Evaluate.



2⋅((42)−1)

Uma pay in order to replace her stuff as $1000.

According to the scenario, Uma's possessions worth $5,600 were stolen or destroyed due to the burglary. Since this amount is less than the coverage limit, Uma will be eligible for reimbursement from her insurance policy. However, she will still need to pay the deductible.

To calculate how much Uma will pay to replace her stolen items, we need to subtract the deductible from the total loss. In this case, Uma's total loss is $5,600, and her deductible is $1,000. Therefore, the amount she needs to pay out of pocket is $1,000.

To summarize, Uma's insurance policy will cover the remaining amount after she pays the deductible. In this scenario,

Uma will receive reimbursement for

=> ($5,600 - $1,000) = $4,600

from her insurance company.

She can use this amount to replace her stolen or destroyed possessions.

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Answer:

Plug in the 12 into the x's and find the ordered pair

Step-by-step explanation:

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

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Answer:

$135

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Reeeeeeeeeeeeeeeeeeee

The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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Answer:

56.52 cm³

Step-by-step explanation:

Use the cone volume formula, V = \(\pi\)r²\(\frac{h}{3}\)

If the diameter of the cone is 6 cm, then the radius is 3 cm.

Plug in 3.14 as pi, 3 as the radius, and 6 as the height into the equation:

V = (3.14)(3²)\(\frac{6}{3}\)

V = (3.14)(9)(2)

V = 56.52

So, the volume of the cone is 56.52 cm³

The rate at which the y-coordinate of the jogger is changing is \({-\frac{3}{4}}\) times the rate at which the x-coordinate of the jogger is changing.

Given information:

Radius of the circular track = 75 ft

Coordinates of the jogger: (45, 60)

We know that the coordinates of a point in the Cartesian plane can be represented as (x, y), where x represents the horizontal displacement and y represents the vertical displacement.

Let us now consider a jogger who runs around a circular track of radius 75 ft, with the center of the track being the origin. Therefore, the horizontal and vertical displacements of the jogger will be its coordinates, respectively.

Let us now consider a right-angled triangle with the hypotenuse representing the radius of the circular track, and the vertical and horizontal sides representing the y and x coordinates of the jogger, respectively. Since the radius of the circular track is constant, we can use the Pythagorean theorem to relate x and y.

Since we know that the radius of the track is 75 ft, we can say that:

\(\[x^2 + y^2 = 75^2\]\)

Differentiating with respect to time t, we get:

\(\[\frac{d}{dt}(x^2 + y^2)\)

= \(\frac{d}{dt}(75^2)\]\\\2x \cdot \frac{dx}{dt} + 2y \cdot \frac{dy}{dt} = 0\]\)

Now, since we are given that the jogger's coordinates are (45, 60), we can substitute these values to obtain:

\(\[2(45) \cdot \frac{dx}{dt} + 2(60) \cdot \frac{dy}{dt} = 0\]\)

On solving, we obtain:

\(\[\frac{dy}{dt} = -\frac{3}{4}\cdot \frac{dx}{dt}\]\)

Hence, the rate at which the y-coordinate of the jogger is changing is \({-\frac{3}{4}}\) times the rate at which the x-coordinate of the jogger is changing.

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Answer: 1200 percent increase

Step-by-step explanation:

Increase = New Number - Original Number

divide the increase by the original number and times 100

3.25-0.25=3

3/0.25=12*100

1200 percent

Answer:

It's not possible

Step-by-step explanation:

2.3 + 2.37 + 95 = 99.67 cm        This is gonna be tough to cut from 13.5 cm

maybe it's:

2.3 + 2.37 + 9.5 = 14.17 cm         Not gonna work either

The length of the rope cut off altogether is 7.88 meters.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lengths of 2.3m, 2.37m, and 95cm are cut from a rope of 13.5 m long.

The amount of rope left is calculated as,

Rope = 13.5 - 2.3 - 2.37 - 0.95

Rope = 7.88 meters

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Answer:

(0, 4.5)

Step-by-step explanation:

*The equation can be put into Desmos, to find the point, but the work to prove it is here*

f(x)=c/1+Ae^-Bx

Y=C

C=18      A=3      -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0    y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.

Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:

Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.

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Answer:

it should be two

Step-by-step explanation:

I hope this helps!

Answer: the horizontal cross sections of the prisms at the same height must have the same area

Step-by-step explanation:

The true statement is,The horizontal cross-sections of the prisms at the same height must have the same area.

We have given that the

A pyramid and a cone are both 12 centimeters tall and have the same volume.

Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement,

and it is

The horizontal cross-sections of the prisms at the same height must have the same area

cone and given pyramid are looks like same in two-dimensional.

And also they have the same area.

Therefore option D is correct.

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From the equation 2tanx - 1 = 0, we can find the value of tangent of x as follows:

2tanx - 1 = 0

2tanx = 1

tanx = 1/2

x = arctan(1/2) + nπ, where n is an integer

Now we need to solve √5cosx+4/sin2x, given that cos(x) < 0.

Since cos(x) < 0 and tan(x) = sin(x)/cos(x) = 1/2, we can use the Pythagorean identity to find sin(x):

sin^2(x) + cos^2(x) = 1

sin^2(x) + (-cos(x))^2 = 1

sin^2(x) = 1 - cos^2(x)

sin(x) = -√(1 - cos^2(x))

Substituting this into the expression we want to evaluate:

√5cos(x) + 4/sin^2(x) = √5cos(x) + 4/(-√(1 - cos^2(x)))^2

= √5cos(x) + 4/(1 - cos^2(x))

To simplify this expression further, we can use the identity sec^2(x) = 1 + tan^2(x) to find cos^2(x):

sec^2(x) = 1 + tan^2(x)

1/cos^2(x) = 1 + (1/2)^2

1/cos^2(x) = 5/4

cos^2(x) = 4/5

cos(x) = ±2/√5

Since cos(x) is negative, we have cos(x) = -2/√5.

Substituting this value into the expression we want to evaluate:

√5cos(x) + 4/(1 - cos^2(x)) = √5(-2/√5) + 4/(1 - (-2/√5)^2)

= -2 + 4/(1 - 4/5)

= -2 + 20

= 18

Therefore, the solution to √5cos(x) + 4/sin^2(x) given 2tan(x) - 1 = 0 and cos(x) < 0 is 18.

Answer:

4.666667

Step-by-step explanation:

Answer:

You cant simply it.

Step-by-step explanation:

14/3 is the simplest version of 14/3. If you were looking for decimal form its 4.666667

Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

Answer:

4x + x = 145,                            x=29 (shorter piece)

5x=145

x=145/5 = 29

Step-by-step explanation:

Answer:

C = 21.98 in

Step-by-step explanation:

C = πd,

where C is the circumference, π equals 3.14, and d is the diameter.

C = πd

C = (3.14)(7)

C = 21.98 in

Hope this helps!

Answer:

The factor is 3 (x^2 - 6).

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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you add 78 plus 37 then subtract from 180

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

A and D

Step-by-step explanation:

Answer:

16x = -40

Explanation:

Multiply 2 by 8, which gives you 16, and -5 by 8, which gives you -40.

Answer: The new equation would be: 16x = -40

Explanation: 2x (8)= 16x

-5 (8) = -40

We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

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Answer:

The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

from the question, given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

now, find the how many spins are expected for a multiple of 4 to be spun 30 times.

The multiple of 4 are 8, 12 and 15.

so the number of favourable outcomes be 3.

the total number of outcomes is 15.

Now the

\(probability = 3 \div 5 = 1 \div 5\)

so for 30 times of multiple of 4, we need to the spinner \(5 \times 30 = 150 \: times\)

Therefore,The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

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Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\(\sqrt{2}\) m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\(\sqrt{2}\))^2 + ( 3\(\sqrt{2}\))^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

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Answer:

6m explained it all hope it helps

The percentage of data less than 61 on the box and whisker plot is given as follows:

100%.

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

The metrics for this problem are given as follows:

The problem is given by the image presented at the end of the answer.

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The ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is: b/c = 4b/9c , b/c = 1.125

Jim bought 3 pints of beer and 7 cups of coffee for $14, and the ratio of the price of pints of beer to the price of cups of coffee is 2:3,

To determine the cost of one pint of beer and one cup of coffee, let's solve the system of equations.

                     2b + 3c = 7 (dividing both sides of the equation by 7)

                                    2b/7 + 3c/7 = 1b/3.5 + c/2.333

                  = 1b + 1.5c

                  = 4.666... (dividing both sides of the equation by 3.5)

                              b/3.5 × 4 + c/2.333 × 9

                            = 14b/0.875 + c/0.259

                                       = 14.666...

Therefore, the ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is:

                       b/c = 4b/9c (multiplying both sides by 9c)

                                       b/c = 1.125

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