what is 3/5 divided by 6/7 in KCF​

Answers

Answer 1
7/10 I think this is really but just to be sure wait till someone else answer 3/
5
×
7/
6
=
3 × 7
5 × 6
=
21
30
=
21 ÷ 3
30 ÷ 3
=
7/
10

Related Questions

A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?

Answers

Answer:  1

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.

How many significant figures are in the number

43.6? 43.6 has [?] significant figures.​

Answers

Answer:

43.6 has 3 significant figures.

A wage earner receives a gross pay of $983.15 for 52.5 hours of work. What is his hourly rate of pay if a regular workweek is 44 hours and overtime is paid at time-and-a-half the regular rate of pay?

Answers

Answer:
$56.76
Step by Step explanation:

We must first identify the regular pay and overtime pay before we can calculate the hourly rate of pay. The wage earner worked 8.5 hours over the standard 44-hour workweek, or 52.5 hours total. We must first establish the regular rate of pay because the overtime rate of pay is 1.5 times that amount.

Let's name the standard hourly wage "x." The standard wage for 44 hours is 44 hours * x, which comes to $44x. The overtime pay would be $12.75 for 8.5 hours * x * 1.5. $44 x + $12.75 x = $56.75 x = $983.15 would be the entire salary.

So, $983.15 / $56.75x = 17.45. And, x = $983.15 / 17.45 = $56.76.
56.76 The person on top is correct I got it right on the test

Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?

Answers

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

HELP!! WILL GIVE BRAINLIEST!!!

The direct proportion y=kx is given in the following table. Find the coefficient k, and fill in the table:

HELP!! WILL GIVE BRAINLIEST!!!The direct proportion y=kx is given in the following table. Find the coefficient

Answers

Answer:

Look at image

Step-by-step explanation:

image shown below, copy the answer from there.

HELP!! WILL GIVE BRAINLIEST!!!The direct proportion y=kx is given in the following table. Find the coefficient

The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The direct proportion y = kx is given in the shown table.

Find the coefficient k, and fill in the table:

As per the question, we have

y = kx    .....(i)

To  determine the value of k, we substitute the value of x = 0.14 and y  = 0.7 in equation (i),

⇒ 0.7 = k (0.14)

⇒ k = 0.7/0.14

⇒ k = 5

Substitute the value of k = 5 in equation (i), and we get

y = 5x   .....(ii)

Now, we are finding the values of the table,

Substitute the value of x = 3.1 in equation (ii), and we get

y = 5(3.1)

y = 15.5

Similarly, the other required values are

y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

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HELP!! WILL GIVE BRAINLIEST!!!The direct proportion y=kx is given in the following table. Find the coefficient

1- An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces (oz), what is the weight in pounds, in the case of wooden pencils?

Answers

Answer:

Total weight in lb = 10 lb

The weight of wooden pencils is 10 pounds.

Step-by-step explanation:

We are given that an office supply company is shipping a case of wooden pencils to a store.

There are 64 boxes of pencils in the case.

The weight each box of pencils is 2.5 ounces (oz)

We are asked to find the weight of wooden pencils in pounds.

Step 1: Find the total weight of pencils in ounces

Since there are 64 pencils and each pencil weighs 2.5 ounces,

Total weight in oz = 64×2.5

Total weight in oz = 160 oz

Step 2: Convert the total weight of pencils into pounds

We know that 1 pound has 16 ounces so we have to divide the total weight of the pencils by 16 to get the weight in pounds

Total weight in lb = 160/16

Total weight in lb = 10 lb

Therefore, the weight of wooden pencils is 10 pounds.

17/6749 find the remainder

Answers

Answer:

17

Step-by-step explanation:

17 = 6749 × 0 + 17

Then

The remainder is 17

How many
1/5s are in 9?

A.5/9
B.9/5
C.45
D.4 1/2

Answers

Answer:

C 45

Step-by-step explanation:

Answer:

Answer and explanation

9 ÷ 1/59 × 5/1= 45

For two n by n square matricies A and B,
suppose rankA = rankB = n-1.

Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)

If so, I humbly ask you for an example.
Thank you very much.

Answers

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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you love to play pool at the local hall if it costs $10 just to play plus $2.30 per game played what is the most number of games that you can play in one night on $50

Answers

Answer:

4

Step-by-step explanation:

or 17

10 to enter i assume and then 2.30 per game

12.3 everytime u play

50/12=4

If l=5,b=3cm,c=2cm, find its volume

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = b×c

=> 5×3×2

=> 30 cm³

The radius of a circle is 19 cm. Find the area

Answers

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=

Suppose that is a function given as f(x) = 4x + 5x + 3.Simplify the expression f(x + h).f(x + h)Simplify

Answers

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

F(x+h)

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

Difference quotient

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

Limit

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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Suppose that is a function given as f(x) = 4x + 5x + 3.Simplify the expression f(x + h).f(x + h)Simplify

Arrange in order from smallest to largest.
6.187, 27.132, 3.55, 9.312

Answers

Answer: 3.55, 6.187, 9.312, 27.132

Step-by-step explanation:

The easiest way I do this is by rounding all the numbers to the nearest hundredths, tenths, or whole numbers.

3.55 = 4
6.187 = 6
9.312 = 9
27.132 = 27

A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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use theorem 2.1.13 to prove that if $f$ and $g$ are continuous functions with open domains $u f$ and $u g$, and if $g(u g)\subseteq u f$, then $f \circ g$ is continuous on $u g$

Answers

Since function f andg are continuous and u g subseteq u f, Theorem 2.1.13 states that f circ g is continuous on u g.

In accordance with Theorem 2.1.13, if two functions,f andg, are continuous on open domains \($u f$\)and \($u g$\) respectively, and $g(u g)subseteq u f, then $ circ g is continuous on u g. This is the case since the domain of f, which is u g is a subset of the domain of f, which is u g, and the composition of continuous functions is continuous. The composition of these two functions will be continuous onu g because both of these functions are continuous and u g subseteq u f.

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I don’t know how to do this problem help me!!

I dont know how to do this problem help me!!

Answers

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Let y = 5x^2
Find change in y, deltay when x =2 and delta x = .1


Find the differential dy when x = 2 and dx = .1

Let y = 5x^2Find change in y, deltay when x =2 and delta x = .1 Find the differential dy when x = 2 and

Answers

 

Change in y when x =2 and  Δx= 0.1 is 2.05 and the differential dy when x= 2 and dx = 0.1 is 2

Δy and dy can be calculates as follows

We already knew that Δy = f( x + Δx ) - f(x) and y = f(x)

so we just need to subtitute the values

Δy = f( x + Δx ) - f(x)

Δy = f( 2 + 0.1 ) - f(2) and back to y = f(x) we can subtitute the f(x) by \(5x^{2}\) so,

Δy = \(5(2.1)^{2} -5(2)^{2}\)

Δy = 2.05

and for the differential,

dy = f'(x) dx  and we need to know diferential from y=\(5x^{2}\) is 10x

so we just subtitutes the values

dy = f'(x) dx

dy = f'(2) (0.1) and back to  diferential from y=\(5x^{2}\) is 10x so subtitute the f'(x)

dy = 10(2) (0.1)

dy =  2

hence, change in y, Δy is 2.05 an the diferenyial dy is 2

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In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.​

In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are

Answers

Answer: probably 4 cards each person

Step-by-step explanation:

An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?

Answers

Answer:

262.5 miles

Step-by-step explanation:

Correct me if I am wrong

An airplane flies 105 miles in hour. How far can it fly in 1 hours at the same rate of speed?

y = |x - 5| + |x + 5| if x >5

Answers

Answer:

  y = 2x

Step-by-step explanation:

You want the simplified form of y = |x -5| +|x +5| if x > 5.

Turning points

The graph of the whole function will have turning points where the absolute value expressions are 0:

  x -5 = 0   ⇒   x = 5

  x +5 = 0   ⇒   x = -5

For values of x > 5, we are concerned with that portion of the graph that is to the right of both of these turning points. Hence, both absolute value expressions are positive and unchanged by the absolute value bars.

  y = (x -5) +(x +5) . . . . . . if x > 5

  y = 2x . . . . . . . . . . . . . . collect terms

The simplified function is y = 2x.

__

Additional comment

The attached graph shows y=2x and the given function for x > 5. They are identical. (The y=2x graph is shown dotted, so you can see the red graph of the given function.)

y = |x - 5| + |x + 5| if x &gt;5

Need help. This please

Need help. This please

Answers

The domain of the quadratic function in this problem is given as follows:

All real values.

How to obtain the domain of the function?

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.

The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.

What are the coordinates of point C′C′? (NEED THIS ASAP)

Answers

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

2.2.18Find the vertex of the graph of the quadratic function. Determine whether thegraph opens upward or downward, find the y-intercept, and sketch the graph.f(x) = - x2 - 2x+3The vertex is(Simplify your answer. Type an ordered pair.)

Answers

The quadratic function is given by the following expression:

\(f(x)=-x^2-2x+3\)

The direction at which the graph opens is determined by the signal of the number multiplying x². If the number is positive then the graph opens upwards, if it is negative it opens downward. In this case it is negative so it opens donward.

The vertex of a quadratic expression can be found by the following expression:

\(x=\frac{-b}{2a}\)

Where a is the number multiplying "x²", while b is the number multiplying "x". Applying the data from the problem we have:

\(x=\frac{-(-2)}{2\cdot(-1)}=\frac{2}{-2}=-1\)

To find the value of "y" for the vertex we need to apply the coordinate for x on the expression. We have:

\(\begin{gathered} f(-1)=-(-1)^2-2\cdot(-1)+3 \\ f(-1)=-1+2+3=4 \end{gathered}\)

The coordinates of the vertex are (-1,4).

To sketch a graph we need to find the x-intercept and y-intercept of the function. These are given when f(x) = 0 and x=0 respectively. Let's find these points.

\(\begin{gathered} 0=-x^2-2x+3 \\ -x^2-2x+3=0 \\ x_{1,2}=\frac{-(-2)\pm\sqrt[]{(-2)^2-4(-1)(3)}}{2\cdot1} \\ x_1=-3 \\ x_2=1 \end{gathered}\)\(f(x)=-0^2-2\cdot0+3=3\)

The x intercept happens in two points -3 and 1, while the y intercept happens in the point 3. With this and the vertex we can sketch the function.

2.2.18Find the vertex of the graph of the quadratic function. Determine whether thegraph opens upward
2.2.18Find the vertex of the graph of the quadratic function. Determine whether thegraph opens upward

If Coach Smith has 12 players and each player needs three uniforms, three shin guards, two balls, and three pairs of cleats. How much will he end up spending on his equipment for the entire soccer team?

Answers

you can't do that. there isn't enough detail. we don't know how much each item costs

The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure in degrees Celsius:

F=9/5C+32

C+32F, equals, start fraction, 9, divided by, 5, end fraction, C, plus, 32
Rearrange the formula to highlight the measure in degrees Celsius. C=

The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure

Answers

Answer:

.............................

The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure

After rearrange the formula to highlight the measure in degrees Celsius is;

C = 5/9 ( F - 32 )

Given that;

Formula to measure temperature's in degrees Fahrenheit F is;

F = 9/5C + 32

We have to find the formula to highlight the measure in degrees Celsius

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Formula to measure temperature's in degrees Fahrenheit F is;

F = 9/5C + 32

The formula to highlight the measure in degrees Celsius is find as;

F = 9/5C + 32

Subtract 32 both sides;

F - 32 = 9/5 C + 32 - 32

F - 32 = 9/5 C

Multiply by 5 both sides;

5 ( F - 32 ) = 5*9/5 C

5 ( F - 32 ) = 9C

Divide by 9 both sides;

5/9 ( F - 32 ) = C

C = 5/9 ( F - 32 )

Hence, After rearrange the formula to highlight the measure in degrees Celsius is;

C = 5/9 ( F - 32 )

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helpppppp meeeeeeeee​

helpppppp meeeeeeeee

Answers

Answer:

probably H but im not sure

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

the equation is 5x=0.1y

Find the percent of decrease from 136 days to 85 days. Round the percent to the nearest tenth if necessary

Answers

The percent of decrease from 136 days to 85 days is,  37.5%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The days decrease from 136 days to 85 days.

Hence, The percent of decrease from 136 days to 85 days is,

Decrease percent = (136 - 85) / 136 × 100

                            = 37.5%

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Question 7(Multiple Choice Worth 5 points)
(04.02 MC)
The two-way frequency table contains data about students' preferred exercise.
Likes running 28
Does not like running 46
Column totals 74
What is the joint relative frequency of students who do not like to run and enjoy swimming?
O23%
37%
Enjoys swimming Enjoys cycling Row totals
62
90
64
110
126
200
46%
072%

Answers

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

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Find the area of theparallelogram.9.9 in5.5 in[?] in2Enter the exact answer. Do not round

Find the area of theparallelogram.9.9 in5.5 in[?] in2Enter the exact answer. Do not round

Answers

The area of a parallelogram is given by:

\(A=B\cdot H\)

Where:

B = Base = 9.9 in

H = Height = 5.5 in

Therefore:

\(\begin{gathered} A=9.9\cdot5.5 \\ A=54.45in^2 \end{gathered}\)

Answer:

54.45 in²

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Examine if the following is a legitimate probability distribution. 0 1 2 3 4 f(x) 0.1 0.25 0.35 0.15 0.1 O yes O no Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Jessica has been adding money. Suppose that x and y are related by the equation =+55030xy. which of the following is not one of the four main theories that attempts to explain why companies engage in foreign direct investment? Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table: \begin{tabular}{lccccccccccc} \hline Year & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline Registrations (000) & 3.0 & 5.0 & 3.0 & 6.0 & 10.0 & 7.0 & 8.0 & 9.0 & 12.0 & 12.0 & 12.0 \\ \hline \end{tabular} This exercise contains only parts a and b. a) Using a 3-year moving average, the forecasted registrations (in thousands) for years 4 through 12 are (round your responses to one decimal place): \begin{tabular}{lccccccccc} \hline Year & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline Forecast & & & & & & & & & \\ \hline \end{tabular} b) Using a 3-year weighted moving average in which the registrations in the most recent year are given a weight of 2 , and registrations in the other 2 years are each given a weight of 1 , the forecasted registrations (in thousands) for years 4 through 12 are (round your responses to one decimal place): \begin{tabular}{lccccccccc} \hline Year & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline Forecast & & & & & & & & & \\ \hline \end{tabular} a 152 lb man sits in the middle of a 99 lb, 11 ft long boat. the boats prow touches the pier, but the boat isnt tied to it. the man stands up and walks towards the pier. What part of the central nervous system can function without the direct involvement of the brain? True or False? San Antonio is the only place where Cinco de Mayo is celebrated. Find the absolute extrema of the function on the closed interval.g(x)=3x/x-2, [-2,1]Minimum (x,y) = ( ) (smaller x-value,)Minimum (x,y) = ( ) (smaller x-value,)Maximym (x,y) = ( ) what is the legal effect of the death or incapacity of a party whose personal services are necessary to fulfill the terms of the contract? true or false? of the three types of procrastination, the most serious is the straightforward procrastinator because they fool themselves into thinking they have more time. The diameter of a circle is 13inches . What is the circle's area? Use 3.14 for a 40 year bond with a par value of 5000 is redeemable at par and pays semi-annual coupons at a rate of 7% convertible semi-annually. the bond is purchased to yield annual effective rate of 6%. calculate the amortization of the premium in the 61st coupon. 5.5. Kara is zip-lining in the rainforest. She is standing at the top of Platform Aready to zip-line to Platform B. If the horizontal distance between theplatforms is 500 feet and the length of the zip-line is 685 feet, find theangle of depression from Platform Ato Platform B to the nearest tenth. Why was Wiesel attacked on Feb.1, 2006?1 Which graph correctly represents the quadratic equation? if you are driving at night, turn on your car's headlights" is an example of the _____ structure. Helppppp The area of a rectangular parking lot is 6364 m. If the width of the parking lot is 74 m, what is its length?Length of the parking lot: URGENT PLEASE HELPACE is an isosceles triangle. What is the measure of A company is planning to purchase a plot of land for $200,000 to build a factory. There are two options offered by a lending institution.1. 20-year loan at 3.25% APR compound monthly 2. 30-year loan at 4.75% APR compound monthly - Calculate the monthly payment for both options.- Calculate the finance charge for both options.- Determine which option is better for the company & explain why. Find the image of (-1, 3) obtained by translating2 units down, followed by a rotation of 180counterclockwise about the origin.HELP QUICK