The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/1506955
the simple interest on a sum of rs 5000 at 4% p.a. for one year is __________.
Answer:
Principal = Rs. 5000
Rate of Interest = 5%
Number of years = 2 y 3 m = 2 1/4 years
Interest = (P x N x R) / 100
ie (5000 x 9/4 x 5) /100= Rs. 562.50
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.
Victoria says that she has enough money to buy the skateboard. Is she correct?
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
Helpppppppppp plsssssss
Answer: You didnt give the 2 equations.
Step-by-step explanation:
Which of the following expressions is equivalent to log 5 - k log 2?
Select one answer
Answer:
C
Step-by-step explanation:
log5- klog2= log5-log2^k = log(5/2^k)
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?
we can change cos to sin by saying cosx=sin(90-x)
now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)
90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)
-x-x=20-90+k.360........kEZ
-2x=-70+k.360.........kEZ
divide all terms by -2
x=35-k.180.......kEZ
Answer:
x=35°
Step-by-step explanation:
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.
Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)
Answer:
y=-2/5x+21/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(3-(-2))
m=-2/(3+2)
m=-2/5
y-y1=m(x-x1)
y-5=-2/5(x-(-2))
y-5=-2/5(x+2)
y=-2/5x-4/5+5
y=-2/5x-4/5+25/5
y=-2/5x+21/5
Solve the inequality 2x^2-6>0
Answer:0
Step-by-step explanation:
What is the probability of rolling a number greater than 1?
Type a fraction
Step-by-step explanation:
A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,
[tex]\dfrac{5}{6}[/tex]
$5.15 per 5-pound bag
Answer: 1 pound = 1.03
Step-by-step explanation:
not sure what you wanted from this but here are possible answer
Hey there!
When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.
$5.15/5 lb
= 5.15 ÷ 5 lb
= 5.15 ÷ 5 lb
= $1.03
Therefore, your answer SHOULD be: $1.03
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Yep me pls thanks you so much
Answer:
32
Step-by-step explanation:
To solve, simply put 4 in place of x. 8 times 4 is 32
SOMEONE HELP ME PLEASE <3
Answer:
A.90
Step-by-step explanation:
thank me later
Hello hello helppppppppppppp
Answer:
the person anove is correct
Step-by-step explanation:
If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?
Answer:
Basketball: $6.75
Football: $7.50
Step-by-step explanation:
lmk if you want an explanation
The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.
The linear equation can be framed:
3x + 4y = 50.25
5x + 5y = 71.25
Here x is the cost of basketball game tickets and y is the football game ticket.
After solving the above linear equation by substitution method,
5([50.25 - 4y]/3) + 5y = 71.25
y = $6.75
x = $7.5
Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5
Ignore this, I posted the wrong answer and I don't know how to delete it.
Answer:
Yes/true
Step-by-step explanation:
-2(z+9)-(-5)=-2⋅z-2⋅9+5
sostituisco la lettera dandogli un valore
=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5
calcolo e tolgo le parentesi
=-2⋅3+5=12-18+5
Elimino i termini uguali
=-2⋅3=12-18
Somma e moltiplicazione tra i numeri
=-6=-6
12 - (8x - 20) < 12
Plz answer question
[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]
ANSWER: x > 5/2
Ok done. Thank to me :>
Answer:
[tex]x = \frac{5}{2} [/tex]
Step-by-step explanation:
12-(8x-20)<12
12-8x+20<12
-8x<12-12-20
-8x<-20
divide both by negetive 8
x>5/2
x> 2.5
help as soon as possible
The greatest common factor of y^4. y^6 and y^5 is
Answer:
Answer:GCF: y^4
Step-by-step explanation:
Factors of:
y^4= (y) (y) (y) (y) = y^4 (1)
y^5 = (y) (y) (y) (y) (y) = y^4 (y)
y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)
Help help hep help help math
Answer:
Angle 5
Step-by-step explanation:
Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?
Answer:
54
Step-by-step explanation:
okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30 and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers then that's your answer
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h
A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight
The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
Identify the function as a power function, a polynomial function, or neither.
[tex]fx=\frac{x^2}{x^2-1}[/tex]
Answer:
I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.
5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise
Answer:
5.32
Step-by-step explanation:
it had a more exact reading than the others
identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]
help pls dawg i aint tryna get an F
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.
C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.
D.
There is not enough information
The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
Two equations can be derived from this question:
2.25x + 1.50y = 225.75 equation 1
x + y = 126 equation 2
Where:
x = number of hotdogs sold
y = number of soda sold
In order to determine the value of y, multiply equation 2 by 2.25
2.25x + 2.25y = 283.50 equation 3
Subtract equation 1 from 3
57.75 = 0.75y
y = 77
Substitute for y in equation 2
x + 77 = 126
x = 49
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Answer:
The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas
Step-by-step explanation:
hope this helps
Matt has 5 cookies Addie eats 3. How old is Addie?
Answer:
old enough to eat a cookie
A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?
First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.
Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!
The bus will travel 162.5 miles!
Hope this helps :)
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5