Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
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5 + 0.55x = 10 + 0.75x pls help and explain
Step-by-step explanation:
hope it is helpful to you
X = -25
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.55x + 5 = 0.75x + 10
Step 2: Subtract 0.75x from both sides.
0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x
−0.2x + 5 = 10
Step 3: Subtract 5 from both sides.
−0.2x + 5 − 5 = 10 − 5
−0.2x = 5
Step 4: Divide both sides by -0.2.
−0.2x/−0.2 = 5/−0.2
x = −25
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
Please please help!!!!
Answer:
4.75
Step-by-step explanation:
Find the measure of A,B and C.
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
Guys can you help me please :( ASAP
Answer:
The answer is 25 + 11
Step-by-step explanation:
Hope this helps
(u + 4.5)(1.2) please help
What is the total Fatima paid?
olve the system of linear equations by graphing. =3+3 - 2x - 3
Answer:
If the equation is actually typed like that the answer will be
3-2x
If is typed like this 3-2x-3+3=
It will be
-2x+3
What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt
Answer:
the volume is 904.32. that guy I don't know what
A 721
14471
IN 288rt
means
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
Can you help I’m really stuck on this question.?.?.
No links. Pleas
Answer:
We can't see it all that well sorry.
Step-by-step explanation:
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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D is going in the 4th quadrant. Please help
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)?
Given:
[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.
Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.
[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]
[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].
Neee help right answers please
Answer:
Step-by-step explanation:
Divided the first 2 numbers by eachother and then by four use a calculator
Answer:
1146198.07
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
The answer is $22.75! (A)
Step-by-step explanation:
All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.
22.75 + 13.75 = 36.50
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!
Answer:
a^2 b^7
Step-by-step explanation:
I believe this is right
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent
Answer:
The average spent at his store is of $37.60.
The average spent at his competitor's store is of $48.53.
Step-by-step explanation:
Average of a data set:
The mean of a data set is the sum of all values divided by the number of values.
His store:
15 orders.
Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50
The average is:
[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]
The average spent at his store is of $37.60.
Store of the competitor:
15 orders
Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69
The average is:
[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]
The average spent at his competitor's store is of $48.53.
Answer:
a) Manager's store: mean = $37.60
Competitor's store: mean = $48.53
b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.
Step-by-step explanation:
used this for my test and it was correct.