Speed= Distance÷ Time
Time = 120/x
Question 2 of 10
What is the y-intercept of the line given by the equation y = 5x + 16?
Answer here
SUBNI
Hi!
This equation is written in ' y = mx + b ' form, where m is the slope, and b is the y-intercept.
Therefore, looking at this equation, we can see that 16 is the y-intercept.
Hope this helps! Let me know if you need any other help :D
Answer:
the y intercept is (0,16)
Step-by-step explanation:
In an equation like this y= 5x+16. The number next to x would be the slope and the number after the x would be the y intercept.
Expand and simplify (2x - 1)(x + 3)(x - 5)
Answer:
2x^3-5x^2-28x+15 -------------------------expanded
2x^3-5x^2-28x+15--------------------simplified
Step-by-step explanation:
\left(2x-1\right)\left(x+3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
simplyfied
\left(2x^2+5x-3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
=2x^3-5x^2-28x+15
The Lucas sequence is like the Fibonacci sequence except that the starting numbers are 2 and 1 instead of 1 and 0. What are the first ten terms of the Lucas sequence?
The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
What is Lucas sequence?The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.
Now, the sequence of first 10 numbers of Fibonacci series are-
0, 1, 1 ,2, 3, 5, 8, 13, 21, 34
which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.
And the sequence of Lucas sequence is -
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
which is definedas the sum of its two immediate previous terms.
The Lucas number may thus be defined as follows;
Ln = \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)
Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.
Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
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I’ll give you 15 points if you know the answers to this question
It would be B)no.
Hope This Helps!
What is the difference between a formal and informal proof?
A) A formal proof is much shorter, whereas an informal proof is longer.
B) A formal proof provides the reasons for steps, whereas an informal proof does not.
C) A formal proof uses equations, whereas an informal proof only uses text.
D) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
Answer: D
Step-by-step explanation: formal proofs deeply uses tables or a list of steps where informal proofs are proven in paragraphs.
plss help me bro :((
Answer:
8√6 is equivalent to 4√8 × √3
Step-by-step explanation:
Simplify the radical
Hope this helps!!
Three-year-old boys in the United States have a mean height of 38 inches and a standard deviation of 2 inches, and 10-year-old girls have a mean height of 54.5 inches and a standard deviation of 2.5 inches.
Mrs. Davis has two children: a 3-year-old boy 43 inches tall and a 10-year-old girl 57 inches tall.
Which of Mrs. Davis' children is more unusually tall for his
or her age and gender? Explain, showing any calculations you perform.
The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.
To solve this problemA z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.
For the 3-year-old boy, the z-score is:
z = (43 - 38) / 2 = 2.5
The z-score for the 10-year-old girl is:
z = (57 - 54.5) / 2.5 = 1
The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .
Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.
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The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
for such more question on range
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y=-1/4(x-10)^2+28 write in standard form
Answer:
\(y = -\frac{1}{4}x^{2} + 5x + 3\)
Enter any value of b that will make the following expression factorable
x2 + bx + 13
Answer:
14
Step-by-step explanation:
?*?=13 and ?+?=b
since 13*1=13, you could replace b with 14, since 13+1=14.
this will factor out into (x+1)(x+13)
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs
Probabilities are used to determine the chances of events
The probability that event A occurs is 1/2
How to determine the probability of event AFrom the question, we have the following highlights
Both events A and B are mutually exclusiveThey are collectively exhaustiveThe above means that, the sample space of the events is;
S = {A, B}
So, the sample size is:
n(S) =2
The probability is then calculated as:
\(p = \frac{n(A)}{n(S)}\)
This gives
\(p = \frac{1}{2}\)
Hence, the probability that event A occurs is 1/2
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Please help me find the slope if you answer this I’ll mark you brainliest. Picture below
Answer:1111
Step-by-step explanation:9*064
Answer:
undefined
Step-by-step explanation:
it's just up and down, no rise over run or anything
The length (L) of a hall is five times (5x) as long as the width (W) of 10feet.
How many tiles measuring 1sq.ft are needed to cover the entire floor area of the hall?
Answer:
500 tiles
Step-by-step explanation:
First find the area of the hall=10ft×(10ft×5)=500ft²
Number of tiles required=500ft²÷1ft²=500
What is the meaning of "each partition P of X defines an equivalence relation on X"?
The statement indicates that when a set X is partitioned, each partition forms an parity relation by grouping together rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.
The statement" each partition P of X defines an parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an parity relation on the original set X.
An parity relation is a relation that satisfies three parcels reflexivity, harmony, and transitivity. In the environment of partitions, when a set X is divided into subsets, each partition forms an parity relation by grouping together rudiments that partake a common characteristic or property.
Within each partition, the rudiments are considered original or affiliated to each other, and they're distinct from rudiments in other partitions. The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.
It implies that different partitions may live grounded on different criteria or conditions for grouping rudiments.
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What is the measure of angle AED?
Answer:
Step by step explanation:
well this is simble you just do it
Helpppp!!!
(Just the first one)
Answer:
All are rational except 2.36473....
Step-by-step explanation:
Any integers are rational, which means the top option (1000892) is rational.
Anything that can be written as a fraction is also rational, so \(\frac{1}{4}\) is rational.
0.89 can also be written as a fraction as \(\frac{89}{100}\) and 0.37373737... as \(\frac{37}{99}\)
Therefore the only number that is not rational is the last, as it never repeats itself so can't be written as a fraction.
Hope this helps! Let me know if you have any questions :)
John starts walking north at 4 ft/s from a point P. Five minutes later Lyudmyla starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 minutes after Lyudmyla starts walking?
8.99ft rate is the people moving apart 15 minutes after Lyudmyla starts walking.
We’ve defined x and y to be the distance john and Lyudmila, respectively, have traveled since they started walking.
As these distances are increasing, the rates of change will be positive for both.
dx/dt=4ft/s dy/dt=5ft/s
We can calculate x and y as well:
x= 4ft/s· 20 min · 60 s/min = 4, 800 ft
y = 5ft/s·15 min · 60 s/min = 4, 500 ft
We’re interested in how fast the distance between John and Lyudmyla is changing, the distance is labeled as z. This means we want to find dz/dt
We need an equation that relates x, y, and z. so we can use the Pythagorean Theorem:
It is the way in which you can find the missing length of a right-angled triangle.
It is in the form of a²+b²=c²
(x + y)^2 + 500^2 = z^2
This also gives us that z ≈ 9313.43 ft after the woman has been walking for 15 minutes.
Differentiating this we get
2(x + y) ·(dx/dt +dy/dt )= 2zdz/dt
Plug in our values, and we get that dz/dt ≈ 8.99ft
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Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
A plane travels a distance of 6,000 km in a time of 6.8 hours.
What is its average speed rounded to the nearest whole number?
Answer:
distance =6,000km
time =6.8 hrs
speed =distance /time =6,000/6.8=60000/68=882 km/h
How would one convert 6 lb to ounces (16 oz = 1 lb)?
O A. 6 lb
16 oz
1 lb
O B.
6 lb
16 OZ
O C. 6 lb x 16 oz
O D. 61bx
1 lb
16 oz
Answer:
6 * 16
Step-by-step explanation:
One pound is 16oz.
Multiply the number of pounds by 16.
6 * 16 = 96
6 pounds is 96oz.
Hope this helps.
Answer:6lb x 16oz/1lb
Step-by-step explanation:just took the test
Please help me the question
The polynomials completely factorized have the following expressions;
50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
How to factorise the polynomials completelyFor the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;
(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2
x² + 3x + 2 = (x + 1)(x + 2)
so;
x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;
(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8
x² - 2x - 8 = (x + 2)(x - 4)
so;
x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;
(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14
x² - 9x + 14 = (x - 2)(x - 7)
so;
x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
For the polynomial x³ - x² + 21x + 45 divisible by x + 5;
(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9
x² - 6x + 9 = (x - 3)(x - 3)
so;
x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.
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Given 3 + 7 + 11 + 15 + … find S20
Answer:
Hi
Please mark brainliest ❣️
How is the worth of currency determined?
Imports and exports
The gold standard
Trade
Each nation’s economic health as a whole
Answer:
1
Step-by-step explanation:
Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.
CAN SOMEONE PLEASE HELP ASAP!!
Answer:
42.9
Step-by-step explanation:
There are many ways to answer this one, the most direct way would be to state that tan(65)=a/20
20tan(65)=a
Using the calculator (set in degree mode)
we find that a ~ 42.9
25 feet equals how many inches
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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By visual inspection alone, which one of the following pairs of variables has a stronger relationship between them?
1. Community violence exposure and Bullying by peers have a strong relationship at -0.24.
2. Community violence exposure and Bullying by peers have a strong relationship at 0.20.
3. Community violence exposure and SAT-9 Mathematics have a stronger relationship at -0.24.
4. Community violence exposure and SAT-9 Mathematics have a stronger relationship at 0.20.