find the slope of y=6x+2

Answers

Answer 1

Hello,

y = ax + b where a is the slope ! so here the slope is 6


Related Questions

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

Answer:

the following 3 equations are equivalent :

• x + 1 = 4

• 2 + x = 5

• -5 + x = -2

Step-by-step explanation:

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

-5 + x = - 2

Let’s take this equation :

x + 1 = 4

=======

By Adding 1 to both sides of the equation we get :

x + 1 + 1 = 4 + 1

⇔ x + 2 = 5

⇔ 2 + x = 5

Then the equations x + 1 = 4  and 2 + x = 5 are equivalent.

…………………………………………………………………

On the other hand ,if we subtract 6 from both sides

of the equation x + 1 = 4  we get :

x + 1 - 6 = 4 - 6

⇔ x - 5 = -2

⇔ -5 + x = -2

Then the equations x + 1 = 4  and -5 + x = -2 are equivalent.

Answer:

A. 2 + x = 5

B. x + 1 = 4

E. -5 + x = -2

Step-by-step explanation:

right on edg, hope it helps ya'll.

Find the 8th term of the geometric sequence 5, -15, 45

Answers

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-15}{5}[/tex] = - 3 , then

a₈ = 5 × [tex](-3)^{7}[/tex] = 5 × - 2187 = - 10935

I need help cancelling units

Answers

Answer:

60:1

Step-by-step explanation:

60:1 = 366:x

60x = 366

x = 6.1


366 minutes is equivalent to 6.1 hours.

Conversion of time units

Convert 366 minutes to hours.

Knowing that in 60 minutes = 1 hour.

[tex]\boldsymbol{\sf{Therefore \ \to \ 366 \not{m}*\dfrac{1 \ hr}{60\not{m}}=6.1 \ hr }}[/tex]

We conclude that a time of 366 minutes is equal to 6.1 hours

There are 60 minutes in 1 hour. To convert from minutes to hours, divide the number of minutes by 60. For example, 120 minutes equals 2 hours because 120/60=2.

The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

Answers

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

How to determine the percentage?

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

Note: With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 56%.

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Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

What is the slope of a line that is parallel to the line y = 3/4x+2?

Answers

Answer: 3/4

Step-by-step explanation:

Parallel lines have the same slope.

Consider the function f(x) = x² + 10x + 25 for x ≥ -5.
What is the value of f-¹(x) when x = 4?

Answers

Answer:

-3

Step-by-step explanation:

Decrease 100kg by 30%

Answers

Answer:

70

Step-by-step explanation:

the 30/100 of 100 is 30

So 100-30=70

Answer:

70kg

Step-by-step explanation:

30% of 100kg is

--> 100 x 30/100 which is 30kg.

If you want to decrease 100kg by 30%, you can take away 30kg from 100kg.

--> 100 - 30 = 70

So 70kg is the remainder.

On the way to visit her grandmother, Sally drove at an average speed of 85 mph. On the way home (taking the same route) she only averaged 65 mph. If the total round trip took 18 hours, how many hours did it take Sally to drive to her grandmother's? Write your answer as a decimal.​

Answers

Answer:

7.8 hours

Step-by-step explanation:

We will use the formula:

distance =rate×time

We don't know the distance but it is the same distance going and returning. Two rate×time calculations will both equal that distance from Sally's to Grandma's. See image.

Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $\$$30.00, how many 30-cent items did she purchase

Answers

she bought 20 items at price of 0.01$, 6 items at cost $2, 4 items at cost $3.

According to the statement

Janice bought total items = 30

Price of items are 30 cents, 2 dollars, or 3 dollars.

Total purchase price of Janice = 30$

If we let she bought 10 items at price of 3$, Then it is not possible

So, Number of items which are bought by her at price of $3 is less than 10. Similarly Number of items which are bought by her at price of $2 is less than 10.

we know that 1 CENT = 0.01 $

We also know that 10 30-cents will worth 3 dollars, so the number of cents which are bought by her at price of $0.01 is greater than 10.

Now, Let she bought 20 items at price of 0.01$

Then 20*0.3 = 6$

It means 30$-6$ = 24$

24$ are left to purchase the things which are at price of 2$ and 3$.

If we let she purchase 4 items at cost $3 then

Then 4*$3 = 12$

It means 24$-12$ = 12$

Now, with remaining money she bought 6 items at cost $2.

So, she bought 20 items at price of 0.01$, 6 items at cost $2, 4 items at cost $3.

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she bought 20 items at price of 0.01$, 6 items at cost $2, 4 items at cost $3.

According to the statement

Janice bought total items = 30

Price of items are 30 cents, 2 dollars, or 3 dollars.

Total purchase price of Janice = 30$

If we let she bought 10 items at price of 3$, Then it is not possible

So, Number of items which are bought by her at price of $3 is less than 10. Similarly Number of items which are bought by her at price of $2 is less than 10.

we know that 1 CENT = 0.01 $

We also know that 10 30-cents will worth 3 dollars, so the number of cents which are bought by her at price of $0.01 is greater than 10.

Now, Let she bought 20 items at price of 0.01$

Then 20*0.3 = 6$

It means 30$-6$ = 24$

24$ are left to purchase the things which are at price of 2$ and 3$.

If we let she purchase 4 items at cost $3 then

Then 4*$3 = 12$

It means 24$-12$ = 12$

Now, with remaining money she bought 6 items at cost $2.

So, she bought 20 items at price of 0.01$, 6 items at cost $2, 4 items at cost $3.

(6x - 4)(3 - 2x)/4x - 6

Answers

[tex] \frac{(6x - 4)(3 - 2x)}{(4x - 6)} = \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} [/tex]

[tex] \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} = \frac{(3x - 2)(3 - 2x)}{(2x - 3)} [/tex]

[tex] \frac{(3x - 2)(3 - 2x)}{(2x - 3)} = \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} [/tex]

[tex] \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} = - (3x - 2)[/tex]

[tex] - (3x - 2) = 2 - 3x[/tex]

The population mean is symbolized as ________________, whereas the sample mean is symbolized as __________________. Group of answer choices n; N N; n

Answers

The population mean is symbolized as μ. The sample mean is symbolized M.

What is a Population?

A population in statistics, is a the total number of people of a group that shares similar characteristics that are of interest to a researcher. Example of population a researcher can understudy include:

Sixth grade students taking mathApple watch usersPeople who patronize a shopping mall, etc.What is a Sample?

A sample is a subset of a population, which is drawn using any sampling technique. An example of a sample is 100 randomly selected persons who patronize a shopping mall.

What is the Population Mean?

The population mean can be defined as the average data value of a particular group characteristics that is measured by the researcher. The symbol for population mean is: μ.

What is the Sample Mean?

The sample mean can be defined as the average data value of the sub-group of an entire population that having characteristics that are of interest to a researcher. The symbol for sample mean is: M.

In summary, the population mean is symbolized as μ. The sample mean is symbolized M.

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Solution
We can start with the pythagorean theorem:
(leg 1)² + (leg 2)² = (hypotenuse)²
Substitute the values we know.
15² + x² = 32²
Solve for x.
X =

Answers

Answer:

28.26658805 (I included every digit in case your teacher needs you to round)

Step-by-step explanation:

In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.

Thus, we have:

[tex]15^2+x^2=32^2\\x^2=32^2-15^2\\\sqrt{x^2} =\sqrt{(32^2-15^2)} \\\sqrt{x^2}=\sqrt{799} \\x=28.26658805[/tex]

What are the center and radius of the circle given by x^2 + y^2 - 16x + 8y + 4 = 0?

Answers

The center of the circle = (8, -4)

The radius of the circle =  [tex]\sqrt{76}[/tex]

Finding the center and radius of a circle from the equation

The given equation of the circle is:

[tex]x^2+y^2-16x+8y+4=0[/tex]

The equation can be expressed and simplified as:

[tex]x^2-16x+y^2+8y=-4\\\\x^2-16y+8^2+y^2+8y+4^2=-4+8^2+4^2\\\\(x-8)^2+(y+4)^2=-4+64+16\\\\(x-8)^2+(y+4)^2=76[/tex]

The general equation of a circle is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Comparing the two equations:

The center, (a, b) = (8, -4)

The radius, r = [tex]\sqrt{76}[/tex]

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Someone please help me

Answers

Step-by-step explanation:

Part A: [tex]u^6[/tex] can be written as the square of u³, or [tex](u^3)^2[/tex]. Similarly, [tex]v^6=(v^3)^2[/tex]. Hence, we can write this as a difference of two squares by writing it as

[tex](u^3)^2-(v^3)^2[/tex]

Part B:

Difference of Two Squares

We can first factor a difference of two squares a² - b² into (a+b)(a-b). Here, a would be u³ and b would be v³.

[tex](u^3+v^3)(u^3-v^3)[/tex]

Sum and Difference of Two Cubes

We can factor this further by the use of two special formulas to factor a sum of two cubes and a difference of two cubes. These formulas are as follows:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

Since u³ + v³ is a sum of two cubes, let's rewrite it.

[tex]u^3+v^3=(u+v)(u^2-uv+v^2)[/tex]

Since u³ - v³ is a difference of two cubes, we can rewrite it as well.

[tex]u^3-v^3=(u-v)(u^2+uv+v^2)[/tex]

Now, let's multiply them together again to get the final factored form.

[tex]u^6-v^6=(u+v)(u^2-uv+v^2)(u-v)(u^2+uv+v^2)[/tex]

Part C:

If we want to factor [tex]x^6-1[/tex] completely, we can just see that x to the sixth power is just [tex]x^6[/tex] and 1 to the sixth power is just 1. Hence, x can substitute for u and 1 can substitute for v.

[tex]x^6-1=(x+1)(x^2-x(1)+1^2)(x-1)(x^2+x(1)+1^2)\\x^6-1=(x+1)(x^2-x+1)(x-1)(x^2+x+1)[/tex]

We can repeat this for [tex]x^6-64[/tex], as 64 is just 2 to the sixth power.

[tex]x^6-64=(x+2)(x^2-x(2)+2^2)(x-2)(x^2+x(2)+2^2)\\x^6-64=(x+2)(x^2-2x+4)(x-2)(x^2+2x+4)[/tex]

Please help me with this

Answers

Answer:A or C

Step-by-step explanation: i guessed plus 19 hours ago

What is the range of the function f(x) = |x – 3| + 4?

R: {f(x) ∈ ℝ | f(x) ≥ 4}

R: {f(x) ∈ ℝ | f(x) ≤ 4}

R: {f(x) ∈ ℝ | f(x) > 7}

R: {f(x) ∈ ℝ | f(x) < 7}

Answers

Answer: R: {f(x) ∈ ℝ | f(x) ≥ 4}

Step-by-step explanation:

[tex]|x-3| \geq 0[/tex] for all real x, so the range is [tex]f(x) \geq 4[/tex].

Meena’s father’s present age is six times Meena’s age. Five years from now she will be one-third of her father’s present age. What are their present ages?

Answers

Answer:

Meena age = 5 yrs Meenas father = 30

Step-by-step explanation:

let,

meena's age = x

meena's father's age = 6x

Five years from now

meena's age will be 1/3(6x)

meena's father's age will be 6x+5

A/Q

x+5+6x+5=2x+6x+5

=x+6x-2x-6x=5-5-5

= -x =-5

= x =5

meena's age = 5

meena's father's age = 6x

= 6×5

= 30

Solve the equation. Simplify your answer.
2 (3-x) = 16 (x+1)

Answers

(2 x 3) - (2x) = (16x) + (16 x 1)
6 - 2x = 16x + 16
6 - 16 = 16x + 2x (subtract 16 and add 2x on both sides)
-10 = 18x
x = -10/18 = -5/9

BRAINLIEST TO CORRECT ANSWER
There is a pair of parallel sides in the following shape.
what is the area

Answers

The area of the given figure is 38 square units

Area of a trapezoid

The area of the given trapezoid is expressed as:

A = 0.5(a+b)h

where

a and b are the sides

h is the height

Substitute

A = 0.5(9+10) * 4

A = 19 * 2

A = 38 square units

Hence the area of the given figure is 38 square units

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Find the midpoint of a and b when a has coordinates (2,3) and b has coordinates (8,9)

Answers

The midpoint of co-ordinate is (5, 6)

Add both "x" coordinates, and divide by 2.

Add both "y" coordinates, and divide by 2.

Given that;

Coordinates of A = (2,3)

Coordinates of B = (8,9)

Find:

Midpoint of co-ordinate

Computation:

Midpoint of co-ordinate = [(x1 + x2) / 2], [(y1 + y2) / 2]

Midpoint of co-ordinate = [(2 + 8) / 2], [(3 + 9) / 2]

Midpoint of co-ordinate = [10 / 2], [12 / 2]

Midpoint of co-ordinate = (5, 6)

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If the parabola of equation y=k−x2 is tangent to the line of the equation y=x then what is the value of k ?

Answers

The value of k is 1/4.

According to the statement

we have given

The equation of parabola is y=k−x2

And tangent to the line of equation is y = x

and we have to find the value of K.

So, let y=k−x2  -(1)

and let  y = x  -(2)

(2) is the tangent to the (1) then

therefore they cut at

y=k−x2  -(1)

y = x  -(2)

so, put (2) in the (1) then

x = k- (x)^2

(x)^2 + x = k

The above written equation has one real number then for this D =0

so, (x)^2 + x - k = 0

-1 -1*4*k = 0

-1 - 4k = 0

-4k = 1

The value of k is -1/4.

So, The value of k is 1/4.

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A couple purchased a home and signed a mortgage contract for $900,000 to be paid with half-yearly payments over a 25-year period. the interest rate applicable is j2 = 5.5% p.a. applicable for the rst ve years, with the condition that the interest rate will be increased by 12% every 5 years for the remaining term of the loan.

Answers

A mortgage payment is typically made up of four components: principal, interest, taxes, and insurance. The Principal portion is the amount that pays down your outstanding loan amount. Interest is the cost of borrowing money. The amount of interest you pay is determined by your interest rate and your loan balance.

The term “loan” can be used to describe any financial transaction where one party receives a lump sum and agrees to pay the money back. A mortgage is a type of loan that's used to finance a property. A mortgage is a type of loan, but not all loans are mortgages. Mortgages are “secured” loans.

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Find the mean for the given set of data.
-4, -3,-1,-1, 0, 1
-1 1/3
-1
-3/4

Answers

Find the mean for the given set of data.
-4, -3,-1,-1, 0, 1
-1 1/3
-1
-3/4

Answer is -1 1/3

Answer:Find the mean for the given set of data.

-4, -3,-1,-1, 0, 1

-1 1/3

-1

-3/4

Answer is -1 1/3

Step-by-step explanation:

Which search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line

Answers

The wide-area search method employs the use of markers such as knots at regular intervals along the search line.

Given the method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line.

In order to locate, relieve distress, and preserve the life of a person who has been reported missing or is believed to be lost, stranded, or is considered a high-risk missing person, wide area search and rescue refers to activities occurring within large geographic areas. It also refers to the removal of any survivors to a safe location.

Hence, the wide-area search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line

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A couple quick algebra 1 questions for 50 points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

The value of the constant of variation include 8, 3.2, and 1.25

How to find the constant?

From the information given, when x = -0.5, y = -4.0. The constant will be:

y = kx

-4 = -0.5k

k = -4.0/-0.5

k. = 8

When x = 2.5, y = 8

y = kx

8 = 2.5k

k = 8/2.5

k = 3.2

When x = 4, y = 5

y = kx

5 = 4k

k = 5/4

k = 1.25

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please help me solve this ​

Answers

Explanation:

The proof can be had by making use of the AAS congruence postulate (twice) and CPCTC.

We start by showing ΔPQY≅ΔPRX, then by showing ΔXQN≅ΔYRN. The proof is then a result of CPCTC.

Proof

1. PQ≅PR, ∠Q≅∠R . . . . given

2. ∠P≅∠P . . . . reflexive property of congruence

3. ΔPQY≅ΔPRX . . . . AAS congruence postulate

4. PX≅PY . . . . CPCTC

5. PX+XQ=PQ, PY+YR=PR . . . . segment sum theorem

6. PX+XQ = PY +YR . . . . substitution property

7. PX +XQ = PX +YR . . . . substitution property

8. XQ = YR . . . . subtraction property of equality

9. ∠XNQ≅∠YNR . . . . vertical angles are congruent

10. ΔXNQ≅ΔYNR . . . . AAS congruence postulate

11. XN ≅ YN . . . . CPCTC

__

Additional comment

You probably did steps 1-3 in part (a) of the problem.

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

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

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

Answers

Answer:

460 gallons392 cm

Step-by-step explanation:

The necessary units conversion can be accomplished by multiplying by appropriate conversion factors. Quantity can be found by multiplying rate by time.

1)

The number of gallons of water produced by melting 1.9 m³ of ice is ...

  [tex]1.9\text{ m$^3$ (ice)}\times\left(\dfrac{100\text{ cm}}{1\text{ m}}\right)^3\times\dfrac{0.92\text{ cm$^3$ (water)}}{1\text{ cm$^3$ (ice)}}\times\dfrac{1\text{ gal}}{3800\text{ cm$^3$}}\\\\=\dfrac{1.9\times10^6\times0.92}{3800}\text{ gal}=\boxed{460\text{ gal}}[/tex]

2)

Multiplying the melting rate by time and converting to height, we have ...

  [tex]\dfrac{179.4\text{ km$^3$}}{1\text{ yr}}\times\dfrac{364\text{ cm}}{1000\text{ km$^3$}}\times6\text{ yr}\approx\boxed{392\text{ cm}}[/tex]

__

Additional comment

The area of the world's oceans is about 361e6 km², so addition of 1000 km³ of water might be expected to increase the water level by (1000/361)e-6 ≈ 2.77e-6 km = 0.277 cm. Something seems a little off in this problem statement.

1) A school has an enrollment of 1500 students. The student population is expected to increase at a rate of 2.6% each year for the next 5 years.

a) A What is the growth factor as a decimal?




b) Estimate the number of students enrolled 10 years from now. Round to the nearest student.

Show your work!!

Answers

The growth factor as a decimal is 1.026 and the number of students enrolled 10 years from now is 1939

How to determine the growth factor?

The given parameters are

Initial value of enrollment, a = 1500

Rate, r = 2.6%

The growth factor is then calculated as:

Growth factor = 1 + Rate

This gives

Growth factor = 1 + 2.6%

Evaluate the sum

Growth factor = 1.026

Hence, the growth factor as a decimal is 1.026

The number of students enrolled 10 years from now

As a general rule, the number of students enrolled t years from now is

Students = Initial value * Growth factor^Number of years

This is represented as

Students = 1500(1.026)^t

10 years from now means t = 10

So, we have

Students = 1500(1.026)^10

Evaluate

Students = 1939

Hence, the number of students enrolled 10 years from now is 1939

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find the equation of the line y=mx+b form with the slope 3 that passes through the point (5,19)

Answers

The equation of the line that has a slope of 3 and that passes through the point (5,19) is y = 3x + 4

Equation of a straight line

From the question, we are to determine the equation of the line that has a slope of 3 and that passes through the point (5,19)

Using the point-slope form of an equation of a line

y - y₁ = m(x - x₁)

Where m is the slope

and (x₁, y₁) is a point on the line

From the given information

m = 3

x₁ = 5

y₁ = 19

Putting the parameters into the equation, we get

y - 19 = 3(x - 5)

y - 19 = 3x - 15

y = 3x -15 + 19

y = 3x +4

Hence, the equation of the line that has a slope of 3 and that passes through the point (5,19) is y = 3x + 4

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the height of a can of coke is in 11 cm and the radius is 6 cm calculate the total surface area of the can in cm^3 assuming that the
can is a closed cylinde​

Answers

Answer:

The total surface area of the the cylinder is 640.56cm², surface are is always give in cm² not in cm³ b/c cm³ indicates the volume of the cylinder not the surface area.

Step-by-step explanation:

Hello!

. SA=2πr(r+h) ,or 2πr²+h(2πr)

SA=2(3.14)(6cm)(6cm+11cm)SA=6.28(6cm)(17cm)SA=37.68cm(17cm)SA=640.56cm²

Answer:

204π cm^2

which is 640.88 cm^2 to the nearest hundredth.

Step-by-step explanation:

Surface area = 2 * area of the base + area of the curved side.

= 2*π *r^2  + 2*π*r*h

= 2π(6)^2 + 2π(6)(11)

= 72π + 132π

= 204π cm^2.

Other Questions
What sentence from the passage shows the author's bias?As early as 2000 B.C.E. the Chinese raised a species of fish called carp.United States aquaculture meets only five to seven percent of the domestic demand for seafood.Unfortunately, most Americans do not consume that amount of fish.Farmers feed the tiny fish and protect them from predators. consider a filter with butterworth digital lowpass transfer function h(z) obtained by applying the bilinear transform s = c z1 z 1 to a standard analog butterowrth lowpass filter of order n. 1960s America.Write a 50- to 150-word initial post of the following:Write a song or poem that fits the ideas and feelings of this time period. Include historical references, imagery, and/or ideas in your work that will help ground it in this period. Jimmy's Farm is issuing a 10-year, 6 percent semiannual bond. The bond currently sells for 93 percent of its face value. What is the (pre-tax) cost of debt as in APR? 15Select the correct answer.Spirula Trading Inc. sublets a part of its office building to Jade Inc. for a period of ten years. How should Jade Inc. disclose this information?A. as an off-balance-sheet itemas a short-term liability in the balance sheetas an intangible asset in the balance sheetOD. disclosed as an intangible asset in the balance sheetOE as a long-term liability in the balance sheetB.C.ResetNext Match each musician to the type of fusion with which they are most closely associated. Mainstream pop vocal/jazz Bossa nova Cubop Jump music Salsaa. Rosemary Clooney b. Louis Jordan c. Eddie Palmieri d. Mario Bauza e. Stan Getz Evaluate the distributional derivatives f'(x), F"(x), F"(x) for the following discontinuous functions. 1.) f(x) = (x3 + 2x2 - 1 x 1 the cognitive structure that helps us perceive, organize, interpret, and use information about ourselves is called our within _____ of having sex for the first time, half of teenage girls may acquire an sti. Write 5 paragraphs about ww1 like how it started and ended 100 points plus brainy use the data in appendix d in the textbook to calculate the chemical atomic mass of lithium, to two decimal places. a sperm cell has a tail 50 um long. a student draws it 75 mm long. what is the magnification Complete each phrase.If two events are mutually exclusive, then they independent.If two events are independent, then they mutually exclusive.ARE NOT FOR BOTH d. urine formation and flow trace the flow of filtrate and urine through the urinary system. write the structures in order, starting with the glomerulus. if you were a home health nurse for a patient newly discharged to home, what would be the best approach to help a client who has right-sided paresis secondary to a stroke? public static boolean isPrime(int num) { int i; for (i = 2; i calculate 1 dose of the following drug orders. 1. order: tolbutamide 250 mg p.o. b.i.d. supply: tolbutamide 0.5 g scored tablets if a person complains ofa wide variety of phsycial symptoms over a period of time in the abscence of a physical bias for the symptoms, the diagnosis would most likely be Part I. (Modification of Problem #3.1-9 from Hillier & Liebermans OR text, 10th edition) The Primo Insurance Company is introducing two new product lines: special risk insurance and mortgages. The expected profit is $5 per unit on special risk insurance and $2 per unit on mortgages. Management wishes to establish sales quotas for the new product lines to maximize total expected profit. The work requirements are as follows: Department Work-Hours per Unit Work-Hours Available Special Risk Mortgage Underwriting 3 2 2400 Administration 0 1 800 Claims 2 0 1200 The linear programming model for this problem is:Maximize Z = 5X1 + 2X2Subject to. 3X1 + 2X2 2400X2 8002X1 1200X1 0, X2 0(a) Draw the feasible region of the above LP (1 point).(b) Use the simplex algorithm to find the optimal solution of the above LP (Show the initial and each succeeding tableau) (1 point).(c) On the sketch of the feasible region in (a), indicate the initial basic solution and the basic solution at each succeeding iteration (1 point).(d) Describe the optimal solution briefly in "plain English" (1 point).(e) Use the graphical method to find the optimal solution of this problem (Be sure to plot an isovalue line) (1 point). If Johnson Bank has $200,000 in demand deposits& the reserve ratio is 10%, what is the amount of the excess reserves?