Using an exponential function, it is found that the mass 2.2 thousand years from now will be of 103.6 mg.
What is an exponential function?It is modeled by:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
In which:
A(0) is the initial value.k is the decay rate per n years.In this problem:
The decay rate is 12.10% per thousand years, hence k = 0.121, n = 1000.The current mass is 135.2 mg, hence A(0) = 135.2.Then:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
[tex]A(t) = 135.2e^{-0.121\frac{t}{1000}}[/tex]
The mass 2.2 thousand years from now will be given by:
[tex]A(2200) = 135.2e^{-0.121\frac{2200}{1000}} = 103.6[/tex]
The mass 2.2 thousand years from now will be of 103.6 mg.
More can be learned about exponential functions at https://brainly.com/question/25537936
what is the SSS congruence theorem?
HELP ASAP PLSSS
Identify the relationship
BETWEEN the two angles below. Select ALL that
apply.
Linear Pair
Supplementary Angles
Congruent Angles
Complementary Angles
Vertical Angles
Adjacent Angles
Answer:
complementry and ajaecent
Step-by-step explanation:
complementry because they add up to 90 and ajecent cause they are next to each other
The tires of a semi-trailer truck are 3.2 feet tall. How many 360-degree rotations do the tires make when the truck travels 190 feet? Round your answer to the nearest whole number.
Answer:
4329deg/360deg=12 revolutions
Step-by-step explanation:
Someone pls I need help with this problem comment asap “what is a division word problem that can be represented by 4/3”
Answer:
4 divided by 3 will be your answer
Answer:
4 divided by 3
Step-by-step explanation:
Given;
what is a division word problem that can be represented by 4/3
Solve;
/ = ÷ or divide
Thus, 4 divided by 3 or Four divided by three.
Division word problem:
The family equally shares 4 boxes of pizza among 3 people
~Learn with lenvy~
what is the slope of the line that passes through (3,-5) and (-7,15)
Answer:
Slope = -2
Step-by-step explanation:
Answer: The slope is -2
Step-by-step explanation: Find the difference in y-values divided by the difference in x-values
15 -(-5) = 20
-7 - 3 = -10
20/-10 = -2
21=|c-30| can someone help me.
Answer:
c = 51, 9
Step-by-step explanation:
hope this helps
have an awesome day -TJ
Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
6. Find m2.
Can someone explain how to get the answer to this question please.
Answer:
m∠2 is 55°
Step-by-step explanation:
Let us revise some facts in geometry
In any triangle, the sum of the measures of its angles is 180°If two line intersected at a point, then they formed two pairs of vertically opposite angles, the vertically opposite angles are equal in measuresWe will use these facts to solve our question
∵ ∠1 is an angle of a triangle
∴ m∠1 + 40° + 85° = 180° ⇒ 1st fact
→ Add the like terms in the left side
∴ m∠1 + 125° = 180°
→ Subtract 125° from both sides
∴ m∠1 + 125° - 125° = 180° - 125°
∴ m∠1 = 55°
∵ ∠1 and ∠2 formed from the intersecting of two lines
∴ ∠1 and ∠2 are vertically opposite angles
∴ m∠1 = m∠2 ⇒ 2nd fact
∵ m∠1 = 55°
∴ m∠2 = 55°
round 3.94 to the nearst whole
Answer:
4
Step-by-step explanation:
Find the number in the whole number place
3
and look one place to the right for the rounding digit on the right side of the decimal point
9
Round up if this number is greater than or equal to
5
and round down if it is less than
5
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
7) Find the base of a triangle whose height is 12cm, and area is 96cm? Your answer
Answer:
16 cm
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Substitute given information into the formula:
96= ½ ×base ×12
Simplify:
96= 6 ×base
Divide both sides by 6:
base= 96 ÷6
base= 16 cm
Answer:
16 cm[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.
[tex] \\ [/tex]
To find the base of the triangle, we have to know this formula :
[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]
Now, substituting the values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]
Therefore,
The base of the triangle is 16 cmThe sum of two numbers is 100; the first number is 12 less than the second number? What equation best represents the following
Answer:
Let the first number be f.
Let the second number be s.
f = s-12
f+s = 100
Substitute the f in the first equation for the second equation.
s-12+s = 100
2s-12 =100
2s = 112
s = 56
Therefore f = 56-12 = 44
The 2 numbers are 56 and 44.
Is{(3,-2),(4, -2),(5,-2),(6,-2)} a function?
Answer:
Yes
Step-by-step explanation:
It is because function can be many to one but it cannot be one to many.
5. Expand the monomial x⁴y².
Answer:
23y
Step-by-step explanation:
this my answer hope it's help
make me brainless pls
A student is ordering dried chili peppers and corn husks for a cooking class.
Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.
Solve for r.
a = qb to
What is r equal to?
r=a−qb is the correct answer-
r=0
Step-by-step explanation:
r is not in the equation
A light airplane is flying at 85 km/h on a heading of 130°. The wind is blowing at 25 km/h from a bearing of 260°. Find the ground velocity of the airplane.
Answer:
71.54km/hr
Step-by-step explanation:
The city's budget is 8000000 the city actually spends 12000000 what is the city's deficit
Answer:
-4000000
Step-by-step explanation:
What is 48 1/10-2 7/9
Answer:
Step-by-step explanation:
I'm not sure that my answer is correct but i got 45
PLEASE HELP WILL GIVE BRAINLIEST!!!! Suppose f(x)=x^2-2 find the graph of f(1/2x)
Answer: graph 3
Step-by-step explanation:
The governor of state A earns $49,185 more than the governor of state B. If the total of their salaries is $297,715, find the salaries of each.
The governor of state A earns $|
and the governor of state B earns $
Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars
Hope this helps!!!
Step-by-step explanation:
mark me brainliest please
A man gets an invoice for $460 with terms 4/10, 1/15, n/30. How much would he pay 6 days after the invoice date?
Answer:
$441.60
Step-by-step explanation:
Invoice amount: $460
Term 4/10= 4% discount if paid early within the first 10 days of the invoice date
Amount due: $441.60
Discount amount: $18.40
Invoice amount: $460
Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date
Amount due: $455.40
Discount amount: $4.60
Invoice amount: $460
Term: n/30= no discount if paid on or after the 30 days from the invoice date
Amount due: $460
Discount amount: $0
Given the function g(a) =4a -3. Solve for g(-2)
Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11
Step-by-step explanation: your welcome. :)
Answer:
-11
Step-by-step explanation:
g(a) = 4a -3
g(-2)= 4(-2)-3
g(-2)= -8-3
g(-2)= -11
2.) Virginia stitches pants. She made 10 pairs on Monday, 12 on Tuesday, 9 on Wednesday, 11
on Thursday and 15 on Friday. She is paid $5.79 for each complete pair, How much did
Virginia earn during this week?
Answer:
in total she made 330.03$
Step-by-step explanation:
in total she made 57 pants and she paid 5.79 for each so you multiply and get the total
what is the measure of 6?
explain why please
please anwser this asap.
Statement Reason
1. 3x + 7 = ∠2 (Vertically opposite angles)2. ∠2 = ∠5 (Corresponging angles)3. ∠5 = ∠6 (Vertically opposite angles)⇒ ∠2 = ∠5 = ∠6 = 3x + 7
Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.
Finding the value of x:
⇒ ∠6 + 4x + 5 = 180
⇒ 3x + 7 + 4x + 5 = 180
⇒ 7x + 12 = 180
⇒ 7x = 180 - 12
⇒ 7x = 168
⇒ 7x/7 = 168/7
⇒ x = 168/7 = 24
Now, substitute the value of x into the expression "3x + 7" to find ∠6.
Finding the measure of ∠6:
⇒ ∠6 = 3x + 7
⇒ ∠6 = 3(24) + 7
⇒ ∠6 = 72 + 7
⇒ ∠6 = 79°
What is the inverse of the function f(x) = 2x – 10?
Answer:
f^-1(x) = (x+10) / 2
Step-by-step explanation:
sooo
f(x) = 2x - 10
y = 2x - 10
x = 2y - 10
x + 10 = 2y
y = (x + 10) / 2
f^-1(x) = (x+10) / 2
Answer:
[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]
As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].
what is the density of object X if the mass is 100g with a volume of 6
Answer:
4.0 g/ml
Step-by-step explanation:
[tex] Volume_X [/tex] = water displaced by X
Water displaced by object X = Final fluid level - Original fluid level
Water displaced by object X = 90 ml - 65 ml = 25 ml
[tex] Volume_{X} = 25 ml [/tex]
Density of rock:
100 grams => 25 ml
x grams => 1 ml
Cross multiply
x*25 = 1*100
25x = 100
25x/25 = 100/25
x = 4
Density of object X = 4 g per 1 ml = 4.0 g/ml
Cj walks 8 miles in 3 hours what is the unit rate does cj walk
Answer: 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
8/3 ( 8 divided by 3)
2 [tex]\frac{3}{5}[/tex]
Answer: 2 3/5
Step-by-step explanation: sorry for answering late and have a wonderful day!!!!!
also my i didnt know i walked 8 miles in 3 hours lolz. im just playin XD
The average class size in the school is 25 students. Suppose this class is
representative of all the students in the school. How many students in this class are
boys?
Answer:
10 of the students in the class are boys
Which step shows the result of applying the subtraction property of equality?
One-fourth (12 x + 8) + 4 = 3
Step
Solution
1
3 x + 2 + 4 = 3
2
3 x + 6 = 3
3
3 x = negative 3
4
x = negative 1
Answer:
1
Step-by-step explanation:
Answer:
3X + 6 = 3
Step-by-step explanation: