33 + 78 + 23 + 21 + 98 + 32 = ???

The total volume of glass that makes up the globe to the nearest hundredth is equal to 12,771.71 cubic centimeters.

Mathematically, the volume of a sphere can be calculated by using this mathematical expression:

Volume = 4/3 × πr³

Where:

r represents the radius.

Based on the information provided about the globe, the diameter of the hollow sphere is given by;

Diameter of sphere = 30 cm

Radius = diameter/2 = 30/2 = 15 cm.

Actual radius = 15 cm - 0.5 cm = 14.5 cm.

Substituting the given points into the volume of a sphere formula, we have the following;

Volume of sphere = 4/3 × 3.142 × 14.5³

Volume of sphere = 12,771.71 cubic centimeters.

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Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

prime

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Answer:

the number 13 is a prime number

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Answer:

                             ‎‎‎                  ‎‎‎‎‎‎‎       ‎‎‎

Answer:

12

Step-by-step explanation:

Just divide 36 by 3 and you get 12.

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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The length of the rectangle piece of wrapping paper is 9 cm.

The perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two.

From the question, we have that the ratio of the length to the breadth of a rectangle piece of wrapping paper is 3:2, if the perimeter is 40 cm, the length can be calculated for as follows:

let the common ratio be x, so that we have;

length = 3x cm

breadth = 2x cm

thus;

perimeter = 2×(length + breadth)

2 × (3x + 2x) = 30

2(5x) = 30

10x = 30 {divide through by 10}

x = 30/10

x = 3

Therefore, the length of a rectangle piece of wrapping paper is 3(3) cm = 9cm.

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Possible question

The ratio of the length to the breadth of a rectangle piece of wrapping paper is 3:2. If the perimeter of the rectangle piece of wrapping paper is 30 cm, then, what is it's length?

9514 1404 393

Answer:

  v = m/d

Step-by-step explanation:

Multiply by v and divide by d.

  d = m/v . . . . . given

  vd = m . . . . .  multiply by v

  v = m/d . . . . . divide by d

_____

Additional comment

You can do both operations at once: multiply by v/d. This effectively switches the places of v and d in the given equation.

Answer:

dV

Step-by-step explanation:

The amount of stuffing the pillow can contain is the volume of the pillow, which is V = Bh

Pudge has a pillow that is 13 centimetres high, 55 centimetres long and 40 centimetres wide.

Therefore, the pillow is a rectangular prism.  The amount of stuffing the pillow can contain is the volume of the pillow.

Therefore,

volume of the pillow = base area × height

Therefore,

volume of the pillow =  Bh

where

Therefore, the correct formula to find the amount of stuffing it can contain is V = Bh

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Answer:

Step-by-step explanation:

HCF of 42,72 and 90

=6

LCM of 42,72 and 90

=2520

2520 x 6 = 15120

=15120

The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Respuesta:

x = 47

Explicación paso a paso:

Necesitamos resolver x en este problema.

\(x+4x=235\)

Combinar los términos x juntos
\(5x=235\)

Divide 5 en ambos lados

\(x=47\)

Nuestra respuesta es 47

Answer:

c

Step-by-step explanation:

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

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Answer:

the answer is 18 thanks to ask help

Answer:

displacement x = - 0.046sin4t +0.006cos4t

Step-by-step explanation:

The model of the equation of motion is a forced motion equation and to determine the displacement of the weight as a function of time; we have:

the weight balances of the  elastic force in the spring  to be expressed by the relation:

mg = kx

where;

x=4 in (i.e  1/3 ft )

mass m = 6lb

let make k the subject; then:

k = mg/x = 6×32/(1/3) = 576

assuming  x to be the displacement form equilibrium;

Then;

\(F = 27sin 4t-3cos4t +k(x+1/3) - mg -3v\)

(since F(t)=27sin 4t-3cos4t somehow faces downwards, mg=downwards and k(x+1/3)= upwards and medium resistance 3v =  upwards)

SO;

\(d2x/dt2 = 27sin 4t-3cos4t +kx - 3dx/dt\)

\(d2x/dt2 +3dx/dt - 576x = 27sin 4t-3cos4t\)

Assuming : \(x = asin4t + bcos4t\)

\(dx/dt = 4acos4t - 4bsin4t\)

\(d2x/dt2 = -16asin4t - 14bcos4t\)

replacing  these values in the above equation

\(= -16asin4t - 14bcos4t + 12acos4t - 12bsin4t -576asin4t-576bcos4t = 27sin 4t-3cos4t\)

\(= sin4t (-592a-12b) + cos4t(12a -590b) = 27sin 4t-3cos4t\)

equating sin and cos terms

a = - 0.046 ;  b = 0.006

displacement x = - 0.046sin4t +0.006cos4t

The table that shows a proportional relationship between x and y is:

C. x 1 5 8 10 y 15 75 120 150

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of that constant.

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.

In this case, the constant based on the information will be:

= 15 / 1

= 15

Also when x is 5, y will be:

= 5 × 15.

= 75..

The correct option is C.

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Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Answer:

18 ways

Step-by-step explanation:

The computation of the number of ways that could be choose your dinner as follows:

= 3 meat choices × 3 vegetable choices × 2 desserts

= 18 ways

By multiplying all the three things we can determined the number of ways

Answer:

8.50 cm²

Step-by-step explanation:

The dimension of each square is given as 0.5cm by 0.5cm

The area of the a square is, a²

Where, a = side length

Area of each square = 0.5² = 0.25cm

The number of blue colored squares = 34

The total area of the blue colored squares is :

34 * 0.25 = 8.50cm²

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

<95141404393>

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

x ≈ 32.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin48° = \(\frac{opposite}{hypotenuse}\) = \(\frac{24}{x}\) ( multiply both sides by x )

x × sin48° = 24 ( divide both sides by sin48° )

x = \(\frac{24}{sin48}\) ≈ 32.3 ( to 1 dec. place )

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Answer:

The one u highlighted is correct. C.

Step-by-step explanation:

If u substitute -2 to 2x, it is -4. then substitute the second one -2 to-5y, it is +10. -4+10=6. Then for the second thing. Substitute 1 to 2x which is 2*1=2. Then substitute-4/5 to -5y which is +4. 2+4=6.

Answer:

30x

Step-by-step explanation:

Answer:

30x

Step-by-step explanation:

a negative multiplied by a negative is positive.

-5x x -6 =30x

Hope I helped!