Answer:
[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]
Step-by-step explanation:
Original Question:
Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.Explanation:
Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]A square root function, that is stretched by a factor of 3, and shifted 4 units left and 6 units up.
Answer:
The square root function will turn to;
y = 3 √(x + 4) + 6
Step-by-step explanation:
Let the square root function be ;
y = √x
Now, let’s stretch this by a factor of 3
This means we are dilating by a factor of 3
Mathematically, this will be
y = 3 * √x = 3 √x
Shifting this 4 units up means that we are extending the x-axis value by 4 units
That will be ;
y = 3 √x + 4)
Now shifting this 6 units up, we finally will have;
y = 3 √(x + 4) + 6
The number of students enrolled at a college is 13,000 and grows 4% each year, what is the initial amount
Answer:
13,000
_____
4%
I'm sorry if this is incorrect
6143 × 45 work out
Answer: 276,435
Step-by-step explanation:
yes
18inch/4secs how far would the car travel in 1 second?
Answer:
4.5 inch per 1 sec
Step-by-step explanation:
18/4=4.5
Which of the following is the correct equation of the line that is parallel to y=−1x−5, and has a y-intercept at (0,1)?
y=−1x+0y is equal to negative 1 x plus 0
y=1x+5y is equal to 1 x plus 5
y=−1x+1y is equal to negative 1 x plus 1
y=5x−1
Answer:
The answer is option 3.
Step-by-step explanation:
When both lines are parallel, they will have the same gradient. In a linear equation, y = mx + b where m represents gradient and b is y-intercept :
Let m = -1, b = 1
y = -1x + 1
Answer:
the answer is option 3 like the first person said. no trollin
Step-by-step explanation:
Paige ran 3 miles on Monday, walked 8 miles Tuesday
and ran a combined 11 miles on Wednesday and
Thursday. How many total miles did Paige exercise in
four days?
Answer:
22
Step-by-step explanation:
add 11 + 8+ 3
The ratio of girls to boys in Liza's classroom is 5 to 4.
How many girls are in her classroom if there is a total of 27 students?
Hi!
The answer is: 15 girls.
__________________________________________________________
Let
x-----> the number of girls
y-----> the number of boys
we know that
- x+y=27, Which is equation A.
- x/y = 5/4
- isolate the variable y
- y=4/5x, Which is equation B.
- 9/5x=27
- x=5x27/9
- 15 Girls.
__________________________________________________________
Hope this helps!
The value of y varies directly with x. If x=6, then y=21
.
Find the value of x when y=70
Answer:
Direct proportionality
If the value of y varies directly with x, the value of x when y=70 is 20.
Given that, the value of y varies directly with x.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
We know that, the value of y varies directly with x
y ∝ x
⇒ y = kx
⇒ k = y/x
⇒ k = 21/6
⇒ k = 7/2
So, k = y/x
7/2 = 70/x
⇒ 1/2 = 10/x
⇒ x = 20
Therefore, if the value of y varies directly with x, the value of x when y=70 is 20.
To learn more about the proportional relationship visit:
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Equations and Inequalities One-Pager
Two more than a certain membership is 15 less than twice the number
i am just going to give points away pls give me brainlyest
Answer:
Okay will do!!
Step-by-step explanation:
Cole went to the store and bought pants and shirts. He bought a total of 12 items and paid $234. If Pants cost $22 and Shirts cost $16, how many of each did he buy?
Select two equations that could be used to determine the number of pants (p) and shirts (s) Cole purchased
Answer:
Cole bought 7 pants and 9 shirts.
Step-by-step explanation:
Let p represent the number of pants and s represent the number of shirts.
Then using the provided data two equations can be formed.
p + s = 12...(i)
22p + 16s = 234...(ii)
Solve (i) and (ii) simultaneously.
Multiply (i) by 16 and subtract the resultant equation from (ii) as follows:
16p + 16s = 192
-22p - 16s = -234
-6p = -42
p = 7
Substitute p = 7 in (i) and solve for s as follows:
p + s = 16
7 + s = 16
s = 9
Thus, Cole bought 7 pants and 9 shirts.
whats the answer to this?
Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation. Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.
Answer:
25
Step-by-step explanation:
The kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules
Calculating Kinetic energyFrom the question, we are to determine the kinetic energy of the ball
From the given equation for the velocity,
[tex]v = \sqrt{\frac{2K}{m} }[/tex]
We will make K the subject of the equation
[tex]v = \sqrt{\frac{2K}{m} }[/tex]
Take the squares of both sides
[tex]v^{2} ={\frac{2K}{m} }[/tex]
Multiply both sides by m
[tex]mv^{2} ={\frac{2K}{m} } \times m[/tex]
[tex]mv^{2} =2K[/tex]
∴ [tex]K = \frac{1}{2} mv^{2}[/tex]
Now, for the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second
That is,
m = 2 kg
and v = 5 m/s
Putting the parameters into the equation, we get
[tex]K = \frac{1}{2} \times 2 \times 5^{2}[/tex]
K = 25 J
Hence, the kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules
Learn more on Calculating kinetic energy here: https://brainly.com/question/25959744
Here is the complete question:
Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation.
[tex]v = \sqrt{\frac{2K}{m} }[/tex]
Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.
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HELP !
CLICK ON THE PHOTO FOR QUESTION. ALOT OF POINTS GIVEN AWAY!
Answer:I believe the answer is A.
Step-by-step explanation:
0.05 x 51.00 = 2.55
2.55 + 51.00= 53.55
Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 years.
Answer:
400 times 8%= 32 times 3=96
Step-by-step explanation:
Please hurry :) and if u don't know the answer please don't just put a random thing <3
Answer:
Wal-mart
Step-by-step explanation:
you only get a discount from National Tire and Battery after you purchase 4 tires, which is not as good a deal as Wal-mart's
Answer:
Wal-mart.
Step-by-step explanation
20% of 225 is 45, therefore we subtract 45 from 225 and get 180.
180x4=$720
$720 is the least amount of money spent on 4 tires :)
Plz help me with 6th grade math- I’m dumb
the domain _ is the set of inputs for a function
The triangles are similar. Find the value of x. Round to the nearest tenth.
Answer:
the value of x is 46 round to the nearst tenth thatll be 50
Step-by-step explanation:
If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?
Which table represents y as a function of x?
PLEASE HELP??
OR BRAINLIEST:((??
What is the area of the figure?
3 yd
6 yd
9 yd
Syd
Answer:
D) 48 yds^2
Step-by-step explanation:
A=(h(b)b)/2
Right side triangle equals 12
Left side triangle equals 9
A=wl
Rectangle equals 27
9+27+12=48
Find the value of x that makes m ∥ n.
Answer:
x=60
Step-by-step explanation:
X+2x=180degree because it is co interior angle
3x=180
X=180/3
X=60.
Verification
X+2x=180
60+2(60)=180
60+120=180
What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line
Alana biked 15 miles in 1 hour. How many miles did she bike in 3 hours?
Answer:
45 miles
Step-by-step explanation:
15 miles = 1 hour
15 x 3 = x
x = 45
45 miles = 3 hours
hey can you pls help!!!
Answer:
60/4 if i get right can i please get brainliest?
Answer:
60 miles/ 4 gallons
Step-by-step explanation:
60 divided by 4 is 15
Select the correct graph of ABC
Giving brainliest
Answer:
The answer is B
hope it helps
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
Find the Error A student graphs the relationship y = x on a coordinate plane. She says the slope is O because there is no coefficient. Find her
mistake and correct it.
Answer:
y=x times factor of 12 abstracted by -93
Step-by-step explanation:
The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.
What is the slope?A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
A linear equation or function is given as ;
y = mx + b
Now,
At x = 0 ⇒ y = b so it will be a y-intercept.
As per the given, y = x
The x's coefficient is 1 thus slope will be 1.
Or, y/x = 1
Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".
To learn more about slopes,
https://brainly.com/question/3605446
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