Answers
You can simply check by
The sum of the square of first two number should be equal to the square of third number to form a right angled triangle (simply use Pythagorean’s theorem)
For example in set four
12²+16²=20²
144+256=400
400=400
So it is a right angled triangle
Hope it helps : )
Related Questions
RJM Enterprises is a manufacturer of consumer electronics products. The industry is very competitive, and RJM has seen its profits fall in recent years, including an operating loss of $16,328 last year. RJM was able to turn that around this year by aggressively cutting costs. The summarized financial results for RJM are shown below:
Answers
Answer: hello your question has some missing data attached below is the missing data
answer :
∑ Volume variance = $55272
∑ Sales price variance = $41944 ( F )
Step-by-step explanation:
First step : prepare a flexible budget data for the current year using the formulae below
flexible budget = Actual units * Budgeted rate
and
Sales price variance = Actual - Budgeted data
Attached below is the Table showing the evaluation of sales price variance and volume variance
If 10 miles is 70% of the distance,
what is the total distance?
Answers
10 = 7x/10
100 = 7x
100/7 = x
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answers
Answer:
D
Step-by-step explanation:
We have the quadratic function:
[tex]f(x)=-x^2-4x+5[/tex]
First, the domain of all quadratics is always all real numbers unless otherwise specified. You can let x be any number and the function will be defined.
So, we can eliminate choices A and B.
Note that since the leading coefficient is negative, the parabola will be curved downwards. Therefore, it will have a maximum value. This maximum value is determined by its vertex, which is (-2, 9).
Since it is curving downwards, the maximum value of the parabola is y = 9. It will never exceed this value. Therefore, the range or the set of y-value possible is always equal to or less than 9.
So, the range of the function is all real numbers less than or equal to 9.
Our answer is D.
It is not C because the maximum value is dependent on y and not x.
12y^2+12y-3y^3 = 124-(y+5)
Answers
Answer:
[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]
1. My number has two digits
2. I am greater than 30
3. I am less than 90
4. My second digit is greater than 3
5. My first digit is divisible by 2
6. Both of my digits add up to either 11 or 12
7. I am the smallest number of
the four numbers that are left.
Answers
Answer:
47
Step-by-step explanation:
1. #2 and #3 reveal that it must be between 31 to 89
2. #4 and #5 reveals that the answer is one of these numbers:
44, 45, 46, 47, 48, 49
64, 65, 66, 67, 68, 69
84, 85, 86, 87, 88, 89
This is because only 4, 6, and 8 are divisible by 2
3. You must add up all the numbers to see which ones add up to either 11 or 12.
4 + 7 = 11
4 + 8 = 12
6 + 5 = 11
6 + 6 = 12
8 + 4 = 12
This means that these are the following numbers: 47, 48, 65, 66, 84
4. #7 says that you must find the smallest number. The smallest number left is 47.
2071 Old Q.No.5 Person's coefficient of skewness for a distribution is 0.4 and its coefficient of variation is 30%. If mode is 88, find mean and median.
Answers
Answer:
[tex]Mean = 100[/tex]
[tex]Median = 96[/tex]
Step-by-step explanation:
Given
[tex]C_v = 30\%[/tex] --- coefficient of variation
[tex]mode = 88[/tex]
[tex]Skp = 0.4[/tex]
Required
The mean and the median
The coefficient of variation is calculated using:
[tex]C_v = \frac{\sigma}{\mu}[/tex]
Where:
[tex]\mu \to[/tex] mean
So:
[tex]30\% = \frac{\sigma}{\mu}[/tex]
Express percentage as decimal
[tex]0.30 = \frac{\sigma}{\mu}[/tex]
Make [tex]\sigma[/tex] the subject
[tex]\sigma = 0.30\mu[/tex]
The coefficient of skewness is calculated using:
[tex]Skp = \frac{\mu - Mode}{\sigma}[/tex]
This gives:
[tex]0.4 = \frac{\mu - 88}{\sigma}[/tex]
Make [tex]\sigma[/tex] the subject
[tex]\sigma = \frac{\mu - 88}{0.4 }[/tex]
Equate both expressions for [tex]\sigma[/tex]
[tex]0.30\mu = \frac{\mu - 88}{0.4 }[/tex]
Cross multiply
[tex]0.4*0.30\mu = \mu - 88[/tex]
[tex]0.12\mu = \mu - 88[/tex]
Collect like terms
[tex]0.12\mu - \mu = - 88[/tex]
[tex]-0.88\mu = - 88[/tex]
Divide both sides by -0.88
[tex]\mu = 100[/tex]
Hence:
[tex]Mean = 100[/tex]
Calculate [tex]\sigma[/tex]
[tex]\sigma = 0.30\mu[/tex]
[tex]\sigma = 0.30 * 100[/tex]
[tex]\sigma = 30[/tex]
So:
Also, the coefficient of skewness is calculated using:
[tex]Skp = \frac{3 * (Mean - Median)}{\sigma}[/tex]
[tex]0.4= \frac{3 * (100 - Median)}{30}[/tex]
Multiply both sides by 30
[tex]0.4*30= 3 * (100 - Median)[/tex]
Divide both sides by 3
[tex]0.4*10= 100 - Median[/tex]
[tex]4= 100 - Median[/tex]
Collect like terms
[tex]Median = 100 - 4[/tex]
[tex]Median = 96[/tex]
Which number line represents the solution set for the inequality -1/2x >= 4
Answers
Answer:
x≤-8
Step-by-step explanation:
-1/2x ≥ 4
Multiply each side by -2, remembering to flip the inequality
-2*-1/2x≤ 4*-2
x≤-8
Answer:
Step-by-step explanation:
Note: by the rule of order of operations, -1/2x == -1/2*x = -x/2
-x/2 >= 4
-x >= 4*2 = 8
x <= -8
The number line looks like this:
<============================O--------------------------------------
where the circle should be filled and at x= -8
The valid part of the number line is to the left of the circle but INCLUDING the circle (solid dot).
Solve for X in the triangle. Round your answer to the nearest TENTH. (LISTING BRAINLIST PLZ HELP)
Answers
Answer:
2.3 =x
Step-by-step explanation:
We know the opposite and adjacent sides.
Since this is a right triangle, we can use trig functions
tan 38 = opp/ adj
tan 38 = x/3
3 tan 38 = x
2.34385688= x
To the nearest tenth
2.3 =x
Answer:
x ≈ 3.9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Opposite Leg = x
Adjacent Leg = 5
Step 2: Solve for x
Substitute in variables [tangent]: tan38° = x/5[Multiplication Property of Equality] Multiply 5 on both sides: 5tan38° = xRewrite: x = 5tan38°Evaluate: x = 3.90643Round: x ≈ 3.9
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form
Answers
Answer:
Step-by-step explanation:
let's tick to the well defined collection
Answers
Answer:
the answer should be B, because I think the collection of fruits is right
Answer:
i think its b
Step-by-step explanation:
SERIOUS ANSWERS ONLY WILL GIVE BRAINLIEST
Use the function f(x) to answer the questions:
f(x) = 4x2 + 8x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Hello,
Part A:
[tex]f(x)=4x^2+8x-5\\=4(x^2+2x)-5\\=4(x^2+2x+1-1)-5\\=4(x+1)^2-9\\=(2(x+1)-3)(2(x+1)+3)\\=(2x-1)(2x+5)\\x-intercepts\ are\ x=\frac{1}{2} \ and\ x=-\frac{5}{2} \\[/tex]
Part B:
x² coefficient is 4 >0 thus a minimun
as y=4(x+1)²-9 : vertex is (-1,-9)
Proof: see picture
Sorry for Part c: I don't know
In France, we make an array of (x,f(x)) and then plot the severals points.
Which is more economical: purchasing the economy size of a detergent at 3 kilograms for $3.15 or purchasing the regular size at 720 grams for 60c?
Answers
Answer:
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
Step-by-step explanation:
Which is more economical?
Whichever situation has the lowest price per kilogram.
3 kilograms for $3.15
3.15/3 = $1.05 per kilogram.
720 grams for 60c
0.6/0.72 = $0.83 per kilogram.
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
identify the 3D shape :)thank you
Answers
If you folded the figure up, you would have a prism where the parallel bases are right triangles. Each lateral face is a rectangle.
It might help to imagine a room where the floor and ceiling are triangles (they are identical or congruent triangles). Each wall of this room is one of the rectangles shown.
1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side, and the longest side measures 371 mi more than the middle side. Find the lengths of the three sides. The shortest side is mi long.
Answers
Answer:
the shortest side is 855 miles long.
Step-by-step explanation:
a + b + c = 3078 miles
a = b - 71
c = b + 371
=>
(b-71) + b + (b+371) = 3078
3b + 300 = 3078
3b = 2778
b = 926 miles
a = 926 - 71 = 855 miles
c = 926 + 371 = 1297 miles
5'1 in height plus 7 cm how tall am I ?
Answers
Answer:
5.313 ft (about 5'3.75")
154.94+7=161.94
Answer in cm: 161.94
Answer in inches: 5’3.756
what is the average rate of change between:
x=1 and x=2
x=2 and x=3
x=3 and x=4
Answers
Rate of change = RΔ = (y2-y1)/(x2-x1) = Δy/Δx
(X1,Y1)(X2,Y2)
(1, 2) (2, 4)
RΔ = Δy/Δx
= (4-2)/(2-1)
RΔ = 2
(2, 4) (3, 8)
RΔ = (8-4)/(3-2)
RΔ = 4
(3, 8) (4, 16)
RΔ = (16-8)/(4-3)
RΔ = 8
Can I get some help with this question? I have attempted several times and failed.
Answers
9514 1404 393
Answer:
B. relative maximum of 8.25 at x=2.5
Step-by-step explanation:
A quadratic of the form ax²+bx+c has an absolute extreme at x=-b/(2a). For your quadratic, that is ...
x = -5/(2(-1)) = 5/2
The value of the extreme is ...
f(5/2) = (-5/2 +5)(5/2) +2 = 25/4 +2 = 33/4 = 8.25
The negative leading coefficient tells you the graph opens downward, so the extreme is a maximum.
The function has a relative maximum of 8.25 at x = 2.5.
__
A graphing calculator can show this easily.
Which recursive sequence would produce the sequence 6, 20, 62, …
Answers
Step-by-step explanation:
Using an online calculator, I was able to find that one pattern is
[tex]a_{n} = a_{n-1} + 14 * 3^{n-1}[/tex] . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one
what is a proof
PLS PLS PLS HELP GELP HELPPPPPPPP
Answers
A. Definition = (the third meaning.)
B. Postulate (axiom) = (the first meaning.)
C. Common notion = (the last meaning.)
D. Theorem = (The second meaning.)
E. Corollary = (the fourth meaning.)
Proof is evidence or an argument that helps to establish a fact or the truth of a statement. For example, most people won't accept new concepts or ideas without proof of its existence.
A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from 50 parts. Selected parts are not replaced. How many different samples are there of size six that contain exactly 2 defective parts? What is the probability that a sample contains exactly 2 defective parts?
Answers
Answer:
535,095 different samples of size six that contain exactly 2 defective parts.
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
As the order of the parts is not important, the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different samples are there of size six that contain exactly 2 defective parts?
2 defective from a set of 3, and 4 non-defective from a set of 47. So
[tex]D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095[/tex]
535,095 different samples of size six that contain exactly 2 defective parts.
What is the probability that a sample contains exactly 2 defective parts?
The total number of samples is:
[tex]T = C_{50,6} = \frac{50!}{6!44!} = 15890700[/tex]
Then...
[tex]p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337[/tex]
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
Work out the following, giving your answers in their simplest form:
b) 5/9 ÷ 5
Answers
Answer:
5/9÷55/9×1/51/9Hope it helps youAnswer:
Since i m not sure of the equation i have dont both possible ways :)
Step-by-step explanation:
b)
(5/9) ÷ 5
[tex]= \frac{5}{9} \div 5\\\\=\frac{\frac{5}{9}}{5}\\\\=\frac{5}{9 \times 5}\\\\=\frac{1}{9}[/tex]
5/(9÷5)
[tex]=\frac{5}{9 \div5}\\\\= \frac{5}{\frac{9}{5}}\\\\=\frac{5 \times 5}{9}\\\\=\frac{25}{9}[/tex]
The numbers 1, 2, 3 , and 4 are drawn one at a time from the set {0, 1, 2, …, 9}. If these four numbers are drawn with replacement, what is the probability that 14 − 23 is an even number?
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f(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method
please fast
Answers
I hope it's helpful for u but I am not sure my answer is right !
Can someone answer this please
Answers
Answer:
[tex]336m^2[/tex]
Step-by-step explanation:
[tex]6*8=48[/tex]
[tex]10*12=120[/tex]
[tex]8*12=96[/tex]
[tex]6*12=72[/tex]
Add all these up
[tex]48+120+96+72=336[/tex]
Hope this helps
The length of duration, in minutes, of earthquakes in California has been recorded for future analysis and information. An earthquake expert claims that the average duration of earthquakes in California is 0.5 minutes. To investigate the validity of this claim a random sample of 6 earthquakes were taken and the sample mean and the sample standard deviation were 1.15 and 0.308 minutes, respectively. Construct a 98% confidence interval and determine if the researcher`s claim can be rejected.
a. 98% C.l.is (0.727, 1.573). One can reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
b. 98% C.I. is (0.727, 1.573). One cannot reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
c. 98% C.I. is (0.755, 1.545). One can reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
d. 98% C.I. is (0.755, 1.545). One cannot reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
Answers
Answer:
The answer is "(0.727, 1.573)".
Step-by-step explanation:
The confidence interval of 98 percent is C.I = (0.727, 1.573). You might disregard the statement of the experts that the genuine average duration in California of earthquakes is 0.5 minutes.
[tex]C.I = \bar{x}\pm t_{\frac{\alpha }{2}}\times \frac{s }{\sqrt{n}}\\\\[/tex]
[tex]= 1.15 + 3.365 \times 0.12574\\\\= 1.15 + 0.4231\\\\= (0.7269, 1.5731)[/tex]
Do the following lengths form a right triangle?
Answers
Answer:
yes, this forms a right angle
What is the slope of the line represented by this equation?
-3x + 8y = 12
A -8/3
B -3/8
C 3/8
D 8/3
Answers
Answer:
C. 3/8
Step-by-step explanation:
[tex] - 3x + 8y = 12 \\ \therefore 8y =3x + 12 \\ \therefore \: y = \frac{3}{8} x + 12 \\ equating \: it \: with \\ y = mx + b \: we \: find: \\ m = \frac{3}{8} \\ \therefore \: slope = \frac{3}{8} [/tex]
The answer above is wrong I took the test. It's in the picture below!
a. Chéo hóa ma trận A .
b. Từ kết quả câu a, hãy tính 10 A .
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The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.
Answers
5.
An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object. (10 points)
Answers
You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
a(t) = 40 ft/s²
v(t) = v (0) + ∫₀ᵗ a(u) du
v(t) = -20 ft/s + ∫₀ᵗ (40 ft/s²) du
v(t) = -20 ft/s + (40 ft/s²) t
s(t) = s (0) + ∫₀ᵗ v(u) du
s(t) = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) u ) du
s(t) = 10 ft + (-20 ft/s) t + 1/2 (40 ft/s²) t ²
s(t) = 10 ft - (20 ft/s) t + (20 ft/s²) t ²