Answer:
We want to rewrite:
q^2 = a*(p^2 - b^2)/p
as a linear equation, in the form:
y = m*x + c
So we start with:
q^2 = a*(p^2 - b^2)/p
we can expand the left side to get:
q^2 = (a/p)*p^2 - (a/p)*b^2
q^2 = a*p - (a/p)*b^2
Now we can ust define:
a*p = c
Then we can replace that to get:
q^2 = -(a/p)*b^2 + c
now we can replace:
q^2 = y
b^2 = x
Replacing these, we get:
y = -(a/p)*x + c
finally, we can replace:
-(a/p) = m
then we got the equation:
y = m*x + c
where:
y = q^2
x = b^2
c = a*p
m = -(a/p)
The yearly income of a family was Rs. 5,00,000. Tax was exempted upto Rs. 1,50,000. If the tax for the first Rs 20,00,000 was 10 % and for the rest was 15%, find how much amount of income tax will be paid in a year?
Answer: Rs. 35,000
Step-by-step explanation:
The taxable income is:
= Yearly income - Tax exemption
= 500,000 - 150,000
= Rs. 350,000
The tax on the first Rs. 2,000,000 is 10% which means that tax is:
= 350,000 * 10%
= Rs. 35,000
Abby cuts a sheet of paper in half, making two triangles. If the piece of paper is 16cm long by 12cm wide, how long is the diagonal?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem
diagonal² = 16² + 12² = 400
diagonal = √400 = 20 cm
Find the surface area of the prism.
Answer:
(8x3)x4+(3x3)x2=114
Step-by-step explanation:
How much is 3p-4p+r less than 4p+3q-5r
Answer:
3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .
Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then
3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x
x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)
x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r
x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r
x= p + 7q - 6r→x=p+7q−6r
Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .
Answer:
5p+3q-6r
Step-by-step explanation:
4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r
if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r
Please hurry I will mark you brainliest
You are organizing an athletic banquet at school and you have $120 available through
fundraising for the
banquet. Any other costs must be covered from selling tickets for the event. You decide to take care of the major cost first-hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person.
Cater Three charges $500 for hall rental plus $20 per person.
Caterer one equation: C = $45n
Caterer two equation: C = $250 + $28n
Caterer three equation: C = $500 + $20n
Question: use technology (Desmos, Excel etc) or graph to graph each plan on the same set of axis. Assume that the maximum of attendees will be 50
Answer:
The solution to above problem is 1- $45n 2- $(250+28n) 3- $(500+20n)
Step-by-step explanation:
pls somebody help me wth this
Answer:
8 puzzles, and 840 pieces
Step-by-step explanation:
420 / 4 = 105
630 / 6 = 105
Option 2 is the correct answer,
Reason
840 / 8 = 105
please answer this question!!
Answer:
x = 1
Step-by-step explanation:
6x - 9 = 2x - 5
Move variables to one side
6x - 9 = 2x - 5
-2x -2x
4x - 9 = - 5
Isolate variable
4x - 9 = - 5
+ 9 +9
4x = 4
4x/4 = 4/4
x = 1
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
A plane flies from London to Dubai and to Colombo. it leaves London at 01:50 and the total journey takes 13 hours and 45 minutes. The local time in Colombo is 7 hours ahead of London. Find the arrival time in Colombo
Answer:
11:35
Step-by-step explanation:
add 13 hour and 45 minutes to 1:50 giving you 4:35 and since the time is 7 hours ahead add another 7 hours and tada
The arrival time in Colombo is 10:35 pm.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, First, we need to convert 13 hours and 45 minutes to just hours.
We can do this by dividing the minutes by 60:
45 minutes ÷ 60 = 0.75 hours
So the total flight time is,
13 + 0.75 = 13.75 hours.
Next, we need to add the time difference between London and Colombo. Since Colombo is 7 hours ahead of London, we need to add 7 hours to the total flight time:
13.75 hours + 7 hours = 20.75 hours
Now we need to convert this to a time.
Since the flight left at 01:50, we can add 20 hours and 45 minutes to find the arrival time in Colombo:
01:50 + 20:45 = 22:35
So, the arrival time in Colombo is 10:35 pm.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2
Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]
Work Shown:
[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]
This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]
Find m angle AFE.
Please I need help badly
The measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have angles shown in the picture.
Angle AFB = 25 degrees
Angle BFC = 57 degrees
Angle CFD = 34 degrees
Angle DFE = 57 degrees
Angle AFE is the sum of the angle AFB, Angle BFC, Angle CFD, and Angle DFE.
Angle AFE = Angle AFB + Angle BFC + Angle CFD + Angle DFE
Angle AFE = 25 + 57 + 34 + 57
Angle AFE = 173 degrees
Thus, the measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ5
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
GIVING BRAINLIEST. GRAPH ABSOLUTE VALUE INEQUALITY y<-1/3|x+4|+5
Answer:
-1/3 · Ix+4I + 5
or
y∠ - Ix+4I -15
3
Step-by-step explanation:
hope this helped
Rationalise the denominator
Answer:
sqrt(3) /3
Step-by-step explanation:
1 / sqrt(3)
Multiply the top and bottom by sqrt(3)
1/ sqrt(3) * sqrt(3)/ sqrt(3)
sqrt(3) / sqrt(3)*sqrt(3)
sqrt(3) /3
Answer:
[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]
Guys please help me solve this its so stressful
Answer:
Given:- [tex]y=-5x^3+10x+20[/tex]
A parabola attain maximum height at the vertex: formula to find x-coordinate of vertex is, [tex]x=-\frac{b}{2a}[/tex]
plug in a=-5 and b=10
so, [tex]x=-\frac{10}{2(-5)} =-\frac{10}{-10} =1[/tex]
Now plug in x=1 to get maximum height,
[tex]y=-5(-1)^2+10(1)+20[/tex]
[tex]=-5+10+20[/tex]
[tex]=+25[/tex]
so, maximum heigh reached by the rocket was 25 yards
Rocket will hit the ground when y=0
[tex]0=-5x^2+10x+20[/tex]
[tex]0=-5(x^2-2x-4)[/tex]
[tex]\frac{0}{-5} =\frac{-5}{-5} (x^2-2x-4)[/tex]
So, [tex]x^2-2x-4=0[/tex]
quadratic formula is,
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
plug in a=1, b=-2,and c=-4
[tex]x=-\frac{(-2)=-\sqrt{(-2)^2-4(1)(-4)} }{2(1)}[/tex]
[tex]=\frac{2=-\sqrt{4+16} }{2}[/tex]
[tex]=\frac{2+-\sqrt{20} }{2}[/tex]
[tex]=\frac{2+-2\sqrt{5} }{2}[/tex]
[tex]=1+-\sqrt{5}[/tex]
[tex]=1-\sqrt{5} ,1+\sqrt{5}[/tex]
[tex]=1-5.236,1+2.236[/tex]
[tex]=-1.236,3.236[/tex]
So, it takes 3.2 seconds to hit the ground.
OAmalOHopeO
Please help explanation if possible
Answer: y= 1x+1
Step-by-step explanation:
The slope- intercept form is y=mx+b.
m is the slope(rise over run) and b is the y-intercept.
With this knowledge and the graph, m is 2/2 or 1, and b is 1.
At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers
Their LCM is
70
hope it helps you.
Answer:
Their L.C.M IS
70....
IT IS YOUR ANSWER
Design the image of UAE Mars mission-rocket in the following graph sheet and write
down any six coordinate points of its outline.
i hope these 3 images helps
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112 A. Median: 102, Q1: 87, Q3: 113, IR: 28, outliers: none B. Median: 102, Q1: 87, Q3: 115, IR: 28, outliers: 68 C. Median: 102, Q1: 87, Q2: 115, IR: 28, outliers: none D. Median: 102, Q1: 87, Q3: 115, IR: 27, outliers: none
Answer:
Q1 = 87 ;
Q2 = 102 ;
Q3 = 115 ;
IQR = 28
OUTLIER = None
Step-by-step explanation:
Given the data:
111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112
Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152
Sample size, n = 15
The first quartile, Q1 = 1/4(n+1)th term
Q1 = 1/4(15+1)th term
Q1 = 1/4(16) = 4th term
Q1 = 87
The Median , Q2 = 1/2(n+1)th term
Q2 = 1/2(15+1)th term
Q2 = 1/2(16) = 8th term
Q2 = 102
The third quartile, Q3 = 3/4(n+1)th term
Q3 = 1/4(15+1)th term
Q3 = 3/4(16) = 12th term
Q3 = 115
The interquartile range, IQR = Q3 - Q1
IQR = (115 - 87) = 28
Q1 = 87 ;
Q2 = 102 ;
Q3 = 115 ;
IQR = 28
OUTLIER = None
Which angles are adjacent to each other?
Angle 8 and Angle 4
Angle 3 and Angle 6
Angle 2 and Angle 7
Angle 4 and Angle 3
Answer:
<4 and <3
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
I hope this helps.
Answer:
angles 4 and 3
Step-by-step explanation:
its the right answer
Find the measure of the indicated angle to the nearest degree
Answer:
57°
Step-by-step explanation:
,using soh cah TOA the sides in the right angle concerning us are the adjacent and hypotenuse
where 14 is the adjacent and 26 is the hypotenuse
...therefore cos(x) ,that is,the unknown angle
cos(x)=14/26
cos(x)=0.5385
cos¹(0.5385)=57.42
I think of a number, double it and the result is 9. Evaluate the number that I first thought of
Answer:
4.5
Step-by-step explanation:
9/2 = 4.5
[tex]\frac{3^4}{3^2}[/tex]
Simplify.
Answer:
[tex]9[/tex]
Step-by-step explanation:
Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].
Therefore, simplify:
[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please help i need the coordinates of A
Answer:
(-6,2)
Step-by-step explanation:
Find the Value of y. 70 60 65 40
Answer:
125
Step-by-step explanation:
360-70-60-65-40
= 125
Answered by GAUTHMATH
HELPP!!
What is the approximate sum of this series?
Answer:
The answer of this question is 134.83
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Answer:
x + ×-4 > or =104
X> or =54
am I right please ?
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Solution :x + x - 4 = 1042x - 4 = 1042x = 108x = 108/2 x = 54Hence, the possible value for x is 54
Find the value of x.
Answer:
x=8
Step-by-step explanation:
(3x-8)/1=4x/2. 3x-8=2x, x=8
