The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

Answer 1

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

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Related Questions

identify whether the given mathematical sentences below is true or false, then write your reason. If false , write the correct answer.​

Answers

Answer:

Step-by-step explanation:

order of operations : simplify completely (6-2X2)X3

Answers

Answer:

6 is the answer.

Step-by-step explanation:

Using PEMDAS, let's solve.

(6 - 2 x 2) x 3(6 - 4) x 32 x 36

Therefore, 6 is the answer.

Hoped this helped.

the difference of 16 and 2 divide by 7
make the equation ​

Answers

Answer:

(16-2)/7

Step-by-step explanation:

16-2=14

14/7=2

Equation: (16-2)/7

The difference of 16 and 2 divide by 7 gives result 2 and required equation is x = (16 - 2) / 7.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given numbers are 16, 2 and 7.

Let the difference of 16 and 2 divide by 7 gives result x,

The equation for the  difference of 16 and 2 which is 14, divide by 7.

x = (16 - 2) / 7

The equation x = (16 - 2) / 7 can be simplified as,

The difference between 16 and 2 = 16 - 2 = 14

x = 14 / 7 = 2.

The required equation is x = (16 - 2) / 7 and simplified answer is 2.

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if you help me with this i’ll mark you brainlest if you are the first to answer.

Answers

Answer:

m∠1 = 97

m∠2 = 83

m∠3 = 97

m∠4 = 83

Answer:

m∠1 = 97°

m∠2 = 83°

m∠3 = 97°

m∠4 = 83°

Step-by-step explanation:

180 - 97 = 83°

180 - 83 = 97°

Help help math math help help

Answers

Answer:

102 degrees below horizontal

Step-by-step explanation:

if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it

because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78

180-78 = 102

another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees

Answer:

102

Step-by-step explanation:

Identify an equation in point-slope form for the line parallel to y = -
2/3x+8 that passes through (4, -5).

A. y-4=(x+5)
B. y+5=2/3 (x-4)
C. y+5 = 3/2(x-4)
D. y-5=-2/3(x + 4)

Answers

It wouldn’t be any of those- because its in point-slope form ( y-y1=m(x-x1) ) the slope is -2/3, then the -5 (y) turns to +5 because there’s 2 negatives- since the x is positive it stays subtraction

The Correct equation would be y+5=-2/3(x-4)

Hope that helps :)

Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.

H0: μ≥46; Ha: μ<46
α=0.05 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Answers

To be honest I don’t know I just need points

Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.

Answers

Answer:

72 mph

Step-by-step explanation:

i did this on achievemath3000 and 72 was the answer

Answer all of them plzz​

Answers

Answer:

a) (2x+3) (x+4)

b) (5x-3) (x-1)

c) (-2x-3) (x-3)

d) 3(x-1) (3x-8)

e) -2(3x+5) (x-2)

f)  h(4x-3) (3x-4)

g) -(x-3) (x+7)

h) (3x-2) (x+3)

i)  2(2x+1) (x-2)

j) (3h+2) (h-7)

Step-by-step explanation:

your welcome :)

Answer:

a)

(x+4)(2x+3)

b)

(x-2)(5x-3)

c)

(-x+3)(2x-3)

d)

3(x-1)(3x-8)

e)

2(-x+2)(3x+5)

f)

h(3x-4)(4x-3)

g)

(x+7)(-x+3)

h)

(x+3)(3x-2)

i)

2(x-2)(2x+1)

j)

(h-7)(3h+2)

Hope this helps!

please help me on this, thank you​

Answers

45 - 4 =41 and x is 20.5 or 20 1/2

look at this digram a. what fraction is shaded b. what percentage is shaded

Plz answer ASAP
I need help

Answers

Answer:

a:6÷9

b:0.666% are the answers

Which equation represents this statement?

The product of 1/5 and a number is equal to 1/1 2.


1/5n=1/1 2

1/5÷n=1/1 2

1/5−n=1/1 2

1/5+n=1/1 2

Answers

Answer:

answer is B

Step-by-step explanation:

-2/7 × 9.75 what is answer

Answers

Answer:

-2.78

Step-by-step explanation:

You first divide and then multiply.

If there are 10,000 people on a space ship and 7.5 potatoes grow out of 1 potato plant. How many potato plants are we going to need per person?

Answers

This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.

Hope this helps!

Answer: 1333

Step-by-step explanation:

6(2x + 4) = 3(4x + 8)
Please answer this!

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

6(2x + 4) = 3(4x + 8)

Distribute the 6

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 3(4x+8)

Distribute the 3

3 * 4x = 12x and 3 * 4 = 24

12x + 24 = 12x + 24

On both sides of the equal sign we have 12x + 24.

When both sides are equal there are infinitely many solutions.

Assume that the demand curve D(p) given below is the market demand for widgets:

Q=D(p)=1204−11p, p > 0

Let the market supply of widgets be given by:

Q=S(p)=−3+6p, p > 0

where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.

What is the equilibrium price?
Please round your answer to the nearest hundredth.

What is the equilibrium quantity?
Please round your answer to the nearest integer.

What is the consumer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer

What is the producer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer.

What is the unmet demand at equilibrium?
Please round your answer to the nearest integer.

Answers

Answer:

Step-by-step explanation:

I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:

Demand:    y=1204−11x

Supply:       y = -3 + 6x

==

We want to know the equilibrium price and quantity.  The quantities purchased and sold would be equal to the quantities supplied:

  1204−11x = -3 + 6x

-17x = - 1207

 x = 71  The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium

A price of 71 would lead to a demand and supply of:

y = 1204−11x

y = 1204−11(71)

y = 423 Widgets

We can also plot this to find the point (71,423).  See the attachment.

At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium.  This is what I did, so please judge if it is correct.

The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0  (I imagine it may no longer be a straight line when the price goes into negative territory.  I'd be the first in line to accept a widget and $5 if they were priced at -$5).

At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.

It seems to me that this would also be the unmet demand:  Product that could have been sold, but wasn't, due to the price.  I'm unsure, however.

Don’t know the answer

Answers

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

2nd option is the correct answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

✌️❤️✌️

PLEASE HELPP MEE ASAPP!!

Answers

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets

General admission to the fair is $8.00, and rides cost $3.00 each.

Answers

What is the equation?

Answer:

$24.00

Step-by-step explanation:

8x3=24

Graph the solution to the following system of inequalities.
-7x + 5y < -10
5x + 4y > 8
Then give the coordinates of one point in the solution set.

Answers

Graph attached

Solution is (1.6,0)

Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car,
Capital Cars charges $45 for rental and gas and $0.35 per mile. For bow many miles is the rental cost at
both companies the same?

Answers

Answer:

Step-by-step explanation:

40 + 15 + 0.25m = 45 + 0.35m

       55 + 0.25m = 45 + 0.35m

                       10 = 0.10m

                        m = 100 miles

                     

The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How many tractors should be produced to incur minimum cost?

Answers

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

2 procedimientos por favor

Answers

Answer:

184.8

Step-by-step explanation:

385/25×12

385÷25=15.4

15.4×12=184.8

The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.

Answers

[tex]A=\pi ab\qquad \qquad \begin{array}{llll} a+b=20\\ b=20-a \end{array}\qquad \qquad \stackrel{\textit{substituting}}{A=\pi a(20-a)}\implies A=\pi (20a-a^2)[/tex]

The area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.

To write the area of the ellipse as a function of a using the given constraint a + b = 20, we first need to solve for b in terms of a and then substitute the expression for b into the formula for the area of the ellipse.

Given the equation for the ellipse:

x²/a² + y²/b² = 1

We have the constraint: a + b = 20

Now, let's solve for b in terms of a:

b = 20 - a

Now, we'll substitute this expression for b into the formula for the area of the ellipse:

Area (A) = πab

Area (A) = πa(20 - a)

Area (A) = 20πa - πa²

So, the area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.

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Find an equation for the line below

Answers

Answer:

  y = 1/2x +7/2

Step-by-step explanation:

The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...

  m = rise/run = 2/4 = 1/2

The value of the y-intercept can be found from

  b = y -mx . . . . . . where (x, y) is a point on the line

Using the point (-1, 3), we find the y-intercept to be ...

  b = 3 -(1/2)(-1) = 3 1/2 = 7/2

Then the slope-intercept equation is ...

  y = mx +b

  y = 1/2x +7/2

Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence. A (blank) chart shows open and close prices and highs and lows, but over a long time period it can also show pricing (blank) .

Answers

Based on the information given, it can be deduced that the chart that is being described is the OHLC chart.

It should be noted that an open-high-low-close chart(OHLC) chart simply means a type of chart that's used to illustrate the movements in the price of a financial instrument for a particular period of time.

The vertical line on the chart illustrates the price range over a unit of time. It's useful in assessing volatility as it shows the full price range of the period.

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Answer:

Candlestick & trends.

Step-by-step explanation: Got it correct on edmentum!

The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.

Answers

well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]

Which answer shows the correct solution for 6x + 19x - 4 = 5(5x + 4)?

No solution
Infinitely many
One solution

Answers

Answer:

No solution

Step-by-step explanation:

25x-4=5(5x+4)

Distributive Property= 25x-4=25x+20

Solve for x

-4=20

Not possible so no solution.

Answer:

A

Step-by-step explanation:

6x + 19x -4 = 5(5x+4)

6x + 19x -4 = 25x+20

6x + 19x- 25x = 20+4

Combine Like terms

0 = 20 +4

0 = 24

0 = 24 = No solution

Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

Answers

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex]

[tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex]

[tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]  

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Ordering decimals
Order these numbers from least to greatest.
1.509, 1.4062, 1.6, 1.56

Answers

Answer:

1.4062, 1.509, 1.56, 1.6

Step-by-step explanation:

1509/1000, 14062/10000, 16/10, 156/100

15090, 14062, 16000, 15600

1.4062, 1.509, 1.56, 1.6

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