[(3 + 2)²×2] -(6-3)²​

By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

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Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

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Answer:

The answer should be 10:7.

Hey there!

40:28

= 40 ÷ 2 : 28 ÷ 2

= 20 : 14

= 20 ÷ 2 : 14 ÷ 2

= 10 : 7

Therefore, your answer is: 10:7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

m=75/11 or 6 9/11

Step-by-step explanation:

First, you subtract 25 from both sides.

11m=75

Then, divide by 11.

m=75/11, 6 9/11 or 6.81 repeating (rounds to 6.82)

The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.

Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.

Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.

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Answer:

Step-by-step explanation:

to ez its =12

Answer:

it's 72

Step-by-step explanation:

length x height x base

6x3x4

6x3= 18

18x4=72

Explanation:

This is after using the nCr combination formula

\(_n C _r = \frac{n!}{r!*(n-r)!}\)

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

please solve this question 4²×3³×(-1)¹²²

\(__________________________\)

64 x 0.5 oz = 32 oz

Therefore, 64 bags of pretzels contains 32 oz of pretzels.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.

Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.

Payoffs are as follows:

u1(s1,s2)=1−[s1 −(1/2)s2]^4

uA2(s1,sA2)=100−[sA2 −s1−1/4]^2

uB2 (s1,sB2 )=100−[sB2 −s1]^2.

To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.

A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.

This is a refinement of the Nash equilibrium that takes into account the players' information about the game.

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The probability of getting more than one success in five trials with a probability of success of 0.05 on each trial is 0.0207. a. To find P(r=0), we use the binomial probability formula: P(r=0) = (n choose r) * p^r * (1-p)^(n-r)

Where n is the number of trials, p is the probability of success on a single trial, and r is the number of successes. We want to find, and (n choose r) is the binomial coefficient which represents the number of ways to choose r items from a set of n items. In this case, n = 5, p = 0.05, and we want to find P(r=0). Using the formula above, we get:

P(r=0) = (5 choose 0) * 0.05^0 * (1-0.05)^(5-0)

= 1 * 1 * 0.9512

= 0.7744

Therefore, the probability of zero successes in five trials with a probability of success of 0.05 on each trial is 0.7744.

b. To find P(r > 1), we use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, we want to find the probability of getting more than one success, so we will find the probability of getting one or fewer successes and subtract that from 1.

P(r > 1) = 1 - P(r ≤ 1)

To find P(r ≤ 1), we can use the binomial probability formula again:

P(r ≤ 1) = P(r=0) + P(r=1)

= (5 choose 0) * 0.05^0 * (1-0.05)^(5-0) + (5 choose 1) * 0.05^1 * (1-0.05)^(5-1)

= 0.7744 + 0.2049

= 0.9793

Therefore, P(r > 1) = 1 - P(r ≤ 1) = 1 - 0.9793 = 0.0207.

The probability of getting more than one success in five trials with a probability of success of 0.05 on each trial is 0.0207.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

I think favorable outcomes are just the outcomes

which is 6

SR, SB, MR, MB, LR, LB

Step-by-step explanation:

Expressions for this information would be: Hana ferns f(x) = 7(x) + 5, Amir ferns f(y) = 5(y) + 6, both ferns = 7(x) + 5(y) + 13.

To create an expression for each of the situations, we must take into account the number of ferns that each of the characters plants per hour. Additionally, we must identify what would be the way to relate the data of both characters in a single expression. According to the above, the expressions would look like this:

In this expression, the x is multiplied by 7 because that is the number of plants you plant per hour; and the +5 represents the number of plants you planted the day before.

In this expression, the Y is multiplied by 5 because that is the number of plants you plant per hour; and the +6 represents the number of plants you planted the day before.

Finally, the expression that would represent both situations would be:

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For each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.

To prove that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers, we will use strong induction. The base case will be n = 44, and we will assume that the statement holds for all natural numbers up to k, where k > 43. Then we will prove that it holds for k+1.

Base Case:

For n = 44, we can express it as:

44 = 6(1) + 9(1) + 20(1) + 15

Inductive Hypothesis:

Assume that for every natural number m, where 44 ≤ m ≤ k, we can express m as:

m = 6x + 9y + 20z + 15

for some nonnegative integers x, y, and z.

Inductive Step:

We need to prove that for k+1, we can express it in the given form.

For k+1, there are three cases to consider:

Case 1: k+1 is divisible by 6

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x + 1, y' = y, and z' = z. Since k+1 is divisible by 6, we can add one more 6 to the expression.

Case 2: k+1 is divisible by 9

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x, y' = y + 1, and z' = z. Since k+1 is divisible by 9, we can add one more 9 to the expression.

Case 3: k+1 is not divisible by 6 or 9

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x + 2, y' = y + 1, and z' = z - 1. By adding 26, 19, and subtracting 1*20, we can obtain k+1.

Thus, we have shown that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers.

Now, let's prove that 43 cannot be written in this form. If we assume that 43 can be expressed as:

43 = 6x + 9y + 20z + 15

Simplifying the equation:

28 = 6x + 9y + 20z

Considering the equation modulo 3, we have:

1 ≡ 0 (mod 3)

This is a contradiction since 1 is not congruent to 0 modulo 3. Therefore, 43 cannot be written in the given form.

In conclusion, we have proven by strong induction that for each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.

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The length of ST obtained using Pythagorean Theorem is about 13.2 units

Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is the sum of the square of the other two legs of the triangle.

The length of the segment \(\overline{PR}\) = 18

\(\overline{RS}\) = \(\overline{SP}\) = 16 (Radial length of the same circle)

Triangle ΔSRP is an isosceles triangle, therefore, ∠SRP ≅ ∠SPR

\(\overline{ST}\) ≅ \(\overline{ST}\) (Reflexive property of congruence)

Triangles ΔRST and ΔPST are congruent by the Hypotenuse Leg, HL rule of congruent triangles

Therefore; RT ≅ PT

RT + PT = 18

RT + RT = 18

2 × RT = 18

RT = 18/2 = 9

RT = 9

Therefore, ST, can be obtained using Pythagoras Theorem as follows;

ST = √(16² - 9²) = 5·√7 ≈ 13.2

The length of the side ST is about 13.2 units long

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Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

Answer:

\(x = 7.2\)

Step-by-step explanation:

\( \frac{16}{x} - 4 = \frac{4}{9} \\ \frac{16}{x} = \frac{4}{9} + 4 \\ \frac{16}{x} = \frac{4}{9} + \frac{4 \times 9}{1 \times 9} \\ \frac{16}{x} = \frac{4 + 36}{9} \\ \frac{16}{x} = \frac{40}{9} \\ use \: \: \: cross \: \: multipication \\ 16 \times 9 = 40x \\ \frac{16 \times 9}{40} = x \\ 7.2 = x\)

Hope this helps you.

Let me know if you have any other questions :-):-)

Given

Find

NQ

Explanation

As we see ,

NQ = NP + PQ

NP = 1 1/4 in

PQ = 1 in

so ,

NQ =

Final Answer

Hence , the length of NQ is 2 1/4 in

Answer:

a = 52

Step-by-step explanation:

if a is the number, 5a - 10 = 10(12 + 1/4a)

5a - 10 = 120 + 2.5a

2.5a = 130

a = 52

Answer:

8

Step-by-step explanation:

I attached my answer........

The cliff divers dive headfirst from the top of cliff. 1/2 or 0.5 second is the time period will the diver's height exceed that of the cliff.

An object that moves along the vertical axis due to gravitational acceleration is called a free-falling object. The free fall position is given by the following equation of motion:

yₜ = y₀ + v₀t + 1/2(at²)

Where y₀--> the initial height of the object

v₀--> the initial velocity

t --> time

a --> the acceleration due to gravity and is equal to a = g = - 32.2 ft²/sec

We have given that,

Initial velocity of divers , v₀ = 8 feet/sec

Initial Height of top of cliff , s₀ = 87 feet

position function, s(t) = - 16t²+ v₀t +s₀

Plugging all known values in above position function,

s(t) = -16 t² + 8t + 87

The the diver's height exceed that of the cliff means, s(t) > 87

=> -16 t² + 8t + 87 > 87

Subtract 87 from both sides, we get

-16t^2 + 8t > 0 , now we solve this inequality by changing it in a equality,

-16 t² + 8t = 0

=> -8 t( 2t - 1) = 0 => -8t = 0 , 2t -1 = 0

=> either t = 0 or t = 1/2

So the first half second, the person is above the height of the cliff.

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Complete question:

Use the position function s(t)-16t2+ vot +so position, t time) to answer the following: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet above the Pacific Ocean. During which time period will a diver's height exceed that of the cliff? (vo initial velocity, so initial.

Answer:

3.6

Step-by-step explanation:

Answer:

the are equal

Step-by-step explanation:

they are ewaul because 70.240 is basically saying 70.24 but adding a zero

Answer:

This statement is supposed to be 70.24=70.240 instead of 70.24>70.240 since it is basically the same thing just an zero added at the end. pls if helpful, mark me brainliest. Have a great day!

Step-by-step explanation:

Answer:

a. Elena has fewer roses than Lin. Lin has 6 roses and Elena has x roses.

Step-by-step explanation:

Answer:

cos x = 30/34 or 15/17

Step-by-step explanation:

SOH CAH TOA

side a is 30 (adjacent)

side h is 34 (hypotenuse)

cos= a/h

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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