During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?

Answer:

Step-by-step explanation:

the anwer  is r=dog y=cat  20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats  

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Answer:

a₁₅ = 675

Step-by-step explanation:

Substitute n = 15 into the nth term formula

a₁₅ = 3(15)² = 3 × 225 = 675

Answer:

A

Step-by-step explanation:

6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)

4x+y=15 (2)

(1)-(2) <=> y=7

Answer:

A x = 2, y = 7

Step-by-step explanation:

6(2)+3(7)= 33

4(2)+(7)=15

Answer:

yea I agree that this is correct and it's 15 and it's 4x

3 cases /3= $11 /3

1 case x 2= 11/3 x2

2 case = 22/3 = (round to the hundreth) $7.33

Answer:

A) [tex]f(x)=5120(1.25)^x[/tex]

B) [tex]f(x)=4800(1.5)^x[/tex]

C) see below

Step-by-step explanation:

Part A

Hopefully this formatting looks ok:

| Weeks x | Views f(x) |

| ------------ | -------------- |

|      0        |     5120     |

|       1        |     6400    |

|      2        |     8000    |

|      3        |     10000   |

|      4        |     12500   |

|      5        |     15625   |

| ------------ | -------------- |

That's my attempt at a table.

We need an equation in the form of:

[tex]f(x)=a(b)^x[/tex]

where a is the starting value and b is the growth factor.

First, check the difference between each week:

[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]

Then, check the scale factor for each of the differences:

[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]

etc..

The difference grows by 1.25x each week. That is, a grow factor of 1.25.

Now that we have both the starting value and the grow factor, we can write the equation:

[tex]f(x)=5120(1.25)^x[/tex]

If you want to test it, for example, calculate for the 3rd week:

[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]

Part B

This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.

[tex]f(x)=4800(1.5)^x[/tex]

Part C

The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).

The difference between the total number of site visits and the video views after 5 weeks is 20,825.

[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]

The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x

From the information given, the difference in the views will be:

6400 - 5120 = 1280

8000 - 6400 = 1600

10000 - 8000 = 2000

The scale factor will be:

= 1600/1280 = 2000/1600

= 1.25

Therefore, the growth factor is 1.25.

The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.

Lastly, the difference between the total number of visits and the video views will be:

= 4800(1.5)^5 - 5120(1.25)^5

= 36450 - 15625

= 20825

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Answer:

1 : 200

Step-by-step explanation:

To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.

Step 1: Convert.

=> 5 millimeters : 1 meter

=> 5 millimeters : 1000 millimeters

Step 2: Simplify.

=> 5 millimeters : 1000 millimeters

=> 1 millimeter : 200 millimeters

Key Note: Answer in ratio form is always unitless.

=> 1 : 200

So therefore, 1 : 200 is our ratio. Hoped this helped.

The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The preimage of the vertex of a polygon is, (5, 2).

Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).

Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).

We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).

Therefore, The vertex of the polygon will be at (- 4, 8).

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Answer:

jjjjjjjjjjjjjjjjjjjjjjjj

Answer:

55 degrees

Step-by-step explanation:

if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55

Answer:

90 degrees on each angle.

Step-by-step explanation:

A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.

Answer:

See attachment

Step-by-step explanation:

λν = c  [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]

c = 3.0 x 108 m/s.

E = hν

h = Plank's constant = 6.626x10-34 J-s

I put the data in a spreadsheet and calculated the values as per the equations above.  The table showing the types of energy was not attached, so I left that column blank.  I assume it is looking for labels such as UV, Visible, IR, Radio, etc.

Answer:

0, 8, 16, 24, 32

Step-by-step explanation:

plug in the values given for x into the 8x+8 equation

Example:

8(-1)+8

8(0)+8

Answer:

(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)

Step-by-step explanation:

To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,

y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)

Answer:

Approximately 6.4

Step-by-step explanation:

We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c

:(5^2)+(4^2)=c^2

:25+16=c^2

:41=c^2

:sqrt(41)=6.4=c              (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!

Answer:

c = 6.4

Step-by-step explanation:

To find c, we need to use Pythagoras theorem which is:

[tex]a^2 + b^2 = c^2[/tex]

Plug known variables in:

[tex]5^2 + 4^2 = c^2\\25 + 16 = c^2\\\sqrt{25 + 16} = c\\\sqrt{41} = c \\c = 6.403\\c = 6.4[/tex]

Hope this helps!

Answer:

k

Step-by-step explanation:

3k-2k=1k

1k=k so this is the answer

Answer:

A

Step-by-step explanation:

if a = amount of adult tickets and c = amount of children's tickets

4 adult tickets plus 2 children's tickets equals $36.50

4a + 2c = 36.50

Also, 3 adult tickets and 5 children's tickets equals $38.75

3a + 5c = 38.75

Answer:

Should be -69 1/3

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

With 10 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 1010 = 10000000000

Equation 2:

10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Subtract equation (1) from equation (2)

10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264

We get

9999999999X=693333333264

Solve for X

X=6933333332649999999999

Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,

693333333264÷33333333339999999999÷3333333333=2083

Simplify the improper fraction,

=6913

In conclusion,

−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

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Answer: The tenth term is 76

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

Explanation:

We use this arithmetic sequence formula to get the nth term

[tex]a_n = a_1 + d(n-1)[/tex]

Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:

[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]

The tenth term is 76

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.

Answer: 8,964

Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.

0.8(160)^2 -256(160)+29444

=8,964

Answer:

y = 1/3

Step-by-step explanation:

[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]

2 1/5

Step-by-step explanation:

2(7)-9y=11

14-9y=11

Divide both sides by the difference of 14 and 9y

11/5y ; y=2 1/5

Answer:

Well here are the constraints given to us here

Lets make this number “x”

x > 10

x< 20

7x

X = 1, 2, 6, 7, 21, 42

So with all this we can come up with this

10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42

So lets cut this down a bit

It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions

It can be 7, 14, 21, 42

Now it has to be more then 10 but less then 20

So that gets rid of everything except 14

14 is your answer

Answer

7

Step-by-step explanation:

Use BODMAS

first solving 12×8

which is = 12×8=96

than add +5

so, 96+5= 101

Answer: 12x8=26+5= 31

Step-by-step explanation:

Answer:

920 pages

Step-by-step explanation:

Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.