8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm2

Answer:

$54.50

Step-by-step explanation:

10% = 10/100

=545 × 10/100

=5450/100

=54.5

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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The simple 2D finite difference scheme you described is a common approach for discretizing and solving problems involving partial differential equations or approximating derivatives on a discrete grid.

In a simple 2D finite difference scheme, each point in a matrix is updated by taking a weighted average of its four neighboring points. This scheme is commonly used to approximate the derivatives of a function or solve partial differential equations on a discrete grid.

Let's consider a matrix with indices i and j, where a[i,j] represents the value at point (i,j). The update equation for each point in the matrix can be expressed as:

a[i,j] = w * (a[i-1,j] + a[i+1,j] + a[i,j-1] + a[i,j+1])

In this equation, a[i-1,j], a[i+1,j], a[i,j-1], and a[i,j+1] represent the neighboring points of a[i,j] in the horizontal and vertical directions. The weight factor w determines the contribution of each neighbor in the average. The specific values of the weights will depend on the specific finite difference scheme being used and the problem being solved.

The purpose of this update equation is to propagate information through the grid, allowing for the gradual convergence of values toward a solution. By iteratively applying this update equation to all points in the matrix, the values can be updated and refined over multiple iterations until a desired level of accuracy or convergence is achieved.

It's worth noting that the choice of weights and the specific details of the finite difference scheme can vary depending on the problem being solved and the desired accuracy or stability properties. Different schemes, such as central differences or forward/backward differences, may be used to approximate derivatives or solve different types of equations.

Overall, the simple 2D finite difference scheme you described is a common approach for discretizing and solving problems involving partial differential equations or approximating derivatives on a discrete grid.

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The value of the test​ statistic is - 0.462.

A standard deviation (or) would be a way of measuring of how widely distributed the data has been in relation towards the mean. A low standard deviation indicates that data is grouped around the mean, whereas a high standard deviation indicates that data is more spread out.

The null hypothesis is:

H0 = 0.25

The alternate hypothesis is:

H1 does not equal to 0.25,

the general formula for standard deviation is :-

σ=√1N∑Ni=1(Xi−μ)2 σ = 1 N ∑ i = 1 N ( X i − μ ) 2.

Our test statistic is:

t = (x- u) /s

In which X is the sample mean,  u is the population mean(the null hypothesis),   s is the standard deviation of the sample.

According to question,

x = 23/100

x = 0.23

u = 25/100

u= 0.25

s= √(0.25 * 0.75)/100

s = 0.0433

so for the value of t,

standard deviation = (x - u)/t

so , t=  (x- u) /s

t = (0.23 - 0.25)/0.0433

t = - 0.462

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Answer:

30

Step-by-step explanation:

Answer:

(3,1)is the correct ans

Answer:

(3, 1 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 3, 1 ) → (3, 1 )

Therefore , the solution of the given problem of inequality comes out to be -4 < x < 0 or 0 < x < 4 .

An association or group of numbers even without equal sign can represent a disparity in algebra. Equilibrium is always followed by equity. Inequality occurs when norms are still incompatible. Disparity and fairness have different traits. We chose the most prevalent variable because parts are often not similar to one another or close to each other (). It is also possible to evaluate values using disparities of any size.

Here,

"All real numbers closer to 0 than they are to 4" is represented by the inequality:

=> |x - 0| < |x - 4|

When we simplify this inequality, we obtain:

=> |x| < |x - 4|

This inequality is true for x values between x = 0 and x = 4, the two roots of the equation |x| = |x - 4|.

Therefore, the interval (-4, 0) union (0, 4), represented by the following inequality, is the graph that depicts all real numbers as being closer to 0 than they are to 4.

=> -4 < x < 0 or 0 < x < 4

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The option B because it’s the real numbers closer 0 then they are at 4.

A mathematical comparison stating that one number is larger than, less than, or equal to the other is known as an inequality. Inequalities are written using symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

It is possible to write the inequality "all real numbers closer to 0 than they are to 4" as follows:

\(| x - 0 | < | x - 4 |\)

where |  | represents the absolute value function. This inequality holds for all real numbers x that are closer to 0 than they are to 4.

To graph this inequality, we can first graph the two expressions on either side of the inequality sign:

\(y = | x - 0 | = | x |\)

and, \(y = | x - 4 |\)

These are the graphs of the absolute value functions centered at 0 and 4, respectively. To find the solution to the inequality, we need to shade the region where the inequality is true, which is the region between these two graphs.

So the option B because it’s the real numbers closer 0 then they are at 4.

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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Answer:

6.18%

Step-by-step explanation:

We take

137.50 - 129.50 = $8.00

So, the amount of tax is $8.00

What is the sales tax rate?

We take

8 divided by 129.50, time 100 = 6.18%

So, the sales tax rate is about 6.18%.

The charge on fruit by the store is with tax.

For the stated question-

The price of fruit = $2.0

The price charged by the store = $2.8.

Difference = 2.8 = 2.0 = 0.8

Thus, tax paid

2.0 x %/100 = 0.8

x = 0.8 x 100 / 2

x = 40%

Thus, the price charge by store for the fruit was including tax.

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Answer: 103

Step-by-step explanation:

3(38)-11=103

Answer:

1. 82 2. 82 3. 82 4. 98 5. 123 6. 122 7. 119 8. 60 9. 60 10. 125 11. 35 12. 105

Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

Answer:

Step-by-step explanation:

(8 x 6) x 25 =

48 x 25 =

1200 ft2

Answer: -4.7 degrees Celsius

Step-by-step explanation:

-12.6 + 7.9 = -4.7

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1

Answer:

= 1.223

Step-by-step explanation:

0.409 more than 0.733 means the addition of 0.733 + 0.409

0.733 + 0.409

= 1.223

Approximately to one decimal place = 1.2

la respuesta es b. 9/100

The volume of the solid is (7π - 8√2)/12 cubic units.

To find the volume of the solid enclosed by the cone and sphere in cylindrical coordinates, we first need to express the equations of the cone and sphere in cylindrical coordinates.

Cylindrical coordinates are expressed as (ρ, θ, z), where ρ is the distance from the origin to a point in the xy-plane, θ is the angle between the x-axis and a line connecting the origin to the point in the xy-plane, and z is the height above the xy-plane.

The cone z = x^2 + y^2 can be expressed in cylindrical coordinates as ρ^2 = z, and the sphere x^2 + y^2 + z^2 = 2 can be expressed as ρ^2 + z^2 = 2.

To find the limits of integration for ρ, θ, and z, we need to visualize the solid. The cone intersects the sphere at a circle in the xy-plane with radius 1. We can integrate over this circle by setting ρ = 1 and integrating over θ from 0 to 2π.

The limits of integration for z are from the cone to the sphere. At ρ = 1, the cone and sphere intersect at z = 1, so we integrate z from 0 to 1.

Therefore, the volume of the solid enclosed by the cone and sphere in cylindrical coordinates is

V = ∫∫∫ ρ dz dρ dθ, where the limits of integration are

0 ≤ θ ≤ 2π

0 ≤ ρ ≤ 1

0 ≤ z ≤ ρ^2 for ρ^2 ≤ 1, and 0 ≤ z ≤ √(2 - ρ^2) for ρ^2 > 1.

Integrating over z, we get

V = ∫∫ ρ(ρ^2) dρ dθ for ρ^2 ≤ 1, and

V = ∫∫ ρ(√(2 - ρ^2))^2 dρ dθ for ρ^2 > 1.

Evaluating the integrals, we get

V = ∫0^1 ∫0^2π ρ^3 dθ dρ = π/4

and

V = ∫1^√2 ∫0^2π ρ(2 - ρ^2) dθ dρ = π/3 - 2√2/3

Therefore, the total volume of the solid enclosed by the cone and sphere in cylindrical coordinates is

V = π/4 + π/3 - 2√2/3

= (7π - 8√2)/12 cubic units

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The given question is incomplete, the complete question is:

Use cylindrical coordinates Find the volume of the solid that is enclosed by the cone z = x^2 + y^2 and the sphere x^2 + y^2 + z^2 = 2

The required Lindsey's investment investment worth in four years was $4126.97.

The interest on a deposit that is calculated using both the initial principle and the accrued interest from prior periods is known as compound interest. In other words, compound interest is interest that is earned on interest.

he formula for calculating compound interest is:

A = P * (1 + r/n)^(nt)

where:

A is the end balance (the amount Lindsey's investment will be worth)

P is the principal (the initial amount invested)

r is the annual interest rate as a decimal (6.5% as a decimal is 0.065)

n is the number of times the interest is compounded in a year (in this case, it is compounded annually, so n = 1)

t is the number of years the money is invested for

Substituting the values into the formula:

A = 3250 * (1 + 0.065)^(1 * 4)

A = 3250 * (1.065)^4

A = 3250 * 1.265765

A = 4126.97

So after four years, Lindsey's investment was worth $4126.97.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

-12

1

9

13

Step-by-step explanation:

its just the numbers in front of the variables

Answer:

C?

Step-by-step explanation:

I think it is C but I am not sure.

Answer:

A.

continuous data

Step-by-step explanation:

Function A(n) = 2n is continuous data.

" Discrete data is the data which represents finite number and not related to any other variable. It is isolated."

" Continuous data represents the infinite data and it is obtained by measuring. It is related."

According to the question,

A supermarket sell string beans for $2 a pound.

Function A(n) = 2n

It represents the relation between selling of string beans to the price.

Therefore, it is continuous data.

Hence, function A(n) = 2n is continuous data.

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Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Answer:

air is a type of oxegen that we breath

Step-by-step explanation:

we get air from trees .