Answer:
the answer is 12
Step-by-step explanation:
if x = 3+2 root 2 then find x- 1/x
Answer:
We know that:
x = 3 + 2*√2
And we want to find the value of:
[tex]x - \frac{1}{x}[/tex]
First, we can rewrite the above expression as:
[tex]x - \frac{1}{x} = \frac{x^2}{x} - \frac{1}{x} = \frac{x^2 - 1}{x}[/tex]
Now we can replace the value of x by the one above, we will get:
[tex]\frac{x^2 - 1}{x} = \frac{(3 + 2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} } = \frac{3^2 + 2*2*\sqrt{2} + (2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} }[/tex]
Now we can simplify this to get:
[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} }[/tex]
We could finally compute that last equation, to get:
[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} } = 3.716[/tex]
What is 2 + 2 I'm in 11th grade and my teacher gave me this question?
Answer:
2+2=4
Step-by-step explanation:
I don't even know why this is a question
Answer:
2+2 is 4 ok tell ur thecher it is four
Step-by-step explanation: lol
follow the picture this is confusing
Step-by-step explanation:
This is a familiar conversion problem:
[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]
[tex] = 1.95 \times {10}^{15} \: miles[/tex]
Answer:
see below
Step-by-step explanation:
3.3 × 10^2 light years
one light year is 5.9 × 10^12 miles
you need to multiple these two values
3.3 × 10^2 light years × 5.9 × 10^12 miles/light year =
= (3.3 × 5.9) × 10^2 × 10^12
= 19.47 × 10^(2 + 12)
= 1.947 × 10^1 × 10^14
= 1.947 × 10^15 miles
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
9514 1404 393
Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·v
where P is the given point and v is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
__
If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
A circle is centered about the point (2, 0). The point (0, 1) is on the circle. Which statement proves that the point (4, 1) is also on the circle?
Answer:
Step-by-step explanation:
the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:
r^2=0^2+4^2
r^2=16
r=4
so we can check that the other point is four units from the origin and thus also on the circle...
d^2=2^2+6^2
d^2=4+36
d^2=40
since d^2>r^2, (2,6) is outside the circle
Find the area of the figure
area: units2
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
SELECT ALL THAT APPLY
Which of the following are INDEPENDENT events?
a.) You randomly choose 2 socks from a drawer, hoping they will match.
b.) You draw a marble from a bag, replace it, and draw again.
c.) You draw two numbers from 1 to 10 from a hat without replacing the first.
d.) You flip a coin and roll a number cube.
Answer:
A
Step-by-step explanation:
I hope this helps.
Have a good day :)
a.) You randomly choose 2 socks from a drawer, hoping they will match.
what is the permiter of the figuere
Answer:
68.7
Step-by-step explanation:
ASAP PLSS HELPPP!!!!!! If the area of a triangle is 78 square meters and the height of this triangle is 13 meters, what is the length of the base of this triangle?
A)None of these answers are correct
B)32.5 m
C)507 m
D)1,014 m
E)12 m
Answer:
E. 12 m
Step-by-step explanation:
b = 2×A/h
= 2×78/13
= 156/13
= 12 m
y=3x²+3x+1,find the value of the discrimination
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
Solve these 2 parts please. 1 by 1 solve these two.
the table below shows some inputs and outputs of the invertible function f etc
Answer:
[tex](a)\ f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)=0[/tex]
Step-by-step explanation:
Given
The attached table
[tex](a)\ f^{-1}(-15)[/tex]
This represents an inverse function.
So, we look into x row for its value.
i.e.
[tex]f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)[/tex]
Just like (a)
[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows
[tex]f(9) = 11[/tex]
So:
[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]
[tex]f^{-1}(4) + f(9)=0[/tex]
In the diagram below, a right circular cone with a radius of 3 inches has a slant height of 5 inches, and a right cylinder with a radius of 4 inches has a height of 6 inches. Determine and state the number of full cones of water needed to completely fill the cylinder with water.
this is the correct answer
The number of full cones of water needed to completely fill the cylinder with water is 8 cones.
What is Volume of cylinder?The Volume of Cylinder is, V= πr²h
where r is the radius, h is the Height of cylinder.
Given:
Cylinder:
Height= 6
Radius = 4
Volume of cylinder = πr²h
= πx 4 x 4 x 6
= 96π in³
and, Cone:
Radius = 3
l = 5
h= √5²-3²
h = √25-9
h= √16
h= 4 inch
So, Volume of Cone = 1/3 πr²h
= 1/3 x π x 3 x 3 x 4
= 12π in³
Thus, number of full cones of water needed to completely fill the cylinder with water
= 96π in³/ 12 π in³
= 8 cones
Learn more about volume of cylinder here:
https://brainly.com/question/16134180
#SPJ2
i need help with this
Step-by-step explanation:
=> V = 4/3 π r³
=> V1 : V2 = r³ : r'³
=> 1³ : 5³
=> 1 : 125
find the slope between the pair of points.
through: (1,-3) and (2,3)
Answer:
6
Step-by-step explanation:
Slope = delta y/delta x
[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]
Slope = (-3-3)/(1-2)
Slope = -6/-1
Slope = 6
Answer:
6
Step-by-step explanation:
Given :-
Two points (1,-3) and (2,3)And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.
Substituting the respective values :-
[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂
[tex]:\implies[/tex] m = -3 -3 / 1 - 2
[tex]:\implies[/tex] m = -6/-1
[tex]:\implies[/tex] m = 6
Hence the slope of the line is 6.
Cindy's soccer team played 20 games this
season. They won 60% of their games
and lost the rest. What was their record
of wins and losses?
Answer:
Wins: 12
Losses: 8
Step-by-step explanation:
60% of 20 is 20 x 0.6 = 12
20 - 12 = 8
Find Hypotenuse HELP
Answer:
use this formula
1 no .H^2=p^2+b^2
H^2=8^2+15^2
H^2=64+225
H^2=289
H=[tex]\sqrt{289}[/tex]
H=17
2 no. H^2=P^2+B^2
H^2=20^2+21^2
H^2=400+441
H^2=841
H=[tex]\sqrt{841}[/tex]
H=29
Step-by-step explanation:
Hope this helps u!!
Answer:
pythagoras therom
a) square root 8²+15²=17
b)square root 20²+21²=29
PLS HELLP ILL GIVE YOU BRAINALIST
Answer:
88 units
Step-by-step explanation:
The required perimeter is 88 units.
Find the value of x..
a. 20.6
B. 11.2
C. 125
D. 19.4
Answer:
11.2
Step-by-step explanation:
11.2 is the only one that looks reasonable if you're considering the length of it lol
5 × ( 1/3 + 2/5 ) peealse i nedd a answer quick
Answer:
11/3 as improper fraction
3 2/3 as proper fraction
Step-by-step explanation:
5 × ( 1/3 + 2/5 )
use common denominator of 15
5 × ( 5/15 + 6/15 )
Add
5 × ( 11/15)
Reduce
1 × ( 11/3)
11/3
as a proper fraction
3 2/3
Answer:
3.666666667
Step-by-step explanation:
= 5 (1/3 + 2/5)
= (5 (1/3)) + (5 (2/5))
= (1.666666667) + (2)
= 3.666666667
Hope this helps :)
ILL GIVE BRAINLIEST!! please answer this and tell me how you got it for the calculations on the side. there's also a bonus question- "how far is it from the tip of the flag pole to the tip of the shadow" please answer that if you can and show work too. NO BITLY thank you!
Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
Cameron's father wouldn't allow her to play with her friends until her room was spotless. Cameron hated cleaning; it was boring. She sat on her bed, taking in the chaos that surrounded her. There were piles of books on her desk, her bed was unmade, and her clean laundry sat in a basket by the door. It would take forever to tidy this room! Suddenly, Cameron had a brilliant idea. She rummaged through her sports bag and found a stopwatch. She would turn the chore into a game by timing herself. Cameron started the timer and buzzed frantically about the room, putting clothes and books away before making the bed. About fifteen minutes later, her room was completely organized. Satisfied with her time, she now needed her father's approval. Upon inspection, Cameron's father seemed happy with the results. With her chores complete, Cameron raced outside to meet her friends.
One conflict in the story is that
(Links to an external site.)
A) Cameron does not think her room is messy.
B) Cameron does not want to clean her room.
C) Cameron's friends are waiting for her.
D) Cameron's father is upset with her.
Answer:
B
Step-by-step explanation:
how is that mathematics ?
this is psychology or something related.
A is clearly wrong. she knows it is messy.
C is not a conflict. this is the precondition for the conflict.
D no, that is nowhere stated. wrong.
that leaves B if it was not clear from the beginning.
Find the greatest common factor of 12 and 32.
A) 9
B) 12
C) 6
D) 4
Answer:
4
Step-by-step explanation:
Answer:
12 = 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2
Greater Common Factor = 2 × 2 = 4
The side of square is 5 meters find the area of square?
Answer:
Area = 25m²
Step-by-step explanation: A=a²=5²=25m²
Answer:
25m²
Step-by-step explanation:
Simply multiply the number of total sides of the shape(4) and the measurement of each side (5m)
4 sides x 5 meters = 25m²
always put m² after your final answer
PLEASE HELP ITS URGENT I DONT UNDERSTAND THIS UNIT
srry i believe my answer was wrong i solved instead of simplifying sorry
s
Step-by-step explanation:
Answer:
[tex]\frac{-2cos(x)sin(x)}{(1-sin^2(x))}[/tex] = -2tanx
Step-by-step explanation:
The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm
Pls answer fast
Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196
196 + 280 = 476
Final answer = 476
5^-8 times 5^4 simplified
Answer:0
Step-by-step explanation:
Hello!
5^-8(5^4)=
5^(-8)(625)=
5^-5000= 0
Hope this helps, Have a great day!