A car burns 40% of the oil in its engine. The car contains 6000ml of oil How much oil does the car burn

Answer: See below

Step-by-step explanation:

[tex]100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}100[/tex]

[tex]\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}[/tex]

[tex]Simplify[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}[/tex]

[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)[/tex]

[tex]\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}214[/tex]

[tex]\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)[/tex]

[tex]-\ln \left(2\right)t=-214\ln \left(5\right)[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)[/tex]

[tex]\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}[/tex]

[tex]t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}[/tex] or [tex]\mathrm{Decimal}:\quad t=496.89261\dots[/tex]

Answer:

[tex]\sf t= 496.9[/tex]

solving steps:

[tex]\rightarrow \sf 20=\:100\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{divide \ both \ side \ by \ 100}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{5} =\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{apply \ exponent \ rules}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = ln(\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}})[/tex]

[tex]\sf \bold{simplify}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = \dfrac{t}{214} ln\:\left(\dfrac{1}{2}\right)}[/tex]

[tex]\hookrightarrow \sf \dfrac{ln(\dfrac{1}{5}) }{ln(\dfrac{1}{2})\right)}} = \dfrac{t}{214}[/tex]

[tex]\hookrightarrow \sf \dfrac{214 \ ( \ ln(\dfrac{1}{5}) \ ) }{ln(\dfrac{1}{2})\right)}} = {t}[/tex]

[tex]\hookrightarrow \sf t= 496.9[/tex]

The approximately 99.7% of the bags will have lengths within 3 standard deviations.

We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.

The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

So the approximately 68% data falls within 1 standard deviation of the mean.

and the approximately 95% of data falls within 2 standard deviation of the mean.

Now the approximately 99.7% data falls within 3 standard deviation of the mean.

As the weights of 2-pound bags of best dog food are normally distributed,

Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.

To learn about the standard deviation visit:

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Answer:

option d

Step-by-step explanation:

Answer:

39.01

Step-by-step explanation:

26 - n = 9.4

26 - 9.4 = n

n = 16.6

If you need the cost of all the gallons it costs $39.01

Answer:

576

Step-by-step explanation:

64×9 = 576

72×8= 576

The LCM of both numbers is 576

Answer:

Step-by-step explanation:

It will be the least common multiple of 64 and 72 days

64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶

72 = 2*2*2*3*3 = 2³ * 3²

LCM = 2⁶ * 3² = 64 * 9 =  576

Both will meet each other again 576 days

Answer:

yes

Step-by-step explanation:

when you are dividing fraction, you have to flip the 2nd fraction (reciprocal)

16 / 3/4 is equal to 16 * 4/3

One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.

For the first two we have:

11 - 10 = 1

for the second and third:

21 - 11 = 10

for the fourth and third:

32 - 21 = 11

for the fifth and fourth:

53 - 32 = 21

We already can see the pattern, the n-th term can be written as:

Aₙ = Aₙ₋₁  + Aₙ₋₂

This means that the missing number, the next one, will just be equal to the sum of the two previous ones.

Then the next number is:

N = 138 + 223 = 361

If you want to learn more, you can read:

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Answer:

Step-by-step explanation:

y = a(x - p)² + q  - the vertex form of an equation of a parabola with a vertex (p, q)

(-2, 5)  ⇒  p = -2,   q = 5

y = a(x + 2)² + 5   - the vertex form of an equation of the parabola with vertex (-2, 5)

y-intercept of -27 means x=0,  y=-27

-27 = a(0 + 2)² + 5

-27 -5 = a(2)² + 5 -5

-32 = 4a

  a = -8

The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:

                              f(x) = -8(x + 2)² + 5

The best example of nonresponse bias from the scenario of this airline surveying customers is that Satisfied customers might be less likely to complete the survey than dissatisfied customers.

Nonresponse bias refers to a situation that arises where people are less inclined to provide feedback because their experience was different from those who did.

Satisfied customers would be less inclined to talk about their overall satisfaction than unsatisfied customers as the latter would use the opportunity to make their dissatisfaction known.

Find out more on nonresponse bias at https://brainly.com/question/25116315.

Answer:

20-(4+2)

Step-by-step explanation:

So since they are eating, they are taking away, or subtracting.

Answer:

20 - (4 + 2)

Step-by-step explanation:

The original amount is 20.

The number of cookies left is the original amount minus the amount that was eaten.

Amy ate 4 cookies.

Her brother ate 2 cookies.

Amount that was eaten: 4 + 2

Amount left = original amount - amount that was eaten

amount left = 20 - (4 + 2)

Answer:

Transitive Property

Step-by-step explanation:

Let's define the following word bank answer choices:

Complementary Angles  ⇒ Angles that add up to 90 degree

Vertical angles ⇒  pair of opposite angles formed by intersecting lines

Reflexive Property ⇒ equality states that a number is always equal to itself

Transitive Property ⇒ All real numbers x ,y, and z, if x=y and y=z , then x=z.

Solve:

Base on the given we know that it not complementary angles because it doesn't form 90 degree (right angle).

We Also know that it not vertical angles because it doesn't  shows angles opposite each other where two lines cross.

In addition, the given doesn't shows If a is a number, then. a = a. a=a.

Thus, Transitive Property is the answer.

[RevyBreeze]

Answer:

101°

Step-by-step explanation:

angle 5 = angle 3(interior alternate angles)

so angle 2 = 101

angle 2=angle 4 = 101°(vertically opposite angles)

7.62 X 10 to the -6th power goes to the third one

7.62 X 10 to the 5th power goes to the second

and 7.62 X to the -4th power goes to the fourth

and i think you have the first one right!

i really hoped this helped you

Answer:

Angle 2

Step-by-step explanation:

Vertical angles are angles facing each other, and have equal measures.

So if they gave you the measure of angle 2, you would’ve known the answer for angle three. ur welcome :)

Answer: Yea dude your best bet is 2

Step-by-step explanation: Because you really have to know your angles like obtuse and acute that type of stuff

Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,

[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]

Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

Learn more about Like Terms:

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Answer:

The arithmetic means are;

6.5 , 2.75, 4.125 , 4.8125

Step-by-step explanation:

We start by finding the mean of the two numbers;

(14-1)/2 = 13/2 = 6.5

Next;

(-1 + 6.5)/2 = 5.5/2 = 2.75

Next

(2.75 + 5.5)/2 = 4.125

Next;

(4.125 + 5.5)/2 = 4.8125

Answer:

454 people dont have a home phone

Step-by-step explanation:

842/100=8.42

8.42×54= 454.68

you cant have .68 of a person so its 454

Answer:

Please see below.

Step-by-step explanation:

100% = 842

50% = 421

10% = 84.2

1% = 8.42

4% = 33.68

54% = 454.68

You can round up or down to 454 or 455.

Please let me know if I'm incorrect!

Answer:

16.77ft

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

if y= x^2 e^x then the derivative is x^2 * e^x + e^x * 2x

take e^x and x as commom so we get e^x * x ( x+2)

Answer:

use Pythagoras theorem to get the x

You subtract the lowest point from the highest point.

Lowest Point = 6 because the lowest y value the graph reaches is 6

Highest point is 12

12 - 6 = 6.

This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.

Answer:

-]$1784_- ₱14200

Step-by-step explanation:

dimentional fence

Answer:

y = 20

Step-by-step explanation:

[tex]y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20[/tex]

Answer:

a = j

Step-by-step explanation:

because a and j are written in the same place they are the same

Answer:

a. 94 square centimeters

Step-by-step explanation:

Answer:

Find the volume of a concrete block that is 2.5 metres long,. 12 centimetres wide and. 10 centimetres high. Two of the dimensions, the width and height,

Answer:

480,000 cm3

Step-by-step explanation:

give crown please ( brainliest )