If 6 elephants eat 10 bales of hay, how many bales will 9 elephants eat?

Answer:

35

Step-by-step explanation:

Answer:

ZD = 10

Step-by-step explanation:

In a parallelogram

Let us solve the question

∵ ABCD is a parallelogram

∵ AC and DB are its diagonals

→ By using the 5th property above

∴ AC and BD bisect each other

∵ AC ∩ BD at point Z

→ That means Z is the midpoint of them

∴ Z is the midpoint of BD

→ That means Z divides BD into 2 equal parts BZ and ZD

∴ BZ = ZD

∵ BZ = 10

∴ ZD = 10

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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A cruise ships floats despites it mass because it is boyanty and experiences and upthrust

This principle states that "When a body is partially or totally imersed in a fluid, it experiences an upward force (Upthrust) which is equal to the volume of the fluid displaced"

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Answer:

m<E=22

Step-by-step explanation:

m<B and m<D are congruent therefore, m<D=68

m<C and m<E are congruent.

All interior angles if a rhombus adds up to 180 degrees.

So... 68+68=136

Subtract the 136 from 180

180-136=44

Because m<C and m<E are congruent divide 44 by two

44/2= 22

m<C and m<E equal 22

Answer:

-5

Step-by-step explanation:

6 - 5 = 1

so 6 + -5 is also equal to 1

Answer:

   q = -5

Step-by-step explanation:

Step  1  :  Simplify:  6/q

Step  2  :

Rewriting the whole as an Equivalent Fraction

Equation at the end of step  2  :

 (6 - q)    

 ——————— -  2  = 0  

    q      

Step  3  :

Rewriting the whole as an Equivalent Fraction

Step  4  :

Pulling out like terms

Answer:    q = -5

Hope this helps.

The exact circumference of the circle is π√200 in.

The approximate circumference of the circle is 14.42 in.

The exact area of the circle is 50π in².

The approximate area of the circle is 157.1 in².

The circumference of the circle is calculated as follows;

C = πD

where;

The diameter of the circle is calculated as follows;

the diameter of the circle = diagonal length of the suqare

The diagonal length of the square is calculated by applying Pythagoras theorem.

D² =  ( 10²  +  10² )

D² = 200

D = √ ( 200)

D = 14.14

The exact circumference of the circle is calculated as;

C = πD

C = π√200

The approximate circumference of the circle is calculated as;

C = π x 14.14

C = 14.42

The exact area of the circle is calculated as;

A = πr² = πD²/4

recall D² = 200

A = π (200/4)

A = π x 50 = 50π in²

The approximate area of the circle is calculated as;

A = πD²/4

A = π x (200/4)

A = 50π = 157.1 in²

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9514 1404 393

Answer:

  no

Step-by-step explanation:

If it were proportional, ratios of corresponding numbers would be the same.

  36/18 ≠ 30/12 ≠ 24/6

The relation is not proportional.

Answer:

see below

Step-by-step explanation:

1.

A = quantitative

B = qualitative

C = qualitative

D = quantitative

2.

A = statistical

B = non-statistical

C = non-statistical

D = statistical

3.

A =  high variability

B = low variability

C = high variability

D = low variability

Answer: you're a weird kid, thanks for the points.

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

896.700

Step-by-step explanation:

Answer: 1/9

Step by step explanation:

Answer:

1/9

Step-by-step explanation:

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Show Y is a Markov chain on E×E. and (b) Determine if the distribution of Y converges as n approaches infinity.

(a) To show that Y is a Markov chain on E×E, we need to demonstrate that it satisfies the Markov property. Since Y₁ = (X₁, X₁+1), the transition probabilities of Y depend only on the current state (X₁) and the next state (X₁+1). Therefore, Y satisfies the Markov property, and its transition matrix can be obtained from the transition matrix of X.

(b) Whether the distribution of Y converges as n approaches infinity depends on the properties of the Markov chain X. If X is a regular and irreducible Markov chain, then Y will converge to a stationary distribution.

However, if X is not regular or irreducible, the distribution of Y may not converge. To determine the limit distribution of Y, further analysis of the properties and characteristics of the Markov chain X is required.

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If there are 4 coins. You get a dollar for every head. All four coins are flipped. Then :

i) The possible outcomes of flipping four coins are:

4 heads (HHHH): you get 4 dollars

3 heads (HHHT, HHTH, HTHH, THHH): you get 3 dollars

2 heads (HHTT, HTHT, HTTH, THHT, THTH, TTHH): you get 2 dollars

1 head (HTTT, THTT, TTHT, TTTH): you get 1 dollar

0 heads (TTTT): you get 0 dollars

So there are 5 possible outcomes, and the probabilities of each are:

P(4 heads) = 1/2^4 = 1/16

P(3 heads) = 4/2^4 = 1/4

P(2 heads) = 6/2^4 = 3/8

P(1 head) = 4/2^4 = 1/4

P(0 heads) = 1/2^4 = 1/16

The expected value of your winnings is the sum of the products of each outcome and its probability:

E(X) = 4(1/16) + 3(1/4) + 2(3/8) + 1(1/4) + 0(1/16)

= 1/4 + 3/4 + 3/4 + 1/4 + 0

= 2.5 dollars

So the expected amount you will win from flipping four coins is 2.5 dollars.

ii) If you can choose to keep all of the flips or reflip all four coins, your decision should depend on the outcome of the first four flips. If you get 4 heads or 4 tails, there's no point in reflipping. If you get 3 heads or 3 tails, you should definitely reflip, since the probability of getting all heads or all tails is 1/2. If you get 2 heads and 2 tails, it's a bit trickier. In this case, the expected value of your winnings if you keep the flips is 2 dollars (the probability of getting 2 heads or 2 tails is 3/8 each, and the probability of getting 1 head and 1 tail is 1/4). The expected value of your winnings if you reflip is the same as in part i), which is 2.5 dollars. So, if you're risk-averse, you might choose to keep the flips and take the guaranteed 2 dollars. If you're a risk-taker, you might choose to reflip and hope for a higher payoff.

iii) If we have 1 coin and we get one dollar for every head you roll in a coin flip, the possible outcomes of flipping the coin 4 times are:

4 heads (HHHH): you get 4 dollars

3 heads (HHHT, HHTH, HTHH, THHH): you get 3 dollars

2 heads (HHTT, HTHT, HTTH, THHT, THTH, TTHH): you get 2 dollars

1 head (HTTT, THTT, TTHT, TTTH): you get 1 dollar

0 heads (TTTT): you get 0 dollars

So there are 5 possible outcomes, and the probabilities of each are the same as in part i).

The expected value of your winnings is the sum of the products of each outcome and its probability, multiplied by the value of a head:

E(X) = 4(1/16) + 3(1/4) + 2(3/8) + 1(1/4) + 0(1/16)

= 1/4 + 3/4 + 3/4 + 1/4 + 0

= 2.5 dollars

Since the value of a head is 1 dollar, the expected amount you will make with 4 flips is 2.5 dollars.

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The optimal sequence is 4, 3, 1, 2, and the total completion time is 25.

To schedule the jobs and minimize the total completion time, we can use the Johnson's rule algorithm. This algorithm works for scheduling jobs on two machines.

1. List the jobs and their processing times in a table, where each row represents a job and each column represents a machine.

Position | Job | Machine 1 | Machine 2

---------|-----|-----------|-----------

1        | 4   | 6         | 5

2        | 10  | 3         | 7

3        | 9   | 2         | 11

4        | 2   | -         | 7

2. Find the minimum processing time in the table. In this case, the minimum is 2.

3. Identify the position of the minimum processing time. In this case, it is in position 4.

4. If the minimum is in Machine 1 (column 3), schedule the corresponding job next. Otherwise, schedule the job in the previous position.

5. Repeat steps 2-4 until all jobs are scheduled.

Using Johnson's rule, the optimal sequence for the jobs is 4, 3, 1, 2. The total completion time can be calculated by summing the processing times of all jobs in the sequence.

Total Completion Time = 2 + 9 + 4 + 10 = 25

Therefore, the optimal sequence is 4, 3, 1, 2, and the total completion time is 25.

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The temperature drop is B. 3.968 degrees each hour.

The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.

The total steady drop in temperature = 24.8 degrees

Total number of hours for the temperature drop = 6¹/₄ hours

6¹/₄ hours = 6.25 hours

Temperature drop per hour = total drop/total hours of drop

= 2(4.8 ÷ 6¹/₄ hours)

= 3.968 degrees

Thus, the temperature drop is B. 3.968 degrees each hour.

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The integral of (4x^3 +6x) cos (x^4 + 3x^2+5) dx using the substitution u= (x^4 + 3x^2 + 5) is I = (1/4) sin (x^4 + 3x^2 + 5) + C.

We need to find the integral of `(4x^3 +6x) cos (x^4 + 3x^2+5) dx` by using the substitution method.

To solve the integral using the substitution method, We know that, if `f(g(x))` is a composite function, then ∫f(g(x))g'(x)dx = ∫f(u)du, where u=g(x).

Given integral is (4x^3 +6x) cos (x^4 + 3x^2+5) dx.

Let u = x^4 + 3x^2 + 5. Now differentiate 'u' w.r.t 'x', we get du/dx = 4x^3 + 6x Or,

du = (4x^3 + 6x)dx

Multiplying and dividing by '4' in the given integral, we get I = (1/4) ∫(4x^3 + 6x) cos (x^4 + 3x^2+5) dx.

Let u = x^4 + 3x^2 + 5.

Then we have du = (4x^3 + 6x)dx. Hence, the given integral I becomes I = (1/4) ∫cos u du.

Using the formula for ∫cos u du , we get∫ cos u du = sin u + c where c is a constant

Putting the value of 'u', we get I = (1/4) sin (x^4 + 3x^2 + 5) + C.

Hence, the solution is I = (1/4) sin (x^4 + 3x^2 + 5) + C

Thus, The integral of (4x^3 +6x) cos (x^4 + 3x^2+5) dx using the substitution u= (x^4 + 3x^2 + 5) is I = (1/4) sin (x^4 + 3x^2 + 5) + C.

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The p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis that the news is read equally for both age groups.

To test whether the proportion of individuals who read newspapers to find out the news is the same for both age groups, we can use a hypothesis test for two proportions. Let p1 be the true proportion of individuals who read newspapers in the age group 36-50, and let p2 be the true proportion of individuals who read newspapers in the age group over 50.

The null hypothesis is that the proportions are equal, i.e., H0: p1 = p2. The alternative hypothesis is that the proportions are not equal, i.e., Ha: p1 ≠ p2.

We can use a significance level of 5%, which means that we will reject the null hypothesis if the p-value is less than 0.05.

To conduct the test, we can calculate the sample proportions of individuals who read newspapers in each age group:

p-hat1 = 25/50 = 0.5

p-hat2 = 30/50 = 0.6

We can also calculate the pooled proportion, which is the weighted average of the two sample proportions:

p-hatp = (25 + 30) / (50 + 50) = 0.55

Using the sample proportions and the pooled proportion, we can calculate the test statistic:

z = (p-hat1 - p-hat2) / √(p-hatp × (1 - p-hatp) × (1/50 + 1/50))

= (0.5 - 0.6) / √(0.55 × 0.45 × (1/50 + 1/50))

= -1.52

The p-value for this test is the probability of getting a test statistic as extreme or more extreme than the observed value of -1.52, assuming the null hypothesis is true. Since this is a two-tailed test, we need to calculate the probability of getting a z-score less than -1.52 or greater than 1.52.

Using a standard normal table or a calculator with a normal distribution function, we can find the p-value:

p-value = P(Z ≤ -1.52) + P(Z ≥ 1.52) ≈ 0.129

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Therefore, the product of the radical expression (7 - sqrt(2))(8 + sqrt(2)) is 54 - sqrt(2).

To find the product of the given radical expression, we can use the FOIL method, which stands for First, Outer, Inner, Last.

(7 - sqrt(2))(8 + sqrt(2))

= 7(8) + 7(sqrt(2)) - (sqrt(2))(8) - (sqrt(2))(sqrt(2))

= 56 + 7sqrt(2) - 8sqrt(2) - 2

= 54 - sqrt(2)

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Answer:

n = 2

Step-by-step explanation:

14 = n

7       1

cross-multiply:  7n = 14

n = 2

Answer:

x² + 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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Answer:

24.2

Step-by-step explanation:

The perimeter is the sum of the sides:

10.5 + 7.4 + 6.3 = 24.2

Inverse operations to the rescue!

So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.