Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.
Answer:
a) 10(5g + 2r) weight loss over time
b) 20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50) or 5(5 + g) = 30g
c) 30g = 12 days = 3/5 therefore 5/5 -3/5 = 2/5 = 2/5 x 50 (g) = 20g in 8 days lost
8/20 = 0.4 loss each day 50g - 0.8g = 20-2 = 18 days.
Step-by-step explanation:
What is the product?
213 × 314
Answer:
66882
Step-by-step explanation:
Answer:
product
Step-by-step explanation:
213×314=66,882
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB
Answer:
Step-by-step explanation:
I will assume that the scale factor is 2.5
A'(-5,2.5) True
AB || A'B' True
?? What does ABAB" mean?
A'B' is an enlargement of AB True
What is the leading coefficient of the polynomial F(x) defined below?
Answer: 2
Step-by-step explanation:
The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .
In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?
Answer: 16.1
Step-by-step explanation:
1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get
Answer:
Each friend will get 5/8 (excluding Rita)
Each person will get 15/28 (including Rita)
Step-by-step explanation:
You must simply divide 3 3/4 ÷ 6 (excluding Rita)
You must simply divide 3 3/4 ÷ 7 (including Rita)
Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3
Answer:
3x
Step-by-step explanation:
Answer:
3x = y
Step-by-step explanation:
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
11.) In the equation 6x = 84, what is the next step in the equation solving sequence?
Isolate the variable through inverse operations.
Solve for the variable.
Identify and move the coefficient or variable.
Combine like terms.
Answer:
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-6*x-(84)=0
Step by step solution :
STEP 1: Pulling out like terms
1.1 Pull out like factors :
-6x - 84 = -6 • (x + 14)
Equation at the end of step 1:
STEP 2: Equations which are never true
2.1 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x+14 = 0
Subtract 14 from both sides of the equation :
x = -14
One solution was found :
x = -14
Answer: i think u should divide 84 by 6 to keep x alone the answer is x=14
but the answer depends on the sign of the variable .
Step-by-step explanation:
please help me . i'm trying to get my grades up and i'm struggling
Answer:
D
Step-by-step explanation:
just took that test
1over 4 power negative 5
Answer:
4 to the 5th power (4^5)
In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?
A. $120
B. $1200
C. $600
D. $5400
Answer:
5400
Step-by-step explanation:
2400+3000
Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).
Step-by-step explanation:
mark me as a brainlist hope its helpful yo you
The function is increasing from (–∞, 0). Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
From the graph, the function is increasing from (–∞, 0).
Then the correct option is A.
The complete question is attached below.
More about the increasing and decreasing of function link is given below.
https://brainly.com/question/14330051
#SPJ2
s - k + x; when s = 7, k = 4, x = 6
what does this mean someone help quick
Answer:
you just plug in those numbers... 7-4+6 = 9
MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?
A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.
B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."
C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.
D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.
Verify that f and g are inverses functions using composition , show your steps
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.
Answer:
x = 5
Step-by-step explanation:
Since Q is the midpoint of PR,
PQ = QR
=> 3x + 2 = 7x - 18
=> 3x - 7x = -18 - 2
=> -4x = -20
=> x = -20/-4
=> x = 5
Hope it helps :)
Please mark my answer as the brainliest
factor the expression by grouping: ax+ay+az+3x+3y+3z
please answer fast
Answer:
(x+y+z)(a+3)
Step-by-step explanation:
ax+ay+az+3x+3y+3z
=(ax+ay+az)+(3x+3y+3z)
=a(x+y+z)+3(x+y+z)
=(x+y+z)(a+3)
A DVD originally costs $16. The discounted price is $12. What is the
percent change?
25% increase
25% decrease
18.75% increase
18.75% decrease
Which one of those answers?
And explain?
Answer:
The answer to your question is 25% decrease.
Answer:
25% decrease
25% of 16 is 4
Make it brainliest and give it heart ty
#CarryOnLearning
what is the slope of (4,8) and (10,7)
Answer:
The answer is -1 / 6
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1 = m
7 - 8 / 10 - 4 = -1 / 6
What is the value of 15x - 20x?
A. -35x
B. -5x
C. 5x
D. 35x
Answer:
Step-by-step explanation:
15x - 20x = -5x
answer is B
Answer:
Its b
Step-by-step explanation:
Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
about the origin.
Answer:
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
:)
Answer: Choice B
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
A. It is a smaller scalene triangle than the original triangle.
B.(It is a same size scalene triangle as the original triangle.)
C.It is a larger scalene triangle than the original triangle.
13,406,109 pennis into dollars
Answer:
$134,061.09
Step-by-step explanation:
hope this helps
Answer:
134,061.09
Step-by-step explanation:
Divide 13,409,109 by 100
$134,061.09This can also be expressed as 134, 061 dollars, and 9 pennies.
Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)
Answer:
y = 3x - 1
Step-by-step explanation:
distribute on the right side of equation first
y - 5 = 3x - 6
now add 5 to each side
y = 3x - 1
Answer:
Step-by-step explanation:
y - 5 = 3x - 2
y = 3x + 3
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
18h 19min 26s
+ 25h 45min 48s
Answer:
2 days 5 minuts 14 seconds
Step-by-step explanation:
1 1 1 1 1
18 19 26
+25 45 48
1 24 05 14
What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast
Answer:
9.5
Step-by-step explanation:
When rounding to the nearest tenth, check to see what the hundredths place value is.
If it is 0.05 or greater, we will round the tenths place up one.
If not, the tenths place will remain the same.
Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.
So, the correct answer is 9.5
Find the volume of the cylinder and cone, then add them together.
★ Volume of cylinder :-
V = πr²hHere,
r is radius h is heightWe have :
r = 2cm h = 7cmSubstituting the values :
> V = π (2 × 2) × 7
> V = 4π × 7
> V = 28π
★ Volume of cone :-
V = ⅓ π²hWe have :
r = 2cm h = 6 cmSubstituting the values :
> V = ⅓ × π × (2 × 2) × 6
> V = ⅓ × π × 4 × 6
> V = ⅓ × π × 24
> V = 8π
★ According to the question :-
Adding them together,
> Total Volume = 8π + 28π
> Total Volume = 36π
[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]