a sprinter travels a distance of 300m in a time of 26.24 seconds. what is the sprinters avarage speed round to 4 sf?
Answers
Answer:
11.4329 m/s
Step-by-step explanation:
The average rate of speed is found by dividing the distance covered by the time it took to cover that distance.
__
speed = distance/time
speed = (300 m)/(26.24 s) = 11.4329 m/s
The sprinter's average speed was 11.4329 meters per second.
_____
Additional comment
The world record time was 30.81 seconds for 300 m, set in 2017. That is 9.7371 m/s.
Related Questions
At WHAT interest rate per 1,300$ yield $104 as simple interest in 8 months
Answers
Answer:
12%
Step-by-step explanation:
Simple Interest Formula
\(\large \boxed{ \sf I = Prt}\)
where:
I = interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $104P = $1300t = 8 months = 8/12 yearsSubstitute the given values into the formula and solve for r:
\(\implies \sf 104=1300r \left(\dfrac{8}{12}\right)\)
\(\implies \sf \dfrac{104}{1300}=\left(\dfrac{8}{12}\right)r\)
\(\implies \sf r=\dfrac{104 \cdot 12}{1300 \cdot 8}\)
\(\implies \sf r=\dfrac{1248}{10400}\)
\(\implies \sf r=0.12\)
Convert into a percentage by multiplying by 100:
\(\implies \sf r=0.12 \times 100=12 \%\)
Therefore, the interest rate is 12%.
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Translate this sentence into an equation.
47 is the difference of Matt's height and 17 .
Use the variable m to represent Matt's height.
Answers
Answer:
47 = m - 17
Step-by-step explanation:
I hope this helped!
Solve.
On a map, 1 inch equals 15.4 miles. If two cities are 3.5 inches apart on the map, how far are they actually apart?
Answers
Answer:
They are actually 53.9 miles away.
Step-by-step explanation:
1 in = 15.4 mi
Set up an equation:
Variable x = number of miles
1/15.4 = 3.5/x
Cross multiply:
1 × x = 15.4 × 3.5
x = 53.9
Write the multiplication table for Z3[x]/(x^2-x)
Answers
The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.
The multiplication table is:
| 0 1 x 1+x 2 2+x
-------------------------------
0 | 0 0 0 0 0 0
1 | 0 1 x 1+x 2 2+x
x | 0 x 2x 2+x x 1+2x
1+x| 0 1+x 2+x 2 2+x x
2 | 0 2 x 2+x 1 1+x
2+x| 0 2+x 1+2x x 1+x 2
Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.
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a recent survey reported that small businesses spend 24 hours a week marketing their business. a local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week. assuming that the population standard deviation is 6.1 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Answers
chamber of commerce’s claim at the 0.02 level of significance, z = -1.75
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
a recent survey reported that small businesses spend 24 hours a week marketing their business.
these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.
assuming that the population standard deviation is 6.1 hours.
Given n = 93, u =24, x' = 23, α=5.5
z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75
Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75
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Find the cost of 17/15 meters of cloth at $147/4 per meter help pls
Answers
Answer:
$2499/20 or $124.95
Step-by-step explanation:
Here the cloth of cost per meter is $147/4
and the cost of 17/5 meters of cloth is (147/4)×(17/5) (147*17)/(4*5)
2499/20 or 124.95
hence the cost of 17/5 meters is $2499/20 or $124.95
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?
A. 10.7a – 8.1b
B. 10.7a + 27.7b
C. 18.1a - 8.1b
D. 18.1a + 27.7b
Answers
Answer:
A) 10.7a - 8.1b
Step-by-step explanation:
(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)
Combine like terms.
(14.2a + 0.2a - 3.7a) = 10.7a
(9.8b - 13.1b - 4.8b) = -8.1b
Answer:
10.7a – 8.1b
Step-by-step explanation:
Find a polynomial p(x) of degree 3 or higher (e.g. x3+5x-7 or x4-x3+x2 ) with the property that p0=3 and p'0=-2 (i.e. the derivative of p evaluated at x=0 gives a value of -2 ). Explain how you found your polynomial. [2]
(b) Using MATLAB, plot px and p'(x) on the same graph. Label your axes and give the plot a title and a legend to indicate which curve is which. [2]
(c) Explain how your plot of p'(x) describes the rate of change of your polynomial p .
In your answer, you should:
Find the points where p'x=0 (if any exist)
Identify the intervals (of the domain) where p'x>0
Identify the intervals (of the domain) where p'x<0
and explain how the shape of p(x) is changing in each of these three cases. [3]
(d) Find another function q with q(x)≠p(x) which has the same derivative as p(x) . Plot the two functions on the same graph and explain how you found the function q. [2]
(e) (i) Expand p(x)2 as a polynomial and find its derivative.
(ii) Find a second method of calculating (d/dx)*(p(x)2) and show that your answer agrees with the calculation you did in (i). Give full details of your working. [3]
Answers
To find a polynomial p(x) with the given properties, we can start by assuming p(x) is of degree 3, so p(x) = ax^3 + bx^2 + cx + d.
Given p(0) = 3, we have d = 3.
Next, we need to find the derivative of p(x). Taking the derivative of p(x), we get p'(x) = 3ax^2 + 2bx + c.
Given p'(0) = -2, we have c = -2.
Now, we need to find values for a and b. We can use the condition p'(x) = -2 at x = 0 to get -2 = 3a(0)^2 + 2b(0) - 2. This simplifies to -2 = -2.
Since the equation is true for any values of a and b, we can choose any values we want. Let's choose a = 1 and b = 0.
So, our polynomial p(x) is p(x) = x^3 - 2.
Using MATLAB, you can plot px and p'(x) on the same graph. Make sure to label your axes and provide a title and a legend.
To find the points where p'(x) = 0, set p'(x) = 0 and solve for x. In this case, there are no such points.
To identify the intervals where p'(x) > 0 or p'(x) < 0, you can consider the sign of p'(x) in different intervals. In this case, p'(x) > 0 for all x.
Since p'(x) > 0 for all x, the shape of p(x) is always increasing.
To find another function q(x) with q(x) ≠ p(x) but having the same derivative, we can start with q(x) = p(x) + k, where k is any constant.
Plotting p(x) and q(x) on the same graph, you'll see that they have the same derivative but different values.
To expand p(x)^2, you can use the binomial theorem. The derivative of p(x)^2 can be found using the chain rule.
To calculate (d/dx)(p(x)^2) using a different method, you can also multiply p(x) by 2p'(x) and simplify. This will give you the same result.
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Connor went to the county fair with $32.50 in his pocket. He bought a hot dog and a drink for $4.50 and then
wanted to spend the rest of his money on ride tickets, which cost $2.00 each. Write an inequality to represent
the total spent where r is the number of tickets purchased.
Answers
Answer:
The answer is 14.
Step-by-step explanation:
4.50 + 2.00x ≤ 32.50
32.50 - 4.50 = 28
28 / 2.00 = 14
The total number of tickets he can buy is 14.
Let f be the function defined by f(x)=x^3+x. if g(x)=f^(-1)(x) and g(2)=1, what is the value of g'(2)?
Answers
The value of g'(2) is 1/301.
First, we can solve by setting y = f(x) and solving for x in terms of y:
\(y = f(x) = x^3 + x\)
Switching x and y and solving for y, we get:
\(x = y^3 + y\)
\(f^{(-1)}(x) = x^3 + x\)
Now we need to find g'(2), which is the derivative of g(x) evaluated at \(x=2\)
We can use the inverse function theorem, which states that:
\(g'(x) = 1 / f'(g(x))\)
So, we need to find g(2) and f'(g(2)):
\(g(2) = f^{(-1)}{(2)} = 2^3 + 2 = 10\)
\(f'(x) = 3x^2 + 1\)
\(f'(g(2)) = f'(10) = 3(10)^2 + 1 = 301\)
Therefore, using the inverse function theorem:
\(g'(2) = 1 / f'(g(2)) = 1 / f'(10) = 1 / 301\)
So, the value of g'(2) is 1/301.
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Find the value of (√ + √)
Answers
Answer:
2√
Step-by-step explanation:
Answer:
2√
Step-by-step explanation:
The sum of three consecutive natural numbers is 816, find the numbers.The three numbers in increasing order areand
Answers
Given:
The sum of three consecutive natural numbers is 816.
Let the numbers be x, x+1, and x+2.
To find the numbers:
Since, the sum of three consecutive natural numbers is 816.
So,
\(\begin{gathered} x+x+1+x+2=816 \\ 3x+3=816 \\ 3x=816-3 \\ 3x=813 \\ x=271 \end{gathered}\)Hence, the numbers are 271, 272, 273.
0. the population mean annual salary for acme corporation is $63,500. what is the probability that the mean salary of a person selected at random will have a salary that is less than $61,000? assume ????
Answers
To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.
First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:
Z = (X - μ) / (σ / √n)
Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)
Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.
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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.
To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.
Let's assume the sample standard deviation is $5,000.
First, we calculate the z-score:
\(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5
Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.
Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.
In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
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For the shown frame, if member fal has distribution factor of 0.25 and member CD had distribution factor of 0.21, what is the distribution factor for member CC1 and CC2. knowing they are equal? *
Answers
The distribution factor for members CC1 and CC2 in the given frame is 0.27.
To find the distribution factor for members CC1 and CC2 in the given frame, we need to use the principle of virtual work or the method of consistent deformations.
Since member CD has a distribution factor of 0.21, it means that when a unit load is applied at joint C, member CD carries 0.21 units of that load. Similarly, member CF carries 0.25 units of the load applied at joint C.
Since members CC1 and CC2 are equal, we can assume that they carry an equal proportion of the load applied at joint C. Let's denote the distribution factor for members CC1 and CC2 as x. Therefore, the load carried by member CC1 would be x units, and the load carried by member CC2 would also be x units.
According to the principle of equilibrium, the total load applied at joint C should be equal to the sum of the loads carried by each member connected to it. In this case, we have:
0.21 + 0.25 + x + x = 1
Simplifying the equation:
0.46+2x=1
Subtracting 0.46 from both sides:
2x=1−0.46
2x=0.54
Dividing both sides by 2:
x=0.27
Therefore, the distribution factor for members CC1 and CC2 in the given frame is 0.27.
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y=-3 using intercept and standard form
Answers
Answer:?
Step-by-step explanation:
Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh?
PLZZZ HELP
Answers
1 kg = 2.2 pounds ( rounded to the nearest tenth)
500 kg x 2.2 = 1,100 pounds
1100 pounds is less than 2,500 so the forklift can lift it.
Answer:
2,500= 1133.981
Step-by-step
The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237
= 1133.980925 kg
0.45359237 this is the conversion rate therefore 1134 is the answer (was rounded)
What is the measure of 2
Answers
Answer: C. 90ᴼ
Step-by-step explanation:
This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.
The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.
180 / 3 = 60
Each angle measures 60ᴼ
What id an equation of a line in point-slope form that passes theough (1,-7) and has a slope of -2/3?
Answers
(y + 7) = -2/3(x - 1) is the point-slope form of the equation of a line passing through (1, -7) and having a slope of -2/3.
How to calculate a line's equation in point-slope formThe query revealed information include
a slope of -2/3
point (1, -7)
Describe a linear function.Those functions with exponents of 1 are known as linear functions.
The form represents the equation of a line in point-slope form.
(y - y₁) = m (x - x₁)
Variables in the y direction are described by (y and y₁).
variables in the x direction are described by (x and x₁).
m = slope
substituting into the slope and point (1, -7) equation gives
()y + 7) = -2/3 (x - 1)
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Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 x < 0 x2 49 0 ≤ x < 7 1 7 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 5). (b) Calculate P(4.5 ≤ X ≤ 5). (c) Calculate P(X > 5.5). (d) What is the median checkout duration ? [solve 0.5 = F()]. (e) Obtain the density function f(x). (f) Calculate E(X). (g) Calculate V(X) and ????x. (h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].
Answers
Using cdf the following results are obtained of the given function F(x) = 0 x < 0 x2 49 0 ≤ x < 7 1 7 ≤ x
P(X ≤ 5) = 0.7813
P(4.5 ≤ X ≤ 5) = 0.0977
P(X > 5.5) = 0.1211
Median checkout duration = 4.6904
f(x) = (2x/49) for 0 ≤ x < 7, and 0 elsewhere
E(X) = 3.5 hours
V(X) = 2.4231 hours^2, and σ_x = 1.5564 hours
E[h(X)] = 10.9375
(a) P(X ≤ 5) = F(5) - F(0) = (5^2/49) - 0 = 0.7813
(b) P(4.5 ≤ X ≤ 5) = F(5) - F(4.5) = (5^2/49) - (4.5^2/49) = 0.0977
(c) P(X > 5.5) = 1 - F(5.5) = 1 - 1 = 0
(d) Solve 0.5 = F(median) for median, which gives median = 4.6904
(e) f(x) = dF(x)/dx = (4x/49) for 0 ≤ x < 7, and 0 elsewhere
(f) E(X) = ∫x f(x) dx = 3.5 hours
(g) V(X) = ∫(x-E(X))^2 f(x) dx = 2.4231 hours^2, and σ_x = sqrt(V(X)) = 1.5564 hours
(h) E[h(X)] = ∫h(x) f(x) dx = 10.9375
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What is the volume of each of the five colors in a 4-inch cubed notepad? Assume each color has the
same number of sheets.
A=12. 8
B=. 512
C=3. 2
D=64
Answers
The volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.
We have a 4-inch cubed notepad, meaning its dimensions are 4 inches in length, width, and height.
Let's calculate the volume of the notepad using the formula: Volume = length x width x height.
The volume of the notepad is calculated as: 4 x 4 x 4 = 64 cubic inches.
Now, we have 5 different colors, and each color has the same number of sheets. Let's assume there are 'n' sheets of each color.
The volume of each color can be determined by dividing the volume of the notepad by the total number of colors. So, the volume of each color is calculated as: 64/5 = 12.8 cubic inches.
Therefore, the volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.
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in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
Answers
A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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Determine wheather the graphs of y=2x+1 and y=-1/2x-7 are parallel, perpendicular, coincident, or none of these. PLEASE HELP ASAP!!!! will mark brainlest.
Answers
Answer:
b
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 )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
y = - \(\frac{1}{2}\) x - 7 ← is in slope- intercept form
with slope m = - \(\frac{1}{2}\)
• Parallel lines have equal slopes
the slopes are not equal thus not parallel
• the product of the slopes of perpendicular lines is equal to - 1
2 × - \(\frac{1}{2}\) = - 1
Thus the 2 lines are perpendicular to each other.
Write each decimal as a fraction in simplest terms
Answers
Answer:
A. 25/33
B. 1/3
C. 1/33
D. 25/9
Answer:
Step-by-step explanation:
a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
Answers
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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Xy has 10 pets: 4 dogs, 3 cats, 2 alpacas and 1 bunny. If he wants to arrange them in a row and make sure the pets are always grouped according to species, how many ways can he arrange the pets?
Answers
The number of ways pets can be arranged in group according to the species is in a row 288 ways.
Pets can be grouped by permutation concept as follows.
Total number of pets = 10
Number of dogs = 4
Number of cats = 3
Number of alpacas = 2
Number of bunny = 1
The number of ways pets can be arranged in group according to the species in a row as,
⇒ (4!)(3!)(2!)(1!)
⇒ (24)(6)(2)(1)
⇒ 288
Hence we can conclude that the number of ways pets can be arranged in group according to the species in a row is 288 ways.
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find the area of each square. each grid square represents square unit. use the sketch tool if it helps you with your thinking.
Answers
The area of the squares are
A = 17 units², B = 20 units², C = 13 units², and D = 37 units²
Finding area using grid paper
Count the number of complete squares that are fully contained within the shape. Start from one corner of the shape and count each square until you reach the opposite corner. Include any partial squares as well.
If there are partial squares, estimate the area they cover. You can do this by visualizing how much of each square is filled by the shape and approximate the area accordingly.
Add up the areas of the complete squares and the estimated areas of the partial squares to find the total area of the shape.
Here we have 4 squares A, B, C, and D
Now count the number of unit squares covered by each square
Number of squares covered by A = 17
Hence, the Area of Square A = 17 units²
Number of squares covered by B = 20
Hence, the Area of square B = 20 units²
Number of squares covered by C = 13
Hence, the Area of square C = 13 units²
Number of squares covered by D = 37
Hence, the Area of square D = 37 units²
Therefore,
The area of the squares are
A = 17 units², B = 20 units², C = 13 units², and D = 37 units²
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Complete Question is attached below
in a recent poll, 410 people were asked if they liked dogs, and 12% said they did. find the margin of error for this poll, at the 95% confidence level. give your answer to four decimal places if possible.
Answers
The margin error for the given poll having 95% confidence level with sample size of 410 is equal to 3.15%.
Sample size n = 410
Confidence level = 95%
Margin of error for this poll, use the formula,
ME = Z× (√(p₁(1-p₁) / n))
where Z is the z-score corresponding to the desired level of confidence.
p₁ is the sample proportion = 0.12
Using attached z-score table,
For a 95% confidence level, the corresponding z-score is 1.96.
Substituting the given values, we get,
ME = 1.96 × (√(0.12× (1-0.12) / 410))
Simplifying the expression inside the parentheses, we get,
⇒ME = 1.96 × 0.0160
⇒ME = 0.0315
Margin of error for this poll at the 95% confidence level is approximately 0.0315.
Therefore, 95% confidence level represents that the true proportion of people who like dogs is within 3.15% of the observed proportion of 12%.
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find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −2, 7) and (−2, 3, 5). (enter your answers as a comma-separated list of equations.)
Answers
The equations of the line parallel to the z-axis and passing through the midpoint between the two given points are x = -1, y = 0.5, and z = t, where t represents the distance along the z-axis.
Since the line is parallel to the z-axis, its direction vector will be (0, 0, 1). Now, let's find the midpoint between the two given points:
Midpoint = ((0 + (-2))/2, (-2 + 3)/2, (7 + 5)/2)
= (-1, 0.5, 6)
Therefore, the line parallel to the z-axis and passing through the midpoint (-1, 0.5, 6) can be represented by the following set of parametric equations:
x = -1 (remains constant)
y = 0.5 (remains constant)
z = t (where t is a parameter representing the distance along the z-axis)
In Cartesian form, the equation of the line can be written as:
x = -1
y = 0.5
z = t
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Number of associates = m
Cost of each associates = $400
Number of partners = n
Cost of each partner = $1000
Now,
Total number of lawyers = 16
Total amount charged = $11800
Now,
m + n = 16
m = 16 - n
400m + 1000n = 11800
Putting m = 16 - n.
400(16 - n) + 1000n = 11800
6400 - 400n + 1000n = 11800
6400 + 600n = 11800
600n = 11800 - 6400
600n = 5400
n = 5400/600
n = 9
Now,
m = 16 - n
m = 16 - 9
m = 7
Thus,
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
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Help me find the figure , area formula and the area
Answers
So the area is 432
Answer:
We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle. This means that we are able to use the area formula for the rectangle which is \(A=l*w\).
Therefore, we can just multiply 27 cm by 16 cm and we get \(A = 432\ cm^2\)
Hope this helps! Let me know if you have any questions