The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
What is half-life?This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
R' = R/([tex]2^{T/t}[/tex])............. Equation 1Where:
R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-lifeFrom the question,
Given:
R = 8640T = 120 yearst = 30 yearsSubstitute these values into equation 1
R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: https://brainly.com/question/25750315
Help picture below problem 17
Answer:
b= 7
Step-by-step explanation:
Answer:
Missing Side = 7 feet
Step-by-step explanation:
by Pythagora
25² = P² + 24²
625 - 576 = P²
P² = 49
P = √49
P = 7 feet
Last year, Handy Hardware
Store sold 45,078 bolts and
5,011,542 nails. How many more
nails did the store sell than bolts?
Answer:
5,011,542 nails - 45,078 bolts = 4,966,464 more nails sold than bolts
Step-by-step explanation:
write the equation of line through (3,6) and (-4,-1)
Answer:
y=x+3
Step-by-step explanation:
The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= 3, y1= 6, x2= - 4, y2= - 1
so m = 1
Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).
b=6-(1)(3)
b=3
Finally, the equation of the line can be written in the form
y = mx+b
y=x+3
can someone help me really please
Answer:
5/6
Step-by-step explanation:
since there already is a common denominator all you have to do is add the numerators
Area of each triangle
Answer:
I only know the answer to second triangle only
As area is equal to half base * alltitude
So put the value in the formula
We get
24
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.
Answer:
there are three outcomes
Step-by-step explanation:
three colours= three outcomes
don't have a diagram
A basketball player averaged 20 points a game over the course of six games. His
scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?
Average Points= 20
No. of games = 6
Total points= 20×6=120
So, Sum of Score of five games= 23+18+16+24+27= 108
Therefore, Score in 6th game= 120-108= 12
Hope this helps[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]
To find :-
The sixth score of the game
Given :-
All five scores = 23, 18, 16, 24, and 27
The average of all six score = 20
Solution :-
We will use the average formula to find the sixth score.
[tex]average = \frac{total \: of \: all \: scores}{number \: of \: scores} [/tex]
And let the sixth score be x.
[tex]20 = \frac{23 + 18 + 16 + 24 + 27 + x}{6} [/tex]
Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.
[tex]20 \times 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x[/tex]
Result :-
The sixth score by the baseball player is 12.
NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9
Answer:
relationship: inverseequation: y = 25/xStep-by-step explanation:
You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.
__
The equation should be written so that y is a function of x:
[tex]\boxed{y=\dfrac{25}{x}}[/tex]
The x in the denominator clearly shows that y is proportional to the inverse of x.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 5
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values can be calculated by dividing 25 by the x-value.
[tex]\sf y=\dfrac{25}{x}[/tex]
giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600?
Answer:
$ 62 244
Step-by-step explanation:
Commission = .09 * 691600 =
I NEED HELP ASAP, I NEED BOTH QUESTIONS ANSWERED THIS IS WORTH 50 POINTS SO PLS HELP ASAP~~
HELP ME OUT PLS!!!!!!!
1) Why was the narrator surprised when she walked to the carnival?
A) She heard noises coming from the park.
B) She saw shadows on the walls of the tent.
C) The moonlight lit up the streets in the town.
D) It seemed as if she was alone on the streets.
I really need help now. 100 points plus brainly if correct. I GOT THINGS TO DO!!! Answer the question in the picture
Answer: 4,000
Step-by-step explanation:
The only logical choice there because of the rate of others
Answer: c is the answer
Step-by-step explanation:
If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?
O -1
O 3/2
O 41/8
O23
Answer:
the answer is 3/2........
What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides.
Convert 1.5 kg to grams
Answer:
1500 g
Step-by-step explanation:
The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...
1.5×(1000 g) = 1500 g
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Which equation could be used to find the value of f?
5+10−8=f
5 + 10 + 8 = f
5×10−8=f
5 × 10 + 8 = f
Answer:
5 x 10 + 8 = f
Step-by-step explanation:
The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.
In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.
Then he gets 8 more flowers which is why it has +8 in the equation.
The equation to get the total number of flowers is the last one:
f = 5*10 + 8
Which equation could be used to find the value of f?
We know that Ash has 5 bunches of flowers, each one contains 10 flowers, so there we have:
5*10 = 50 flowers.
Then he adds 8 more flowers, then we can write the total number of flowers as:
f = 5*10 + 8.
So the equation that we need to use is the last one.
If you want to learn more about equations:
https://brainly.com/question/2972832
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PLEASE HELP
A bank is offering 2.5% simple intrest on a savings account if 5,000 is deposited what is the balance in a year?
Answer:
The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)
Rate = 2.5%
Time = 1 year
Now, on putting the values given in the formula
S.I.= 9,250 Rupees
Now we convert it into dollars by diving 9,250 rupees by 74 rupees.
We get,
9250/74 = 125 dollars
Step-by-step explanation:
4. There are two numbers that add together and the result is 63. If you subtract the same number together, the result is 28.
a) Create two equations from the statement above. Make sure to specify what each variable means.
b) Solve the system of equations by Elimination.
Answer:
45.5 and 17.5
Step-by-step explanation:
a)
Let Number 1 be X and Number 2 be YX + Y = 63X - Y = 28b)
From adding 1. and 2. ,2X = 91X = 45.5Y = 63 - 45.5 = 17.5what is the median mean mode and range of 1,3,5,8,10?
Answer: median: 5
mode: 5.4
Range: 9
Step-by-step explanation:
Median: middle of the numbers
Mode: Add them all together and divide by number of terms
Range: Most minus least
At a concession stand, seven hot dog(s) and four hamburger(s) cost $21:25, four hot dog(s) and seven hamburger(s) cost $22.75 Find the cost of one hot dog and the cost of one hamburger
Step-by-step explanation:
If 4 hamburger = $21.25
1 hamburger = x
Cross multiply
4 x x = $21.25 x 1
4x = $21.25
Devide both side with the coefficient of x
4x/4 = $21.25/4
X = $5.3125
Therefore 1 hamburger cost $5.31
If 4 hotdogs = $22.75
1 hotdog = y
Cross multiply
4 x y = $22.75 x 1
4y = $22.75
Devide both sides with the coefficient of y
4y/4 = $22.75/4
Y = $5.6875
Therefore one hotdog cost $5.69
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
7 hot dogs + 4 hamburgers = $21.504 hot dogs + 7 hamburgers = $22.75Let's set some variables.
hot dogs = xhamburgers = ySo, our equations are :
7x + 4y = 21.504x + 7y = 22.75Mulitply equation #1 by 7 and equation #2 by 4.
49x + 28y = 150.50 (Equation 3)16x + 28y = 91.00 (Equation 4)Subtract equation 4 from equation 3.
49x - 16x + 28y - 28y = 150.5 - 9125x = 59.5x = $2.38 [cost of one hot dog]Substitute value of x in equation 4.
16(2.38) + 28y = 9138.08 + 28y = 9128y = 52.92y = $1.89 [cost of one hamburger]Simplify this fraction to the lowest terms 14/12
Answer:
1 1/6 or 7/6
Step-by-step explanation:
Divide both 14 and 12 by 2
HELP!Use elimination method to solve the system of equations please fast
Answer:
x=1/4 Y=-1/2 z=1/3
Step-by-step explanation:
due to large fractions the answer is explained in the image above
5 divided by 2 1/7
Simplest form
Answer: 2 1/3
Step-by-step explanation:
We first convert this to mixed number: 5/1 / 15/7
Then cross cancel and factor to get 7/3.
Lastly we convert this back to a mixed number.
So we get 2 1/3 or 0.667 (decimal)
Kerry participated in a fundraiser for the Children's Wish Foundation yesterday. She sold 115 pins for $3 each, 214 ribbons for $4 each, 85 coffee mugs for $7 each, and 347 baseball hats for $9 each. Calculate the average amount Kerry raised per item.
Answer:
$6.46
Step-by-step explanation:
The average per item is the quotient of the total raised and the number of items. The total raised is the sum of the products from multiplying the number of items at a given price by that price.
__
A weighted average is computed easily using a spreadsheet or calculator.
Here, the average amount per item is computed by a calculator to be ...
$6.46 per item, average
Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2
units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6
Answer:y=x^2 translated 3 to the right gives
y=(x-3)^2, the vertex shifts from (0,0) to (3,0)
translate it 4 up by adding 4
y=(x-3)^2 + 4, this shifts the vertex up to (3,4)
f(x) = (x-3)^2 + 4 or call it
g(x) = (x-3)^2 + 4 if you want to distinguish it from the original f(x) function
Step-by-step explanation:In this question we have been given a function f(x) = |x|
When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|
And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2
Therefore the given graph in option B is the correct option.
all of these are service industries except zoo bakery law firm or travel agency
Answer:
A zoo
Step-by-step explanation:
A zoo can't be consisdered a "service industry" compared to the other ones.
So
A.) Zoo
is your answer
express secA in terms of tanA
Answer:
[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Step-by-step explanation:
[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Mai and her sister are planting a garden.They made 2 plant beds.one was 4 feet by 3 feet and the other 5 feet by 5 feet.they want to outline the beds with bricks that are 1foot long.How many bricks will they need to outline both beds?
Answer:
27 bricks
Step-by-step explanation:
find the perimeter of the first one, 4 x 3 = 12. Then the perimeter of the second one, 5 x 5 = 25. Therefore 12 + 15 = 27. Meaning you need 27 bricks
The pie chart below indicates the eye colors of students
in a statistics class
Which of the following could be the percentage of
students with brown eyes?
Eye Colors
O 10%
15%
20%
O 35%
Blue
Brown
Green
Hazel
Gray
Answer:
15% could be for brown eyes
