Answer:
1/6 < 1/3 < 1/2 < 2/3
Step-by-step explanation:
We can turn the following to decimal;
1/6 = 0.16666666666
2/3 = 0.66666666666
1/2 = 0.5
1/3 = 0.33333333333
0.16666666666 < 0.33333333333 < 0.5 < 0.66666666666
Thus, from least to greatest is 1/6 < 1/3 < 1/2 < 2/3
~Learn with Lenvy~
What is the range? 6 7 8 7 10
Step-by-step explanation:
Range -6
Range is a higherd number
10-4=6
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answer:
9.852
Step-by-step explanation:
First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].
The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).
Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.
For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1 is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.
Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].
2x-7/2 = x+3/3 please help me
Answer:
x=4.5
Step-by-step explanation:
2x− 7/2 =x+1
2x− 7/2- x=1
x-7/2=1
x= 1+7/2
x=2/2+7/2
x= 2+7 is numerator and 2 is the denominator
x= 9/2
9/2 = 4.5
A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?
Answer: 22.44$
Step-by-step explanation:
1. 30 x 0.20 = 6
2. 30 - 6 = 24
3. 24 x 0.065 = 1.56
24 - 1.56 = 22.44$
250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize
Total number of tickets sold = 250
Number of prizes = 5
Number of favorable outcomes = 5
[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]
[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]
Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty four tiles in total. How many of them are green?
Answer: I think the answer is 18
Find the surface area of the cube.
[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].
To Find:-[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]
Formula Used:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]
Solution:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
__________________________________
Hope it helps you:)
Answer:
Step-by-step explanation:
there are 6 square faces of a cube.
if side=x
surface area=6x²
=6(1/3)²
=6/9
=2/3 square foot
How can i prove this property to be true for all values of n, using mathematical induction.
ps: spam/wrong answers will be reported and blocked.
Proof -
So, in the first part we'll verify by taking n = 1.
[tex] \implies \: 1 = {1}^{2} = \frac{1(1 + 1)(2 + 1)}{6} [/tex]
[tex] \implies{ \frac{1(2)(3)}{6} }[/tex]
[tex]\implies{ 1}[/tex]
Therefore, it is true for the first part.
In the second part we will assume that,
[tex] \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} = \frac{k(k + 1)(2k + 1)}{6} }[/tex]
and we will prove that,
[tex]\sf{ \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}[/tex]
[tex] \: {{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 2) (2k + 3)}{6}}[/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} + \frac{(k + 1) ^{2} }{6} [/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6} [/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}[/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6} [/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6} [/tex]
[tex]{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6} [/tex]
Henceforth, by using the principle of mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n.
_______________________________
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Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Answer:
he can buy 8 of lilies and 12 of rose and 48 of daisies
Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.
According to the question
x+y+z = 24......(1)
3x+2y+0.5z = 24.......(2)
Here, we have three variables but only two equations.
2(2)-(1) gives, 5x+3y = 24......(3)
Since, x, y and z can take only integer values.
What are integers?Numbers that are not fractions called integers.
So, from (3) only x=3 and y=3 is possible
So, z= 24-x-y
z=24-3-3 = 18
So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
To get more about linear equations visit:
https://brainly.com/question/14323743
f(x)=−2x+3; Domain: {−1,0,2}
Find the range of the function for the given domain.
Answer:
Range: 1,3,7
Step-by-step explanation:
(-1,1),(0,3),(2,7)
2(-1)+3
2(0)+3
2(2)+3
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
a. How much of the sample will remain after 6 years?
Answer:
0.75mg
Step-by-step explanation:
6 years is its half life, meaning that half of it will have iradiated by that point. 1.5 / 2 = 0.75
3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?
A.
20 grapes
B.
60 grapes
C.
80 grapes
D.
90 grapes
Answer:
C. 80 grapes
Step-by-step explanation:
6 / 3 = 2
Each person gets 2 pounds of grapes.
2 X 40 = 80
1 pound = 40 grapes
2 pound = 80 grapes
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]- 10(2) + y = 4[/tex]
[tex] - 20 + y = 4[/tex]
[tex]y = 24[/tex]
For x=1[tex] - 10( 1) + y = 4[/tex]
[tex] - 10 + y = 4[/tex]
[tex]y = 14[/tex]
For x=0[tex] - 10(0) + y = 4[/tex]
[tex]0 + y = 4[/tex]
[tex]y = 4[/tex]
For x=-1[tex] - 10( - 1) + y = 4[/tex]
[tex]10 + y = 4[/tex]
[tex]y = - 6[/tex]
For x=2[tex] - 10( - 2) + y = 4[/tex]
[tex]20 + y = 4[/tex]
[tex]y = - 16[/tex]
Answer:
-2 = -16
-1 = -6
0 = 4
1 = 6
2 = 16
Step-by-step explanation:
If 12%of X is 306, what is X equivalent to?
Answer:
X = 2550
Step-by-step explanation:
Convert 12% to a decimal:
⇒ 12% = 12/100 = 0.12
12% of X is 306
⇒ 0.12X = 306
⇒ X = 306 ÷ 0.12
⇒ X = 2550
Answer:
2550
Step-by-step explanation:
Given expression: 12% of x is 306
We can make the following points of the expression:
1. The word "of" means multiplication (×).
⇒ 12% × x is 3062. The percent is always divided by 100 in fraction.
⇒ 12/100 × x is 3063. The word "is" means equal or equivalent.
⇒ 12/100 × x = 306Now, let's simplify the expression.
⇒ 12x/100 = 306
⇒ 12x = 306 × 100
⇒ 12x/12 = 306 × 100/12
⇒ x = 51 × 50 = 2550
if <1 and <2 are vertical angles. If m<1=(5x +12) and m<2=(6x-11), find m<1
Answer:
its 23
Step-by-step explanation:
The price of a used car that Billy is buying is $5,000. If he has to pay 8% in taxes, how much will be have to pay for the car including taxes?
Answer:
5400
Step-by-step explanation:
8% of 5000 is 400. 5000 + 400 - 5400.
Answer:
$5400
Step-by-step explanation:
We need to find the amount of tax in $
So, if 100% = $5000
8% = ?
cross multiply to be : 8 × 5000
100
to get $400
Add it to the $5000 to get $5400
1. Whats the answer for this X + 2x + 8 = X = 10 + 6
2. Whats the answer for this X + 3 + 2x = X + 10 + 3
3. Whats the answer for this 5x + 2 = 2x + 10 + 4
4. Whats the answer for this 2x + X + 4 = 4x + 1
Answer:
The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps
Step-by-step explanation:
Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
Answer:
Beach parking lot is the right answer.
Step-by-step explanation:
the beach parking is near the beach refreshment stand.
pls mark branliest.
I need help on this question
Answer:
wow that is a tough one the answer is 438654
Step-by-step explanation:
all that is to it
A missionary used his plane to take an injured girl 855 kilometers to the hospital. If he flew at an average speed of 171 kilometers per hour, how long did it take to reach the hospital?
Step-by-step explanation:
171 km/h
travel distance = 855 km
855 / 171 = 5 hours
it took him 5 hours to fly the 855 km (theoretically to the hospital).
normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.
so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.
Compute the expected number of tests necessary for each group.
Expected number for each group:
solve plssss before i dieee i give points
Answer:
should be 66% of children and 1650 children in the town
Step-by-step explanation:
a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters
Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other
I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.
Answer:
The angles are not congruent
Step-by-step explanation:
This is because the two triangles show angle angle angle and that does not prove triangle congruency.
Diana can earn money for the tickets she sells. Which of the following statements describes the variables in this situation correctly?
The amount of money earned is the independent variable because it affects the number of tickets sold.
The amount of money earned is the dependent variable because it affects the number of tickets sold.
The number of tickets sold is the independent variable because it affects the amount of money earned.
The number of tickets sold is the dependent variable because it affects the amount of money earned.
Answer:
Option 3 is the correct answer.
Answer: The number of tickets sold is the independent variable because it affects the amount of money earned.
Step-by-step explanation: I just took test got 100%
The number of tickets sold is the independent variable because it affects the amount of money earned.
Simplify.
Write without exponents.
Answer:
First one: 27
Second one: 1/8
Step-by-step explanation:
Hope this helps! :)
A student buys batteries online. The batteries are sold in boxes of 24. Each order has a $5.00 shipping cost regardless of the number of batteries. The table shows the total cost for an order of different numbers of batteries. What is the total cost of an order of 144 batteries?
Answer:
You didnt give the chart so there for I can not give you a good answer
Step-by-step explanation:
hi! i need help finding the area of this shape! thank you
Answer: 7.5
Step-by-step explanation:
5x3 = 15 A = 1 half L x H
A = (3)(5)
A = 15
A = 15 x 1 half = 7.5
correct me if i am wrong.
How far could the Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour?
Answer 19.35 km
Step-by-step explanation:
We are looking for the Distance that Apostle Paul walked in 4.5 Hours!
I will be using the formula Distance=rate*time 1)
We DONT know the distance so I'll leave it as variable "D".
We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.
Set up the following equation. D=4.3*4.5 2)
Simplify the equation above: D=19.35
I need help with this question 80 pts
Answer:
65
Step-by-step explanation:
angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.
130=2y
130/2=2y/2
65=y
Answer:
y = 65°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.
⇒ m∠2 = m∠4
⇒ 130° = 2y
⇒ y = 130° ÷ 2
⇒ y = 65°