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Anna11 [10]
3 years ago
12

A landscaper mowed 2/15 mile of grass in 20 minutes. If he works at the same rate, what portion of a mile will he mow in one hou

r?
Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
So 2/15 of a mile in 20 min
20 min is 1/3 of an hour
so 2/15 x 3 = mowed lawn/hour
6/15 of a mile
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Ex 2.6
Anna007 [38]
y=3x^4 -4x^3 -12x^2 +1\\
y'=12x^3-12x^2-24x\\\\
12x^3-12x^2-24x=0\\
12x(x^2-x-2)=0\\
12x(x^2+x-2x-2)=0\\
12x(x(x+1)-2(x+1))=0\\
12x(x-2)(x+1)=0\\
x=0 \vee x=2 \vee x=-1\\\\
\forall{x\in(-\infty,-1)\cup(0,2)}\ y'
y(-1)=3\cdot(-1)^4-4\cdot(-1)^3-12\cdot(-1)^2+1=3+4-12+1=-4=\\
=y_{min}
5 0
3 years ago
Find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Svetach [21]

Answer:

sin(x - y) = 0.21

Step-by-step explanation:

we have the sin values which we need to get cos values

sin (A-B) = sin A cos B - sin B cos A

sin² A + cos² A = 1

sin x = 4/9

cos² x = 1 - sin² x = 1 - 16/81 = 65/81

cos² x = 65/81

cos x = √65/9

sin y = 1/4

cos² y = 1 - sin² y = 1 - 1/16 = 15/16

cos² y = 15/16

cos y = √15/4

sin(x − y) = sin x cos y - sin y cos x

sin(x - y) = 4/9 √15/4 - 1/4 √65/9

sin(x - y) = (4√15-√65)/36

sin(x - y) = 0.21

socratic Narad T

8 0
2 years ago
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solv
Vladimir79 [104]
Hey there,

Your question states: <span>A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.

So, I will do 94.75 minus 11.50 because he bought nice scrubs so that would be 83.25.

I will do 83.25 divided by 9 because that's the number that person bought, each scrub will end up to be 9.25.

Hope this helps.

~Jurgen</span>
6 0
3 years ago
Read 2 more answers
A rectangular aquarium 3 ft. x 2 ft. 1 ft. is 2/3 full of water. In cubic feet, how much water is in the tank
tatuchka [14]

To find the volume of a rectangular prism, we must multiply the length * width * height.


In this case,


Volume = 3 ft * 2 ft * 1 ft

= 6 ft^3


Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).


2/3 * 6 ft^3 = 4 ft^3


This means that there are 4 cubic feet of water in the tank.


Hope this helps!

6 0
3 years ago
I need to simplify this
Korvikt [17]
Hi there!

3 \sqrt{54} + 2 \sqrt{24} =
First we split up the square root into two parts.

3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} =
Now we calculate the value of the square roots which have an integer as a solution

3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} =
Multiplying the integers gives us our next step.

9 \sqrt{6} + 4 \sqrt{6} =
And finally we add up the roots.

13 \sqrt{6}
3 0
3 years ago
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