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 science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
[tex]26M + 56D = 2278[/tex] ---- equation 1
[tex]M = 3D[/tex] ---- equation 2
A microscope costs S51 and a dissection kit costs S17
Step-by-step explanation:
Given
Represent microscope with M and Dissection kits with D
Cost:
[tex]M = 3D[/tex]
[tex]Total = 2278[/tex]
Required
Represent as an equation:
To do this, we represent the equation in terms of cost and quantity
In terms of cost, we have:
[tex]26M + 56D = 2278[/tex] ---- equation 1
and
[tex]M = 3D[/tex] ---- equation 2
Substitute 3D for M in equation 1
[tex]26*3D + 56D = 2278[/tex]
[tex]78D + 56D = 2278[/tex]
[tex]134D = 2278[/tex]
Divide both sides by 134
[tex]D = \frac{2278}{134}[/tex]
[tex]D = 17[/tex]
Substitute 17 for D in [tex]M = 3D[/tex]
[tex]M = 3 * 17[/tex]
[tex]M = 51[/tex]
Hence:
A microscope costs S51 and a dissection kit costs S17
⚠️⚠️I literally have almost a minute left please heLP I WANNA FINISH⚠️⚠️
8. You draw one card from a standard 52-card deck. In how many ways could the card be an even number or a queen?
Answer:
The card could have been 50% an even number and 25% for a queen
Step-by-step explanation:
The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?
f(x ) = x – |42.67|
f(x ) = |x| – 42.67
f(x ) = |42.67 – x|
f(x ) = 42.67 – |x|
Answer:
c
Step-by-step explanation:
The function that could represent this situation is f(x ) = |42.67 – x| (Option C).
What quality control?The process of quality control helps a producer to ensure that the correct standard is maintained in the production of goods. It involves the testing of products to ensure that they conform to specifications.
Now we are told that factory wants to ensure that the discrepancy in diameter is not more than 0.002 mm. Since the discrepancy could be above or below the given value then it follows that the function that could represent this situation is f(x ) = |42.67 – x| (Option C).
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PLS HELP ME :( i don’t understand this and i can’t afford to get anything wrong right now!!
Answer: Point A represents Q1, Point B represents the Median, Point C represents Q3
Step-by-step explanation:
what is (3x+2)(4x-5)
Answer:
12x^2 - 7x - 10
Simplify, or in other words...multiply them
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Answer:
-1.5x+9.5
Step-by-step explanation:
-1.5(1)+9.5=8
-1.5(2)+9.5=6.5
-1.5(3)+9.5=5
and so on....
An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?
Answer:
80 miles.
Step-by-step explanation:
If it is traveling at 320 miles per hour, and its asking how much its traveled in 15 minutes you do this:
Since 15 minutes is 1/4 of an hour, you take 1/4 of how fast they are traveling at mph, which in this case is 320 mph.
320/4=80
The airplane will travel 80 miles in 15 minutes.
What is Distance?The length along a line or line segment between two points on the line or line segment.
we need to use the formula of distance.
distance = speed × time
Since the speed of the airplane is 320 miles per hour, we need to convert 15 minutes to hours:
15 minutes = 15/60 = 0.25 hours
Now we can substitute the values into the formula:
distance = speed × time
distance = 320 × 0.25
distance = 80
Therefore, the airplane will travel 80 miles in 15 minutes.
To learn more on Distance click:
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Please answer FAST i need your help and when you put your answers put them like
1.
2.
3.
4.
5.
Step-by-step explanation:
3.5
1
-7.14
1
1/5
6.5
sorry if this and are wrong
Let's say you have 6 lbs of apples for $12.96. What is the unit price? (Meaning, what is the cost of 1 pound of apples?)
Answer:
$2.16 per pound
Step-by-step explanation:
First, you would need to divide the price by the amount
$12.96 / 6 lbs = $2.16 per pound
That is the unit price
find one arithmetic means between 2 and 32? step-by-step
Answer:
17
Step-by-step explanation:
An arithmetic mean is the average of the 2 given numbers, that is
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
Find m∠ABC.
24°
58°
19°
37°
Answer:
3x-14=2x+10
add 14 to both sides
3x-14+14=2x+10+14
3x=2x+24
subtract 2x from both sides
3x-2x=2x+24-2x
x=24
Plug x into the equations
3(24)-14=58
2(24)+10=58
they are the same angle
B=122
58-180=122
116-360=244
244/2=122
I hope this is good enough:
Answer:
X=24
Step-by-step:
3x-14=2x+10
add 14 to both sides
3x-14+14=2x+10+14
3x=2x+24
subtract 2x from both sides
3x-2x=2x+24-2x
=24 deg
how do i find my sister's math question she just posted how do i find it
Answer:
You can find it on her profile, in the questions section.
Step-by-step explanation:
Tap her profile picture, which will take you to her profile.
Tap the questions bar, which should lead you to all questions she has posted.
Lastly, tap the question you want! It should show you the date or time it was posted.
A brainiest is this doggo's bone!
8993.2x 10³ use the powers of ten rules please help iv been stuck on this
Answer:
I think the answer is 8993200
Step-by-step explanation:
i think its wrong but I try my best
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.
________ – 5xy3 + 9x2y
0
5xy3
9x2y
8y4
4xy3
Answer:
Yo The answer is A,C,E or 0, 9x2y, and 4xy3
Step-by-step explanation:
Got it right on Edge. Good luck
Answer: A, C, E
Step-by-step explanation:
You want to apply two coats of paint to walls that are 8 ft high in a room that is 7 11/12 feet wide and 9 5/6 feet long. One gallon of paint covers 350 square feet.
Answer:
Paint required will be 2.06gallons
Step-by-step explanation:
The given dimensions are
Height - 8ft
Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft
Length - 9. 83ft
To calculate the the amount of paint required to paint the walls we need to find the area of the walls
wall 1 = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]
wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]
The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]
ceiling area = 77.66[tex]ft^2[/tex]
total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]
One gallon of paint covers 350 [tex]ft^2[/tex] of area
so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint
also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP correct answers only
a. 3/40 teaspoon c. 1 teaspoon
b. 15/40 teaspoon d. 1 7/8 teaspoons
Answer:
D
Step-by-step explanation:
You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over
Hope i explained everything thoroughly!
1. What is the solution to the equation modeled below?
Answer:
3.67
Step-by-step explanation:
the equation is 3x + 5= 16
do 16 - 5 to get 11
next do 11 divided by 3 to get 3.67
hope this helps :)
this answer may be incorrect because the answer was really 3.66666666667
if there are 21 ladybugs how many bumblebees?
Answer:
I need the rest of the question to answer
The graph shows the savings in Andre’s bank account.
Answer:
As the number of week increases, the Andre's savings also increases
Step-by-step explanation:
Given
The attached graph
Required
Explain what the slope represents (Missing part of the question:)
First, we'll check the slope of the graph.
Represent time in weeks with x and savings in dollar with y
So, we have the following details:
[tex](x_1,y_1) = (0,40)[/tex]
[tex](x_2,y_2) = (8,80)[/tex]
Slope (m) is then calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{80 - 40}{8 - 0}[/tex]
[tex]m = \frac{40}{8}[/tex]
[tex]m = 5[/tex]
The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases
if AB || CD and AC = BD, is ACD = CAB?
7x-11>3
Solve and graph for X
Beep help please ASAP
m to the power of 4 =
when m is 2/3
plz help me
Answer:
WAIT I MESSED UP DONT ANSWER THAT
Step-by-step explanation:
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]I hope this helps!
Please help me!! Thank youu
Answer:
6.5x and 3.05x were adding incorrectly.
Step-by-step explanation:
The answer to adding those two numbers would be 9.55x
Answer:
error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x
How can you write 5+5+5 using a different math operation
Answer:
five plus five plus five
Step-by-step explanation:
This is in wording
Answer:
Lots of ways
Step-by-step explanation:
5x3
5(3)
5+5+5
10+5
What is x- value of point A
Answer:
5
Step-by-step explanation:
5x-6
3x +2
5yº
Only enter the number. What is the value of x?
Answer:
4
Step-by-step explanation:
What is the value of 4.76 0.015?
Answer:
3.645
Step-by-step explanation:
4.760-0.015=3.645
A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible
Answer:
c because an open doesnt mean its guaranteed but it starts at closed.
3x=10 how do you solve this, i hate math and dont know what to do. help?
Answer:
x = 10/3
Step-by-step explanation:
Okie so to solve a one variable equation, we have to isolate x. To do that, we have to divide both sides of the equation by 3 so we get x = 10/3.