Answer:
10 g
Step-by-step explanation:
40/2 = 20 g
20/2 = 10 g
If half-life of a radioactive kind of tellurium is 2 months. If you start with 40 grams of it, then 10 gm of it left after 4 months.
What is Half life?Half-life is the time required for a quantity to reduce to half of its initial value.
Given,
The half-life of a radioactive kind of tellurium is 2 months
It started with 40 grams of radioactive kind of tellurium
As given, half is for two months
In first two months it becomes 20 gm
40/2= 20gm
In second two months the 20 gm is reduced by half
20 gm/2=10gm.
Hence, 10gm of radioactive kind of tellurium is left after 4 months.
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Hilbert’s hotel has rooms numbered 1, 2, 3, 4, 5, . . . – one room for each positive integer. Guests are sometimes asked to move rooms, but never more than once a day. Guests are never asked to share a room with anyone else, and guests are never turned away. Guests often arrive to Hilbert’s hotel in one of his special buses. Each bus holds passengers numbered 1, 2, 3, 4, 5, . . . – one passenger for each positive integer. 1. Our story opens with Hilbert’s hotel empty. A bus full of guests arrive at Hilbert’s hotel. (a) How can Hilbert assign people to rooms?
Answer:
For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it
Step-by-step explanation:
Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well
Hilbert can assign people to rooms by using a plot of first come first serve
i.e. For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it
9. The ages of A and B are in the ratio 3:5. Four years later,
the sum of their ages is 48. Find their present age
Answer:
A = 15 B = 25 in four years 19+29 = 48
Step-by-step explanation:
age A and B ratio is 3 to 5
A+4 + B+4 = 48
A + B = 40
A/B = 3/5 A = 3B/5
A + B = 40
3B/5 + B = 40
3B + 5B = 200 multiple both sides by 5
8B = 200
B = 25
A = 3B/5
A = 3(25)/5
A = 15
Answer:
15
Step-by-step explanation:
What is the correct answer for this question?
Answer:
3 2/3 inches (the last one)
Answer:
[tex]maybe \: letter \: a[/tex]
5,000 is invested at an interest rate of 8% compounded annually. how much is the investment return after 20 years?
Step-by-step explanation:
5k×8×20
_______ =800
100
Answer:
≈ 23305
Step-by-step explanation:
The amount A is calculated as
A = P [tex](1+r)^{t}[/tex]
P is the principal
r is the interest rate
t is the time in years
A = 5000 [tex](1+0.08)^{20}[/tex]
= 5000 [tex](1.08)^{20}[/tex]
≈ 23305 ( to the nearest whole number )
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
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If m∠A = (11x + 37)° and x = 13, find m∠A and classify the angle (acute, right, obtuse, straight). Someone give me the two answers for this problem.
9514 1404 393
Answer:
obtuse, straight
Step-by-step explanation:
If you insist on two answers, there is only one pair of answers that are self-consistent:
obtuse, straight
__
m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse
answer and show Actual PROOF and ill give brainliest
Answer:
105m^3
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying l*w*h. Basically, just multiply all the numbers together.
So that would be 3*5*7
The sides of a triangle have lengths 6, 8, and 11. What is
the length of the longest side of a similar triangle whose
perimeter is 75?
Answer:
48 is the answer
Step-by-step explanation:
The longest side of the similar triangle whose perimeter is 75 is 33 units.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
The sides of the given triangle are,
6 units, 8 units and 11 units.
Also given that,
There is a similar triangle whose perimeter is 75 units.
To find the longest side of the similar triangle,
Let the sides of the similar triangle are 6x, 8x and 11x
The perimeter of triangle = 75
Implies that,
6x + 8x + 11x = 75
25 x = 75
x = 3
Since, the longest side of the similar triangle = 11 x
Substitute x = 3 here,
Longest side = 11 × 3 = 33 units
The required side of similar triangle is 33 units.
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What is the present value for $12,484 at 8% for two years
Answer:
Total = Principal * (1 + rate)^2
Total = 12,484 * (1.08)^2
Total = 14,561.34
Source http://www.1728.org/compint.htm
Step-by-step explanation:
which is greater 0.98 or 0.980
Answer:
They are equal.
Step-by-step explanation:
Answer:
both are equal its just a zero added
A park is in the shape of an isosceles triangle with a base of 56 feet. The perimeter of the park is 190 feet. How long is each of the equal sides of the park?
9514 1404 393
Answer:
67 feet
Step-by-step explanation:
The perimeter is the sum of the base length and the two equal sides (s).
190 = 56 +2s
134 = 2s . . . . . . subtract 56
67 = s . . . . . . . . divide by 2
Each of the equal sides is 67 feet long.
Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4.
Answer:
D. Jackie rolls a number that is less than 3.
Step-by-step explanation:
Every time Meiling rolls a number greater than a four, she will get a point. This gives her two numbers that she can get a point off of, 5 and 6. So If Jackie were to roll a number less than a three, Jackie would also get two numbers that she can get a point off of, 1 and 2. So the answer "Jackie rolls a number that is less than 3" will give Jackie an equally likely chance for a point.
If an outfit consists of one shirt, one pair of jeans, and one pair of shoes, how many outfits can be made from five pairs of jeans, six shirts, and two pairs of shoes?
Answer:
2
Step-by-step explanation:
One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.
If you had the above number of shirts, jeans, and shoes, the number of possible outfits you can make is 60 outfits.
An outfit requires only one each of a shirt, a pair of jeans and a pair of shoes.
If you have six shirts, five pairs of jeans, and two pairs of shoes, the number of outfits you can make using on of each is:
= Number of shirts x Number of jeans x Number of shoes
= 6 x 5 x 2
= 60 outfits
In conclusion, you can make 60 outfits.
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Given vectors A=(1i+7j−2k)N and B=(−1i−10j+13k)N, find the magnitude of resultant of these two vectors and angle that the resultant of these two vector makes with the z axis.
IRI= ____ N,
γ=_____ °. pls help mangota
Answer:
Step-by-step explanation:
y= 7.2
Iri=21.1
Answer:
that should be correct:)
Step-by-step explanation:
y= 7.2
Iri=21.1
A stack of books is 35 inches high. If each book is 1 3/4 inches thick, how many books are in the stack?
Answer:
20 books
Step-by-step explanation:
Height of stack = 35 inches
Thickness of one book [tex] =1\frac{3}{4} =\frac{7}{4}\: in [/tex]
No. of books
[tex] = 35 \div \frac{7}{4} \\ \\ = 35 \times \frac{4}{7} \\ \\ = 5 \times 4 \\ \\ = 20[/tex]
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
Susan invests $Z at the end of each year for seven years at an annual effective interest rate of 5%. The interest credited at the end of each year is reinvested at an annual effective rate of 6%. The accumulated value at the end of seven years is $X. Lori invests $Z at the end of each year for 14 years at an annual effective interest rate of 2.5%. The interest credited at the end of each year is reinvested at an annual effective rate of 3%. The accumulated value at the end of 14 years is $Y.
Required:
Calculate Y/X.
Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]
= 2.02955
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
There are 30 marbles in a bag. There are 10 red marbles, 7 green, 6 blue, and 7 yellow. If you randomly grab a single marble, what are the odds of grabbing a yellow?
Answer:
Step-by-step explanation:
The odds of grabbing a yellow marble from the bag are 7/30 or 0.233.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odds of grabbing a yellow marble can be find by dividing the number of yellow marbles by the total number of marbles in the bag:
Odds of grabbing a yellow marble = Number of yellow marbles / Total number of marbles
By given there are 7 yellow marbles and a total of 30 marbles in the bag, so:
Odds of grabbing a yellow marble = 7 / 30.
Therefore, the odds of grabbing a yellow marble from the bag are 7/30 or approximately 0.233 or 23.3%.
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What is 57 divided by 90?
Answer:
0.63 should be your answer
Answer;
0.6333333
Step-by-step explanation:
I think it's helps you
-9/5+-2/3+1/5+3/5 please solve someone
Answer:
-5/3
Step-by-step explanation:
-9/5 + -2/3 + 1/5 + 3/5
= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)
= -1 - 2/3
= -5/3
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
Lynda was a horrible waitress. She spilled a drink on you and she brought you the wrong food. The bill came to $56.35 so you left her $3. What was the percent of tip you left her?
Answer:
5.32 percent of the tip
3/12 is equivalent to 1/4 true/false
Answer:
True.
Step-by-step explanation:
You can use the cross-multiply rule.
The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.
3/12 = 1/4
3 x 4 = 12
12 x 1 = 12
Therefore, 3/12 is equivalent (equal) to 1/4.
Yes the statement is true .
3/12 is equal 1/4
Here
Use cross-multiply rule.
The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.
3/12 = 1/4
3 x 4 = 12
12 x 1 = 12
Therefore, 3/12 is equivalent to 1/4.
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1. 4 less than q
2. The product of 5 and x, reduced by 3
Guys please help me I need this note to pass 6th grade
Mr. Lopez was taking a drive to the mountains with his family they arrived at the mountains at 3:09 PM if the drive was two hours and 36 minutes long what time do Mr. Lopez family leave 
Answer:
they left at 12:34
Step-by-step explanation:
I did the math
9514 1404 393
Answer:
12:33 pm
Step-by-step explanation:
Often, problems involving addition and subtraction of time values are best worked in 24-hour "military" time.
Here, we want to know the time that is 2:36 before 3:09 pm. We can write 3:09 pm as 15:09. Then the difference is ...
starting time + travel time = ending time
starting time = ending time - travel time
starting time = 15:09 -2:36 = (15-2):(09-36) = 13:(-27) = 12:33
Mr Lopez's family left at 12:33 PM.
__
There are 60 minutes in an hour. 60-27=33.
simplify 8x+7-x-4
help meeeeee!!!
Answer:
7x + 3
Step-by-step explanation:
Let's simplify step-by-step.
8x + 7 − x − 4
= 8x + 7 + −x + −4
Combine Like Terms:
= 8x + 7 + −x + −4
= (8x + −x) + (7 + −4)
= 7x + 3
Answer:
= 7x + 3
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!
Four adult alligators weigh 1,812 kilograms. If each alligator weighs the same, how many kilograms does one alligator weigh?
my noluv.joel15 who wanna follow