Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

Answer:

10 inches

Step-by-step explanation:

For we solve this, we can use proportionality

Using the following method

Mini box: height 4 inches and width 3.2 inches

The proportion is: 4 in (height) / 3.2 in (width)

Standard box: height x inches and width 8 inches

x in (height) / 8 in ( width)

So:

x /8= 4/ 3.2

Solving for x:

x = (4/ 3.2) 8

x = 10 inches

As the answer

Answer:

10 inches

Step-by-step explanation:

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

Answer:

50 yards

Step-by-step explanation:pythogourus theorem apply here

a²+b²=c²

40²+30²=c²

c²=2500

c=√2500

c=50 yards

hope this helps

plz mark me brainliest

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89  = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 ×  9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89  

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

Answer:

idk i have the same question

Step-by-step explanation:

Answer:

Volume, [tex]V=169.56\ \text{units}^3[/tex]

Step-by-step explanation:

We have,

Radius of cylinder is 3 units

Height of the cylinder is 6 units

It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :

[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]

So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].

Answer:

5 batches

Step-by-step explanation:

For this you need to divide the 2 fractions, and what ever you get will be the answer.

[tex]4\frac{1}{2}[/tex]÷[tex]\frac{3}{4}[/tex]

First make the mixed fraction into a improper fraction.

[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]=[tex]\frac{36}{6} =\frac{5}{1} =5[/tex]

Final answer

5 batches

Answer:

The volume of gallons used by Silvio = [tex]7\frac{13}{32}[/tex] gallons

Step-by-step explanation:

Total volume of milk = [tex]9\frac{7}{8}[/tex] = [tex]\frac{79}{8}[/tex]

amount used by Silvio = [tex]\frac{3}{4}[/tex] of total volume

This means that if the total volume of milk were divided into four parts, Silvio takes 3 out of 4 parts, and this is converted to volume as follows:

∴ amount used by Silvio = [tex]\frac{3}{4}[/tex] × [tex]\frac{79}{8}[/tex] = [tex]\frac{237}{32}[/tex] = [tex]7\frac{13}{32}[/tex] gallons

Answer:

64 ways

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

If you visualize that 1 person can line up in 8 different ways, by being first in line, second, third, etc. there are 8 possible ways 1 person can line up, so multiply that by the # of people which is 8.

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

answer:

d). Restaurant 2, because the range of Restaurant 2 is greater

Answer:

z=2

Step-by-step explanation:

z^2 - 4z+4 =0

Factor recognizing

a^2 - 2ab - b^2 = (a-b)^2

(z-2)^2 =0

Using  the zero product property

z-2 = 0

z=2

Answer:

1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

Given:

24, 16, 23, 30, 18, 29

The ordered steps involved in Calculating the median of the data set given :

1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :

16, 18,23,24,29,30

2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left

3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47

4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5

Answer:

A: 1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

edg2020

Answer:

Don’t really know what the question is, but these are the answers for x

Answer:

x = 80

Step-by-step explanation:

[tex]\sqrt{5x}=20\\[/tex]

Take square,

[tex](\sqrt{5x})^{2}=20^{2}\\\\5x=20*20\\\\x=\frac{20*20}{5}\\[/tex]

x = 4*20

x   = 80

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

Wyatt : 8c-48cd=8c(1-6d)

Xavier :36c-24c =12c(3-2)

Yang: 8c+40=8(c+5)

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer:

wyatt answered correctly

Step-by-step explanation:

Answer:

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Step-by-step explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help

Answer:

15! ways

Step-by-step explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

Answer:

The answer is 5832

Step-by-step explanation:

18 ^3 is 5832

Answer:

The equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Step-by-step explanation:

The equation of the parabola is:

[tex]x = 4\cdot p \cdot y^{2}[/tex]

Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,

[tex]p = 3\cdot m[/tex]

Lastly, the equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Answer: x = (1/12m)(y^2)

Step-by-step explanation:

Focus at (3m, 0)

Directrix equation, x = -3m

Distance from focus = distance from directrix

√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2

(x - 3m)^2 + y^2 = (x + 3m)^2

y^2 = (x + 3m)^2 - (x - 3m)^2

y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2

Collecting like terms and simplifying

y^2 = 6mx + 6mx

y^2 = 12mx

x = (1/12m)(y^2)

Answer: 14.1 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.

cos α = adjacent side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder

Replacing with the values given:  

cos 62 = x/ 30

Solving for x

cos62 (30) =x

x= 14.1 feet

Feel free to ask for more if needed or if you did not understand something.  

Answer:

There is a 40% chance that it will rain Tuesday and Friday.

Step-by-step explanation:

This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%

Answer:

60 percent chance

Step-by-step explanation:

First you multiply the two together. Then move the decimal to get a percent! HOpe this helps

Answer: 11 vertices

Step-by-step explanation:

Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:

F+V = E+2

Where:

F = number of faces

V = number of vertices

E= number of edges

Replacing with the values given:

9+V = 18+2

Solving for V:

V =18+2-9

V = 11

Feel free to ask for more if needed or if you did not understand something.  

Step-by-step explanation:

angle A = 38

now come with me inside the triangle ABC

use two property of isoceles traingle and sum of angles of triangle

you get x= 71°

Answer:

x = 71°

Step-by-step explanation:

Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.

Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.

Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:

∠A + ∠B + ∠C = 180

38 + x + x = 180

38 + 2x = 180

2x = 142

x = 142/2 = 71

Thus, x = 71°.

Answer:

why don't you copy and paste it

Answer:

[tex]y = 2 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]