I need help ASAP. Worth 20 points
Look at picture plz

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

[tex]Initial =1\ million[/tex]

[tex]6\ years\ later = 500,000[/tex]

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:

[tex]\frac{dA}{dt} = kA[/tex]

Where k represents the constant of proportionality

[tex]\frac{dA}{dt} = kA[/tex]

Multiply both sides by dt/A

[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]

[tex]\frac{dA}{A} = k\ dt[/tex]

Integrate both sides

[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]

[tex]ln\ A = kt + lnC[/tex]

Make A, the subject

[tex]A = Ce^{kt}[/tex]

[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial

So, we have:

[tex]A = Ce^{kt}[/tex]

[tex]1000000 = Ce^{k*0}[/tex]

[tex]1000000 = Ce^{0}[/tex]

[tex]1000000 = C*1[/tex]

[tex]1000000 = C[/tex]

[tex]C =1000000[/tex]

Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]

[tex]A = 1000000e^{kt}[/tex]

To solve for k;

[tex]6\ years\ later = 500,000[/tex]

i.e.

[tex]t = 6\ A = 500000[/tex]

So:

[tex]500000= 1000000e^{k*6}[/tex]

Divide both sides by 1000000

[tex]0.5= e^{k*6}[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(0.5) = ln(e^{k*6})[/tex]

[tex]ln(0.5) = k*6[/tex]

Solve for k

[tex]k = \frac{ln(0.5)}{6}[/tex]

[tex]k = \frac{-0.693}{6}[/tex]

[tex]k = -0.1155[/tex]

Recall that:

[tex]\frac{dA}{dt} = kA[/tex]

Where

[tex]\frac{dA}{dt}[/tex] = Rate

So, when

[tex]A = 600000[/tex]

The rate is:

[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]

[tex]\frac{dA}{dt} = -69300[/tex]

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

Answer:

b. How to interpret collected data.

Step-by-step explanation:

Answer:

All of the following should be considered when designing a study except __________.

( A.)  the type of research method to use

( B.)  how to interpret collected data (ANSWER)

( C.)  who the participants will be

( D.)  the type of measurement to use

Answer:

It would be A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B) 15

Step-by-step explanation:

Using basic logic we find that x = 4 and y = 1

4^2 = 16

1^2 = 1

16 - 1 = 15

Answer:

how about no

Step-by-step explanation:

Answer: x=48

Step-by-step explanation:

The length AC of the right-angle triangle will be 48 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

AC / AB = AB / AD

AC / 24 = 24 / 12

AC = 48 units

The length AC of the right-angle triangle will be 48 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

perimeter- 36 in.

area- 77 [tex]in^2[/tex]

Step-by-step explanation:

to find the perimeter you add all of the sides, so

7 + 7 + 11 + 11 = 36

*** the opposite side of the 7 is also 7, same with the 11 :)

to find the area for a rectangle, you use the formula A=b*h

so, the base(b)=7 and the height(h)= 11

therefore, 7 * 11 = 77

I hope this helps!! :) if it does, brainliest?? :)

Answer:I cannot see photo

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

Answer:

145.0 cm^2

Step-by-step explanation:

Given data

r= 4cm

l= 5cm

h=??

Apply Pythagoras theorem to find h we have

h^2= 4^2+5^2

h^2= 16+25

h^2= 41

h=√41

h= 6.4cm

Substitute into the formula for the surface area of cone

A=πr(r+√h^2+r^2)

A=3.14*4(4+√6.4^2+4^2)

A=12.56(4+√40.96+16)

A=12.56(4+√56.96)

A=12.56(4+7.547)

A=12.56*11.547

A=145.0 cm^2

Answer:

man's age = 54

daughter's age = 18

Step-by-step explanation:

x = man's age

y = daughters age

x = 3y

x - y = 36

substitute for x:

3y -y = 36

2y = 36

y = 18

x = 54

If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.

It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,

We have to find the ages of the father and daughter.

Suppose the age of the father and daughter will be x and y respectively.

If the man is three times as old as his daughter,

x = 3y

If the difference in their ages is 36 years

x - y = 36

Put the value of x as,

3y -y = 36

2y = 36

y = 18

x = 54

Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

.Learn more about the equation here,

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Answer:

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.

You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.

If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.

Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.

5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe

7

Related Questions (More Answers Below)

Step-by-step explanation:

Answer:

Amount June get = £45

Step-by-step explanation:

Given:

Total amount divided = £150

Amount Nick get = 2 x Amount June get

Amount June get = 3 x Amount Sushil get

Find:

Amount divided between Nick June and Sushil

Computation:

Assume;

Amount Sushil get = a

Amount June get = 3 x Amount Sushil get

Amount June get = 3a

Amount Nick get = 2 x Amount June get

Amount Nick get = 2 x 3a

Amount Nick get = 6a

Amount Sushil get + Amount June get + Amount Nick get = Total amount

So,

a + 3a + 6a = 150

10a = 150

a = 15

So,

Amount Sushil get = £15

Amount June get = 3a

Amount June get = 3 x 15

Amount June get = £45

Amount Nick get = 6a

Amount Nick get = 6 x 15

Amount Nick get = £90

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Step-by-step explanation:

tan = opp/adj

tan B = x/y

hope this helps

Answer:

T = 4n - 5

Step-by-step explanation:

Ben = n

Chloe = 2n

Dan = n - 5

n + 2n + (n - 5) = T years

3n + n - 5 = T years

4n - 5 = T years

Answer: 12, B

Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12

Answer:

Step-by-step explanation:

Bonjour,

2x*3x =6x²

2x* -5 = -10x

-3 * 3x = -9x

-3*-5 = 15

=>

6x² -10x  - 9x +15 = 6x ² -19x  +15

Answer:

6x^2 - 19x + 15.

Step-by-step explanation:

(2x - 3)(3x -5)​

= 2x(3x - 5) - 3(3x - 5)

= 6x^2 - 10x - 9x + 15

= 6x^2 - 19x + 15.

A) 4.2025

Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi

Answer:

100.53

Step-by-step explanation:

Answer:

1&3 are wrong 4 and 2 are right

Step-by-step explanation:

may i be marked brainliest

Answer:

50 species every day

Step-by-step explanation:

using cos to get x

cos -1 of 13/20

= 49.45

then y = 40.54° using sin y= opp /hyp =13\15

then the sin-1 of 13/20 =40.54 •