A circular rug has a circumference of 6 1/2 yards. What is the circumference, in inches, of the rug?
A. 216 1/2
B. 222
C.223.2
D. 234

Volume of the aquarium is 27 \(s^{3}\)

The total number of cubic units that a cube totally fills up is referred to as its volume. An object with six square faces that is three dimensional is called a cube. The amount of space an object takes up in total is known as its volume. Space would be taken up by an object having a larger volume.

Depending on the inputted inputs, many formulas can be used to determine the volume of any cube. You may figure it out by measuring the diagonal of the cube or its sides.

Given that : Carlos bought a cube shaped aquarium with side 3s

As the aquarium have cube shape so the volume will be

Volume of cube is V =\(a^{3}\)

a = 3

V = 27 \(s^{3}\)

Hence ,Volume of the aquarium is 27 \(s^{3}\)

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Answer:

47

Step-by-step explanation:

Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

100cm

Step-by-step explanation:

I hope this help:)

Answer:

35 square cm

Step-by-step explanation:

Square area: 5 cm x 5 cm = 25 square cm.

Triangle area: 4 cm x 5 cm / 2 = 10 square cm.

25+10=35 square cm.

Answer:

\(SA = \pi (6) * 10+\pi ( 6)^2\)

Step-by-step explanation:

The surface area of a cone is given by

\(SA = \pi rl +\pi r^2\)

r is the radius and l is the slant height.

The diameter is 12 inches, the radius is 12/2 = 6 inches.

The slant height is 10 inches.

\(SA = \pi (6) * 10+\pi ( 6)^2\)

Answer:

SA of cone = \((\pi )(6)(8) + (\pi )(6)^2\)

Step-by-step explanation:

Surface Area of cone = \(\pi rh+\pi r^2\)

Where r = 6 inches (Diameter = 12 inches) , h = 8 inches (We'll not consider the slant height)

SA of cone = \((\pi )(6)(8) + (\pi )(6)^2\)

The Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.

Triangle xyz has sides of length x, y, and z and triangle pqr has sides of length p, q, and r.

To determine if triangle xyz is similar to triangle pqr, we must calculate the ratios of corresponding sides. This is done using the formula:

Ratio of sides = (Side length x) / (Side length y)

We can calculate the ratios for each side of the triangles and compare them. If the ratios are equal for all sides, then the triangles are similar. For example, if the ratio of side x to side y in triangle xyz is equal to the ratio of side p to side q in triangle pqr, then the triangles are similar. If the ratios are not equal for all sides, then the triangles are not similar.

We can use the Pythagorean Theorem to determine if the triangles are not only similar, but also congruent. The Pythagorean Theorem states that a2 + b2 = c2, where c is the longest side and a and b are the other two sides. If the Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.

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The value of principal amount is P=45000.

The value of rate of interest is R=5%.

The time is n=7 years.

The formula for the amount when interest is compounded annually is,

Substitute the values in the formula to obtain the value of amount.

So amount if intrest is compouned annually is $63319.52.

The formula for amount when interest is coumpounded semi annualy is,

Substitute the known values in the formula to obtain the value of amount.

So amount if intrest is compouned semi-annually is $63583.822.

Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:

d^2 = x^2 + y^2

Taking the derivative of both sides with respect to time, we get:

2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)

Simplifying this expression, we get:

dd/dt = (x(dx/dt) + y(dy/dt)) / d

Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:

dx/dt = v and dy/dt = -w

Substituting these values and simplifying, we get:

dd/dt = (v^2 + w^2)^0.5

Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.

To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:

d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5

Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.

Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:

d = (vt)^2 + ((t-1)w)^2)^0.5

Taking the derivative of both sides with respect to time, we get:

dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)

Simplifying this expression, we get:

dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)

Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.

The second derivative of the distance between you and your friend is given by:

d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)

Answer:

x=18

Step-by-step explanation:

m(<BCD) = 2x alternative Z

c=2x d=8x

m(<CD) =180 U

180/10x

x=18

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

D.

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -1 to 4. Since -1 is an open dot, it is not included in our domain:

(-1, 4] or -1 < x ≤ 4

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

Answer:

y = 10 x = 4

Step-by-step explanation:

Answer:

y = 10x - 30

Step-by-step explanation:

x = 5

5 x 10 = 50

50 - 30 = 20

y = 20

x = 6

6 x 10 = 60

60 - 30 = 30

y = 30

x = 7

7 x 10 = 70

70 - 30 = 40

y = 40

x = 8

8 x 10 = 80

80 - 30 = 50

y = 50

The net area of the paper needed is 4.125 square feet.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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Answer:

3/10 + 5/10 = 8/10

8/10 kilometers

Step-by-step explanation:

Answer:

3/10+1/2=3/10+5/10

=8/10km

Answer:

43

Step-by-step explanation:

the line is worth 180 degrees. subtract 90 and 47 because that is part of the 180. your left with 43 degrees which is what is missing. hope this helps!

the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.

A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.

by the question.

The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.

To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:

d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)

Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).

To find the x-coordinate of the point we're looking for, we can use the formula:

x = (distance from V to point we're looking for)/ (total distance) * x

coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.

Substituting the values, we found:

x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08

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Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

Answer:

49\(\sqrt{21}\)

Step-by-step explanation:

You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well

Answer: 49 √3 or 84.87049

Step-by-step explanation:

Answer:

You would have 11 days for both passes because 3 times 11=33 and  33 divided 3= 11.

Answer: 11 days

Step-by-step explanation: You would only be able to go for 11 days because 11 multiplied by 3 equals 33.

Answer:

B

Step-by-step explanation:

The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle

Answer:

b

Step-by-step explanation:

its b

Step-by-step explanation:

it is just a matter of definition that can be easily looked up.

the domain is the interval or set of all valid x values.

while the range is the interval or set of all valid y (function result) values.

so, the domain here is every value of x used in this function.

e.g. does x = -6 have a functional (y) value in the curve ?

no, it does not.

x = - 4 ? no.

x = -2 ? no.

x = -1 ? ah, yes, this is just the left-most point of the curve.

and then all x values further to the right of -1 are covered. as the arrows indicate : into all eternity ("to infinity and beyond !")

so, the domain is [-1, +infinity).

and you need to use B.

please note, the round bracket indicates that that ends of the interval is not included or undefined (after all, infinity is not a number we can work with, it is basically undefined and only represents a principle).

for the range this is tricky, as the graph does not really show us the limit. it could be y = -1 or 0 down to y = -9 or -10.

Answer:

14. x=20

15. 11.36 repeating

16. 47

Step-by-step explanation:

let me know if you need help with any others

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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A total of 8 workers are required for a building time of 15 days.

In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:

n ∝ 1 / t

n = k / t

Where k is the proportionality ratio, which can be eliminated by building the following formula:

n₁ · t₁ = n₂ · t₂

If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:

n₂ = n₁ · (t₁ / t₂)

n₂ = 10 · (12 / 15)

n₂ = 10 · (4 / 5)

n₂ = 8

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Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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