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3 years ago

5. 41°F equals how many degrees Celsius?

Mathematics

2 answers:

Serga [27]3 years ago

7 0

<span>A. 9°C
B. 5°C
C. 56°C
D. - 5°C
The answer is B</span>

Dmitry [639]3 years ago

4 0

It would equal five degrees Celsius

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Rewrite the expression g+1/6d-3/4g+1/9g-g+1/4d in standard from by combining like terms I need this ASAP AND I NEED ALL STEPS TO

GarryVolchara [31]

Answer:

(5/12)d - (23/36)g

Step-by-step explanation:

First you can eliminate g and -g to get (1/6)d - (3/4)g + (1/9)g + (1/4)d. Then you need to get common denominators to add like terms together.

1/6 = 4/24 and 1/4 = 6/24. Add them together to get (10/24)d or (5/12)d.

-3/4 = -27/36 and 1/9 = 4/36. Add them together to get (-23/36)g.

So in standard form, (5/12)d - (23/36)g

5 0

3 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

3 years ago

Consider the following table. Is the relationship proportional? Explain your answer.

SpyIntel [72]

Answer:

Step-by-step explanation:

a proportional relationship must have a constant ratio to another quantity.

have a nice day and mark me brainliest! :)

8 0

4 years ago

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Write an equation in slope-intercept form for the line with slope and -intercept .

Mazyrski [523]

Answer:

y = $\frac{2}{5}$ x - 9

Step-by-step explanation:

6 0

3 years ago

Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. How many toothpicks does she need to add to complete

malfutka [58]

You would take 1818÷33=55.09

55.09 is how many toothpicks it took for each step made

Then you would take 55.09×55=3029.95

You can make sure this is correct by taking 55.09×33=1817.97 which would actually be 1818 because you had to round it up

5 0

3 years ago

Read 2 more answers