An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?

Answers

Answer 1

9514 1404 393

Answer:

  43.2 grams

Step-by-step explanation:

The exponential equation for the decay can be written as ...

  amount remaining = (initial amount)(1 -decay rate)^t

  = 570(1 -0.18)^t

We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...

  amount remaining = 570(0.82^13) ≈ 43.2 . . . grams


Related Questions

Austin makes $7.75 per hour at his job at the car wash. How many full hours does Austin need
to work to make $100?

Answers

Answer:

13 full hours

Step-by-step explanation:

Divide.

100 / 7.75 ≈ 12.9

He needs to work FULL hours, so round up.

12.9 -> 13

Best of Luck!

Answer:

He would need to work 13 hours.

Explanation:

If you divide 7.75 from 100 you will get a decimal of 12.9032258065 but if we round then it would be 13 meaning that the answer is 13 hours.

A is what percent of B?
A = 2 qt, B = 2 gal

Answers

Step-by-step explanation:

4qt=1gal

8qt=2gal

percent of b=a

x%times b=a

x%=a/b

x%=2/8

x%=1/4=25%

answer" 25%.

find the quotient 5/6 divided by 2

Answers

Answer:

0.41666666666

Step-by-step explanation:

I used a calculator.

5/6 / 2
= 5/6 x 1/2
= 5/12

HELP PLS
What is the slope of the line that passes through (1, 4) and (-3, -3)?

Answers

Answer:

y=7/4x+9/4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,4) and (-3,-3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,

Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,

Now, just plug the numbers into the formula for m above, like this:

m=  

[tex]\frac{-3-4}{-3-1}[/tex]

m= 7/4

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=7/4x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,4). When x of the line is 1, y of the line must be 4.

(-3,-3). When x of the line is -3, y of the line must be -3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.

(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,4) and (-3,-3)

is

y=7/4x+9/4

The weather forecast calls for a total of 16 inches of snow over the next week. If it is estimated that 2.8 inches of snow will fall on Monday, 3.4 inches of snow will fall on Tuesday, 1.6 inches of snow will fall on Wednesday, 2.1 inches of snow will fall on Thursday, 1.7 inches of snow will fall on Friday, and 2.9 inches of snow will fall on Saturday. How much snow should fall on Sunday?
A.
3.2 inches
B.
3.6 inches
C.
1.5 inches
D.
0.5 inches

Answers

c c c c c c c c c c
The answer is C and you get this by subtracting all the inches of snowfall over the week from 16 total inches and you should get 1.5 inches.

Jim wants to put carpet in four identical rooms. Each room is 14 ft by 20.5 ft. A
roll of carpet will cover 200 square feet. How many rolls will he need? *
3 rolls
4 rolls
5 rolls
6 rolls

Answers

Answer: Jim will need 6 rolls

Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls

A pile of 100 $5coins is 150 mm high. One coin is______mm thick​

Answers

Answer:

1.5mm

Step-by-step explanation:

100x = 150. x = height is one $5 coin

x = 150/100

x = 1.5

how to write this numbers in word 23.13​

Answers

Answer:

twenty three and 13 hundredths

Answer:

Twenty three point thirteen

is this relation a function? justify your answer.
please help!​

Answers

Answer:

C

Step-by-step explanation:

No, because you can not use the same X more than once. It has to pass the vertical line test.  So it'll be option C

What is the value of 3/8 divided by 9/10

Answers

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

twice the sum of k and 9 is 4

Answers

Answer:

2(k + 9) = 4

Step-by-step explanation:

Use distributive property.

2 x k = 2k

2 x 9 = 18

Equation:

2k + 18 = 4

Subtract 18 from both sides

2k = -14

Divide both sides by 2

k = -7

Answer:

-7

Step-by-step explanation:

First, we need to write this an equation

2(k+9)=4

2k+18=4

-18       -18

2k=-14

/2      /2

k=-7

Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]

Answers

Answer:

1/36 hope this helps

Step-by-step explanation:

Marla's brainlist pls

Pls help me on 21 , 22 , and 23

Answers

Find the slope of each of the two lines using the formula

y1-y2/x1-x2

Then if the slopes are the same, they’re parallel, and if they are the opposite reciprocal they are perpendicular. If they aren’t either of those options then it’s neither

Let me know if this helped!

9514 1404 393

Answer:

  21.  perpendicular

  22.  neither

  23.  parallel

Step-by-step explanation:

It can help to plot the points on a graph and draw lines through them. This can also let you count grid squares, which can make it easier to find the slope.

21. See attachment 1. The lines are perpendicular.

QR has a slope of -3/2. ST has a slope of 2/3, the opposite reciprocal.

__

22. See attachment 2. The lines are neither parallel nor perpendicular.

__

23. The x-coordinates of Q and R are the same, so this is a vertical line at x=-1. The x-coordinates of S and T are also the same, so it is a vertical line at x=11. The two vertical lines are parallel to each other.

_____

Additional comment

When you have a number of problems that all require similar arithmetic, it can be useful to embed that arithmetic in a spreadsheet. You have to enter the numbers somewhere to "show work" or perform a calculation, so you may as well enter them into a spreadsheet that does the calculation for you.

Of course, the slope formula is ...

  m = (y2 -y1)/(x2 -x1)

If you simply show the values of m for each pair of points, you can see if they are equal (lines are parallel). You can also have the spreadsheet compute their product to see if it is -1 (lines are perpendicular). If you get a #DIV/0! error, it means the line is vertical (and the product will also give an error). You can avoid error messages by making the spreadsheet more sophisticated, but that isn't necessary for the purpose here.

A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run? Choose the correct answer.

Answers

Answer: 7/16

Step-by-step explanation:

Distance of the relay race = 1 3/4 miles

Number of runners for the relay team = 4 runners

Distance to be run by each runner will be:

= Distance of the relay race / Number of runners

= 1 3/4 ÷ 4

= 7/4 ÷ 4

= 7/4 × 1/4

= 7/16

Each runner will run 7/16 miles

What is 230% of 90?
A 207
B 237
C 320
D 227

Answers

Answer:

207 or option a is the answer

Answer:

Option A) [tex]207[/tex]

Step-by-step explanation:

[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:

[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]

[tex]= 207[/tex]

∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].

Hope this helps :)

Please help its7to10 I be waiting like two hours

Answers

Answer:

Please check the explanation!

Step-by-step explanation:

Important factors to remember regarding the like terms:

'Like terms' are terms whose variables such as 2x and 6x are the same. Also if the variables contain the exponents such as 4 in x⁴, they must be the same too.Since the coefficient doesn't affect likeness, therefore we can say that all constant terms would be treated as the like terms.

Question 7

Given the terms

2b     b⁶     b     x⁴     3b⁶     2x²

From the list of terms, there are two groups of like terms which are:

2b     b       (Like terms containing the variable b)

b⁶      3b⁶    (Like terms containing the variable b with the same exponents)

The remaining two x⁴  and 2x² terms are different from each other and the rest of the terms

Question 8

Given the terms

6     2n     3n²     3m²     n/4     7

From the list of terms, there is one group of like terms which are:

6     7       (Constants Like terms)

2n    n/4   (The terms with the same variable n)

All the remaining terms such as 3n², 3m² are all different from each other and the rest of the terms.

Question 9

Given the terms

10k²      m     3³     p/6     2m

From the list of terms, there are there is one group of like terms which are:

m     2m     (The terms withe same variable m)

All the remaining terms such as 10k², 3³, p/6  are all different from each other and the rest of the terms.

Question 10

Given the terms

6³      y³     3y²     6²     y      5y³

From the list of terms, there are two groups of like terms which are:

y³    5y³     (The terms withe same variable m and exponent)

6³     6²      (Constant like terms. Plz don't confuse the power as all are the same constant terms)

All the remaining terms such as y and 3y² are all different from each other and the rest of the terms.

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?

Answers

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Add
to each side x2 - 8x = 9 to complete
the square.

Answers

25.....!!!!!!!&$(;7$;;)

Answer:

the correct answer is 16

Step-by-step explanation:

Add  ⇒ 16 to each side x2 – 8x = 9 to complete the square.

please I need help I will mark brainiest

Answers

Answer:

sorry i looked and i tried, but i dont know the answer.

Step-by-step explanation:

Can yall help me on this? ​

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Step 1: Look at the "y" axis and see what it is going through (-2)

Step 2: Check if the line if a positive slope or a negative slope (positive)

Step 3: Since we now know this is a positive slope, it cancels out "D" and "A".

Step 4: This would not be B because the rise is "1" and the run is "3"

Final Ansr: "C" because the rise is "3" and the run is "1" with a "-2" y-intercept.

What value of x satisfies the equation below? Explain
how you know
- 6x=
36

Answers

Answer:

-6 because -6 times -6 is a positive 36 negative times negative is positive

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Okay so basically. The "-6" and the fact that the answer is a positive number shows that X must be a negative number. So let us set "-6" as a positive number. Divide 36 by 6 and the answer is = 6. Add a negative sign and X is -6.

Find 6,650/35. please help me i tried using calculator but it put 0.19

Answers

Answer:

113

i did it in the caculater and this is what showed.

Answer:

That's odd, the actual answer is 6650 / 35 = 190

Good luck! Hope this helped :)

I need help please ​

Answers

The correct answer is false:) Parallel lines don’t have a solution because they don’t intersect.

I have 2 questions

Transform the equation.
Stretch y=5x by a factor of 3
What is the transformed equation?

Transform the equation.
Shift y=5√x+5 horizontally, 5 units to the right and a stretch by a factor of 4
What is the transformed equation?

Answers

Answer:

1. I assume that stretching vertically by factor of 2 means that every point on the transformed curve is twice as far from the x axis as the original curve.

Imagine that you have plotted y=5x.  you want to change the y scale so that each point on the original curve is two times as high.  For example, one point on the original curve is (1,5).  This point must be relocated to (1,10).  Similarly, the point (2,10) on the original curve must be relocated to (2,20).

You can see that these relocations are accomplished if we transform the function to y=2(5x)=10x.

Step-by-step explanation:

hope this helps! even though it's just the first one...

When the weight is greater than 15 pounds, the cost will be greater than $10.

Answers

Answer:

muy bien ami si me funciono la pregunta

A swim coach wants to test whether practicing with swim paddles improves swimmers' breaststroke times in the 100-

meter relay race. He asks the first member of the relay team to continue swimming without paddles. He asks the other

three members of the relay team to swim with paddles for two weeks. He records the swim times of the relay teams with

and without paddles. Which group of an experiment are the other three members of the relay team part of?

-single-blind

-confounding

-control

-experimental

Answers

Answer: experimental

Step-by-step explanation:

In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.

Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.

Someone please help me!

Answers

-1/4 i think, Y1-Y2/X1 -X2= the slope . -9-3= -12 and -6 - (-9)= -6 +9= 3. So simplify 3/-12 makes -1/4.

q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr​

Answers

I’m not positive this is right but try 26. I set 2x+1 and 3x-5 equal to each other and solved for x. I got x=6 then plugged it into both of the equations then added the equations together.

Jen and Brandy are studying soil. They each collected a sample of soil from the front yard of the school and then analyzed its components. Finally, they compared their results and found that they were very different. Their findings are recorded in the chart below.

How should Jen and Brandy proceed?

A.They should discuss their results and try to figure out why they are different.

B. They should ignore the differences in their results and complete their lab report.

C. They should argue about which student is right.

D. They should ask their teacher which set of results are more accurate.

Answers

Answer:

c.

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

i did the quiz and got a 96%

2 cartons of juice in the month of January. In the month of February, she drank twice as many cartons of juice as in
January. How many cartons of juice did she drink in February?

Answers

Answer:

She drank 4 cartons in February.

Step-by-step explanation:You multiply 2x2 because it doubles.

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