Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

Answers

Answer 1

Answer:

A. 3 Days

Step-by-step explanation:

Just took the test hope this helps :)

Answer 2

Answer:

the answer on edge is A.3


Related Questions

which of the following is not a congruence theorem or postulate a) sas b) aas c) sss d) aa

Answers

Answer:

d)aa  (AA is not congruence theorem, it is similarity postulate)

Step-by-step explanation:

Answer:

aa

Step-by-step explanation:

This graph shows how the length of a time kayak is rented is related to the rental cost. What is the rate of change shown in the graph?

Answers

Answer:

A.

Step-by-step explanation:

Instructions: Find the measure of the indicated angle to the
nearest degree

Answers

Answer:

? = 33

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp / adj

tan ? = 13/20

Take the inverse tan of each side

tan ^-1 tan ? = tan ^-1 ( 13/20)

? = 33.02386756

To the nearest degree

? = 33

Answer:

33.

Step-by-step explanation:

inverse tan (13/20) = 33.023867579302

John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere on the board, what is the probability that the thumbtack will be placed on the inner circle? Use 3.14 for pi , and round your answer to the nearest whole percent. A. 51% B. 55% C. 57% D. 60%

Answers

Answer: A. 51%

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r = radius of the circle.

In the figure below, we have the complete question.

According to that,

Radius of outer circle = 7ft

Radius of inner circle = 5ft

The probability that the thumbtack will be placed on the inner circle

[tex]=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[/tex][π is canceled from numerator and denominator

in percent, [tex]\dfrac{25}{49}\times100=51.0204081633\%\approx51\%[/tex]

So, the probability that the thumbtack will be placed on the inner circle = 51%

Hence, the correct option is A. 51%.

11 POINTS! GEOMETRY!! Find the area of the composite function and explain how you broke the shape into pieces to find the area.

Answers

Answer:

370 mm²

Step-by-step explanation:

The area of this figure can be calculated by taking the whole figure as a full rectangle, and consider the part that is cut out from the middle of the shape as another rectangle.

Find the area of the cut-out part and subtract from the area of the full rectangular shape to get the area of the composite figure.

=>Area of full rectangular shape:

Length = 30 mm

Width = 15 mm

Area = L * B = 30*15 = 450 mm²

=>Area of the cut-out Rectangle part:

Length = 10 mm

Width = 8 mm

Area = 10*8 = 80 mm²

=>Area of composite figure = 450 mm² - 80 mm² = 370 mm²

An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00 per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?

Answers

Answer:

The quantity of clover seeds the worker will add is 11.14 pounds

Step-by-step explanation:

Let

x=Poppy seed

y=clover seed

24x+13y=20.70(x+y)

x=26 pounds

Substitute x=26 pounds into the equation

24x+13y=20.70(x+y)

24(26)+13y=20.70(26+y)

624+13y=538.2 +20.70y

Collect like terms

624-538.2=20.70y-13y

85.8=7.7y

Divide both sides by 7.7

y=85.8/7.7

=11.14 pounds

Therefore, the quantity of clover seeds the worker will add is 11.14 pounds

Answer:

A 11.14

Step-by-step explanation:

To solve this, add the total cost of the poppy seed ($24 × 26) to the cost of the clover seeds ($13x), then divide both by the total number of pounds the finished mixture will weigh.

Factorize: 14x^6-45x^3y^3-14y^6

Answers

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Please help out show work ty!

Answers

Answer:

C

Step-by-step explanation:

This is because it has a constant rate of change.

5 x 1.5 = 7.5

6 x 1.5 = 9

7 x 1.5 = 10.5

You can find this image by dividing y by x and testing this rate of change on the other y values. Thus C is correct.

The direct distance from a starting point to a finish line is 20 miles. Unfortunately, you can't take the direct route. If you travel 16 miles west, how many miles south must you travel to reach the finish line? A. 12 B. 16 C. 4

Answers

Answer:

12

Step-by-step explanation:

Use the explicit formula 8. = a + (n-1). d to find the 500th term of the
sequence below.
24, 31, 38, 45, 52, ...
A 3545
B. 3517
C. 3524
D. 3493

Answers

Answer:

The 500th term is 3,517

Step-by-step explanation:

Here in this question, we are given an explicit formula to calculate the 500th term of the sequence

The formula to use is ;

a + (n-1)d

where a refers to the first term which is 24 in this case, while d is the common difference which is the difference between success terms and that is 52-45 = 45-38 = 7 and finally n is 500

Now we make a substitution into the formula and we have

24 + (500-1)7

= 24 + (499)7

= 24 + 3493 = 3,517

In the table, describe the shape of the cross section formed when a particular plane passes through the cylinder.

Answers

triangle is the best answer

Answer:

Step-by-step explanation:

Kate opens a savings account with a deposit of $1250. After 2 years, she has
receives $112.50 in interest. What is the annual interest rate?

Answers

Answer:

4.5%

Step-by-step explanation:

Simple interest:

I = Prt

112.5 = 1250(r)(2)

1250r = 56.25

r = 0.045 = 4.5%

Answer: 4.5%

The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?

Answers

You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.

Answer:

Hey there! The correct answer is A. Data set C.

---

What is standard deviation?

Standard deviation is simply defined as the spread of a data set in relation to the mean of the data set. The standard deviation can be calculated with a formula as shown below.

[tex]\displaystyle \sigma = \sqrt{\frac{\Sigma(x_i-\mu)^2}{N}[/tex]

What does each variable stand for?

Each variable has a significant meaning for this formula.

[tex]\sigma[/tex] - the standard deviation of the population[tex]\Sigma[/tex] - the summation of all values after the symbol[tex]x_i[/tex] - all data values in the set[tex]\mu[/tex] - the mean of the population[tex]N[/tex] - the number of data values

With this information, we can find the standard deviation of a data set.

What does standard deviation mean for a data set?

Generally speaking, statisticians want a standard deviation that is on the lower end so that conclusions can be drawn about the data that was observed.

If a standard deviation is large, that means that most of the data is quite far from the mean and the data usually disproves a hypothesis. This is undesirable since the original hypothesis cannot be proven with this experiment.

When the standard deviation is quite low, this points to data that can be relied upon since it fulfills the initial requirement to prove the hypothesis.

Therefore, since the highest standard deviation correlates with the most spread out data, A. Data set C is the answer.

If a polynomial function f(x) has roots -9 and 7 -i, which must be a factor of f(x)

Answers

Answer:

(x + 9) (x - 7)

Step-by-step explanation:

when we put x + 9 = 0 then x = -9 as it's the root of the fuction.

same thing here: x - 7 = 0 then x = 7

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:


High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

Answer:

Both spreads are best described by the standard deviation

Step-by-step explanation:

Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS

Answers

Answer:ITS A

Step-by-step explanation:

SAS: side angle side

SSA: is not a congruence theorem

AAS:angle angle side

SSS:side side side

Answer:

The answer is A.

Step-by-step explanation:

Just took the test

pls help me for question no.4

Answers

Answer:

Area of the composite figure = 75.25 cm²

Step-by-step explanation:

Question (4). Given figure is a composite figure having,

(1). Right triangle STU

(2). A kite PSUV

(3). A trapezoid PQRS

Now we will calculate the area of each figure.

(1). Area of the right triangle = [tex]\frac{1}{2}(\text{ST})(\text{TU})[/tex]

                                              = [tex]\frac{1}{2}(3.5)(3)[/tex]

                                              = 5.25 cm²

(2). Area of the kite PSUV = [tex]\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})[/tex]

                                           = [tex]\frac{1}{2}(\text{PU})(\text{SV})[/tex]

                                           = [tex]\frac{1}{2}(\text{TS+RQ})(\text{SV})[/tex]

                                           = [tex]\frac{1}{2}(3.5+7)(6)[/tex] [Since SV = 2 × 3 = 6 cm]

                                           = [tex]3\times 10.5[/tex]

                                           = 31.5 cm²

(3). Area of the trapezium = [tex]\frac{1}{2}(b_1+b_2)(h)[/tex] [Where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and h is the distance between the bases]

                                           = [tex]\frac{1}{2}[(7-3)+7](7)[/tex]

                                           = [tex]\frac{77}{2}[/tex]

                                           = 38.5 cm²

Total area of the given figure = 5.25 + 31.5 + 38.5

                                                 = 75.25 cm²

plz answer this question

Answers

Answer:

D is correct one

Step-by-step explanation:

The pattern consists of repeating 4 faces

1000 is fully divisible by 4

1000/4= 250

The 1000th face ends the pattern of 4

The next, 1001th one is the very first face

Correct choice is D

Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point

Answers

Answer:

The last choice (3,2), because both lines pass through this point.

Step-by-step explanation:

For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.

Answer: (3, 2), because both lines pass through this point

Step-by-stepexplanation:

This can be solved by substitution. The graph will show the same result.

A car bought for $20,000. Its value depreciates by 10% each year for 3 years. What is the car's worth after3 years?

Answers

Answer:

$14,580

Step-by-step explanation:

To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form

-In doing that, you get 2,000

-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000

-the value of the car after one year is now $18,000

Now, let's move to the second year.  This time find 10% of 18,000

-multiply 18,000 by 0.1 to get 1,800

-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200

-the value of the car after two years is now $16,200

Finally, let's look at the value of the car after three years.  Only this time, we will now find 10% of 16,200

-multiply 16,200 by 0.1 to get 1,620

-since value is being depreciated, or lessened, we will once again be subtracting.  Subtract 1,620 from 16,200 to get 14,580

Therefore, the value of the car after three years is now $14,580.

A track coach is trying to improve the 50 -meter-dash times of the track team. He times each student and then implements a month-long training program. At the end of the program, he timed each of the students again. The box plots show the number of seconds it took the students to run the 50 -meter-dash before and after the program. Using the plots, how much did the median change?

Answers

Answer:

-5

Step-by-step explanation:

Given the two box plots showing the number of seconds the students completes the 50-meter-dash race before and after the program, we are to determine the difference between the median value of seconds before and after the program.

Median in a box plot is represented by the vertical line that divides the rectangular box in a box plot.

Thus, the median before the program = 15 seconds

The Median after the program = 10 seconds

The median change = 10 - 15 = -5 seconds.

This means, after the program, most of the students now finish the 50-meter-dash faster, about 5 seconds less the former seconds used before the program.

Answer:

-5

Step-by-step explanation:

i did it on Imagine Math and i got it correct!

One equation 0f a pair of dependent linear equations is -5x+7y=2.The second equation can be a)10x-14y=-4 b)-10x-14y+4=0 c)-10x+14y+4=0 d)10x+14y=-4

Answers

Answer:

a) 10x - 14y = -4

Step-by-step explanation:

Two equations linear dependent if you can write one as a multiple of the other. It means that the equation that is a linear dependent with -5x+7y=2 is:

10x - 14y = -4

Because it can be written as:

-2(-5x+7y) = -2(2)

So, this equation is equivalent to -5x + 7y = 2

Below, is the sample size, is the population proportion and is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places.
n=111
p=0.54
P (P > 0.60) =

Answers

Answer:

Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054

Step-by-step explanation:

Given that n = 111

p = 0.54

To find P([tex]\hat p[/tex]>0.60)

We have;

P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}} > Z \right )[/tex]

P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - 0.54}{\sqrt{\dfrac{0.54(1-0.54)}{111}}} > Z \right )[/tex]

P([tex]\hat p[/tex]>0.60) = P(1.268 > Z) = 1 - 0.8962 = 0.1038

The above result was obtained from calculation

Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054.

What is the length of AC?
Please help me ASAP!!!

Answers

Answer:

a

Step-by-step explanation:

Please find out the answer and I will mark your answer as the brain test with a five-star rating and a thank you. But only if the answer will be proper and neat...

Answers

Answer:

Below

Step-by-step explanation:

Let x be that missing number

One third of it is x/3

One-ninth of it is x/9

Multiply x/3 and x/9

● (x/3)*(x/9) = (x^2/27)

● (x^2/27) = 108

Multiply both sides by 27

● (x^2/27)*27 = 108*27

● x^2 = 2916

● x = √(2,916) or x = -√(2,916)

● x = 54 or x = -54

So there are two possibilities 54 and -54.

a1/3×1/9=!08

if you multiply you should get 1/27a=108

in order to let a alone multiply both sides by 27

and now your a which is unknown will equal 2916.

Which of the following correlation coefficients would correspond to a strong linear relationship in a data set? a. 0 b. 7 c. 0.9 d. 0.4

Answers

Answer: c) 0.9

The correlation coefficient r is always between -1 and 1, inclusive of both endpoints. We can write [tex]-1 \le r \le 1[/tex]

If r = 0, then we have no linear correlation at all. If r = 1, then we have perfect positive correlation. If r = -1, then we have perfect negative correlation.

We see that r = 0.9 is close to r = 1, so we have strong positive linear correlation going on here.

9 is subtracted from 3 times the sum of 4 and 2​

Answers

Answer:

9

Step-by-step explanation:

3 times the sum of 4 and 2 = 3*(4+2)

                                            = 3 * 6

                                           = 18

18 - 9 = 9

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?


a.the oval method

b.the divide-center method

c.the area method

d.the regression calculator method


ty if you answer! :3

Answers

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

PLS HELP THE 1ST PERSON TO ANSWER THIS CORRECTLY AND EXPLAINS IT ILL MARK BRAILIEST. What is the solution to the equation 3.6m − 2.7 = −1.8m? m = 0.25 m = 0.5 m = 1.25 m = 1.5

Answers

Answer:

m=0.5

Step-by-step explanation:

Copy the equation.

3.6m-2.7=-1.8m

Subtract 3.6m from both sides.

-2.7=-5.4m

Divide by -5.4 on both sides.

0.5

Solve by factoring 25x^2+5x-12=0

Answers

Answer:

x = -4/5 and x = 3/5.

Step-by-step explanation:

The coefficient of x^2 is 25, which is 5 * 5. 5 * -3 = -15, and 5 * 4 = 20. 20 - 15 = 5.

So...

25x^2 + 5x - 12 = 0

(5x + 4)(5x - 3) = 0

5x + 4 = 0

5x = -4

x = -4/5

5x - 3 = 0

5x = 3

x = 3/5

So, x = -4/5 and x = 3/5.

Hope this helps!

Other Questions
Estoy seguro de que mi hermana ________ ver esa pelcula. A. querer B. querrn C. querr D. querr PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypotenuse? write a paragraph on one of the following topics the 50 words. my friend What is the slope of the line through the points (2,8) and (5,7) The specific heat of a certain type of cooking oil is 1.75 J/(gC). How much heat energy is needed to raise the temperature of 2.01 kg of this oil from 23 C to 191 C? Micah is handing out miniature chocolate bars and butterscotch hard candies for Halloween. He wants tohave a total of 7 pounds of candy, but he doesn't want to spend more than $11.00 total on the candy. If miniature chocolate bars costs $1.80 per pound, and butterscotch hard candies costs $1.00 per pound, how many pounds of each type of candy should he buy? Write the first five terms of the arithmetic sequence. Easy Question. Will mark brainliest. Considering the impacts and benefits of bioprospecting, which of the following describes the most likely impact? It could be harmful to the ecosystem. It may make additional types of medical treatments available. It is more expensive than creating synthetic compounds. It provides additional variety of known chemical compounds. Which of the following strategies are used in biotechnology to solve a problem? I. Genetic engineeringII. Biomimicry III. Biochemical engineering I only II only I and II only I, II, and III According to Debra, the vice president of Theo Chocolate, one of the results of offering simpler products is that people are: The baseball team has a double-header on Saturday. The probability that they will win both games is 50%. The probability that they will win just the first game is 65%, What is the probability that the team will win the 2nd game given that they have already won the first game? (PLEASE SHOW YOU'RE WORK) The coordinates of the vertices of a rectangle are given by R(- 3, - 4), E(- 3, 4), C (4, 4), and T (4, - 4). A. Use the Pythagorean Theorem to find the exact length of ET. B. How can you use the Distance Formula to find the length of ET? Show that the Distance Formula gives the same answer. A steel wire, when bent in the form of a square, encloses an area of 121 sq cm. The same wire is bent, in the form of a circle. Find the area of the circle. Explain the method to measure the external diameter of a sphere 15 POINTS+BRAINLIEST (Hurry now) A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train? Determining whether sufficient evidence is available to justify a trial a. is the responsibility of a grand jury. b. is "one of the most recent institutions embedded in the Constitution." c. is left up to prosecutors alone. d. follows the same constitutional rules at both the state and federal levels. A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tallHow many gallons of water are needed to fill the waterbed?Assume i gallon is 013 cu ft. Round to the nearest whole galon If the quadratic formula is used to solve 2x2-3x - 1 = 0, what are the solutions?1-3 + fin 3 - i7)4.4.0 -3-17 3 - 1714413 +17 3 - (1)44 Lidero un movimiento en contra del DIRECTORIO en 1943........................ Dirigi el Gobierno de la Restauracin...................... Muri en Ingavi 1841.................................. Derrotado en Batalla Carmen Alto..................................... Puso fin al Directorio en 1845.................................. completar las palabras You have a portfolio worth $63,500 that has an expected return of 13.3 percent. The portfolio has $16,900 invested in Stock O, $24,700 invested in Stock P, with the remainder in Stock Q. The expected return on Stock O is 18.1 percent and the expected return on Stock P is 11.3 percent. What is the expected return on Stock Q How does holi bring people of different castes and religious into harmony and fraternity?