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Complete the table with the ratios of the base areas, surface areas, and volumes of these two similar cones. Assume the ratios are written in the form cone A : cone B.

When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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Answer:

all real numbers

Step-by-step explanation:

the arrows show that it is continuing therefore it is all real numbers

Answer:

theres no c in the equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is B

The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Answer: 20%

Step-by-step explanation: $1200 - $960 = $240

20% of 1200 is 240.

Answer:

6.72/3.2=2.1

Step-by-step explanation:

The larger of two numbers is 4 more than 2 times the smaller.

Let two numbers be x and y

y = 4 + 2 x ---------------- equ 1

If the smaller is subtracted from the larger, the result is 7. Find the two numbers.​

y - x = 7 ---------------------- equ 2

Solution:

y = 4 + 2 x ---------------- equ 1

y - x = 7 ----------- y = x + 7 ---------- equ 2

equ 1 = equ 2

x + 7 = 4 + 2x

7 - 4 = 2 x - x

x = 3

put x = 3 in equ 2 , we have :

y = x + 7 --------- equ 2

y = 3 + 7 = 10

CONCLUSION : x= 3 , y = 10

Answer:

x = 17.3333

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6.75 = 13 + 1/4

Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.

Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:

(3 x)/8 + 54/8 = 13 + 1/4

Hint: | Combine (3 x)/8 + 54/8 into a single fraction.

(3 x)/8 + 54/8 = (3 x + 54)/8:

(3 x + 54)/8 = 13 + 1/4

Hint: | Put the fractions in 13 + 1/4 over a common denominator.

Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:

(3 x + 54)/8 = (4×13)/4 + 1/4

Hint: | Multiply 4 and 13 together.

4×13 = 52:

(3 x + 54)/8 = 52/4 + 1/4

Hint: | Add the fractions over a common denominator to a single fraction.

52/4 + 1/4 = (52 + 1)/4:

(3 x + 54)/8 = (52 + 1)/4

Hint: | Evaluate 52 + 1.

52 + 1 = 53:

(3 x + 54)/8 = 53/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (3 x + 54)/8 = 53/4 by 8:

(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53

Hint: | Any nonzero number divided by itself is one.

1/8×1/(1/8) = 1:

3 x + 54 = 1/4×1/(1/8) 53

Hint: | Write 1/4×1/(1/8) as a single fraction.

Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:

3 x + 54 = 1/4×8×53

Hint: | Express 1/4×8×53 as a single fraction.

1/4×8×53 = (8×53)/4:

3 x + 54 = (8×53)/4

Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

3 x + 54 = 2×53

Hint: | Multiply 2 and 53 together.

2×53 = 106:

3 x + 54 = 106

Hint: | Isolate terms with x to the left hand side.

Subtract 54 from both sides:

3 x + (54 - 54) = 106 - 54

Hint: | Look for the difference of two identical terms.

54 - 54 = 0:

3 x = 106 - 54

Hint: | Evaluate 106 - 54.

106 - 54 = 52:

3 x = 52

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 52 by 3:

(3 x)/3 = 52/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 52/3

Hint: | Express 52/3 in decimal form.

52/3 = 17.3333:

Answer: x = 17.3333

Answer:

52/3

Step-by-step explanation:

The  answer above me ^^

The lines through each set of ordered pairs are neither parallel nor perpendicular.

The ordered pairs are given as:

(8, 3) (-2, 5) and (-2, -5) (-1, -10)

Start by calculating the slope (m) using:

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

For the first pair, we have:

m = (5 - 3)/(-2 - 8)

m = -1/5

For the second pair, we have:

m = (-10 + 5)/(-1 + 2)

m = -5

Both slopes are not equal, so they are not parallel

Also, both slopes are not opposite reciprocals, so they are not perpendicular.

Hence, the lines through each set of ordered pairs are neither parallel nor perpendicular.

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Answer:

800000

Step-by-step explanation:

(1 x 10^1) = 10

(8 x 10^4) = 80000

10 x 80000 = 800000

Explanation

From the given question

We are given the formula to compute the amount that a sum of $8000 compounded quarterly will yield after time t at a rate of 2.8%

The formula is given by

Part A

part B

the amount in the account after 7 years will be

The amount that will be in the account after 7 years will be $9725.57

Part C

APY is given by

In our case we have

Hence, we will have the APY as

Hence, the APY is 2.829%

Answer: Probability that the mean sugar package weight is less than 5 kg when 45 packages are randomly selected is 0.0002.

The z-score associated with this probability is -2.83.In order to calculate the probability that the mean sugar package weight is less than 5 kg, we need to calculate the z-score of the given probability distribution. We can use the z-score formula for this purpose, which is given by: z = (x - μ) / (σ / sqrt(n)) Where :x = 5 μ = 5.01σ = 0.03n = 45By substituting the given values, we get: z = (5 - 5.01) / (0.03 / sqrt(45))z = -2.83. Using the z-table, we can find the probability associated with the z-score of -2.83, which is 0.0023. However, we need to find the probability that the mean sugar package weight is less than 5 kg, which is the probability to the left of the z-score of -2.83. This can be found by subtracting the given probability from 1. Thus, the probability that the mean sugar package weight is less than 5 kg when 45 packages are randomly selected is: P(z < -2.83) = 1 - P(z > -2.83) = 1 - 0.9977 = 0.0002 (rounded to 4 decimal places). Therefore, the probability that the mean sugar package weight is less than 5 kg when 45 packages are randomly selected is 0.0002.

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As per the standard deviation, the probability that a randomly selected water specimen will have a pH measurement between 7.5 and 8.2 is 0.5278 or approximately 53%.

To find the probability that a randomly selected water specimen will have a pH measurement between 7.5 and 8.2, we need to calculate the area under the normal curve between 7.5 and 8.2. We can do this by standardizing the pH measurements to a standard normal distribution with a mean of 0 and a standard deviation of 1 using the formula:

z = (x - µ) / σ

where z is the standardized score, x is the pH measurement, µ is the mean pH value, and σ is the standard deviation of pH measurements.

Substituting the given values, we get:

z₁ = (7.5 - 8) / 0.3 = -1.67

z₂ = (8.2 - 8) / 0.3 = 0.67

Now we need to find the area under the standard normal curve between z₁ and z₂. We can use statistical tables or software to find this area. The area under the standard normal curve between z₁ and z₂ is approximately 0.5278.

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One-to-one: Since f(2) = f(-2) = -4, the function is not one-to-one.

(a) f: R → R. f(x) = x^2

The function f is neither onto nor one-to-one. To see why, consider the following:

Onto: A function is onto if every element of the co-domain has at least one pre-image in the domain. In this case, f(x) = x^2 can never be negative, so it does not take on every value in the co-domain R (since R includes negative numbers). Therefore, the function is not onto.

One-to-one: A function is one-to-one if each element in the co-domain corresponds to exactly one element in the domain. However, since f(-x) = f(x) for all x, the function is not one-to-one. For example, f(2) = f(-2) = 4.

(b) g: R → R. g(x) = x^3

The function g is both onto and one-to-one. To see why:

Onto: For any y in the co-domain R, we can find x in the domain R such that g(x) = y by taking the cube root of y. Therefore, g is onto.

One-to-one: Suppose g(a) = g(b) for some a, b in the domain R. Then, we have a^3 = b^3, which implies a = b. Therefore, g is one-to-one.

(c) h: Z → Z. h(x) = x^3

The function h is onto but not one-to-one. To see why:

Onto: For any y in the co-domain Z, we can find x in the domain Z such that h(x) = y by taking the cube root of y. Therefore, h is onto.

Not one-to-one: For example, h(-1) = (-1)^3 = -1 and h(1) = 1^3 = 1, so h is not one-to-one.

(d) f. 2+2, f(x) = -4

The function f is neither onto nor one-to-one. To see why:

Onto: The co-domain is not specified, so it is not clear whether the function is onto or not.

Not one-to-one: Since f(2) = f(-2) = -4, the function is not one-to-one.

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The expression fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is simplified to give 8

The fraction: negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is written in words

Rewriting the fraction

-4( (2 - ∛8 * 6) / 5)

The equation is simplified as

= -4( (2 - ∛8 * 6) / 5)

= -4( (2 - 2 * 6) / 5)

= -4( (2 - 12) / 5)

= -4( (-10) / 5)

= -4( -2)

= 8

Option C, 8 is the correct answer

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Answer:2/3

Step-by-step explanation:

plug it into y = mx + b  and it results to m = 2/3

The equation 154 = -4(8+6r) + 24r has no solution because the variable becomes 0.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We have to find the variable r of the equation to solve the equation.

A variable is a number represented with letters in an equation.

Therefore, let's find the variable r in the equation.

154 = -4(8+6r) + 24r

open the brackets on the right side of the equation

154 = - 32 - 24r + 24r

154 = -32 + 0

Therefore, the equation cannot be solved.

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Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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Rounding to the nearest tenth, the area of the sector is approximately 3.4 square meters.

The area of a sector of a circle can be found using the formula:
Area = (θ/2π) * πr²
where θ is the central angle and r is the radius of the circle.
In this case, the radius is given as 3.2 m and the central angle is 2π/3.
Substituting these values into the formula, we get:
Area = (2π/3 * 1/2π) * π(3.2)²
Simplifying further, we have:
Area = (1/3) * 3.2²
Calculating the value, we get:
Area ≈ 3.4133 square meters
Rounding to the nearest tenth, the area of the sector is approximately 3.4 square meters.

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The area of the circular mirror is 113.04 sq.in.

Given that a circular mirror has a diameter of 12 inches.

We are to determine which of these is closest to its area.

To find the area of a circle, we use the formula:

A= πr² where r is the radius of the circle.

So, we know the diameter of the circle which is 12 inches.

The radius is half of the diameter. Therefore:

radius = 12 / 2 = 6 inches

Also, we know that π (pi) is equal to 3.14 (approx).

Area = πr²Area

        = π (6²)Area

        = 3.14 (36)

Area = 113.04 sq.in.

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Complete Question : A circular mirror has a diameter of 12 inches. Which of these is closest to its area?

A. 6 π

B. 12 π

C. 36 π

D. 72  π

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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The recurrence relation for the number of valid games, an, if the game starts with n stones and Alice is the first player can be defined as follows:

\(a_n = a_n_-_1 + a_n_-_2 + a_n_-_4\)

The reasoning behind this is that Alice can remove either 1, 2, or 4 stones in her move. After Alice's move, the remaining stones will be passed to Bob. The number of valid games for Bob will then depend on the number of stones he receives, which are n-1, n-2, or n-4, respectively. Therefore, the total number of valid games starting with n stones is the sum of the number of valid games for each of these scenarios.

The initial conditions for the recurrence relation are:

\(a_0\) = 0 (No stones remaining, Alice loses immediately)

\(a_1\) = 1 (Alice removes 1 stone, Bob has no valid move)

\(a_2\) = 2 (Alice removes 2 stones, Bob has no valid move)

\(a_3\) = 1 (Alice removes 1 stone, Bob removes 1 stone)

The closed form solution for the generating function for an can be obtained by solving the recurrence relation. However, since the recurrence relation is nonlinear, it does not have a simple closed form solution. Instead, we can represent the generating function as a power series:

\(A(x) = a_0 + a_1x + a_2x^2 + a_3x^3 + ...\)

Alice has a winning strategy for the values of n where the number of stones is not a multiple of 3. This is because Alice can always make a move to leave Bob with a number of stones that is a multiple of 3. Bob will then have no valid move and will lose the game. On the other hand, if the number of stones is a multiple of 3, Bob can make moves to ensure that Alice is left with a number of stones that is a multiple of 3, and Bob will eventually win the game.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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If Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes, then Maria arrived ahead of stipulated time by 14.5 minutes, while Cindy arrived earlier by 38 minutes, determined by solving a linear equation.

As per the question statement, Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes.

We are required to calculate the individual minutes by which, each of Maria and Cindy arrived earlier by.

To solve this question, let us assume that Maria arrived early by "x" minutes, and already given that Cindy arrived 23(1/2) minutes earlier than maria.

Since the total number of minutes that they were early by, was 38 minutes, we can form a linear equation, based on our assumption and the condition provided in the question statement, which goes as,

[{x + 23(1/2)} = 38]

Or, [(x + 23.5) = 38]

Or, [(x +23.5) = 38]

Or, [x = (38 - 23.5)]

Or, [x = 14.5]

That is, Maria arrived ahead of stipulated time by 14.5 minutes.

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Answer:

The angles are adjacent, and x=100

Step-by-step explanation:

The angles are adjacent because they share the same starting point. x=100 because x and the other angle are on a line, which has a measure of 180 degrees. We subtract 80 from 180 to get 100.

Hope this was helpful.

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Answer:

13

Step-by-step explanation:

Equation: a^2 + b^2 = c^2

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2 also equals (the square root of 169 = c)

The square root of 169 = 13

C = 13