Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.
can anyone simplify 5(x-6)
Answer:
5x - 30
Step-by-step explanation:
5(x-6)
Distribute the 5 to both terms inside the parentheses
5*x - 5*6
5x - 30
Answer:
5x-30
Step-by-step explanation:
use the distributive property
PLEASE HELP!!
Find the area of the following triangle enter the exact answer as a decimal
Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
please help.
What is the slope of the line given by the equation y = 2x + 6?
Answer:
The slope is 2 and the y intercept is 6
Step-by-step explanation:
y = 2x+6
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is 6
Answer:
2
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
y = 2x + 6
m = 2
Slope is 2
whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!
Answer:
me :- mighty assassin-,-
xd
Only answer if you’re sure of it. FAST!!
A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.
help me pls and solve for x
Answer:
See below.
Step-by-step explanation:
sin(71) = x/23
x = sin(71) * 23
x = 21.75
Answer:
21.75 (2 digit after decimal)
Step-by-step explanation:
Sin theta = perpendicular/hypotenuse
sin 71=x/23
23 sin 71=x
x=21.747
Find the measure of DF
Answer:
144 = arc DF
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
72 = 1/2 arc DF
Multiply by 2
2*72 = arc DF
144 = arc DF
How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?
Answer:
The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Step-by-step explanation:
The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]
Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Which equation represents a line which is perpendicular to the line 6x+y=-4
Answer:
y = 1/6x - 4
Step-by-step explanation:
y = -6x - 4
current slope is -6 so the slope of a line perpendicular would be 1/6
y = 1/6x - 4
Solve for x in the equation
Answer:
its the first one
Step-by-step explanation:
ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]
Answer:
y = 2
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = ([tex]\sqrt{2}[/tex] )² = 2
pls help
Factor out the GCF
16x - 48
Answer:
16
Step-by-step explanation:
the greatest common factor of 16 and 48 is 16
Factors for 16: 1, 2, 4, 8, and 16.
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
which pairs of angles in the figure below are vertical angles select all that apply
Answer:the left one
Step-by-step explanation:
the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get
please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Answer:
B
Step-by-step explanation:
B
can you help me find the code
link/picture in the comments
Answer:
????? sus
Step-by-step explanation:
sussy baka????
among sus
What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..
Answer:
ratio is 1/2
Step-by-step explanation:
r=8/16 =1/2
Answer:
1/2
Step-by-step explanation:
16 * 1/2 = 8
8 * 1/2 = 4
4 * 1/2 = 2
Hope this helps!
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
hey again, could you help me with this and explain? thank you
Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
What is the square feet
A.60 square feet
B.54 square feet
C.42 square feet
D.104 square feet
ahh could i get sum help?
Answer:
8/35 cubic inches
Step-by-step explanation:
Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.
Please Help!!
In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26
Answer:
The answer is D
Step-by-step explanation:
This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D
WILL GIVE BRANLIEST!!! pls help tysm!!!
find the centre and radius for this circle , x^2+y^2=25
Answer:
centre = (0, 0 ), radius = 5
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5
The circumference of a circle is 125.6
kilometers. What is the circle's radius?
Answer:
r = 20 km
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-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 Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = 2πr
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
C = 125.6 km
Step 2: Solve for r
Substitute in variables [Circumference of a Circle Formula]: 125.6 km = 2(3.14)rMultiply: 125.6 km = 6.28r[Division Property of Equality] Divide 6.28 on both sides: 20 km = rRewrite: r = 20 kmAnswer:
197.29
Step-by-step explanation:
Multiple the circumfernece by 3.14 and then divide that number by 2.
Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number. A. 48° B. –48° C. 50° D. –50°
9514 1404 393
Answer:
C. 50°
Step-by-step explanation:
The angle whose tangent is 1.19 is ...
arctan(1.19) ≈ 49.9585° ≈ 50°
The 50° measure of an angle whose tangent is 1.19.
What is tangent?Tangent in geometry, is defined as "a line or plane that touches a curve or curved surface exactly at one point" .
According to the question,
The degree measure of an angle whose tangent in 1.19.
In order to an angle only if arctan(119) = 49.9585 ≈ 50.
Hence, the 50° measure of an angle whose tangent is 1.19.
Learn more about Tangent here
https://brainly.com/question/20725027
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don’t really get this pls help
Answer:
B
Step-by-step explanation:
It should be B
please answer quickly easy 15 points but please answer quick
Answer:
24.25 feet
Step-by-step explanation:
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.493
$2.505
$2.509
$2.498
Answer:
$2.498
Step-by-step explanation:
