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3 years ago

HELP ASSAP WITH THIS QUESTION

Mathematics

2 answers:

stira [4]3 years ago

6 0

The answer is “48*” because
132 - 180 = 48
A triangle is 180 degrees

motikmotik3 years ago

4 0

The answer is 42 because the small blue box in the corner is 90 degrees so you minus that by 132 degrees and get 42 degrees

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water

Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - $\frac{Q(t)}{400}$

i.e. $\frac{dQ}{dt} =\frac{-Q(t)}{400}$

This is a variable separable equation

$\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}$

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = $70 e^{-\frac{t}{400}}$ and

A(0) = Q(0) = 70 lbs.

7 0

3 years ago

Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.

AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

$D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1$

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

$T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

Probability:

$p = \frac{D}{T} = \frac{1}{715} = 0.0014$

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0

3 years ago

Urgent help!!! <br><br> Write equation in slope intercept form.<br><br> 1.25 (25) = 31.25

Fantom [35]

The equation in slope intercept form is, $31.25 = 1.25 \times 25 +0$ . The given equation is obtained by comparing the standard equation of the straight line.