Usain Bolt is faster in the first race in the 2012 Olympics.
Given that:
Usain Bolt won the 100m and 200m in 9.63 and 19.32 seconds, respectively, at the 2012 Summer Olympics.
The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The rate for the 100 m race is calculated as,
R1 = 100 / 9.63
R1 = 10.38 m/s
The rate for the 200 m race is calculated as,
R2 = 200 / 19.32
R2 = 10.35 m/s
Usain Bolt is faster in the first race in the 2012 Olympics.
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OMg plzzz help due 5 minutes answer whatever u can and real answers plz
(HELP FAST PLEASE)
Rodrigo scored 17 goals in 6 games. At this rate how many goals will he score in 4 games? Round your answer to the nearest whole number.
Answer:
I think of scoring 6 goal
Answer:
approximately 12
Step-by-step explanation:
17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12
Solve: A = LW/2 for L
Answer:
I think L = W/2A
Step-by-step explanation:
Answer:
A: \(L=\frac{2A}{W}\)
Step-by-step explanation:
\(A=\frac{LW}{2}\)
\(\frac{LW}{2}=A\)
\(\mathrm{Multiply\:both\:sides\:by\:}2\)
\(\frac{2LW}{2}=2A\)
\(LW=2A\)
\(\mathrm{Divide\:both\:sides\:by\:}W;\quad \:W\ne \:0\)
\(\frac{LW}{W}=\frac{2A}{W};\quad \:W\ne \:0\)
\(Simplify\)
\(L=\frac{2A}{W};\quad \:W\ne \:0\)
Describe a real or made up but possible example of a product that went through a time of scarcity. what was likely to happen to the price of the product when it was scarce, and why? (1-3 sentences. 3.0 points)
As the law of supply and demand states, there is an effect on the price of a product depending on its availability.
If there is a low supply and a high demand, there is an increase in price and vice versa.
Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.
As the law of supply and demand states, there is an effect on the price of a product depending on its availability.
For example we can use water. If a product becomes scarce its price would increase due to supply in demand.
If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.
In short, if there is a low supply and a high demand, there is an increase in price and vice versa.
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In triangle △ABC, ∠C is a right angle and CD is the altitude to AB . Find the angles in △CBD and △CAD if
Applying the triangle sum theorem, the measures of the angles in △CBD are: m∠CDB = 90°; m∠BCD = 65°; m∠CBD = 25°
In △CAD, they are: m∠A = 65°; m∠ADC = 90°; m∠ACD = 25°
What is the Triangle Sum Theorem?All interior angles of a triangle have a total sum of 180 degrees when added together, according to the triangle sum theorem.
Given:
Measure of angle C = 90 degrees
In △CAD, we have the following angle measures:
m∠A = 65° (given)
m∠ADC = 90° [right angle]
m∠ACD = 180 - 90 - 65 [triangle sum theorem]
m∠ACD = 25°
In △CBD, we have the following angle measures:
m∠CDB = 90° [right angle]
m∠BCD = 90 - m<ACD [complementary angle]
m∠BCD = 90 - 25
m∠BCD = 65°
m∠CBD = 180 - m∠BCD - m∠CDB [triangle sum theorem]
m∠CBD = 180 - 65 - 90
m∠CBD = 25°
In summary, applying the triangle sum theorem, the measures of the angles in △CBD are: m∠CDB = 90°; m∠BCD = 65°; m∠CBD = 25°
In △CAD, they are: m∠A = 65°; m∠ADC = 90°; m∠ACD = 25°
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pleaseeeee helppppppp
Answer:
hahahahahahahahaha
What is 0.29 km in mm? Report your answer with two significant figures
29000 mm
290000 mm.
2900000 mm
0.29 km is equal to 290,000 mm when rounded to two significant figures.
Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).
Step 1: Multiply 0.29 km by the conversion factor:
0.29 km x 1,000,000 = 290,000,000 mm
Step 2: Round the result to two significant figures:
Since the original value, 0.29 km, has two significant figures, we round the result to match.
290,000,000 mm becomes 290,000 mm.
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Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of drug given, x, and the time since injection, t For 0 <= x <= 5 and t >= 0 hours, we have C = f(x,t) = 26te^-(5-x) f (3,5) = _____
Using the given function, we can plug in x=3 and t=5 to find the concentration of the drug in the blood:
C = f(x,t) = 26te^-(5-x)
C = f(3,5) = 26(5)e^-(5-3)
C = f(3,5) = 130e^-2
Using a calculator, we can simplify this to:
C = f(3,5) ≈ 32.22 mg/liter
Therefore, the concentration of the drug in the blood 3 hours after injection with a dosage of 5 mg is approximately 32.22 mg/liter.
Hi! To find the concentration C at f(3,5), you'll need to plug in the values for x and t into the given function f(x,t) = 26te^-(5-x).
So, f(3,5) = 26(5)e^-(5-3) = 130e^(-2).
Now, calculate the exponential value: e^(-2) ≈ 0.1353.
Finally, multiply this value by 130: 130 * 0.1353 ≈ 17.589.
Thus, f(3,5) = 17.589 mg/liter (rounded to 3 decimal places).
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456÷368
what is the answer
\( \tt 456 \div 368\)
\( \tt = \dfrac{456}{368}\)
\( \tt = \dfrac{\cancel{456}^{228}}{\cancel{368}_{184}}\)
\( \tt = \dfrac{\cancel{228}^{114}}{\cancel{184}_{92}}\)
\( \tt = \dfrac{\cancel{114}^{57}}{\cancel{92}_{46}}\)
\( \tt = \dfrac{57}{46}\)
\( \pink{\tt \therefore \: Answer \: is \: \dfrac{57}{46} \: or \: 1.24 (approx.)}\)
Answer:
\(\boxed{456 \div 368}\\ \frac{456}{368} = \frac{228}{184} = \frac{114}{92} = \frac{57}{46} ≈1.24 \: (approx)\)
Discrete mathematics
1 [*^]. C(x) = (x^] A² = (^+1) = n+1 EXA meeting is held with 5 delegates from each of 100 countries. How many ways form a committee with 25 deleg. using 1 person from each country? at most MacBook A
The number of ways to form a committee with 25 delegates, taking one person from each country, can be calculated as the product of the number of choices from each country.
Since there are 5 delegates from each of the 100 countries, the total number of ways is (5^100), which can be expressed as an extremely large number.
1. Each country has 5 delegates, and we need to select 1 delegate from each country. So, we have to make 100 choices.
2. For each choice, we have 5 options (as there are 5 delegates from each country).
3. By multiplying the number of choices for each country, we get the total number of ways: 5^100.
4. Calculating 5^100 gives us a very large number, which is the total number of ways to form the committee with 25 delegates.
Note: The actual numerical value of 5^100 is too large to be expressed accurately, but it can be approximated using scientific notation or calculated using specialized tools.
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If you answer or comment this I'll mark you brainlist. This is for a project for comparing the two and I need to ask a bunch of people to create a graph.
Which is better Starbucks or Scooters?
one solution for y=2x-1
One solution for the given linear equation is the poiont (1, 1)
How to find one solution for the linear equation?We want to find a solution for the linear equation:
y = 2x - 1
A solution will be any pair (x, y), such that when we replace these values in the equation, it becomes true.
To find a solution we can evaluate the equation in some value of x, for example, if x = 1
y = 2*1 - 1
y = 2 - 1
y = 1
(1, 1) is a solution for the line.
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If A1 Car Rental offers a $125 weekly rate, what would be the equivalent yearly rental rate? A$7380, B $8854, C $8544 D$6500
Answer:d. 6500
Step-by-step explanation:
Answer: D)$6500
Step-by-step explanation: took the quiz
1. A submarine is 40 meters below sea level. It goes up 12 meters, then goes down 30 meters. What is the submarine's new position relative to the sea level?
A - 82 meters
B - 70 meters
C. - 58
D 2 meters
A bakery uses 7.25 pounds of carrots to makes 5 cakes. LeBron wants to use the same recipe. How many pounds of carrots does LeBron need to make one carrot cake for his teammates?
Answer:
Question Number 1: C. -58 meters
Question Number 2: 1.45 lbs
Step-by-step explanation:
Question Number 1:
40 - 12 = 28 meters below sea level
28 + 30 = 58 meters below sea level . So respectively its negative, so -58 would be your answer .
Question Number 2:
To figure out how many pounds of carrots are in each cake, divided 7.25 by 5. That equals 1.45. So one cake needs 1.45 pounds of carrots.
Determine whether the following is a statistical question.
How old are you?
PLEASE HELP ME
Answer:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school? and "how old are you?" are statistical questions.
Step-by-step explanation:
a random sample of 150 people was taken. 98 of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 57%. [r] refer to exhibit 9-6a. at the 0.1 level of significance, what conclusion do you draw? group of answer choices
At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.
we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98 determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.
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What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
50 POINTS!!!!!! Solve this question with all work and steps shown.
The measures of the angles are 30, 60 and 90 degrees
How to determine the valueTo determine the value, we need to know that the following;
The sum of the angles in a triangle is 180 degreesA triangle has three sidesIt had three anglesFrom the information given, we have that;
The angle measures are 6x, 4x and 2x
Equate the measures to 180 degree
We have;
6x + 4x + 2x = 180
collect the like terms
12x = 180
divide by the coefficient
x = 15
then, 2x = 2(15) = 30 degrees
4x = 4(15) = 60 degrees
6x = 6(15) = 90 degrees
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the random variable x is known to be uniformly distributed between 5 and 15. compute e(x), the expected value of the distribution.
The expected value of the distribution for the random variable x is 10. This means that if we were to repeat the experiment many times, the average value of x would converge to 10, with some fluctuations around this central value due to the randomness of the uniform distribution.
The expected value of a random variable is a measure of the central tendency of its distribution, representing the average value that we would expect to observe over many trials or events. In the case of a uniform distribution, where all values between the minimum and maximum are equally likely, the expected value can be calculated as the average of the two endpoints:
e(x) = (5 + 15) / 2 = 10
Therefore, the expected value of the distribution for the random variable x is 10. This means that if we were to repeat the experiment many times, the average value of x would converge to 10, with some fluctuations around this central value due to the randomness of the uniform distribution.
It is important to note that the expected value is not always equal to the most common or typical value of a distribution, but rather represents a measure of the overall tendency of the data. Other measures such as the variance or standard deviation can provide additional information about the spread or variability of the distribution, which can be useful for making statistical inferences or predictions.
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Hey can someone help me with these I will give a lot of points and brainliest!!!
Answer:
6) 62.5%
7) 54
8) B
Step-by-step explanation:
For number 6, just add 96 and 160 and then do 160/(96+160), which is equal to 0. 625, or 62.5%.
for number 7, x is always equal to 1/3 of y, so if x is 18, we know that 18 is 1/3 of y. 18x3 is equal to 54, which is your answer.
For number 8, you can see that B is right because it uses the greatest common factor of 32 and 48, which is 16. All the other answers can be simplified more.
Answer:
6. C) 62.5%
7. D) 54
8. B) 16(2c + 3d)
Step-by-step explanation:
160 + 96 = 256
\(\frac{160}{256}=\frac{160/32}{256/32}=\frac{5}{8}\)
5 ÷ 8 = 0.625
0.625 × 100
62.5%
GCF = 32
The factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256
The GCF is 32.
1:3 = 7:21 = 9:27 = 13:39 = 18:y
\(\frac{1}{3}: \frac{18}{y}\)
1 × y = 18 × 3
y = 54
GCF(32, 48)
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF = 2 × 2 × 2 × 2
GCF = 16
16(2c + 3d)
May some one please help me if that okay :)
Answer:
the awnser is B
Step-by-step explanation:
substitute x for 9, 4(9) is equal to 36
Answer:36
Step-by-step explanation: X= 9
So, then you would have to replace the x with 9.
For Example 4(9)= 36
4x9= 36
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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In a boys school, if 5 students sit in every banch
15 benches are needed for 75 students in the boys' school. To determine the number of benches needed for 75 students if 5 students sit in every bench, we can use division. Number of benches = Number of students / Students per bench.
To accommodate 75 students in a boys' school, with 5 students sitting in each bench, we need to divide the total number of students by the number of students that can sit in one bench.
In this case, 75 students divided by 5 students per bench equals 15 benches. Therefore, we need 15 benches to seat all 75 students.
This calculation is an example of division, one of the basic arithmetic operations. Division involves splitting a quantity into equal parts. In this case, we are dividing the total number of students by the number of students that can sit in one bench to find the number of benches needed.
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Complete question:
In a boys' school, if 5 students sit in every bench, how many benches are needed for 75 students?
line TU is tangent to the circle at T. Find the length of line TU
Since line TU is tangent to the circle at T, we know that TU is perpendicular to the radius that passes through T. Let O be the center of the circle and let OT be the radius that is perpendicular to TU. Then, we can use the Pythagorean theorem to find the length of TU.
Let r be the radius of the circle. Then, we have:
OT^2 + TU^2 = OU^2
But OU = r, since it is the distance from O to any point on the circle. Also, since OT is a radius, we have OT = r. Substituting these values, we get:.
r^2 + TU^2 = r^2
Simplifying this equation, we get:
TU^2 = 0
Therefore, TU = 0. This means that line TU has zero length, which makes sense since it is tangent to the circle at a single point.
To find the length of line TU, which is tangent to the circle at point T, you will need additional information, such as the radius of the circle, the coordinates of the points T and U, or the context in which this problem is presented. .
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Ahmed spent $ 27 and now has no money left. He had before his purchase.
Answer: $27
Step-by-step explanation:
Your question is unfinished but I'm assuming you want to know how much he had before his purchase.
If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase
Please answer the question now in two minutes
Answer: A. mB = 24.8ᴼ
Step-by-step explanation:
A and B are complementary angles, which means they add to equal 90ᴼ.
To find mB, subtract mA from 90
90 - 65.2 = 24.8
what is the equivalent to (-2a^-3b^6)^3 (2a^2b)
How do you divide a number by a fraction?
For example, how would I go about solving this problem?
:
200.96 ÷ 3/4 =
Detailed answers only please.
There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.
Change the Fraction Into a Decimal
---3/4 = 0.75
So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:
20096 / 75 = ?
---The decimal point was moved two places to the right in order to make the former fraction a whole number.
Multiply by the Reciprocal
---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.
Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:
200.96/1 x 4/3 = ?
Answer: 803.84 / 3 = 267.9467
Hope this helps!
Identify the graph of 2x2+2y
Answer: C
Step-by-step explanation:
in how many ways 7 people be seated at around a table if; a) they can sit anywhere, b) two particular people must not sit next to each other?
Answer:
I’d say the two people that can’t sit next to each other but to choose a different seat, if they find themselves seated next to each other they could ask someone next to them to switch seats with them. The 7 people can sit anywhere but the 2 particular people could sit away from the other.
Step-by-step explanation:
I hope I helped! ^.^’