Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.

Answer:

3

Step-by-step explanation:

length

width

height

Answer:

His estimate is reasonable

Step-by-step explanation:

1/10 + 6/10 = 7/10, which can be rounded to 1

1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 1

As you can see, 7/10 is very close to 1.

Hope this helps!

Answer:

Rehan;

76m

Step-by-step explanation:

Distance covered by running around square park :

Perimeter of square = 4s ; s = side length of square

Perimeter = 4 * 42m = 168 m

Total distance covered = 168m * 3 = 504m

Distance covered by running around rectangular park :

Perimeter of rectangle = 2(l + w) ;

Perimeter = 2(40 + 18) = 2(58) = 116 m

Total distance covered = 116m * 5= 580m

580m - 504m = 76m

Rehan covered more distance

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

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Answer:

B. 875

Step-by-step explanation:

Hope this helped

The statement "a rectangular table can be detrimental by emphasizing status differences between learners" is true.

Rectangular tables, unlike round or oval tables, can make it difficult for all learners to be equal since rectangular tables often have a head or primary position.

Therefore, the person who is sitting in the primary position can quickly become the central focus of the group, causing other members to feel inferior. This is particularly important for learners in a classroom environment, where creating a sense of equality and encouraging everyone to participate and share ideas is crucial.

Learners might feel isolated or overlooked when seated around a rectangular table, particularly if they are at the end of the table or farther from the primary position. This can have an impact on their self-confidence and participation in group activities, as well as their capacity to learn.

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Answer:fraction that represents the international snow globes, =9//10

Step-by-step explanation:

Number of international snow globes ==12

Number of domestic snow globes ==18

total number of snow globes =12+18=20

fraction that represents the international snow globes=18/20=9//10

According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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Answer:

6

Step-by-step explanation:

im assume 6 because you just need to multiply them check tho

Answer:

Ordered pair

Definition: An ordered pair is a pair of numbers in parentheses that declare the location of a point on a graph.

The slope of this line is 2

The correct answer is option d. 928.02. This can be answered by the concept of sum of squares.

The sum of squares due to regression (SSR) is a statistical term that measures the total amount of variation in the dependent variable that can be explained by the regression model. It is also known as the explained sum of squares. SSR is an important component of the analysis of variance (ANOVA) used in regression analysis to assess the goodness of fit of the regression model.

In the given options, option d. 928.02 is the correct answer as it represents the sum of squares due to regression (SSR). Option a. 1434, option b. 505.98, and option c. 50.598 are not correct as they do not represent the sum of squares due to regression (SSR).

Therefore, the correct answer is d. 928.02.

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In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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Answer:

y = -3x + 13

Step-by-step explanation:

y - 4 = -3(x - 3)

y - 4 = -3x + 9

y = -3x + 9 + 4

y = -3x + 13

The man does 14,400 ft-lbs of work against gravity while climbing to the top of the helical staircase. A 160-lb man carrying a 20-lb can of paint climbs a helical staircase around a silo with a radius of 20 ft. The silo is 40 ft high, and the man makes two complete revolutions.

To calculate the work done by the man against gravity, we first need to determine the total vertical distance he climbs.

The height gained in one revolution can be found using the Pythagorean theorem. The man moves along the circumference of the circle with radius 20 ft, so the horizontal distance in one revolution is 2 * π * 20 = 40π ft. Thus, the helical path forms a right-angled triangle, with the height gained as one side, 40π ft as the other side, and the helical path's length as the hypotenuse. If the man makes two complete revolutions, the total horizontal distance traveled is 80π ft.

Let h be the height gained in one revolution. Then, h² + (40π)² = (80π)². Solving for h, we find that h = 40 ft. Since there are two revolutions, the total height gained is 80 ft.

The man's total weight (including the paint can) is 160 + 20 = 180 lbs. Work done against gravity is the product of force, distance, and the cosine of the angle between the force and displacement vectors. In this case, the angle is 0° since the force and displacement are in the same direction (vertically). So, the work done is:

Work = (180 lbs) * (80 ft) * cos(0°) = 180 * 80 * 1 = 14,400 ft-lbs.

Therefore, the man does 14,400 ft-lbs of work against gravity while climbing to the top of the helical staircase.

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Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day

On the basis of a random sample of 10 men who have been married for 5 to 10 years, the expected blood pressure of Saeed is 98 mmHg. The correct answer is option d.

The regression model that has been produced in this case is as follows:

V = 98 +4.03 x

This regression model shows that there is a relationship between the number of years married and blood pressure of a person.

Here, V represents the systolic blood pressure (in mmHg) and x represents the number of years married.

Now, we need to find the systolic blood pressure of Saeed who has just got married. The given regression model can be used to calculate the expected blood pressure of Saeed since it predicts the blood pressure based on the number of years married.

So, substituting the value of x (which is 0 since Saeed has just got married) in the equation, we get:

V = 98 +4.03(0)V = 98

Hence, the expected blood pressure of Saeed is 98 mmHg.

Answer: d. 98 mmHg

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Answer:

here is ur answer

Step-by-step explanation:

4x +2y = 4

4x = 4 -2y

x = 4/4 -2y

x= -2 y

Millimeter (mm) and inch are both units of measurement for length, but they are not equivalent. One inch is equal to 25.4 millimeters. To convert inches to millimeters you multiply the number of inches by 25.4, for example 2 inches is equal to 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

A millimeter (mm) and an inch are both units of measurement for length. However, they are not equivalent and cannot be directly compared.

A millimeter is a metric unit of length, commonly used in most countries around the world. It is a unit of the International System of Units (SI) and it is one of the most widely used units of length in science and engineering. An inch, on the other hand, is an imperial unit of length that is mainly used in the United States. It is part of the British Imperial system of measurements and it is one of the most widely used units of length in the United States.

To convert inches to millimeters, we use the conversion factor that 1 inch is equal to 25.4 millimeters. So to convert inches to millimeters you multiply the number of inches by 25.4. For example, if you want to convert 2 inches to millimeters, you would multiply 2 by 25.4 to get 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

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The given graph is of the equation y = x - 2

Select x-values and enter them into the equation to graph a function. You will obtain a y-value once those values have been entered into the equation. The coordinates of a single point are made up of the x and y values.

Step 1 is to determine the variables.

Step 2: Establish the range of the variable

Determine the graph's scale in step three.

Step 4 is to give each axis a number, a label, and a title.

5. Select the data points and plot them on the graph.

6. Create the graph.

After understanding the "how" of drawing a graph you will surely understand how to decide which equation's graph it is.

The given graph is of the equation

y = x - 2

because as in the graph

the slope cuts the points x = 4 and y = 2

and when we substitute this value in the above mentioned equation we get

2 = 4 - 2

which satisfies the condition .

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Answer:

i think  the first one is   C and second one is C

Step-by-step explanation:

   the second one is a whole number because the square root of 49 is 7 and 7 is a whole.      

The total number of possible outcomes when two dice are tossed is 6 × 6 = 36.

In this problem, we are given that the first die is a 5.

Therefore, the number of possible outcomes can be reduced to six. (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), and (5, 6) are the only possible outcomes.

Only three of these pairs will have a sum greater than nine:

(5, 5), (5, 6), and (6, 5).

Therefore, the probability that the total of two dice will be greater than 9, given that the first die is a 5, is 3/6 or 1/2. Hence, the probability is 0.5.

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The area of the rectangular wall is square inches.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel. Since, a rectangle is a 2-D shape, it is characterized by two dimensions, length, and width. Length is the longer side of the rectangle and width is the shorter side.

Given,Height of the rectangular wall = inches

Length of the rectangular wall = inches

Formula:The formula to calculate the area of the rectangular wall is,

A = l × w

Where A is the area, l is the length and w is the width of the rectangular wall.

Substituting the given values in the formula, we getA = l × wA = inches × inchesA = square inches

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Yuri can take at most 7 lessons with the money he has saved.

What are the lessons ?

Let x be the number of lessons Yuri can take with the money he has saved.

The total cost of the guitar and the lessons is:

55 + 12x

Since Yuri has saved $147, we can write:

55 + 12x ≤ 147

This is the inequality that represents the number of lessons Yuri can take with the money he has saved. To solve for x, we can first subtract 55 from both sides:

12x ≤ 92

Then, divide both sides by 12:

x ≤ 7.67

Since Yuri cannot take a fraction of a lesson, we need to round down to the nearest whole number:

x ≤ 7

Therefore, Yuri can take at most 7 lessons with the money he has saved.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

Add up all of the numbers, and divide by the number of digits. To put it another way, the total is divided by the count.

Step-by-step explanation:

so ... 2,4,4,2

2+4+4+2= 12

12 divided by 4=3

i think 3 is the mean....

hope this helps.....

The integral of the volume can be given as ∫[π(5040 - 1008secx)dx], which gives the value of the volume of the solid as 36.87 cubic units.

The region bounded by the curve y=7secx and the line y=72 over the interval −π/4≤x≤π/4 about the​ x-axis, the volume of the solid generated is 36.87 cubic units. The given curve is y = 7secx and the line is y = 72, over the interval π/4 ≤ x ≤ π/4.

As the region is being revolved around the x-axis, we have to write the equation for the washer volume given byπ{(outer radius)² - (inner radius)²}dx

Now, the outer radius is given by 72 - y, and the inner radius is given by 7secx. Therefore, the washer volume can be written as π[(72 - y)² - (7secx)²]dx = π[(72 - 7secx)² - (7secx)²]dx = π(5040 - 1008secx)dx

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a) Using the given values, the integral is ∫√(1+EA) dx = ∫(4+t^2)^-1/2 (200-2t^2) dt. Simplifying the given equation, we have (4+t^2)^-1/2 (200-2t^2) = (2/√(4+t^2)) (100-t^2). Let u = 4+t^2, then du/dt = 2t. The given integral then becomes ∫(2/√u)(100-u) du/(2t). Simplifying this further, we obtain (100/2) ∫u-1/2 du - (1/2) ∫u1/2 du. This gives 100√(4+t^2) - t√(4+t^2) + C = √(1+EA) dx, where C is the constant of integration.

b) Given the function x(t) = tan-1(sinh(t)), we can compute the velocity of the particle as v(t) = dx/dt = sec^2(t) sinh(t)/[1+sinh^2(t)]. Since x only depends on t, we can simplify the velocity expression to v(x) = sec^2(t) sinh(t)/[1+sinh^2(t)], where t = sinh^-1[tan(x)]. Thus, the speed of the particle is given by |v(x)| = √[sec^2(t) sinh^2(t)/[1+sinh^2(t)]^2]. We can use trigonometric identities to further simplify this expression to |v(x)| = √(1-cos^2(t))/cos^2(t) = √(sin^2(t))/cos^2(t) = tan(t). Using the definition of t, we have t = sinh^-1[tan(x)]. Thus, the speed of the particle is given by |v(x)| = tan[sinh^-1(tan(x))] = tan[xln(1+√(1+x^2))]

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Answer:

3:5

Step-by-step explanation: