Q2
The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]

Answers

Answer 1

Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function [tex]r(t) = 50\cdot e^{-0.013\cdot t}[/tex], which is a monotonous decreasing function. Hence, the greater the values of [tex]t[/tex], the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.


Related Questions

A bag contains 2 green marbles and 5 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn.
What is the probability that the first marble is red and the second one is green

Answers

Answer:

.8

Step-by-step explanation:

Find the area of the composite figure

Answers

Answer:

the answer is 360

Step-by-step explanation:

multiply the numbers to get the answer

A student is collecting dimes and quarters as a fundraiser for their CAS project. After the first week, they tasked a younger sibling to count them up, who found there to be 211 coins. After taking the coins to the bank, the student was given $37.30. Find how many dimes did the student collect, and how many quarters did the sudent collect?

Answers

Answer: [tex]103,108[/tex]

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is [tex]\$37.30[/tex]

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=103,y=108[/tex]

Therefore, student collects 103 dimes and 108 quarters.


Answer 2. 3. And 4.

Answers

Answer:

For question 2 :

1 <

2>

3=

Step-by-step explanation:

Basically those triangle arrow things are called 'greater than signs'

So , you need to say which number is bigger than the other or if they are equal. For example :

3>1

1<7

1=1

Answer:

2. 786.20 is greater than 476.2 593.99 is greater than 59.399 and the last one are equal to each other 3. 12 quarts of flour 4. Go up three and to the right three

Step-by-step explanation:

Hope this helps you out

What other methods could be used to ensure parallel rails (any method, not just the geometry kinds)?

Answers

Answer:

use of  Wires , Clamps , and measuring tools

Step-by-step explanation:

To ensure parallel rails we can use : Wires , Clamps , and measuring tools as well

The use of wires are very effective and most stressful and they are used mostly when working with wooden rails  , while you can use Clamps and other measuring tools for every kind of rails to ensure they are parallel.

Properties of Triangles HELP

Answers

Answer:

x = 14

m<D = 57

Step-by-step explanation:

All triangle interior angles add up to 180.

<D and <E are congruent because of the congruent legs which makes them congruent angles:

4x + 1 + 4x + 1 + 5x - 4 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x = 14

m<D:

4x + 1

4(14) + 1

56 + 1

57

pleaseee hellpp me!!
explain your thinking.

Answers

Answer:

Sometimes

Step-by-step explanation:

Only when x=2 then the output would be 0 for both

The equation y= ax describes the graph of a line. If the value of a is negative,
the line:

A. goes down and to the left.
B. is vertical.
C. goes up and to the left.
D. is horizontal.

Answers

Answer:

Goes up and to the left

Step-by-step explanation:

If the value of a is negative, the line is going down and to the left.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation {y} = ax describes the graph of a line.

It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.

The general equation of a straight line is -

y = mx + c

Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.

Therefore, if the value of a is negative, the line is going down and to the left.

To solve more questions on straight line, visit the link-

https://brainly.com/question/29223887

#SPJ7

If I think of a number halve it and subtract 2 results is 10.write equations and solve it please

Answers

Answer:

24

Step-by-step explanation:

let 'x' = number

x/2 - 2 = 10

add 2 to each side to get:

x/2 = 12

cross-multiply to get:

x = 24

Answer:

The equation is (x/2) - 2 = 10The equation solves to x = 24

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

Explanation:

x = the number you think of

x/2 = the result after taking half of that number

(x/2) - 2 = subtract 2 from the previous result

(x/2) - 2 = 10 is the equation to solve

Solving said equation gets us...

(x/2) - 2 = 10

x/2 = 10+2 ... adding 2 to both sides

x/2 = 12

x = 12*2 ..... multiplying both sides by 2

x = 24

Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24

-----------------

Let's check that answer:

x = 24

x/2 = 24/2 = 12 ... result after taking half of x

(x/2) - 2 = (12)-2 = 10 ... result after subtracting two

We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.

------------------

Here's another way to check:

(x/2) - 2 = 10

(24/2) - 2 = 10

(12) - 2 = 10

10 = 10

We end up with the same thing on both sides, so x = 24 is confirmed.

Add 4.25 and 12.835 explain how u got it answer​

Answers

Answer:

17.085

Step-by-step explanation:

  +1

12.835

+  4.25

  17.085

Answer:

Refer to the attachment given for explanation.

The answer will be 17.085.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the value of x.

Answers

Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

The function f(x) is graphed below. what is f(2)-f(-1)?

Answers

photmath,  alcaicion par aresolvr perbolmeas mtemataicso ,ect a

Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?

Answers

Answer: 8

Step-by-step explanation:

Given

Lian has [tex]\$1.00[/tex] and she has twice as many dimes as nickels

Suppose she has [tex]x[/tex] nickels

So, the number of dimes is [tex]2x[/tex]

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

[tex]\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4[/tex]

Therefore she has 8 dimes with her.

the area of hanks farm is n acres. the area of hank's farm is 8 times as large as the area of stans farm
a. if s represents the area of Stan's farm express s in terms of n
b. state the independent and dependent variables in the equation

+ 50 points and brainlist

Answers

Step-by-step explanation:

a. s = n/8

b. the independent variable is s

the dependent variable is n

Pls help I’ll give brainlest

Answers

the answer is 40 yards. hfjjfnfhcnfnc

Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?

Answers

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

Find the total surface area and volume of the figures below? ​

Answers

The total surface area and volume is I think 15

please help with this question or I might fail.

Answers

3 days a week or Monday Tuesday Wednesday Thursday Friday

please give me answer please ​

Answers

Answer:

336

Step-by-step explanation:

Who could help me please and thank you

Answers

To write the equation of a line in slope-intercept form, there are two things we need: the y-intercept and the slope.

To find the y-intercept using a graph is relatively easy. We are looking to see where the line crosses the y-axis. In this case, that is at the point (0,4).

To find the slope, we need to first find two points that are on the line. I will be using the points (0,4) and (2,5), though you can use any two that you would like. Then, we'll need to use the slope formula (y2 - y1 / x2 - x1).

(5 - 4) / (2 - 0)

1 / 2 = slope

Now that we have the slope and y-intercept, we can simply plug those values into slope intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Therefore, our equation of the line in fully simplified slope-intercept form is y = 1/2 x + 4.

Hope this helps!! :)

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-intercept form is: y = mx + b

The slope is 1/2 (mx)

Up 1, Over 2, which is the space between each dot.

The y-intercept is 4 (b)

The point where the line crosses the y-axis.

y = 1/2x + 4

Hope this is correct for you!

Which values are equivalent to the fraction below? Check all that apply

4 5/4 7

Answers

Answer:

the answer is the 4/-2

Step-by-step explanation:

you can understand from the answer

Allison had 18 postage stamps she gave 2/9 of the stamps to her mother and used 1/2 of the remaining stamps to send letters to her friends in Canada how many stamps are left

Answers

Answer is 7

step-by-step explanation:

you would do 2/9 times 18 which is 4 you would subtract 18 - 4 which is 14 then you would do 14 / 2 and your answer will be seven

Can anyone help me with this im having some difficulty

Answers

Answer:

option C

Step-by-step explanation:

[tex](a+b)(a+b) = a^2 + 2ab + b^2[/tex]

Answer:

c

Step-by-step explanation:

Solve for w
5w.+ 36°
Зw

Answers

Answer:

w=18

Step-by-step explanation:

So, lets go over what we know:

A line is 180 degrees.

5w+36 is the first part of the line.

3w is the other part of the line.

So 5w+36 and 3w is 180 degrees.

We can write this as:

5w+36+3w=180

Combine the 5w and 3w:

8w+36=180

Subtract 36 from both sides:

8w=144

Divide 8 from both sides to get w alone:

w=144/8

=

w=18

Hope this helps!

Identify the conditionals and truth values implied by the following biconditional. Select all that apply.

Answers

Answer:

I believe the answer is B and C

Step-by-step explanation:

Suppose 1/4 of students in your school
were trying out for a spring sport. How
many students would you have to select
randomly, in order to get 15 students who
were trying out for a spring snort?

Answers

Answer: 60 students i think

quentin is going to buy a pair of pants that cost $32.50. he has a coupon for 20% off the price of one item and another coupon for $5.00 off the price of one item. he can only use one coupon. which coupon should quentin use to save the most money

Answers

Answer:

20% coupon

Step-by-step explanation:

20% of 32.50 = 6.5

32.50 - 6.50 = 26

32.50 - 5 = 27.50

26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.

what does it mean to find the net change of something?

Answers

Net change is the difference between a prior trading period's closing price and the current trading period's closing price for a given security. For stock prices, net change is most commonly referring to a daily time frame, so the net change can be positive or negative for the given day in question.

I need help like big time! PLEASE I NEED THIS ANSWERED!!

Answers

Answer:

x = 94

Step-by-step explanation:

[tex]x + (\frac{1}{2}x + 39) = 180[/tex]

1.5x + 39 = 180

Subtract 39 from each side.

1.5x + 39 - 39 = 180 - 39

Simplify.

1.5x = 141

Divide each side by 1.5.

1.5x ÷ 1.5 = 141 ÷ 1.5

x = 94

This is due at midnight need help ASAP

Answers

Answer:

hiiii i would love to answer yoyr question all you have to do is the bottom line which is x from the 1 count all the way until 5 and that is your answer for the first one and then for the y from the 4 count all the way until the 13 and that will give you your answer so ( , )

Other Questions
I need the answer n 30 minutes, please!For which values of the parameter p equationx ^ 2-px + 3 = 0has a root in the range [0; 1], and another that does not belong to this range? Do you believe that freedom is given to you by others, or made by you? EXPLAIN ILL MARK BRAINLIEST Simplify 2/3(9x15)(6x+2) . Write your answer in factored form. The coloration of fishes is due to special cells calledGroup of answer choiceschlorophyllcytespigmentacyteschromatophorescoloration cells PointssssPointssssPointssssPointssss Why is creativity important in scientific investigations? a. Creative solutions are often needed to solve technical problems. b. Scientists need to creatively adjust their data to prove their hypothesis. c. There is no way to test a hypothesis, so creativity is necessary. d. Most scientific experiments have no data. Which of the following shows the levels of organization in correct order from simplest to most complex? A. cells, organism, tissues, systems, organsB. organism, organs, systems, tissues, cellsC. cells, tissues, organs, systems, organismD. cells, organs, tissues, organism, systems What are the three distinct areas of a recipe? Top: Middle: Bottom: If 3.25 g N2 gas is introduced into an evacuated 1.50 L flask at 325 K, what is the pressureinside the flask (in atm)? Determine the value of angle V in the picture below. This is the passage I will be posting the answer choices because it wont let me post both of them at the same time What Reaction type is CO2(g) + H2O() H2CO3(aq) 6. Given two numbers 8 and 5:Write "the distance between 8 and 5" as a mathematical expression. what's the difference between mass and inertia in a tabular form What is the value of angle vux The output side of an ideal transformer has 35 turns, and supplies 2.0 A to a 24-W device. Ifthe input is a standard wall outlet, calculate the number of turns on the input side, and the currentdrawn from the outlet. 13. The atria (plural of atrium) are the receiving chambers while theventricles are the pumping chambers. *TrueFalse Please help me on this problem find 7% of 5000 students The pronoun in an adjective clause may function as the subject, object, or possessive adjective within the dependent clause.truefalse