Answer:
Step-by-step explanation:
198
The ratio of runners to walkers in the fund raiser was 6 to 1. If there were 10 walkers, how many runners were there?
Answer:
If the ratio of runners to walkers in the fund raiser was 6 to 1, and there were 10 walkers, then there would have been 60 runners.
Answer:
60 runners
Step-by-step explanation:
1x10=10
6x10-60
What are the first five terms in the recursive sequence defined by
a1=2
a2=3
an=an-2*an-1
?
The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.
First five terms of the recursive sequence defined by a1 = 2, a2 = 3, and an = an-2 * an-1.
1. First term (a1): Given as 2.
2. Second term (a2): Given as 3.
3. Third term (a3): To find a3, use the formula an = an-2 * an-1. In this case, n = 3, so a3 = a1 * a2 = 2 * 3 = 6.
4. Fourth term (a4): Similarly, to find a4, use the formula with n = 4. So a4 = a2 * a3 = 3 * 6 = 18.
5. Fifth term (a5): Finally, to find a5, use the formula with n = 5. So a5 = a3 * a4 = 6 * 18 = 108.
The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.
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Volume of a pentagonal prism is 360 inches cubed. The height of prism is 3 inches. What is the area of the pentagon base?
The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²
What is a pentagonal prism?A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.
Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,
We need to find the area of the base,
We know that, the volume of a pentagonal prism is =
V = 1/4 √(5(5+2√5)·a²h
Where a is the base edge and h is the height,
360 = 1/4·3 √(5(5+2√5)·a²
1/4·√(5(5+2√5)·a² = 120
Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²
And we have,
1/4 √(5(5+2√5)·a² = 120
Therefore, the base area is 120 in²
Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²
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what if i am in the international space station approximately 240 miles above the surface of the earth. approximately how far away is the horizon?
The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.
As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.
In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]
D is the distance to the horizon
R is the radius of the earth
h is the height above sea level of the observer in meters.
The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.
Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles
Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.
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a+bank+deposit+paying+simple+interest+at+the+rate+of+8%/year+grew+to+$1200+in+10+months.+find+the+principal.+(round+your+answer+to+the+nearest+cent.)+$
According to the Question, the principal is approximately $1191.11.
To find the principal, we can use the formula for simple interest:
Simple Interest = (Principal * Rate * Time) / 100
In this scenario, we need to find the principle. We know the annual rate is 8%, leading to the monthly rate being 8%/12 (since there are 12 months in a year). The period has been defined as ten months, and the simple interest is calculated as the difference between the final amount ($1200) and the principal.
Let's calculate the principal using the given information:
Simple Interest = (Principal * Rate * Time) / 100
1200 - Principal = (Principal * (8%/12) * 10) / 100
1200 - Principal = (Principal * 0.00667)
1200 = Principal + (Principal * 0.00667)
1200 = Principal * (1 + 0.00667)
1200 = Principal * 1.00667
Principal = 1200 / 1.00667
Principal ≈ $1191.11
Rounded to the nearest cent, the principal is approximately $1191.11.
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I WILL GIVE BRAINLIEST
A plane is at an altitude of feet above ground level. After 30 minutes, the plane rises by an altitude of feet. Which of the following is true about the altitude of the plane after 30 minutes?
A.
The altitude of the plane after 30 minutes is feet.
B.
The altitude of the plane after 30 minutes is feet.
C.
The altitude of the plane after 30 minutes is feet.
D.
The altitude of the plane after 30 minutes is feet.
Answer:
I gotchu
Step-by-step explanation:
Help please quickly!!!
Answer:
rotation
Step-by-step explanation:
because I know yup yuppy yup
What is the solution of the equation x + 12.23 = 28.659?
Answer:
16.429
Step-by-step explanation:
x+12.23=28.659
28.659-12.23=16.429
Answer:
\(\mathrm{x=16.429}\)Step-by-step explanation:
\(\mathrm{x + 12.23 = 28.659}\)
Subtract 12.23 from both sides:-
\(\mathrm{x=28.659-12.23}\)
Simplify :-
\(\mathrm{x=16.429}\)
___________________
-Hope this helps!
Verify that the intermediate value theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x) = x2 4x 2, [0, 9], f(c) = 23 c =
The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.
Especially, he has been credited with proving the following five theorems: a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same; the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.
In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.
In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a theorem and is maximum extensively used in the domain of science.
2-1and interval = [4]
since function text is continuous in a given interval. And also
+(4) = 42+4 = 4-1
20 = 6667
$(5/4) = ($145/2
stone-1
= 5.833
simple, f(4) > $(5/2), hence Intermediate
Theorem & applies to the indicated proved.
Now,
= 6 C-1
C-5c +6 = 0
C=2 or c=3
1=3 or
C= 2, 3
<= 2
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jaffar bought 5 books. the prices of 4 of the books are $15, $16, $17, and $19. the average he paid for the 5 books is $17. how much did he pay for the fifth book?
Answer:
$18-----------------------
The average price Jaffar paid for the 5 books is $17.
To find the total cost of the 5 books, we multiply the average price by the number of books:
$17 * 5 = $85Now, we'll add up the prices of the first four books:
$15 + $16 + $17 + $19 = $67Finally, we'll subtract the sum of the first four books from the total cost to find the price of the fifth book:
$85 - $67 = $18So, Jaffar paid $18 for the fifth book.
Scientists use the Logistic Growth function P(t) =PoK/Po+(K-Po)e^rot
to model population growth where Po is the population at some reference point, K is the carrying capacity which is a theoretical upper bound of the population and ro is the base growth rate of the population.
Write a logistic growth function for the world 1999 (t=0) reached 6 billion, K=15 billion and r0= 0.025 per year.
The required answer is P(t) = 9.0066 billion / 1 + (15 billion - 9.0066 billion) e^(0.025 * t)
The Logistic Growth function is:P(t) = PoK / Po + (K - Po) e^(r0*t)
Where,Po is the population at some reference point
K is the carrying capacity of the population
ro is the base growth rate of the population
Given that for the year 1999, t = 0 and the population was 6 billion, carrying capacity K = 15 billion, and base growth rate ro = 0.025 per year.Po = 6 billion K = 15 billion r0 = 0.025
We substitute these values into the logistic growth function:
P(t) = PoK / Po + (K - Po) e^(r0*t)
P(t) = 6 billion * 15 billion / 6 billion + (15 billion - 6 billion) e^(0.025 * 0)P(t) = 90 billion / 15 billion + 9 billion
P(t) = 99 billion / 15 billion + 9 billionP(t) = 6.6 + 9 billion = 9.0066 billion
So, the logistic growth function for the world when it had 6 billion people in 1999 with carrying capacity K = 15 billion and base growth rate ro = 0.025 per year is:
P(t) = 9.0066 billion / 1 + (15 billion - 9.0066 billion) e^(0.025 * t)
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Plz help badly need help plz
9514 1404 393
Answer:
dividemultiply49Step-by-step explanation:
In each case, you divide by the coefficient of x. Here, dividing by -1/7 is the same as multiplying by -7.
The first two answers are correctly chosen.
___
Then the ratio of the solutions is 63.7/1.3 = 49, easily calculated from the numbers given.
The second solution is 49 times the first.
Please help, I'm lazy.
Answer:
Hi
Step-by-step explanation:
The school that Rob goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 adult tickets and 4 child tickets for a total of $89. The school took in $119 on the second day by selling 7 adult tickets and 14 child tickets. Find the price of an adult ticket and the price of a child ticket.
Best answer gets brainliest.
Answer:
20 ft
Step-by-step explanation:
the 6 ft persons shadow was reduced by a factor of 4 for the flagpole shadow being 5 ft long just multiply by 4 to get 20 because 20/4=5
I don't understand how to do it
Answer:
3×2=6,3×3=9,3×4=12,3×34=102
Step-by-step explanation:
so here u have to times 3 by 1 to 34 to get the answer example 3×5=15,3×6=18,3×7=21,3×8=24,3×9=27,3×10=30,3×11=33,3×12=36 you have to use this method to get the answer by multiplying 3 by 1 to 34.Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4
Answer:
4.0833333
Step-by-step explanation:
PLZ give brainliest thanks
Will pythagoras theorem hold true for this triangle? Give reason for you answer
Image above! Someone please help me with this ill give you brainlist answer
Yes, Pythagoras' theorem will hold true for this triangle.
Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In the given triangle, we can see that one angle is a right angle, which means it is a right-angled triangle.
The hypotenuse is the side opposite the right angle, which is 10 cm long. The other two sides are 6 cm and 8 cm long respectively. To apply Pythagoras theorem, we need to square the length of each side and add the squares of the other two sides together.
6² + 8² = 36 + 64 = 100
√100 = 10
As we can see, the square of the hypotenuse is equal to the sum of the squares of the other two sides, which confirms that Pythagoras theorem holds true for this triangle.
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Find the mean.
3,4
Helpop
Answer:
3:4 i think
Step-by-step explanation:
3 4 is the answer
Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
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What is the range in the following data? 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4 Your Answer:
The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.
From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.
So, Minimum Value = 1.0
Maximum Value = 11.2
Range = Maximum Value - Minimum Value
= 11.2 - 1.0
= 10.2
Therefore, the range of the given data is 10.2.
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How to calculate the Perimeter of a rectangle with length 7ft and width 3ft
Answer:
Multiply each measurement by 2 then add them together
OR
Add 7 + 3 and multiply by 2
Step-by-step explanation:
Answer would be 20ft
unit 8 homework 4 geometry
Answer:
14. 44.8 feet
cos48=30/x
x=30/cos48
x=44.8
15. 2352 feet
tan12=500/x
x=500/tan12
=500/0.2126
x=2352
In △rst, what is the length of segment rt? right triangle rst with rs measuring 26 and angles r and t measure 45 degrees. 26radical 3 52 13 26radical 2
Answer:
26√2
Step-by-step explanation:
In right triangle RST with RS measuring 26 and angles R and T measuring 45 degrees, we can use the Pythagorean theorem to find the length of segment RT. Since angle R is 45 degrees, we know that angle S measures 90 - 45 = 45 degrees as well. Therefore, triangle RST is an isosceles right triangle. Using the Pythagorean theorem, we have RT^2 = RS^2 + ST^2 = 26^2 + 26^2 = 2(26^2) = 1352. Therefore, RT = √1352 = 26√2.
yw;)
A cube of edge length 3 units has each face painted orange. The cube is then cut into 27 unit cubes. How many of these unit cubes have exactly two faces painted orange
Answer:
12
Step-by-step explanation:
A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
A test for intelligence is developed. If a person is intelligent, the test will say so 98% of the time. The probability of intelligence is 60% and the probability of a positive test is 75%. Person A takes the test, and it is positive for intelligence. Given that outcome. and the below equation, identify and label P(E),P(H),P(E∣H) and calculate P(H∣E) to determine the probability that Person A is intelligent? (Express answers in proportions, round values to three decimal places). P(H∣E)=
P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)
P(E|H) = 0.98 (positive test given intelligence)
P(H|E) = 0.784 (intelligence given a positive test)
Let's break down the information given and identify the relevant probabilities:
P(E) represents the probability of a positive test, which is given as 75% or 0.75.
P(H) represents the probability of intelligence, which is given as 60% or 0.60.
P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.
We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.
Using Bayes' theorem, we can calculate P(H|E) as follows:
P(H|E) = (P(E|H) * P(H)) / P(E)
Substituting the given values:
P(H|E) = (0.98 * 0.60) / 0.75
P(H|E) ≈ 0.784
Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.
In summary, the probabilities are:
P(E) = 0.75 (Probability of a positive test)
P(H) = 0.60 (Probability of intelligence)
P(E|H) = 0.98 (Probability of a positive test given intelligence)
P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)
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P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)
P(E|H) = 0.98 (positive test given intelligence)
P(H|E) = 0.784 (intelligence given a positive test)
Let's break down the information given and identify the relevant probabilities:
P(E) represents the probability of a positive test, which is given as 75% or 0.75.
P(H) represents the probability of intelligence, which is given as 60% or 0.60.
P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.
We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.
Using Bayes' theorem, we can calculate P(H|E) as follows:
P(H|E) = (P(E|H) * P(H)) / P(E)
Substituting the given values:
P(H|E) = (0.98 * 0.60) / 0.75
P(H|E) ≈ 0.784
Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.
In summary, the probabilities are:
P(E) = 0.75 (Probability of a positive test)
P(H) = 0.60 (Probability of intelligence)
P(E|H) = 0.98 (Probability of a positive test given intelligence)
P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)
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Which number is a solution of |9-x|=9+x ? (F) -3 . (G) 0.(H) 3. (I) 6.
The solution to the given equation |9 - x| = 9 + x represented by the value of x given by option G. x = 0 .
To find the solution(s) to the equation |9 - x| = 9 + x,
consider the different cases based on the sign of (9 - x).
If (9 - x) is positive or zero, the equation becomes 9 - x = 9 + x.
Solving this equation,
9 - x = 9 + x
-2x = 0
x = 0
So, x = 0 is a solution.
If (9 - x) is negative, the equation becomes -(9 - x) = 9 + x.
Solving this equation,
-9 + x = 9 + x
-9 = 9
This equation is not true for any value of x, so there are no solutions in this case.
Therefore, the value of x representing only solution to the equation |9 - x| = 9 + x is x = 0 , the correct choice is (G) 0.
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If $m$ workers can complete a job in $d$ days, how many days will it take $n$ workers, working at the same rate, to complete one-third of the job
The one-third of the job will take md/3n days. The result is obtained by using the concept of inverse proportion.
What is inverse proportion?
Inverse proportion is a proportionality relationship when one value increases and the other decreases.
Assuming that the workers are working at the same rate, the more workers will complete the job more quickly. It means the more workers that do the job, the less time needed. We use inverse proportion to solve this problem.
We have workers and time to complete a job. Let's say e is the time for n workers to complete the job.
m workers work d days.n workers work e days.By the inverse proportion concept, we get
m/n = e/d
e = md/n days
To complete one-third of the job, they need
⅓e = ⅓ (md/n)
⅓e = md/3n
Hence, it will take md/3n days to complete the one-third of the job.
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For each of the bookcases a woodworker is building, she
charges $65 for materials. She also charges $35 for each
hour she works to build the bookcases. How much does
the woodworker charge for working 100 hours to build 18
bookcases?
A$4,735
B$3,565
C$3,583
D $4,670
35x100 hours = $3500+$65= $3565 for 100 hours of work and materials.
answer is b
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