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3 years ago

Find the sum of 160,-125, and 40.

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

The answer is;

160 + (-125) + 40 = 75

75

Anna [14]3 years ago

5 0

The answer is 75. 160-125=35. 35+40=75

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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:

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

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

Hence, the amount of oil was decreasing at 69300 barrels, yearly

7 0

2 years ago

State the domain of the function y=3/x

mixer [17]

$Notice \ the \ equation \ contains \ x \ in \ the \ denominator.$

$Since \ any \ denominator \ must \ not \ equal \ zero,$

$our \ domain \ is \ restricted \ to \$ x≠0

8 0

3 years ago

A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations. Thi

Aleks04 [339]

Answer:

Observational study

Step-by-step explanation:

There are 3 types of statistical study:

1) Experimental: Under this, any experiment is done on a certain group of population.

2) Observational: Under this study, the events are observed regularly and the record is made.

3) Survey : Under this study, a survey is conducted with a a group of population and the record is made.

According to question, A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations, this is an example of observational study.

4 0

3 years ago

Asap solve problem please. Will give BRAINLIEST.

Vera_Pavlovna [14]

Answer:

5 ft, 6.5 ft, 7 ft

Step-by-step explanation:

area of trapezoid = (base1 + base2)h/2

Let the unknown base = x

area of trapezoid = (8.5 + x)(6)/2

area = 3x + 25.5

We want the area to be between 40 ft^2 and 48 ft^2.

40 < 3x + 25.5 < 48

14.5 < 3x < 22.5

4.8333 < x < 7.5

Answer: 5 ft, 6.5 ft, 7 ft

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3 years ago

I’ll give u brainliest!! what is the area of shape 1, 2 and 3

nevsk [136]

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

3 0

3 years ago

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