if you are given 80 grams of a radioactive element and told that its half-life is 10 years. How much will be left of the substance after 20 years.​

Answers

Answer 1

Answer:

20 grams

Step-by-step explanation:

20 years is 2 half lives

1/2 * 1/2 = 1/4

1/4 * 80 = 20 grams


Related Questions

If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area

Answers

Answer:

p=44,A=120

Step-by-step explanation:

P=10+12+10+12

P=44cm

A=10*12

A=120cm^2

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15

Answers

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

[tex]x=\dfrac{k}{v}[/tex]

Put v = 3, x = 35,

[tex]k=3\times 35\\\\k=105[/tex]

Now put v = 15 and k = 105

[tex]x=\dfrac{105}{15}\\\\x=7[/tex]

So, the required value of x is equal to 7.

What is the volume of the rectangular prism?
50 POINTS

Answers

Answer:

A

Step-by-step explanation:

Plz help me well mark brainliest if correct.....???

Answers

Answer:

A) Lydia

Step-by-step explanation:

which graph is the graph of f(x) = 2 + 2?

Answers

It’s this one, the last one
It’s the one in the bottom right. Okay? Okay!

Avery spent 10 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?

Answers

Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming

Step-by-step explanation:

Pls help ill give u brainlest!! 40 points

Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.

Answers

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

Manuel owns 5 DVDS

Explanation: 3/5 =12/20

12-7 = 5

What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters

Answers

The answer is b) cubic units / metre

Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3

Answers

the volume is 235.6 mm^3

Clara goes miniature golfing. She pays $7.50 for
admission ticket and $6.25 for each round she golfs.
The total amount Clara pays for admission and the
number of rounds she golfs is $26.25. Which equation
can be used to determine the number of rounds, x, that
Clara golfs?
A) 6.25x + 7.50 = 26.50
B 6.25x = 7.50 = 26.25
C) 7.50x + 6.25 = 26.25
D) 7.50x - 6.25 = 26.25

Answers

C

Hint: Sara played about 4 rounds

Answer:A

Step-by-step explanation:

She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.

A basket holds n apples. You pick 2n-3 apples, and your friend picks n + 4 apples. Write an expression that represents the number of applies you and your friend picked. Interpret the expression

Answers

Answer:

a

Step-by-step explanation:

hii :)

so we cant add n numbers and not n numbers.

knowing this, we have to somehow put them together.

2n-3+n+4

adding the 2n and n together: 3n-3+4

add -3+4=1

resulting in

3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)

i hope this was easy to understand!

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

(Btw that’s not 50 points, imma solve this for you because you’re desperate)

Using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
c = 8.1
Yaah what the guy said above me :^

Exercise 21.4
Write each of the following quadratic expressions in the form afx+p+
2. 6-2
1. 2r-58-12
4. 4-9-9
3. 20+ 6x-2
5. 3x² - 7x + 4
6. 7y + 19y-6
8. 107 + 9x + 2
7. 22 +51-42
9. 6 + 16x + 10
10.12716
5 Construction and simplification of formulae ar
quatil
inno​

Answers

Answer:

B

Step-by-step explanation:

Sjdxdbnjenide because x029w09

What is the area of the sector for the following circle? Round your answer to 4 decimal places. *

Answers

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

The parks department plans to cover a rectangular field
in a park with grass and must find the area of the field.
The field is 10 m longer than it is wide. The width of the
field is 25 m. What is the area to be seeded?
ASAP rn

Answers

Answer: 875 m²

Step-by-step explanation:

A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S. adults and ask them whether they have been to court.

Answers

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.


10. In a survey of 212 people at the local track and field championship, 72% favored the home team
winning
a. Find the margin of error for the survey.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who
favor the home team winning.

Answers

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error of the survey is:

[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval can be written as:

[tex]\pi \pm zM[/tex]

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that [tex]n = 212, \pi = 0.72[/tex]

a. Find the margin of error for the survey.

[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound:

[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]

Upper bound:

[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Find the missing side lengths. leave your answer as radicals simplest form

Answers

Answer:

Step-by-step explanation:

Both of the triangles are special 30-60-90 triangles

and the side lenghts for these angle mesurements are followed : q, q√(3),2q

q is given as 3 from the 9th question

so a = 6 (because it's 2q) and

b = 3

For the 10th question

the side length that sees 30 degrees is 3 which means q = 3 again

and x = 6

y = 3√(3)

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.

Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.

Answers

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

IF ITS RIGHT ILL MARK BRAINLIEST

Answers

Answer:

Answer is 12

Step-by-step explanation:

angle BCF+angle CFE=180(being co-interior angle)

4x+11x=180

15x=180

x=180/15

x=12

Select ALL ordered pairs that are located in the first quadrant of the coordinate plane.
A (-3,8)
B (9,-7)
C (5,4)
D (2,6)​

Answers

Answer:

C, D

Step-by-step explanation:

in the first coordinate plane, both numbers in a coordinate must be positive

What type of angles are 4 and 5

Answers

Answer:

Alternate interior angles.

The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines

Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.

Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.

When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.

The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.

To know more about  alternate interior angles. here

https://brainly.com/question/20344743

#SPJ2

There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students

Answers

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

plss help!!sorry if i asked alot

Answers

Its actually simple it is the slope for what you got on the first answer (2/3) because the equation is y=mx+b so you already found m just have to look more carefully :)

Answer:

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

Step-by-step explanation:

Formula is

y=mx+c So,2by 3 is m and x is there and 2 at last is c .

answer is 2 by 3

Pleaseee helppp I have no cluee!!!

Answers

Answer:

the correct answer is Victoria's answer

Please answer for brainliest [answer number 2]

Answers

Answer:

4

Step-by-step explanation:

an area that is 21 metre wide and 9 metre long is divided evenly into squares . what the greatest possible side length the squares that the area can be evenly divided into​

Answers

Answer:

47 squares

Step-by-step explanation:

Looking at your question was quite confusing.

So, I'll assume that you're looking for the amount of squares that can fit within the specified area.

To find area: we would do A = L x W

So, our values are 21W and 9L.

Plug it in.

A = 21 x 9

A = 189 square meters

Then, we would find the number of squares that could fit in the area.

A square meter is a square with a side length of 1 meter on each side.

So, 1 x 4 = 4

Divide 189 by 4.

189/4 = 47.25

1/4 is the remainder.

So, our total is 47 squares.

Do please, tell me if I did it incorrectly, since the context is quite vague.

stan bought 5lbs of raisins at $3.55/lb . if he wanted to but 4 more pounds of a different kind of raisins to make the average price per pound equals to $3.23 what price should he pay for the additional 4lb?

Answers

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.

Required:
What is an appropriate set of hypotheses for his significance test?

Answers

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

0.1−0.06

A giant tortoise can travel 0.19 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1 mile?

Answers

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

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