PLEASE HELP ASAP I HAVE 10 MIN 30 PTS
A 72. 0-gram piece of metal at 96. 0 °C is placed in 130. 0 g of water in a calorimeter at 25. 5 °C. The final temperature in the calorimeter is 31. 0 °C. Determine the specific heat of the metal. Show your work by listing various steps, and explain how the law of conservation of energy applies to this situation. ​

Answer: -5,000,000 is your answer

hope this helps :)

Answer:

N, M, P

Step-by-step explanation:

The smallest angle is opposite the shortest side

The largest angle is opposite the longest side

Thus

∠ N is opposite the shortest side MP = 10

∠ P is opposite the longest side MN = 18

From smallest to largest, then

∠ N, ∠ M, ∠ P

Answer:

coordinates:

1.) (-2,-7)(-1,-6)(0,-5)(1,-4)(2,-3)

2.)(-6,-11)(-4,-8)(0,-2)(4,4)(6,7)

Step-by-step explanation:

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Based on the assumption of independence, the expected number of people in the box U.S. South and Plays Golf is 17.5.

What is number?

A number is a mathematical concept used to quantify and measure quantities. It represents a value or a magnitude in mathematics. Numbers can be used for counting, calculating, and comparing quantities.

To determine the expected number of people in the box U.S. South and Plays Golf under the assumption of independence between region and golf-playing, we need to calculate the expected value based on the row and column totals.

The expected value for a cell in a contingency table is calculated using the formula:

Expected Value = (Row Total * Column Total) / Overall Total

Let's apply this formula to the given table for the U.S. South and Plays Golf cell:

Row Total for U.S. South = 50 (from the row total)

Column Total for Plays Golf = 70 (from the column total)

Overall Total = 200 (from the total)

Expected Value = (50 * 70) / 200

Calculating this expression, we have:

Expected Value = 3500 / 200

Expected Value = 17.5

Therefore, based on the assumption of independence, the expected number of people in the box U.S. South and Plays Golf is 17.5.

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Answer: The critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Step-by-step explanation:

To find the critical points of g(t), we need to find the values of t where the derivative dg(t)/dt is equal to zero or does not exist.

Using the given information, we have:

dg(t)/dt = 4ct^3 + 2dct

Setting this equal to zero, we get:

4ct^3 + 2dct = 0

Dividing both sides by 2ct, we get:

2t^2 + d = 0

Solving for t, we get:

t = ±sqrt(-d/2)

Therefore, the critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Note that we also need to assume that c is nonzero, since if c = 0, then dg(t)/dt = 0 for all values of t and g(t) is not differentiable.

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

Yes, this equation represents a direct variation equation

constant of variation = 2

=========================================================

Explanation:

Let's solve for y

y - 6 = 2(x-3)

y - 6 = 2x - 6

y - 6+6 = 2x - 6+6

y + 0 = 2x + 0

y = 2x

The equation is in the form y = kx which fits a direct variation equation. The constant of variation is k = 2.

Answer: y=-1/6x+2

Step-by-step explanation: The point goes through (0,2), aka, the b point in y=mx+b (The slope intercept form). Then because it’s proceeding downwards, we know that the slope is negative. So down one, over 6. This make its -1/6.

i) Xi(f) = 5rect(f/2007)e^(-j2πft) | ii) Xz(f) = 5rect((f-400)/2007) | iii) X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f)) | iv) X(f) = 5rect(f/5)

we'll use properties of the Fourier transform and the given function x(t) = 5sinc(2007).

i) For xi(t) = -4x(t-4):

Using the time shifting property of the Fourier transform, we have:

Xi(f) = X(f)e^(-j2πft)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Thus, substituting the values, we have:

Xi(f) = 5rect(f/2007)e^(-j2πft)

ii) For xz(t) = e^(j400)lx(t):

Using the frequency shifting property of the Fourier transform, we have:

Xz(f) = X(f - f0)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f0 = 400, we have:

Xz(f) = 5rect((f-400)/2007)

iii) For X3(t) = 1 - 3x(t) + 1400xlx(t):

Using the linearity property of the Fourier transform, we have:

X3(f) = F{1} - 3F{x(t)} + 1400F{x(t)x(t)}

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Using the Fourier transform properties, we have:

F{x(t)x(t)} = X(f) * X(f)

Substituting the values, we have:

X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f))

iv) For X(t) = cos(400ft)x(t):

Using the modulation property of the Fourier transform, we have:

X(f) = (1/2)(X(f - 400f) + X(f + 400f))

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f = 400f, we have:

X(f) = 5rect((400f)/2007)

Simplifying, we have:

X(f) = 5rect(f/5)

To sketch the magnitude spectrum, Xo(f), we plot the magnitude of the Fourier transform for each case using the given formulas and the properties of the Fourier transform.

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You have to divide 36 by 3 which is 12 meters.

Answer:

27 meters

Step-by-step explanation:

\(36 = 4 \\ x = 3 \\ 3 \times 36 = 4 \times x \\ 108 = 4x \\ \frac{108}{4} = \frac{4x}{4} \\ x = 27 \\ therefore \: it \:can \: swim \: 27meters\)

Answer:

3rd choice

Step-by-step explanation:

subtracted both sides by 2

Answer:

64x

Step-by-step explanation:

Hello!

Using the exponent rule \(\frac{a^b}{a^c} = a^{b - c}\), we can simplify the fraction.

The simplified expression is 64x.

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

The margin of error can be calculated as half the width of the confidence interval. So, the margin of error is:

(0.257 - 0.183) / 2 = 0.037

Therefore, the answer is (a) 0.037.
The margin of error for this confidence interval can be calculated by finding the difference between the upper bound and the lower bound, and then dividing by 2.

In this case, the confidence interval is (0.183, 0.257).

Margin of error = (0.257 - 0.183) / 2 = 0.074.

So the answer is b. 0.074.

The margin of error is a measure of the precision of an estimate or a statistic, often used in opinion polls and surveys. It represents the amount of sampling error that is expected in the results due to random variation.

In statistical terms, the margin of error is calculated as a range of values around the estimated statistic, within which the true population parameter is likely to fall with a certain degree of confidence. The most common way to express the margin of error is as a plus or minus value, typically represented as a percentage of the sample size.

For example, if a survey of 1,000 people finds that 60% of them support a particular political candidate, with a margin of error of +/- 3%, this means that there is a 95% chance that the true level of support in the population falls between 57% and 63%. In other words, if the survey were to be repeated many times, 95% of the resulting confidence intervals would contain the true level of support.

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(a) 11.51 percent of tommy's times between pitches are longer than 39 seconds.

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell-shaped curve represents the probability.  

How to use z-table?

Step 1: In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.9 1.4, 2.2, 0.5, etc.)

Step 2:Then look up at the top of the z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.95 then go for the 0.05 column)

Step 3:Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2. We want to find out the probability that what percentage of his times between pitches are longer than 31 seconds.

Here, In the given question: we have,

Mean=36 seconds

Standard deviation = 2.5 seconds

So,

For x>39

We want to find out the probability that what percentage of his times between pitches are longer than 39 seconds.

\(\begin{aligned}&P(X > 39)=1-P(X < 39) \\&P(X > 39)=1-P\left(Z < \frac{x-\mu}{F}\right) \\&P(X > 39)=1-P\left(Z < \frac{39-36}{2.5}\right) \\&P(X > 31)=1-P\left(Z < \frac{3}{2.5}\right) \\&P(X > 39)=1-P(Z < 1.2)\end{aligned}\)

The z-score corresponding to 1.2 is 0.8849

\(\begin{aligned}&P(X > 39)=1-0.8849 \\&P(X > 39)=0.1151 \\&P(X > 39)=11.51 \%\end{aligned}\)

Therefore, 11.51% of his times between pitches are longer than 39 seconds.

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Answer:

15, 16,31

Step-by-step explanation:

The rule is that each time you add by 7, like in the first 2.  4+7=11 and 7+7=14

According to the given information the integral of the quantity g(x) - f(x) from 1 to 5 is -10.

Addition is a mathematical operation that involves combining two or more numbers or quantities to obtain a total or sum. In basic arithmetic, addition is represented by the plus sign (+), and is typically performed by adding the individual values together. For example, the sum of 2 and 3 is 5, which can be written as 2 + 3 = 5. Addition can also be performed with negative or decimal numbers, and can be extended to more complex mathematical structures such as matrices and vectors.

In calculus, the linearity property of integrals states that the integral of a sum or difference of functions is equal to the sum or difference of their integrals. That is, for any two functions f(x) and g(x) and constants a and b, we have:

∫[a,b] (f(x) ± g(x)) dx = ∫[a,b] f(x) dx ± ∫[a,b] g(x) dx

Using this property, we can rewrite the given integral as:

∫[1,5] (g(x) - f(x)) dx = ∫[1,5] g(x) dx - ∫[1,5] f(x) dx

We are given that ∫[1,5] f(x) dx = 6 and ∫[1,5] g(x) dx = -4. Substituting these values, we get:

∫[1,5] (g(x) - f(x)) dx = (-4) - 6 = -10

Therefore, according to the given information the integral of the quantity g(x) - f(x) from 1 to 5 is -10.

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The probability that P(X1 < X2 < X3) is 1/8.

We can solve this problem using the fact that if X1, X2, X3 are independent exponential random variables with the same rate parameter λ, then the joint density function of the three variables is given by:

f(x1, x2, x3) = λ^3 e^(-λ(x1+x2+x3))

We want to find the probability that X1 < X2 < X3. We can express this event as the intersection of the following three events:

A: X1 < X2

B: X2 < X3

C: X1 < X3

Using the joint density function above, we can compute the probability of each of these events using integration. For example, the probability of A is:

P(X1 < X2) = ∫∫ f(x1, x2, x3) dx1 dx2 dx3

= ∫∫ λ^3 e^(-λ(x1+x2+x3)) dx1 dx2 dx3 (integration over the region where x1 < x2)

= ∫ 0^∞ ∫ x1^∞ λ^3 e^(-λ(x1+x2+x3)) dx2 dx3 dx1

= ∫ 0^∞ λ^2 e^(-2λx1) dx1 (integration by substitution)

= 1/2

Similarly, we can compute the probability of B and C as:

P(X2 < X3) = 1/2

P(X1 < X3) = 1/2

Note that these probabilities are equal because the three exponential random variables are identically distributed.

Now, to compute the probability of the intersection of these events, we can use the multiplication rule:

P(X1 < X2 < X3) = P(A ∩ B ∩ C) = P(A)P(B|A)P(C|A∩B)

Since A, B, and C are independent, we have:

P(B|A) = P(B) = 1/2

P(C|A∩B) = P(C) = 1/2

Therefore:

P(X1 < X2 < X3) = (1/2)(1/2)(1/2) = 1/8

Thus, the probability that X1 < X2 < X3 is 1/8.

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Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer: 4x^6

Step-by-step explanation:

Para responder esta pregunta debemos conocer que es un monomio, su grado y el coeficiente.

Un monomio es un polinomio que posee 1 solo termino, el grado se refiera a la potencia a la que esta elevada la variable (en este caso usaremos la letra x)

El coeficiente es el número que está a la izquierda de una variable:

Entonces:

Monomio de grado 6 y coeficiente 4

4x^6

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Explanation:

Characteristics about an equation are slope, intercepts, and things like that.

Part D of each problem is just referring to part a, b, and c

So, Part D is basically asking you to show your work, to explain slope-intercept equation, make observations about the problem, etc.

Hope I helped! :)

The statement "the t distribution is a family of similar probability distributions" is True.

The t-distribution is indeed a family of similar probability distributions. It is used in statistics to model the distribution of a random variable when the sample size is small and the population standard deviation is unknown. The shape of the t-distribution depends on the degrees of freedom, which is determined by the sample size. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution.

The t-distribution is symmetric and bell-shaped like the normal distribution, but it has heavier tails, which means it has more probability in the tails and less in the center compared to the normal distribution. The t-distribution plays a crucial role in hypothesis testing and constructing confidence intervals when working with small samples.

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Answer:

63 mph

Step-by-step explanation:

Given:

To find:

Solution:

Step-by-step explanation:

Total time taken by car to travel :12hrs

1st half:7hrs (which is to go)

Avg speed by car in 1st half :45mph

To find the avg speed at return time is

12-7 =5hrs (we did this to find time taken to return from or (-) total time of journey )

Total dist traveled to go will be

7x45=315mph therefore 315 m was covered to go.

Distance on return triip would be same as 315 because he is returning back along the same path

So formula for speed is s=d/t

On substitute

S=315/5. = 63mph

There fore the avg speed on return trip will be 63mph.

To verify,

We know total dist traveled (315) m

So 63x 5=315 therefore prooved 63 mph was the avg speed

Note*: in above context m means miles and not meters

Please mark it as brainliest!

Thanks.

The modal height of the boys is 140 cm.

Modal height is defined as the most common height or the number that appears most frequently in a set of data.

The height of some boys were measured in cm as follows: 120, 140, 124, 140, 216.

The most frequently occurring height is 140 cm, which means that the modal height is 140 cm.

We can observe that 140 cm appears twice, which is more than any other height in the data set.

Therefore, it is the modal height. Modal height is the most common height or the height that appears most frequently in a data set.

The height of some boys were measured in cm as follows: 120, 140, 124, 140, 216.

The height that appears most often is 140 cm, indicating that the modal height is 140 cm.

We can see that 140 cm appears twice, which is more than any other height in the data set.

Therefore, the most frequently occurring height is 140 cm.

To put it another way, modal height is a term used in statistics to describe the most frequent height, score, or value in a data set. It is the value that appears most frequently in the dataset

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