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2 years ago

The temperature of a substance is -29.9 F. The temperature decreases by 8.7 and then again by 17.8"

Mathematics

1 answer:

earnstyle [38]2 years ago

6 0

Answer:

3.4

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.

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3 years ago

Which is a correct verbal expression for 9+n

Alex73 [517]

Hello answer is "n is more than 9" !

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2 years ago

How to draw a shape representing the cross-section of the cone shown such that the slice is perpendicular to the base through th

Alex17521 [72]

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3 years ago

The graph of y=x^2 -7x+ 12 is a parabola with x-intercepts at

vesna_86 [32]

Answer:

Step-by-step explanation:

$\text{x-intercept is for y = 0}.\\\\\text{We have the function:}\ y=x^2-7x+12.\\\\\text{Put y = 0 and calculate the value(s) of x.}\\\\x^2-7x+12=0\\\\x^2-3x-4x+12=0\\\\x(x-3)-4(x-3)=0\\\\(x-3)(x-4)=0\iff x-3=0\ \vee\ x-4=0\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\\\\x-4=0\qquad\text{add 4 to both sides}\\\boxed{x=4}$

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3 years ago

A 12- ounce bag of birdseed cost $3.12. A 16-ounce bag of birdseed cost $3.84. Which is the better deal. How much money do you s

OlgaM077 [116]

Answer:

16oz bag, $0.32 saved

Step-by-step explanation:

3.12/12 = 0.26

3.84/16 = 0.24

For the 12-ounce bag, it would be $0.26 per ounce. For the 16-ounce bag, it would only be $0.24 per ounce.

16*0.26=4.16

4.16 - 3.84 = 0.32

$0.38 saved

6 0

3 years ago