Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min

Answer:

B and D

Step-by-step explanation:

"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

[tex]\frac{1}{4} \times 200 = 50[/tex]

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]

c)The expected number of grams to be eaten before encountering the first fragments :

[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s

Answer:

It would be x + 3y = -27.

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Answer:

divide by 2 equals 30.5 minus 7 equals to 23,5

Step-by-step explanation:

smaller is 23,5

B is 37.5

Answer:

Hi, there--

THE PROBLEM:

We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%

per year. How much did we invest into each account if after the first year, the combined

interest from the 2 accounts is $1238?

A SOLUTION:

Define Variables:

Let x be the amount you originally invested in the first account.

Let y be the amount you originally invested in the second account.

Write Expressions and Equations:

Since you invested a total of $10,00 in two accounts. An equation that represents this is

x + y = 10000

One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is

0.14. An expression for the amount of interest you earn after the first year in this account is

0.14x.

The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount

of interest you earn after one year in this account is 0.08y.

The combine interest from both account after one year is $1238. An equation representing

the total interest earned is

0.14x + 0.08y = 1238

Now we have a system of two equations with two variables. We can solve for x and y. Rewrite

the first equation in "y=" form.

x + y = 10000

y = 10000 - x

Substitute 10000-x for y in the second equation.

0.14x + 0.08y = 1238

0.14x + 0.08(10000 - x) = 1238

Solve this equation for x. Use the Distributive Property to clear parentheses.

0.14x + 800 - 0.08x = 1238

Combine like terms (0.14x-0.08x is 0.06x).

0.06x + 800 = 1238

Subtract 800 to both sides to isolate x on the left.

0.06x = 1238 - 800

0.06x = 438

Divide both sides of the equation by 0.06.

x = 438/0.06

x = 7300

In the context of this problem, x=7300 means that you invested $7300 in the first account.

Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.

Check your work by verifying that these amounts will yield the correct amount of interest.

Substitute 7300 for x and 2700 for y in the interest equation.

0.14x + 0.08y = 1238

0.14(7300) + 0.08(2700) = 1238

1022 + 216 = 1238

1238 = 1238

Check!

Hope this helps! Feel free to email if you have any questions about the

Answer:C

Step-by-step explanation:

Answer:

6 1/6

Step-by-step explanation:

six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6

Answer:

the anwer is 5*6

Answer: A.) 4 people

Step-by-step explanation:

Answer:

The first and the third one are correct.

Step-by-step explanation:

Answer: 1 & 3 are proportional relationships

Answer:

965314

Step-by-step explanation:

Please mark me brainlest and hope that help (=

Answer: B

Step-by-step explanation:

just took the quiz

A rising unemployment rate affect a society by making it harder for citizens to find jobs.

The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.

As, we know that unemployment means the shortage of jobs for the citizens.

So, rising unemployment rate in society creating trouble for the citizens to find jobs.

Learn more about unemployment here:

https://brainly.com/question/14227610

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Answer: {No Solution}

Step-by-step explanation:

Answer:

29 units..

Step-by-step explanation:

well i don't know how to insert an image of the answer...but I did it...its (c): 29 units

Answer:

20

Step-by-step explanation:

its 20 but i.need to explain so 180-110-40=20

Answer:

-8 < 8

Step-by-step explanation:

-8 is less than 0 so it is definitely less than 8

Hope this helped :)

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]

The amount of calories in one serving of milk is 110 calories

Answer:

Pyrotechnics are self-contained, self -sustained explosions, fires, flames, and fireworks used in live performances, film, and other forms of entertainment. Pyrotechnics/sounds, combined together have changed the filming industry by making special effects more realistic and experiential to the viewer. This has allowed these types of effects to be done safety.

Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.

Here is the question, a definition of pyrotechnics has been asked.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Explosions, fires, flames, and fireworks that are self-contained, and self-sustaining are known as pyrotechnics and are utilized in live performances, movies, and other forms of entertainment. By enhancing the viewer's sense of realism and immersion in the special effects, fireworks and sounds have transformed the cinema industry. This has made it possible to perform these kinds of effects safely.

Thus, Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.

Learn more about arithmetic here:

https://brainly.com/question/11559160

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Answer:

-1

Step-by-step explanation:

When you make the number line, go to the middle then move left once. Then mark that  " -1 " and you put the dot over that.

It's hard to explain how to write number lines.

Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.

Mark brainliest if possible please :)

Answer:

nope

Step-by-step explanation:

Answer:

no they are not

I think D represents the height, i don't know that for sure but yoy can try?

Answer:

Well d because there is a line going from bottom to top of the cone next to the D

Step-by-step explanation:

Answer:

1000-20

Step-by-step explanation:

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

L is the length of the rectangle:

W is the width of the rectangle.

Given

Perimeter = 214feet

If the length is 41 ft longer than the width, then L = 41+W

Substitute L = 41+W into the formula:

P = 2(L+W)

214 = 2(41+W+W)

214 = 2(41+2W)

214 = 82+4W

4W = 214-82

4W = 132

W = 132/4

W = 33 feet

Since L = 41+W

L = 41+33

L = 74 feet

Hence the dimension of the field is 74ft by 33ft

The width of the playing field is 33feet

Answer:

a) -16

b)7

c) -4

d) 9

Step-by-step explanation:

by solving

Answer:

* 27x=9 * x=9/27 ithink so srry if you get wrong

Step-by-step explanation: