Use the distributive property to create an equivalent expression to 6(3j + 4 +j)

Answer:

That is the pythagorean theorem.

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:

Part A. The absolute error is 0.2

Part B. The percent error is 1.45

Step-by-step explanation:

Hope this helps! :)

P.S I can tell that you have experience with the bots who ask you to go press a link. :)

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: 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:

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:

False

Step-by-step explanation:

They both have four angles that measure 90°.

Hope I helped.

No it isnt true. A rectangle or a square has right angles that have a degree of 90 so its actually 90 degrees.

Answer:

Step-by-step explanation:

sketch it out

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:

35 adults, 420 children

Step-by-step explanation:

1. Set up variables

Let's say children is c and adults is a.

2. Create the equations

c = 12a AND c + a = 455

3. Plug in the variables

Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...

12a + a = 455

13a = 455

a = 35

3. Plug in more variables

Now we have our answer for a, so let's plug it into the other equation. That would be...

c + a = 455

c + 35 = 455

c = 420

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

#SPJ2

Answer:

50 species every day

Step-by-step explanation:

Answer:

"yes" or "no"

Step-by-step explanation:

Step-by-step explanation:

tan = opp/adj

tan B = x/y

hope this helps

Answer:

f(x) =  -2 log3x - 3.

Step-by-step explanation:

f(x) = log3x

Reflecting over x axis makes it  f(x) = f(x) = -log3x

Vertical stretch gives -2 log3x

Finally moving the graph down 3 units gives  -2 log3x - 3.

Answer:

Computer 752

Printer 376

Step-by-step explanation:

1128./3=376

1128.-376=752

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

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.

Answer: a and b

Step-by-step explanation:

Answer:

a, b

Step-by-step explanation:

input, output = ordered pair

m = 3, y-int = 2

Answer:

10 times

Step-by-step explanation:

125-70 bonus points =55 points left.

55 divided by 5.5 per visit = 10 times to get a free movie ticket.

To verify it is correct:

10 visits x 5.5 points each = 55 points total

55 + 70 bonus points = 125 for a free ticket.

Answer:

10

Step-by-step explanation:

Let x= number of visits

5.5x+70=

125

subtract -70 from 70 and 125

5.5x=  55

divide both sides by 5.5

x=10

:)

​

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

Answer:

Quadrilateral is a polygon with 4 sides and 4 angles

Answer:

Quadrilateral

=> hope it helps

Answer:

100.53

Step-by-step explanation:

A) 4.2025

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

Answer:it’s the first one

Step-by-step explanation:

Answer:

SU = 32 and <SVT = 32

Step-by-step explanation:

math, i am pretty sure about the angle and positive on the diagonal

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

Answer:

just have fun

Step-by-step explanation:

Step-by-step explanation:

Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system

Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.