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Andrew [12]
3 years ago
11

5. How does the length of the long leg compare to the length of the short leg?

Mathematics
1 answer:
Oliga [24]3 years ago
4 0

Answer:

measure it bro lol

Step-by-step explanation:

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
What is the equation of the line that passes through the point (-4,4) and has a<br> slope of -3
Arte-miy333 [17]

Answer: y-4=-3(x+4) or y=-3x-8

Step-by-step explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4))            [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4)              [distribute]

y-4=-3x-12                [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

3 0
3 years ago
when a pair of shoes is sold at 12.5% discount, the selling price is 78.75. Find the original price of the pair of shoes and the
faltersainse [42]
The original price was 90$ so you saved 11.25$
3 0
3 years ago
Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
guajiro [1.7K]

Answer:

Step-by-step explanation:

7 divided by $4.00 = $1.75/per tulip

5 divided by $3.00 = $1.67/per tulip

Five tulips for 3.00 dollars

5 0
3 years ago
Read 2 more answers
A construction crew is lengthening a road. The road started with a length of
raketka [301]
L = 4d + 54

after crew worked 33 days...d = 33
L = 4(33) + 54
L = 132 + 54
L = 186...so after 33 days, the crew made a road that measures 186 miles
4 0
3 years ago
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