(2nd session 2007): A lift of mass 98 kg. , a man of mass m kg. is inside the lift which moves upwards with acceleration 1.4 m./sec? If the tension force in the wire which bears the lift is 192 kg.wt. Find : (1) The value of m (2) The magnitude of the pressure of the man on the floor of the lift​

Answer:

9a-b-2a-10b=7a-11b

Step-by-step explanation:

collect the like terms, meaning add or subtract the numbers from the ones with the same variable(in this case a and b are the different variables)

9a-2a=7a

-b-10b=-11b

therefore, the correct answer is D

Step-by-step explanation:

Well , all you have to do is to collect the like terms bringing those with the same unknown together.

=9a-2a-b-10b

=7a-11b

log base 2 of 63, using the change of base formula, is approximately 5.973.

To find log base 2 of 63 using the change of base formula, we can express it in terms of a different base, such as base 10 or base e (natural logarithm).

Let's use the change of base formula with base 10:

log₂ 63 = log₁₀ 63 / log₁₀ 2

To calculate this value, we need to find the logarithms of 63 and 2 in base 10.

Using a calculator or logarithm table, we find:

log₁₀ 63 ≈ 1.799

log₁₀ 2 ≈ 0.301

Now, we can substitute these values into the formula:

log₂ 63 ≈ 1.799 / 0.301

Dividing these two values, we get:

log₂ 63 ≈ 5.973

For similar questions on base

https://brainly.com/question/30095447

#SPJ11

As per the data Economic Order Quantity is the given equation TC = DC + (Q/2) H + (D/Q) S is 1118 units.

Annual ordering cost per order

The Total Annual Inventory Cost (TC) equation calculates the total cost of maintaining inventory over a given period, typically a year. The equation considers the cost of ordering inventory, holding inventory, and the cost of lost sales due to stockouts.

The equation is as follows: TC = DC + (Q/2) H + (D/Q) S where:

DC is the Annual Demand, the total quantity of products that must be purchased or manufactured to meet customer demand over a given period.

C is the Cost per unit, the cost to purchase or manufacture a single unit of the product.

H is the Annual holding cost per unit, the cost of storing inventory for a given period. This cost includes storage fees, insurance, and the opportunity cost of using funds that could have been invested elsewhere.

S is the Annual ordering cost per order, the cost of placing an order for inventory, including shipping fees and the cost of preparing the order.

Q is the Economic Order Quantity, the optimal order quantity that minimizes the total cost of ordering and holding inventory.

The first part of the equation, DC, calculates the cost of purchasing the necessary inventory to meet demand. The second part of the equation, (Q/2) H, calculates the cost of holding inventory. The third part of the equation, (D/Q) S, calculates the cost of placing orders for inventory.

If the question asks calculate EOQ, then

Annual Demand = 15,000 units

Unit Cost = $10

Holding Cost = 0.30 or 30% of unit cost per unit per year

Cost to place order = $125D = 15,000H = (0.30) (10) = 3C = 10S = 125

EOQ= √ (2(125) (15,000)/ (3) =1118 UNITS

Thus, Economic Order Quantity is 1118 units.

To learn more about equations,

Visit; brainly.com/question/10413253

#SPJ4

Answer:

15 members

Step-by-step explanation:

The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

Learn more about binomial distributions

brainly.com/question/29163389

#SPJ11

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

Step-by-step explanation:

When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.

Answer:

1/7

Step-by-step explanation:

Answer:

The probability of flipping tails is 1/2

Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

To learn more about Product cost scenario visit: https://brainly.com/question/28294479

#SPJ11

The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

More can be learned about area of composite figures at brainly.com/question/10254615

#SPJ1

Based on the provided question, the equation that could be represented by the number line is option C: -6+(-8)=-14.

To represent an equation on a number line, we need to find the value that satisfies the equation and mark it on the number line.

Let's consider each option and find the value that satisfies the equation:

A. -8+7=-1

-8 and 7 are integers, and their sum is -1. This equation does not have a solution on the number line, as there is no point on the number line that corresponds to -1 when adding -8 and 7.

B. 7+ (-5)=-2

7 and -5 are integers, and their sum is 2. To get -2, we need to add another -4. Therefore, the solution is -2, which can be represented on the number line.

C. -6+(-8)=-14

-6 and -8 are integers, and their sum is -14. Therefore, the solution is -14, which can be represented on the number line.

D. -8+(-7)=-15

-8 and -7 are integers, and their sum is -15. Therefore, the solution is -15, which can be represented on the number line.

Based on the above analysis, the equation that could be represented by the number line is option C: -6+(-8)=-14.

To know more about number line, visit:https://brainly.com/question/24644930

#SPJ1

134.84 percent.

Just divide 384 by the other number

Answer:

see explanation

Step-by-step explanation:

(a)

To evaluate f(5) substitute x = 5 into f(x), that is

f(5) = 2(5) - 1 = 10 - 1 = 9

(b)

To evaluate g(x - 2) substitute x = x - 2 into g(x), that is

g(x - 2)

= (x - 2)² + x - 2 + 1 ← expand (x - 2)² using FOIL

= x² - 4x + 4 + x - 2 + 1 ← collect like terms

= x² - 3x + 3

Answer:

The roots are

\(x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i\)

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

\(x=\dfrac{-16\pm\sqrt{16^2-4(4)(25)} }{2(4)}\)

\(x=\dfrac{-16\pm\sqrt{256-400} }{8}\)

\(x=\dfrac{-16\pm\sqrt{-144} }{8}\)

\(x=\dfrac{-16\pm12 \ i}{8}\)

Separate the real and imaginary parts

That's

\(x=\dfrac{-16}{8}\pm\dfrac{12}{8} \ i\)

\(x=-2\pm\dfrac{3}{2} \ i\)

We have the final answer as

\(x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i\)

Hope this helps you

Answer:

V

Step-by-step explanation:

The conclusion from the test of significance is that we h0 is rejected

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

p value, p = 0.008

Using the significance level of 0.05, we have

α = 0.05

By comparing the p value and the significance level, we have

α > p value

This means that we reject the null hypothesis

Hence, the conclusion is that we h0 is rejected

Read more about test of hypothesis at

https://brainly.com/question/14701209

#SPJ1

The axis of symmetry of the quadratic function for this problem is given as follows:

x = -1.

Considering a quadratic function with equation y = ax² + bc + c, the line of symmetry is defined as follows:

L: x = -b/2a.

The line of symmetry is the x-coordinate of the vertex of the function (turning point on the graph).

The coordinates of the vertex are given as follows:

(-1, -1).

Hence the line of symmetry is given as follows:

x = -1.

The problem asks for the axis of symmetry of the quadratic function.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

The chi-square test statistic to test the relationship between the gender and participation in the last election is 112.72

We will apply chi-square test statistic.

Null hypothesis,  H0 : there is no relationship between the gender and participation in the last election.

Alternative hypothesis,  H1 : there is relationship between the gender and the participation in the last election.

  CLASS                       Observed(f)      expected(e)     (fi – ei)       (f-e)^2/e              

Male voted                       2344               2091.03          252.97        30.60

Male didn’t voted              1311                 1563.97        -252.97         40.92

Women voted                   3377               3629.97        -252.97        17.63

Women didn’t voted        2968               2715.03         -252.97        23.57

               χ^2 = Σ(f-e)^2/e = 30.60+40.92+17.63+23.57

               χ^2  =  112.72

Hence the test statistic is

                                χ^2  =  112.72

Learn more about chi-square test here :  https://brainly.com/question/17142834

#SPJ4

Answer:

m = -5

Step-by-step explanation:

solve for x.

FILLER

Answer: a

Step-by-step explanation:

The two lines are perpendicular to each other. Perpendicular lines intersect at a right angle, and they have opposite reciprocal slopes.

If one line has a slope of m₁ = and another has a slope of m₂ = -3, we can determine that the lines are not horizontal. This is because a horizontal line has a slope of zero, and neither of the given slopes are zero. However, we can determine that the lines are perpendicular.

This is because two lines are perpendicular if and only if the product of their slopes is -1. In this case, m₁ * m₂ = ( ) * (-3) = -3, which satisfies the condition of the product of slopes being -1. Therefore, we can conclude that the two lines are perpendicular to each other. Perpendicular lines intersect at a right angle, and they have opposite reciprocal slopes. This information can be useful when solving problems involving the two lines, such as finding the point of intersection or determining the equations of the lines.

To know more about reciprocal slopes refer to

https://brainly.com/question/1675115

#SPJ11

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

Answer: \(\frac{3}{4}\)

Step-by-step explanation:

The equation is in the slope-intercept format of y=mx+b

In this format the slope is m

In this case m is \(\frac{3}{4}\)

Answer:

1/4

1/3

Step-by-step explanation:

If one number is odd, then the other number must also be odd in order for the sum to be even.  There are 3 odd numbers per dice, so the probability is (3/6)² = 1/4.

If one number is 6, the other number must be 1 or 2 for the product to be at most 15.  The probability is 2/6 = 1/3.

Answer:

<4

Step-by-step explanation:

Answer:

$2.94

Step-by-step explanation:

You multiply 6 and .49 and you get $2.94

Answer:

7.07106781187

Step-by-step explanation:

Let us use the  distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

x2=2

x1=7

y2=4

y1=9

\(d = \sqrt{(2 - 7)^{2} + (4-9)^2}\)

\(d = \sqrt{(-5)^2 + (-5)^2}\)

\(d = \sqrt{25 + 25}\)

\(d = \sqrt{50}\)

d=7.07106781187 (round to whatever digit neccesary)

Hope this helps!!

Answer:

im trying to figure out give me like 3 minutes

Step-by-step explanation:

We can observe that f(-1) < f(0) since e" - e < e". Since f(x) is increasing, any x1 < x2 will satisfy f(x1) < f(x2). Therefore, we have proven that the function f(x) = e" + x2n+1 is increasing for any non-negative integer n.

To prove that the function f(x) = e" + x2n+1 is increasing, we need to show that for any two values of x, say x1 and x2, where x1 < x2, the corresponding values of f(x1) and f(x2) satisfy f(x1) < f(x2).

To begin, let's calculate the derivative of f(x) with respect to x and show that it is always positive. Taking the derivative of f(x) gives:

f'(x) = (e" + x2n+1)'

= (0 + (x2n+1)') [since the derivative of e" is zero]

= (2n+1)x2n

= (2n+1)x^(2n)

We can see that the derivative f'(x) is positive for any non-negative value of x since (2n+1) is always positive.

Next, let's evaluate f(-1) and f(0) to illustrate the increasing nature of the function.

For f(-1):

f(-1) = e" + (-1)^(2n+1)

= e" - 1

= e" - e^0 [since e^0 = 1]

= e" - e

For f(0):

f(0) = e" + 0^(2n+1)

= e" + 0

= e"

We can observe that f(-1) < f(0) since e" - e < e". Since f(x) is increasing, any x1 < x2 will satisfy f(x1) < f(x2).

Therefore, we have proven that the function f(x) = e" + x2n+1 is increasing for any non-negative integer n.

The complete question is as follows:

Question 8(Bonus Question: 20 extra points) Consider the equation \(e^{x}\) + x2n+1 = 0, where n is a non-negative integer. 1. Prove that the function f(x) = \(e^{x}\) + x2n+1 is increasing.

2. Compute f(-1) and f(0), then prove that the function f(x) = 0 has a unique solution, which is denoted by an.

To know more about derivatives, visit the link : https://brainly.com/question/30396691

#SPJ11

===============================================

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

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

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles