How many times 0.25 can be
subtracted from 5 ?​

The surface area of the cylinder is approximately 401.92 square centimeters. To find the surface area of the cylinder, we need to add the area of the top and bottom circles to the area of the lateral surface.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π ≈ 3.14.

Given that the radius is 8 cm and the height is also 8 cm, we can plug in the values in the formula:

SA = 2π(8²) + 2π(8)(8)

SA = 401.92

Rounding to the nearest hundredth, we get:

SA ≈ 401.92 square centimeters

Therefore, the surface area of the cylinder is approximately 401.92 square centimeters.

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To find the marginal probability mass function of x and y, we sum f(x, y) over the values of y and x, respectively. For x = 1, we have f(1,0) = 0 and f(1,1) = 1/8, so the marginal probability mass function of x is given by:

f(x) = Σ f(x,y) = f(1,0) + f(1,1) + f(2,0) + f(2,1) = 0 + 1/8 + 0 + 2/8 = 3/8

Similarly, for y = 0, we have f(1,0) = 0 and f(2,0) = 2/8, so the marginal probability mass function of y is given by:

f(y) = Σ f(x,y) = f(1,0) + f(1,1) + f(2,0) + f(2,1) = 0 + 1/8 + 2/8 + 1/8 = 1/2

The expected value of x is given by:

E[X] = Σ x f(x) = 1(3/8) + 2(5/8) = 1.625

The expected value of y is given by:

E[Y] = Σ y f(y) = 0(1/2) + 1(1/2) = 0.5

The covariance between x and y is given by:

Cov[X,Y] = E[XY] - E[X]E[Y]

We can find E[XY] by summing xyf(x,y) over all values of x and y:

E[XY] = Σ Σ xy f(x,y) = 1(0) + 1(1/8) + 2(0) + 2(2/8) = 1/2

Substituting in the values we have found, we get:

Cov[X,Y] = E[XY] - E[X]E[Y] = (1/2) - (1.625)(0.5) = -0.25

Therefore, the covariance between x and y is -0.25.

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To calculate the value of the labor-saving device, we need to determine the present value of the future cash flows generated by the device.

Given:

Device life: 9 years

Monthly savings: $1,000

Salvage value at the end: $11,000

Interest rate: 10.5% compounded monthly

Step 1: Calculate the present value of the monthly savings.

The savings occur at the end of each month, so it forms an ordinary annuity. We can use the formula for the present value of an ordinary annuity:

PV = C * (1 - (1 + r)^(-n)) / r

Where:

PV is the present value

C is the cash flow per period ($1,000)

r is the interest rate per period (10.5% / 12 months = 0.00875)

n is the number of periods (9 years * 12 months = 108 months)

Using these values, we can calculate the present value of the monthly savings:

PV_savings = $1,000 * (1 - (1 + 0.00875)^(-108)) / 0.00875

Step 2: Calculate the present value of the salvage value at the end of 9 years.

Since the salvage value occurs at the end of the device's life, it is a single future amount. We can calculate its present value using the formula for the present value of a single amount:

PV = FV / (1 + r)^n

Where:

PV is the present value

FV is the future value ($11,000)

r is the interest rate per period (10.5% / 12 months = 0.00875)

n is the number of periods (9 years * 12 months = 108 months)

Using these values, we can calculate the present value of the salvage value:

PV_salvage = $11,000 / (1 + 0.00875)^108

Step 3: Calculate the total present value of the device.

The total present value is the sum of the present values of the monthly savings and the salvage value:

Total PV = PV_savings + PV_salvage

Calculate the individual present values using the formulas above and then sum them up to find the total present value.

Finally, add the present values of the monthly savings and the salvage value to find the total present value of the device.

Please note that these calculations assume a constant interest rate over the 9-year period.

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Answer:

4 number x value is 10 in

5 number x value is 12mi

use formula of h2=p2+b2

Answer:

Bill is 36

Step-by-step explanation:

Bill, Paul, and Milo are represented as b, p, m

b = 15+p; p = 1/2m + 7; b + p + m = 85

b = 36, m = 28, p = 21

Therefore Bill is 36 y/o

Answer:

Step-by-step explanation:

Let Milo's age = x

\(Paul's \ age =\dfrac{1}{2}x+7\\\\\\Bill's \ age = \dfrac{1}{2}x + 7 +15 =\dfrac{1}{2}x+22\)

Sum of all three ages = 85

\(x +\dfrac{1}{2}x+7 +\dfrac{1}{2}x+22 = 85\\x +\dfrac{1}{2}x+\dfrac{1}{2}x+7+22 =85\\2x+29=85\\ 2x = 85-29\\\\ 2x = 56\\\\ x = \dfrac{56}{2}\\\\x =28 \ years\\\\\\Bill's \ age =\dfrac{1}{2}x+22 =\dfrac{1}{2}*28+22\\\\\\= 14+22\\\)

Bill's age = 36 years

Answer:

50 and 80

Step-by-step explanation:

two numbers are in ratio 5;8 which  is 5x + 8x

sum = 130

5x  + 8x  = 130

13x = 130   ( divide both sides by 13)

x = 10

to find the two numbers we multiply by x

5x  = 5 x 10   = 50

8x  =  8  x 10  = 80

Answer

f^-1(x) =√[(3-x)÷3]

Step-by-step explanation:

y=-3x^2+3

interchange 'y' with 'x'

x=-3y^2+3

make y the subject

3y^2=3-x

divide by '3' both sides

y^2=(3-x)÷3

apply square root both sides

√(y^2)=√[(3-x)÷3]

y=√[(3-x)÷3]

f^-1(x) =√[(3-x)÷3]

the inverse of the given function is

f^-1(x)=√[(3-x)÷3]

Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.

To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:

Discount Factor = 1 / (1 + Rate of Return)

Substituting the rate of return of 6 percent (0.06) into the formula:

Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434

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Answer:

B

Step-by-step explanation

f(x)=x2-4x-5

Becomes

f(x)=x2-5x+x-5

Take out the common factor

f(x)=(x-5)(x+1)

Equate the given function equal to 0

0=(x-5)(x+1)

And then

x-5=0 -- x=5

x+1 = 0 == x=-1

Answer:

B

Step-by-step explanation:

we are given a quadratic function

we want to figure out the form which we don't need change

so according to the question

\( \displaystyle{x}^{2} - 4x - 5 = 0\)

rewrite -4x as x-5x:

\( \displaystyle{x}^{2} + x - 5x- 5 = 0\)

factor out x:

\( \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0\)

factor out -5:

\( \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0\)

group:

\( \displaystyle \: (x + 1 )(x - 5)= 0\)

hence our answer is B

Answer:

$40.41

Step-by-step explanation:

Answer:

The radius of each circle is 2.5 units

Step-by-step explanation:

Width of the rectangle = 15 units

Height of the rectangle = 10 units

6 identical circles fit inside the rectangle,

Two circles fit along the height of the rectangle.

Therefore, diameter of both the circles = Height of the rectangle

2d = 10

d = 5

Since, radius of a circle = \(\frac{\text{Diameter}}{2}\)

                                       = \(\frac{5}{2}\)

                                       = 25. units

Therefore, Option (4) will be the correct option.

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The length of segment RS is,

⇒ RS = 13.8 units

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Here, We have to given that;

A line segment RS is shown in figure.

Since, The coordinate of R is,

R = (- 3, - 4)

And, The coordinate of S is,

S = (1, 9)

Hence, The length of segment RS is,

RS = √ (x₂ - x₁)² + (y₂ - y₁)²

RS = √(1 - (- 3))² + (9 - (- 4))²

RS = √16 + 169

RS = √185

RS = 13.8 units

Thus, The length of segment RS is,

⇒ RS = 13.8 units

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The quotient A/B is equal to 42 + 84j, which corresponds to option b: 4 + j7.45.

To find the quotient A/B, we can perform complex division. Let's proceed with the calculation:

A/B = (68 + j16) / (2 - j4)

To simplify the expression, we can multiply the numerator and denominator by the conjugate of the denominator:

A/B = ((68 + j16) * (2 + j4)) / ((2 - j4) * (2 + j4))

Expanding the numerator and denominator:

A/B = ((68 * 2) + (68 * j4) + (j16 * 2) + (j16 * j4)) / ((2 * 2) + (2 * j4) - (j4 * 2) - (j4 * j4))

= (136 + j272 + j32 + j64) / (4 + j8 - j8 - j16)

= (136 + j272 + j32 + j64) / 4

Simplifying further:

A/B = (136 + j272 + j32 + j64) / 4

= (136 + j272 + j32 + j64) / 4

= (136 + 32) / 4 + (272 + 64) / 4j

= 168 / 4 + 336 / 4j

= 42 + 84j

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Yes, this sample of the trees in the county likely to be representative if each forest is the same size.

Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.

For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.

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A bounded sequence is convergent.

A) Since Sequence means its range st is bounded then it's lower bound and upper bound exist.

Ler v be an upper bound of sequence then,

\({a_{n} } < v < m\) where m is any constant greater than v.

B) Let {\(a_{n}\)} be a sequence,

Since \(a_{n}\) goes to l, for all ε >0

such that \(| a_{n} - l |\) < ε

l - ε < \(a_{n}\) < l + ε

Here \(a_{n}\) is bounded which is convergent.

C) ) f(n) =N ( set of natural numbers) which is not bounded.

D) f(n) =N ( set of natural numbers)

Since f(n) is monotone increasing, which is not convergent.

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Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.

The slope of the line passing through (-18, 14) and (-8, -8) is -11/5. the slope of the line passing through (-18, 14) and (-8, -8) is -11/5.

To find the slope of the line passing through thethe slope of the line passing through (-18, 14) and (-8, -8) is -11/5(-18, 14) and (-8, -8).

We can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the given values, we get:

slope = (-8 - 14) / (-8 - (-18))

slope = (-22) / 10

slope = -11/5

Therefore, the slope of the line passing through (-18, 14) and (-8, -8) is -11/5. This means that the line has a negative slope, indicating that it is slanting downwards from left to right. The magnitude of the slope is 11/5, which means that for every 5 units we move to the right, the line moves down by 11 units. The slope is a fundamental concept in geometry and is used to describe the steepness of a line.

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Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems:

(1) Right angle      (2) Acute angle        (3)  Obtuse angle         (4)Straight angle              (5)Reflex angle

(6) Complementary angles          (7)Complementary angles

In geometry, special angles refer to specific angles that have special properties or characteristics. These angles include right angles, acute angles, and obtuse angles. A right angle is an angle that measures exactly 90 degrees, while an acute angle is an angle that measures less than 90 degrees. An obtuse angle, on the other hand, measures more than 90 degrees but less than 180 degrees. These angles are important in geometry as they form the foundation for many geometric shapes and concepts. Understanding the properties and characteristics of these special angles is crucial for solving geometry problems and constructing geometric figures accurately.

Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems. These angles include:

1. Right angle: A right angle is an angle that measures exactly 90 degrees. It is formed when two lines intersect perpendicularly.

2. Acute angle: An acute angle is an angle that measures between 0 and 90 degrees. It is smaller than a right angle.

3. Obtuse angle: An obtuse angle is an angle that measures between 90 and 180 degrees. It is larger than a right angle.

4. Straight angle: A straight angle is an angle that measures exactly 180 degrees. It is formed when two lines intersect in a straight line.

5. Reflex angle: A reflex angle is an angle that measures between 180 and 360 degrees. It is larger than a straight angle.

6. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees.

7. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees.

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An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer:

\(54c^3+68c^2-72c\)

Step-by-step explanation:

\(6c(9c^2+11c-12)+2c^2\\=(6c)(9c^2)+(6c)(11c)+(6c)(-12)+2c^2\\=54c^3+66c^2-72c+2c^2\\=54c^3+68c^2-72c\)

Answer:

Step-by-step explanation:

We have that

ax -y=4

if the graph of the equation would pass through the point M (3, 5)

then

for the point M (3, 5)

x=3

y=5 I substitute the values of x and y in the --> a*3-5-4------> a*3=4+5------->

equation

ax -y=4- a=9/3

a=3

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Answer:

4.6 ≤ w ≤ 52.

Step-by-step explanation:

Lowest value = 4.6 and highest = 5.2.

So weight w ≥ 4.6

and w ≤ 5.2.

The evaluation of the expression - 8 - (- 2 + 7)² is -33.

- 8 - (- 2 + 7)²

Using PEMDAS

P = parenthesis

E = Exponential

M = Multiplication

D = Division

A = Addition

S = Subtraction

- 8 - (- 2 + 7)²

= - 8 - (5)²

= - 8 - 25

= -33

Hence, -33 is the results of the evaluation of the expression.

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Answer:

The original cost of the butter cup was $91.

Step-by-step explanation:

Let x be the original price of the kitten butter cup.

Since Susan pays five out of seven of the original cos plus a fee of $24, the total amount she paid is 5x/7 + 24.

Now, this total amount equal the $89 she paid for the kitten butter cup. So,

5x/7 + 24 = 89.

We now solve this equation to find the original cost of the kitten butter cup.

So,

5x/7 + 24 = 89

Collecting like terms, we have

5x/7 = 89 - 24

5x/7 = 65

multiplying both sides by 7, we have

5x = 65 × 7

dividing both sides by 5, we have

x = 65 × 7 ÷ 5

x = 91

So the original cost of the butter cup was $91.

Answer:

34

Step-by-step explanation:

115.6/340 = 0.34 x 100 = 34 percent

Given the points (2, k) and (0, -6), and the distance is √5

The distance between two points is calculated by the formula:

Hence,

Therefore, the values of k would be -5 or -7 [option A is correct]

Example of SMART saving goals is "Viletas de $50 each week in almone market."

SMART financial goals should be Specific, Measurable, Achievable, Relevant, Time-based.

Specific :- Your goal should be specific, not generic or vague.

Measurable :- Make your financial goal measurable by quantifying it so you can evaluate your progress and overall success.

Achievable :- The surest way to improve your financial situation is to take achievable steps.

Realistic :- Setting unrealistic goals usually leads to disappointment and surrender.

Time-based:- Give yourself a time frame to achieve the goal.

By observing all these properties of SMART financial goal the example of this goal will be "Viletas de $50 each week in almone market."

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Therefore, the value of x is 26.

in geometry, an angle is a measure of the amount of rotation between two intersecting lines, or between a line and a plane. It is typically measured in degrees, with a full rotation equal to 360 degrees. Angles can also be measured in radians, which is another unit of angular measurement .Since ∠1 and ∠2 are supplementary, their sum is equal to 180 degrees. That is:

m∠1 + m∠2 = 180

Substituting the given values, we have:

124° + (2x+4)° = 180°

Simplifying this equation, we get:

2x + 128 = 180

Subtracting 128 from both sides, we have:

2x = 52

Dividing both sides by 2, we get:

x = 26

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