The answer is 50 percent
As per the given data, the constant of proportionality increased by 50%.
What is constant of proportionality?Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.
To solve this problem, we need to compare the proportion of defective batteries in week 1 and week 2. Let's start by finding the proportion of defective batteries in week 1:
For the first test: 4/160 = 0.025
For the second test: 15/600 = 0.025
So in week 1, the proportion of defective batteries was 0.025.
Now let's find the proportion of defective batteries in week 2:
18/480 = 0.0375
The proportion of defective batteries in week 2 is 0.0375.
To find the percent increase in the constant of proportionality, we need to compare the two proportions:
(0.0375 - 0.025)/0.025 x 100% = 50%
Thus, the constant of proportionality increased by 50%.
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Last year, Chang opened an investment account with S8500. At the end of the year, the amount in the account had decreased by 6.8% How much is this
decrease in dollars? How much money was in his account at the end of last year?
Decrease in amount:
Year-end amount:
Answer:
Decrease in amount= $578
Year-end amount= $7,922
Step-by-step explanation:
0.068=x/8500
Isolate x to multiply 0.068 by 8500= 578 which is the decrease in dollars.
so, 8500-578= $7,922 is how much money was in his account at the end of last year.
Decrease in amount: $578
Year-end amount: $7922
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Last year, Chang opened an investment account with, $8500.
At the end of the year, the amount in the account had decreased by 6.8%
To find the decrease in amount;
6.8% of $8500
= 8500 x 6.8 / 100
= 57800/100
= $578
At the end of the last year, amount,
$8500 - $578
= $7922
Therefore, the required amounts are $578 and $7922.
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Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and inequality to find numbers of cams the school can collect on each of the final 7 days of the drive to meet this goal
Answer:
The answer is "[tex]\bold{668 + 7x > 2,000}[/tex]"
Step-by-step explanation:
7x = x is the cans obtained within 7 days 668 is the number of cans that are already obtained. Its number for goal cans is 2000. So, the equation is:
[tex]\to 7 x + 668 < 2000[/tex]
subtract and add the value 668:
[tex]- 668 \ \ \ \ \ -668[/tex]
[tex]\to 7x +0 < 1332[/tex]
Divide the value 7:
[tex]7 \ \ \ \ \ \ 7[/tex]
[tex]\to x < 190.30 \\\\OR\\\\\to x < 190\\\\[/tex]
5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it
Answer:
11
Step-by-step explanation:
55/5 equals 11
Answer:
11
Step-by-step explanation:
55 divided by 5 equals 11
Find an explicit formula for the geometric sequence 96, 24, 6, 1.5, ....
Note: the first term should be b(1).
b(n)=
Answer: 96•(1/4)^n-1
Step-by-step explanation:
A can contains 414 mL of chicken broth. Rick poured 4 cans of broth into a pot for a soup recipe. How many liters of broth did Rick pour in the soup? 16.56 L 4.14 L 1.656 L 0.1656 L
Answer:
Amount of chicken broth used = 1.656 L
Step-by-step explanation:
Given:
Amount of chicken broth in 1 can = 414 ml
Number of can Rick use = 4 cans
Find:
Amount of chicken broth used
Computation:
Amount of chicken broth used = Amount of chicken broth in 1 can x Number of can Rick use
Amount of chicken broth used = 414 x 4
Amount of chicken broth used = 1,656 ml
Amount of chicken broth used = 1.656 L
The length of a rectangle is 15 less than three times the width. The perimeter of the rectangle is 178 centimeters. What is the length of the rectangle?
Answer:
40.5in
Step-by-step explanation:
Given data
Let the width be x
L= 3x-15
Perimeter= 178cm
We know that
P=2L+2W
substitute
178= 2(3x-15)+2x
open bracket
178=6x-30+2x
collect like terms
178=8x-30
178-30= 8x
148= 8x
divide both sides by 8
x= 148/8
x=18.5 in
but L= 3x-15
L= 3*18.5-15
L=55.5-15
L=40.5 in
Hence the length is 40.5in
12.009 × 4.1= ?
can you anwser it proplerly
Answer:
49.2369
Step-by-step explanation:
Ignore the decimals for now and multiply it. Once you get the answers, push the decimal back four times since there are four numbers in the decimal part.
Is this table linear
Answer:
yesZ?
Step-by-step explanation:
Answer: Yes the table above is indeed linear
Step-by-step explanation:
Just trust
9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function in the table.
A. f(x) = 4x
B. f(x) = 4 – x
C. f(x) = x – 4
D. f(x) = x + 4
How do I round my answer to both a and b?
Answer:
A. 568 B. 266
Step-by-step explanation:
A. 568 because that is the nearest foot. If the tenths place was 5 or more you would round to 569.
B. im not sure which number was b, im assuming its 266. Yoh can just levae it as is.
Off topic; nice handwriting
does anyone have a private server on royal high I need the new set pls
Answer:
Nope but I hope you find one soon. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
I do!! My user is; AngelCookiesSmiles. c:
Step-by-step explanation:
Given the folk functions f(x) and g(x) solve (f+g)(5) and select the correct answer below:
f(x) 8x-13
g(x)=x-9
A.)27
B.)23
C.)31
D.)40
Josh attempted 56 free throws during the basketball season. He made 5/7 of them.
Use multiplication to find out how many free throws Josh missed.
Answer:
He made about 32 free throws which means he missed 24
Step-by-step explanation:
Answer: 16 shots missed
Step-by-step explanation:
Multiply 56 x 5/7 to get 40
40 is how many he made so just subtract 40 from 56
56 - 40 = 16
☆º°˚*☆ Have a ηice day ☆º°˚*☆
When looking at a graph where do you find the roots of an equation?
Answer:
The points at which the graph crosses or touches x- axis, give the real roots of the function (or zeros of the function) represented by the graph. If the graph touches x-axis and turns back, then it would be a double root at that point.
Step-by-step explanation:
I HOPE THIS HELPS* :)
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters? ASAP thanks.
The Surface area of the pyramid is 68 square cm
The total surface area of the pyramidThe total surface area is the area of all the triangles
Area of a triangle = 0.5bh
b is the base
h is the height
Given te followin
b = 6cm
h = 5.2cm
Surface area of the pyramid = 5(0.5 * 6 * 5.2)
Surface area of the pyramid = 78 square cm
Hence the Surface area of the pyramid is 68 square cm
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Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form
Answer:
y = 1.5x + (-3)
Step-by-step explanation:
y = mx + b
y = 1.5x + (-3)
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Answer:
Step-by-step explanation:
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Please show your work.
x=6.928 if rounded to the nearest thousandth
I posted a picture of my work to find this answer
Hope this Helped
3 divided by 8. What is the dividend?
Answer:0.375
Step-by-step explanation:
What is the dividend? the question
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an exponential function to model this situation. Then find the population after 7 years.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
First, to calculate the future value, we need to use the following decrease exponential formula:
FV= PV*[(1+d)^-n]
After 7 years:
FV= 48,000*(1.07^-7)
FV= 29,892
The fish population after 7 years is 38783
An exponential decay is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is < 1
Let y represent the fish population after x years.
Since there is initially 48000 fish, hence a = 48000. Also it decrease at a rate of 3% per year. Hence b = 100% - 3% = 97% = 0.97
Therefore:
y = 48000(0.97)ˣ
After 7 years:
y = 48000(0.97)⁷ = 38783
Therefore the fish population after 7 years is 38783
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Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month
Answer:
21 ounces
Step-by-step explanation:
2 pounds→ convert to ounces= 32
32 ounces+ 3 ounces= 35
56 ounces-35 ounces= 21 ounces
Answer:
21 ounces
Step-by-step explanation:
1 pound=16 ounces
16 x 2=32
32+3=35
56-35=21
A.
18 cm
B.
40 cm
C.
20 cm
D.
36 cm
Answer:
C
Step-by-step explanation:
108/(108-72) = 108/36 = 3
60/3 = 20
Can someone plz help me ?
Answer:
Slope: −10
y-intercept: (0,60)
Equation: y = −10x + 60
Step-by-step explanation:
Find the equation using point-slope formula.
Use the slope-intercept form to find the slope and y-intercept.
Write an equation of the line with a slope of 23and y-intercept of −8.
y=
Answer:
y=23x-8
Step-by-step explanation:
Use the formula y=mx+b
y-intercept is b which is -8
the slope is m which is in this case 23
Easy peasy!
When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
Answer:
e
Step-by-step explanation:
When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
Hold on, our servers are swamped. Wait for your answer to fully load.
PLEASE I NEED HELP ASAP!!!!
I will give brianliest if you have explanation and workings!!
Answer:
6.85
Step-by-step explanation:
a^2+3.4^2=7.65^2
a^2=46.96
a=6.85
I used Pythagorean theorem, I hope I am right
Ten years ago, Victor's age was half of the age he will be in 10 years. How old is he
now?
Answer:
It's the same
Step-by-step explanation:
Cause im smart
Present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
What is equation?" Equation is defined as the relation between the variables and numbers using the sign of equality."
According to the question,
[tex]'x'[/tex] represents the present age of the Victor
[tex]'x+10'[/tex] represents the age of the Victor 10 years now
[tex]'x-10'[/tex] represents the age of the Victor 10 years ago
As per condition given equation we get,
[tex]x-10 = \frac{1}{2} (x+10)[/tex]
Simplify the equation to get the present age ,
[tex]2(x-10) = x+10\\ \\\implies 2x-20 = x+10\\\\\implies 2x-x = 20 +10\\\\\implies x =30[/tex]
Hence, present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
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help please !! solve for x
Answer:
The value of x=4.5
Step-by-step explanation:
4.5+x=9
or, x=9-4.5
or, x=4.5
Identify the area of the polygon that has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Answer:
22.5
Step-by-step explanation:
The area of the polygon ABCD is 3/2 square units.
What is polygon?"It is two dimensional geometric figure having finite sides and vertices." A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
we know that,
formula to find the area of the polygon:
"If polygon having vertices (x1, y1), ....(xn,yn) then the area of the polygon is,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (xny1 - ynx1)
This formula is also known as shoelace formula."
For given example,
the polygon has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Consider given vertices of polygon as,
(x1, y1) = (−3,1)
(x2, y2)=(−5,−4)
(x3, y3)=(−8,1)
(x4, y4)=(−4,5)
Using the formula of area of the polygon the area of the polygon ABCD would be,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (x4y1 - y4x1)
so, solving we get,
A = 1/2 | 17 + 27 - 36 -11|
A = 3/2
Therefore, the area of the polygon ABCD is 3/2 square units.
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Tom needs 2 tablespoons of cleaning product for every 5 quarts of water. How many tablespoons of cleaning product would he need for 4 quarts of water?
Answer:
The answer is 256 :)
Step-by-step explanation:
You multiply the volume by 64