Help me please I need help asap

Help Me Please I Need Help Asap

Answers

Answer 1

1. Area of the smaller circle is 100πcm²

2. Area of the bigger circle 800πcm²

How to determine the value

The formula for the circumference of a circle is expressed as;

Circumference = 2πr

Substitute the values, we get;

20π = 2πr

Divide by the coefficient of r, we get;

r = 10cm

Now, area of a circle is expressed as;

Area = πr²

Substitute the value of the radius

Area = π × 10²

Find the square

Area = 100πcm²

Area of the big circle = 8(area of the small circle)

substitute the values

Area of the big circle = 8(100π)

expand the bracket

Area of the big circle = 800 πcm²

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Related Questions

Aaliyah and Yohance are having a competition to see who can read
more pages over the coming weekend. Aaliyah has bet Ms. Solomon that
she'll read 50 more pages than Yohance. Both scholars read at an
average rate of 40 pages per hour. Yohance says that he's going to read
for 7.5 hours this weekend. How many hours will Aaliyah need to read in
order to fulfill her promise of reading 50 more pages than Yohance?

Answers

Aaliyah need to read for 8.75 hours with reading speed of 40 pages/hour in order to fulfill her promise of reading 50 more pages than Yohance.

What is reading speed?

Reading speed is the rate at which a person reads written text (printed or electronic) in a specific unit of time. Reading speed is generally calculated by the number of words read per minute.

Reading speed is determined by a number of factors, including a reader's purpose and level of expertise as well as the relative difficulty of the text.

Now,

Reading speed of both=40 pages/hour

yohance reads for 7.5 hours and reads total pages=40*7.5=300

Now, to read 350 pages Aaliyah will read for time=350/40=8.75 hours

Aaliyah need to read for =8.75 hours in order to fulfill her promise of reading 50 more pages than Yohance.

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What is the simplified value of the exponential expression 16 1/4

Answers

Answer:

Step-by-step explanation:

ans = 2

Answer:

2

Step-by-step explanation:

exponential 1/4 = sq root twice

so √16 =4, √4=2

The result of adding the numbers in the given data set

489
527
758

Answers

Don’t know brother
D

In an Isosceles Trapezoid, the shorter base is 21 and the longer base is 47. Each of the legs is 50. Find, correct to the nearest degree, the lower base angle in this Isosceles Trapezoid.

WHAT IS THE ANSWER, PLEASE ANSWER QUICK

Answers

Answer: An isosceles trapezoid is a trapezoid with two sides of equal length, and those are called legs.

Using the given information that the shorter base is 21, the longer base is 47 and the legs are 50, we can use the Law of Cosines to find the angle between the legs and the longer base.

The Law of Cosines states that for any triangle with sides of length a, b, and c and the angle opposite side c is denoted as C:

c^2 = a^2 + b^2 - 2ab * cos(C)

We will use the legs (a = b = 50) and the longer base (c = 47) as our sides and call the angle we are looking for angle x:

50^2 = 50^2 + 47^2 - 2(50)(47) * cos(x)

Solving for cos(x) will give us the angle x in terms of a cosine. To get the angle x in degrees, we will use the inverse cosine function, which gives the angle in degrees whose cosine is the input value.

cos(x) = (50^2 + 47^2 - 50^2) / (2(50)(47)) = 47/100

x = acos(47/100)

x = approx 126.6

So, the lower base angle in this isosceles trapezoid is approximately 126.6 degrees.

Step-by-step explanation:

Laila is playing a game where there are 4 blue markers and
6 red markers in a box. She
is going to pick 3 markers,
and replace each marker immediately after she
picks it.

If she picks all 3 red markers, she will win a total of $400. If
the first 2 markers she picks are blue, she will win a total of $300. Under any other outcome, she will win $0.

What is the expected value of Laila's winnings?

Answers

Answer: $134.40

Step-by-step explanation:

Using probability, Laila's expected winnings are $126.67.

What is probability? Give an example.

The study of probability mathematics deals with the topic of a random event. A coin, for instance, could land on its Head or Tail if it were thrown into the air.

Finding the likelihood for each and every conceivable value, and then adding them all together, yields the expected value.

We must determine the likelihood and value of each conceivable outcome.

Laila chances of selecting three consecutive red markers are: (6/10)(5/9)(4/8) = 1/6

Laila's initial marker's likelihood of being red but not picking three straight red markers is 6/10 - 1/6 = 13/30.

Any other event has a probability of 1 - 1/6 - 13/30 = 2/5.

We can now write our expected value expression:

(1/6 × 500)+(13/30 × $100)+(2/5 × 0)

Laila's expected winnings are $126.67.

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Is -3/5 greater than or less than -2/3

Answers

Greater since -3/5 = - 0.6 while -2/3= 0.67..67 thus -3/5>-2/3

Answer:

Step-by-step explanation:

So, to compare fractions, we need them to have the same denominators because for example, 4/1 = 4 and 4/2 = 2 is totally different.

(in that case, we could have looked at the denominators, and the fraction with the smallest denominator would be the greater one since the numerators are the same, but it was just an example)

To do that, we look at them : we see -3/5 and -2/3

3 is not a multiple of 5, neither 5 is a multiple of 3, so we use 3*5 =15

(if it was 3 and 6, we could have used 6/2 = 3 or 3*2 = 6)

Next move, we put the fractions on 15 : [tex]\frac{-2}{3} =\frac{-2*5}{3*5} =\frac{-10}{15}[/tex] and [tex]\frac{-3}{5} =\frac{-3*3}{5*3} =\frac{-9}{15}[/tex]

Now, we look at the numerators : -10 < -9

(don't forget they're negative numbers )

And to conclude :

[tex]\frac{-10}{15} < \frac{-9}{15\\}\\\frac{-2}{3} < \frac{-3}{5}[/tex]  hope it helps :)

pleas help pls i beg distance between problem easy just dont fully understand ty! help

Answers

Using the scale, 1 inch is equal to 35 miles, the distance between Danton and Crowley is  19.2 inches.

How to calculate distance?

According to the map given , considering that the distance in miles between Danton and Crowley is 672 miles, to find the distance in inches we use the scale given by the map where 1 in.:35 mi.

To solve for distance in inches;

35 miles = 1 inch

672 miles = 672 / 35 x 1 = 19 .2 inches.

The distance between Danton and Crowley at 1 in = 35 mi is 19. 2 inches meaning it will take Danton 19. 2 inches of a ride or walk to get to Crowley.

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The graph of two functions is shown
AY
If x=3 is a solution to f(x)=x²-x and g(x)=2x, why is it also a solution to f(x) = g(x)
(1 point)
O It is a solution to f(x) = g(x) because it is the x-intercept of the two graphs
O it is a solution to f(x) = g(x) because it is the y-intercept of the two graphs.
O It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect
O it is a solution to f(x) = g(x) because both graphs are positive at x = 3.

Answers

The correct option regarding the solution to the system of equations is given as follows:

It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.

How to obtain the solution to the system of equations?

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

The point of intersection in this problem has a x-coordinate of 3, hence the third option is the correct option.

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Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set
x4 = t
and solve for x1, x2, and x3 in terms of t.)

1 2 0 1 3

0 1 2 1 3
0 0 1 2 1
0 0 0 1 4
(x1, x2, x3, x4) =

Answers

The solution set of the system of linear equations represented by the augmented matrix is (x1, x2, x3, x4) = (2, 4, 2, -1)

How do we determine the values?

To determine the values, first express the system of linear equation as represented by the augmented matrix.

The system of linear equations represented by the augmented matrix is:

1x1 + 2x2 + 0x3 + x4 = 3

0x1 + 1x2 + 2x3 + x4 = 3

0x1 + 0x2 + 1x3 + 2x4 = 1

0x1 + 0x2 + 0x3 + 1x4 = 4

By applying row operations to the matrix we can find the solution set

R2 - R1

0 -1 2 0 0

0 0 1 2 1

0 0 0 1 4

R3 - 2R1

0 -1 2 0 0

0 0 1 2 1

0 0 0 -3 2

R4 - 4R1

0 -1 2 0 0

0 0 1 2 1

0 0 0 -7 8

R3 - R2

0 -1 2 0 0

0 0 0 -1 3

0 0 0 -7 8

R4 - 7R2

0 -1 2 0 0

0 0 0 -1 3

0 0 0 0 -1

R4/ -1

0 -1 2 0 0

0 0 0 -1 3

0 0 0 1 -1

x4 = -1

x3 = 3x4 + 1 = 2

x2 = 2x3 = 4

x1 = 3 - 2x2 - x4 = 2

Therefore, the solution set is (x1, x2, x3, x4) = (2, 4, 2, -1)

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helppp pleaseeeee im stuck on this

Answers

The closing balance of the accumulated depreciation account, obtained from the values in the table is; $3,000

What is the depreciation of an asset?

Depreciation is the cost of an asset during the indicated useful life of the asset

The closing balance of the accumulated depreciation account can be found as follows;

The accumulated depreciation is the sum of the depreciation charged on an asset up to the current date.

The formula for calculating the accumulated depreciation can be presented as follows;

Accumulated depreciation = [tex]\frac{(Cost \ of\ asset - Salvage\ Value)}{Life\ of\ Asset}[/tex] × Indicated Period

The indicated period is the number of years of use for the asset

The specified table is the accumulated depreciation account which is a contra asset (that reduces the value of the asset) account, therefore, the amounts stated indicates the depreciation during a specified period

The balance b/f on January 1, 2012, (beginning of the year) is the depreciation balance brought forward, which in the table is $1,000

The depreciation on Dec 31, 2012, (the end of the year) which is the depreciation during the year is; $2000

The accumulated depreciation is therefore; $1,000 + $2,000 = $3,000

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Ten thousand draws are made at random with replacement from a box with ninety-nine tickets marked "0" and one ticket marked "1." True or false, and explain:
a) The sum will be around 100, give or take 10 or so.
b) There is about a 68% chance that the sum will be in the range 90 to 110.

Answers

a) The sum will be around 100, give or take 10 or so. - True

b) There is about a 68% chance that the sum will be in the range of 90 to 110. - True

a) True. The expected value of a single draw is (0.990)+(0.011)=0.01, and the expected value of 10,000 draws is 0.0110,000=100. The standard deviation of a single draw is the square root of (0.990^2)+(0.011^2)=0.01. So, the standard deviation of 10,000 draws is sqrt(10,0000.01)=10. This means that the sum of 10,000 draws will be around 100, give or take 10 or so.

b) True. The sum of 10,000 draws follows a normal distribution with a mean of 100 and a standard deviation of 10. Using the 68-95-99.7 rule, 68% of the data falls within one standard deviation of the mean. So, the chance that the sum will be in the range of 90 to 110 is 68%.

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∠PQR​​​ is a right angle. Find ​​​m∠PQS​ and ​m∠SQR​.

Answers

Answer:

<PQS = 47

<SQR = 43

Step-by-step explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90  Combine like terms

13x + 272 = 90  Subtract 272 from both sides

13x = 90 - 272

13x = -182  Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90

If the simple interest on 7,000 for 10 years is 3,500, then what is the interest rate?

Answers

The interest rate on 7,000 for 10 years with a simple interest of 3500 is 5.

What is the rate of a simple interest

Simple interest is the amount paid on a principal amount of money that is borrowed or loaned to someone. It is calculated using the formula: SI = (P × R × T) / 100. Interest Rate (R) is a percent of the principal earned or paid.

From the question;

P = 7,000

T = 10

SI = 3500

we shall evaluate for the rate R as follows:

3500 = (7,000 × R × 10)/ 100

3500 = 70R

divide through by 70

3500/70 = 70R/70

R = 35/7

R = 5

Therefore, the rate for the amount 7,000 that will give a simple interest of 3500 for 10 years is 5

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If I could get some help with this real quick

Answers

Answer: 1/16

Step-by-step explanation:

4^4*4^(-7)*4

= 4^(-3)*4

=4^(-2)

= 1/16

What is the range of the function y=3/x+8?
AYA8
-8 05y<
25y

Answers

Answer: (−∞,8)∪(8,∞),{y|y≠8}

Step-by-step explanation:

Answer: The range of a function is the set of all possible output values (y-values) for a given function.

For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.

The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.

However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R

It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3

Step-by-step explanation:

7 What is the sum of 89 +6​

Answers

Your sum is 95!

Hope this helps:)

Answer:

95

Step-by-step explanation:

Which transformations are needed to transform the graph of f(x) = 4^x to the
graph of g(x) = (4)(x+³) — 2
-
Select 2 correct answer(s)
Horizontal translation 2 units right
Vertical translation 2 units up
Vertical translation 3 units up
Vertical translation 2 units down
Horizontal translation 3 units right
Horizontal translation 3 units left

Answers

Answer:

Horizontal translation 3 units left

Vertical translation 2 units down

Step-by-step explanation:

Inside the parent function is horizontal.

Outside the parent function is vertical.


If y = 3x - 7,x > 0, what is the minimum product of x2y?

Answers

On solving the provided question, we can say that we have the equations as  y = 3x - 7 where x > 0. so let us assume x = 4 = > y = 5

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

we have the equations as

y = 3x - 7 where x > 0

so let us assume x = 4

y = 5

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is it inversely proportional

Answers

A given information is inversely proportional when one value decreases at the same rate that the other increases. It should be noted that an example is speed and travel time

What is an inverse relationship?

Only when two variables are directly proportional to one another's reciprocal can two variables be said to be inversely proportional. Alternately, we can state that when two variables or quantities are in inverse proportion, their product has a constant value.

One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease.

Note that your information is incomplete and a overview was given.

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Question 5 (Multiple Choice Worth 2 points)
(Slope MC)
What is the slope of the line that contains the points (-3,-7/2) and (2,-4)?

1/4
1/10
-1/10
-1/4

Answers

M=y2-y1/x2-x1 equal to -1/10 which is the gradient

Please help someone explain why is this the answer ​

Answers

Answer:

By the slope intercept equation y=mx+ c in which m is the slope.

Change the given equation into slope intercept form, y=-x+7. The coefficient of x will be the slope value which is -1.

Which of the following is the value of x in the equation? 4x-3-5x=24

Answers

The value of x in the given linear equation 4x - 3 - 5x = 24 is:

x = 27

How to get the value of x in the equation?

Here we want to find the value of x in the equation:

4x - 3 - 5x = 24

Notice that this is a linear equation that depends on x.

To find the solution, we need to isolate x in one of the sides of the linear equation.

First, we need to group like terms so we get:

4x - 3 - 5x = 24

(4x - 5x) - 3 = 24

-x - 3  = 24

Now we can move the "-3" to the other side to get:

-x = 24 + 3

-x = 27

And now change the sign:

x = -27

That is the value of x in that equation.

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using properties of the type of triangle you have identified (isosceles) (QR and RS are equal), set up a problem and solve for x
Q: 8x-17
R: 19x+4
S: 5x+1

Answers

The required required value of angles are  31, 118, 31.

Explain isosceles triangle.

An Isosceles triangle is a triangle that has two equal sides. Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides“.

According to question:

We have,

∠Q = 8x-17, ∠R = 19x+4, ∠S = 5x+1

So,

∠Q + ∠R + ∠S = 180

= 8x-17 + 19x+4 + 5x+1

= 32x - 12 = 180

= 32x = 192

x = 6

Angles are;

∠Q = 8x-17 = 8(6)-17 = 31

∠R = 19x+4 = 19(6)+4 = 118

∠S = 5x+1 = 5(6)+1 = 31

Thus, required value of angles are  31, 118, 31.

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Justina surveyed students to find how many sports they play Which graph is the most appropriate to illustrate the results?

A circle graph

B venn diagram

C stem-and-leaf plot

D double line graph ​

Answers

Answer:

A. Circle Graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

Step-by-step explanation:

A circle graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

A circle graph is used to display the proportion of different categories of data. In the case of Justina's survey, the categories would be the different sports that the students play, and the proportion of students who play each sport would be represented by the size of the corresponding wedge in the circle graph. The circle graph allows for a clear and easy-to-understand comparison of the relative popularity of different sports among the surveyed students.

A Venn diagram is used to show the relationships between different sets of data. It's not appropriate in this case as the students are not being asked to pick two or more sports they play, but the number of sports they play.

A stem-and-leaf plot is used to display the distribution of numerical data, it's not appropriate for this case because it does not show the proportion of students playing each sport.

A double line graph is used to compare two sets of data over time. It's not appropriate for this case because it doesn't show the proportion of students playing each sport.

A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question.
Responses

d=(0.6)(0.5) d is equal to 0 point 6 times 0 point 5

30=0.6t 30 is equal to 0 point 6 t

d=(0.6)(30) d is equal to 0 point 6 times 30

0.6=30r

Answers

The equation that can be used to answer this question concerning speed would be = d=(0.6)(30). That is option C.

What is constant speed?

Constant speed is defined as the quantity that expresses the an object which travels the same distance in the same period of time.

The constant speed of the zebra = 0.6 miles per minute

Therefore, if 0.6 miles = 1 minute

d miles = 30 minutes

d miles = 30 × 0.6/1

d miles = 18 miles

Therefore the expression that can be used to answer this question would be = d=(0.6)(30).

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A 95 percent confidence interval of the form p + E will be used to obtain an estimate for an unknown population proportion p. If p is the sample proportion and E is the margin of error, which of the following is the smallest sample size that will guarantee a margin of error of at most 0.08?

Answers

Answer:

The sample size needed to guarantee a margin of error of at most 0.08 in a 95 percent confidence interval for an unknown population proportion p can be found using the formula:

n = (p(1-p)) / E^2

Where n is the sample size, p is the sample proportion, E is the margin of error, and Z is the Z-score for the desired level of confidence. Since we are using a 95 percent confidence level, the Z-score is approximately 1.96.

To find the smallest sample size that will guarantee a margin of error of at most 0.08, we need to plug in the values for E and Z into the formula and solve for n.

n = (p(1-p)) / (0.08)^2

Since we don't know the population proportion p, we can use a rough estimate of 0.5 to get a rough estimate of the sample size. This is known as the conservative sample size, because it is based on the worst-case scenario (i.e. the proportion is exactly 0.5).

n = (0.5 * (1 - 0.5)) / (0.08)^2

n = (0.25) / (0.0064)

n = 3906.25

So, the smallest sample size that will guarantee a margin of error of at most 0.08 is 3906.25.

It should be rounded up to 3907.

Step-by-step explanation:

Can someone help me with this

Answers

Answer:  D

Step-by-step explanation:

Answer) D! You have to remember to add tax to the answer

Graph a right triangle with the points (-6, 4) and (-9,8) forming the hypotenuse. Using the sides, find the
distance between the two points in simplest radient form.

Answers

Answer:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-4,3) and (-8, -1) *Click twice to draw a line. Click a segment to erase it." 30 4 -10 - -6-5-43 -8 This problem has been solved!

Step-by-step explanation:

three hundred fifty - two thousand five hundred seventy-six

Answers

The value of expression after subtraction is, 2,226.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The expression is,

⇒ three hundred fifty - two thousand five hundred seventy-six

Now, We can write the expression as;

⇒ three hundred fifty - two thousand five hundred seventy-six

⇒ 350 - 2,576

After subtraction we get;

⇒ - 2,226

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find the y intercept of y=x^2-6x+8

Answers

The y-intercept of the expression y=x^2-6x+8 is y(0,8).

What are intercepts?

The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.

The given expression is -

y = x²-6x+8

To find the y-intercept, substitute the value of x with 0.

y = x²-6x+8

y = (0)²-6(0)+8

y = 8

Therefore, the y-intercept is (0,8).

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No, because it was not a bribe to a foreign official A student has scores of 63, 65, and 73 on his first three tests. He needs an average of at least 70 to earn a grade of C in the class.What is the minimum score that the student needs on the fourth test to ensure a C? pl q6. what does the electric field look like within a parallel-plate configuration?pl q6. what does the electric field look like within a parallel-plate configuration? 1. Write a JavaScript function that takes a number as an input from the user, then prints out if the number a multiple of 11 or not. 2. Write a JavaScript function that takes a string, then counts how many Consonants in it. You need to consider capital case and small case letters. An electron is accelerated from rest to 3.0106m/s in 9.010^8s.A. What distance did the electron travel in this time interval?B.What is its average acceleration? The direction of the unit vector ^ is the direction of motion of the electron. Protect specific signs and trademarks that distinguish specific goods and services from other goods and services. 4 Multiple Choice X 00:55:15 Export Import property rights O Intellectual property rights O Industrial property rights O International property rights Consider the two court cases discussed in this module. Why is the analysis used in the first court case an example of statistical inference, but the analysis in the second court case is not? The first case draws a conclusion based on probability. The first case involves 1025 students instead of only 88 students. The first case uses proportion of matches on wrong answers instead of all answers. D Question 2 2 pts 3 I9060 E- E R SATIRERER which microorganisms would be expected to contribute co2 to the atmosphere? there is more than one correct choice, select all that apply to receive credit.1) green sulfur bacteria 2) aerobic methanotrophs 3) nitrifying bacteria 4) denitrifying bacteria that use glucose as an electron donor 5) sulfide oxidizing bacteria 6) iron reducing bacteria that use lactate as an electron donor 7) sulfate reducing bacteria that use lactate as an electron donor Neil Wooten has a terminal illness. His doctors have estimated his remaining life expectancy as three years. Neil has a $450,000 life insurance policy but no close relative to list as the beneficiary. He is considering canceling the policy because he needs the money he is currently paying for the premiums to buy medical supplies. A wealthy close friend has advised Neil not to cancel the policy. The friend has proposed instead giving Neil $270,000 to use for his medical needs while keeping the policy in force. In exchange, Neil would designate the friend as the policy beneficiary. Neil is reluctant to take the $270,000 because he believes that his friend is offering charity. His friend has tried to convince Neil that the offer is a legitimate business deal. ise 10-38 Determining the present value of LO 10 Required a. Determine the present value of the $450,000 life insurance benefit. Assume a 10 percent discount rate. Assuming 10 percent represents a fair rate of return, is Neil's friend offering charity or is he seek- ing to profit financially from Neil's misfortune? how can you explain that the soapberry population ended upu with a bimodal phenotypic distribution The use of remittance advices for mail receipts is an example of independent internal verification. documentation procedures. other controls physical controls. 6 Blake Company has a credit balance of s50 in its Allowance for Doubtful Accounts It is estimated that 1 of credit sales for $250,000 will be uncollectble What is the adjusted Allowance for Doubtful Accounts balance by using the percentage-of- sales method? $ 2,450 2,500 2, 650 2, 550 C. 7 Which of the following control activities is relevant when a company uses a computerized (rather than manual) accounting system? b. C. d. Establishment of responsibility Segregation of duties Independent internal verification All of these control activities are relevant to a computerized system 8 Fran earned gross salary of $252,000 in 2017. Her FICA (Social Security and Medicare) deduction is: 19,278 10,729 11,540 a. b. Assuming the volume of the stomach to be 1. 0 L, what will be the pH change of the stomach acid resulting from the ingestion of one Tums ultra 1000 tablet that contains 1000 mg of cal- cium carbonate If 1. 5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1. 5 thousand gallons is expected to be left at the end of the week A city that has an elevation of -17 meters is closer to sea level than a city that has an elevation of -40 meters a circuit consists of three unequal capacitors c1, c2, and c3 which are connected to a battery of voltage v0. the capacitance of c2 is twice that of c1. the capacitance of c3 is three times that of c1. the capacitors obtain charges q1, q2, and q3. 3. describe the treatment of a not-for-profit, nongovernmental foundation that is related to a public university under gasb standards. A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive "netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained.Estimate Std. Error t value Pr(>|t|)(Intercept) 2.5463 0.4427 5.7513 0.0000size 0.0667 0.3672 0.1818 0.8578The response variable is ____.a. size of lakeb. seasonal catch A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of four colors. Relevant probabilities for various combinations of transmission type and color are given in the table below.COLORTRANSM?SS?ON TYPE white blue black redA 13 10 11 11M 15 07 15 18Let A = {automatic transmission}, B = { black } , and C = { white }. a) Calculate P(A), P(B), and P(A ? B). b) Calculate both P(A | B) and P(B | A), and explain in context what each of these probabilities represent. c) Calculate and interpret P(A | C) and P(A | C').