the sum x + y is at least 20. We can achieve this lower bound by choosing x = y = 10, since then xy = 100 and x + y = 20. This is the smallest possible value of the sum, so the two positive numbers are 10 and 10.
Let x and y be the two positive numbers whose product is 100, so xy = 100. We want to find the smallest possible value of x + y.
Using the AM-GM inequality, we have:
x + y ≥ 2√(xy) = 2√100 = 20
what is numbers?
Numbers are mathematical objects used to represent quantity, value, or measurement. There are different types of numbers, including natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (numbers that can be expressed as a ratio of two integers), real numbers (numbers that can be represented on a number line), and complex numbers (numbers that include a real part and an imaginary part).
To learn more about number visit:
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Determine the value of y, if x is-9.
Answer:
[tex]y=82[/tex]
Step-by-step explanation:
We know the value of x is -9 so we can plug it in as -9.
[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]
Answer:
82=y
Step-by-step explanation:
-9 x -9 = 81
81 + 1 = 82
Rhea earned P9,876.88 a month while Jane earned P10,675.50. How much more did Jane earn month than Rhea?
1. What is asked in the problem?
2. What are the given facts?
3. What is the operation to be used?
4. What is the number sentence?
5. What is the correct answer
4 Mr. Von's 5th-grade class is going on a field trip. Each
student is given a name card to wear that is 1/4 foot wide 1/3 foot long
1/4foot x 1/3 foot = square foot
Answer:
the answer is 1/12 square foot
Step-by-step explanation:
.
Please I need help.
Find the measure of the angle DCB in the rhombus ABCD.
Answer:
53
Step-by-step explanation:
its the same to DAB because it is in the opposite side to the DAB
Answer:
Step-by-step explanation:
In Rhombus, diagonals are angle bisectors.
So, ∠DAC = ∠CAB
∠A = ∠DAC+∠CAB
= 53 + 53
∠A = 106
In Rhombus, opposite angles are equal.
∠DCB = ∠A
∠DCB = 106°
Is one-half of a square smaller than one-quarter of the same square? How do you know?
Answer:
No
Step-by-step explanation:
one-half is bigger than one-quarter of the same square
(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height
Answer:
The area of the triangle
A = 5.25 square units
Step-by-step explanation:
Explanation:-
Given that the base of the triangle(b) = 3.5
The height of the triangle(h) = 3
The area of the triangle
[tex]A = \frac{1}{2} base X height[/tex]
[tex]A = \frac{1}{2} (3.5) (3)[/tex]
A = 5.25 square units
A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?
Answer:
391.
Step-by-step explanation:
There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.
Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.
Andre has 5 notebooks. Each notebook contains 60 sheets of paper. How many total sheets of paper does Andre have in his notebooks?
Answer:
5 x 60 = 300 pages
Step-by-step explanation:
Answer:
5x60=300
Step-by-step explanation:
If he has 5 note books with 60 pages each he has 300 pieces of paper
possible number of learners in the
in a village, the bell rings every 30 minutes at the Junior School and every 40
minutes at the High School Both schools start lessons at 8:00 am
At what times between 8.00 am and 2.30p.m do the bells both rring
Find multiples of 30 and 40:
30: 30, 60, 90, 120, 150
40: 40, 80, 120, 160
The least common multiple is 120, so every 120 minutes they willl both ring.
1 hour = 60 minutes:
120/60 = 2 hours.
The bells ring together every 2 hours.
8 + 2 = 10 am
10 + = 12pm
12 + 2 = 2 pm
The bells will ring together at am, 12 pm and 2 pm.
Answer:
Solution :-At first common multiple of 30 an 40
[tex] \sf \to \: 30 = 30,60,90,120[/tex]
[tex] \sf \to \: 40 = 40,80,120[/tex]
Common Multiple = 120
Time taken = 120/60 = 2 hrs
Now,
8.00 + 2 = 10.00 am
10.00 + 2 = 12.00 noon
12.00 + 2 = 2.00 pm
[tex] \\ [/tex]
Help me please and thank you
True for one value: -1
True for no values: 0
True for all values: 5
Factorise x²+8x+12plz give answer
Answer:
(x+6)(x+2)
Step-by-step explanation:
we have
ax²+bx+c
To factor parabolas we need to find a number that adds to b (or 8) and mulitplies to a*c (or 12)
The numbers 6 and 2 fit this criteria which means we have
(x+6)(x+2)
Answer:
i.d.k the answer so sorry
Step-by-step explanation:
knkn
Help plsss!!!! Thnk you!!!!
Step-by-step explanation:
General quadratic equation: y = ax² + bx + c.
When x = 0, y = -3.
=> (-3) = a(0)² + b(0) + c, c = -3.
We now have y = ax² + bx - 3.
When x = 2, y = -4.
=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,
4a + 2b = -1.
Our 1st system of equations is 4a + 2b = -1.
When x = 4, y = -3.
=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,
16a + 4b = 0, 4a + b = 0.
Our 2nd system of equations is 4a + b = 0.
Now we solve the system of equations:
4a + 2b = -1
- (4a + b = 0)
=> b = -1
Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)
EXERCISE 6.1
1. What will be the unit digit of the squares of the following numbers?
(i)81 -
(ii) 272 -
(iii) 799 -
(iv) 3853 -
(v) 1234 -
(vi) 26387-
(vii) 52698
(vii) 99880
(ix) 12796
(x) 55555-
retail price= $120
markup percent= 40%
what is the original cost
Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.
A = (1/2)(d1)(d2)
A = (1/2)(6 cm)(8 cm) = 24 cm²
The area of the kite is 24 square centimeters.
[tex] {n}^{6} \times \frac{4}{25} {n}^{2} \times \frac{5}{4} {n}^{3} \times n[/tex]
Step-by-step explanation:
reduce the numbers by solving and add the powers
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
[tex]2x=6[/tex]
[tex]x=\dfrac{6}{2}[/tex]
[tex]x=3[/tex]
Now,
[tex]BE=BD+DE[/tex]
[tex]BE=6+x[/tex]
[tex]BE=6+3[/tex]
[tex]BE=9[/tex]
Therefore, the measure of side BE is 9 units.
Question:
A soccer ball has a radius of 11 cm. What is the volume of the soccer ball in cubic centimeters? Use 3.14 for pi. Round your
answer to the nearest hundredth.
Answer:
V = 4/3 * pi * radius^3
= 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....
Step-by-step explanation:
Need help with math question 8th grade math
Answer:
Step-by-step explanation:
I am also in 8th grade, anyways
x reprsents = 30 nickles
y represents = $1.02.
I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!
Answer:
Step-by-step explanation:
x reprsents = 30 nickles
y represents = $1.02.
There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay inside. The other 15 people voted to go outside in the rain. What percent of the class wants to go outside? Round to the nearest percent if needed.
Answer:
15/60×100=25%
Step-by-step explanation:
the number of students wanted to go outside/the whole number of students×100
15/60×100=25%
What is the average rate of change of g over the interval [-2,4]
Answer:
3Average = sum of all the observations
Total number of observations
Average = 2+4
2
Average = - 6
2
3
Find the area of the triangle.
Answer:
86.1yd
Step-by-step explanation:
area of a triangle= base*height/2
21*8.2=172.2
172.2/2=86.1
Answer:
86.1yd2
Step-by-step explanation:
area=1/2×b×h
a=1/2×21×8.2
a=86.1yd2
Factorise fully
X^2 - 25
Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2-25 = x^2 - 5^2 = (x+5)(x-5)
rule: a^2 - b^2 = (a+b)(a-b)
Please help me solve this
Answer:
Q. 11 x=29
Q. 12 x=24
Step-by-step explanation:
Q.11
sum of all sides of triangle = 180°
(2x+20)+(x+10)+(2x+5)=180°
5x+35=180°
5x=180°-35
5x=145°
x=145/5
x=29°
Q.12
sum of all sides of triangle=180°
96+(2x)+(x+12)=180°
3x+108=180°
3x=180-108
3x=72
x=72/3
x=24
just answer please hurry
Answer:
2.7 pages and 1.7 pounds of rice
Step-by-step explanation:
2.7 pages in one minute because 27/10=2.7
and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7
its a screen shot do do do doooo
Depends on what pi is.
It could be
50.24 yards (pi is rounded)
OR
16π yards
What is the line of reflection for the trapezoids?
On a coordinate plane, trapezoid A B C D has points (5, 4), (6, 4), (8, 3) and (5, 3). Trapezoid A prime B prime C prime D prime has points (1, 4), (0, 4), (negative 2, 3), (1, 3).
Answer:I believe it’s A(x=3)
Step-by-step explanation:
3 1183 long division
Calculate the slope of the line that contains the points (-3, -2) and (7, 2)
Answer:
the slope= 2/5
Pls help me with this my sister’s going to take my phone in 10 minutes and I will give brainleast
Answer:
What are the closer two numbers together the then you find the slope
Step-by-step explanation:
Answer:
1x-6
Step-by-step explanation:
Slope Form: Mx+b
Slope Formula: y2-y1/x2-x1
(4,-2) (5,-1)
-1-(-2)= 1
5-4=1
1/1=1
Y-intercept: -6
Hope this helps!