Answer:
0.01%
Step-by-step explanation:
y=a (0.5)^t/5730
y=a [(0.5)^t/5730]
when you put 0.5^1/5730
it'll give you 0.99
The "equation" is y=a(1-r)^t
so 1-0.99 is 0.01
The percent of carbon-14 released each year will be 50.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The equation is given below.
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]
Where 'a' is the initial amount (in grams) and 't' represents the number of years.
The equation is also written as,
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]
The percent of carbon-14 released each year will be 50.
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an algebric expression that is true for all types of variable is called
Answer:
An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.
Step-by-step explanation:
PLZ HELP ILL GIVE BRAINLIEST PLZZZ
Answer:
8/9
Explanation:
2/9 x 4/1 = 8/9
how many differnt triangles can you make if you are given these three measurements for angles
Answer:
3
Step-by-step explanation:
i think?
Which expressions are equivalent to 12a+24b? Select all that apply. 10(2a+14b) 2(6a+4b) 6(2a+4b) 3(4a+8b)
Answer:
3(4a+8b)
Step-by-step explanation:
12a + 24b
= The common multiple between 12 and 24 is 3
3(4a + 8b)
Hence the expression which is equivalent to 12a + 24b is 3(4a+8b)
Determine the Value of x,y and z.
Answer:
x=9
y=16
z=12
Step-by-step explanation:
y = -2.5x+3.2 help I don’t know what to do
Answer:
the answer y= -8 cuz (-2.5×3.2) = -8 so the answer is -8
How do you solve 3x7x4 using parentheses
Answer:
84
Step-by-step explanation:
Answer:
either (3x7)x4 or (3)(7)(4)
Step-by-step explanation:
For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees
Answer:
Exact answer = 26π/45 feet.
or we can write it as 1.815 feet to the nearest thousandth.
Step-by-step explanation:
The circumference of the circle = 2*4*π = 8π feet.
So the length of S = (26/360) * 8π
= 26π/45 feet.
a) Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x = 1
Answer:
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
Step-by-step explanation:
A solution of the polynomial is a root such that sign of dependent value changes, either from positive to negative or from negative to positive. Let [tex]f(x) = x^{3} + 6\cdot x - 5[/tex], [tex]x[/tex] is a solution of the equation if and only if [tex]f(x) = 0[/tex]. We proceed to evaluate the function at each bound:
x = 0
[tex]f(0) = 0^{3}+6\cdot (0) - 5[/tex]
[tex]f(0) = -5[/tex]
x = 1
[tex]f(1) = 1^{3}+6\cdot (1) - 5[/tex]
[tex]f(1) = 2[/tex]
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
Anyone who can help me answer this I’ll brainliest you :)
Answer:
If <1 and <2 are complementary, and <2 and < 3 are complementary, then <1 and < 3 are also complementary.
Step-by-step explanation:
Two angles are complementary when they add up to the same whole. For example, two angles are complementary when they add up to 90 degrees. This is a simple "if A=B, and B=C, then A=C" situation. The angles may have different degrees but all add up to the same one, making them complementary.
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┻━┻ ︵ ＼( °□° )／ ︵ ┻━┻ I didn’t do that ¯\_(ツ)_/¯
Flip this table, (╯°□°）╯︵ ┻━┻ flip that table, ┻━┻ ︵ ヽ(°□°ヽ) FLIP ALL THE TABLES,
┻━┻ ︵ ＼( °□° )／ ︵ ┻━┻ I didn’t do that ¯\_(ツ)_/¯
*Art Block be like*
(ﾉಥ益ಥ）ﾉ ┻━┻
How many solutions does |x+2|=0 have?
two solutions
one solution
no solution
Answer:
No solution
Step-by-step explanation:
Define the variables for the situation. Then enter an equation.
The pencils were divided into 6 groups of 4.
p =
(select)
Enter an equation:
M
6
Answers:
The definition of the variable:
P = Pencils
The Equation:
[tex]\frac{p\\}{6}[/tex] = 4What we know:
The pencils were divided into 6 groups of 4.
The variable for pencils is P.
Step-by-step explanation:
So, to find the equation we plug-in P over 6 because we are dividing the pencils into 6 groups. We plug in the number 4 in the right-hand box because it represents the number which is in each group. So this equation shows that the Pencils (P) is split into 6 groups with 4 pencils in each group.
I hope this helps! Have a great day! :D
Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO
Answer:
45448
Step-by-step explanation:
What is the area of this circle?
Answer:
4π
Step-by-step explanation:
Area = πr^2 or πd
in this case, d = 4, so its 4π
The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the numbers?
Answer:
The second number = 30
The first number = 25
The third number = 50
Step-by-step explanation:
Let
The second number = x
The first number = x - 5
The third number = 2(x - 5)
Total = 105
105 = x + (x - 5) + 2(x - 5)
105 = x + x - 5 + 2x - 10
105 = 4x - 15
105 + 15 = 4x
120 = 4x
x = 120/4
x = 30
The second number = x
= 30
The first number = x - 5
= 30 - 5
= 25
The third number = 2(x - 5)
= 2(30 - 5)
= 2(25)
= 50
what is the domain and range for a^x and a^-x?
If the angles are represented in degrees, find both angles:
cos(8x+18)=sin(−2x+36)
Answer:
24 and 66degrees
Step-by-step explanation:
Given the equation
cos(8x+18)=sin(−2x+36)
In trigonometry identity, cos theta = sin (90- theta)
The given expression becomes;
sin (90 - (8x+18)) = sin(−2x+36)
sin will cancel out to have;
90 - (8x+18) = (−2x+36)
90-8x-18 = -2x+36
-8x +72 = -2x+36
-8x + 2x = 36 - 72
-6x = -36
x = 36/6
x = 6
Hence the value of x is 6
cos(8x+18) = cos(8(6)+18)
= cos 66
Also
sin(−2x+36)
= sin(−2(6)+36)
= sin(−12+36)
= sin 24
Hence both angles are 24 and 66degrees
15 EASY POINTS.............
Answer:
x³+7x²+14x+8
Step-by-step explanation:
distribute!
(x³+3x²+2x)+(4x²+12x+8)
add the similar values
x³+7x²+14x+8
Answer:
do math
Step-by-step explanation:
n < -4
need answers fast math test to at 11:59 pm today but gotta get done faster than that.
plz. and thank you!!
Answer:
N would equal anything lower than -4 for example, -5 or -6
Step-by-step explanation:
yw
find the measure of the angle
PLEASEEEE HELPPPP
I-ready
Answer: 62 degrees
Step-by-step explanation:
Answer:
62 degrees
Step-by-step explanation:
Yesterday, there were 40 problems assigned for math homework. Adele did 10% of them correctly. How many problems did Adele get right?
Answer:
4
Step-by-step explanation:
10% in decimal form is .1
You would multiply 40 by .1 or 10%.
10% of 40 is 4.
The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in
Answer:
2 in
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length
Plug in 8 as V and solve for s:
V = s³
8 = s³
Take the cube root of both sides:
2 = s
So, the length of one side is 2 inches.
The length of one side of cube will be 2 in i.e. option D.
What is volume ?Volume is the amount of space that something contains or fills.
Volume of the cube = side³ = a³
We have,
Volume of the cube = 8 in³
And,
Side of cube = a
So,
Volume of the cube = side³ = a³
i.e.
8 = a³
⇒ a³ = 8
a = ∛8
On solving we get,
a = 2
i.e.
Side of cube = 2 in
Hence, we can say that the length of one side of cube will be 2 in i.e. option D.
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What is the recursive rule for this geometric sequence?
3,3/2,3/4,3/8,...
a1=12;an=32⋅an−1
a1=32;an=12⋅an−1
a1=12;an=3⋅an−1
a1=3;an=12⋅an−1
Answer:
1
Step-by-step explanation:
omggggggg i dont know please helppppppppppp meeeeeee
Answer:
12
Step-by-step explanation:
Subtract 38 from 50, and get your answer
Convert 27576 kilometres per hour to metres per second.
Answer:
27576 kilometres per hour = 7660 meter per second
Why is x = 6 a solution to the proportion 192/36 = 32/x ?
Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right
Answer:
It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.
Step-by-step explanation:
Write 14/square root of 2 + square root of 50 in the form b square root of 2 where b is an integer
Step-by-step explanation:
[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]
The given expression can be written in the form of b√2 as 12√2 where b = 12.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].
It can be rewritten as,
[tex]14/\sqrt{2}+\sqrt{50}[/tex]
Multiply √2 to both numerator and denominator of 14/√2 as,
14√2/2 + √50
⇒ 7√2 + √(5 × 5 × 2)
⇒ 7√2 + 5√2 = 12√2
On comparing 12√2 with b√2, it is obtained as,
b = 12
Hence, the given expression can be written as 12√2.
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1. What is the distance between Point A(-2,3) and Point B (-2,8).
Answer:
5
Step-by-step explanation:
Please show the solving
Step-by-step explanation:
YELLOW TRIANGLE:
[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]
PURPLE TRIANGLE:
Since one of the angle is 45°, x = BC = 6
To prove:
[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]
PINK TRIANGLE:
[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]