Solve and reduce to lowest terms:
6 / 11 x 1 / 3

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

Answer: 1/3 quart

Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.

equation:3.25x+1.2=40.2

ansrew:x=12

Answer:

2069 grams

Step-by-step explanation:

Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:

Vout = (4/3)pi(3^3) = 36pi in^3

Now calculate the volume of a solid sphere of radius 2 in:

Vin = (4/3)pi(2^3) = (32/3)pi in^3

To calculate the volume of the hollow sphere, subtract Vin from Vout:

Vnet = Vout - Vin = (76/3)pi

Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is

m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi

= 258.7 g

Since there are 8 spheres in a box, the total weight of the box is

M = 8m = 2069 grams

Answer:

=2m²-4m/2(m-2)

=2m(m-2)/2(m-2)

=m is the correct answer

Answer:

A, B, and E

Step-by-step explanation:

Those are correct.

Answer:

4

Step-by-step explanation:

3+3 is not 9, but 3x3 is.

So 2+2 is 4

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hope it helps

Answer:

4 or 6 so sorry if im wrong

Answer:

X = 1/2

Step-by-step explanation:

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

Answer:

35

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

20-8=12

12÷20=0.6

0.6×100=60%

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4

Answer:

82.7

Step-by-step explanation:

Answer: the answer is that the mean would become smaller.

Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.

Hope this helps! Please give brainliest ;)

Answer:

a,  yes

b no

c yes

d no

Step-by-step explanation:

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Answer:

y = 4x - 17

Step-by-step explanation:

1.  (y - y1)=m(x - x1)      point-slope formula:  slope = 4

2.  (y - 3) = 4 (x - 5)     substitute x and y values:  (5, 3)

3.  y - 3 = 4x - 20        simplify

4.  y = 4x - 20 + 3       rearrange

5.  y = 4x -17               solve

Answer:

4

Step-by-step explanation:

Ben has 21 votes and Scott has 17

21 - 17 = 4

Answer: y= -3x

Step-by-step explanation:

Use the slope-intercept form to find the slope.

m = −3

To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(0,0)

m = −3

Using the point-slope form

y − y1 = m (x − x1), plug in

m = −3, x1 = 0, and y1 = 0.

y − (0) = (−3) (x−(0))

Solve for y

y = −3x

Answer:

y=3x+3

Step-by-step explanation:

(2,9)

x=2

y=9

-Slot these numbers into the equation y=mx+c

-Solve for c

y=3x+c

9=3(2)+c (We have substituted y for 9 and x for 2)

-Solve

9=6+c

(rearrange)

c+6=9

c=9-6

c=3

We have found our y-intercept (c)

Add this value into the original equation (replace the other y-intercept with your new value)

y=3x+3

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

33^2 + 56^2=c^2

4225 = c^2

square root both

65 = c

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

just trust me

Answer:

option b 5.6 is the correct answer