Help me with this pleassssseeeedeeeeeeee..

The velocity of the car is given as follows:

2.83 m/s.

The kinetic energy is obtained as half the multiplication of an object's mass by the velocity squared of the object, that is:

K = 0.5mv².

The parameter values for this problem are given as follows:

K = 40000, m = 10000.

Hence the velocity of the car is obtained solving the equation for v as follows:

40000 = 0.5 x 10000v²

5000v² = 40000

v² = 8

v = square root of 8

v = 2.83 m/s.

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The largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we need to evaluate the function f(x) = ∫\(x^6\) f(t) dt for each given value of x.

The given function represents the indefinite integral of f(t) with respect to t, where f(t) is the function whose graph is given.

The integral represents the area under the curve of f(t) from 0 to \(x^6\). By evaluating the integral at different values of x, we can find the corresponding values of F(x).

Since the function f(t) is not specified, we cannot determine the exact values of F(0), F(3), F(6), F(9), and F(12) without additional information.

The values of F(x) depend on the specific form and properties of f(t).

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we would need to know the function f(t) and evaluate the integral at each specific value of x.

Without further information, it is not possible to determine which of the given values is the largest.

In summary, the largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

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The solution to this system of equations is dependent.

Dependent matrix is a matrix where one or more rows can be expressed as a linear combination of the other rows. This means that the rows are not linearly independent, and there is redundancy in the information they provide.

A dependent matrix has less than full rank, which means that the rank of the matrix is less than the number of rows or columns. In a dependent matrix, one or more variables can be expressed in terms of the other variables, and the system of equations represented by the matrix has infinitely many solutions.

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Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Step-by-step explanation:

Hello,

Let's say a the  first term and r the ratio  of the G.P.

\(u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\\)

The value of the investment after 2 years = $4127.75, after 4 years = $4871.95, and after 6 years = $5740.77

To calculate the value of the investment after a certain number of years when it is compounded continuously, we can use the formula:

\(\[A = P \cdot e^{rt}\]\)

Where:

A = Final amount (value of the investment)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Provided:

P = $3500

r = 8.25% = 0.0825 (as a decimal)

(a) After 2 years:

\(\[A = 3500 \cdot e^{0.0825 \cdot 2}\]\)

Calculating this expression, we have:

\(\[A = 3500 \cdot e^{0.165} \\\approx 3500 \cdot 1.1793 \\\approx 4127.75\]\)

Hence, after 2 years, the value of the investment would be approximately $4127.75.

(b) After 4 years:

\(\[A = 3500 \cdot e^{0.0825 \cdot 4}\]\)

Calculating this expression, we have:

\(\[A = 3500 \cdot e^{0.33} \\\approx 3500 \cdot 1.3917 \\\approx 4871.95\]\)

Hence, after 4 years, the value of the investment would be approximately $4871.95.

(c) After 6 years:

\(\[A = 3500 \cdot e^{0.0825 \cdot 6}\]\)

Calculating this expression, we have:

\(\[A = 3500 \cdot e^{0.495} \\\approx 3500 \cdot 1.6402 \\\approx 5740.77\]\)

Hence, after 6 years, the value of the investment would be approximately $5740.77.

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The true statement is: 15 ounces < 1 pounds.

Pounds is a unit of measurement used to quantify mass or weight. It is commonly abbreviated as "lb" or "lbs". The pound is the unit of mass or weight in the customary system of measurement used primarily in the United States and some other countries. One pound is equivalent to 0.453592 kilograms (kg) in the metric system.

To see why this is true, we need to know that there are 16 ounces in 1 pound. So, 15 ounces is less than 1 pound because:

15 ounces / 16 ounces per pound = 0.9375 pounds

0.9375 pounds < 1 pound

The other statements are false:

28 ounces > 2 pounds

28 ounces / 16 ounces per pound = 1.75 pounds

1.75 pounds is greater than 2 pounds, so this statement is false.

42 ounces > 3 pounds

42 ounces / 16 ounces per pound = 2.625 pounds

2.625 pounds is greater than 3 pounds, so this statement is false.

64 ounces < 4 pounds

64 ounces / 16 ounces per pound = 4 pounds

4 pounds is equal to 4 pounds, so this statement is also false.

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Answer:

-4y - 7

Step-by-step explanation:

−4y−4+(−3)

Combine like terms

-4y - 7

Answer:

5

Step-by-step explanation:

y= 4+ 4 - 3

Then the probability of randomly choosing a student with one sibling is:

P =  0.42

To get this probability, we need to take the quotient between the number of students that have a sibling and the total number of students.

On the table we can see that there are:

2 + 7 + 4 + 13 = 26 students in total.

And of these, the ones that have one sibling are:

7 students with only one sister

+

4 students with only one brother.

7 + 4 = 11

Then the probability of having one sibling is:

P = 11/26 = 0.42

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In addition to decreasing , solubility, and permeability, cross-linking improves polymer strength, stiffness, and temperature resistance.

The process of creating chemical linkages between polymer molecules to form a three-dimensional network is known as cross-linking. The polymer is stronger and more rigid thanks to this network of molecules, which also boosts its resistance to heat and chemicals. In addition to increasing the polymer's durability and resistance to environmental changes, cross-linking also decreases the polymer's flammability, solubility, and permeability. The polymer becomes more stable and less prone to deformation as a result of cross-linking, which also raises the melting point of the polymer. A polymer's characteristics can be modified by cross-linking to fit the needs of certain applications. For instance, cross-linking might be to boost a polymer's strength to satisfy. For example, cross-linking can be employed to make a polymer stronger to fulfil the demands of a particular application or less flammable to make it safer to use. In a variety of sectors, cross-linking is a crucial component of polymer chemistry and polymer engineering.

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Equation of eclipse

\(\\ \tt\longmapsto \dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1\)

If y comes to first in above then it becomes hyperbola .

Now the answers are

Answer:

Answer at the bottom!!

Step-by-step explanation:

Given the diameter of cylinder = 1.4 m

=> Radius = 1.4/2 = 0.7 m

We know that volume of a cylinder = πr²h

= 3.14 x 0.7² x 2.1= 3.23 m³

For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m

water flows at a rate of 2 m per second

So, volume of water discharged in one second by pipe = πr²L

= 3.14 x 0.0175² x 2=0.0019

Hence time taken by the pipe to fill the cylinder

= 3.23/0.0019= 1700 sec

= 28 minutes and 20 seconds

Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

Hope this helps!!

Answer:

\(-4(16-18)\), \([16 + (-18)](-4)\)

Step-by-step explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday = \((16-18)\°F\)

Temperature on Wednesday = \(-4(16-18)\°F\)

So, expression \(-4(16-18)=(16-18)(-4)\) can be used to describe the low temperature on Wednesday.

Also,

\((16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}\)

So, expression \([16 + (-18)](-4)\) also represent temperature on Wednesday.

Answer:

(16 – 18)(–4)

[16 + (–18)](–4)

Step-by-step explanation: Answers for Edge

Answer:

d

Step-by-step explanation:

Classical approach traces back to the field where probability was first systematically employed, which is gambling (flipping coins, tossing dice and so forth). Gambling problems are characterized by random experiments which have n possible outcomes, equally likely to occur. It means that none of them is more or less likely to occur than other ones, hence they are said to be in a symmetrical position.

The standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

To formulate the given linear programming problem in standard form for the simplex method, we need to introduce slack variables and convert all inequalities into equality constraints. Here's the formulation:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

Introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equality constraints.

The objective function remains the same since it does not have any coefficients associated with decision variables.

The first inequality constraint becomes an equality by introducing s₁ and s₂ as slack variables.

The second inequality constraint becomes an equality by introducing s₃ as a slack variable.

All decision variables (x₁, x₂) and slack variables (s₁, s₂, s₃) are non-negative.

Therefore, the standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

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Answer:

(-6, 2)

Step-by-step explanation:

\(M=\left(\frac{-8-4}{2}, \frac{-6+10}{2} \right)=(-6, 2)\)

Answer:X=3

y= -4

Step-by-step explanation:

If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.

so solving for x, 4x=12--> x=3, since y=0 in this scenario.

Solving for y, x=0, so -3y=12--> y=(-4)

9514 1404 393

Answer:

  see below for a table

Step-by-step explanation:

You can easily identify intercept points by solving for one variable when the other is zero.

x-intercept (y=0)

  4x = 12

  x = 12/4 = 3

y-intercept (x=0)

  -3y = 12

  y = 12/-3 = -4

So, the coordinate pairs of these points are ...

  (3, 0) and (0, -4)

__

If you solve for y, you get ...

  -3y = 12 -4x

  y = (4/3)x -4 . . . . . divide by -3

This suggests that x being a multiple of 3 will be useful for finding integer values of y.

We already have points for x=0 and x=3. We can add points for x=6 and x=-3.

  y = 4/3(6) -4 = 4

  y = 4/3(-3) -4 = -8

So, the additional points are ...

  (6, 4) and (-3, -8)

Point estimate from the sample is 0.985, margin error is 0.003.

Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.

(a) To calculate point estimate or sample mean :

Point estimate is the mid point of the confidence interval.

Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.

Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985

(b) Margin error is the one half of the total width of the interval.

Margin error = (0.988 - 0.982) / 2 = 0.003

(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.

Hence the point estimate and margin error are 0.985 and 0.003 respectively.

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Answer:

D

Step-by-step explanation:

Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else

23 im pretty sure lol

Step-by-step explanation: If not im sorry i couldn't help and have a good day lol

Answer:

y = - 6x + 2

Step-by-step explanation:

Step 1:

6x + y = 2         Equation

Step 2:

y = 2 - 6x        Subtract 6x on both sides

Answer:

y = - 6x + 2

Hope This Helps :)

Hello there! :)

6x+y=2

To solve for y, we must move all the other terms to the other side. Use the opposite operation.

6x-6x+y=2-6x

y=2-6x

Hope this helps you! :)

~Just a felicitous girl

#HaveAnAwesomeDay

\(SilentNature\)

Answer:

Monthly budget = $4444.44

Step-by-step explanation:

Let the monthly budget of Edwards family = x dollars

18% of monthly budget spends on groceries

Hence,

18% of x = 800

\({\dfrac{ 18 }{ 100 } \times x = 800}\)

\(\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}\)

\(100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100\)

\(\mathrm{Simplify}\)

\(18x = 80000\)

\(\mathrm{Divide\:18\:from\:both\:sides}\)

\(\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }\)

\(x = 4444.444444444\)

Rounded to the nearest cent: $4444.44

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Let "p" be the number of week taken.

Line Backer is already 285 and gaining 2 lb per week [p].

Thus, his equation would be:

Center is already 310 and losing 3 lb per week [p].

Thus, his eaquation would be:

The linebacker wants to weight no less, that means equal or greater. Thus, the inequality to represent the situation would be:

The correct answer is "A"

Answer:

75

Step-by-step explanation:

if u follow 1 from the bottom line straight up, u will get 75

1-a. The present value of option 1 is $30,000 and the present value of option 2 is approximately $31,745.15. 1-b. Option 1 gives Denzel the lower cost.

The present value of an investment is the current value of future cash flows, taking into account the time value of money. To calculate the present value in this scenario, we need to determine the value of each payment option.

For option 1, Denzel pays $30,000 today. Since there are no future cash flows, the present value is simply $30,000.
For option 2, Denzel pays $3,000 at the end of each quarter for three years. To calculate the present value, we need to discount each future cash flow using the discount rate of 3% per quarter.

We can use the formula for calculating the present value of an annuity:
PV = C * [(1 - (1 + r)^(-n)) / r]

Where:
PV = Present value
C = Cash flow per period
r = Discount rate per period
n = Number of periods

In this case, C = $3,000, r = 3% per quarter, and n = 12 quarters (3 years * 4 quarters per year). Plugging these values into the formula, we get:
PV = $3,000 * [(1 - (1 + 0.03)^(-12)) / 0.03]

Calculating this, we find that the present value of option 2 is approximately $31,745.15.
Therefore, the present value of option 1 is $30,000 and the present value of option 2 is $31,745.15.
To determine which option gives Denzel the lower cost, we compare the present values. Option 1 has a lower present value of $30,000 compared to option 2's present value of $31,745.15. Therefore, option 1 gives Denzel the lower cost.

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Answer:

Amy puede hacer 4 conjuntos.

Step-by-step explanation:

La solución sería

Se sabe que un conjunto de vestir se compone de camisa o blusa, pantalones, zapatos y cinturones, aunque este ultimo es opcional.

Lo que haremos es esto, empezamos a coger una pieza de cada prenda para armar un conjunto.

Primer conjunto:

1 blusa, 1 pantalón, 1 cinturón, y 1 par de zapatos.

Y esto quedaría así: 3 pantalones, 6 blusas, 1 cinturón y 4 pares de zapatos.

Segundo conjunto:

1 blusa, 1 pantalón, 1 cinturón y 1 par de zapatos.

Esto quedaría así: 2 pantalones, 5 blusas, 0 cinturones, 3 pares de zapatos. Sabemos que el cinturón es opcional, así que podemos continuar.

Tercer conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 1 pantalón, 4 blusas, 0 cinturones y 3 pares de zapatos.

Cuarto conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 0 pantalones, 3 blusas, 0 cinturones y 2 pares de zapatos. Como en un conjunto el pantalón es prioridad, al no tener más pantalones los conjuntos quedarían hasta aquí.

¡Recuerda!

No es lo mismo organizar tu ropa en conjuntos, a que hagas variaciones con ella.

The slope of the line above include the following: 1/5.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (3 - 0)/(7 + 8)

Slope (m) = (3)/(15)

Slope (m) = 1/5.

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 1/5.

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