Answer:
Therefore, required equation is N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
Step-by-step explanation:
According to the question it is given that
Amount of carbon atom when animal was alive is [tex]N_0[/tex] = 100g
Half life of C-14 is 5730 years
Let 'N' be the amount of carbon atom present after 't' time
since the differential equation of decay process of radioactive atom is
[tex]\frac{dN}{dt} = \lambda N[/tex] where, λ is the decay constant
on solving this we get
[tex]N = N_0 e^{-\lambda t}[/tex]
on further solving and substituting [tex]\lambda = \frac{ln2}{T_{1/2}}[/tex] we get
[tex]N = N_0 2^{- \frac{t}{T_{1/2}} }[/tex]
on substituting the value of [tex]N_0[/tex] = 100g and [tex]T_{1/2}[/tex] = 5730 we get
N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
PLEASEEEEEEE HELP ASAP!!
the relationship between the number of cup of flower, f and the number of cups of milk, m ,used in a cake recipe can be modeled as an equation f=1/4 m. How many cups of flower should be used for 2 cups of milk? answer as a fraction only
Answer:
Hi... U should do like this
In ΔWXY, if m∠W is five less than three times m∠Y and m∠X is 8 more than m∠W, find the measures of each angles?
Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
David and Denise share n pears in the ratio 4:9. If n = 39 how many pears does David have?
Answer:
David has 12 pears.
Step-by-step explanation:
4 + 9 = 13
39 / 13 = 3
3 x 4 = 12
3 x 9 = 27
I'm sorry if this is confusing but I really need the help...
45x^6y^-5 / 3x^4y^2 x 5x^-4y^-6
Answer:
I hope I got it correct
Step-by-step explanation:
!Help !
Joelene goes to bed three hours after dinner. Yesterday, after dinner, she spent 1 ½ hour on her homework and ⅔ of an hour on the telephone. Home much time did she have left before bedtime?
Answer:
50 minutes
Step-by-step explanation:
she spent 1 hr and 30 minutes on homework
she spends 2/3 of an hour on the phone = 40 minutes
1 hr 30 min + 40 minutes = 2 hrs and 10 min
so she had 50 minutes to kill before bedtime since she goes to sleep 3 hrs after dinner
2hr 10 min + 50 min = 3 hrs.
will mark brainliest
solve the equation and give the x and y variables. Show your work
3x + 3y = 9
5x + 4y = 10
Answer:x = y = 3 x + 3 y = 9 = 5 x + 4 y = 10 =
Step-by-step explanation:
6x + 4 = 5x+17 + 120
need this answerd ASAP pls! thank u!
Answer:
x = 133
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
6x + 4 = 5x + 17 + 120
Step 2: Solve for x
Combine like terms: 6x + 4 = 5x + 137Isolate x terms: x + 4 = 137Isolate x: x = 133Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(133) + 4 = 5(133) + 17 + 120Multiply: 798 + 4 = 665 + 17 + 120Add: 802 = 682 + 120Add: 802 = 802Here we see that 802 does indeed equal 802.
∴ x = 133 is the solution to the equation.
the sum of k and 141
Answer:
k + 141
Step-by-step explanation:
the sum means addition .
hope this helps !
Solve for x
-30 = 5(x + 1)
=
Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2
Answer:
24
Step-by-step explanation:
x = 8, y = 3, z = 2
(1/4) x {8[2(3)+3(2)]}
(1/4) x {8(6 + 6)}
(1/4) x {48 + 48} (by distributing)
1/4 x 96
= 24
Is ✓ 2 a rational or irrational?
Answer:
[tex]\sqrt{2}[/tex] is a irrational number
please help i will mark brainliest if correct
Answer: X=86
Step-by-step explanation: do 47+47=94 94-180=x
180= sum of all angles in a triangle btw hopr this helps
help help help ( I WILL MARK YOU AS BRAINLIEST )
if x and y varies directly as each other and x = 4 when y = 16. find y when x = 9
One student did an experiment of the rock cycle. The steps of the expirement are shown below what does the students experiment most likely demonstrate about the rock cycle
The given question is incomplete. The complete question is :
One student did an experiment on the rock cycle.
The steps of the experiment are shown below.
Collect five pieces of wax of different colors.
Use a plastic knife to scrape off thin shavings of the pieces of wax.
Pile the wax shavings of different colors one over the other.
Hold the pile of wax shavings in the palm and squeeze it for two to three minutes. Fold the pile and squeeze it in the palm again for a minute.
What does the student's experiment most likely demonstrate about the rock cycle?
a. Weathering can change igneous rocks into sediments.
b. Weathering can change metamorphic rocks into sediments.
c. Heat and pressure can change igneous rocks into metamorphic rocks.
d. Heat and pressure can change sedimentary rocks into metamorphic rocks.
Answer: Option D
Explanation: The rock cycle defines the conversion or transformation of igneous rock into sedimentary rocks and sedimentary rocks into metamorphic rocks. The conversion of rocks into these three forms is continuous.
The igneous rocks on weathering forms sediments which on cementation and compaction gets converted into sedimentary rocks. Then sedimentary rocks under tremendous heat and pressure gets converted into metamorphic rocks.
These processes takes millions of years to gets converted from one rock form to another.
Here, in the experiment wax shavings of different colors one upon another shows that they are sedimentary rocks and pressing it between palm or hand shows that heat and pressure is applied on it. This shows the conversion of sedimentary rocks into metamorphic rocks.
A team spent 20 minutes on passing drills and 40 minutes on shooting drills.
What is the ratio of time spent on shooting drills to time spent on passing drills?
1 to 3
3 to 1
2 to 1
1 to 2
Paul's Pizzeria sells 45 cheese pizzas and 20 pepperoni pizzas each week.
What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?
4:2
3:1
9:4
9:2
Which simplified ratio correctly compares 12 yards to 20 feet?
3:5
5:3
5:9
9:5
Answer:
3 to 1
Step-by-step explanation:
its
-6.2f + 2.9f - 22 - 4= __ f -26
Answer:
-3.3f
Step-by-step explanation:
-22+-4=-26, that's why there is -26 at the end.
-6.2f+2.9f=-3.3f
-3.3f-26
Hope it helped!
Please give brainliest, thank me and rate it 5. :)
find the slope of the line through each pair of points (6, -10) , (-15 , 15)
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}[/tex]
Step-by-step explanation:Two points are given to us and we need to find the slope of the line . The slope of the line passing through points [tex]\bf (x_1,y_1 ) \ \& \ (x_2,y_2) [/tex] is given by ,
[tex]\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]
Here , the points are ,
( 6 , -10 )( -15 , 15 )[tex]\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}[/tex]
★ Hence the slope of the line joining the two points is -25/21 .Colette loves to get manicures with her mom. In the past year, however, her mom has had 5 manicures for every 3 Colette has had. If Colette's mom has had 4 more manicures than Colette in the past year, how many manicures has Colette had?
Answer:
Collette had 6 manicures done last year.
Step-by-step explanation:
Since Collette's mom has 67% more manicures than Collette (2 more for every 3), and that difference represented 4 manicures in total, then:
let x be the number of manicures that Collette had during last year.
4 / x = 2/3
2x = 12
x = 6
Good morning can y’all help me???
Answer:
First one proportion. Next it is direct variation. Lastly it is proportion.
Step-by-step explanation:
A ___________ is used to change from one unit to another.
What is the sum of angles in a triangle and circle
The sun of the 3 inside angles of a triangle = 180 degrees.
A circle = 360 degrees.
The sum of both would be 180 + 360 = 540 degrees.
Answer:
3 angles in a triangle add up to 180
And 360 in a circle
81x^4-1 factor with steps
Given:
The expression is
[tex]81x^4-1[/tex]
To find:
The factorized form of given expression.
Solution:
We have,
[tex]81x^4-1[/tex]
It can be rewritten as
[tex]=3^4x^4-1^2[/tex]
[tex]=(3x)^4-1^2[/tex] [tex][\because a^xb^x=(ab)^x][/tex]
[tex]=((3x)^2-1)((3x)^2+1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]=(3x+1)(3x-1)(3x+1)(3x-1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
This is the complete factorized form. It can also written as
[tex]=(3x+1)^2(3x-1)^2[/tex]
Therefore, the complete factorized form is [tex](3x+1)(3x-1)(3x+1)(3x-1)[/tex].
Please help i forgot to post the image on the last one
Answer:
x y
0 2
2 6
4 10
6 14
I'll use the second one as the example.
First I found the x value because it was the value gaven to me, then I found the y value that lined up with it. Since the x value was 2, I had to go to the 2 on the x axis and went up until I got to the line, then I went horizontal until I hit the y axis and that's how I got 6 for the y value.
I hope this helped!!
ax+3x=bx+5 please solve for X
Answer:
x = 5 / (a+b+3)
Step-by-step explanation:
ax+3x=bx+5
x = 5 / (a+b+3)
Solve for the variable.*
-a + 3a =10
A. {-9}
B. {5}
C. {-11}
D. {2}
Answer:
5
Step-by-step explanation:
-a+3a= 10
2a=10
a=10/2
a=5
What is the y-intercept of y
- 2x + 6?
Choose 1 answers
(6,0)
B
(0,6
(-2,0)
(0, -2)
Answer:
(0,6)
Step-by-step explanation:
A bag contains 5 milk and 13 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
P(milk)
=
P(not milk)
=
Answer:P(milk) 5/18 - 27% ----------- P(not milk) 13/18- 73%
Step-by-step explanation:
total chocolates in the bag= 18 (5 milk chocolates + 13 dark chocolates= 18 chocolates in total)
to find percentages divide numerator by denominator ( 5/18 = 27%) (13/18=73%)
P(milk) - 27% chance you will get milk chocolate
P(not milk) 73% chance you will get dark chocolate
It is more likey to get dark chocolate
can someone help me please?
Answer:
90.6
Step-by-step explanation:
89.7 + 92.6 + 83.9 + 96.2=
362.4
362.4 divided by 4 =
90.6
Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.