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3 years ago

Can someone please answer this question please answer it correctly and please show work please help me I need it

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answer:

C. Syracuse

Step-by-step explanation:

To find the city that is 6° warmer than Buffalo, we will add 6° to the temperature of Buffalo (-2°)

-2°C + 6°C

Adding a positive number to a negative number is the same as simply subtracting, so the equation can be rewritten as:

6°C - 2°C = 4°C

Syracuse is 4°C

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Oil is leaking out of a ruptured tanker at the rate of r(t)=30e^(?0.09t) thousand liters per minute.

zmey [24]

Answer:

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

331.82 thousands of liters leak out during the first hour.

Step-by-step explanation:

The oil leakage rate, in thousand liters per minute, is:

$r(t) = 30e^{-0.09t}$

A. At what rate, in thousands of liters per minute, is the oil leaking out

At t = 0:

This is r(0)

$r(t) = 30e^{-0.09t}$

$r(0) = 30e^{-0.09*0} = 30$

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60:

This is r(60)

$r(t) = 30e^{-0.09t}$

$r(60) = 30e^{-0.09*60} = 0.1355$

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B. How many thousands of liters leak out during the first hour?

r(t) is in thousand liters per minute.

Each hour has 60 minutes.

So the answer to this question is the integral from 0 to 60 of r(t).

Integral of the exponential function

$\int {e^{at}} \, dt = \frac{e^{at}}{a}$

$\int\limits^{60}_0 {r(t)} \, dt$

$\int\limits^{60}_0 {30e^{-0.09t}} \, dt$

$-333.33e^{-0.09t}$ , from t = 0 to t = 60.

This is

$-333.33e^{-0.09*60} - (-333.33e^{-0.09*0}) = 331.82$

331.82 thousands of liters leak out during the first hour.

6 0

4 years ago

Please help ! no links please

vodka [1.7K]

All triangles must have angles that add up to the same amount of degrees, so if the two triangles share one exact point, it is assumed that those angles would be the same. Basically just use the fact that the sides are the same and marked by dashes, and the missing line can be proven with the use of the angles that are in between the point that both share.

5 0

3 years ago

Someone help mewith this please! I'm not sure how to do it? Can someone explain to me please

Fynjy0 [20]

Answer:

7 is the closest estimate for the side length cuz 7 (length) x 7 (width) = 49 squared.

Step-by-step explanation:

hope this helps

4 0

3 years ago

Prove that 3:8 is equivalent to 12:32 using diagrams to support your answer.

gtnhenbr [62]

3 12
- = -
8 32

12/32 divide by 4 on top and bottom = 3/8 (correct)

12/4 = 3
32/4 = 8

answer is 3/8

3 12
- = --
8 32

hope this helps

3 0

4 years ago

Convert 1.2 moles of NaCl (table salt) to grams.

olga_2 [115]

Answer:

70. g NaCl

Step-by-step explanation:

For every one mole of a substance, there is a molar mass that coincides with the values of the periodic table. NaCl has a molar mass of 58.44g (Na+Cl). You then take this molar mass and multiple it by the number of moles asked (1.2) to find the grams present.

58.44g * 1.2mol = 70.128g

Then you would round to 2 sig figs to get 70. g of NaCl

3 0

3 years ago