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:

120

Step-by-step explanation:

Answer:

57.75-(57.75*0.7)=17,325

Or 100-70=30

So 57.75*0.3=17.325

Answer:

$40.425

Step-by-step explanation:

hope it helps good luck

The answer is B

Hope this helps! i just learned this today lol

Answer:

y=4/3y -9

Step-by-step explanation:

just divide both sides of the equation by 3

Answer:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

Step-by-step explanation:

food 1    provides    8 mgrs  of vitamin

food 2   provides 24  mgrs  of  vitamin

food 3   provides  16  mgrs of vitamin

If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

Answer:

C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.

Step-by-step explanation:

The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.

In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.

The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.

A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.

A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

To learn more about population, please check: https://brainly.com/question/12982972

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

Answer:

( 2,0)

Step-by-step explanation:

The line crosses the Y intercept at the coordinates at (2,0)

Answer:

the y-intercept of the graph is 2

the ordered pair is (0,2)

Step-by-step explanation:

The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y)  (the x is always in the front)

So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

Answer:

1) Thousands

2) 5

3) ten million

4) 3,000,000

Step-by-step explanation:

Answer:

1.  hundred thousands

2. 5

3. ten millions

4.  3,000,000

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

Divide each term by  5.5  and simplify.

x = 3.2

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22

Answer:

16 1/2

Step-by-step explanation:

find the absolute value of both and add them, there's you answer

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

-16 1/2 units away

Answer:

wheres the table can you please provide one

Step-by-step explanation:

AnswerA= -4,000m

Step-by-step explanation:

1    35,000

2   31,000

3   27,000

4   23,000

Youre subtracting 4,000 everytime.

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

Answer:

y-1=3/2(x+3)

Step-by-step explanation:

Calculate the slope m of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m=2+4/2+2=6/4=3/2

Parallel lines have equal slopes.

The equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3/2 and (a, b) = (- 3, 1), thus

y - 1 = 3/2 (x - (- 3)), that is

y - 1 = 3/2 (x + 3) ← equation in point- slope form

Answer:

Unlikely, the probability is close to 0

Step-by-step explanation:

Given

[tex]Transmission = 15\%[/tex]

Required

Determine the likelihood

The given probability, 0.15 is close to 0. This implies that the event is unlikely.

From the list of given options, option C answers the question

Answer:

8 x (1.5EE6)

Step-by-step explanation:

Answer:

Each battery costs .5 dollars or 50 cents

Step-by-step explanation:

6/12=.5

Answer:

total units 12

cost per unit $ 0.5000

Step-by-step explanation:

Hope this helps! :)

Answer:

The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Step-by-step explanation:

Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.

We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:

[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)

Where:

[tex]A(x,y)[/tex] - Original vector, dimensionless.

[tex]U(x,y)[/tex] - Translation vector, dimensionless.

[tex]A(x',y')[/tex] - Translated vector, dimensionless.

If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:

[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)

If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:

[tex]A(x',y') = (4,7)+(5,-3)[/tex]

[tex]A(x',y') = (9, 4)[/tex]

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

Answer:

It will take 6.4 minutes for Cedrick to type 1 full page of the report.

Step-by-step explanation:

1. First, we want to find out how long it takes Cedrick to type 1/8 of a page. If it takes him 4 minutes to write 5/8 of a page, we can do 5/8 divided by 5, which equals 1/8. We also have to divide 4 by 5 which equals 4/5. So, it takes Cedrick 4/5 of a minute to write 1/8 of a page.

2. We now want to find out how long it takes him to write one page, so we should multiply 1/8 and 4/5 by 8. 1/8 times 8 equals one, and 4/5 times 8 equals 32/5. That means that it takes 32/5 (in decimal form it is 6.4) minutes to write one page of the report.

Cedrick will type one whole page of the report in 6.4 minutes.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Cedrick is writing a report. It takes him 4 min to type 5/8 pages of the report.

In the beginning, we need to ascertain how long it takes Cedrick to type 1/8 of a page. We can do 5/8 divided by 5 to get 1/8 if it takes him 4 minutes to write 5/8 of a page.

Additionally, we must divide 4 by 5, which is 4/5. Cedrick, therefore, needs 4/5 of a minute to complete 1/8 of a page.

We need to multiply 1/8 and 4/5 by 8 to get how long it takes him to write one page. 8 divided by 1/8 = 1, while 8 multiplied by 4/5 equals 32/5.

This suggests that writing one page of the report requires 32/5 (6.4 in decimal form) minutes.

To know more about an expression follow

https://brainly.com/question/14145813

#SPJ2

Answer:

x = 2 ± √ 3

Step-by-step explanation:

Density ρ is equal to mass m per unit volume v, or

ρ = m / v

Solve for volume:

v = m / ρ

(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of

v = (890 g) / (8.9 g/cm³) = 100 cm³

100 g of zinc, with density 7.1 g/cm³, has a volume of

v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³

(b) The density of brass is then

ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³

Answer:

(1.)3.5 (2.)-3 (3)0

Step-by-step explanation:

if right comment please

Answer:

61.25

Step-by-step explanation:

48 goes into 2940 that many times.

Hope this helped :)

Answer:

61.25

Step-by-step explanation:

2,940 / 48 = 61.25

Hope this helps.

Answer:

The first one is C the second and third are correct.

Step-by-step explanation:

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

(a) I suppose this is asking for the determinant of the coefficient matrix.

[tex]\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}[/tex]

Using a cofactor expansion along the first row, this reduces to

[tex]0\begin{vmatrix}2&-1\\-2&0\end{vmatrix}-(-3)\begin{vmatrix}1&-1\\5&0\end{vmatrix}+7\begin{vmatrix}1&2\\5&-2\end{vmatrix}= 3(0 - (-5))+7(-2-10)=\boxed{-69}[/tex]

(b) Using Cramer's rule, we have

[tex]x_1=\dfrac{\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_2=\dfrac{\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_3=\dfrac{\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

That is, solving for n-th variable consists of dividing [the determinant of the coefficient matrix with its n-th column replaced with the right side of the system, the numbers in boldface,] by [the determinant of the coefficient matrix].

Compute each determinant:

[tex]\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}=3\begin{vmatrix}2&-1\\-2&0\end{vmatrix}+3\begin{vmatrix}-3&7\\2&-1\end{vmatrix}=3(0-2)+3(3-14)=-39[/tex]

(expanding along the first column)

[tex]\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}=-1\begin{vmatrix}3&7\\3&0\end{vmatrix}+5\begin{vmatrix}3&7\\0&-1\end{vmatrix}=-1(0-21)+5(-3-0)=6[/tex]

(again, along the first column)

[tex]\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}=-1\begin{vmatrix}-3&3\\-2&3\end{vmatrix}+5\begin{vmatrix}-3&3\\2&0\end{vmatrix}=-1(-9-(-6))+5(0-6)=-27[/tex]

(first column)

So, we get the solution

[tex]x_1=\dfrac{-39}{-69}=\boxed{\dfrac{13}{23}},x_2=\dfrac6{-69}=\boxed{-\dfrac2{23}},x_3=\dfrac{-27}{-69}=\boxed{\dfrac9{23}}[/tex]

(c) Using elimination:

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

Swap the first two equations:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

5 x₁ - 2 x₂ = 3

Add -5(equation 1) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 12 x₂ + 5 x₃ = 3

Add -4(equation 2) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 23 x₃ = -9

Multiply through equation 3 by -1/23:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

x₃ = 9/23

Add -7(equation 3) to equation 2:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ = 6/23

x₃ = 9/23

Multiply through equation 2 by -1/3:

x₁ + 2 x₂ - x₃ = 0

x₂ = -2/23

x₃ = 9/23

Add -2(equation 2) and equation 3 to equation 1:

x₁ = 13/23

x₂ = -2/23

x₃ = 9/23

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve