Answer: - 24√2
Step-by-step explanation: i did the math this is what i got
Hello there!
x^2 - (1/x^2)
x = 3 - 2√2 -- (1)
1/x = 1/( 3-2√2 )
= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )
= ( 3 + 2√2 ) / 3² - ( 2√2 )²
3^2 = 9 and 2√2 ² = 8
= ( 3 + 2√2 ) / ( 9 - 8 )
= ( 3 + 2√2) -- (2)
x - 1/x = 3 - 2√2 - ( 3 + 2√2 )
= 6
= 3 - 2√2 - 3 - 2√2
= - 4√2
x² - 1/x² = ( x + 1/x ) ( x - 1/x )
= 6 × ( - 4√2 )
6 x ( -4√2 ) = -24√2
Rodrigo entrena para una maraton todos los dias sale a correr a una pista de 6 kilimetros de longitud,el lunes da dos vueltas,el martes da una vuelta y un medio,el miercoles da una vuelta y un tercio,el jueves da dos vueltas y dos quintos,el viernes da una vuelta y dos tercios,y el sabado dio dos vueltas y tres cuartos cuantos kilometros recorrio por dia
Answer:
11.65 km / day
Step-by-step explanation:
We can calculate the amount of daily kilometer in the following way
First day: 2 * 6 = 12 km
Second day: 1.5 * 6 = 9 km
Third day: 1.333 * 6 = 8 km
Fourth day: 2.4 * 6 = 14.4 km
Sixth day: 1.666 * 6 = 10 km
on Saturday: 2.75 * 6 = 16.5 km
the average per day
(12 + 9 + 8 + 14.4 + 10 +16.5) / 6 = 11.65
11.65 km/day
define composite figure
Answer:
A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.
An aquarium is designing a new exhibit to showcase clownfish and queen angelfish. The exhibit will hold a rectangular tank with length twice the size of the width, height is equal to 4 feet and total volume will equal to 500 cubic feet. What is a reasonable width of the tank to the nearest tenth of a foot?
Answer:
The width of the tank is approximately 7.9 feet.
Step-by-step explanation:
The pool is a rectangular prism with the following dimensions:
length = 2*x feet
width = x feet
height = 4 feet
With volume equal to 500 cubic feet, therefore:
volume = length*width*height = 500
(2*x)*(x)*(4) = 500
8*x² = 500
x = sqrt(500 / 8)
x = sqrt(62.5)
x = 7.90569 feet
The width of the tank is 7.9 feet.
ZB=
I
Round your answer to the nearest hundredth.
A
5
?
B
Answer:
∠B = 36.87
Step-by-step explanation:
Since you are trying to find the angle measurement, you must use the inverse of cosine: [tex]cos^{-1}[/tex] (you're using cosine because you have the opposite side and adjacent side):
[tex]cos^-1(4/5)[/tex]
≈36.87
Han's summer job paid him $4,500 last summer.
This summer, he will get a 25% pay
increase from the company.
How much will he make this summer? Explain how
you found your answer.
Katharine Pierrot
11:04 AM
This is your attendance question.
Class comments
Answer:
5,625
Step-by-step explanation:
Take 4,500 and multiply that by .25 then take that number and add the 4,500 back to it.
2 2/9 as an improper fraction
Answer:
20/9
Step-by-step explanation:
You multiply the whole number by the denominator, then you add that to the numerator and write it as 20/9.
hope this helps!
(please give brainliest) :)
An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
We have to given that;
A mixed fraction is,
⇒ 2 2/9
Now, We can simplify as;
⇒ 2 2/9
Change into improper fraction,
⇒ (9×2 + 2) / 9
⇒ (18 + 2) / 9
⇒ 20/9
Thus, An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
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A polygon has two sets of parallel lines and four right angles based on this information which of the following is true about the polygons
a it is a rectangle
b it is a trapezoid
C it is a triangle.
D it is a rhombus
Determine the intercepts of the line.
y = 10x - 32
y-intercept: (
z-intercept: (
Answer:
see below
Step-by-step explanation:
y = 10x - 32
To find the x intercept set y =0 and solve for x
0 = 10x -32
Add 32 to each side
32 = 10x
Divide by 10
32/10=10x/10
3.2 = x
To find the y intercept set x =0 and solve for t
y = 10*0 -32
y= -32
Answer:
y.(0,-32)
x.(3.2,0)
Step-by-step explanation:
[tex]\frac{3}{5} x-\frac{1}{3} x=x-1[/tex]
Answer:
As an improper fraction: [tex]15/11[/tex]
As a mixed number: [tex]1 \frac{4}{11}[/tex]
As a decimal: 1.36
Step-by-step explanation:
[tex]3/5x - 1/3x = x - 1[/tex]
Find a common denominator between 5 and 3 (15)
[tex](3 * 3) / 15x - (1 * 5) / 15 = x - 1[/tex]
[tex]9/15x - 5/15 = x - 1[/tex]
Subtract the fractions
[tex]4/15x = x - 1[/tex]
Subtract x from both sides of the equation
[tex]-11/15x = -1[/tex]
Multiply both sides of the equation by 15/-11 to simplify
x = 15/11
Hope this helps :)
Answer:
Exact Form:
x = 15/11
Decimal Form:
x = 1.36
Mixed Number Form:
x = 1(4)/(11)
Step-by-step explanation:
(3)/(5)x-(1)/(3)=x-1
Simplify (3)/(5)x-(1)/(3)x
(4x)/(15)=x-1
Move all terms containing x to the left side of the equation.
-(11x)/(15)=-1
Multiply both sides of the equation by -(15)/(11)
-(15)/(11)(-(11)/(15))= -(15)/(11) . -1
Simplify both sides of the equation.
(15)/(11)
The result can be shown in multiple forms.
Exact Form:
x = 15/11
Decimal Form:
x = 1.36
Mixed Number Form:
x = 1(4)/(11)
People attending a football game were asked what their favorite sport was biased or unbiased ??
Answer The answer is biased.
A store sells pencils and erasers. Five pencils and 10 erasers cost $1.05. Two pencils and five erasers cost 0.44 $. How much would seven pencils and seven erasers cost?
Answer:
1.33
Step-by-step explanation:
Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet. Does he need to find the area or the perimeter of the lawn if he wants to mow the entire lawn? What is the total amount of lawn that he will mow?
Answer:
For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.
[tex]A = 23ft* 25 ft = 575 ft^2[/tex]
So then Mr Doyle need to mow 575 ft^2 in order to finish the job
Step-by-step explanation:
For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.
And the area for a rectangular shape is given by:
[tex] A = lw[/tex]
Where l is the length and w the width. If we replace the info given we got:
[tex]A = 23ft* 25 ft = 575 ft^2[/tex]
So then Mr Doyle need to mow 575 ft^2 in order to finish the job
Answer:
[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]
Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn
Step-by-step explanation:
Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet.
we will have to find the area.
And the area for a rectangular lawn is Length * Breadth
A = L * B
Where l is the length and B is the width.
L = 23 square feet
B = 25 square feet
By inputting the values we get,
[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]
Therefore, Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn
$500(1+0.045)^2 -$500(1+0.04)^3
Answer:-16.4195 US$
Step-by-step explanation:
If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explai
Answer:
If I wanted to safely climb a 50 foot wall, I would use a 51 foot ladder.
Step-by-step explanation:
If I wanted to climb a fifty foot (50 ft) wall, I would use a fifty one foot (51 ft) ladder because the safe way to position a ladder against the wall requires that I leave one foot (1 ft) distance from the base of the ladder to the wall. That way, the ladder won't be too close nor too far from the wall.
Two rectangles with the same side length are always congruent
Answer:
no
Step-by-step explanation:
the length and the width in one rectangle are the same as the length and width in a second rectangle, then yes those rectangles must be congruent. If you just mean the lengths of 2 rectangles are equal, but their widths are different, then no those rectangles are not congruent.
What is the square root 25
Answer:
5
Step-by-step explanation:
you could use a calculator, but it works like this too i guess. :P also you could just try and guess, "what squared (multiplied by itself) is 25" good luck
Answer:
5 should be the answer for the square root
Will mark as brainliest if correct
Answer:
x=((log(81))/(log(3))+2)/3
Step-by-step explanation:
so what you want to do is get 3x-2 out of the exponent
you can do that by using log
so apply log to both sides and you get
log(81)=(3x-2)log(3)
the 3x-2 is moved in front of the log due to a log rule
then (log(81))/(log(3))=3x-2
(log(81))/(log(3))+2=3x
((log(81))/(log(3))+2)/3=x
then use a calculator to find the exact value
hope this helps im sorry my explanation is a bit confusing, ask any questions you have
According to a survey by the beach lifeguards, there is a 25% chance that surfers will see a dolphin while surfing. Which simulation could you use to answer questions about whether a surfer will see a dolphin?
By Probability, 0.25 is simulation could you use to answer questions about whether a surfer will see a dolphin.
What does a probability simple definition entail?
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is a measure of how likely or likely-possible something is to happen.
For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). P(heads) = 12 is the formula.
the beach lifeguards, there is a 25% chance.
25% = 1/4 = 0.25
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A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
Answer:
Length 6, Width 2
Step-by-step explanation:
6x2 = 12 = Area
6+6+2+2= 16 = Perimeter
Answer: A. 2 ft by 6 ft
Step-by-step explanation: I took the test and got it right.
Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5
You will end up with 2 answers here, substitute and solve.
Answer
Step-by-step explanation:
7a²-3b²
Replace a=4, b=2
7*4²-3*2²
= 112-12
= 100 first answer
7a²-3b²
Replace a=8, b=5
7*8²-3*5²
448-75
= 373 second answer
Ma poate ajuta cineva la acesta problema: pe o drepta g considerati punctele D, R,P si T coliniare in aceasta ordine astfel incat DR=PT=3 cm, iar RP=4cm
Answer:
Givens
[tex]DR=PT=3cm[/tex] and [tex]RP=4cm[/tex]
Points D, R, P and T are collinear.
The image attached shows a representation of this problem.
By sum of segments, we have
[tex]DT=DR+RP+PT[/tex]
Replacing all given values, we have
[tex]DT=3+4+3=10 \ cm[/tex]
Therefore, the segment DT is 10 centimeters long.
Now, we know that point E is the center of segment RP, which means is a middle point, divides the segment equally. So, to prove that segment DT is symmetrical regarding point E, we need to prove that both sides are equal.
[tex]RE=EP=2cm[/tex], by definition of middle point.
By sum of segments, we have
[tex]DR+RE=3+2=5cm\\EP+PT=5cm[/tex]
Which means [tex]DR+RE=\frac{DT}{2}\\ EP+PT=\frac{DT}{2}[/tex].
Therefore, segment DT is symmetrical regarding point E.
Financial Literacy: Question 2Gordon opened a savings account with an initial deposit of $1,200.His balance will earn 2.5% simple interest overy year, Balley openeda savings account with an initial deposit of $900. Her balance willearn 3.25% interest compounded annually. The deposits were madeon the same day, and no additional money will be deposited orwithdrawn from the accounts. Which statement about the balances ofGordon's account and Balley's account at the end of 6 years is true?
Answer:
In 6 years form now, the balance in Gordon's account will be = {$1,200 x [1 + (2.5% x 6 years)]} = $1,380
his account will have earned = 2.5% x 6 years x $1,200 = $180 in interests over the six years
In 6 years form now, the balance in Bailey's account will be = $900 x (1 + 3.25%)⁶ = $1,090.39
his account will have earned = $190.39 in interests over the six years
Bailey's account earned more interest than Gordon's, even though his initial balance was much lower. This was due to higher interest rates and more important, because Bailey earned compound interest.
Solve for x.
Your answer must be simplified.
-3
Answer:
x > 7
Step-by-step explanation:
-3 < x - 10
Subtract x from both sides.
-x - 3 < -10
Add 3 to both sides.
-x < -7
Divide both sides by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > 7
Find (-2) for f(x) = 2.3% will give brainliest for correct answer
Answer: The answer is B
Step-by-step explanation:
Explain how you could use less than or equal to and greater than or equal to in a real-life scenario.
Answer:
Businesses: to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials.
Step-by-step explanation:
Hope this is helpful
solve the inequality [tex]\frac{t}{4} \\ \textgreater \ 7[/tex]
Answer:
[tex]t > 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
cookie increases by 25%. Which expression best represents the new length of the
cookie?
A. 0.25y
B. 0.75y
C. 1.25y
D. 12.5y
Answer:
I think the answer is C
Step-by-step explanation:
If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%
The expression best describes the new length of the cookie will be 1.25y.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
An uncooked gingerbread cookie is y centimetres long. After it is baked, the length of the cookie increases by 25%.The initial length of the cookie is y after baking the length is increased by 25%
= y + 25%y
= y + ( 25 / 100 ) y
= y + 0.25 y
= 1.25 y
Therefore the expression best describes the new length of the cookie will be 1.25y.
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Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A. Yes
B. No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer:_____________
Note: Type the answer as shown. Ex: (3:8)
Answer:
yes
Step-by-step explanation:
Be cause i whant points 20=15 7213=938401
Part A. Yes, these ratios forms a proportion
Part B- the ratio of the number of friends in Case 1 to the number of friends in Case 2 is 5:1
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The ratios in cases 1 and 2 form a proportion. IT can be seen by dividing case a by 5 which gives 4:3;
i.e 20:15
If we divide both numerator and denominator by 5, then we have 4/3.
This shows case 1 and 2 have the same proportions of friends to strangers.
Part B; The number of friends in case 1 is 20 while in case 2 is 4.
we have, 20:4
= 20 4
Dividing each by 4, we have 5:1.
Which means that the ratio of friends that in case 1 to case 2 is 5:1.
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Which expression is the same as 8 ones and 72 thousandths?
Answer:
8.072
~Savannah:))
Answer:
(8×1)+(7×1/100)+(2×1/1000)
Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile
Answer:
6 ways
Step-by-step explanation:
The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.
Now, we can only have movement through the game one at a time
The number of ways they can move through the gate one at a time is 6C1 ways
and that is mathematically;
if we are to select a number of r items from a total of n, the number of combinations or ways is;
nCr = n!/(n-r)!r!
Applying these to the problem at hand, we have
6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways