Answer:
[tex]0.625kg[/tex]
Step-by-step explanation:
we are given half-life of PO-210 and the initial mass
we want to figure out the remaining mass after 420 days
in order to solve so we can consider the half-life formula given by
[tex] \displaystyle f(t) = a {0.5}^{t/T} [/tex]
where:
f(t) is the remaining quantity of a substance after time t has elapsed.a is the initial quantity of this substance.T is the half-lifesince it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5
thus substitute:
[tex]\displaystyle f(420)=5\cdot{0.5}^{420/140}[/tex]
reduce fraction:
[tex]\displaystyle f(420)=5\cdot{0.5}^{3}[/tex]
By using calculator we acquire:
[tex]\displaystyle f(420)=0.625[/tex]
hence, the remaining sample after 420 days is 0.625 kg
Which is the solution set of this equation? |x – 6| = 15 A. {-9, 21} B. {-15, 15} C. {9, 21} D. {-9, -21} E. {-6, 6}
Answer:
A. -9, 21
Step-by-step explanation:
Use m.a.t.h.w.a.y and you will get the answer!
Answer:
A
Step-by-step explanation:
| x-6| = 15 , check if this is true for the given x values
for x= -9 we have | -9-6| = 15 true
for x= 21 we have | 21 -6| = 15 true
so A is a solution set
for x= -15 we have | -15-6| = 15 false
so B is not a solution set
for x= 9 we have | 9-6| = 15 false
so C is not a solution set
for x= -9 we have | -9-6| = 15 true
for x= -21 we have | -21-6| = 15 false
so D is not a solution set
for x= -6 we have | -6-6| = 15 false
so E is not a solution set
Plz help with this I don’t know what to do
Answer:
Just guessing here but would the bottom be 4,8,12,16,20 maybe since it is going by 4 then you do the same for the top since it is going by 3
Step-by-step explanation:
Answers:
Row One: 9, 15Row Two: 8, 16, 20Input the numbers only in each box. So that means you won't type in a comma.
The least common denominator is 12
=======================================================
Explanation:
Your teacher wants you to list the multiples of each denominator.
The multiples of 3 are: 3, 6, 9, 12, 15The multiples of 4 are: 4, 8, 12, 16, 20The values in bold are what will go in the boxes in those first two rows.
The least common denominator is 12 because it is the smallest thing found in common in the two lists above. In other words, 12 is the LCM (least common multiple) of 3 and 4. Note how 3*4 = 12. This works because 3 and 4 do not have any common factors between them other than 1.
The LCD (least common denominator) is the LCM of the denominators. The LCD is useful for when you want to add or subtract fractions. The denominators must be the same for you be able to add or subtract them.
i need help asap RIGHT ANSWERS ONLY PLEASE !!!!!!’n
Answer:
hey, the answer is 9π m²
What is the distance between (-2,-8)(7,-3)
Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]P(blue) someone plz help me
Help please
Thanks <3
Answer:
answer in the screen shot provided
how to solve x^2-4x=-12
x = 6 and x = -2
Step-by-step explanation:
Put the 12 to the other side
x^2 - 4x - 12 = 0
Now factor this out:
(x - 6)(x + 2) = 0
Therefore, the roots of this equation are
x = 6 and x = -2
f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT
Answer:
A
Step-by-step explanation:
Given :
f(x) = ³√[ x - 9 ]And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.
So that ,
[tex]:\implies[/tex] f(x) = y
[tex]:\implies[/tex] y = ³√[ x - 9 ]
[tex]:\implies[/tex] x = ³√[ y - 9 ]
[tex]:\implies[/tex] x³ = y - 9
[tex]:\implies[/tex] y = x³ + 9
[tex]:\implies[/tex] f-¹(x) = x³ + 9
Hence option A is correct .
PLS ILL MARK BRAINLIEST (100 points)
Answer:
For part A:
9x² - 36x + 36 = 0
9(x² - 4x + 4) = 0
9(x-2)(x-2) = 0
Radicand = Discriminant = 36² - 4(9)(36) = 0
there is 1 real zero that repeats itself)
zero is x=2.
Use factoring. Factors of 7 are 1 and 7
2x²-9x+7 = 0
(2x-7)(x-1) = 0
2x-7 = 0 (x-1)=0
2x = 7x=1
x = 7/2
Your solutions are x = 1 and x = 7/2
Step-by-step explanation:
Find the 93rd term of the arithmetic sequence -6,13,32...
Answer:
1742
Step-by-step explanation:
I am of the belief this is the right answer according to the arithmetic calculator.
The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?
Answer:
1)3 2)86
Step-by-step explanation:
3h+77=SA AND 92-2h=MB
3h+77=92-2h
-77. = -77
3h= 15-2h
+2h=+2h
5h=15
H=3
I need help. NO links or I will report.
Answer:
30
Step-by-step explanation:
Well I think that this is a line, and so the angle is 180. The other line is 90 which is half of 180. It leaves 90 left. then all you have to do is solve the equation 3x=90 (x+2x=3, 9-9=0) 90 divided by 3 is 30.
How do I solve these problem?
Answer:
- 199
Step-by-step explanation:
7.
a1 = 25
d = - 16
15th term is t15.
Formula : -
an = a + ( n - 1 )d
t15
= 25 + ( 15 - 1 ) - 16
= 25 + 14 ( - 16 )
= 25 + ( - 224 )
= 25 - 224
= - 199
I just need help in this last question plsssss
Answer:
B) 0.8
Step-by-step explanation:
If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.
P (A) * P (B) = 0.8 x 1 = 0.8
Please help I'm doing homework and its due at 1:00!
What is -3x-y=-24 if Y =3x
Answer:
x= 4 and y= 12
Step-by-step explanation:
solve by substitution
hope this helps :D
Please help I will give brainliest to the first correct answer!!!
an event that cannot happen is
a certain
b possible
c impossible
Im really struggling with this, i need A on this test please help me!
Question 4 options:
The volume of the square pyramid is ___ cubic centimeters.
The volume of the square pyramid is 600cm^3
i need help solving this math problem from my practice work
HELP PLEASE!! a space station orbits earth at a rate of 57 miles every 3 seconds
Write the space stations rate of change
Answer:
i think its every 90 minutes but I could be wrong.
Step-by-step explanation:
A cake weighs 215 g and is shared equally between five people. What weight of cake does each person receive?
Answer: 43 g
Step-by-step explanation: For 215 to be divided equally between five people the equation should be set up as 215/5, which equals 43 g for each person.
please help will mark brainliest
Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?])
Answer:
(2,12)
Step-by-step explanation:
mathpapa
Answer:
(2,1)
Step-by-step explanation:
What is the value?
I’m confused lolz {}:
Answer:
14
Step-by-step explanation:
1/9(3)^4+5
1/9*81+5
9+5
14 is your answer
Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna
Answer:
5898
Step-by-step explanation:
7,390 - 1,492 = 5898
Another name for rate of change is slope.
true or false.
Answer:
True
Step-by-step explanation:
Answer:
True!
Step-by-step explanation:
“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.
What is the value of x for this triangle.
Answer:
13
Step-by-step explanation:
you have to use Pythagorean Theorem which is
(a^2) + (b^2) = (c^2)
where a and be are the legs 45° from each other and c is the hypotenuse.
so just plug in the numbers
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
now square root both sides to get rid of the square on c
root(169) = root(c^2)
13 = c
Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm
Answer:
C. 2, 808 cm^3
Step-by-step explanation:
Given that
The base of the pyramid is 18 centimeters
And, the height of the pyramid is 26 centimeters
We need to find out the volume of the pyramid
As we know that
The volume of the pyramid is
= 1 ÷ 3 × base^2 × height
= 1 ÷3 × 18^2 × 26
= 2,808 centimeter^3
Hence, the correct option is c.
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?