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

Together teammates Pedro and Ricky got 2689 base hits last season Pedro had 281 more hits than Ricky how many hits does each player have?

Answers

Answer: Ricky has 1204 hits and Pedro has 1485 hits

Explanation:

- Let R be the number of hits that Ricky had
- Let P be the number of hits that Pedro had

R + P = 2689

But Pedro has 281 more hit than Ricky

Thus, P = R + 281

Substitute this value in our first equation

R + R + 281 = 2689
2R + 281 = 2689
2R = 2689 - 281
2R = 2408
R = 2408/2
R = 1204

And P = R + 281

But R = 1204

=> P = 1204 + 281 = 1485

Therefore, Pedro has 1485 base hit and Ricky has 1204 hit.

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answers

Correct question

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answer:

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Step-by-step explanation:

For tuna: Made from scratch

The ingredients cost $12.18 and yield 10 four-ounce servings.

10 servings = $12.18

1 serving = x

10 × x = 1 × $12.18

x = $12.18/10

x = $1.218

Hence, 1 four ounce serving cost $1.218

The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.

5 pound tub salad = $26.99

1 pound tub of tuna salad = x

5 × x = 1 × $26.99

x = $26.99/5

x = $5.398 per pound

Converting to ounces

0.0625 pound = 1 ounce

5 pound = x

x = 5/0.0625

x = 80 ounces

80 ounces of tuna salad = $5.398

4 ounces of tuna salad = x

80 × x = 4 × $5.398

x = 4 x 5.398/80

x = $0.2699

Hence, 1 4 ounce pre made tuna salad cost = $0.2699

Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

what is 3.14 times 5 divided by 7​

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]

Question : 3.14 times 5 divide by 7

: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]

Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]

To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.

➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]

➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]

➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]

Hope I helped !

Have a wonderful time ! ッ

~TheAnimeGirl

y-intercept. y = -3/2x

Answers

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

In a certain​ chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it​ contain?

Answers

Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

Alaina went to Applebee’s for dinner with some friends. The bill came to $87.43 but one of her friends had a 12% off coupon. How much did they save with the coupon?

Answers

Answer:

They saved $10.49

Step-by-step explanation:

.12 X 87.43 = 10.4916

10.4916 rounded up is 10.49

5. Multiply: -1/5(5/8)

Answers

Answer:

- [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{5}[/tex] × [tex]\frac{5}{8}[/tex] ( cancel the 5 on numerator/ denominator )

= - 1 × [tex]\frac{1}{8}[/tex]

= - [tex]\frac{1}{8}[/tex]

anyone know how to do this one??

Answers

Answer:

y=1/3x+5

Step-by-step explanation:

y=1/3x+5 have a nice day hope you get it right

As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.

what, approximately, is the mean weight for babies born during the two-month.?

7.83 pounds

7.93 pounds

7.95 pounds

7.97 pounds

7.99 pounds​

Answers

7.95 lbs because you have the mean of both months to get the mean of the two months take the two numbers 7.8+8.1/2 to get the mean of the two months

Answer:

C

Step-by-step explanation:

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.

Answers

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

Answer:

(x, y) --> (x – 6, y – 6); (–11, –5)

Step-by-step explanation:

Subtract 6 from both the x and y coordinates of U to get (-11, -5).

10.) A fitness center
charges a $100 initiation
fee plus $40 per month.
f(m) =

Answers

Answer: f(m)=40x+100
The Fitness center charges $40 per month(your x) and it is a $100 initiation(your y)

Answer:

f(m)=40x+100

Step-by-step explanation:

40 is your rate which is x and 100 is the initial fee which is y.

A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19

Answers

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

d) 19
you divide 304 by 16

HELPPPPPP NOWWWWWE PLEASEEEE

Answers

Answer:

answer is C

Step-by-step explanation:

because they make linear

I believe the answer is D to make a linear.

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 43?

Answers

Answer:

s(x)=32mx+b

Step-by-step explanation:

It should be this

Solve for x in the equation
4*+2=1​

Answers

Answer:

x=(-1)/4

Step-by-step explanation:

4x=1-2

4x=(-1)

x=(-1)/4


You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?

Answers

Answer:

50%

Step-by-step explanation:

hope this helped

this would be 50% of owning a dodge

Solve the equation.
8-2x = -8x + 14
x = -1
x=-3:5
x=3/5
X= 1

Answers

X=1
8-2x=-8x+14
-2x=-8x+6
6x=6
x=1

Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Replace the values of hand kto create the equation of the transformed function.

Answers

Answer: h = 4 and k = 1

Step-by-step explanation:

Just took the test aye

1092 is divisible into.?

Answers

Answer:

1092 is divisible into 1, 7, or 1092.

Step-by-step explanation:

Step-by-step explanation:

1092 / 1 = 1092

1092 / 2 = 546

1092 / 3 = 364

1092 / 4 = 273

1092 / 6 = 182

1092 / 7 = 156

1092 / 12 = 91

1092 / 13 = 84

1092 / 14 = 78

1092 / 21 = 52

1092 / 26 = 42

1092 / 28 = 39

1092 / 39 = 28

1092 / 42 = 26

1092 / 52 = 21

1092 / 78 = 14

1092 / 84 = 13

1092 / 91 = 12

1092 / 156 = 7

1092 / 182 = 6

1092 / 273 = 4

1092 / 364 = 3

1092 / 546 = 2

1092 / 1092 = 1

Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.

PLEAE HELP ME AND ANSWER CHOICES ABOVE!!

Answers

Answer: D. 5 > x > 1

1 < 3x -2 < 13

<=> 3 < 3x < 15

<=> 1< x < 5

Step-by-step explanation:

x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 1 < 3x-2 < 13

One less than three times of x minus two less than thirteen.

We need to find the solution of the inequality.

Let us divide the given inequality into two parts

3x-2>1 and 3x-2<13

For first inequality

3x-2>1

3x>3

x>1

and the second inequality  3x-2<13

3x<15

x<5

Hence, x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

• Its ones digit is one more than its tens digit.

• It is a composite number.

• It has two digits.

• It is even.

• It is two less than a square number.

a. What is my number?

Answers

Answer:

is it 32

Step-by-step explanation:

Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

HELP PLSS

What is the slope of the line that passes through the points (-2, -5) and (6, 7)?

Answers

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[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]

[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]

[tex]slope = \frac{12}{8} \\ [/tex]

[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]

[tex]slope = \frac{3}{2} \\ [/tex]

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Answer:

3/2

Step-by-step explanation:

use the slope formula to solve

y2-y1 is 7- (-5) = 12

x2-x1 is 6- (-2) = 8

the formula is y2 -y1 over x2-x1 so

12/8

simplify it to 3/2 (fraction answer)

convert it to decimal if needed: 1.5 (decimal answer)

Which of these graphs represents a function?

Answers

Answer:

Graph x

Step-by-step explanation:

X because of the line test

What 10 x 13x 5 x6 x8 x9 x9 x0

Answers

Answer:

0

Step-by-step explanation:

If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?

Callan goes for a hike every Saturday. Callan hikes at a rate of 3 miles per hour.
Complete the table for the given ratio.

Answers

Answer:

(1) 27 meters. (2, 3) Both distances in miles (y) are 10 miles (y)

Step-by-step explanation:

For the first question, every mark represents 9 meters. and 9 multiplied by 3 is 27.For the second half, look at the y section and see that the dots are a line higher than 9. So they both have 10 as y.

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answers

Answer:

Nancy's heart rate is higher than Lee's heart rate.

Step-by-step explanation:

Equation for the heart beats of Lee is,

y = 1.2x

And the heart beats of Nancy is represented by the graph.

Higher the slope of the line = Faster the hear rate.

Slope of line represented by y = 1.2x,

m = 1.2

Similarly, slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                           = [tex]\frac{5}{4}[/tex]

                                                                           = 1.25

Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.

Therefore, Nancy's heart rate is faster than Lee's heart rate.

Tobin is solving the equation 3 (x minus 1.25) = 11.25. His work is shown below.

3 (x minus 1.25) = 11.25. 3 x minus 3.75 = 11.25. 3 x minus 3.75 + 3.75 = 11.25 + 3.75. 3 x = 15. 3 x times 3 = 45 times 3. x = 135.

What mistake did Tobin make?

Answers

he was meant to divide by 3 when the equation was 3x=15, not multiply, so he would get the answer x=5

What is the domain and range
What is the x-intercept
What is the y-intercept

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

**All real numbers,is an alternative to (-∞,∞)

x-intercept: -3

y-intercept: 5

3(x + 1) = -2(x - 1) - 4

Answers

Answer:

x = -1

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

x = -1

Hope this helped,

Kavitha Banarjee

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