Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
A runner runs a distance of 300 metres in a time of 60 seconds.
What is his average speed?
Solve the equation -6 + 4a = 18 for a.
OA) 4
OB) 5
OC) 6
OD 9
Step-by-step explanation:
-6 + 4a = 18
4a= 24
a=6
!!!!!!!!!!!!
Answer:
OC) 6
Step-by-step explanation:
Transpose -6 to the other side
-6 + 4a = 18
4a = 18+6
4a = 24
a = 6
5338 wins in 34 years
Answer:
is that a question?????????????
Assume the matrix below is the augmented matrix corresponding to a system of equations with variables x, y, and z (in that order). What is the exact value of z? 11 1 13 0 1 1 12 0 0 1 11
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but a similar question is attached and solved.
An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:
[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]
z = -9
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
Which expression represents the product of (3x+5) with (2x-3)
Answer:
[tex]6x^2-x+15[/tex]
Step-by-step explanation:
(3x + 5)(2x - 3) = [tex]6x^2-9x+10x-15=6x^2+x-15[/tex]
2. Determine the sum of the measures of the interior angles of a dodecagon.
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Answer:
1800°
Step-by-step explanation:
The interior angles of a convex polygon with n sides have the sum ...
angle sum = (n -2)×180°
For the 12-sided dodecagon, the angle sum is ...
angle sum = (12 -2)×180° = 1800°
You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?
Answer:
$200 each.
Step-by-step explanation:
You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:
$600/3 persons = $200/person
Each person obtains $200.
~
Giải phương trình vi phân
a. dy/dx
b. y' + 2xy = 4x
Your first differential equation is incomplete, so I'll just look at the second one.
y' + 2xy = 4x
Multiply both sides by exp(x ²):
exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)
The left side is the derivative of a product:
(exp(x ²) y )' = 4x exp(x ²)
Integrate both sides:
exp(x ²) y = ∫ 4x exp(x ²) dx
For the integral, substitute u = x ² and du = 2x dx :
exp(x ²) y = 2 ∫ exp(u) du
Solve for y :
exp(x ²) y = 2 exp(u) + C
exp(x ²) y = 2 exp(x ²) + C
y = 2 + C exp(-x ²)
Do the following lengths form a right triangle?
Answer:
Yes, they do
Step-by-step explanation:
Because
6+8=14>9
6+9=15>8
8+9=17>6
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?
Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
________________
P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15
Find the slope of the line passing through these points (-3,4) and (4,1)
Answer:
-3/7
Step-by-step explanation:
To find the slope use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-4)/(4 - -3)
= (1-4)/(4+3)
= -3/7
Answer:
slope = - 3/7
step-by-step explanation:
we have two points which are (-3,4) and (4,1).
To find the slope of line , use the slope formula which is
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m = slope( y² - y¹ ) = ( 1-4 ) ( x² - x¹) = ( 4 - ( - 3 ) )substitute the values
m = ( 1 - 4 ) / ( 4 - ( - 3 ))
m = -3 / 7
Hence, slope is -3/7.
Please help!!
Will mark brainilest!!
Point of intersection is the solution of the system of equations.
Both of them intersect at point (-3,5)
So, (-3,5) is the solution of the system of equations.
OPTION B
Answer:
(-3,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect. They intersect at two points
(-3,5) and (1,-3)
The only solution listed as a choice is (-3,5)
Which conditional statement is represented by the Venn diagram below?
Quadrilateral
Square
A. If a shape is a square, then it is a quadrilateral.
B. If a shape is a square, then it is not a quadrilateral.
0
C. If a shape is a quadrilateral, then it is a square.
D. If a shape is a quadrilateral, then it is not a square.
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation:
solve 3p²+7pqr+2q²r²
Answer:
Step-by-step explanation:
Hope this helps !!
4x-5y<_1 isolated by y
Answer:
[tex]y \ge \frac{4x-1}{5}[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y \le 1[/tex]
Required
Solve for y
[tex]4x - 5y \le 1[/tex]
Subtract 4x from both sides
[tex]- 5y \le 1-4x[/tex]
Divide both sides by -5 (the inequality sign changes)
[tex]y \ge \frac{1- 4x}{-5}[/tex]
[tex]y \ge \frac{4x-1}{5}[/tex]
19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used
HELP PLS ASAP
Anna invested 2,500 at an annual rate 5%. How long will it take until anna earns 1,125 in interest
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Answer:
9 years
Step-by-step explanation:
The simple interest formula is ...
I = Prt
where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...
t = I/(Pr) = 1125/(2500×.05) = 1125/125
t = 9 . . . . years
It will take 9 years for Anna to earn 1125 in interest.
Leslie is a biologist. She’s going to randomly select one animal from her lab to study. There are five salamanders, three crayfish, and 12 minnows in her lab. What is P (salamander)?
A teacher offers 8 extra credit assignments.what is the domain of this graph
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF Y=
Answer: 8 is the value for y.
since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.
Which is true about the functional relationship shown in the graph
Answer:
Step-by-step explanation:
C
A spinner with 8 equally sized slices has 2 yellow slices, 3 blue slices, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice?
Answer:
5/8
Step-by-step explanation:
First, find how many slices are yellow or blue.
There are 2 yellow slices and 3 blue slices, so 5 of them are either yellow or blue.
There is a total of 8 slices.
So, the probability that it will stop on a yellow or blue slice is 5/8.
what are the prime factors of 7436439
Answer:
7, 11, 13, 17, 19 and 23
Step-by-step explanation:
Answer:
7,11,13,17,23
hope it helps
thank you
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
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Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
solve the differential equation: x(y^2 - 1)^1/2 dx-y(x^2-1)1/2 dy=0
Try this solution, note the answer is marked with green colour.
Based on the triangle given, determine the trig ratio of the cos 0
Answer:
cos theta = 4/5
Step-by-step explanation:
Since this is a right triangle
Cos theta = opp side/ hypotenuse
Cos theta = 8/10
cos theta = 4/5