Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex] in the ratio m:n is given by:
[tex]x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1[/tex]
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
[tex]x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7[/tex]
Therefore the coordinates of point X is at (-13, -7)
please can someone help me solve this.. please help!!
Step-by-step explanation:
Hello,
Firstly just look to triangle BDE,
Here, you will find that,
140° = y+80° {the exterior and opposite interior angle of a triangle is equal}.
or, y= 140°-80° {shifting 80° to another side and subtracting it.}
Therefore, the value of y is 60°.
now, let's simply work with line EB or EG. we get;
angle GEF + y=180° { being a linear pair}.
or, angle GEF + 60°= 180°
or, angle GEF = 180°-60°
Therefore, the value of angle GEF = 120°.
now, looking in triangle EFG, we get;
angle GEF + 35°+x= 180° { the sum of interior angle of a triangle is 180°}.
or, 120°+35°+ x= 180°
or, x= 180°- 155°
Therefore, the value of x is 25°.
now, lastly finding the value of "z"
We find that x= z {being vertical opposite angle}
or, z =25°
Therefore, the value of z is 25°.
So, the values are,
x=25°
y=60°
and z= 25°
Hope it helps...
What is the equation for the line of symmetry in this figure?
Answer:
x = -1
Step-by-step explanation:
the line of the simetry is x = -1
Answer:
Its x = -1 because it splits the diamond shape perfectly at x -1
Step-by-step explanation:
Please give me the correct answer
Answer:
10 centimeters
Step-by-step explanation:
formula for volume of a cylinder = πr² · h
1. Set up the equation
(3.14)(r²)(14) = 4,396
2. Simplify
(43.96)(r²) = 4,396
3. Solve
r² = 100
√r = √100
r = 10
anyone know how to solve a functions equation such as x^2-x-x <0
Answer:
Step-by-step explanation:
[tex]x^{2} -x-x<[/tex] 0
[tex]x^{2} -2x[/tex] < 0
x^2-2x+1<1
(x-1）^2<1
-1<x-1<1
0<x<2
[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]
90 to the nearest tenth
Answer:
90
Step-by-step explanation:
90 has 0 ones so it is already rounded.
Answer:
90
Step-by-step explanation:
Hey there!
Well 90.000 to the nearest tenth is just 90 because there is decimal places to round.
Hope this helps :)
( 2x - 9) x ( x + 5 )
[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]
[tex] {2x }^{2} + 10x - 9x - 45 [/tex]
[tex] {2x}^{2} + x - 45 [/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x=14}[/tex]
Reorder the terms:
[tex]-9 + 2x = 5 + x[/tex]
Solving
[tex]-9 + 2x = 5 + x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]
Combine like terms: [tex]2x + -1x = 1x[/tex]
[tex]-9 + 1x = 5 + x + -1x[/tex]
Combine like terms: [tex]x + -1x = 0[/tex]
[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]
Add '9' to each side of the equation.
[tex]-9 + 9 + 1x = 5 + 9[/tex]
Combine like terms: [tex]-9 + 9 = 0[/tex]
[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]
Combine like terms: [tex]5 + 9 = 14[/tex]
[tex]1x = 14[/tex]
Divide each side by '[tex]1[/tex]'.
[tex]x = 14[/tex]
Simplifying
[tex]x = 14[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
using the property of squares find the value of the following 24 square - 23 square
Answer:
47
Step-by-step explanation:
Using the follwing property
[tex]x^{2} -y^2=(x+y)(x-y)[/tex]
in which x=24 and y=23
so
[tex]24^2-23^2=(24-23)(24+23)\\=1(47)\\=47[/tex]
Answer:
47
Step-by-step explanation:
Lets say 24 is x and 23 is y.
the equation would be x^2 - y^2
this is = to (x-y)(x+y)
substitute the numbers in
(24-23)(24+23)
which simplifies to
(1)(47)
which equals 47
How do we solve 56x + 79 if x = 23? (30 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT FIRST GETS BRAINLIEST.
Hello friend!
The answer is: 1367
First, since x = 23, we rewrite the problem.
56(23) + 79 = ?
Now we need to figure out 56 time 23
56 times 23 = 1288
Now we have 1288 + 79.
1288 + 79 = 1367
Answer:
1,367
Explanation:
Step 1 - Input the value of x in the given expression
56x + 79
56(23) + 9
Step 2 - Multiply fifty six by twenty three
56(23) + 79
56 × 23 + 79
1,288 + 79
Step 3 - Add
1,288 + 79
1,297
Therefore, the answer to the given expression is 1,367.
Astrid is in charge of building a new fleet of ships. Each ship requires 40 4040 tons of wood, and accommodates 300 300300 sailors. She receives a delivery of 4 44 tons of wood each day. The deliveries can continue for 100 100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 21002100 sailors.
Answer:
10 ships
Step-by-step explanation:
did it on Khan and
There can be many ways to solve this problem. Here, we will do this by thinking about units.
Let's say that Astrid can build
x
ships
xshipsx, start text, s, h, i, p, s, end text if she receives deliveries of wood for the maximum possible number of days, which is
100
days
100days100, start text, d, a, y, s, end text. How can we relate these two quantities with an equation?
100
days
⋅
y
ships
day
=
x
ships
100days⋅y
day
ships
=xships
So in order to find the number of ships
x
xx, we need to figure out the value of
y
yy, which is the rate of ships per day.
Hint #22 / 4
Notice what other information we are given:
40
tons
ship
40
ship
tons
40, start fraction, start text, t, o, n, s, end text, divided by, start text, s, h, i, p, end text, end fraction
300
sailors
ship
300
ship
sailors
300, start fraction, start text, s, a, i, l, o, r, s, end text, divided by, start text, s, h, i, p, end text, end fraction
4
tons
day
4
day
tons
4, start fraction, start text, t, o, n, s, end text, divided by, start text, d, a, y, end text, end fraction
2100
sailors
2100sailors2100, start text, s, a, i, l, o, r, s, end text
Which of these quantities can help us calculate a rate whose units are
ships
day
day
ships
start fraction, start text, s, h, i, p, s, end text, divided by, start text, d, a, y, end text, end fraction?
Hint #33 / 4
We can combine the following quantities:
4
tons
day
40
tons
ship
=
4
40
tons
day
⋅
ships
ton
=
0.1
ships
day
=
40
ship
tons
4
day
tons
=
40
4
day
tons
⋅
ton
ships
=0.1
day
ships
Now we can plug that in the original equation:
100
days
⋅
0.1
ships
day
=
x
ships
10
ships
=
x
ships
100days⋅0.1
day
ships
10ships
=xships
=xships
Hint #44 / 4
In conclusion, assuming Astrid receives the maximum possible amount of wood, she can build
10
1010 ships.
A man bought a car for 15000GH cedis . He later sold it at a profit of 25% .What was his selling price.
Answer:
3750 GH cedis
Step-by-step explanation:
Step-by-step explanation:
100%=15000GH cedis
125%=?
125×15000/100
18750GH cedis
Does anyone know this
=================================================
Explanation:
The graph goes on forever to the left and right. This means any real number x can be plugged into the function to get some output y. The domain is the set of all real numbers. In interval notation, we would say [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
The range is y > -100 because the exponential graph steadily approaches this horizontal asymptote. Think of it like an electric fence you cannot touch. Since we never actually get to this y value, this means y = -100 is not part of the range. Your teacher made a typo when they wrote [tex]y \ge -100[/tex] and instead they should have written [tex]y > -100[/tex]. So basically y can be anything larger than -100. The graph may look like it eventually reaches y = -100 itself, but it's actually just getting closer and closer to this y value. To write the range in interval notation, we would say [tex](-100, \infty)[/tex]
This function is exponential because it has the general shape all exponential growth functions do. We have a fairly flat part with very slow growth at first, but then as time goes on, the growth rate increases dramatically resulting in the very steep curve.
Quartic polynomials are 4th degree polynomials. They have the same end behavior as quadratic functions do, since both are even degree polynomials. We don't have a quartic here because the left end behavior isn't going off to positive infinity as the right end behavior is.
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
what is 136 1/50% of 231
Answer:
Step-by-step explanation:
136 1/50 % of 231 = 6801/50 % * 231
[tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]
= 314.2062
Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
f(x) = 2x + 3
f(x) = x2 + 2x - 3
f(x) = 3* - 2
Answer:
Linear f(x) = 2·x + 3
Quadratic f(x) = x² + 2·x - 3
Exponential f(x) = 3ˣ - 2
Step-by-step explanation:
1) Linear function
The general form of the linear equation is of the form, f(x) = y = m·x + c
Where;
m = The slope
c = y-intercept (Constant)
The linear function is therefore, f(x) = 2·x + 3
2) Quadratic function
The general form of the quadratic function is f(x) = a·x² + b·x + c
Where;
a, and b are the coefficients of x² and x respectively and c is the constant term
Therefore, f(x) = x² + 2·x - 3, is a quadratic function, with a = 1, b = 2, and c = -3
3) Exponential function
The general form of the exponential function is f(x) = a·bˣ + k
Where;
a = The initial
b = The multiplier (growth or decay value)
k = vertical shift
Therefore, the function f(x) = 3ˣ - 2 is an exponential function with the initial = 1, b= 3, and k = -2
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
Look at the pattern below. step 1 with 1 square step 2 with 3 squares step 3 with 6 squares step 4 with 10 squares How many squares will be in the pattern in step 6
Answer:
21 squares
Step-by-step explanation:
Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.
We proceed as follows;
What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.
Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;
That would be 10 + 5 = 15 squares
For step 6, we shall be adding the next integer (6) to the number of squares in step 5.
That would be 15 + 6 = 21 squares
How we got the initial next integer?
step 1 = 1 square
step 2 = 3 squares ( integer difference of 2)
step 3 = 6 squares ( integer difference of 3)
step 4 = 10 squares ( integer difference of 4)
so;
step 5 = 15 squares ( integer difference of 5)
step 6 = 21 squares( integer difference of 6)
What is the value of 4² - 2(3·5+1)? plz help, will mark brainliest A. 8 B. 1 C. -16 D. -21
Answer:
Hey there!
4^2-2(3(5)+1)
16-2(15+1)
16-2(16)
-16
C is correct.
Let me know if this helps :)
Answer:
[tex] \boxed{ \mathsf{ \boxed{ \purple{ \bold{{ - 16}}}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{ {4}^{2} - 2(3 \times 5 + 1)}[/tex]
Evaluate the power
⇒[tex] \mathsf{16 - 2(3 \times 5 + 1)}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 2(15 + 1)}[/tex]
Calculate the sum
⇒[tex] \mathsf{16 - 2 \times 16}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 32}[/tex]
Calculate
⇒[tex] \mathsf{ - 16}[/tex]
Hope I helped!
Best regards!
A man has two sons, one twice as old as the other. The man is four times as old as the older boy. In three years he will be five times as old as the younger boy. Find their present ages.
Answer:
Man's present age: 32 years
Older son's present age: 8 years
Younger sons present age: 4 years
Step-by-step explanation:
Let their present ages be represented by:
Man = a
Older boy = b
Younger boy = c
A man has two sons, one twice as old as the other:
b = 2 × c
b = 2c......... Equation 1
The man is four times as old as the older boy:
a = 4 × b
a = 4b.......Equation 2
In three years he will be five times as old as the younger boy:
a + 3 = 5 (c + 3)
a + 3 = 5c + 15........Equation 3
Since b = 2c and a = 4b
Subtitute 2c for b in Equation 2
a = 4b
a = 4 × 2c
a = 8c
Subtitute 8c for a in Equation 3
a + 3 = 5c........Equation 3
8c + 3 = 5c + 15
Collect like terms
8c - 5c = 15 - 3
3c = 12
c = 4
Therefore since c, represents the present age of the younger son, the younger son is 4 years old
b = 2c
b = 2 × 4
b = 8
Since b is the present age of the older son, the older son is 8 years old
a = 4b
b = 8
a = 4 × 8
a = 32
Since a is the present age of the man, the man is 32 years old
Therefore,
Man's present age: 32 years
Older son's present age: 8 years
Younger sons present age: 4 years
If a box of cat food can feed 5 cats for 4 days how long can a box of cat food & cat?
Answer:
HOME CARE & WELLNESS BASIC PET CARE HOW LONG CAN YOU SAFELY LEAVE A CAT ALONE?
BASIC PET CARE
How Long Can You Safely Leave a Cat Alone?
How Long Can You Safely Leave a Cat Alone?
People who live with cats know that they're not nearly as aloof or independent as alleged. Although cats don't require daily walks like dogs, your presence matters to them… and not only because you have the ability to open a can, fill a water bowl and clean a litter box.
Still, there may be times when you must leave your adult cat for overnight or longer. (Kittens younger than four months should not be left alone for more than four hours. Older than that, they can handle another hour or so. When they reach six months, they can tolerate an eight-hour day without company.)
The length of time you can leave a grown-up cat alone depends on the cat, his diet and your environment. Cats who eat dry food that you can make readily available may be left on their own for 24-48 hours as long as fresh water is accessible as well. Beyond that time frame, water may get too dirty to drink and the litter box full.
To prepare for leaving your cat alone, take steps to make your absence as low‐stress on him as possible. This should include a conversation with your veterinarian.
Answer:
31
Step-by-step explanation:
multiple 5 into 7 that is equal to I week than find the answer that is equal to 35 and minas it by 4 that is equal to 31
Solve the inequality for x.
7 > 2x+9
Answer:
x<-1Step-by-step explanation:
[tex]7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1[/tex]
what do anthropologist study and why
Answer:
Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.
-4.1=8(y-5) it says solve equation
[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]
7. Verify the following: i) (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0 ii) (a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc iii) (p – q) (p² + pq + q²) = p³ – q³. EXPLAIN
1. (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0
We know that (a+b)(a-b) = a²-b²
(ab + bc)(ab -bc) can be written as a²b² - b²c²
(bc + ca)(bc -ca) can be written as b²c² - c²a²
(ca + ab)(ca - ab) can be written as c²a² - a²b²
→ a²b² - b²c² + b²c² - c²a² + c²a² - a²b²
→ a²b² - a²b² - b²c² + b²c² - c²a² + c²a²
→ 0
2. (a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc
→ a³ + ab² + ac² -a²b - abc -ca² + a²b + b³ + bc² - ab² - b²c - abc + a²c + b²c + c³ - abc - bc² - c²a
→ a³ + b³+ c³ + (- abc - abc - abc) + (ab² - ab² )+ (ac² - ca² ) -(a²b + a²b )+ (bc² - bc² )+ (a²c - c²a) + (b²c - b²c)
→ a³+b³+c³ - 3 abc .
3. (p – q) (p² + pq + q²) = p³ – q³.
→ p³ + p²q + pq² - p²q - pq² - q³
→ p³ - q³ +(p²q - p²q) + (pq² - pq²)
→ p³ - q³
The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
Write a function, C(x), to model the water used by the car wash on a shorter day.
Answer:
C(x)=3x³+4x²-11x-8
Step-by-step explanation:
The water usage is modeled by the equation W(x) = 4x³ + 6x² − 11x + 7
The amount of decrease in water used is modeled by D(x) = x³ + 2x² + 15
C(x)= W(x)-D(x)
C(x)=4x³ + 6x² − 11x + 7-(x³ + 2x² + 15)
C(x)=4x³ + 6x² − 11x + 7-x³-2x²-15
c(x)=3x³+4x²-11x-8
Answer:
the second option
Step-by-step explanation:
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
Let u = , v = . Find u + v. (1 point)
Answer:
i couldnt find a solution to the equation all i could get is u +v
Step-by-step explanation:
what were you trying to say when you said "let u="
Answer:
4.8
Step-by-step explanation:
(-3,4) + (8,2) = 4.8
how many 4 digit numbers can be formed if repetitions are not allowed and the numbers always end with 3?
- 405
- 450
- 540
- 504
Answer:
448
Step-by-step explanation:
we have four spaces
_ _ _ _ but we know that they end in 3
_ _ _ 3 so the question changes how many 3 digit numbers can be formed without repetion and 3
so the first one has 8 options 1,2,4,5,6,7,8,9 we can have 0 here.
the second one 8 we count 0
the third 7 so we have
8*8*7*1=448
dont know why it doesn't fit.
Could someone clarrify this for me Factor completely 3x^2 + 2x − 1. (3x + 1)(x − 1) (3x + 1)(x + 1) (3x − 1)(x + 1) (3x − 1)(x − 1)
Answer:
(3x-1) (x+1)
Step-by-step explanation:
3x^2 + 2x − 1
3x^2 factors into 3x and x
-1 factors into -1 and 1
We want a postive 2x
(3x-1) (x+1)
Answer:
(3x-1)(x+1)
Step-by-step explanation:
3x² + 2x − 1
when factorizing , first look at the constant number( in this case it is 1 prime number), then find the GCF if found.
(3x )(x ) first step : 3x*x=3x^2
(3x- ) (x+ ) the sign for the constant is minus so the factoring has to be minus and plus on each side
(3x-1)(x+1) look at the 2x it has positive sign, means the sign is plus:
3x-1
x+1
regular standard multiplication
3x(x)-1(x)+1(3x)-1
3x²+2x-1
GIVE ME A REAL ANSWER PLEASE! IT IS DUE NOW! Factor completely 3x^2 + 5x + 1.
(3x + 1)(x + 1)
(3x + 5)(x + 1)
(3x − 5)(x + 1)
Prime
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
it can't be factorizes with rational numbers
Answer:
Prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3 years? A. 1.2 g B. 2.7 g C. 3.3 g D. 2.1 g E. 0.2 g
Answer:
B. 2.7 g
Step-by-step explanation:
The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\ Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent[/tex]
Given that:
Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g[/tex]
