Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer 1

Answer:

P=H(8)

Step-by-step explanation:

P equals Pay.

H equals Hours.

Gorans pay is whatever his hours are times 8.

P=H(8)

I hope this helps!


Related Questions

Jana is training for a triathlon that includes a 112 mile bike. Today she rode her bike 15 miles in 45 minutes. What is the Jana rate in miles per hour?

Answers

Jana's rode her bike 12 miles in 45 minutes, so Jana's rate per hour is 16 miles/hour.

Given that, Jana is training for a triathlon that includes a 112 mile bike ride.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Today she rode her bike 12 miles in 45 minutes.

Here, 45 minutes =45/60 =3/4

Speed =Distance/Time

= 12 ÷ 3/4

= 12 × 4/3

= 16 miles/hour

Therefore, Jana's rode her bike 12 miles in 45 minutes, so Jana's rate per hour is 16 miles/hour.

8) On the given number line, the expression (MPUNQ) (PROQT)
simplifies to

Answers

A integer, a constant, or a mix of both, combined with specific operation symbols, make up an expression $3r+$37.5 is the equation.

Describe expression.

A number, a constant, or a mix of both, combined with specific operation symbols, make up an expression. An expression can only be an exponential function if it contains both an operators and a variable. Any unknown term can be used as a factor, together with the operator + and -. Examples of such terms include x, y, and z. Since 5 isn't an exponential function, it can be claimed that it.

Here,

given:

It is reasonable to assume that r = n rides. Since each ride costs $3 ($3xr), the total cost is $3.

In addition, we know that FIVE people, including Tory and every one of her friends, will be at the fair. The entrance fee is $7.50, therefore we can increase it by five to reach $37.5.

That is $3r plus $37.5.

Therefore, the equation is $37.5 + $3r, where r seems to be the total of rides taken by Tory and his friends.

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what is the length of (5,6) and (1,1) rounded to the nearest tenth?​

Answers

The length of given point is 1 units. The total length of the actual path followed by an object is called as distance.

What is the distance calculation formula?

Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometres per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t.

Here,

Given :

Distance Formula

=> [tex]\sqrt{(x_{2}- x_{1} )^{2} + (y_{2}- y_{1} )^{2} }[/tex]

=> [tex]\sqrt{6- 5 )^{2} + (0 )^{2} }[/tex]

=> 1

Therefore , The length of given point is 1 units. The total length of the actual path followed by an object is called as distance.

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A circle with center G is shown in the figure below.

Answers

On solving the provided question, we can say that if the length of GF IS 8 unit then  the length of HI(Diameter) = 16 unit.

What are diameter and radius?

The diameter of a circle cuts through the center whereas the radius extends from the center to the edges of the circle. The diameter of a circle effectively divides the shape in two.

A chord is a straight line that is drawn between two points on a circle when it is used in mathematics (or more generally, on any curve). A table of chords was the first trigonometric table ever discovered. Nowadays, the sine is employed in its place (sines and chords are connected), but chords might be more understandable to some people.

Radius is "GF"

diameter is "HI"

Cord is "EJ".

If the length of GF IS 8 unit

then the length of HI(Diameter) = 16 unit.

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Please help I’ll mark you brainly

Answers

We see that the y-intercept of the line is 4 while slope = -3/2.

What is slope and intercept?

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.

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

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Find the area if the figure please help

Answers

Answer:

[tex]A = 125 \textrm{ yd}^2[/tex]

Step-by-step explanation:

The area of a triangle can be solved for using the formula:

[tex]A_\triangle = \dfrac{1}{2}b h[/tex]

where [tex]b[/tex] is the length of the triangle's base and [tex]h[/tex] is the length of its height (altitude).

Both [tex]b[/tex] and [tex]h[/tex] are given to us for the shown triangle, so all we have to do is plug the given values into the triangle area formula above.

[tex]A = \dfrac{1}{2} \cdot 10 \cdot 25[/tex]

[tex]A = 5 \cdot 25[/tex]

[tex]A = 125 \textrm{ yd}^2[/tex]

Note that the height of the triangle is given on the outline of an auxiliary (dotted) right triangle. This is just to show that the height is in fact an altitude, meaning it is perpendicular to the base, not at the angle of the triangle's other sides.

I need help please:(

Answers

Answer: t/w

Step-by-step explanation: It's the reciprocal, so you have to flip both. 9/5 = w/t,   5/9 = t/w

Name
Solve&Share-
Yesterday, the cooking club made a pan
of lasagna. They left half of the lasagna for four members
of the photography club to share equally. What fraction
of the pan of lasagna did each photography club
member get? Solve this problem any way you choose.

Answers

Each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.

What are fractions?

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

Given that the club was provided with half pan of lasagna. So the initial amount of lasagna is [tex]\frac{1}{2}[/tex].

The [tex]\frac{1}{2}[/tex] lasagna is further shared within 4 members. Hence each member will get:

[tex]\frac{\frac{1}{2} }{4} = \frac{1}{8}[/tex] lasagnas.

Hence, each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.

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Please please help me! I need help

Answers

Answer:

7

Step-by-step explanation:

lets bring the numbers down here.

7,7,2,4,6,7,8,8,8,8,9,0,0,4,4

By arranging them from least to greatest.

0 ,0 ,2 ,4, 4, 4, 6, 7 ,7, 7 ,8 ,8 ,8 ,8 ,9

the median(middle number) is 7

There are 328 calories in four ounces of a certain ice cream. How many calories are there in one pound? \text{1 pound}=\text{16 ounces} 1 pound=16 ounces Before you try that problem, answer the question below. How many ounces will you need to find the number of calories for?

Answers

4 ounces ate 328 calories : 1312 calories.

What is unitary method?

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

According to our question-

The given 4 ounces ate 328 calories

and 1 pound = 16 ounces

16/4= 4

4 * 328 = 1312

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Celia sells calendars for a fundraiser. Each calendar costs $9. She sells 16 Calendars to her family members and 14 calendars to the people in her neighborhood. Her goal is to earn $300. Does Celia reach her goal? Show and Explain your answer.

Answers

No, Her goal was to earn $300 but she managed to earn only $270, selling calendars.

What is calendars?

Any system that divides time into discrete units, such as days, months, or years, and places those units in a specific order is known as a calendar. A calendar is useful for keeping track of historical events, religious holidays, and other observances, as well as for scientific and historical research.

The word is derived from calendae (or kalendae), the first day of the month in the Roman republican calendar, the day on which future market days, feasts, and other occasions were announced. Calendae is the Latin word for "interest register" or "account book," which is itself a derivation from calendae.

Given that:

Cost of each calendar = $9

Number of calendar sold to the family = 16

Number of calendar sold to the neighbourhood = 14

So, The total number of calendar sold by Celia = The number of calendar sold to the family + The number of calendar sold to the neighbourhood

Total number of calendar sold by Celia = 16 + 14 = 30

The cost of each calendar = $ 9

The cost of 30 calendar = $ 9 × 30 = $ 270

Therefore, she could not reach her goal as her goal was to earn $300 but she managed to earn only $270.

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rearrange the formula KE = 1/2mv^2 for m

Answers

Answer:

m = 2 K.E / v^2

Step-by-step explanation:

K.E = 1/2 mv^2

K.E × 2/1 = mv^2

2 K.E = mv^2

2 K.E × 1/ v^2 = m

∴ m = 2 K.E / v^2

Answer:

[tex]m=\frac{2KE}{v^{2}}[/tex].

Step-by-step explanation:

Just for general knowledge. This is a formula from physics, specifically, classical mechanics. It is used to calculate the kinetic energy of bodies, that what the varaible "KE" stands for.

Now, let's rearrange the formula!

1. Write the expression.

[tex]KE=\frac{1}{2} mv^{2}[/tex]

2. Multiply both sides of the equation by "2".

[tex]2KE=\frac{1}{2} mv^{2}*2\\ \\2KE=mv^{2}[/tex]

See that the 2 is used to cancel the 1/2 fraction.

3.Divide both sides of the equation by "v²" and switch sides.

[tex]\frac{2KE}{v^{2}} =\frac{mv^{2}}{v^{2} } \\ \\\frac{2KE}{v^{2}} =m\\ \\m=\frac{2KE}{v^{2}}[/tex]

4. Final answer.

[tex]m=\frac{2KE}{v^{2}}[/tex].

5. Want to verify your answer? Here's how to easily do it.

If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "m" by it's calculated value, [tex]\frac{2KE}{v^{2}}[/tex].

[tex]KE=\frac{1}{2} (\frac{2KE}{v^{2}})v^{2}[/tex]

Here, the 1/2 fraction is cancelled by the 2 inside the parenthesis. Also, the v² is cancelled out by the v² that's dividing inside the parenthesis, leaving us with this expression (check attached image to better understand this step):

[tex]KE=KE[/tex]

As you can tell, the same variable appears on both sides of the equal symbol, this means that the result is correct!

-------------------------------------------------------------------------------------------------------

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Use grouping symbols (parathesis) to make the following equation true:
32 + 2*3=33

Answers

I guess it would be 32+(2*3)=33

Write the following number in word form 8,409,120​

Answers

Answer:

eight million four hundred and nine thousand one hundred and twenty

Answer: Eight million four hundred and nine thousand one hundred and twenty

In an experiment with a bag of marbles, P(green) = three fourths. Interpret the likelihood of choosing a green marble.

Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.

Answers

The interpretation of the likelihood of choosing a green marble is; Likely

How to interpret experimental probability?

Theoretical probability is defined as the term that is used to describe what is expected to happen based on math theory. Meanwhile, experimental probability that is used to describe what actually happens when the actual situation is tried out as an experiment.

Now, we are told that the probability of selecting a green marble in a bag of marbles is 3/4. This expressed in percentage is 75%.

This experimental probability is more than half of the entire probability and as such we can say that it is very much likely to occur when we select a marble.

We conclude that the correct answer is Option A.

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Solve the polynomial equation by factoring.

18x³ - 15x² - 9x = 0

Answers

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

What do you add to 21/4 to make 6​

Answers

Answer:

[tex]x=\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]x+\frac{21}{4}=6\\4x+21=24\\4x=3\\x=\frac{3}{4}[/tex]

Complete the table.
1.
2.
3.
Deductible
Amount
$500
250
700
Number
of Co-
Payments
at $10
Each
20
35
26
Amount
of Co-
Payments
Amount
Subject
to Co-
Insurance
$20,000
25,500
84,000
Insured
Co-
Insurance
Rate
20%
30%
25%
Amount
of Co-
Insurance
Total Paid
by Insured

Answers

Deductible: This is the amount that the insured is responsible for paying before insurance coverage begins. The higher the deductible, the lower the monthly premium will be.

How to calculate insurance coverage?

Amount: This is the total amount that the insurance company will cover.

Number of Co-Payments: This is the number of times the insured will be responsible for paying a specific dollar amount (in this case, $10) for covered services.

Amount of Co-Payments: This is the total dollar amount that the insured will be responsible for paying in co-payments.

Amount Subject to Co-Insurance: This is the total dollar amount that the insured is responsible for paying after the deductible and co-payments have been met.

Insured Co-Insurance Rate: This is the percentage of the remaining amount that the insured is responsible for paying.

Amount of Co-Insurance: This is the dollar amount that the insured is responsible for paying according to their co-insurance rate.

Total Paid by Insured: This is the total dollar amount that the insured is responsible for paying, including the deductible, co-payments, and co-insurance.

For example, for the first row, the insured would be responsible for paying $500 for the deductible, $200 for co-payments (20 payments of $10 each), and $4,000 for co-insurance (20% of $20,000). The total paid by the insured would be $500 + $200 + $4,000 = $4,700

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I need help with this

Answers

Answer:

last

Step-by-step explanation:

last because isometry is a shape moving rotating or reflecting across but sides are same since square became bigger and rhombus thinner only triangle is left

last because the isometry shapes moves into a rotation

Solve the following system of equations graphically on the set of axes below.
y= x-6
y=−3x−2

Answers

Answer:

y = 3x - 6

y = -x+2

Step-by-step explanation:

A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?

0.75 inch

1.25 inches

2.25 inches

4.75 inches

Answers

The answer is C.2.25 inches.

The parent function is represented by f(x)

Answers

linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x) is x .

What is a parent function used for?

The simplest function in a family of functions that yet retains the definition (or form) of the entire family is known as a parent function in mathematics.

The most basic form of an equation in a family of functions is a parent function. There are several types of parent functions, including: linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x)=x f (x) = x.

y(x) = x is the linear parent function to keep in mind. This is the function's simplest, most fundamental version.

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Please help!!!!! i need this by 7!!!

a rectangular lawn measuring 8 m by 4 m is surrounded by a flower bed of uniform with. the combined of the lawn and the flower bed is 140 M what is the width of the flower bed

Answers

The width of the flower bed is 3m.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangular lawn = 8m x 4m

The flower bed dimensions are:

Length = (8m + x)

Width = x

The combined area of lawn and flower bed area = 140 m²

(8 + 2x) x (4 + 2x) = 140

32 + 16x + 8x + 4x² = 140

4x² + 24x + 32 - 140 = 0

4x² + 24x - 108 = 0

4 (x² + 6x - 27) = 0

x² + 6x - 27 = 0

x² + (9 - 3) - 27 = 0

x² + 9x - 3x - 27 = 0

x(x + 9) - 3(x + 9) = 0

(x + 9) (x - 3) = 0

x + 9 = 0

x = -9 (rejected)

x - 3 = 0

x = 3

Thus,

The width of the flower is 3m.

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A 150-yard pipe is cut to provide drainage for two fields. If the length of one piece (a) is three yards less than twice the length of the second piece (b), what are the lengths of the two pieces?

Answers

Answer:

a = 99

b = 51

Step-by-step explanation:

We can translate this problem into a linear equation. We know that:

2b - 3 = a

and

a + b = 150

We will start by minusing b from both sides in the second equation, giving us:

a = 150 - b

Then, we will substitute this into our second equation, giving us:

2b - 3 = 150 - b

We will add 3 and b to both sides, giving us:

3b = 153

Then we divide by 3:

b = 51

Now, we will substitute this into our second equation, giving us:

a + 51 = 150

Subtract 51 from both sides gives us:

a = 99

So, the a piece is 99 yards long, and the b piece is 51 yards long.

a = 99

b = 51

Hope this helped!

if the notch is your basic salary multiplied by twelve, calculate sello's notch.​(A)

Answers

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

what is variation ?

directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b if m is a  Variation Theory is a general theory of learning that is mostly utilized in the pedagogy and teaching of mathematics. By emphasizing what remains the same and what changes, it draws attention to a concept's key components and provides the chance to draw connections that are significant.

given

basic salary = 20000

sello notch = basic salary * 12

20000 * 12 = $ 240000

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

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Choose the expressions that are sums or differences of two cubes. 64 + a12b51 –t6 + u3v21 8h45 – k15 75 – n3p6 –27 – xz9

Answers

The expressions that are sums or differences of two cube:

A. 64 + a¹²b⁵¹

B. –t⁶ + u³v²¹

C. 8h⁴⁵ – k¹⁵

What is expression?

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.

Here,

The following phrases are sums or differences of two cubes:

A. 64 + a¹²b⁵¹

=4³+(a⁴b¹⁷)³

B. –t⁶ + u³v²¹

=(-t²)³+(uv⁷)³

C. 8h⁴⁵ – k¹⁵

=(2h¹⁵)³-(k⁵)³

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NO LINKS!!
Part 1

For this problem, refer to the sequences graphed below
a. Identify each sequence as arithmetic, geometric, or neither
b. If it is arithmetic or geometric, describe the sequence generator


n t(n)
0 16
1 13
2 10
3 7
4 4
5 1

Answers

Answer:

a) Arithmetic,b) t(n) = 16 - 3n.

-------------------------------

We observe that the sequence is decreasing with common difference of - 3.

16, 13, 10, 7, 4, 1

Therefore, this is an AP, with the first term of t(1) = 13 and common difference of d = -3.

Use the nth term formula for AP:

t(n) = t(1) + (n - 1)dt(n) = 13 + (n - 1)(- 3) = 13 - 3n + 3 = 16 - 3n

Answer:

a)  Arithmetic sequence

b)  t(n) = 16 - 3n

Step-by-step explanation:

An Arithmetic Sequence has a constant difference between each consecutive term.

A Geometric Sequence has a constant ratio (multiplier) between each consecutive term.

Part (a)

From inspection of the given table, t(n) decreases by 3 each time n increases by 1.  Therefore, the sequence is arithmetic with a common difference of -3.

Part (b)

[tex]\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Given:

a = 13d = -3aₙ = t(n)

Substitute the initial value (when n = 1) and the common difference into the formula to create an equation for the nth term:

[tex]\implies t(n)=13+(n-1)(-3)[/tex]

[tex]\implies t(n)=13-3n+3[/tex]

[tex]\implies t(n)=16-3n[/tex]

How do I solve 604 times 33

Answers

Answer: To solve 604 times 33, you can use the basic method of multiplication.

You can start by multiplying the ones digit of 604 (4) by the ones digit of 33 (3) to get 12.

Then, you can multiply the tens digit of 604 (0) by the ones digit of 33 (3) to get 0.

Finally, you can multiply the hundreds digit of 604 (6) by the ones digit of 33 (3) to get 18.

To get the final answer, you need to add these three intermediate values (0+12+18) and carry over if necessary:

604 * 33 = 20,012

You can also use long multiplication method, which is breaking down the multiplication problem into simpler problems.

Or use a calculator or computer.

Step-by-step explanation:

Answer: 12207032501220703250122070325012207032501220703250122070325012207032501220703250

Step-by-step explanation:

1220703250122070325012207032501220703250

What is the value of the expression below when x=7 and 2x^2 - 5x - 3

Answers

Answer:

60

Step-by-step explanation:

2(7)^2 -5(7) -3

2(49) -35 -3

98 -35 -3

63 -3

60

7 in
25 in
24 in
Cómo puedo encontrar el
Are del triángulo

Answers

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

Describe the triangle.

Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Here,

Given : 7 inch , 25 inch and 24 inch.

To find the area of the triangle :

vertices are 7inch , 25inch and 24inch

Since from given vertices we can see it is an right angle triangle:

thus,

=> Area = 1/2 * base * height

=> Area = 1/2 * 24 * 7

=> Area = 12*7

=> Area = 84 inch square

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

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You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , Your final draft should be written in complete sentences in Spanish and include the following requirements:In Paragraph One:Include saber or conocer to hook your audience.Include verbs in the present progressive tense to state your claim.Include two facts about the animal from the research.Include vocabulary words, phrases, and expressions learned in the course.In Paragraph Two:Include one regular or irregular verb in the future tense to show a way to protect the animal from becoming extinct.Include a persuasive phrase and one regular or irregular verb in the future tense to make a call to action, stating the action you want your reader to take.Include a concluding sentence that uses an impersonal expression and supports your claim.Include vocabulary words, phrases, and expressions learned in the course. You are given a set of N sticks, which are lying on top of each other in some configuration. Each stick is specified by its two endpoints; each endpoint is an ordered triple giving its x, y, and z coordinates; no stick is vertical. A stick may be picked up only if there is no stick on top of it. a. Explain how to write a routine that takes two sticks a and b and reports whether a is above, below, or unrelated to b. (This has nothing to do with graph theory.) b. Give an algorithm that determines whether it is possible to pick up all the sticks, and if so, provides a sequence of stick pickups that accomplishes this. perceived trustworthiness or expertise of a speaker is called?.... Find the maximum rate of change of f at the given point and the direction in which it occurs.f(x, y) = 3 sin(xy), (0, 5)direction of maximum rate of change (in unit vector) = < ,0> i got 0 as a correct answer heremaximum rate of change = _____ You have been asked to develop a pro forma statement of cash flow for Betts Distribution Center, an Internet-based order fulfiliment/distribution/office/warehouse property. In addition to recoverable operating expenses, the new tenant will be billed for pass throughs including insurance and property taxes, which will then be paid by the owner. The information given to you is listed below. Other Cash Outlays: Allowances for: Recurring CAPEX/ioprove Allowance $60,600 Required: a. Develop a pro forma statement for the Betts property for a base year showing net operating income (NO). Required: a. Develop a pro forma statement for the Betts property for a base year showing net operating income (NOI). a galvanic cell was constructed using a manganese electrode in a 1.0 m mnso4 solution and a cobalt electrode in a 1.0 m co(no3)2. what is the overall reaction in this cell? fill in the blank. characterized by a flat-shaped dose-response curve a rigid tank with volume 1 m^3 contains a mixture of helium and water vapor at 90 c and 150 kpa. the mole fraction of helium is 0.9. model this mixture as an ideal gas mixture. the gas constant for helium (on a mass basis) is 2077 j/kg-k and the gas constant for water (also on a mass basis) is 461.5 j/kg-k. what is the mole fraction of water vapor in the tank? a corporation may reacquire (purchase) its own stock for the following reasons except:______.a. To provide shares for resale to employeesb. To reissue as bonuses to employeesc. To support the market price of the stockd. All of these choices are correct. Now the same block is placed in water, still completely submerged. Water is more dense than oil. The tension in the string will ______.a) stay the same. b) decrease. c) increase. An airplane flies at 300 mph with a direction of 100 relative to the air. The plane experiences a wind that blows 40 mph with a direction of 60.Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points)Part B: Find the sum of the vectors. Show all necessary calculations. (2 points)Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations. (7 points) For the following exercise, find the indicated function given f (x) = 2x 2 + 1 and g(x) = 3x 5.a. f ( g(2)) b. f ( g(x)) c. g( f (x)) d. ( g g)(x) e. ( f f )(2)