Please help me on this question

Answer: To find out how long it takes the paddle wheel to complete 100 full revolutions, we need to calculate the circumference of the paddle wheel and divide that by the speed at which the fins along the outer edge are traveling.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius of the circle.

The radius of the paddle wheel is 2 feet (the diameter of 4 feet divided by 2), so the circumference is:

C = 2π * 2 = 8π feet

To find out how long it takes the paddle wheel to complete 100 full revolutions, we divide the number of feet traveled in one revolution (the circumference of 8π feet) by the speed at which the fins are traveling (1.3 feet per second):

100 * 8π feet / 1.3 feet per second = 615.38 seconds

Rounded to the nearest second, it takes approximately 615 seconds for the paddle wheel to complete 100 full revolutions.

The lateral surface area of the frustum with a lower base radius of 6 inches, an upper base radius of 3 inches, and a height of 4 inches is 45π sq. inches is 45π sq. inches

The lateral surface area of the frustum is calculated using the given formula:

Lateral surface area of frustum = π × (sum of the radii) × √(difference of radii²  + height²)

Lower base radius of frustum = 6 inches

Upper base radius of frustum = 3 inches

Height of frustum = 4 inches

Lateral surface area of given frustum = π × (6 + 3) × √[(6 - 3)² + 4²]

                                                              = π × 9 × √[(9 + 16]

                                                              = 9π × 5

                                                              = 45π sq. inches

Hence, the lateral surface area of the given frustum is 45π sq. inches

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Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:

x = 32°

Step-by-step explanation:

The definition of tangent means that the angle formed by the line and the circle is a 90° angle. We can also see that the two segments connected to the center have equal angles because they are both radii of the circle. They form a triangle and the angle measurements are 61°, 61° and 58°. We have two angle measurements of the overall triangle, 58°, 90° (from the tangent), and x°.

The sum of the angles of any triangle is 180°. Therefore, we can form an equation to calculate the value of x.

58 + 90 + x = 180

x = 180 - 90 - 58

x = 32°

Answer:

x = 32°

Step-by-step explanation:

To find:-

Answer:-

As we know that angle made by tangent on the centre is a right angle . So here \(\angle\)OBC will be 90° ( as CB is tangent on the circle.) Again we know that the angles opposite to equal sides are equal . Therefore here OB and OA are radii of the circle which are equal. So we can say that;

\(\sf:\implies \red{ \angle OBA = \angle OAB = 61^o}\\\)

Again we know that the angle sum property of a triangle is 180° . Therefore in ∆OBA ,

\(\sf:\implies 61^o + 61^o + \angle AOB = 180^o \\\)

\(\sf:\implies 122^o + \angle AOB = 180^o \\\)

\(\sf:\implies \angle AOB = 180^o - 122^o \\\)

\(\sf:\implies \angle AOB = 58^o\\\)

Finally look into the ∆OBC ,

\(\sf:\implies \angle BOC + \angle OCB + \angle CBO = 180^o\\\)

\(\sf:\implies 58^o + 90^o + x = 180^o \\\)

\(\sf:\implies 148^o + x = 180^o \\\)

\(\sf:\implies x = 180^o - 148^o \\\)

\(\sf:\implies \red{ x = 32^o }\\\)

Hence the value of x is 32°.

The amount of silver that  should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.

What are linear equations?

An equation between two variables that, when plotted on a graph, produces a straight line.

The material will weigh 12 × 5 = 60 grams after melting all 5 rings.

The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.

Thus, we can construct the following equation:

Amount of gold before = Amount of gold after mixing

So the equation we get

80% of 60 grams =64% of (X + 60) gram

0.80 × 60 = 0.64 (x + 60)

48 = 0.64x + 38.4

0.64x = 9.6

x = 9.6/0.64

x = 15

So

Amount of silver that needed to be added

= 0.64(15 + 60)

= 0.64(75)

= 48%

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The slope of the line represented by the equation -3x + 5y = 2x + 3y is 5/2.

To find the slope of a line, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.

Let's rearrange the given equation -3x + 5y = 2x + 3y:

First, combine like terms:

-3x + 5y - 3y = 2x

-3x + 2y = 2x

Next, isolate the term with y by moving the -3x term to the right side:

2y = 2x + 3x

2y = 5x

Finally, divide both sides of the equation by 2 to solve for y:

y = (5/2)x

Comparing this equation to the slope-intercept form, we can see that the coefficient of x is the slope. Therefore, the slope of the line is 5/2.

In conclusion, the slope of the line represented by the equation -3x + 5y = 2x + 3y is 5/2.

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The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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Answer:

28

Step-by-step explanation:

Given formula:

4s

It is given that the variable, s, is equal to 7. Therefore, plug in 7 for s in the expression:

4s

4(7)

Next, multiply straight across:

4 * 7 = 28

28 is your answer.

~

Answer:

answer is 28

Step-by-step explanation:

it is simple put the value of S in formula and then solve

The number of calories from protein if the client eats 3/4 cup is 54 calories. So, the correct option is 54 calories.

Calories are a unit of energy. The energy needed to raise the temperature of 1 gram of water through 1 °C is equal to one calorie. Calories are the energy that food supplies to the body.

Calories from protein: Protein supplies 4 calories per gram. To calculate the total number of calories from protein, you must first know the amount of protein that the food item contains.

To calculate the calories from protein in Greek vanilla yogurt: Greek vanilla yogurt contains about 10 grams of protein per cup.

Therefore, Calories from protein = Protein x 4 = 10 x 4 = 40 Calories per 1 cup Greek vanilla yogurt

If the client eats 3/4 of a cup of Greek vanilla yogurt, the number of calories from protein would be:

Calories from protein = 40 Calories x 3/4 cup = 30 Calories

Hence, the correct answer is 54 calories.

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The probability that a resident is female is 0.625.

Probability is a method for determining how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

Given that,

Total number of females = 19+2+4 =25

total number of males=1+9+5 = 15

The probability that a resident is female is the Total number of females / total number of people

Hence total number of people = 25+15 = 40

So, Probability = 25/40 = 0.625

Therefore, the probability that a resident is female is 0.625.

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The probability that a resident is female = 0.625

The correct answer is an option (d)

The complete contingency table would be:

                      60-69         70-79          Over 79           Total

Male                  1                  9                 5                     15

Female              19                2                 4                      25

Total                  20               11                 9                     40

Here, sample space i.e., the total number of residents = 40

So, n(S) = 40

Let event A: a resident is female

From the contigency table, the number of favourable outcomes of the event A are 25

So, n(A) = 25

Using the definition of probability, the probability of event A would be,

p(A) = n(A)/n(S)

p(A) = 25/40

p(A) = 0.625

Therefore, the required probability is 0.625

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The first three nonzero terms of two linearly independent solutions about x = 0 can be obtained by Taylor expanding the solutions in terms of the exponent r and truncating the series to the desired order.

To determine if x = 0 is a regular singular point of the differential equation xy'' + y = 0, we substitute y = x^r into the equation and solve for the exponent r. Differentiating y twice with respect to x, we have y'' = r(r - 1)x^(r - 2). Substituting these expressions into the differential equation, we get \(x(x^r)(r(r - 1)x^(r - 2)) + x^r = 0\). Simplifying, we obtain r(r - 1) + 1 = 0, which yields r^2 - r + 1 = 0. Solving this quadratic equation, we find that the exponents at the singular point x = 0 are complex and given by r = (1 ± i√3)/2.

To find the first three nonzero terms of two linearly independent solutions about x = 0, we can use the Taylor series expansion. Let's consider the solution y1(x) corresponding to the exponent r = (1 + i√3)/2. Expanding y1(x) as a series around x = 0, we have y1(x) =\(x^r = x^((1 +\)i√3)/2) = x^(1/2) *\(x^(i√3/2\)). Using the binomial series expansion and Euler's formula, we can write \(x^(1/2) and x^(i√3/2)\) as infinite series.

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The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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Answer:

12

Step-by-step explanation:

you would need to use BODMAS to work this out

as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)

next you would do the multiplication due to the fact it comes next in the order

so you would end up with 10+2 which would equal to 12

Hope this helps

Answer:

12

Step-by-step explanation:

First we do 4-5 because of Order of Operations. So we get -1

Then we do multiplication because of Order of Operations and we get -2*-1=2

So now we do 10+2 and we get 12.

You may be asking why I did -2*-1.

It honestly doesn't matter.

Let's say I did 2*-1. We get -2.

Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

acute-angled

Step-by-step explanation:

It doesn't have a right angle and one of its corners isn't for than 90 degrees

Answer:

x = -1, -4

Step-by-step explanation:

\(|2x+5|=3\)

Subtract 5 from both sides

\(|2x| = -2\)

Divide both sides by 2

\(x=-1\) (First solution)

\(|2x+5|=3\)

-2x = 8

x = -4

Answer:

x = 9 cm

y = 30 cm

Step-by-step explanation:

Here, we want to get the lengths of the missing sides

Mathematically if two shapes are similar, the ratio of their corresponding sides are equal

Thus, we have that:

15/50 = x/30

50 * x = 15 * 30

x = (15 * 30)/50

x = 450/50

x = 9 cm

Also;

y/50 = 18/30

30 * y = 50 * 18

y = (50 * 18)/30

y = 30 cm

Of the following one that is not considered a guideline for developing visualizations is vary the scale to conserve space whenever possible. (Option B)

Data and information visualization refers to an interdisciplinary field that focuses on the graphic representation of data and information. It is an efficient way of communicating when the data or information is numerous. It aims to present the data in a clear manner and with a clear purpose. The aim of the texts and labels should be to clarify and not clutter. According to the guidelines for developing visualization, it is not recommended to vary the scale to conserve space whenever possible.

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according to clue no. 1 the number is 760 > x > 740. so, it could be any number between 740 - 760.

according to the 2 & 3 clue we can conclude that thousandths and ones digit are even and thousandth digit is twice the ones digit.

so the ones digit could be, 2 & 4 and the thousandth digit could be 4 & 8.

according to the 4th clue we can say that the tenths digit is 1 and thousandths digit is 4 as, thousandth digit is the 2nd even number after ones digit and also, sum of tenths and thousandth digit is 5 so, 1 + 4 = 5.

so, through this we can conclude that,

• ones digit = 2 as ( thousandth is twice the ones = 2 × 2 = 4 )

• tenths digit = 1 ( as 1 + 4 = 5 )

• thousandths digit = 4 ( as 4 + 1 = 5 )

according to clue no. 5 product of hundredths and hundreds is 7 so, 7 × 1 = 7.

so, according to this we can conclude that hundreds digit is 7 because in the required number the hundreds digit is itself 7

• hundreds digit = 7

&

• hundredths digit is = 1

and also, tens digit is 5 because only ones and thousandths digit are even.

so, the required number is, 752.114

hope this answer helps you dear & may u have a great day ahead!... take care!

Answer:

60 cm^2

Step-by-step explanation:

let are of big figure be x .

area of small figure / area of big figure = 15 / 18

50/x = 15/18

do cross multiplication

x*15 = 18*50

x = 900/15

x = 60 cm^2

Answer:

1. A is function.

2. A, is function

3. B is function.

Step-by-step explanation:

Hope it helps.

Answer:

1) B

2) A

3) B

Step-by-step explanation:

In a function... no value can be repeated in the domain

This is especially easy to discern in graphs because of the Horizontal Line Test

Answer:

In step 2

Step-by-step explanation:

In order to balance both sides, you first have to add 3c to both sides, but instead, it is subtracted in step 2, skewing the entire rest of the problem.

Answer:

Instead of subtracting 6, you should add 6 to both sides.

Step-by-step explanation:

nice levi pfp btw :)

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

The hypothesis is:   "The last digit of n is zero."

The conclusion is:   "n is divisible by five."

The converse is:   "If n is divisible by five, the the last digit of n is zero."

The contrapositive is:   "If n is not divisble by five, then n does not end in zero."

Step-by-step explanation:

I just took the test :)

Answer:

The hypothesis is:   "The last digit of n is zero."

The conclusion is:   "n is divisible by five."

The converse is:   "If n is divisible by five, the the last digit of n is zero."

The contrapositive is:   "If n is not divisble by five, then n does not end in zero."

Step-by-step explanation:

Answer: 1,520

Step-by-step explanation:

The ice cream costs $0.10 and the pie costs $2.10.

Let's call the cost of the ice cream "x".

According to the problem,

The pie costs $2 more than the ice cream, so the pie costs x + $2.

And, together, the pie and ice cream cost $2.20, so:

x + (x + $2) = $2.20

Expanding and solving for x:

2x + $2 = $2.20

2x = $0.20

x = $0.10

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept.

The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables.

2x+3y=5, for example, is a simple linear equation.

It is rather simple to get both intercepts when an equation is stated in this way (x and y).

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