 29

Answers

The answer is 43 is the mean

Find the principal needed now to get the given amount; that is, find the present value.

To get $600 after 3 years at 5% compounded monthly.

The present value of $600 is $___
(Round to the nearest cent as needed.)

Answers

Answer:

$523.54

Step-by-step explanation:

To find the present value of $600 after 3 years at 5% compounded monthly, we can use the present value formula which is PV = FV / (1 + r/n)^(n*t), where PV is the present value, FV is the future value, r is the annual interest rate, n is the number of times compounded per year and t is the number of years  

In this case, we have FV = $600, r = 0.05 (5%), n = 12 (monthly compounding), and t = 3 years. Plugging these values into the formula gives us:

PV = $600 / (1 + 0.05/12)^(12*3) = $523.54

Therefore, the present value of $600 after 3 years at 5% compounded monthly is $523.54. I hope that helps!

A culture starts with 8900 bacteria. After 1 hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)

Answers

a) The function that models the number of bacteria is n(t) = 8900[tex]e^{(0.126t)[/tex].

b) Rounding to the nearest hundred, we get the answer of 12100 bacteria after 2 hours.

c) It would take approximately 5.5 hours for the number of bacteria to double.

To model the growth of the bacteria population, we can use an exponential growth function of the form n(t) = n₀[tex]e^{(rt)[/tex], where n₀ is the initial population, r is the growth rate, and t is the time in hours.

(a) To find the growth rate, we can use the formula r = ln(N/N₀)/t, where N is the final population, N₀ is the initial population, and t is the time interval. Plugging in the given values, we get:

r = ln(10000/8900)/1 = 0.126

(b) To find the number of bacteria after 2 hours, we can simply plug in t=2 into the exponential function:

n(2) = 8900[tex]e^{(0.126*2)[/tex] = 12099.92

Rounding to the nearest hundred, we get the answer of 12100 bacteria after 2 hours.

(c) To find the time it takes for the number of bacteria to double, we can use the fact that the population doubles when n(t) = 2n₀. Substituting these values and solving for t, we get:

2n₀ = n₀[tex]e^{(rt)[/tex]

2 = [tex]e^{(rt)[/tex]

ln(2) = rt

t = ln(2)/r = 5.5 hours (rounded to one decimal place)

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I need help with this please

Answers

The answer is C. (5,3)

Random groups of 30 teachers were asked the starting annual salary for their
first teaching job. The sampling variability was low. If the average salary of
several of the groups was close to $56,000, which of these is least likely to be
the average salary of another one of the groups?
A. $66,000
B. $58,000
C. $56,000
D. $57,000

Answers

A. $66,000 is least likely to be the average salary of another one of the groups.

If the sampling variability was low, it means that the averages of the different groups are expected to be similar to each other, and any differences are likely due to chance or random variation.

Given that the average salary of several groups was close to $56,000, it is unlikely that another group would have an average salary that is much higher or much lower than $56,000.

Therefore, the least likely average salary for another group is option A, $66,000, as this is much higher than $56,000 and would require a significant deviation from the other group averages, which is unlikely given the low sampling variability.

Option B, $58,000, and option D, $57,000, are closer to the expected average and therefore more likely to be the average salary of another group. Option C, $56,000, is obviously possible, since it is already an observed average.

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College level Trigonometry any help will do

Answers

The distance between both houses is: 3839.75 ft

How to use law of cosines?

The Law of Cosines is simply a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.

Numerically, the Law of Cosines can be communicated as:

c² = a² + b² - 2abcos(C),

where:

c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

Using law of cosines, the length AB is:

AB = 50² + 100² - 2(50 * 100) * cos 30

AB = 3839.75 ft

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pick one square that shows two identical object​

Answers

The square that has identical objects is the fourth square which had identical objects of a bar graph with 3 bars.

What are identical objects ?

Objects that are absolutely identical share the same properties and features, meaning they cannot be differentiated from one another. Combinatorics is an area of mathematics and statistics focused on counting and organizing objects and this frequently requires identical objects to be used in calculations.

Looking at the fourth square, we see that there are two items which are identical and these are the bar graphs. These two items might have different orientations but they are identical.

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59 percent of what number is 23.6

Answers

Answer:

Step-by-step explanation:

let’s take 59% of X = 23.6

So 59/100 * x = 23.6

59X/100 = 23.6

100/59* 59X/100 = 23.6 * 100/59

X = 40

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing?

Answers

The height of the water increasing at a rate of 0.05 m/min.

The Volume of a cylinder is

V = [tex]\pi r^{2} h[/tex]

where r is the radius and h is the height of the cylinder.

We are given that the radius r of cylinder is 5m and the water is filled at the rate of 4 ;

V = 25πh  ...(1)

Now, differentiating (1) with respect to time t,

dV/dt = 25πdh/dt

Substituting the value of dV/dt ;

4 = 25πdh/dt

dh/dt = 0.05 m/min

Hence, the water is increasing at the rate of 0.05 m/min.

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Write the equation of the line that passes through the point ( 3, -1) and is perpendicular to y = 3/2x + 5.

Answers

Answer:

Step-by-step explanation:

y = -2/3(x) + 1, which is the line through the point (3, -1) and perpendicular to the line y = 3/2(x) + 3.

Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units


Hurry please do tomorrow this is a 3rd grade problem

Answers

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

How do you Draw a line?

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Jamie bought a book for $18.75, a marker for
$4.35 and a notebook for $5.98. How much
change would he get back if he paid with $40?

Answers

Answer:

$10.92

Step-by-step explanation:
We can label book (a), marker (b) and notebook (c)

A+B+C= total cost

If we subtract the total cost from the $40 we get Jamie’s change

A+B+C= $29.08

40 - 29.08 = 10.92


Therefore, your answer will be $10.92

A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park. Each visitor chose one activity. The survey results are shown in the table. Preferred Activities Activity Number of Visitors Camping 28 Hiking Trails 22 Water Sports 14 Biking Trails 16 Based on this information, which prediction about the preferred activity for the next 200 visitors to the park is the most reasonable?

Answers

The most reasonable prediction for the next 200 visitors to the park using probability is :

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

Given that,

A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park.

Total number of visitors who were surveyed = 80

The number of visitors who select each of the activity is given.

For the next 200 visitors,

Number of visitors who may select camping = (28 /80) × 200 = 70

Number of visitors who may select hiking trails = (22 /80) × 200 = 55

Number of visitors who may select water sports = (14 /80) × 200 = 35

Number of visitors who may select biking trails = (16 /80) × 200 = 40

Camping = 70 = 35 × 2 = water sports × 2

The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

Hence the correct option is D.

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The complete question is given in the image and the options for the question are given below.

A. The number of visitors who prefer water sports will be 5 more than the number of visitors who prefer biking trails.

B. The number of visitors who prefer hiking trails will be 8 more than the number of visitors who prefer hiking trails.

C. The number of visitors who prefer camping will be 15 times the number of visitors who prefer hiking trails

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

Please help me with this problem

Answers

The surface area of the rectangular prism is 26/3 times larger than the surface area of the cube.

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

For the cube, the dimensions are given as follows:

x, x and x.

Hence the surface area is:

S = 2 x 3x² = 6x².

For the rectangular prism, the dimensions are given as follows:

2x, 3x and 4x.

Hence the surface area is:

S = 2 x (2x(3x) + 3x(4x) + 2x(4x)) = 52x².

Hence the ratio is given as follows:

52x²/6x² = 26/3.

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IMAGE ATTACHED PLS HELP find GA

Answers

When GH=5x+3 and CB = 2x + 4, GA is 13/3.

How to determine GA?

Since line CB is the midsegment of A GHJ:

CB = (GH + HJ) / 2

Since HJ = GH (because G is the midpoint of GHJ), substitute GH for HJ:

CB = (GH + GH) / 2

CB = GH

Since lines CB and GH are parallel, set their corresponding parts equal:

GH = CB

5x + 3 = 2x + 4

Solving for x:

5x - 2x = 4 - 3

3x = 1

x = 1/3

Now substitute x back into GH to find GA:

GH = 5x + 3

GH = 5(1/3) + 3

GH = 8 1/3

Since G is the midpoint of GH, GA = GH / 2:

GA = (5x + 3) / 2

GA = (5/3 + 3) / 2

GA = 13/3

Therefore, GA is 13/3.

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Mary's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 80 sodas in all, 10% of which were regular. How many regular sodas did the diner serve?

Answers

Answer:

8

Step-by-step explanation:

multiply 80 by 0.10 to get 8

B C D 0% Which percentage bar graph best represents the data? 0% 0% 0% Reading Reading Sports Reading Favorite Activities 10% 20% 30% 40% 10% Activity Reading Sports Video games Music Reading T 10% Sports Video games 10% 20% 30% 40% 50% 60% 70% 80% Sports Sports Number of Students 44 55 55 66 20% 30% 40% Video games 50% 60% 70% 80% 20% 30% 40% 50% 60% Video games 50% Video games Music 60% 70% 70% Music 90% 90% Music 80% 80% 90% Music 90% 100% 100% 100% 100%​

Answers

We can see here that option C is the correct option that gives us the percentage bar graph that best represents the data.

What is bar graph?

A bar graph, also called a bar chart, is a form of graph that uses rectangular bars of equal width to depict data. Each bar's height or length reflects the value or frequency of the data it conveys. Discrete or categorical data are frequently compared and analyzed using bar graphs.

We see that from the data given, the total number of students =

44 + 55 + 55 + 66 = 220

Reading = 44/220 × 100% = 20%

Sports =  55/220 × 100% = 25%

Video Games =  55/220 × 100% = 25%

Music = 66/220 × 100% = 30%

Thus, option C is the correct answer.

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What is the total capacity of all the servings that are two and two fourths cups?

A three and three fourths

B 4 cups

C four and three fourths

D 5 cups

worth 100 points PLS HELP

Answers

The correct answer is option D. 250 milliliters, is the capacity of a small cup. This is a proportion exercise.

How is this so?

It is given that, the  total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters.

To find the capacity of a small cup

Let small cup capacity  be 's' and large cup capacity be 'l'

From the given information we can write,

2l + 2s = 1500

Then l + s = 750

one large cup and two small cups is 1,000 milliliters.

l + 2s = 1000

l + s + s = 1000

(l + s) + s = 1000

750 + s = 1000

s = 1000 - 750 = 250

The correct answer is option D. 250 milliliters

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Full Question:

The total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters, what is the capacity of a small cup?

A. 375 milliliters

B. 200 milliliters

C. 500 milliliters

D. 250 milliliters

A coach draws up a play so a quarterback throws the football at the same time a receiver runs straight down the field. Suppose the quarterback throws the Tootball at a speed of 20 fw's and the receiver runs at a speed of 12 As. At what angle x° to the horizontal line must the quarterback throw the football in order for the receiver to catch it? Explain.

Answers

The quarterback should throw the ball at an angle of 53.1° in order for the receiver to catch it.

In order for the receiver to catch the ball, the horizontal component of the velocity vector making an angle of (x)°, should be equal to the velocity of the receiver's velocity. Mathematically, we can write that -

20 cos (x°) = 12

cos (x°) = 12/20

cos (x°) = 3/5

(x°) = cos⁻¹(3/5)

x = 53.1°

So, the quarterback should throw the ball at an angle of 53.1° in order for the receiver to catch it.

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The Sunnybrook Animal Rehabilitation Center is caring for a family of 5 adult gorillas. The volunteers feed each gorilla 40 pounds of fruits and vegetables each day. How many tons of fruits and vegetables do the volunteers feed the gorillas in a year?

Answers

The volunteers feed the gorillas 36.5 tons of fruits and vegetables each year.

Each gorilla is fed 40 pounds of fruits and vegetables per day, and there are 5 gorillas in the family.

Therefore, the total amount of fruits and vegetables fed to the gorillas each day is:

40 pounds/gorilla x 5 gorillas = 200 pounds

To convert pounds to tons, we need to divide by 2000, since there are 2000 pounds in a ton.

200 pounds / 2000 pounds/ton = 0.1 tons

To calculate the amount of fruits and vegetables fed to the gorillas in a year, we need to multiply the daily amount by the number of days in a year:

0.1 tons/day x 365 days/year = 36.5 tons/year

Therefore, the volunteers feed the gorillas 36.5 tons of fruits and vegetables each year.

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help answer this too

Answers

Since the diameter of this circle is 18 kilometers, the circle's area is 254.34 square kilometers.

How to calculate the area of a circle?

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 18/2 = 9 kilometers.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 9²

Area of circle = 254.34 square kilometers.

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A jogger makes a complete revolution around a track every 8 minutes. how long will it take the jogger to go around the track 8 times

Answers

In order to go around the track 8 times, it will take a jogger 64 minutes, or an hour and four minutes.

Which angles are supplementary?
O PKO and MKN
O PKO and PKL
O LKM and MKN
O MKN and OKN

Answers

the answer is yellow and blue

PLEASE HELP WILL MARK BRAINLIST!!!!!!

Answers

Answer:

Same, same, same, different.

Step-by-step explanation:

Same x-coordinate of vertex because no horizontal movement.

Same y-coordinate of vertex because no vertical movement.

Same direction of opening because the exponents are equal and both coefficients are positive.

Different y value at x = 1. y value for x^2 is 1 while y value for 2x^2 is 2.

Helpp this is for geometry

Answers

Answer: [tex]\frac{10\sqrt{3}}{3}[/tex]

Step-by-step explanation:

To find this use TOA which is Tan = Opposite/Adjacent

so we have tan(30°) = y/10 and to isolate the "y" we multiply both sides by 10 to get 10tan(30°) = y

where y = [tex]\frac{10\sqrt{3}}{3}[/tex]

Lipitor is a drug used to control cholesterol. In clinical trials of Lipitor, 220 subjects were treated with
Lipitor and 260 subjects were given a placebo. Among those treated with Lipitor, 86 developed infections.
Among those given a placebo, 88 developed infections. Test the claim that the rate of infection for those
treated with Lipitor was more than rate of infection for those given a placebo. at the .025 significance
level.
Claim: [Select an answer which corresponds to [Select an answer
Opposite: Select an answer
which corresponds to [Select an answer
The test is: Select an answer
The test statistic is: z-
The critical value is: Za"
Based on this we: Fail to reject the null hypothesis
Conclusion There does
appear to be enough evidence to support the claim that the rate of
infection for those treated with Lipitor was more than rate of infection for those given a placebo..

Answers

There does not appear to be enough evidence to back the claim that individuals taking Lipitor have a higher risk of infection compared to those on the placebo.

How to solve

To test the claim that the rate of infection for those treated with Lipitor was more than the rate of infection for those given a placebo at the .025 significance level, we will perform a hypothesis test using a two-proportion z-test.

Claim: p1 > p2

Opposite: p1 ≤ p2

P1 is the Lipitor group

P2 is the placebo group

The test is a right-tailed test.

Let's calculate the proportions and pooled proportion:

p1 = 86/220 = 0.3909

p2 = 88/260 = 0.3385

p = (86 + 88) / (220 + 260) = 0.3615

Now, we'll find the test statistic (z):

Using a calculator, we see that

z ≈ 1.255

The critical value (Zα) for a right-tailed test at a .025 significance level is approximately 1.96.

Since the test statistic (1.255) is below the critical value (1.96), we fail to reject the null hypothesis.

In conclusion: There does not appear to be enough evidence to back the claim that individuals taking Lipitor have a higher risk of infection compared to those on the placebo.

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A fireworks rocket is launched vertically into the night sky with an initial speed of 44.2 m/s. The rocket coasts after being launched, then explodes and breaks into two pieces of equal mass 2.50 s later. (a) If each piece follows a trajectory that is initially at 45.0 to the vertical, what was their speed immediately after the explosion? (b) What is the velocity of the rockets center of mass before and after the explosion? (c) What is the acceleration of the rockets center of mass before and after the explosion? What consequences of Myopathy (infantile hypertrophic cardiomyopathy), exercise intolerance? The base-dissociation constant, Kb, for pyridine, CHN, is 1.4 x 10. The Ka for pyridinium, CHNH is _____.A. 1.4 x 10B. 1.0 x 10C. 7.1 x 10D. 1.4 x 10E. 7.1 x 10 What does the super additive effect of Multisensory integration indicate? A cellular process is shown.Which statement best describes the significance of this process?F. The process allows organisms to grow and heal.G. The process produces clones of the parent organism.H. The process copies DNA before cell division.J. The process creates genetic variation in the resulting cells.! PLEASE GIVE EXPLANATION ! You push with a 20N horizontal force on a 2kg box of cookies resing on a horizontal surface against a horizontal friction force of 12N. Show that the acceleration of the box will be 4m/s squared. risk ___________________genetic: polymorphism in IL-1 geneage: prolonged exposure to etiological factorsGender: male have more CALsocioeconomic status 1What percentage of slave children died before the age of five?O A. 75OB. 1O C. 50O D.20 Discussion Topic In this unit, you learned about biological and chemical processes and the role of vitamins and cofactors, enzymes, metabolism, and chemical reactions in these processes. You also learned about errors in or problems with some of these processes, and the disorders that can result. Compare and contrast some of these disorders in terms of their effects on the seven biological processes of the human body-sensitivity, nutrition, movement, growth, respiration, excretion, and reproduction. Which disorders have the most serious effects, and alter such fundamental processes that they are incompatible with life? What processes are altered in these life-threatening diseases or conditions? Considering the rapid technological advancements of the current era, do you think scientific research will be able to cure or prevent any of these diseases or conditions in the near future? How many neutrons are there in an Rn-226 nucleus? Hypokalemia/Hypocalcemia unresponsive to replacement therapy --> Next step? Without the green chlorophyll all plants would be white. It doesn't make food for itself like other plants, but instead gets its nourishment through a mutually beneficial fungal and tree root (mycorrhizal) relationship. Ultimately it gets nourishment from the trees #3 i10.5 ftFind the radius of OG. Round your answer to the nearest hundredth.150The radius is about feet.Previous3E Support powered byCalcChat and CaleView Manatees are protected and endangered species. How high can fines be imposed for negligently harming a manatee? In Microsoft Visual Basic, use the ____ statement to create a string variable.a. Declb. Varc. Declared.Dim According to your readings and class lecture, the most important criterion for defining intimate terrorism is that it ______. Which of the following are benefits of Range of Motion Exercise? 1) Allows the resident to remain more independent 2) Improves circulation 3) Prevents bone loss of minerals (osteoporosis) 4) All of the above An oil slick on water is 112 nm thick and illuminated by white light incident perpendicular to its surface. What color does the oil appear (what is the most constructively reflected wavelength), given its index of refraction is 1.40 FILL IN THE BLANK._________________ most closely resembles events of mitosis except that the cells are ___________. Crime in the crinter re tanie with the came intinRead the excerpt from John F. Kennedy's 1961 address before the UNthe purpose of powerful modern weaponsthe horrors of warthe need to eliminate modern weaponssettling differences with intellect"Men no longer debate whether armaments are a symptom or a cause of tension. The mere existence of modern weapons-ten million timesmore powerful than any that the world has ever seen, and only minutes away from any target on earth-is a source of horror, and discord anddistrust Men no longer maintain that disarmament must await the settlement of all disputes--for disarmament must be a part of any permanentsettlement And men may no longer pretend that the quest for disarmament is a sign of weakness-for in a spiraling arms race, a nation'ssecurity may well be shrinking even as its arms increase"Similar to paragraph 7 in Eisenhower's Farewell Address, this excerpt from Kennedy's address revolves around the concept of-the purpose of powerful modern weapons-the horrors of war-the need to eliminate modern weapons-setting differences with intellect