Find d^2y/dx^2 at x = 2 a). y = x^2 (√x + 2) b). y = 3x^2 – 4/√x

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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Answer:

140%

Step-by-step explanation:

because there is a whole number and a fraction we know that the percentage will be higher than 100. The 2/5 if you exclude the whole number would be equivalent to 40% so now that we have the percentage of the whole number and the percentage of the fraction we add them together for 140%

Hope I helped!

The length of arc BC is 8/3 feet.

To find the length of arc BC, we first need to find the measure of angle BOC, where O is the center of the circle. Since angle BAC is 1/3 of one radian, and the central angle BOC intercepts the same arc BC, we know that angle BOC is three times angle BAC, or one radian.

Since the radius of the circle is 8 feet, the circumference is 2πr, or 16π feet. Since angle BOC is one radian, it subtends an arc on the circumference that is 1/2 of the total circumference, or 8π feet.

Therefore, the length of arc BC is 1/3 of arc BOC, or 8π/3 feet.

To find the length of arc BC, we will follow these steps:

1. Identify the given information: The radius of the circle is 8 feet, and the angle BAC is 1/3 of a radian.

2. Determine the central angle in radians: Since angle BAC is 1/3 of a radian, the central angle (θ) of the circle that corresponds to arc BC is also 1/3 of a radian.

3. Calculate the length of arc BC using the formula: Arc length (L) = radius (r) × central angle (θ).

In this case, r = 8 feet and θ = 1/3 radian.

L = 8 × (1/3)
L = 8/3

4. Simplify the expression: L = 8/3 feet.

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A n s w e r:

v^2(5-9v^4)

Step-by-step explanation:

I know it not all but this is what I have

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Where a and b are determined by the value of D.

A parabola is a type of graph, or curve, that is represented by an equation of the form y = ax² + bx + c. The vertex of a parabola is the point where the curve reaches its maximum or minimum point, depending on the direction of the opening of the parabola. In this case, the vertex of the parabola is at (-4,-1).
To find the equation of the parabola, we need to know two more points on the graph. We are given that when the y-value is 0, the x-value is 10-D. We can use this information to find another point on the graph.
When the y-value is 0, we have:
0 = a(10-D)² + b(10-D) + c
Simplifying this equation gives:
0 = 100a - 20aD + aD² + 10b - bD + c
Since the vertex is at (-4,-1), we know that:
-1 = a(-4)² + b(-4) + c
Simplifying this equation gives:
-1 = 16a - 4b + c
We now have two equations with three unknowns (a,b,c). To solve for these variables, we need one more point on the graph. Let's use the point (0,-5) as our third point.
When x = 0, y = -5:
-5 = a(0)² + b(0) + c
Simplifying this equation gives:
-5 = c
We can now substitute this value for c into the other two equations to get:
0 = 100a - 20aD + aD² + 10b - bD - 5
-1 = 16a - 4b - 5
Simplifying these equations gives:
100a - 20aD + aD² + 10b - bD = 5
16a - 4b = 4
We now have two equations with two unknowns (a,b). We can solve for these variables by using substitution or elimination. For example, we can solve for b in the second equation and substitute it into the first equation:
16a - 4b = 4
b = 4a - 1
100a - 20aD + aD² + 10(4a-1) - D(4a-1) = 5
Simplifying this equation gives:
aD² - 20aD - 391a + 391 = 0
We can now use the quadratic formula to solve for D:

D = [20 ± sqrt(20² - 4(a)(391a-391))]/2a
D = [20 ± sqrt(400 - 1564a² + 1564a)]/2a
D = 10 ± sqrt(100 - 391a² + 391a)/a
There are two possible values for D, depending on the value of a. However, since we don't have any information about the sign of a, we cannot determine which value of D is correct. Therefore, the final equation of the parabola is:
y = ax² + bx - 5

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The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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Answer:

$2.25 so $2.25 + 1 x2 = 2

Step-by-step explanation:

    1

2.25

 2.25

 2.25

 2.25

+ --------                    11

$8.90   answer is $17.50

                             $45.50 +

                                63.00

Answer:

No solution

Step-by-step explanation:

=> \(\frac{1}{4} (20-4a) = 6-a\)

=> \(\frac{1}{4} *4(5-a) = 6-a\)

=> \(5-a=6-a\)

Adding a to both sides

=> \(5-a+a=6-a+a\)

=> 5 ≠ 6

So, this equation has no solution.

The reasonable fraction for the part of the pan of brownies Kayla gave away is 1/2.

Kayla gave 1/3 of a pan of brownies to Ella and 1/6 of the pan to Eli.

Therefore, the part given away will be the addition of the fractions. This will be:

= 1/3 + 1/6

= 2/6 + 1/6

= 3/6

= 1/2

Therefore, 1/2 of the brownies were given away.

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Answer:11/26=0.423076923077 so it could be .0423

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer is c. assume numeric values for which arithmetic operations make sense.

A quantitative variable is a type of variable that represents numerical quantities and allows for mathematical operations such as addition, subtraction, multiplication, and division. It involves values that can be measured and expressed numerically. This type of variable is different from categorical variables, which represent qualitative characteristics or categories.

Options a, b, and d are not exclusive to quantitative variables. Categorical variables can also be graphed, have intermediate values (in the case of ordinal variables), and be used to prepare tables. However, only quantitative variables involve numeric values for which arithmetic operations can be performed.

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Answer:

the second one I think, as it is clearer and makes more sense

The jump will be from 0 to 0.8, and the other jump from 0.8 to 1.1 in the right direction. Then the correct option is B.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The expression is given below.

⇒ 0.8 + 0.3

The sign of both terms are similar that is positive.

If the sign of the number is positive, then we move rightward. Similarly, if the sign of the number is negative, then we move leftward.

First, the jump will be from 0 to 0.8, and the other jump from 0.8 to 1.1 in the right direction. Then the correct option is B.

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Answer:

The equal sign is generally placed at the separation between the left hand side and the right hand side

Step-by-step explanation:

Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:

Generally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations

The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.

The appropriate solution to each problem is

This is further explained below.

Generally, the equation for the probability is  mathematically given as

P(X > 100.6) = P(X-mean)/sd > (100.6-98.18)/0.64 )

P(X > 100.6)= P(Z > 3.7813)

P(X > 100.6)= 1 - P(Z < 3.7812)

P(X > 100.6)= 1 - 0.9999

P(X > 100.6)= 0.0001

Based on the likelihood presented before, the proportion of normal functioning and healthy people who may be regarded to have a fever is 100% multiplied by 0.00001, which is 0.01%.

This proportion has no bearing on the statistical picture at all. Therefore, this temperature cannot possibly be accurate since it is so absurdly high.

X = 98.18 + (1.645*0.64)

X= 99.2328

X= 99.23

In conclusion, The appropriate temperature for him is 99.23 degrees Fahrenheit.

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On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= \([5652]/(3.14*7.5²) = h=32 cm\)

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  \(=[4239]/(3.14*7.5²) = h=24 cm\)

the difference is \(32-24 = 8 cm\)

the answer is

8 cm

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Answer:

x=2 and y=-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.256 = 4x

So first Maya throws the rock from the 192-foot cliff into the ocean.

After 2 seconds, the rock reaches a maximum height of 256 feet;

After 4 seconds, the rock reaches the ocean.

Good luck!

The required equation that represents the scenario is x = 64 * 2 + 256 * 4

Given that,
Maya throws a rock straight up from the edge of a 192-foot cliff and into the ocean. After two seconds, the rock reaches a maximum height of 256 feet. Four seconds later, the rock enters the ocean. To write an equation to model the scenario.

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
let the total distance covered by the rock vertically be x,
now,
Distance traveled by the rock vertical upward in 2 seconds = 2 * (256 - 192)
                                                                                          = 2 * 64
Distance traveled by the rock vertical downward in 4 seconds = 4 * 256
Total distance,
x = 2 * 64 + 4 * 256

Thus, the required equation that represents the scenario is x = 64 * 2 + 256 * 40.

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Answer:

Company A

Step-by-step explanation:

Company A charges $75.50 + $0.14x per mile.

Company B charges $45.50 + $0.08x per mile.

The difference in charges is:

($75.50 + $0.14x) - ($45.50 + $0.08x) = $30 + $0.06x.

Therefore, for x miles, Company B charges $30 + $0.06x more than Company A.

Answer: 15 dimes 12 nickels 12 pennies 7 quarters?

Step-by-step explanation:

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

The answer is "6".

Step-by-step explanation:

Given:

\(C_1\) line segment \((0,0) \ to \ (-3,-1)\)

\(C_2\) line segment \((-3,1)\ to\ (-6,0)\)

\(C_1\) line equation:

\(\to \frac{x-0}{-3-0}=\frac{y-0}{1-0}=t\\\\\to x=-3t\\\\\to y= t\\\\ \longrightarrow \int _{C_1} -3 \ dy - 1 dx\\\\=\int^1_{0} -3 \ dt -(-3 \ dt)\\\\=\int^1_{0} 0 \ dt \\\\=0\\\\\therefore\\\\\to x=-3t\ \ \ \ \ \ \ \ \ \to y=t\\\\\to dx= -3 dt\ \ \ \ \ \ \ \ \to dy = dt\\\\\)

\(\bold{\int _{C_1} -3 \ dy - dx=0}\\\\\)

\(C_2\) line equation:

\(\to \frac{x-(-3)}{-6-(-3)}=\frac{y-1}{0-1}=t\\\\\to x=-3t-3 \ \ \ \ \ \ \ \ \ \ \to dx= -3 \ dt \\\\\to y= 1-t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \to dy= -dt\)

\(\int _{C_2} -3 \ dy - dx\\\\=\int^1 _{0} -3 \ (-dt) - (-3\ dt)\\\\=\int^1 _{0} 6 \ dt\\\\=6\\\\\to \bold{\int _{C_2} -3 \ dy - dx=6}\\\\\)

Let \(C=C_1+C_2\)

\(\to \bold{\int _{C} -3 \ dy - dx= \int _{C_1} -3 \ dy - 1\ dx +\int _{C_2} -3 \ dy - dx}\\\\\)

                             \(=0+6\\\\=6\)

Answer:

----------------------

Domain is the set of the first points of ordered pairs.

The domain of F is:

and the domain of G is:

The common domain of the both sets is:

This is matching the option A.

Answer:

y= -2x+1

Step-by-step explanation:

i hope this helps :)

Answer:

first row: 3 and 9 Second row: 30

Step-by-step explanation:

it looks like you are just adding 6 as you go up. random guess so prob wrong. sorry.

Answer:

2, 8, 45

Step-by-step explanation:

based off the one completed part of the table I decided that it would make sense if the time was multiplied by 3 to get the distance. So to complete these I divided or multiplied by 3 to find what to put in each box.

- For the first box I did 6/3 and found 2

- For the second box 24/3 = 8

- For the last box 15 x 3 = 45

this isnt my best area so please let me know if I got anything wrong but I think this is correct. Hope this helps!!

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

Answer: D

Step-by-step explanation:

Two hundred two =202

The thousands place is the third place=.002

Answer:

D

Step-by-step explanation: