The wheel will travel 131.8cm in 3 rotations.
The radius of the wheel, r = 7cm
Number of rotations, n= 3
distance covered in 1 rotation= circumference of circle=2πr
distance covered in 3 rotation= 2πr x 3
where π=3.14(fixed)
=2 x 3.14 x 7 x 3
Distance=131.88cm
Therefore, the distance covered in 3 rotations is 131.88cm
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Answer:
132cm
Step-by-step explanation:
use formula 22/7 *diameter which is 7*2 getting the answer as 44.For three rotations multiply the answer by three
2x + 2y = -10
What is the slope and y intercept?
Answer:
Slope: -1; y-intercept: -5
Step-by-step explanation:
Given:
2x + 2y = -10
Question:
What is the slope and y intercept?
Work:
The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.
2x + 2y = -10 (We need to get 2x on the other side so lets subtract 2x on both sides since subtraction is the inverse of addition)2y = -2x - 10 2y = -2x - 10 (We are almost done. Now, all we need to do is get rid of the 2 that is the coefficient of the variable "y" and we are done.)y = -x - 5y = -x - 5 (The y-intercept is -5 and the slope is -1)Answer: Slope = -1; y-intercept = -5Hope this helped! :D
xy^4 Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
A positive second derivative means that the solution curve is concave up. Therefore, all solution curves for the given differential equation in Quadrant II are concave up.
How to determine the concavity?(b) To find the second derivative of y with respect to x, we can use the chain rule. Since y is a function of x, we have [tex]dy/dx = f(x) and d^2y/dx^2 = d/dx(dy/dx) = d/dx(f(x)) = f'(x).[/tex]
To find f'(x), we can use the product rule and the given differential equation:
[tex]f'(x) = d/dx(xy^4) = y^4 + xy^4dy/dx = y^4 + xy^4f(x)[/tex]
Now, to determine the concavity of the solution curves, we need to find the sign of f'(x).
In Quadrant II, x and y are both positive, so [tex]x*y^4[/tex] is positive. Therefore, f'(x) is positive as well.
A positive second derivative means that the solution curve is concave up. Therefore, all solution curves for the given differential equation in Quadrant II are concave up.
(c) To find a particular solution to the differential equation with the given initial condition, we can use separation of variables.
The equation can be rewritten as [tex]dy/y^4 = x dx[/tex]
Integrating both sides gives:
[tex]\int\limits^ {} \,dy/y^4 = \int\limits^ {} \, dx* dx\\-1/y^3 = (x^2)/2 + C\\y^3 = -1/(x^2/2 + C)\\y = (-1/(x^2/2 + C))^(1/3)[/tex]
Using the initial condition f(4) = -1, we can find the value of C:
[tex](-1) = (-1/(4^2/2 + C))^(1/3)\\(-1)^3 = -1/(4^2/2 + C)\\-1 = -1/(16/2 + C)\\C = 15/2[/tex]
So the particular solution is:
[tex]y = (-1/(x^2/2 + 15/2))^(1/3)[/tex]
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Complete question is: Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
What happens to the signs when you reflect a point across both axes?
when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).
Reflect a point
A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.
coordinates
it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.
image of point
The image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.
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Shelby is creating a budget for the week. At her job, she earns $15. 50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?
PLEASEEE ANSWERR LOL
The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.
Given that,
Rent = 300 dollars
Shelby wants to have at least $280 left over after paying rent.
The total earnings of Shelby calculated in a week are given as, 15.5 h
where,
h is the number of hours
To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,
15.5 h - 300
And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,
15.5 h - 300 ≥ 280
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On a negatively skewed curve, which is true?a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.
A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.
In a negatively skewed distribution:
A. the median is larger than the mode.
B. the mean is larger than the mode.
C. the mode is larger than the mean.
D. the mean is larger than the median.
Negatively Skewed Distribution:
left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.
The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.
When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.
To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.
The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution
The distribution is negatively skewed if the mean is lesser than the median and the median is lesser than the mode.
The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.
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Solve for x in this triangle. Round your answer to the nearest tenth. 15 42° X
Answer:
x ≈ 47.0°
Step-by-step explanation:
using the cosine ratio in the right triangle.
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{22}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{15}{22}[/tex] ) ≈ 47.0° ( to the nearest tenth )
2x + 4y = -16
solve for y
Answer: y = -1/2x -4
Step-by-step explanation:
To solve for y, subtract 2x on both sides
2x-2x + 4y = -16 - 2x
Simplify
4y = -16 - 2x
Divide by 4 on both sides to get y by itself
4y/4 = -16 - 2x/4
Simplify
y = -4 - 1/2x
Switch the right-side terms to write them in slope-intercept form
y = -1/2x -4
1/4 + 3/8 (i would love a explanation)
Find the distance between the two points rounding to the nearest
(if necessary)
tenth
(1, -6) and (-8, -4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-8 - 1~~)^2 + (~~-4 - (-6)~~)^2} \implies d=\sqrt{(-8 -1)^2 + (-4 +6)^2} \\\\\\ d=\sqrt{( -9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }\implies d\approx 9.22[/tex]
Can u help me with this
Answer:
D) (6.6, 7.4)
Step-by-step explanation:
Begin by finding the margin of error based on the given information.
[tex]\boxed{\begin{minipage}{7.3cm}\underline{Margin of Error formula}\\\\$\textsf{Margin of Error}= Z \times \dfrac{S}{\sqrt{n}}$\\\\where:\\\phantom{ww} $\bullet$ $Z =$ $Z$ score\\\phantom{ww} $\bullet$ $S =$ Standard Deviation of a population\\\phantom{ww} $\bullet$ $n =$ Sample Size\\\end{minipage}}[/tex]
Given:
S = 1.3n = 50The z-score for 95% confidence level is 1.96.
Therefore, to find the margin of error, substitute the values into the formula:
[tex]\implies \textsf{Margin of Error}= 1.96 \times \dfrac{1.3}{\sqrt{50}}[/tex]
[tex]\implies \textsf{Margin of Error}=0.360341...[/tex]
To find a reasonable range for the true mean number of hours a teenage spend on their phone, subtract and add the margin of error to the given mean of 7 hours:
[tex]\begin{aligned}\implies \textsf{Lower bound}&=7-0.360341...\\&=6.63965...\\&=6.6\;\; \sf (1\;d.p.)\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Upper bound}&=7+0.360341...\\&=7.360341...\\&=7.4\;\; \sf (1\;d.p.)\end{aligned}[/tex]
Therefore, the reasonable range for the true mean is:
(6.6, 7.4)Tree+snowman+tree=17
Answer:
tree = 8
snowman = 1
deer = 4
snowflake = 4
Step-by-step explanation:
say t = tree, s = snowman, d = deer, f = snowflake
1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.
2. Now, find the value of the snowman using the value of the deer.
4-3 = 1. This means the value of the snowman = 1.
3. Plug in the value of the snowman into 2t + s = 17.
2t + 1 = 17
Subtract on both sides to get 2t by itself and then simplify
2t = 17 -1 --> 2t = 16
Divide by 2 on both sides to find the value of the tree
2t/2 = 16/2 --> t = 8
A 64 acre coconut farm is arranged in an 8 by 8 array. Mika wants to know the average number of coconut palms on each acre of land. The number in each cell tells how many coconut palms grow on that particular acre
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
Specify median.The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 48 + 38 + 47 + 48+ 43+ 34+ 64+ 54 + 53+ 67 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The solution of the given problem of median comes out to be
option (A) 44.3.
What is median?
The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 34 + 51 + 43 + 35 + 52 + 35 + 62 + 38 + 34 + 59 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The complete question is:
A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.
45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45
The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is
A. 44.3
B. 49.3
what is f for 1/8f = 3
Answer:
F = 24
Step-by-step explanation:
simplify 1/8
(1/8 x F) - 3 = 0
3 = 3/1 = 3 x 8/ 8
F x (3 x 8) / 8 F - 24/ 8
F - 24/ 8 = 0
F - 24/ 8 = 0 x 8
Answer:
24
Step-by-step explanation:
You want to know f for 1/8f = 3.
UndoMultiply the given equation by 8 to undo the multiplication by 1/8:
8(1/8f) = 8(3)
f = 24 . . . . . . . . simplify
The value of f is 24.
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Coroline runs 3 1/2 miles in 22 1/4 minutes how many miles does she run per minute
Answer:
To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.
3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.
22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.
To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:
23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours
To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:
(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46
Simplifying, we have:
420/46 = 9 1/23
Therefore, Coroline runs approximately 9 1/23 miles per minute.
Step-by-step explanation:
Answer:
she runs 0.078 miles per minute.
Step-by-step explanation:
A population of 210,000 people is increasing by 15% each year. How much will the population be in 5 years?
According to the compound interest formula, the population is 5 years is 422,385.
The term compound interest in math is defined as the interest calculated on the principal and the interest accumulated over the previous period.
Here we have given that the population of 210,000 people is increasing by 15% each year.
And then while looking into the given question, we have identified that the value of
interest rate = 15%
principal count = 210,000
time period = 5
Here we have to convert R as a percent to r as a decimal, then we get
=> r = R/100
=> r = 15/100
=> r = 0.15 rate per year,
Now, we have to solve the equation for A
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Apply the values on it , then we get,
[tex]A = 210,000.00(1 + \frac{0.15}{1} )^{(1)(5)}[/tex]
When we simplify this one then we get
[tex]A = 210,000.00(1 + 0.15)^5[/tex]
Therefore, the value of A is 422,385.
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An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.
Speed of the given object in centimeters per hour
= 0.23 cm / hour
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Like 1 yard = 91.44 cm
1 month = 730 hrs.
Given,
Distance covered by the object = 11 yards
Distance covered in cm = 11 × 91.44 = 1005.84 cm
Time taken to cover 11 yards = 6 months
Time taken in hours = 6 × 730 = 4380 hrs.
Speed of the object = distance covered by the object / Time taken
Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour
Hence, in centimeters per hour,
the speed of the object is 0.23 cm / hour.
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Is there an AAA similarity?
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".
A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.
Conditions for Triangle Similarity
If the corresponding angles of two triangles are identical, they are said to be comparable triangles.
If their respective sides have the same proportion/ratio.
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A pound of strawberries costs $3.28 and a pound of apples costs $4.63. What is the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples
The combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is $8.778.
What is called a pound?The Latin word "poundus," which means "weight," is whence its name originates.
Any of the many weight and mass units. especially: a measurement that is commonly used by English-speaking peoples and equals 16 ounces (about 0.454 kilograms) see measurement. the United Kingdom's fundamental monetary unit. known also as the pound sterling.
Given that A pound of strawberries costs $3.28
and a pound of apples costs $4.63
So the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is
cost = $3.28(0.7) + $1.4(4.63)
cost = $2.296 + $6.482
cost = $8.778
Therefore, the answer is $8.778.
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Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).
Select one:
a.
2x + y - 3 = 0
b.
- 2x + 3y - 6 = 0
c.
x + y - 2 = 0
d.
2x + 3y + 6 = 0
Answer:
Option b. -2x + 3y - 6 = 0
Step-by-step explanation:
Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate the slope first. Slope is the Rise/Run of any two points on a straight line. Using the given points, (0,2) and (3,4) we find:
Rise = 4 - 2 = 2
Run = 3 - 0 = 3
Slope, m, Rise/Run = (2/3)
The equation becomes y = (2/3)x + b
To find b, enter either of the two given points.
y = (2/3)x + b
2 = (2/3)(0) + b : for point (0,2)
b = 2
The equation becomes: y = (2/3)x + 2
Reformat this to match the format of the answer options.
y = (2/3)x + 2
3y = 2x + 6 [Multiplied by 3]
3y - 2x - 6 = 0
-2x + 3y - 6 = 0 [rearrange]
This matches option b.
Please hurry its timed
By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)
How to determine the solutions of a trigonometric equation
In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:
tan x - √(1 - 2 · tan² x) = 0
Second, use algebra and root properties:
tan x = √(1 - 2 · tan² x)
tan² x = 1 - 2 · tan² x
3 · tan² x = 1
Third, clear x by algebra properties and inverse trigonometric properties:
tan² x = 1 / 3
tan x = √(1 / 3)
tan x = 1 / √3
tan x = √3 / 3
x = tan⁻¹ (√3 / 3)
x = 30° or x = 210°
Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:
x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.
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Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake
Answer: 7 hours
Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.
6
2/3
15
13
Hit
Miss
2/5
3
5
215
2
Not score
Score
Find the probability that Ryan misses the target and does not score a goal,
(2 marks)
Not score
Answer:
Step-by-step explanation:
6
2/3
15
13
Hit
Miss
2/5
3
5
215
2
Not score
Score
Find the probability that Ryan misses the target and does not score a goal,
(2 marks)
2. Rabbit Problem
When rabbits were first brought to Australia last
century, they had no natural enemies so their numbers increased
rapidly. Assume that there were 60,000 rabbits in 1865, and that by
1867 the number had increased to 2,400,000. Assume that the num-
ber of rabbits increased exponentially with the number of years that
elapsed since 1865.
Write the particular equation for this function,
b. How many rabbits would you predict in 1870?
c. According to your model, when was the first pair of rabbits in-
troduced into Australia?
According to the exponential function,
a) The function that models the given situation is f(rabbits) = 65000(√500/13)ˣ
b) The number of rabbits in 1870 is 6.5
c) According to your model, the first pair of rabbits introduced into Australia is 19th century
Here we have given that during the 19th century, here rabbits were brought to Australia.
And here we also know that the rabbits had no natural enemies on that continent, their population increased rapidly.
And we have given that there were 65,000 rabbits in Australia in 1865 and 2,500,000 in 1867.
Then according to the exponential function that could be used to model the rabbit population y in Australia in terms of x, the number of years since 1865 is to be determined.
Then the exponential function can be written as,
=> f(rabbits) = 65000(√500/13)ˣ
When we plot these on the graph then we get the graph like the following.
Through the graph we have identified that the value of rabbits in 1870 is 6.5
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A car's value is $9,800.A sales person receives 5% commission if he
sells the car. How much would he obtain in commission from the sale of
that car.
The commission the salesperson would receive is $490.
What is a commission?
A commission is a payment made to an individual, such as a salesperson or agent, for services rendered or a good sold. The commission is typically a percentage of the sale or revenue generated. This percentage is known as the commission rate.
To find the commission a salesperson would receive from selling a car, we need to multiply the commission rate (5%) by the car's value ($9,800).
The commission rate is given as a percentage, so we need to convert it to a decimal to do the calculation. We can do this by dividing the percentage by 100.
So 5% = 5/100 = 0.05
Then to find the commission the salesperson would receive we multiply:
Commission = 0.05 * $9,800
Commission = $490
Hence, the commission the salesperson would receive is $490.
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A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.016 in., with a tolerance of 0.004 in.
0.016 in.
(a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (Use h for
the thickness.)
(b) Solve the inequality that you found in part (a). (Enter your answer using interval notation.)
An inequality involving absolute values that describes the range of possible thickness for the laminate.
|h - 0.016| <= 0.004The range of possible thickness for the laminate is given by the interval (0.012, 0.02).What is inequality?(a) The range of possible thickness for the laminate is given by the tolerance of 0.004 in., so we can write an inequality involving absolute values as:
|h - 0.016| <= 0.004
(b) To solve the inequality, we need to consider two cases:
Case 1: h - 0.016 <= 0.004
h <= 0.02
Case 2: h - 0.016 >= -0.004
h >= 0.012
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Hello good morning do anyone think they could help please
Answer:
1. 15
2. 15
3. 13
4. 11
5. 14
6. 11
7. 18
8. 19
9. 18
10. 14
Step-by-step explanation:
the normal body temperature for an adult horse is 100 degrees F, but it can vary by as much as 1.2 degrees. which inequality could be used to determine the range of body temperature?
The requried inequality to determine the range of body temperature is given as 98.8 ≤ x ≤ 101.2.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The normal body temperature for an adult horse is 100 degrees F, but it can vary by as much as 1.2 degrees.
Let x be the average temperature of the horse,
100 - 1.2 ≤ x ≤ 100 + 1.2
98.8 ≤ x ≤ 101.2
Thus, the requried inequality determines the range of body temperature is given as 98.8 ≤ x ≤ 101.2.
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Which linear graph represents a proportional relationship?
A graph of a straight line that passes through the points 0 comma 2 and 1 comma 2.
A graph of a straight line that passes through the points negative 1 comma 0 and negative 1 comma 1.
A graph of a straight line that passes through the points 0 comma 0 and 1 comma negative 2.
A graph of a straight line that passes through the points 0 comma 2 and 2 comma 3.
Answer: The answer is C
Step-by-step explanation: i took the test and got it right
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 81 cm2
At the rate of 126cm/s is the area of the square increasing when the area of the square is 81cm2.
If each side of a square is increasing at a rate of 7 cm/s.
The area of the square increasing rate,
Area, A = s2
each side of the square is increasing at the rate of 7cm / s (= dx / dt).
s is the side length
=> dA/dt = 2s. ds/ dt
ds/dt = 7cm/s
Area of the square = 81 cm2
81 cm2 = s2
s = 9 cm
so, dA /dt = 2. 9. 7
= 126 cm2/s
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Item 9
Use the table to write a proportion. Game 1 6 penelties 16 minutes game 2 8 penelties m minutes how many minutes and what is a proportion
The value of the minutes in the game 2 is 3 and the proportion is 8/3.
As per the question,
Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.
Now, we have to form a proportion,
A proportion is a fractional relation between any two quantities.
So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.
6/16 = 8/m
m = 6x8/16
m = 3
So, the penalties in the game 2 are 3 and the proportion is 8/3.
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