Answer:
(1/2) * (2/3)^t
Step-by-step explanation:
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.
C(t)=
The water purifier will filter 1/3 of the current contaminants each hour.
1/3 ÷ 1/2
= 1/3 × 2/1
= 2/3
This means, it willreduce the contaminant into 2/3 of it current mass
To derive the equation,
Multiply the contaminant with 2/3 every hour
(1/2) * (2/3)^t
Where t = hours
What percent of 150 is 52.5?
O 0.35%
O 15%
0 28.6%
O 35%
Answer:
35%
Step-by-step explanation:
.0035*150= .525
.0015*150=.225
.286*150=42.9
.35*150=52.5
The requried percentage of 52.5 in 150 is given as 35%.
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
here,
According to the question,
requried percent of 52.5 in 150,
= value/ whole value × 100%
= 52.5/150 × 100%
= 35%
Thus, the requried percentage of 52.5 in 150 is given as 35%.
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which graph models the eqution 4x+2y=8
Answer:
A
Step-by-step explanation:
4x+2y=8
2y=-4x+8
y=-2x+4
sorry if this wasn't in time
Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction 5 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction
Given:
The expression is [tex]\dfrac{7}{\frac{5}{8}}[/tex].
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
We have,
[tex]\dfrac{7}{\frac{5}{8}}[/tex]
It can be written as
[tex]\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}[/tex]
Therefore, the correct option is D.
write each decimsl as a mixed number in its simplest form.
3.6 10.4 1.5 5.10
In order to release energy chemical bonds must be?
Answer:
You have to put energy into a molecule to break its chemical bonds. The amount needed is called the bond energy. After all, molecules don't spontaneously break
Step-by-step explanation:
What does X = ?
6 + 0.50x = 26
Answer: x=40
Step-by-step explanation:Let's solve your equation step-by-step.
6+0.5x=26
Step 1: Simplify both sides of the equation.
0.5x+6=26
Step 2: Subtract 6 from both sides.
0.5x+6−6=26−6
0.5x=20
Step 3: Divide both sides by 0.5.
0.5x
0.5
=
20
0.5
x=40
Answer:
x=40
-11 2/3 * (-4 1/5)=
Answer:
49Step-by-step explanation:
Simplify:
-11 2/3 * (-4 1/5)= 11 2/3 * 4 1/5 =35/3 * 21/5 = 35/5*21/3 =7*7 =49Which are examples of harmful mutations? Check all that apply.
one that causes a person to have a light patch of hair color
one that changes a mouse's eye shape but not its eyesight
O one that allows a moth to blend into its environment
one that reduces a bean plant's ability to make food
one that increases the plants susceptibility to disease
Answer:
2, 4, 5
Step-by-step explanation:
Answer:
2 4 5 or b d e
Step-by-step explanation:
Carmine buys 3 plates for $2 each. He also buys 10 bowls. Each bowl costs twice as much as each plate.
The store is having a sale that gives Carmine $3 off the total cost of the bowls.
Which numerical expression shows how much he spent?
(3 * $2) + (10 ($6 - $3)]
A
(3 * $2) + [(10 $6) - $3]
B
(3 x $10) + [(10 $4) - $3]
с
D
(3 * $2)+((10 $4) - $3]
Answer: c
Step-by-step explanation:
What is the final price of the four-night reservation
representing a better deal?
You are a travel agent. A customer requires a hotel
reservation for four nights. You are considering two
hotels. The first usually charges $168 per night, including
all taxes and fees, but will give a discount of $40 per
night. The second charges $185 per night, including all
taxes and fees, and will offer one night for free.
O $504
O $512
O $555
$580
O $672
Answer:
$512
Step-by-step explanation:
Charges at the first hotel are ...
4(168 -40) = 4(128) = 512
Charges at the second hotel are ...
(4-1)(185) = 3(185) = 555
The first hotel offers the better rate: $512 for four nights.
Suppose A and B are points. What is the maximum number of distinct lines that contain both A and B?
Answer:
Step-by-step explanation:
there would be one distinct line
Points and lines are both undefined terms of geometry.
The maximum number of distinct lines that contain both A and B is 1
From the question, we have:
[tex]Points = 2[/tex] --- i.e. A and B
For any given 2 points, only one line can run through the points. In other words, only one line can run through point A and point B
The line can:
Start from point A and end at point BStart from point B and end at point BRun through both pointsHence, the maximum number of distinct lines that contain both A and B is 1
See attachment for points A and B.
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Ashley purchased a prepaid phone card for S20. Long distance calls cost 16 cents a minute using this card, Ashley used her card only once to make a long
distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?
Answer: 27 minutes
Step-by-step explanation:
Subtract 20 from 15.68 then divide by .16 by the number your given.
What is the value of (-12) 3 - 15?
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
In a complete sentence, state the correct equation for the scenario.
Identify and define your variable. Then, using the correct vocabulary, and math
process, explain how to accurately solve the problem. Lastly, In a complete sentence
define your answer.
Answer:
Eric earnings equals $7
Step-by-step explanation:
Let amount earned by Robert = $10
Amount earned by Eric = $x
Robert earnings = 2x - 4
2x - 4 = 10
2x = 10 + 4
2x = 14
Divide both sides by 2
x = 14 / 2
= 7
x = 7
Eric earns $x which is equal to $7
Eric earnings equals $7
Which statement describes the transformation that would map figure QRST to figure Q'R'S'T' on the grid above?
(x,y) → (-x,y - 9) is the correct transformation for the given graph so option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the quadrilateral QRST not if we look at Q'R'S'T' it is 9 units downward so it means there will be 9 units decrement in y units.
So y → y - 9
Now,
Q'R'S'T' is as far from the x-axis as QRST but on the negative x-axis.
So,
x → -x
Hence "(x,y) → (-x,y - 9) is the correct transformation for the given graph".
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3x=6x+15-8x
i need this fast but i’m so bad at math online
Answer:
X = 3
Step-by-step explanation:
3x = -3x + 15
3x +2x = 15
5x = 15
x = 3
Answer:
The answer is 3 :)
Step-by-step explanation:
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength of red than violet?
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength of red than violet?
A
2.5 × 10–7 m
B
1.05 × 10–7 m
C
2.5 × 10–6 m
D
1.05 × 10–6 m
Answer:
A
Step-by-step explanation:
We can substract the wavength of the violet light to the wavelength of the red light:
(6.5 x 10^-7 m) - (4.0 x 10^-7 m) = 2.5 x 10^-7 m
Answer:
A) 2.5× 10–7 m
explanation:
I took the test
Which are vertical angles?
Step-by-step explanation:
AFE-BFD<---------------
Hello.
Vertical angles are two sets of angles congruent to each other, both on opposite sides, but measure the same.
In the diagram shown, both angles ∠BFC and ∠EFA are identical, it seems mirrored, thus they are vertical angles.
The correct answer is B.
- 10x - y = 27
- 4x - y = 9
Find the solution of the system equation.
Step-by-step explanation:
-10x - y = 27 ...1
-4x - y = 9 ...2
...1 - ...2
-10x -y - (-4x - y) = 27 - 9
-10x -y +4x + y = 18
-10x + 4x = 18
-6x = 18
x = 18/(-6)
= -3
Answer:
x = - 3, y = 3
Step-by-step explanation:
Given the 2 equations
- 10x - y = 27 → (1)
- 4x - y = 9 → (2)
Multiplying (1) by - 1 and adding to (2) eliminates the term in y
10x + y = - 27 → (3)
Add (2) and (3) term by term to eliminate y
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (2)
- 4(- 3) - y = 9
12 - y = 9 ( subtract 12 from both sides )
- y = - 3 ( multiply both sides by - 1 )
y = 3
Solution is x = - 3, y = 3
The statement "Angle 1 is congruent to angle 3" is justified by the ________. ?
Answer:
1
Step-by-step explanation:
that is a cute thing to be said that you know is the only way you could
∠1 is congruent to ∠3 because they alternate angles.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
∠1 and ∠3 are alternate angles.
∠2 and ∠4 are alternate angles.
∠1 and ∠2 are linear pairs.
∠4 and ∠3 are linear pairs.
Now,
∠1 and ∠3 are alternate angles.
Alternate angles are equal.
Thus,
∠1 and ∠3 are congruent angles.
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angle 1 and 5 are
A corresponding
B alternate interior
C alternate exterior
D Consecutive
Answer:corresponding
Step-by-step explanation:
2. Match the graph with its equation.
A. -6x -y= 12
B. 6x+2y=12
C.6x + 6y =12
D. -6x + 2y = 12
Option D is the correct answer
Answer:
It is option D. -6x + 2y = 12
Find the equation of the line that passes through the points (-4,3) and (10,5). Plug in your slope and y-intercept, or your values for a and b into the equation below (if your answers are not whole numbers leave them as fractions!).
y =_____x+______
Answer:
y = 1/7x + 25/7
Step-by-step explanation:
Find the slope using the formula [ y2-y1/x2-x1 ]
5-3/10-(-4)
2/14
1/7
Find the y-intercept using slope-intercept form [ y = mx + b ], the slope, and one of the points given.
y = 1/7x + b
3 = 1/7(-4) + b
3 = -4/7 + b
3 4/7 = b
Put everything we solved for back into the formula.
y = 1/7x + 25/7
Best of Luck!
Find the unit rate
93 push-ups in 3 days = push-ups per day
Answer: 31 push-ups per day
Step-by-step explanation: 93/3 = 31 because 90/3=30 and 3/3 = 1 so 30 + 1 = 31.
Hope this helps!
i cant think rn please help :/
Answer:
the thing i cant see it
Step-by-step explanation:
Answer:
Julie will reach her goal first. i dont know how to explain it but you could probably figure that out
Find the slope of (1,8) and (3, 12)
Answer: 4/2
Step-by-step explanation:
subtract 12-8 , it would be 4
then 3-1 , it would be 2
The slope of (1,8) and (3,12) is 2 and this can be determined by using two-point slope formula and also using the given data.
Given :
Points -- (1,8) and (3,12)
The following steps can be used in order to determine the slope of (1,8) and (3,12):
Step 1 - The two-point slope formula can be used in order to determine the slope of (1,8) and (3,12).
Step 2 - The two-point slope formula is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 3 - Now, substitute the values of the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above formula.
[tex]\rm m =\dfrac{12-8}{3-1}[/tex]
m = 2
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1. Jasmine drives every morning to her office that is 12 miles from her home
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
PLZZZZZZZZZZZZZZZZ HELP QUICK PLZ
2.Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office
3.Jasmine drives every morning to her office that is 12 miles from her home.
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation.
4.Jasmine drives every morning to her office that is 12 miles from her home.
* What is Jasmine's driving speed in mph?
Solve the equation you created in part (c) to answer the question.
Answer:
1. Her time in minutes is 720/s minutes
2. Given her time to be 20 minutes, her speed is 36 mph
Step-by-step explanation:
Mathematically,
Distance = speed * time
In this question, we want to calculate time;
So time = distance/speed
times = 12 miles/s mph = 12/s hours
Now we want our answer in minutes
Kindly recall that 60 minutes = 1 hour
So 12/s hours will be 12/s * 60 = 720/s minutes
2. Since she drives from home to the office in in 20 minutes, we want to calculate her speed in mph
From the time calculated above i.e 720/s
We can equate 20 = 720/s
20s = 720
s = 720/20
s = 36 mph
If you are 14 years old now, which equation could be used to solve for your age, , 22 years from now?
Answer:
14 + 22 = 36
Step-by-step explanation:
well last time i checked the answer is pretty clear
ortal Login n NoRedink L Amiya Nunn Obi
21 8th Grade Q1 Final Assessment
destion 1
Pause
QZc
Answer:
ask a tutor , they are available
Darnel decided to make his grandmother's favorite pound cake. In the recipe, it calls for 2 cups of sugar but Darnel added 3 cups of sugar. What is the percent error?
Answer:
66.67%
Step-by-step explanation:
Percent Error Formula =
| Approximate value - Exact value|/Exact value × 100%
| 2 - 3|/3 × 100%
1/3 × 100%
= 66.67%
The percent Error is 66.67 %