oil to 6
4. A chainsaw requires a fuel mixture of 1
part parts gas.
a) Ken has a gas can that has 24 L of gas in it. Write a proportion that
you can use to determine the amount of oil he must add.
b) Solve your proportion.

Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. \(-2x^3+6x^2-9x+5\)

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

You have use slope form.

Answer:

x = 15/2

Step-by-step explanation:

Solve for x:

x - 5 = 2 + 1/2

Hint: | Put the fractions in 2 + 1/2 over a common denominator.

Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:

x - 5 = (2×2)/2 + 1/2

Hint: | Multiply 2 and 2 together.

2×2 = 4:

x - 5 = 4/2 + 1/2

Hint: | Add the fractions over a common denominator to a single fraction.

4/2 + 1/2 = (4 + 1)/2:

x - 5 = (4 + 1)/2

Hint: | Evaluate 4 + 1.

4 + 1 = 5:

x - 5 = 5/2

Hint: | Isolate terms with x to the left hand side.

Add 5 to both sides:

x + (5 - 5) = 5/2 + 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 5/2 + 5

Hint: | Put the fractions in 5/2 + 5 over a common denominator.

Put 5/2 + 5 over the common denominator 2. 5/2 + 5 = 5/2 + (2×5)/2:

x = 5/2 + (2×5)/2

Hint: | Multiply 2 and 5 together.

2×5 = 10:

x = 5/2 + 10/2

Hint: | Add the fractions over a common denominator to a single fraction.

5/2 + 10/2 = (5 + 10)/2:

x = (5 + 10)/2

Hint: | Evaluate 5 + 10.

5 + 10 = 15:

Answer: x = 15/2

Answer:

7 1/2

Step-by-step explanation:

Hello!

To solve this we have to get x by itself

What we do to one side of the equation we have to do to the other

-5 + x = 2 1/2

To get -5 to the other side we have to add 5 to make it zero

What we do to the left side we have to do to the right

-5 + 5 + x = 2 1/2 + 5

Simplify

0 + x = 7 1/2

We can drop the 0

x = 7 1/2

The answer is 7 1/2

Hope this helps!

Answer:

105 cm

Step-by-step explanation:

Table + cat - mouse = 120 ...(1)

table + mouse - cat = 90 ...(2)

(1)+(2): 2*Table = 210

Table = 105

Answer:

105cm

Step-by-step explanation:

Let the height of squireel be x, mice by Y. Table be z.

x+z-y=120

y+z-x=90

zx=210

z=105cm

If a car is -0.67 standard deviations away from the mean speed of 50 miles per hour, it is traveling at approximately 43.3 miles per hour.

To find a particular value given the number of standard deviations away from the mean it falls, we can use the z-score equation:
z = (x - μ) / σ

where z is the number of standard deviations away from the mean, x is the value we want to find, μ is the mean, and σ is the standard deviation.

To rearrange this equation to find x, we can isolate it by multiplying both sides by σ and adding μ:
x = z * σ + μ

a. To find the value associated with a car that is 2.3 standard deviations above the z-score, we can use the above equation:
x = 2.3 * σ + μ

Since we don't have any specific values for μ and σ, we can't find an exact answer. However, we can make some generalizations based on the normal distribution.

For example, we know that about 2.3% of the area under the normal curve falls beyond 2.3 standard deviations above the mean.

So, if we assume that the data follows a normal distribution, we can say that the value associated with a car that is 2.3 standard deviations above the z-score is relatively rare and unlikely to occur.

b. To find how many miles per hour a car is traveling if it is -0.67 standard deviations away from the mean, we can use the same equation:

x = z * σ + μ

In this case, z = -0.67, and we don't have any specific values for μ and σ. Again, we can make some generalizations based on the normal distribution. For example, if we know that the mean speed of cars on a particular road is 50 miles per hour, and the standard deviation is 10 miles per hour, we can plug these values into the equation:

x = -0.67 * 10 + 50

x = 43.3 miles per hour

Therefore, if a car is -0.67 standard deviations away from the mean speed of 50 miles per hour, it is traveling at approximately 43.3 miles per hour.

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We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

x-intercepts = (8, 0) and (-4, 0)

y- intercept = (0, 8)

vertex = (2, 9)

Step-by-step explanation:

Sorry if its wrong but I think it's where the coordinates are according to the graph. The x-int would hit at the x-axis, y-int would hit the y-axis, and the vertex would be where it's highest point is

Answer:

lma ooo how many times did you post

4x^2 - 16x + 8

Step-by-step explanation:

4(x-2)^2-8

4(x-2)(x-2)-8

4{x^2-4x+4}-8

4x^2 - 16x +16 - 8

4x^2 - 16x + 8

To verify if χ is an eigenstate of Sy, we need to calculate the result of Syχ. Syχ is given by;

Syχ= 2ℏ​(0 i −i 0)2 ​1

​(1 i)​=2ℏ​(0−1 i0)2 ​1

​(1 i)​=2ℏ​(−i i)2 ​1

​(1 i)​=2ℏ​(−i+1)2 ​1

​(1 i)​=2ℏ​(−i+1)2 ​1

​(1 i)​= (−2ℏi+2ℏ)2 ​1

​(1 i)​= 2ℏ(1−i)2 ​1

​(1 i)​=2ℏ​(1−i)(1 i)2 ​1

​=2ℏ​(1−i)2 ​1​

= 2ℏ ​(1 − 2i) 2 ​1

​Therefore, Syχ = 2ℏ ​(1 − 2i) 2 ​1​

We know that for any eigenstate, Syχ = λχ Where λ is the corresponding eigenvalue.

From the above calculation, we can say that 2ℏ ​(1 − 2i) 2 ​1​is an eigenvalue of Sy. The corresponding eigenvalue can be found by equating the two.

2ℏ ​(1 − 2i) 2 ​1​= λ 2 ​1​λ = 2ℏ (1 − 2i)

Therefore, the eigenvalue of the given state is λ = 2ℏ (1 − 2i).

(ii) We know that the probability of a spin-1/2 particle being measured to have spin up or down along the z-axis, respectively, is given by |〈uᶻ | χ〉|2 and |〈dᶻ | χ〉|2.  |〈uᶻ | χ〉

|2= |(1 0) (21​1i​)T|2

= |1(21​)+0(1i​)|2

= |2/√5|2= 4/5

Therefore, the probability that the measurement will give the value −ℏ/2 is 4/5.

Therefore, the state χ is an eigenstate of Sy with an eigenvalue of 2ℏ (1 − 2i), and the probability of the measurement giving the value −ℏ/2 is 4/5.

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The four-quarter moving average and centered moving average values for this time series-

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

What is Quarter?

A quarter is a three-month period in a company's financial calendar that serves as the basis for regular financial reports and dividend payments.

a) To calculate the four-quarter moving average, we sum up the values for each quarter over the past four years and divide by 4.

Quarter | Year 1 | Year 2 | Year 3 | Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | -

3 | 3 | 5 | 6 | -

4 | 5 | 7 | 8 | -

To calculate the centered moving average, we take the average of the values for each quarter and the neighboring quarters.

Quarter | Year 1 | Year 2 | Year 3 | Centered Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | (4+2+3)/3 = 3

3 | 3 | 5 | 6 | (2+3+5)/3 = 3.33

4 | 5 | 7 | 8 | (3+5+7)/3 = 5

b) To compute the seasonal indexes, we need to find the average value for each quarter over the three years.

Quarter | Year 1 | Year 2 | Year 3 | Average

1 | 4 | 6 | 7 | 5.67

2 | 2 | 3 | 6 | 3.67

3 | 3 | 5 | 6 | 4.67

4 | 5 | 7 | 8 | 6.67

To compute the adjusted seasonal indexes, we divide the average value for each quarter by the overall average of all the data points.

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

Therefore, the four-quarter moving average and centered moving average values for this time series are not available based on the given data. The computed seasonal indexes and adjusted seasonal indexes are as shown above.

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Answer:

A = -2/3

B = 8

C = -24

Line of symmetry calculation = x = -8/2*(2/3)

Line of symmetry is x = 6

Opens down

Min/man is (6,0)

Vertex is (6,0)

Domain is (-infinity, infinity)

Range is (-infinity, 0)

8z + 7w;    z = 6;   w = 7

8z + 7w  

=(8x6) + (7x7)

=48 + 49

=97

The answer is 97.

Answer:

97

Step-by-step explanation:

BIG BRAIN

Answer:

slope = -2

Step-by-step explanation:

(-5,2) (-8,8)

equation to find slope: \(\frac{y1 - y2}{x1 - x2}\)

\(\frac{2-8}{-5+8}\) = \(\frac{-6}{3}\) = \(\frac{-2}{1}\) = -2

Answer:

10%

Step-by-step explanation:

30+15=45

45 is 10% of 450 as 450/10= 45

The solution to the linear function y = 1/4x + 5/4 is (1, 1.5)

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are constants and x is a variable. It is a type of equation that describes a straight line when graphed.

The linear function given is y = 1/4x + 5/4

The solutions given are (1, 1.5) and (12, 4)

Let's test for the values.

For (1, 1.5)

y = 1/4(1) + 5/4

y = 1/4 + 5/4

y = (1 + 5)/4

y = 6/4

y = 1.5

This solution is true.

Let's test for (12, 4)

y = 1/4(12) + 5/4

y = 4.25

This solution is not true

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Answer:

50 degrees Fahrenheit

Step-by-step explanation:

add 15f to cancel -15f and add the 35f left which is 50f

461+1=462

462÷7=66

Your answer is 461

Answer:

461

Step-by-step explanation:

Work backwards.

7 X 66=462

462-1=461

So 461 is the answer

Answer:

$916.50

$3,783.50

Step-by-step explanation:

down payment:

4700 x .195 = $916.50

still owed:

4700 - 916.5 = $3,783.50

Answer:

$20

Step-by-step explanation:

50 percent means half off so it would be $20

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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a. The probability that difference in sample proportions is more than 6% is 0.1056.

b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.

a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

P1 = 57% of students are from school A.

p2 = 61% of students are from school B.

Sample sizes from schools A and B were 75 and 80, respectively.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 6% = 0.06

Z = (0.57 - 0.61 - 0.06) / 0.0803

= -1.248

Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.

Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.

b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

57% of the population in p1 is from school A.

61% of those in p2 are from school B.

75 were included in the sample from school A, while 80 were included in the sample from school B.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 5% = 0.05

Z = (0.57 - 0.61 - 0.05) / 0.0803

= -0.621

We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.

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A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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The volume of the fish tank is 2000 cubic centimeters, which is calculated by multiplying the length, width, and depth of the tank (25 x 10 x 8 = 2000).

The volume of a fish tank is an important piece of information to know when setting up a fish tank. To calculate the volume of a fish tank, you must multiply the length, width, and depth of the tank. In this example, the fish tank has a length of 25 centimeters, a width of 10 centimeters, and a depth of 8 centimeters. To calculate the volume of the fish tank, we would multiply these three measurements, 25 x 10 x 8 = 2000. This means that the fish tank has a volume of 2000 cubic centimeters. Knowing the volume of the fish tank is important for selecting the right type and size of filter, heater, and other equipment for the tank, as well as for selecting the right number and size of fish for the tank. Furthermore, it is necessary to know the volume of the tank when adding water and testing water parameters, such as pH and nitrate levels, as these readings are related to the size of the tank. Knowing the volume of a fish tank is essential for successful fish keeping.

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The angle, in degrees, of the compass direction of a line connecting will be 53.9 degrees

Your entire distance from the beginning location is your hypotenuse.

We employ the hypotenuse formula because...

The Pythagoras theorem can be used to determine the length of the hypotenuse in a right triangle. According to the theory, the hypotenuse's square is equal to the sum of its two other sides' squares.

R2=A2+B2

R2=17.52+242R2

=306.25+576

R=√882.25

=29.7 meters

However, the assertion that R=A + B is incorrect (the assertion on the figure is FALSE!).

Your direction is northwest.

Now use trigonometry:

sinθ=B/R

sinθ=24/29.70

=0.808

θ=53.9 degrees. This is your angle.

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The minimum number of surveyed people was 35.

Let us consider that x be the total number of people that have been surveyed. Therefore, the total number of people who gave the yes, option to the question is 0.69x.

The evaluation of error is 5%, so the estimate could be counted off by at most 0.05x.

The estimation was created with 96% confidence, so considering the recent events we need to find a value k so the probability that the estimation is off by greater than k is less than 4%.

using the principles of standard deviation here we get,

0.05x≤1.75

x ≥ \(\frac{1.75}{0.05}\)

x ≥ 35

The minimum number of surveyed people was 35.

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Answer:

the answer is n=2 (A)

hope this helps

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{n = 2}}}}}}\)

Option A is the correct option.

Step-by-step explanation:

\( \sf{4 - 6(1 + 4n) = - 8n - 34}\)

Distribute 6 through the parentheses

\( \longrightarrow{ \sf{4 - 6 - 24n = - 8n - 34}}\)

The negative and positive integers are always subtracted but possess the sign of the bigger integer.

\( \longrightarrow{ \sf{ - 2 - 24n = - 8n - 34}}\)

Move 8n to left hand side and change its sign

Similarly, move 2 to right hand side and change it's sign

\( \longrightarrow{ \sf{ - 24n + 8n = - 34 + 2}}\)

Collect like terms

\( \longrightarrow{ \sf{ - 16n = - 34 + 2}}\)

Subtract 2 from 34

\( \longrightarrow{ \sf{ - 16n = - 32}}\)

Divide both sides by -16

\( \longrightarrow{ \sf{ \frac{ - 16n}{ - 16} = \frac{ - 32}{ - 16}}} \)

Calculate

\( \longrightarrow{ \sf{n = 2}}\)

Hope I helped!

Best regards! :D