Answers
Answer: The first diagram you selected is the correct visual representation.
Check out the diagram I posted below. The red vertical line is x = 0, aka the y axis. The blue parabola is 3x = y^2. The green horizontal line is y = 6. The region bounded by these curves is the gray shaded region.
Spinning that gray region around the y axis results in the first diagram in your answer choices. The disk in pink is a cross section to help find the volume (through the use of integral calculus).
Related Questions
a few things for it to come down to 1 question ------------------------------------------ 1:A boy cycles 20km in 140 minutes. How long would it take him to cycle 8km, at the same speed? ==== here it is 140mins over 20km, so 140/20 minutes on top --------- 2: It takes a garage owner 45 minutes to travel between his two garages 60 miles apart. Travelling at the same speed, how long would it take him to travel to his home 25 miles away? ======= here its minutes over miles, so 45/60 -------------- 3: A jet travels 320 km in 20 minutes. How far will it fly in 30 minutes? ===== here it's 320km over 20mins, so 320/20 b ------- The question: why is it that minutes are on top of miles despite it being a smaller number, when km is just whatever is larger?
Answers
Step-by-step explanation:
For number 1, the rate is 20km/140min
So you divide so the rate becomes 1km/(?)
20/20=1
140/20=7
1km/7min
Then to get it to 8km/(?) multiply both sides by 8
1x8=8
7x8=54
8km/54min
Answer: It would take him 54 min to cycle 8km
The weight of a patient is 178lb to the nearest half pound
Answers
Step-by-step explanation:
the answer is 177.75 lb; 178.25 lb
Answer:
I believe the question is asking what it was before it was rounded to 178.
Your answer is 177.5lb
Step-by-step explanation:
A half pound is 0.5lb. After 5 or 0.5 you always round up. So rounding 177.5lb to the nearest half pound would be 178lb. Hope this helps!
I need help please.
Answers
Answer:
87,025
Step-by-step explanation:
17550-20525. just subtract
Find the midpoint between the pair of points. (-1, -5) and (-5, 9)
Answers
Answer:
Step-by-step explanation:
(-1-5)/2 = -6/2= -3
(-5+9)/2 = 4/2 = 2
(-3, 2)
Which is the graph of f(x) = squared x?
Answers
Question 2
BC = 11
AC = 3x + 3 AB = -1 + 2x
B is between A and C. Find x
Answers
Answer:
x=6
Step-by-step explanation:
If b in in the middle of A and C then you would set AB equal to BC and solve
Answer:
the answer is 7 not 6
Step-by-step explanation:
Find the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.
Answers
Answer:
37 is the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.
Step-by-step explanation:
First we will find the prime factors of 247:
247 = 13 x 19 (which are both prime).
So now we need to find a number (the smallest one) that is of the form (n)(n+1)(n+2) (the product of three consecutive numbers) and that is divisible by both 13 and 19 (and therefore divisible by 247)
Let's take a look at the multiples of 13: 13, 26, 39, 52...
Let's take a look at the multiples of 19: 19, 38, 57...
We can see that the first time we have two multiples close together are the 38 (for 19) and the 39 (for 17).
So, if our number has both 38 and 39 as factors, then it will be divisible by 247.
However, we need not two but three consecutive numbers, and since we want the number to be the smallest positive integer, we will add 37 (since our other choice would be to add 40 and that would make the number bigger) and thus our number is (37)(38)(39) or in other words (37)(37 + 1)(37 + 2) and therefore this is the smallest positive number such that n(n+1)(n+2) is divisible by 247.
The smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.
n(n+1)(n+2) is divisible by 247
Then, n(n+1)(n+2) =247k, where k is an integer
so, [tex]k = \frac{n(n+1)(n+2)}{247}[/tex]
What is an integer?An integer is a number that is not a fraction but a whole number.
Since the prime factors of 247 are 19 and 13.
By hit and trial let us choose the value of n such that n *(n+1) or (n+1) *(n+2) or n *(n+2) become the multiples of 19 *13.
If n = 37
n+1 = 38
n+2 = 39
So, if n=37, ( n+1 )*(n+2) will get divided by 19*13
So, the smallest possible integer 'n' will be 37.
Therefore, the smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.
To get more about the number system visit:
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what effect does the value 35.6 have on the measures of central tendency for the data in the left column?
a. the mean will be higher than the median and mode
b. the mean would be higher than the mode but lower than the median
c. the mean will be lower than the median and mode
d. the mean will be higher than the median but lower than the mode
Answers
Answer: the mean will be higher than the median and mode
Step-by-step explanation:
It's A for apex users
Evaluate the expression.
11 +4•\•2
Answers
Answer:
13
Step-by-step explanation:
→ Complete the division first
4 ÷ 2 = 2
11 + 2
→ Add
13
Albert and John are partners in a Bakery store. They needed $70,000 to start the business. They
invested in the ratio 3:7, respectively. How much did Albert invest in the business? How much did John invest in the business?
Answers
Answer:
Albert invested $21,000
John invested $49,000
Step-by-step explanation:
First add 3 and 7
3+7=10
Now divide 70,000 by 10
70,000/10=7000
Now multiply 7000 by 3 and 7
7000x3=21,000
7000x7=49,000
Hope this helps! Plz award Brainliest : )
Find the greatest number which divides 16 997 and 64 892 leaving 2 as the remainder of
each case
Answers
Answer: 8,497.5
32,445
Step-by-step explanation:
The water level at Lake Willow was -14 feet. After 3 days of rain, the water level rose by 23 feet. What is the water level after the
rain?
Answers
23 - 14 = 9 so 9 feet
Use the quadratic formula to solvex^2-4x+3.
Answers
Hey there!
[tex]Answer:\boxed{x=3,1}[/tex]
[tex]Explanation:[/tex]
x^2 - 4x + 3
If you want to solve using quadratic formula, you have to find a, b, c to find x.
x = 3,1
Hope this helps!
Evaluate the expression 29-3(9-4)
Answers
Answer:
14
Step-by-step explanation:
PEMDAS - First Do Parentheses
29-3(5)
Then Do Multiplication
29-15
Then Finish with Subtraction
14
The value of the expression is 14.
We have,
Expression:
29 - 3 ( 9 - 4)
Remove the parenthesis.
29 - 3 x 9 + 3 x 4
29 - 27 + 12
Subtract and add the values.
14
Thus,
The value of the expression is 14.
Learn more about expressions here:
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What is 6.47 rounded to the nearest tenth?
Answers
Answer:
Step-by-step explanation:
This is how to round 6.47 to the nearest tenth.
First note that 6.47 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 6
Fractional Part: 47
To round 6.47 to nearest tenth means to round the numbers so you only have one digit in the fractional part.
- The water level at Lake Willow
was - 14 feet. After 3 days of rain,
the water level rose by 23 feet.
What is the water level after the
raina
Answers
Answer:
The water level at Lake Willow is 9 feet after the rain
Step-by-step explanation:
Simply add 23 and -14
-14+23=9
Hope this helps
Simplify the expression: 2(–1 − 6s)
Answers
Answer:
-2-12s
Step-by-step explanation:
distributive property
Pedro has $2.30 in his pocket What FRACTION is equivalent to the amount of money in Pedro's pocket? Simplify
Answers
230/100
Divide both denominator and numerator by 10 so now it’s 23/10
23/10 simplified is 2 3/10 as a mixed number
Hope this helped! Have a nice day or night :)
Write 21/99 as a decimal. Do not forget to reduce to the lowest term.
Answers
Step-by-step explanation:
[tex] \frac{21}{99} \\ = \frac{7 \times 3}{33 \times 3} \\ = \frac{7}{33} \\ = 0.212121212... \\ \frac{21}{99}= 0. \overline{21}[/tex]
Whats the pattern: 1, 1/4, 1/9, 1/16, 1/25
Answers
Answer:
squares of the reciprocals of natural numbers
Step-by-step explanation:
The numbers are squares of the reciprocals of successive natural numbers.
1 : (1/1)^2 = 1
2 : (1/2)^2 = 1/4
3 : (1/3)^2 = 1/9
4 : (1/4)^2 = 1/16
5 : (1/5)^2 = 1/25
Answer:
squares of the reciprocals of natural numbers
Step-by-step explanation:
Please help me with this question.
Answers
Answer:
5 hours
Step-by-step explanation:
Arrival Time in Victorian time = 4 - 3 = 1pm
Flight time = 13 - 6 = 5 hours
Day 1 2 3 4 Number of Plants 3 8 5 ? Ethan is counting the number of new plants that appear in his garden each day. The numbers so far are shown in the table. Which number of plants on day 4 will give Ethan’s data a mean absolute deviation of 1.5? A) 3 B) 4 Eliminate C) 5 D) 7
Answers
Answer:
b) 4
Step-by-step explanation:
4 is the solution. There is more than one way to solve this problem. The easiest way may be to check each choice. Plug in each choice for day 4 and solve for the mean absolute deviation.
The length of a rectangle is 3 less than 4 times the width. If the perimeter is 90 cm, what is the width? What is the length?
Answers
x+(4x-3)=90.
5x-3=90.
5x=93.
x=18.6.
HELP PLEASE -2x -10 = -14x-7
Answers
Answer:
1/4
Step-by-step explanation:
We can isolate x:
-2x + 14x = -7 + 10
12x = 3
x = 3/12 = 1/4
So
-2x+14x = -7+10
12x = 3
So then rearrange
X= 12/3
X=4
Which of the following is a radical equation?
x+ √5 = 12
y2 = 16
3+x7 = 13
7VX = 14
Answers
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.
here, we have,
According to the task content;
It follows that we are required to determine the equation which is a radical equation.
here, we have,
given that,
we have to find the radical equation.
now, we know that,
On this note, the required equation is 7 √x = 14 because the variable is under a radical.
Read more on radical equation;
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What is the value of -3 to the power of four?
Answers
Answer:
-81
Step-by-step explanation:
-3 to the power of 4 is -81.
-3 * -3 * -3 * -3 = -81
Tony and Sue start riding running 24 miles apart from each other and meet after 2 1/2 hours of running. If Tony ran 2 mph faster than Sue, how fast were both running? How do I set up this problem?
Answers
How many gallons of gas have been used when the car has been driven for a half mile?
Answers
Answer:
15.5
Step-by-step explanation:
You divide 62 by 2 which gives you 31 which means the car is going 31 mph. Then you divide 31 by 2 again and you get 15.5.
15.5
+15.5
-------
31.0
Hope I helped!!!
Find D if c = 245
245 = 25d + 45
SHOW YOUR WORKING
FIRST TO ANSWER GETS BRAINLIEST
Answers
Answer:
8
Step-by-step explanation:
Use the rule in algebra: change side,change sign... (when you move a digit, see whether it's +,-,× or ÷ and work out the opposite to get the letter on its own.
Answer:
the answer is 8 working out is shown below
solve 5x-2+x=-20 ( Adding this to just make the 20 character requirement.)
Answers
Answer:
x= -3
Step-by-step explanation:
[tex]\text{Hello there! :)}[/tex]
[tex]\large\boxed{x = -3}[/tex]
[tex]5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3[/tex]
