The pirates wonder how many cannonballs would be required to build a pyramid 15 layers high (thus breaking the world cannonball stacking record). Can you help

Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.

Rational number:

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

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Answer:

..... .

Step-by-step explanation:

......... ......

Proportional reasoning can be used to make an estimate about a population using data from a sample by assuming that the sample is representative of the population as a whole.

Proportional reasoning involves using the relationship between different parts of a whole to estimate an unknown value.

To apply proportional reasoning to a population estimate, you would first need to gather a random sample of individuals from the population. Then, you could use the data from the sample to estimate the value of a particular characteristic or parameter for the entire population.

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Answer:

Expanded, the answer would be 10b + 40

Step-by-step explanation:

Just multiply 8 to 2b and 8

Answer:

B

Step-by-step explanation:

The reference angle and the given angle are the same angle.

Add 360° to the given angle , so

reference angle = - 289° + 360° = 71° → B

Answer:

the answer is A

Step-by-step explanation:

y-4 = 3 (x-1)

Answer:

can u text yr question more clearly to understand

Step-by-step explanation:

Multiply inches by 2.54 to get centimeters. Multiply inches by 25.4 to get millimeters.

The measure of the angle ∠ABD will be 66°.

Given that:

Angle, ∠FEG = 48°

The central angle is double the angle at the periphery that was subtended by the same chords.

The line AC is perpendicular to EF and the line DC is perpendicular to EG. So, the equation is given as,

∠FEG + ∠HCI = 180°

48° + ∠HCI = 180°

∠HCI = 132°

By the above theorem, the equation is given as,

∠ABD = 1/2 ∠HCI

∠ABD = 1/2 x 132°

∠ABD = 66°

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The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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Answer:

250

Step-by-step explanation:

Answer:

I think the answer is A but im not sure

The ordered pair of C'' after the sequence of transformation is (-14, -5)

Here we have know that  ABC can be plotted at A (-14, 14), B (-8, 11) & C (-14, 5).

Here we all know that the y-axis reflection rule is written as,

=> (x, y) → (-x, y)

And the value of x coordinate flips in sign from positive to negative, or vice versa. Then the value of y coordinate stays the same.

Then the point is look like C(-14,5) will then reflect based on the following rule,

=> (x, y) → (x, y)

The transformed coordinates are look like,

=> (-14,5) ((-14),5)

=> (-14,5)→ (14,5)

Therefore, here we have point C' located at (14,5) after applying the y-axis reflection rule on point C.

Now, the next operation to do is is the 180 degree rotation.

And this can be clockwise or counterclockwise.

Then the rotation rule is written as

=> (x, y) → (-x,y)

Now, for this time both coordinates flip in sign.

Here we have know that this rule only works if the center of rotation is the origin.

Now, let us apply that rotation rule to C' to find where C" is located.

Then the rule can be written as,  (x, y) → (-x,y)

=> (14,5)→ (-14, -5)

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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Answer:

i would think you add them and then the answer you choose would be 83

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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S'Mira jumped ~

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

16 feet and 9 inches is equal to ~

Answer:

SAS

Step-by-step explanation:

We have 2 sides that are congruent and the angle between them

We can use SAS ( side angle side) to prove congruency

Answer:

I think it's the first one.

To create a 10" by 10" grid using 1" pieces of wire, you will need to increase a total of 110 pieces of wire. This includes 100 "place" wires to form the grid squares, and 10 additional "piece" wires on each side to complete the border.

To create a similar 10'' by 10'' grid, we would need to increase each side by a factor of 10/6 or 5/3. This means that each piece of wire in the original 6'' by 6'' grid would need to be extended by 5/3, making it 5/3 inches long.

The number of pieces of wire needed for the new grid can be calculated by using the formula:

Number of pieces of wire = (number of horizontal wires + number of vertical wires + diagonals) x length of each wire

For the original 6'' by 6'' grid, there are 7 horizontal wires, 7 vertical wires, and 10 diagonals (which can be counted by drawing lines from each corner to the opposite corner). So the total number of wires is:

(7 + 7 + 10) x 1 = 24

For the new 10'' by 10'' grid, there will be 11 horizontal wires, 11 vertical wires, and 16 diagonals. So the total number of wires needed is:

(11 + 11 + 16) x (5/3) = 64.44 (rounded up to the nearest whole number)

Therefore, we would need approximately 64 pieces of wire to create a similar 10'' by 10'' grid.

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Answer:

Divide 2.5 by 5/8

Step-by-step explanation:

Step-by-step explanation:

Circumference of a circle is 2piR

Here R is 3 cm

So C=2pi(3)

C=6pi cm

Answer:

54 is anwer.

please mark me brainliest and follow me my friend.

because 54 is correct answer.

The value of surface area of the right cone is,

⇒ 54π units²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of cone = 3 units

Slant height = 15 units

Now, The formula for the total surface area of a right cone is,

T. S. A = πrl + πr²

Hence, We get;

The value of surface area of the right cone is,

⇒ π x 3 x 15 + π x 3²

⇒ 45π + 9π

⇒ 54π units²

Thus, The value of surface area of the right cone is,

⇒ 54π units²

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Answer:

-1

Step-by-step explanation:

inverse is -(x-1)/3

-(4-1)/3 is -1

The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

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a. the intersection points are (11√2 + 11, π/4), (11√2 + 11, 5π/4). b. the area of the region is π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

a. To find the intersection points of the curves, we can substitute the equations for r into each other and solve for θ:

11 + 11 sin θ = 11 + 11 cos θ

Subtracting 11 from both sides and simplifying, we get:

sin θ = cos θ

Dividing both sides by cos θ (which is not 0), we get:

tan θ = 1

This means that θ is of the form π/4 + kπ, where k is an integer. To find the corresponding values of r, we can substitute into either equation:

r = 11 + 11 sin θ = 11 + 11 sin(π/4 + kπ) = 11 + 11/√2 = 11√2 + 11

Therefore, the intersection points are:

(11√2 + 11, π/4), (11√2 + 11, 5π/4)

b. The region that lies within both curves is a circle with radius 11, centered at (11, 0), minus a sector of a circle with radius 11 and central angle π/4. The area of the sector is (π/4)/2π times the area of the full circle, which is (π/4)/2π * π * 11^2 = 121π/8. Therefore, the area of the region is:

π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

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8400000cm

84 kilometer is 8400000 centimeter.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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Answer:

So.

The way I see it you want to host a concert and need 200 feet to do so.

To find the are of a rectangle you just multiply

15.6x12.2

it equals around 190 point smth

that is less than 200 so you CAN NOT host the concert

Stay smart :)

-Lynx

Step-by-step explanation:

Large sample size gives more accurate information about population.

The main advantages of Large sample size is :

1. Large sample size provide stronger and more reliable information about parent population.

2. It will help researcher to capture outliers and sweeping out in sample.

3. Measuring large sample size allows one to divide the sample into segments .

4. Large sample size helps in obtaining a quality and precise mean .

Some disadvantages of Large sample size is :

1. Large sample size will be time consuming and more expensive to work with

2. It require higher financial involvement to complete the survey.

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