there are 36 fifth graders in art class. The art teacher wants to arrange their picture on the wall so that one is in the first row , two are in the second row, three are in the third row, etc. How many rows of pictures will there be?

Answer:

B

Step-by-step explanation:

total area minus white area give you shaded area

Answer:

f⁻¹(x) = 2ˣ / 9

Step-by-step explanation:

f(x) = log₂ (9x)

y = log₂ (9x)

swap y and x:    x = log₂ (9y)

solve y: 9y = 2ˣ        y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Since

f(x) = log₂ (9x)

So,

y = log₂ (9x)

Now

swap y and x so    x = log₂ (9y)

And, now we have to solve for y

9y = 2ˣ      

y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

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Answer:

40.73

not 100% sure but by comparing to the other answers, its the most logical

Answer:

$40.00

Step-by-step explanation:

Find 1% of 50

50 / 100 = 0.5

Multiply that value by 5

0.5 * 5 = 2.5

Multiply the new value by 4

2.5 * 4 = 10

Subtract

50 - 10 = 40

Answer:

Step-by-step explanation:

2x+28<=6x

28<=4x

7<=x

5/8 is greater then 7/12.

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5/8=5x3/8x3=15/24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7/12= 7x2/12x2=14/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

15/24>14/24 or 5/8>7/12

A speculative statement about the relationship between two or more variables is known as a b - hypothesis.

Variables:

A variable is a measurable trait or characteristic that is subject to change under different conditions.

Given,

Here we need to find what is meant by a speculative statement about the relationship between two or more variables.

The definition of Hypothesis is,

It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.

So, the option (b) - Hypothesis is correct.

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Answer: A, 8:11

Step-by-step explanation:

4 dogs + 6 cats + 1 rooster = 11

8 pigs

ratio for pigs to other animals  : 8:11

8 goes first bc the question was "What is the ratio of

pigs to all the other animals? "

pigs first - other animals second

a. f'(x) = 40x³

To find the derivative of f(x) = 10x⁴, we apply the power rule.

The power rule states that if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹. Applying this rule, we get f'(x) = 4 * 10x³ = 40x³.

b. : f'(x) = 20 + 90x²

To find the derivative of f(x) = 20x + 30x³, we differentiate each term separately. The derivative of 20x is 20, and the derivative of 30x³ is 90x² (applying the power rule). Adding these derivatives, we get f'(x) = 20 + 90x².

r: f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5)

To find the derivative of f(x) = (10 + 2x²)(5x - x²), we apply the product rule. The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x). Differentiating each term, we get f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5).

d.: f'(x) = 40x

To find the derivative of f(x) = 20x / (x²), we use the quotient rule. The quotient rule states that if f(x) = g(x) / h(x), then f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x)²). In this case, g(x) = 20x and h(x) = x². After differentiating and simplifying, we obtain f'(x) = 40x.

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To determine which pair of events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities. If the two probabilities are equal, the events are independent; otherwise, they are dependent.

Using the probabilities given, we can calculate the probabilities of the individual events:

P(a) = 0.4

P(b) = 0.3

P(c) = 0.2

P(d) = 0.1

We can also calculate the probabilities of the intersections of the events:

P(a ∩ b) = 0.1

P(a ∩ c) = 0.1

P(a ∩ d) = 0.1

P(b ∩ c) = 0.05

P(b ∩ d) = 0.05

P(c ∩ d) = 0.01

Now, we can check the pairs of events for independence:

1. Events a and b:

P(a) * P(b) = 0.4 * 0.3 = 0.12

P(a ∩ b) = 0.1

Since P(a ∩ b) is not equal to P(a) * P(b), events a and b are dependent.

2. Events a and c:

P(a) * P(c) = 0.4 * 0.2 = 0.08

P(a ∩ c) = 0.1

Since P(a ∩ c) is greater than P(a) * P(c), events a and c are dependent.

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3. Events a and d:

P(a) * P(d) = 0.4 * 0.1 = 0.04

P(a ∩ d) = 0.1

Since P(a ∩ d) is greater than P(a) * P(d), events a and d are dependent.

4. Events b and c:

P(b) * P(c) = 0.3 * 0.2 = 0.06

P(b ∩ c) = 0.05

Since P(b ∩ c) is not equal to P(b) * P(c), events b and c are dependent.

5. Events b and d:

P(b) * P(d) = 0.3 * 0.1 = 0.03

P(b ∩ d) = 0.05

Since P(b ∩ d) is not equal to P(b) * P(d), events b and d are dependent.

6. Events c and d:

P(c) * P(d) = 0.2 * 0.1 = 0.02

P(c ∩ d) = 0.01

Since P(c ∩ d) is not equal to P(c) * P(d), events c and d are dependent.

Therefore, none of the pairs of events are independent.

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B. There are 24 treatment combinations in a 2x3x2x2 ANOVA. This design has four factors, each with two, three, two, and two levels, respectively.

The number of treatment combinations is found by multiplying the number of levels for each factor together: 2 x 3 x 2 x 2 = 24. A 2x3x2x2 ANOVA does not necessarily test four dependent variables, and the number of levels refers to the total number of unique combinations of the factors.

While analyzing data for a study of this size can be time-consuming and require careful attention to detail, it should not result in hospitalization for exhaustion.

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Answer:

First one is 3^16

Second one is 3^10

Third one is 3^2 * 8^2

Forth one is 3^2/8^2

fifth one is 3^8/3^2

Step-by-step explanation:

Answer: 105 or b

Step-by-step explanation: inner 256 and outer is 361 making the difference 105

Answer:

The height of the light pole to the nearest foot is approximately 50 feet

Step-by-step explanation:

The parameters given in the question are;

The length of the cable = 63 feet

The angle of elevation of the cable to the top of the light pole = 52°

With the assumption that the light pole is perpendicular to the ground, the figure formed by the light pole, the distance of the of the cable from the base of the light pole and the length of the cable form a right triangle

The question can be answered by using trigonometric relations for the sine of the given angle as follows;

\(sin ( \theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

The opposite leg length of the formed right triangle = The height of the light pole

The hypotenuse length = The length of the cable = 63 feet

The angle, θ = The angle of elevation = 52°

Plugging in the values, gives;

\(sin (52 ^ {\circ}) = \dfrac{The \ height \ of \ the \ light \ pole }{63 \ feet}\)

∴ The height of the light pole = 63 feet × sin(52°) ≈ 49.645 feet

The height of the light pole to the nearest foot ≈ 50 feet.

Answer:

23x + 2 = 50

Step-by-step explanation:

My teacher told me lol

Answer:

23x + 2 = 50

I also had this question!

Step-by-step explanation:

Answer:

x=4.6 answer is at most 4 people can go

Step-by-step explanation:

32.50x+10.50=160.00

- 10.50 -10.50

149.50

32.50x = 149.50

Divide 32.50 and 149.50 to find x.

x = 4.6 round down because you cant have a fraction of a person. so 4 people can go.

The required solution is log₂ [(42x + 7)/(165x + 6)].

The given logarithmic function is `log₂ (42x + 7)/(165x + 6)`.

We need to express the function `log₂ (42x + 7)/(165x + 6)` without logarithms.

The formula that we are going to use is `log a - log b = log (a/b)`.

Now, `log₂ (42x + 7)/(165x + 6) = log₂ (42x + 7) - log₂ (165x + 6)`

This can be written as a single logarithm as follows:

We know that `log a - log b = log (a/b)`

Therefore, `log₂ (42x + 7) - log₂ (165x + 6) = log₂ [(42x + 7)/(165x + 6)]`

Thus, the function `log₂ (42x + 7)/(165x + 6)` without logarithms is `log₂ [(42x + 7)/(165x + 6)]`.

Hence, the required solution is log₂ [(42x + 7)/(165x + 6)].

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Answer:

C. Irrational numbers.

Step-by-step explanation:

87 is a whole number , an integer and a counting number

Answer:

g(x) = -3|x|.

Step-by-step explanation:

Multiplying by 3 stretches the graph vertically by a factor 3 and the negative reflects in the x-axis.

The equation that represents a vertical stretch by a factor of 3 and reflection in x-axis of the graph of function g ( x ) = | x | is given by

f ( x ) = -3 | x |

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs),

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be g ( x ) = | x |

Now , let the transformed function be f ( x )

The value of the function f ( x ) is calculated by

Step 1 :

Vertical stretch by a factor of 3

The Vertical stretch by a factor is done by

k: y = k × f(x)

So , multiplying the parent function by 3 , we get

f ( x ) = 3 | x |

Step 2 :

Reflection in the x-axis ,

The value of f ( x ) is multiplied by -1

So ,

f ( x ) = -3 | x |

Therefore , the transformed function f ( x ) = -3 | x |

Hence , The equation that represents a vertical stretch by a factor of 3 and reflection in x-axis of the graph of function g ( x ) = | x | is given by

f ( x ) = -3 | x |

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The correct answer is 1. An equilibrium point, also known as a market-clearing price, is where the supply curve and demand curve intersect and the quantity supplied equals the quantity demanded.

This is the point where there is no excess supply or excess demand in the market, and the price is stable.

In economic theory, the concept of an equilibrium point is crucial in understanding the behavior of markets. When there is a surplus of supply or demand, the market will adjust to restore equilibrium. If the price is too high, the quantity supplied will increase and the quantity demanded will decrease until the equilibrium point is reached. If the price is too low, the quantity demanded will increase and the quantity supplied will decrease until the equilibrium point is reached. Therefore, understanding the equilibrium point is essential for making informed decisions about pricing, production, and investment in a market.

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Answer:

d. Egyptians did not pay tax

Step-by-step explanation:

If the Egyptians were to pay tax from land they would use the area of the land.

Answer:

size I think, sry if wrong(

There is no success probability for which the first success is most likely to occur on the fourth attempt.

Assuming the success probability of an experiment is p and the number of trials until the first success occurs is denoted by X, X follows a geometric distribution with the probability mass function P(X=k) = (1-p)^(k-1) * p, where k is the number of trials until the first success occurs.

Given that the first success occurs on the 4th attempt, P(X=4) is maximum when p is maximum. To find the value of p, we need to maximize the function P(X=4), which can be represented by (1 - p)^(3) * p.

Differentiating this function with respect to p, we get d[P(X=4)]/dp = -3(1 - p)^(2) * p + (1 - p)^(3).

Equating the above equation to zero, we get -3(1 - p)^(2) * p + (1 - p)^(3) = 0, which further leads to (1 - p)^(2)[(1 - p) + 3p] = 0 and (1 - p)^(2)(1 + 2p) = 0.

Since (1 - p)^(2) > 0, the solution is given by: 1 + 2p = 0, which results in p = -1/2.

However, the probability of success cannot be negative. Therefore, p cannot be equal to -1/2. Hence, there is no success probability for which the first success is most likely to occur on the fourth attempt.

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The theoretical and experimental probabilities are equal.

Probability determines the likelihood of a random event occurring. The ratio of the number of favorable outcomes to the total number of possible outcomes is known as theoretical probability.

Theoretical probability = number of odd sides/ die sides

Here given that the numbers that are odd comes 6

So,

6/20 = 3/10 theoretical probability

The outcome of an experiment that has been repeated multiple times is used to calculate experimental probability.

Experimental probability = number of times Tani landed on a odd number  divided by the number of times the experiment was performed

6/ 20= 3/10.

Therefore here , both experimental and theoretical probabilities are equal.

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Answer: J

Step-by-step explanation: hope its correct

Hi!

The answer to your question would be J

Here's the math to prove it:

Step 1) You need to add all of the number of tiles together.

9+7+3+6=25

Step 2) You need to take each of your tile numbers and divide them by 25.

9/25=0.36 So F would be true

7/25=0.28 So G would be true

6/25=0.24 So H would be true

3/25=0.12 So J would be not true.

I hope this helps!

Have an amazing day/night!

God bless!

<33

Answer:

7238 units^3

Step-by-step explanation:

The formula for the volume of a sphere of radius 12 units is

V = (4/3)(pi)r^3.  

Here, with r = 12 units,

V = (4/3)(pi)(12 units)^3 = 7238 units^3

Answer:

V = 2304π units³

Step-by-step explanation:

V = (4/3)πr^3

V = (4/3)π(12)^3

V = (4/3)π(1728)

V = 2304π units³

Answer:

  C. 64 = 0.80 x n; 80

Step-by-step explanation:

In this context "of" means "times." The given relation can be translated to ...

  64 is 80% of what

  64 = 0.80 × what

If we let "n" represent the number that would answer "what", then this is ...

  64 = 0.80 × n

__

Dividing by the coefficient of n, we find the value of n to be ...

  64/0.80 = n = 80

55% of the claims are within one standard deviation of the mean claim size.

To find the percentage of claims that are within one standard deviation of the mean claim size, we first need to calculate the mean and standard deviation of the distribution.

The mean claim size is:

u = (20 × 0.10) + (30 × 0.10) + (40 × 0.10) + (50 × 0.20) + (60 × 0.15) + (70 × 0.10) + (80 × 0.25) = 54

The variance can be calculated as follows:

s^2 = [\((20-54)^{2}\) × 0.10] + [\((30-54)^{2}\) × 0.10] + [\((40-54)^{2}\) × 0.10] + [\((50-54)^{2}\) × 0.20] + [\((60-54)^{2}\) × 0.15] + [\((70-54)^{2}\) × 0.10] + [\((80-54)^{2}\) × 0.25] = 340

The standard deviation is the square root of the variance:

s = √340 ≈ 18.44

To find the percentage of claims that are within one standard deviation of the mean claim size, we need to find the range of claim sizes that fall within the interval (u - s, u + s).

(u - s) = 54 - 18.44 = 35.56

(u + s) = 54 + 18.44 = 72.44

We can see from the table that the claim sizes 40, 50, 60, and 70 fall within this range, and their probabilities add up to:

0.10 + 0.20 + 0.15 + 0.10 = 0.55

Therefore, 55 percentage of the claims are within one standard deviation of the mean claim size.

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The given expression 5x+3x²-7x³+2 is a cubic expression.

A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.

In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,

\(5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2\)

Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.

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u are cheating we must help

Answer:

2.5x10^5

Step-by-step explanation: