Find the cost of purchasing 30 roses. Show how you know.

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Answer:

5/8 < 7/12

Step-by-step explanation:

To find which is greater we can turn them into a decimal..

5/8 ⇒ 0.625

7/12 ⇒ 0.583

Then, we compare the two decimal numbers to get the answer.

0.625 is greater than 0.583.

Therefore, 5/8 is greater than 7/12 .

CloudBreeze]

Answer:

5/8 > 7/12

Step-by-step explanation:

I gave the two fractions a common denominator so it could be judged easily.

As you can see here, 5/8 is slighty higher than 7/12

5/8*3/3= 15/24

7/12*2/2=14/24

The given height of the cylinder of 1.5 m, and radius of 1 m, and the rate

of dripping of 110 cm³/s gives the following values.

1) The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s

2) The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s

3) The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m/s

The given parameters are;

Height of the tank, h = 1.5 m

Radius of the tank, r = 1 m

Rate at which the oil is dripping from the tank = 110 cm³/s = 0.00011 m³/s

[tex]1) \hspace{0.15 cm}V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]

From the shape of the tank, we have;

[tex]\dfrac{h}{r} = \dfrac{1.5}{1}[/tex]

Which gives;

h = 1.5·r

[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)}[/tex]

[tex]\dfrac{d}{dr} V =\dfrac{d}{dr} \left( \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)\right) = \dfrac{3}{2} \cdot \pi \cdot r^2[/tex]

[tex]\dfrac{dV}{dt} = \dfrac{dV}{dr} \times \dfrac{dr}{dt}[/tex]

[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dr} }}[/tex]

[tex]\dfrac{dV}{dt} = 0.00011[/tex]

Which gives;

[tex]\dfrac{dr}{dt} = \mathbf{ \dfrac{0.00011 }{\dfrac{3}{2} \cdot \pi \cdot r^2}}[/tex]

When r = 0.5 m, we have;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.5^2} \approx 9.34 \times 10^{-5}[/tex]

The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s

2) When the height is 20 cm, we have;

h = 1.5·r

[tex]r = \dfrac{h}{1.5}[/tex]

[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot \left(\dfrac{h}{1.5} \right) ^2 \cdot h}[/tex]

r = 20 cm ÷ 1.5 = [tex]13.\overline3[/tex] cm = [tex]0.1\overline3[/tex] m

Which gives;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.1 \overline{3}^2} \approx \mathbf{1.313 \times 10^{-3}}[/tex]

[tex]\dfrac{d}{dh} V = \dfrac{d}{dh} \left(\dfrac{4}{27} \cdot \pi \cdot h^3 \right) = \dfrac{4 \cdot \pi \cdot h^2}{9}[/tex]

[tex]\dfrac{dV}{dt} = \dfrac{dV}{dh} \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dh} }[/tex]

[tex]\dfrac{dh}{dt} = \mathbf{\dfrac{0.00011}{\dfrac{4 \cdot \pi \cdot h^2}{9}}}[/tex]

When the height is 20 cm = 0.2 m, we have;

[tex]\dfrac{dh}{dt} = \dfrac{0.00011}{\dfrac{4 \times \pi \times 0.2^2}{9}} \approx \mathbf{1.97 \times 10^{-3}}[/tex]

The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s

3) The volume of the slick, V = π·r²·h

Where;

h = The height of the slick = 0.1 cm = 0.001 m

Therefore;

V = 0.001·π·r²

[tex]\dfrac{dV}{dr} = \mathbf{ 0.002 \cdot \pi \cdot r}[/tex]

[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{0.00011 }{0.002 \cdot \pi \cdot r}}[/tex]

When the radius is 10 cm = 0.1 m, we have;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{0.002 \times \pi \times 0.1} \approx \mathbf{0.175}[/tex]

The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m

Learn more about the rules of differentiation here:

https://brainly.com/question/20433457

https://brainly.com/question/13502804

Answer:

30$ I think but I can wrong also

Answer:

1) [tex]Six[/tex]

Step-by-step explanation:

1)     [tex]30\ seconds\div5\ seconds=6\ seconds[/tex]          [tex]\left\{every\ 5\ seconds\ one\ time\right\}[/tex]

I am going to work on the other several tonight/tomorrow and will post when I get them done.

Answer:

Step-by-step explanation:

3) Final step of problem 1: -5x + 6

-5x + 6 = -5*(-2) + 6

           = 10 + 6 = 16

4) x + -4 + -2(3x -5 ) = 8 + -4 + -2(3*8 -5)

                                = 4+ -2(24 -5)

                                = 4 + -2*19

                                 = 4 - 38

                                  = -34

Answer:

62°=y

62°=x......

......

......

Answer:

Step-by-step explanation:

HC/DH=DG/GH is false

Answer:

yes pick .98 l

Step-by-step explanation: .

Answer:

D

Step-by-step explanation:

10x² - 25x + 15 = 0

Divide by 5 both sides,

2x² - 5x + 3 = 0

(x - 1) (2x - 3) = 0

Factors: x - 1 and 2x - 3

Answer: D

Answer:

surface area of rectangular prism :

2 ( length * width + length * height + width * height )

2 ( 15 * 10 + 15 * 3 + 10 * 3 )

2 ( 225 )

450 in²

volume of triangular prism :

( base * height * length ) ÷ 2

( 7 * 4 * 8.5 ) ÷ 2

119 ft³

Answer:

[tex]\huge\boxed{\sf 4x + 6}[/tex]

Step-by-step explanation:

Adding x - 2 and 3x + 8

= x - 2 + 3x + 8

Combine like terms

= x + 3x - 2 + 8

= 4x + 6

[tex]\rule[225]{225}{2}[/tex]

Answer: The sum of x-z and 3x+8 is equal to 6x^2-6x-6 .

Answer:

6

Step-by-step explanation:    i just looked it up

Answer:

6gallons

Step-by-step explanation:

there are 48 pints in 6 gallons

Please give brainliest!!!! Thank you

Answer:

c

Step-by-step explanation:

Answer:

hope this help uhh.. Have a good day.

[tex]54 \pi \text{ cm}^3[/tex]

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

Work Shown:

[tex]V = \pi*r^2*h\\\\V = \pi*3^2*6\\\\V = \pi*9*6\\\\V = \pi*54\\\\V = 54\pi\\\\[/tex]

This is the exact volume in terms of pi.

To find an approximation, replace pi with something like 3.14 and simplify.

The units for the volume are in cubic centimeters, which can be abbreviated to "cubic cm" or to [tex]\text{cm}^3[/tex]

Answer:

13/4

aka

[tex]\frac{13}{4}[/tex]

so hope it helps

Answer:

1.085 metres

Step-by-step explanation:

1 cm = 0.01 m

8.5 cm = 0.085 m

1m+0.085m=1.085 metres

Answer:

1.085 metres

Step-by-step explanation:

100 centimetres = 1m

what about 8.5 cm?

Divide the centimetres by 100

8.5/100 = 0.085m

Then add the metre(s) you already have which is 1

thus 0.085 + 1

1.085m

Answer:

x + 5 [tex]\leq[/tex] -9

Step-by-step explanation:

difference means subtraction, so -(-5). The two negatives cancel out so it's +5. "no more than" means less than or equal to, in this case, -9. put these steps/numbers all together and you get x + 5 [tex]\leq[/tex] -9

Answer:

d) A ball is thrown directly upward from an initial height of 7 feet, will reach a maximum height of 19.3 ft in 0.9 s, and finally will hit the ground in 2 s.

Step-by-step explanation:

The y-intercept of the curve is at (0, 7) so when t = 0, the ball is 7 ft above the ground.  Therefore, the ball is thrown from an initial height of 7 feet.

The maximum point of the curve is (0.9, 19.3) which means the maximum height is 19.3 feet is reached after 0.9 seconds.

Finally, the curve intercepts the x-axis at t = 2, which means at 2 s the ball's height is zero, i.e. it hits the ground at 2 s.

Answer:

what you are looking? if you need a answer I think it is 24t^7 but tell me what are you looking

Answer:

47

Step-by-step explanation:

the answer will be 47 because 47 +2=47 so and there you have it that's the answer

Answer:

123 save some for me

Step-by-step explanation:

that what you get :)

Answer:

-17

Step-by-step explanation:

I think hopes help

Answer:

201

Step-by-step explanation:

Step-by-step explanation:

the equation is

3x + 5y = 18

the blue dot is the interception of the line with the y-axis. that is the y value, when x = 0.

the equation for x = 0 is

3×0 + 5y = 18

5y = 18

y = 18/5 = 3 3/5 = 3.6

the red dot is the interception of the line with the x-axis. that is the x value, when y = 0.

the equation for y = 0 is

3x + 5×0 = 18

3x = 18

x = 18/3 = 6

so, you need to move the blue dot to 3.6 and the red dot to 6.

Answer:

what is the length we are talking about i need a little more info

Step-by-step explanation:

Answer:

[tex]\displaystyle y = 9[/tex]

Explanation:

Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.

I am joyous to assist you at any time.

Answer:

200ft²

Step-by-step explanation:

1x2=2

10x20=200

So hence, you need 200ft² of flooring for a rom that is 10 feet wide and 20 feet long.

Thanks!

Answer:

Parrelelogram

Step-by-step explanation:

Conggruent means sam angle but diiferent length and a parrelelogram has s standardized size deviation where the symmetry monsizes the ooppiosite size