Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

Answers

Answer 1

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

Answer 2

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

To solve more questions on system of equations , visit the link below-

https://brainly.com/question/16308797

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Related Questions

Find the range of the graphed function

Answers

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation:

Solve the linear equation. 7x +10 = 18x − 1

Answers

Answer:

x =1

Step-by-step explanation:

7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1

7x+10=18x-1

+1. +1

7x+11=18x

-7x. -7x

11=11x

Divide it all by 11

1=x

X=1

What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)

Answers

Answer:

3. All real numbers greater than or equal to -2

Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answers

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation [tex]x^2-4=5x[/tex]

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]

As 32 ≠ 30, 6 is not a solution to the given equation.

what are the coefficients in the polynomial 7x^2-4x+6?

Answers

Answer:

7 and -4

Step-by-step explanation:

Coefficients are the number before the variables.  Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable.  That makes 7 and -4 the coefficients.

Help please !!!!! thank you

Answers

Answer:

C

Step-by-step explanation:

To find the product you must multiply the two expressions:

[tex](x-3)*(x+7)[/tex]   Starting equation

[tex]x^{2} +7x-3x-21[/tex]   Use the FOIL method to multiply the two binomials

[tex]x^{2} +4x-21[/tex]  Combine like terms

Find the number missing from the following equivalent fractions 20/35=4/?

Answers

since the common number of the fraction 20/35 is 5 then divide both sides by 5 which would equal to 4/6 as the equivalent fraction

The missing number is 7.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

PLZ HELP meeeeeeeeeeeeeeeeeeeee

Answers

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.

Answers

Answer:

Distance between Jackson and Symphony stations is 2.2 miles.

Step-by-step explanation:

From the given map,

Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)

Every unit of the map represents the distance of 1 mile.

Distance between two points is measured by the formula,

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

Therefore, distance between the given stations will be,

d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]

  = [tex]\sqrt{1+4}[/tex]

  = [tex]\sqrt{5}[/tex]

  = 2.236

  ≈ 2.2 miles

Distance between Jackson and Symphony stations is 2.2 miles.

Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?

Answers

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Which of the following statements is true of the Alien and Sedition Acts?


They were designed to keep immigrants and the French in power.


They encouraged Americans to speak out against the government.


They were supported by Federalists and not by Democratic-Republicans.

Answers

Answer:

C (the last one)

Step-by-step explanation:

The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.

Hope this helps!!!!

Answer:

They were supported by Federalists and not by Democratic-Republicans.

Step-by-step explanation:

I took the edge 2021 test

BRAILIEST?

Write a polynomial function of least degree with zeros 1, -2, -3

Answers

Answer:

f(x) = (x - 1)(x + 2)(x + 3)

Step-by-step explanation:

The function would be f(x) = (x - 1)(x + 2)(x + 3).  This is of the third degree.

5 % of 401.16 m Give your answer rounded to 2 DP.

Answers

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

= 20 058

PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Answer:

hope this helps you

Answer: it’s 11n

Step-by-step explanation: so we all know this is the answer people :^

According to exponent rules, whne we multiply exponential expressions we___the exponents

Answers

Answer:

add

Step-by-step explanation:

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide

Answers

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?​

Answers

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:

Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]

=> [tex]z[/tex] = [tex]-1.645[/tex]

Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])

[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083

[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

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

with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.

The null hypothesis will be rejected if [tex]K < z[/tex]

Step 4: Calculate the value of K and compare with [tex]z[/tex]

[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]  

We have [tex]-2.46 < -1.645[/tex]

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As [tex]H_{1}[/tex] states)

Hope this helps!

:)

The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.

Answers

Answer:

a) 45.50p + 500

b) 45.50p + 500 = 3912.50

p = 70

Step-by-step explanation:

p = number of people

$45.50 for a meal for each person, so:

45.50p

The constant is $500, so let's add that to the expression:

45.50p + 500

Which expression is equivalent to (9x + 5y)²?
a) 9x² + 45xy + 5y²
b) 18x² + 45xy + 10y²
c) 45x² + 45xy + 45y²
d) 81x² + 90xy + 25y²
e) 0

Answers

D is the correct answer.

If you don’t understand how then plz don’t hesitate to ask me in the comments.

I need help please please

Answers

Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Simplify to create an equivalent expression
8k-5(-5k+3)

Answers

Answer:

33k - 15

Step-by-step explanation:

8k-5(-5k+3)

Distribute

8k +25k -15

Combine like terms

33k - 15

_______________________________

Solution,

8k-5(-5k+3)

= 8k+25k-15

=33k-15

hope it helps..

Good luck on your assignment

_____________________________

Find the slope of the line that passes through (5, 9) and (2, 2). will mark brain

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is 7/3

please see the attached picture for full solution

hope it helps..

Good luck on your assignment

Answer:

[tex]slope = \frac{7}{3} [/tex]

Step-by-step explanation:

[tex](5 \: \: , \: \: 9) = > (x1 \: \: \:, \: y1) \\ (2 \: \: , \: \: 2) = > (x2 \: \: \:, \: \: y2)[/tex]

[tex] slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{9 - 2}{5 - 2} \\ = \frac{7}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?

Answers

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total

Answers

Answer:

23 lapices

Step-by-step explanation:

Él tiene 3 cajas.

Cada caja contiene 3 botones.

Cada botón contiene 3 lápices.

La cantidad de lápices que tendrá en total es:

[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]

Tendrá 23 lápices

Find the
a
circle
circumference of
whose
area is 616 cm

Answers

Answer: 88 cm

Step-by-step explanation:

The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,

616=πr²

196=r²

r=14

Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.

C=2π(14)

C=28π

C=88 cm

Answer: 87.96 cm

Step-by-step explanation:

Radius = √a/π

=√616 / π = 14 cm

Circumference = 2πr

= 2 x π x 14

= 87.96 cm

I NEED ANSWERS FAST. 1.Using the following image, find
FE given GF=6 and GE=13, 2.Using the following image, find
RS given ST=5and RT=11

.

Answers

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

Please help me with my math question!!!!

Answers

Answer:

No.

Step-by-step explanation:

It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..

mark brianliest if my answer suit your question..

"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes

Answers

Step-by-step explanation:

A square prism is a cube. The equation that represents the volume of a cube is:

length*width*height

or, in your case, b*b*h

If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.

Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same?

Answers

Answer:

x=100

Step-by-step explanation:

50/x=10/20 and 10/50=20/x

50/x=10/20

Cross multiplication

50*20=x*10

1000=10x

x=1000/10

x=100

Check:

50/100=

Divide by 5

10/20

10/50=20/x

Cross multiplication

10*x=50*20

10x=1000

x=1000/10

x=100

They are the same because the fraction that has the unknown both have the same ratio

Answer:

The anser is d edge 2020 lol

Step-by-step explanation:

Is it possible to form a triangle with
side lengths 5, 3, and 5 units?


Answers

Answer:

Yes

Step-by-step explanation:

Isosceles triangle with base of 3 units and sides of 5 units

Answer:

yes

Step-by-step explanation:

use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle

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Explain briefly.A net charge Q from the dipoles will be uniformly distributed through the volume of the sphere.1. There will be no polarization inside the glass sphere since the net electric field there iszero. 2. Dipoles in the glass will polarize and orient themselves perpendicular to the radial electricfield due to the charge +Q.3. Dipoles in the glass will polarize and orient themselves radially, with their positive endspointing toward the center.c. Is the electric field at location Poutside the plastic shell larger, smaller, or the same as itwould be if the plastic weren't there? Explain briefly.1. Larger, because a net positive charge is created from the polarization of the shell.2. Larger, because the positive charges displaced during polarization are closer to P than thenegative charges. 3. Smaller, because the negative charges displaced during polarization are closer to Pthanthe positive charges.4. 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