Find the coordinate using the subtraction method
-2x+9y=-9
-3x+5y=12

Answers

Answer 1

The co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

How to co-ordinate using subtraction method?

The technique of subtracting one vector's coordinates from another vector's coordinates is known as vector subtraction.Addition is represented by travelling up the -axis and to the right on the -axis. Subtraction is represented by going left and down the -axis. Since we are travelling below, we can deduct from our coordinate point, and since we are heading rightward, we can add to it.

So, the given equations are

-2x+9y=-9  ⇒ (i)

-3x+5y=12  ⇒ (ii)

(i) * 5 ⇒ -10x + 45y = -45

(ii) * 9 ⇒ -27x + 45y = 108

⇒ 17x =  153

x = 9

Now, substitute x=9 in equation (i)

-2(9) + 9y = -9

-18 + 9y = -9

9y = -9 + 18

y = 9/9

y = 1

Hence, the co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

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Related Questions

Please help ASAPP!!!

Answers

Answer: asa

Step-by-step explanation: I just did this

The graph below shows the number of hours Dario
worked and the amount he earned.
Earnings (in dollars)
100
90
80
70
60
50
40
30
DARIO'S EARNINGS
(2, 24)
(5, 60)
(8, 96)
0 1 2 3 4 5 6 7 8 9 10
Time (in hours)
What was Dario's hourly wage?
A $10
B $12
$24
D $54

Answers

Answer: answer is b 12$.

Step-by-step explanation:

You are preparing to purchase some items online. You have a total of $320 to spend. You see several styles of shoes you like and each pair costs $16. You also like several pairs of jeans and each pair costs $32. You want to purchase more than 6 items. Let x represent the number of pairs of shoes you can buy, and y represent the number of pairs of jeans you can buy. In terms of this scenario, what does the point (9 , 1) mean?

, You are preparing to purchase some items online. You have a total of $320 to spend. You see several styles of shoes you like and each pair costs $16. You also like several pairs of jeans and each pair costs $32. You want to purchase more than 6 items. Let x represent the number of pairs of shoes you can buy, and y represent the number of pairs of jeans you can buy. In terms of this scenario, what does the point (9 , 1) mean?

The point (9 , 1) means you cannot buy 10 items total.

The point (9 , 1) means you can buy 9 pairs of jeans and 1 pair of shoes.

The point (9 , 1) means you can buy 9 pairs of shoes and 1 pair of jeans.

The point (9 , 1) means you cannot buy 9 pairs of shoes and 1 pair of jeans.

Answers

In terms of this scenario, the point (9 , 1) means B. The point (9 , 1) means you can buy 9 pairs of jeans and 1 pair of shoes.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, you have a total of $320 to spend. You see several styles of shoes you like and each pair costs $16. You also like several pairs of jeans and each pair costs $32. You want to purchase more than 6 items.

Let x represent the number of pairs of shoes you can buy, and y represent the number of pairs of jeans you can buy.

The point (9 , 1) means you can buy 9 pairs of jeans and 1 pair of shoes. This can be illustrated as:

9($32) + 1($16)

= $282 + $16

= $298

The correct option is B.

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Given: CA bisects angle BAD and AD congruent to AB
Prove: Triangle ABC is congruent to Triangle ADC

Answers

The theorem or principle that helps to solve the above is the properties of a parallelogram. On the basis of the same, we can state that the proof that Triangle ABC is congruent to Triangle ADC is the property that indicates that each diagonal of a parallelogram separates it into two congruent triangles. Hence, ΔABC ≅ Δ ADC.

What are the qualities of a parallelogram?

There are six crucial parallelogram qualities to understand:

Contrary sides are equivalent (AB = DC).Angels opposite each other are congruent (D = B).Consecutive angles are additive (A + D = 180°).If one angle is correct, all angles are correct.A parallelogram's diagonals cross one other.A parallelogram is divided into two congruent triangles by its diagonals.

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Without multiplying, order the following products from least to greatest.

1 1/6 x 310 8/8x310 4/7x310

Answers

One of the factors is present in all of the items mentioned. The order of the value of the other factor will match the order of the value of the product.

A multiplication comparison: What does that mean?When two amounts are compared, a multiplicative comparison determines which can be created when the other is multiplied by a specific number. Like Sam, who has twice as many balloons than Sid. Three balloons are in Sid's possession.Every single one of the previously named things contains one of the elements. Both the order of the other factor's value and the order of the product's value will be the same. A fraction that is equal to 1 multiplied by a number produces a number as the result. A positive whole number can be multiplied by a fraction greater than one, and the resulting number will always be larger than the initial whole number.

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Peter and John are running around the town around the town in opposite directions. Peter can go around the town in 2.5 hours, and John can do the same in 15 hours. Assuming they start at the same time and same place, how many times will they pass each other going in opposite directions in a 24-hour period?

Answers

Answer:

90

I am not too sure but this question is VERY BRAIN-INTENSIVE

Sorry, if i am wrong

can somebody please help

Answers

Answer:

(4,12) Quadrant l

(-5,2) Quadrant ll

(-9,-4) Quadrant lV

(3,-3) Quadrant lll

Step-by-step explanation:

hope this helps!

Richard and Teo have a combined age of 32. Richard is 8 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer: Richard =24 Teo = 8

Step-by-step explanation:

32-8 = 24

24-8 = 16

16/2= 8

What’s the value of z ?

Answers

Answer:

z = 7

Step-by-step explanation:

We know that, sum of the exterior angles of a quadrilateral is added up to 360°.

Accordingly,

115 + 7z + 12z + 16z = 360

Combine like terms.

115 + 35z = 360

Subtract 115 from both sides.

35z = 360 - 115

35z = 245

Divide both sides by 35.

z = 7

the b value is 0.4 per year. what percentage growth rate would the population show in the absence of constraints? (round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

Use f(x) = -4x + 1, g(x) = x2 - 8x + 21, and h(x) = 19 - 3x|
If h(x) = 39, find x.

Answers

By using the functions we have found the value of x and it is found out to be as x = -20/3.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given data:

f(x) = -4x + 1, g(x) = x2 - 8x + 21, and h(x) = 19 - 3x and h(x) = 39.

By using the h(x) function, we can write

               h(x) = 19 - 3x

                39 = 19 - 3x

                3x = 19 - 39

                3x = -20

                  x = -20/3

Hence, by using the functions we have found the value of x and it is found out to be as x = -20/3.

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Find the measure of ∠c given the information below.

A = 155
E= 69

The image is below giving brainliest for whoever answers correctly + explaining !

Answers

Answer:

c=65

Step-by-step explanation:

a=115

180-115=b

b=65

b=c

c=65

Please help
-2.5(-3+4.2n+8)​

Answers

-2.5(-3 + 4.2n + 8)
7.5 - 10.5n - 20

Answer:

-12.5 -10.5n

Step-by-step explanation:

Use distributive property to solve:

1. -2.5 x -3 = 7.5

2. -2.5 x 4.2n = -10.5n

3. -2.5 x 8 = -20

Simplify:

7.5-20= -12.5

-12.5 -10.5n

what is 5,821 g = ___ dag

Answers

Answer:

582.1

Step-by-step explanation:

I am so confused, can anyone help?

Answers

Answer: -9/50

Step-by-step explanation: It's asking you to give the answer of A (5/12) - B (3/5), how you do it is simple, you subtract 5/12 and 3/5 like so: 5/12 3/5 = -0.18 and -0.18 as a fraction is -9/50

So there is your answer :)

Identify the common difference: d=
Identify the zero term(starting amount) a=

Answers

The formula to find the common difference of an arithmetic sequence is: d = a(n) - a(n - 1), where a(n) is a term in the sequence, and a(n - 1) is its previous term in the sequence

What is arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. For instance, the number sequence 5, 7, 9, 11, 13, and 15 has a common difference of 2 in arithmetic.

Sequences can in fact begin at any number that we choose. A sequence with the general word an is commonly notated as ann=1 a n n = 1.

or d = (an + 1 - an) (an – an-1). AP reduces if the common difference is negative. For instance, the AP drops in these numbers: -4, -6, -8.

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Name the vertices of the following points when they have been translated 6 units to the right and 10 units up A(1,-1) B (2, -2) C(-2,2)

A. C’(8,8)
B. C’(-8,-8)
C. C’(4,12)
D. C’(-4,12)

Answers

The translated points are A'(7, 9), B'(8, 8), and C'(4, 12) when they have been translated 6 units to the right and 10 units up.

What is a coordinate plane ?

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given points are,

A(1, -1), B (2, -2) and C(-2, 2).

When the points are translated 6 units to the right and 10 units up implies that,

There will be increase of 6 units in x coordinate and increase of 10 units in y coordinate

The point coverts as

A'(7, 9), B'(8, 8), and C'(4, 12)

The translated points are A'(7, 9), B'(8, 8), and C'(4, 12).

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Denise earns $225 a week with a part time job at the local florist. She decides to put 30% of the amount into a saving account. How much money does Denise put in the savings account each week?

Answers

Denise puts $67.50 in the savings account every week.

What is a percentage?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) besides the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

To find out how much money Denise puts in the savings account each week, you need to multiply her weekly earnings by the percentage she puts into the savings account.

First, convert the percentage to a decimal by dividing by 100: 30% = 0.30

Then, multiply Denise's weekly earnings by this decimal to find the amount she puts into the savings account each week:

=$225 * 0.30

=67.50.

Hence, Denise puts $67.50 in the savings account each week.

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In each of the follwing, find:

a. (fg)(x)



b. (f-g)(x)

c. (f *g )(x)

d. (f/g) (x)

1. F(x) = 3x 4; g(x) = 2x - 1

2. F(x) = x-1/ x2, g(x) = 1/x

Answers

The solution to the following functions are 1) 6x5-3x4, 3x4+1, 6x5-3x4, 3x4 / (2x-1),  2)(x-1)/x3, (x-1)/x2 - 1/x,  (x-1)/x3, x-1

What are functions?

The relationship between two sets of numbers is described mathematically by a function. It is a mathematical equation that assigns a unique output value to each input value inside a specific domain. Functions are frequently expressed by a letter, such as  F(x) = 3x+ 4 or g(x), where the letter indicates the function and the input value is represented by the variable x.

Functions can be either linear or nonlinear, and they can have a single or numerous outputs for each value of the input. They are frequently employed to simulate real-world situations and generate predictions based on available information. Functions can be graphed on a coordinate plane to visualise their behavior, and they can be combined or transformed using various mathematical operations.

How to solve?

1)a. (fg)(x) = (3x4)(2x-1) = 6x5-3x4

b. (f-g)(x) = (3x4) - (2x-1) = 3x4+1

c. (f *g )(x) = (3x4) * (2x-1) = 6x5-3x4

d. (f/g) (x) = (3x4) / (2x-1) = 3x4 / (2x-1)

2)a. (fg)(x) = (x-1/x2) * (1/x) = (x-1)/x3

b. (f-g)(x) = (x-1/x2) - (1/x) = (x-1)/x2 - 1/x

c. (f *g )(x) = (x-1/x2) * (1/x) = (x-1)/x3

d. (f/g) (x) = (x-1/x2) / (1/x) = (x-1)/x2 / (1/x) = (x-1)/x2 * x = x-1

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The area of a rectangle is 2 square feet. The perimeter of the rectangle is 9 ft. Find the length, ll, and width, ww, of the rectangle. What is l^2 + w^2l 2 +w 2 ?.

Answers

The rectangle is 4 feet long and 0.5 feet wide. l²+w² equals 16.25 feet².

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is a phrase used to describe how much room a 2D form or surface occupies.

Here,

Let l be the length and w be the width.

area=2

lw=2

w=2/l

2(l+w)=9

2l+2w=9

2l+2*2/l=9

2l²+4=9l

2l²-9l+4=0

l=0.5,4

w=4,0.5

l=4 and w=0.5

l²+w²=4²+0.5²

=16.25 feet²

The length of rectangle is 4 feet and width is 0.5 feet. The value of l²+w² is 16.25 feet².

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3. Write an equation that represents the line that passes through the point (7,4) and has a slope of 4/9

Answers

Answer for equation is y = 4/9x + 8/9

Step by step

Using point slope formula, y - y1= m (x-x1)
Substitute x and y and slope (m)

y - 4 = 4/9 (x - 7)

y - 4 = 4/9x - 28/9

add 4 to both sides to isolate y

y -4 +4 = 4/9x - 3 1/9 + 4
Combine

y = 4/9x + 8/9

Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles a
The corresponding angles of two similar triangles are

Answers

The solutions are that Two comparable triangles have proportional corresponding sides. And Two comparable triangles matching angles

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

For a regular polygon of any number of sides, therefore the sum of its exterior angle is 360°.

Given statements that the corresponding sides might be altered, they must still be proportionate.

The triangles will be congruent also, if they are.

But the angles must always line up otherwise the triangle's overall shape will change and it won't look the same.

Two comparable triangles must have proportional corresponding sides.

Two comparable triangles must matching angles match up.

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Drag the cards to create a two-digit number that matches these rules.
Note: Not all cards will be used.

0
2 is one of the digits
10 is the nearest ten when rounding
1
Irse challenge
2 3

Answers

Answer:

  12

Step-by-step explanation:

You want a 2-digit number that rounds to 10 and has 2 as one of its digits.

Rounds to 10

The integers that round to 10 are in the rangle 5–14. The only one of these that has a digit of 2 is 12.

The 2-digit number is 12.

Determine the equation of the parabola that opens up, has vertex (-4,-8)(−4,−8), and a focal diameter of 1616.

Answers

The equation of parabola will be;

⇒ y = 4 ( x + 4)² - 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The vertex = (- 4, - 8)

And, The focal diameter = 16

Now,

Since, The vertex (h, k) = (- 4, - 8)

And, The focal diameter (4a) = 16

⇒ 4a = 16

⇒ a = 4

Hence, The equation of parabola with vertex (h, k) will be;

⇒ y = a (x - h)² + k

Substitute all the values, we get;

⇒ y = 4 (x - (-4))² + (-8)

⇒ y = 4 ( x + 4)² - 8

Thus, The equation of parabola will be;

⇒ y = 4 ( x + 4)² - 8

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Harper calculated the slopes of both AB and XY. "That can't be right," she
said to herself after she calculated the slopes. "I got the same answer for both
lines. I must have made a mistake." She ponders the problem, but cannot figure
out what to do. She explains "I used completely different points when I calculated
the slopes. How can the slopes be the same?" she asks.
What do you think? Give Harper some suggestions and advice. Be clear and
complete

Answers

The slopes of the segments can be the same as long as the change in y divided by the change in x of both segments is the same. This means that the two segments are parallel.

How to obtain the slope of a line?

The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.

Hence, given two points on a line, the slope is calculated by the division of the change in y divided by the change in x.

As long as the changes are the same, two different segments can have the same slope, which is the case when they are parallel, meaning that they meet only at infinity.

One possible example of two parallel segments is given as follows:

Endpoints: (0, 5) and (2,9).Endpoints: (-1,3) and (1,7).

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insert a monomial into each trinomial such that the results is a perfect square. 16y^2+ ...+81

Answers

The resulting perfect square using the given trinomial is found as (4y + 9)².

Explain the term perfect square?If a number's square root is indeed an integer—that is, if it is the product of an integer and itself—it is a perfect square and perhaps a square number.We need to ensure that our producing trinomials have the following form since we want to add an one term (monomial) here to given binomial (16y^2+__+81) so that the producing trinomial may be represented as the square of some other binomial:

a²-2ab+b² or a²+2ab+b²

since:

a²-2ab+b²  = (a-b)²

and

a²+2ab+b² = (a+b)²

A trinomial is written as the square of the a binomial in the equations above.

Knowing that the aforementioned equations are correct, we may use the binomial that has been provided and proceed backwards from there:

= (4y)² +__+ (9)² ....eq 1

a = 4y and b = 9.

Thus, 2ab = 2(4y)(9) = 72y

Put in eq 1;

=  (4y)² + 72y + (9)²

The resulting perfect square:

= (4y + 9)²

Thus, resulting perfect square using the given trinomial is found as (4y + 9)².

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Mr. Tazari bought 4 new plants for his garden. Each plant cost $7. The store
gave him a discount, so he only paid of the regular price for each plant.
Use the properties of multiplication to find the total cost for all the plants.

Answers

Answer:

21

Step-by-step explanation:

please help me solve this: solve for x​

Answers

Answer:

x = 100

Step-by-step explanation:

You have to use the equation 15x + 10 = 6x - 6 + 70. This equation finds out that x = 6. Then, you would multiply 6 by 15. This gets 90. Finally, add 10 to that.

a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?

Answers

If the expected value of d is not equal to d, then the property that d hat exhibit is option (E) d hat is biased

Here a certain statistic d cap is being used to estimate a population parameter d

The central limit theorem states that "the distribution of sample means approximates a normal distribution as the sample size gets larger."

According to the central limit theorem,

The expected value is μ = p

Then the standard error will be

s = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Here it is given that the expected value of d cap is not equal to d. So it is different from the expected value  μ = p.

Therefore, the d hat is biased

I have answered the question in general, as the given question is incomplete

The complete question is :

A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?

A. The sampling distribution of d hat is normal.

B. The sampling distribution of d hat is binomial.

C. The sampling distribution of d hat is uniform.

D. d hat is unbiased.

E. d hat is biased.

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A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t) = - 16t^2 + 116t + 96 models the balls height about the ground, h(t), in feet, t seconds after it was thrown.

a) What is the maximum height of the ball? __ feet

b) How many seconds does it take until the ball hits the ground? __ seconds

Answers

Answer:

the answer is 306.25 feet and b is 8 sec

Step-by-step explanation:

Explanation

The height of the ball as a function of the time is given by the following formula:

A. Maximum height of the ball

To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:

Solving the last equation for t, we get time t when the height is maximum:

So the maximum height is given by the value of h(t) when t = 2.5:

The maximum height is 196ft.

B. Time until the ball hits the ground

The ball will hit the ground when h(t) = 0. So we must find the value of t such that:

Solving this equation is equivalent to finding the roots of a second-order polynomial:

Where:

• a = -16,

,

• b = 80,

,

• c = 96.

The roots of this polynomial are given by the following formula:

s

Answer

A. The maximum height of the ball is 196 ft.

Other Questions
on average, the number of days it takes for a caterpillar to become a butterfly is 15 days with a standard deviation of 3.5 days.If there are 10000 caterpillars at a sanctuary, how many out of the 10000 would you expect to become a butterfly in 17.8 days or more? Help. I'll mark as brainlist. In Great Astronomers, Robert Stawell Ball documents the developments in astronomy from the ancient period to the nineteenth century. He begins with a chapter on the life and works of Ptolemy.Which sentence in this excerpt from Great Astronomers shows that Ptolemys theory was flawed, but that he was still the undisputed authority on astronomy for centuries?The career of the famous man whose name stands at the head of this chapter is one of the most remarkable in the history of human learning. There may have been other discoverers who have done more for science than ever Ptolemy accomplished, but there never has been any other discoverer whose authority on the subject of the movements of the heavenly bodies has held sway over the minds of men for so long a period as the fourteen centuries during which his opinions reigned supreme. The doctrines he laid down in his famous book, "The Almagest," prevailed throughout those ages. No substantial addition was made in all that time to the undoubted truths which this work contained. No important correction was made of the serious errors with which Ptolemy's theories were contaminated. The authority of Ptolemy as to all things in the heavens, and as to a good many things on the earth (for the same illustrious man was also a diligent geographer), was invariably final.Though every child may now know more of the actual truths of the celestial motions than ever Ptolemy knew, yet the fact that his work exercised such an astonishing effect on the human intellect for some sixty generations, shows that it must have been an extraordinary production. We must look into the career of this wonderful man to discover wherein lay the secret of that marvellous success which made him the unchallenged instructor of the human race for such a protracted period. A random sample of carbon contains two isotopes: C-12 and C-13 with masses of 12.00 amu (5.00 %) and 12.99 amu (95.00 %) respectively. Determine the average atomic mass of this carbon sample and explain if your sample was a good representation of earths natural isotope abundance of carbon How did the problem and challenge brought by the war change the value and attitude of Filipino? Segment AB has point A located at (8, 9). If the distance from A to B is 10 units, which of the following could be used to calculate the coordinates for point BO 10 (x+8)2+(y+9)O10-(x+9)+(y+8)O10-(x-8)2+(y-9)O10-(x-9)2+(y-8) f(x) = 2xx - 29xWhat is the greatest possible number of turning points? Which of the following forms of organization is a separate legal entity? a) Identify and discuss three (3) major risks fims are always averse when they enter intointernational markets especially developing economies.(b)Prices of goods quoted in the international marvets always have trade terms. Identify four (4)of these terms and briefly discuss/define giving their implications for the parties involved. discuss the aims of the cognitive-behavioral therapeutic approach and how reappraisal is used within this approach. what will happen if the demand curve if government regulations require that all house holds have atleast two carbon dioxides who of the following was the russian-born composer who wrote music in post-impressionist, primitivist, neo-classical, and twelve-tone styles?a. Bartokb. Schoenbergc. Prokofievd. Stravinsky in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens. if your isolated product has succinimide present, what key feature should be present in the ir spectrum of your product? f(x) = 3x - 2 and g(x) = 2xFind g(f(3)) Can someone help, please If I earn one dollar every second how many hours would it take for me to get to 230,000 dollars? helppppppppppppppppppppppppppppppp oil creek corporation what is the current ratio? (b)what is the net working capital? (c)what is the net income? Kennedy reasons that a moon landing must be achieved within a decade because other countries have made more progress in space exploration. Why is this valid reasoning? this reasoning is valid because had made progress in space exploration compared to the united states.