find f(x) based on the following information: f′′(x)=2x2−x with f′(2)=163 and f(1)=3.

Answer:

8/18?

Step-by-step explanation:

The correct answer is (a) gas mileage is a response variable, and you expect to find a negative association.

The reason for this is that other things being equal, larger automobile engines require more fuel to operate, which means they are less fuel efficient. Therefore, as engine size (in liters) increases, we would expect fuel efficiency (in mpg) to decrease.

To test this hypothesis, we would need to gather data on the engine size and fuel efficiency of a sample of sport utility vehicles. We could then use regression analysis to determine the strength and direction of the association between engine size and fuel efficiency. If our hypothesis is correct, we would expect to see a negative coefficient for engine size in our regression model, indicating that larger engine sizes are indeed associated with lower fuel efficiency.

In summary, when studying the effect of engine size on fuel efficiency, gas mileage is the response variable and we expect to find a negative association between engine size and fuel efficiency.

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Answer:

The answer is 5/8

Step-by-step explanation:

Step 1 : Convert both fractions so they have the same denominator (bottom number in the fraction.)

1/4 = 2/8

So now were dealing with :

2/8 + 3/8 = ?

Step 2 : Add the numerators together to get the numerator for our answer.

2 + 3 = 5

When adding two fractions with the same denominator the denominator stays the same, so our answer is 5/8.

Hope this helps, please mark brainliest. :) Have a nice day.

Answer:

1/2

Step-by-step explanation:

1/4 +3/8

1/4 times 1/2 = 1/8

1/8 +3/8 = 4/8 = 1/2

Step-by-step explanation:

y=5(-1)+3

y=-5+3

y=—2

y=5(0)+3

y=3

y=5(1)+3

y=5+3

y=8

y=5(2)+3

y=10+3

y=13

Answer:

the temperature is -5C which is negative so its behind the zero on a number line  and 6C is positive which is infront of the zero so it would be 1C by noon

Step-by-step explanation:

Answer:

Two ways

First way is substituting pi as 3.14:   6.28 cm

Second way is to use the pi symbol:   2π

Step-by-step explanation:

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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It will take 3.07 m long to reach at its maximum height.

The volleyball will reach at the maximum height at 0.673 s after it is served. The  Calculating for the height the volleyball  will reach before going to  downwards. Therefore the volleyball will do have a maximum height of 3.07 m  with respect to the ground.

3.78 m Ignoring resistance, the ball will travel upwards until it's velocity is 0 m/s. So we'll first calculate how many seconds that takes.

7.2 m/s / 9.81 m/s^2 = 0.77945s

The distance traveled is given by the formula d = 1/2 AT^2, so substitute the known value for A and T, giving

d = 1/2 A T^2 d = 1/2 9.81 m/s^2 (0.77945 s)^2 d = 4.905 m/s^2 0.607542 s^2 d = 2.979995

m So the volleyball will travel 2.979995 meters straight up from the point upon which it was launched. So we need to add the 0.80 meters initial height.

d = 2.979995 m + 0.8 m = 3.779995

m Rounding to 2 decimal places gives us 3.78 m.

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Answer:

The answer is x = 43

Step-by-step explanation:

Solve for  B  by simplifying both sides of the equation, then isolating the variable.

hoped helped!

Brainly, please?

Answer:

B = 43

Step-by-step explanation:

1. Distribute.

5b + 15 = 4b - 28 + 2b

2. Combine like terms.

5b + 15 = 6b - 28

3. Get B on one side.

5b + 15 = 6b - 28

-5b + 28 = -5b + 28

43 = b

The probabilities are as follows:a) i) Probability of Type AB blood: 0.03ii) Probability of Type A or Type B blood: 0.53iii) Probability of not being Type O: 0.56b) i) Probability of all donors being Type O: 0.0444

i) The probability that the donor has Type AB blood can be calculated by subtracting the sum of the probabilities of the other blood types from 1. Since the rest of the blood types (Type O, Type A, and Type B) account for 44% + 41% + 12% = 97% of the population, the probability of having Type AB blood is 1 - 0.97 = 0.03.ii) The probability that the donor has Type A or Type B blood can be calculated by adding the probabilities of Type A and Type B blood. Therefore, the probability is 0.41 + 0.12 = 0.53.

iii) The probability that the donor is not Type O can be calculated by subtracting the probability of Type O blood (44%) from 1. Thus, the probability is 1 - 0.44 = 0.56.b) i) The probability that all four donors are Type O can be calculated by multiplying the probabilities of each donor having Type O blood. Since each donor has a 44% chance of having Type O blood, the probability is 0.44 * 0.44 * 0.44 * 0.44 = 0.0444 (rounded to three decimal places).

ii) The probability that none of the donors have Type AB blood is calculated by subtracting the probability of at least one donor having Type AB blood from 1. Since the probability of having Type AB blood is 0.03, the probability is 1 - 0.03 = 0.97.iii) The probability that not all of the donors are Type A can be calculated by subtracting the probability that all of them are Type A from 1. Since the probability of being Type A is 0.41, the probability is 1 - 0.41 = 0.59.iv) The probability that at least one donor is Type B can be calculated by subtracting the probability that none of them are Type B from 1. Since the probability of having Type B blood is 0.12, the probability is 1 - 0.88 = 0.12.

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Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful

Answer:

1375 square inches

Step-by-step explanation:

Rectangle 1

Area= 25*10= 250 square inches

Rectangle 2

Area= 75*15= 1125 square inches

Total Area of rectangle= 1125+250

=1375 square inches

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

Refer to the attachment

The truck travelled 0.42 miles per minute

The given parameters are:

Distance = 75 miles

Time = 3 hours

Convert time to minutes

Time = 3 * 60 minutes

Time = 180 minutes

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 75 miles/180 minutes

Evaluate

Speed = 0.42 miles per minutes

Hence, the truck travelled 0.42 miles per minute

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m=n and C=D, as CD is an nxn matrix and In and Im have dimensions nxn and mxm, respectively.

To prove that m=n, let us consider the dimensions of the matrices involved. The matrix product CD has dimensions nxm times mxn, which gives an nxn matrix. On the other hand, the identity matrices In and Im have dimensions nxn and mxm, respectively. Therefore, for the products CA and AD to be well-defined, we must have m=n.

Now, let us show that C=D. We have:

CA = In (given)

AD = Im (given)

Multiplying both sides of the first equation by D on the right and both sides of the second equation by C on the left, we get:

CAD = D (from CA=In)

CAD = C (from AD=Im)

Since CAD is equal to both D and C, we have D=C. Therefore, the matrices C and D are equal, and we have proved that m=n and C=D.

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The next number in the series 2, 5, 8, 11, 14, ..... is 17, 20, 23 and so on.

In order to find the next number in the series we have to find the difference between those numbers. Difference between first two number is:

5 - 2 = 3.

For the next pair: 8 - 5 = 3 and so on. 14 - 11 = 3. Hence, we have to add 3 in the previous number in order to find the next numbers. 14 + 3 = 17,

17 + 3 = 20

20 + 3 = 23

and so on.

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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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Answer:

D. x(x+5)^2

Step-by-step explanation:

Factor out an x first and then factor the rest like you normally would

x(x^2+10x+25)

Only factor the inside now. You need two numbers that multiply together to give you 25 and add to get you 10, which is 5.

When factored, it becomes:

x(x+5)(x+5)

(x+5)(x+5) is the same as (x+5)^2

A recipe calls for 4 boxes of rice to serve 13 people. If you want to serve 39 people, you need to call 12 boxes of rice.

As A recipe calls for 4 boxes of rice to serve 13 people.

It means that 4 boxes are sufficient to serve 13 people.

So, from above,

We can conclude that,

In 2 boxes, we can serve 6(1/2) people,

When we double the number of boxes we can serve the double person.

So, we can come to the conclusion,

In 8 boxes we can serve (13*2 = 26) people.

As we need to serve 39 people,

So, we order 8 + 4 = 12 boxes.

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You should use 12 number of boxes of rice to serve 39 people.

1. The recipe calls for 4 boxes of rice to serve 13 people

2. To serve 39 people, you need to multiply the amount of boxes of rice by 3

3. 4 boxes of rice * 3 = 12 boxes of rice

4. Therefore, you should use 12 boxes of rice to serve 39 people.

A recipe calls for 4 boxes of rice to serve 13 people, but if you want to serve 39 people, you need to multiply the amount of boxes of rice by 3. This means that 4 boxes of rice * 3 = 12 boxes of rice. Therefore, you should use 12 boxes of rice to serve 39 people, which is three times the amount that the recipe calls for. To serve even more people, you can simply keep multiplying the amount of boxes of rice by the number of people you want to serve. For example, to serve 100 people, you would need to use 40 number of boxes of rice (4 boxes of rice * 10 = 40 boxes of rice). Knowing this, you can easily adjust the amount of boxes of rice needed to serve any number of people.

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25.48 was spent on a pass and lunch for each student.

Total money spend on passes = 683.47

Total no. of people = 38 + 3

                                = 41

Money spend on pass for each person = 683.47/41

                                                                 = 16.67

Total money spend on lunch = 334.78

Total no. of students = 38

Money spend on lunch for each student = 334.78/38

                                                                   = 8.81

Total = 16.67 + 8.81

        = 25.48

Hence, 25.48 was spent on a pass and lunch for each student.

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The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

The current value of Joy's portfolio is $21,771. She purchased the stocks using a broker, and we need to find the broker fee 'f'.

The total cost of the transaction, including the broker fee, would be the current value of the portfolio. Therefore, we can set up the equation:

s + f = 21,771

Since we are solving for 'f', we rearrange the equation:

f = 21,771 - s

The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

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Answer:

A) 20

Step-by-step explanation:

\( |(12 + 8) \div 2| \times 2 \\ |20 \div 2| \times 2 \\ 10 \times 2 \\ 20\)

Dominic should lower or maintain his sodium intake to below 2,300 mg/day.

The Chronic Disease Risk Reduction (CDRR) consumption of 2,300 mg/day was recently developed due to connections between high sodium intake and the risk of hypertension. It is anticipated that sodium intake below this level will lower the risk of chronic diseases.

Adults may be at risk for chronic diseases if their sodium intake exceeds their CDRR intake. The population's cardiovascular health may be improved by efforts to reduce sodium consumption. Among healthy individuals, lowering daily sodium intake to CDRR is anticipated to lower the risk of developing chronic diseases, primarily by lowering blood pressure.

Hence, sodium intake to below 2,300 mg/day can reduce his risk of chronic disease.

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The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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The asymptotes of f vertically (x)x=4, -4 are the vertical asymptotes.

An area on a graph where a function approaches infinity or negative infinity is known as a vertical asymptote. It happens when a rational function, which is a function that can be expressed as the quotient of two polynomials, has a denominator equal to zero but a numerator that is not. As a result, there is a noticeable "break" in the graph when the function becomes unbounded. For instance, when x=3, the vertical asymptote of the function 1/(x-3) exists.

As per the data given in the above question are as bellow,

The provided data are,

\(\mathrm{F}(\mathrm{x})=\frac{3 \mathrm{x}^2}{\mathrm{x}^2-16}\)

When it comes to vertical asymptotes, the denominator is zero.

\(\mathrm{x}^2-16 & =0 \\\mathrm{x}^2 & =16 \\\)

x= ±4

x=4,-4

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Answer: f(4)=17

Step-by-step explanation:

Plug 4 into 5x-3, as this includes 4 in the domain.

5(4)-3=17