The population of a small town is changing at a rate of —255 people per year. How long will it take for the change in population to be —2,040 people?
Answer:
Solution in photo
Step-by-step explanation:
The half-life of carbon 14 is 5, 730 years. How much would be left of an original 50-
gram sample after 2, 292 years?
Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50- gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
[tex][A] = [A_o]e^{-kt}[/tex] ...1)
Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.
And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]
Putting value of half time in above equation, we get :
[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]
Putting value of k in equation 1) , we get :
[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]
Hence, this is the required solution.
Answer: i have zero clue lol
ABCD is a rectangle. What is the value of x? А 56 m 65 m A. 9 meters B. 28 meters C. 33 meters D. 65 meters
1 is 25, percent of what number
Answer:
Step-by-step explanation:
0.25
Answer:4
Step-by-step explanation:
Plz help me with this
9514 1404 393
Answer:
growth2.3%Step-by-step explanation:
The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.
When x increases by 1, the multiplier of 800 increases by ...
1.00575^4 ≈ 1.023199 = 1 + 2.3199%
Rounded to the nearest tenth percent, this is a 2.3% growth rate.
_____
Additional comment
The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.
I don't understand, help.
9514 1404 393
Answer:
x = 20°y = 70°Step-by-step explanation:
The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...
x + x = 40°
x = 20°.
x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.
y = 90° -x = 90° -20°
y = 70°
_____
Additional comments
The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...
x° +x°+140° = 180°
2x° = 180° -140° = 40°
That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.
can i please get some help on this?
Answer:
Bro? wheres the question ?
The distance between two cities is 325 miles.
If the scale on a map reads 1 inch = 50 miles,
what is the distance between the two cities
on the map?
-4(-6 + 2) =
A)-16
B)-32
C)-8
D)16
Step-by-step explanation:
[tex] - 4( - 6 + 2) [/tex]
[tex] - 4( - 4) = + 16[/tex]
Answer: A)-16
Step-by-step explanation:
Mary pays $72 for sand. If the cost per pound is $0.45, how many pounds did she purchase?
Answer:
Mary purchased 160 pounds of sand
Step-by-step explanation:
$72÷$0.45=160
Make this brainiest if you felt this helped you the most have an awesome day or night!
13 - 0.69 = 0.05
Please help
3(8 - x) = 7x - 6
I need help
x = 3
I solved for x cause I wasn't exactly sure what you wanted.
What is 6.5 divided by 2.6 Equivalent Expression
Answer:
650÷26 I think hope this help
What is the domain of f?
Answer:
See below.
Step-by-step explanation:
The domain is the x values involved in the equation/graph. The lines seemingly goes from -5 to 6. The x values between those points also count since there is a line. Therefore, the domain of f is [-5, 6]. The brackets are used since the dots on -5 and 6 are shaded in meaning they also count for the domain.
Interval Notation: [-5, 6]
Inequality Notation: -5 ≤ x ≤ 6
i need help! can you also explain it?
Answer:
Number B
Step-by-step explanation:
PLZ PLZ PLZ HELP MEEEE
Answer:
open comment
please mark me brilliant
Find the slope of the line -x = -3y + 9
Answer:
m= 1/3
Step-by-step explanation:
can Someone help me with this math problem
During the summer, the height of the water in a pond decreases by 2 inches per day due to evaporation. What is the change in the height of the water after 12 days?
Answer:
24 inches
Step-by-step explanation:
2 x 12 = 24
what is the answer for y=−16x^2 +119x +73
Answer:
Im pretty sure the answer is y=375x+73
Im not really sure
The height of a triangle is 6 units less than twice the base length if the height is 18 units, what is the base length
Answer:
12 units
Step-by-step explanation:
h=2x-6
18=2x-6
24=2x
12=x
y=3x−7 Complete the missing value in the solution to the equation. (1,_)
Answer:
y= -4
Step-by-step explanation:
Since x=1, then you would plug in 1 for x. 3 times 1 is 3, then you subtract 7 to get -4.
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes
HELP PlZ DUE in 30 MIN
m∠6 =
Answer:
Angle 6 is 47°
Step-by-step explanation:
Write the equation of the line based on the graph below
Answer:
The answer is
[tex]y = 2x + 4[/tex]
Step-by-step explanation:
Remember ↷
[tex]Slope = \frac{rise}{run} [/tex]
Determine whether the relation is a function. Explain. {(3, 9), (4, 8), (–7, 4), (0, 4), (2, 4), (3, 5), (–3, 8)} a. Yes, each x-value is paired with exactly one y-value. b. No, there is a y-value paired with more than one x-value. c. No, there are no negative y-values. d. No, there is an x-value paired with more than one y-value.
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
14 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route.
Answer:
29568
Step-by-step explanation:
Given that:
Length of road = 2 miles
Number of people who can fit in a area of 5 feet by 5 feet = 14
To find:
Number of people that can fit in the road of the given dimensions.
Solution:
Given that one side 2 miles wide and 5 feet deep.
First of all, we need to find number of 5 feet by 5 feet block that can be made in the given dimensions.
2 miles = 10560 feet
Number of blocks = [tex]\frac{10560}{5}[/tex] = 2112
Number of persons that can fit in one block = 14
Number of persons that can fit in 2112 blocks = 14 [tex]\times[/tex] 2112 = 29568
Therefore, the answer is: 29568
A circle has a diameter with endpoints
C(20, -21) and D(-20, 21). Determine the equation of the circle.
Answer:
x² + y² = 841
Step-by-step explanation:
Midpoint of diameter is a center of a circle.
Coordinates of midpoint are
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
d = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex]
Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²
~~~~~~~~~~
C(20, 21)
D(- 20, 21)
( [tex]\frac{-20+20}{2}[/tex] , [tex]\frac{-21+21}{2}[/tex] ) = (0, 0)
d = [tex]\sqrt{(-20-20)^2 +(21+21)^2}[/tex] = √3364 = 58
r = [tex]\frac{d}{2}[/tex] = 29
x² + y² = 29²
x² + y² = 841