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You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

for more visit https://brainly.com/question/25552839

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Answer:

BC = 8.2 mm

Step-by-step explanation:

This is a right triangle with BC as the hypotenuse

(BC)^2 = 4.8^2 + 6.6^2

(BC)^2 = 23.04 + 43.56

(BC)^2 = 66.6

Take the square root of both sides

BC = 8.1608823052

Rounded

BC = 8.2 mm

Using the domain, it is found that x = -8 is excluded for the product.

The domain of a function is the set that contains all possible input values.

In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.

For the first fraction, they are:

[tex]3x^2 + 6x = 0[/tex]

[tex]3x(x + 2) = 0[/tex]

[tex]3x = 0 \rightarrow x = 0[/tex]

[tex]x + 2 = 0 \rightarrow x = -2[/tex]

Hence, x = -2(not an option) is excluded.

For the second fraction, the roots of the denominator are:

[tex]x^2 + 11x + 24 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:

[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]

[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]

[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]

x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.

A similar problem is given at https://brainly.com/question/13136492

Answer:

0, -3, -8

Step-by-step explanation:

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

−

2

−

3

−

1

0

0

1

1

0

2

−

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

4

x

y

−

2

3

−

1

0

0

−

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

−

2

5

−

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

Answer:

60cm

Step-by-step explanation:

200*3/10=20*3=60

Answer:

Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.

hope it helps!!!!!!!!!!!!!!!!!!!!!!

A = L*w

324 = L*w

324/w = L

P = 2*( L + w)

= 2 * ( 324/w + w)

= 648/w + 2w

= (648 + 2w^2)/w

If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8

Answer:

Class 2 has 210 house points.

Step-by-step explanation:

630/3 = 210

1 = 210 x 2 = 420

2 = 210

420 + 210 + 630

Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

Answer:

x = 56

y = 68

Step-by-step explanation:

Please mark as brain list

Answer:

K - 27

Step-by-step explanation:

You would have to subtract 27 from the number K, so it would be K - 27

Answer:

I would have 15.

Step-by-step explanation:

In 7 days, I would have 105.

In 1day, I would have 105/7

=15

Answer:

$11.25

Step-by-step explanation:

1.25 × 9 = 11.25

Answer:

$11.25

Step-by-step explanation:

Step-by-step explanation:

Statement | Reason

CB=AB         Given

DBC=DBA   Given

DB = DB      Reflexive Property

/_\ DBC

=~

/_\DBA        SAS

Sorry for the formatting the =~ means congruent.

Answer:

7/20 cranberry

Step-by-step explanation:

Answer:

7/20 is the answer

Step-by-step explanation:

math!!

Answer:

a

Step-by-step explanation:

Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60

Answer:

The answer is 11, I think, hope this helps!

Step-by-step explanation:

=================================================

Solve.

[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]

Therefore, the answer is 11.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Answer:

Step-by-step explanation:

m = 63°

n = 135°

p = 63°

r = 112.5°

s = 50°

t = 67.5°

Answer:

20258. The missing digit is a 5

Step-by-step explanation:

Ok, let's write the number in a more creative way.  That's [tex]21 000 - 700 = 20 300[/tex],  minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).

That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]

In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.

I agree with the other person. The answer is 5.

Here's how we can check to see if a number is divisible by 7.

If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.

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Let's use those steps to see if 20,258 is a multiple of 7

It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.

Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.

The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.

Notes:

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We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.

Repeat the steps until we get something more manageable

Let's do one more round

The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.

If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.

This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.

Answer:

[tex]b=27[/tex]

Step-by-step explanation:

[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]

Invisible Steps:

Add 7 on each side of the equation:

[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]

Multiple 3 on each side of the equation:

[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]

[tex]9[/tex] · [tex]3=27[/tex]

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5