What is the least possible value of (x+4)(x+5)+[tex]\frac{10^{6} }{x(x+9)} ,[/tex] where x is a positive real number?

Answer choice: 2017, 2018, 2019, 2020, 2021
Explain in High School Mathematics terminology. Do not attempt if your not 98% sure

The probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

The mean weight of the babies (μ) = 3685 grams.

The variance (σ²) = 330625.

Therefore, the standard deviation (σ) = √330625 = 575.

The sample size (n) = 113.

The sample mean = μ - 3685 grams.

The sample standard deviation (s) = σ/√n = 575/√113 = 54.09145.

We are asked to find the probability that the mean weight of the sample babies is less than 3631 grams, that is,

P(X < 3631)  = P(Z < {(3631 - 3685)/54.09145})

Using the formula: Z = (x - μ)/s,

or, P(Z < -0.9983) = 0.1591 or 15.91%.

From the table of area under the z-score.

P(X < 3631) can also be calculated using calculator function:

Normalcdf(-100000000,3631,3685,54.0195), which gives the value 0.1591 or 15.91%.

Thus, the probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

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The output of the word STAR is RSZQ

The encryption rule is given as:

Change a letter to the previous letter

This means that:

S -> R

T -> S

A -> Z

R -> Q

So, we have:

STAR -> RSZQ

Hence, the output of the word STAR is RSZQ

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Answer:

60 degrees

Step-by-step explanation:

Since all three sides are the same length, all three angles must be the same size.  This means the triangle is an equilateral triangle

The angles are 60 degrees

Answer:

Hello! The answer is 60°.

Step-by-step explanation:

As marked by the dashes on each side, the sides are congruent. If the sides are congruent, this means that the angle measures are equal.

Having three equal sides is an equilateral triangle, and the total angle measure sum is 180.

To find the measure of angle y, you will have to divide the total angle measure by the number of angles:

180 ÷ 3 = 60

The measure of angle y = 60°

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0  or y - 3 = 0

y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

Answer:

  r = 0.073/12 ≈ 0.0060833...

Step-by-step explanation:

In the given amortization formula, the interest rate (r) is the rate for one payment period.

The given 7.3% interest rate is presumed to be a nominal annual interest rate. Since there are 12 months in a year, the corresponding monthly interest rate is ...

  7.3%/12 = 0.073/12 ≈ 0.00608333...(repeating)

The value of r that goes in this formula is 0.0608333...(repeating).

Answer:

0.61

Step-by-step explanation:

The true statement is the range for Week 1 equals the range for Week 2.

A dot plot is a graph that is used to show the frequency of a data set using dots. Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Range of the first dot plot : 89 - 62 = 27

Range of the second dot plot : 89 - 62 = 27

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Answer:

8π ft

Step-by-step explanation:

Arc length = 2πr ( θ / 360 )

Here,

θ = 90

r = 90 ft

Arc length = 2πr ( θ / 360 )

Arc length = ( 2π * 16 ) ( 90 / 360 )

                 = ( 2π * 16 ) ( 1 / 4 )

                 = ( 2π * 16 )/4

                 = 2π * 4

Arc length = 8π ft

Answer:

B

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 16 × [tex]\frac{1}{4}[/tex]

    = 2π × 16 × [tex]\frac{1}{4}[/tex]

    = 32π × [tex]\frac{1}{4}[/tex]

   = 8π ft

Option c. The range of window for the data is given as 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20

We have the equation to be

y = −3x + 17,

and y = 5x - 23

We have to make the two equations to be equal

This would then give us

−3x + 17 = 5x - 23

The next step is to take the like terms

3x - 5x = -23-17

-2x = -40

From you we have to divide by -2

x = 20

The range would be written as

0 ≤ x ≤ 20, 0 ≤ y ≤ 20

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Answer:

the smallest number of people that could be in his group with the possibility of it being less than five people, will be three people.

Answer:

3!

Explanation:

By calling a sunny weather "beautiful" and rainy weather "depressing", you're inserting your own opinion into the question- which makes it biased!

Answer:

Step 2: it should be P - 2x, not P + 2x.

Step-by-step explanation:

No, the friend is not correct.

The equation of a line is a single b of numerous points on the line. The general form of the equation of a line is of the form ax + by + c = 0 and any point on the line satisfies this equation.

slope= 2/4= 1/2

Now,

y-(-2)= 1/2(x-0)

y+2= 1/2x

y= 1/2x - 2

Hence, the equation is incorrect.

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The sequence of transformation is; B. A translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

From the given image in the transformation, we can see that the pre image which is the original image is on the right hand side while the image after transformation is on the left hand side.

Now it will be noticed that in the pre image, all the x and y coordinates are positive while the image after transformation has all the x-coordinates as negative with the y-coordinates as positive.

This transformation when critically examined is seen to be a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

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Answer: its B

Step-by-step explanation:

When you win 25% of the time based on the probability, this illustrates that the number of products picked will be 7 products.

Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.

Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:

= 24 + 4 = 28

The frequency table will be such that 28 or more have a relative frequency of 9. Therefore, the probability that a person wins the game will be:

= 9/28 = 32.1%

When you win 25% of the time, this illustrates that the number of products picked will be:

= 25% × 28

= 7 products.

The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:

= 1/6⁴

= 1/1296

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Answer:

Trinomial:  [tex]\boldsymbol{\text{x}^2 + 3\text{x} - 4}[/tex]

Dimensions: [tex]\boldsymbol{\text{x}+4} \text{ by } \boldsymbol{\text{x}-1}[/tex]

=======================================================

Explanation:

The big green square is x units by x units. Its area is [tex]\text{x} * \text{x} = \text{x}^2[/tex] which represents x squared.

The long vertical green rectangles are x units tall and 1 unit across. The area of one such rectangle is x times 1 = x. Since we have four of these green rectangles, so far we have x+x+x+x = 4x in additional area.

So far the area is [tex]\text{x}^2+4\text{x}[/tex]

---------------

All of the green areas mentioned so far are positive areas so to speak.

In contrast, the red areas are negative areas. They take away from the positive. You can think of it like a bank balance.

If a single green rectangle is x square units in area, then a red rectangle is negative x or -x

So we go from 4x to 4x-x = 3x

Then we subtract off 4 due to the 4 small squares

This gives a total area of [tex]\text{x}^2 + 3\text{x} - 4[/tex] and this represents the standard form of the polynomial area. It is a trinomial since it has 3 terms.

---------------

Now onto the dimensions.

Check out the diagram below. The overall figure is x+4 units across the horizontal dimension, and x-1 units tall along the vertical dimension.

If you were to use the FOIL rule, then you would find that [tex](\text{x}+4)(\text{x}-1) = \text{x}^2 + 3\text{x} - 4[/tex] which helps show how the two forms connect to one another.

This also helps show that area = length*width which is what we'd expect from any rectangular area.

The value of DF = 20.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

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7.2 percent of the area of the original hexagon was removed

The area of hexagon is the region that lies within the sides of the hexagon. A hexagon is a two-dimensional shape that has 6 sides, 6 angles, and, 9 diagonals, and the sum of its interior angles is 720°

Area of the hexagon = (3√3 s2)/2, where 's' is the length of the side of the hexagon.

Her, We have

[tex]\(1-2s=s\sqrt3, 1=2s+s\sqrt3, 1=s(2+\sqrt3), s=\frac{1}{2+\sqrt3}\)[/tex]

Rationalize the denominator to get [tex]\(s=2-\sqrt3\)[/tex]

The area of the hexagon is  [tex]\(\frac{3\sqrt3}{2}\)[/tex]  and the dodecagon is [tex]\(\frac{3s^2\sqrt3}{2}\).[/tex]

The deleted area is [tex]\(s^2=0.072=7.2%\)[/tex] percent

Formula used:

Area = (3√3 s2)/2

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Both climbers rested on the wall at a constant height for 2 minutes.

The complete question is added as an attachment

From the attached graph, we have the following highlights

The above means that both climbers stopped for 2 minutes

Hence, the true statement about the climber's height is that (d) Both climbers rested on the wall at a constant height for 2 minutes.

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Answer: D: Both climbers rested on the wall at a constant height for 2 minutes.

Step-by-step explanation: i did the quiz edge 2022

Answer:

-2 2/3

Step-by-step explanation:

3+(-5 and 2/3)=3-5 2/3= -5 2/3+3=-2 2/3

The sum of two numbers is [tex]-2\frac{2}{3}[/tex] .

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given that, 3+([tex]-5\frac{2}{3}[/tex])

= 3-17/3

= (9-17)/3

= -8/3

= [tex]-2\frac{2}{3}[/tex]

Therefore, the sum of two numbers is [tex]-2\frac{2}{3}[/tex] .

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Answer:

Linear

Step-by-step explanation:

Notice that x values increase by 1 each row and that the y values increase by 5 each row. By definition, in linear functions, x and y values both increase by constant values. Going down each row, the y value increases by 5 as the x value increases by 1, so we know that the graph must be a linear function.

Function Type: linear

Equation: y = 5x + 7

Answer:

28 legs are on the floor once again

There are no legs on the floor.

Hence answer is zero.

According to the question,

For 2 dogs: Each dog has 4 legs.

Therefore, 2 dogs have a total of 8 legs.

For 4 horses: Each horse has 4 legs.

Therefore, 4 horses have a total of 16 legs.

For 1 giraffe: A giraffe has 4 legs.

For 1 duck: A duck has 2 legs.

For 3 hens: Each hen has 2 legs.

Therefore, 3 hens have a total of 6 legs.

To get the total number of legs on the bed,

we simply add up all the legs of the animals on the bed,

⇒ 8 legs + 16 legs + 4 legs + 2 legs + 6 legs = 36 legs.

Now, to get the number of legs on the floor,

We need to subtract the number of legs on the bed from the total number of legs of all the animals,

For 2 dogs with a total of 8 legs.

For 4 horses with a total of 16 legs.

For 1 giraffe with 4 legs.

For 1 duck with 2 legs.

For 3 hens with a total of 6 legs.

So, the total number of legs of all the animals is,

⇒ 8 legs + 16 legs + 4 legs + 2 legs + 6 legs = 36 legs.

Since all the animals are on the bed,

There are no legs on the floor.

Therefore, the answer is 0 legs on the floor.

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The exercise below is one that requires the proof that of certain dimensions using the rules of congruence. of triangles.

It simply means that both angles are similar in measure.

It is given that ∠BAD=∠EAC

∠BAD+∠DAC=∠EAC+∠DAC   [add ∠DAC on both sides]

Therefore ∠BAC=∠DAE

In △BAC and △DAE

AB=AD (Given)

∠BAC=∠DAE (Proved above)

AC=AE (Given)

Therefore △BAC≅△DAE (By SAS congruence rule)

Therefore BC=DE because Corresponding Parts of Congruent Triangles CPCT are congruent.

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Answer:

Step-by-step explanation:

[tex](2)^2=(x+1)^2+(x-1)^2\\[/tex]

By solving this equation we can get:

[tex]x=1 \\x=-1 (Impossible)[/tex]

∴

The value of the x will be equal to 1.

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

Given that the hypotenuse is of length 2 and legs of length x+1 and x-1. The value of x will be calculated as:-

H² = P² + B²

2² = ( x + 1 )² + ( x - 1 )²

4 = ( x² + 2x + 1 ) + ( x² - 2x + 1 )

4 = 2x² + 0 + 2

4 - 2 = 2x²

x = √1 = ±1

x = 1  and x = -1 ignore negative value.

Therefore, the value of the x will be equal to 1.

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Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

[tex]AB=\sqrt{(4-2)^2+(-2-(-2))^2}=2\ units[/tex]

Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

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Answer:

A, B, and D

Step-by-step explanation:

yw enjoy summer

Answer: No she'll need atlease 9 dollars

Step-by-step explanation:

48.95 x 18% is 8.811 which is greater than

Answer:

A. (3/2, 6)

Step-by-step explanation:

Use the substitution method:

8x + y = 18 and y = 4x

8x +4x = 18

12x = 18

x = 18/12 = 3/2

y = 4x

= 4(3/2)

= 12/2

= 6

The probability that the sample mean would differ from the population mean by less than 0.5 millimeters is 0.3970.

Given mean diameter of 145 millimeters, standard deviation of 6 millimeters.

We have to find out the probability that the sample mean would differ from the population mean by less than 0.5 millimeters.

μ=145 and ,σ=60 ,n=39 then

s=60/[tex]\sqrt{39}[/tex]=0.96

By finding the probability that the sample mean would differ by less than 0.5 mm equal to p value of Z when X=145+0.5=145.5 mm subtracted by the p value of Z when X==145-0.5=144.5 mm.

When X=145.5 mm

Z=(X-μ)/σ

By central limit theorem

Z=(145.5-145)/5

=0.5/0.96

=0.52

p value of 0.52=0.6985.

When X=144.5

Z=(144.5-145)/0.96

=-0.5/0.96

=-0.52

p value of -0.52=0.5-0.1985=0.3015

Required probability=0.6985-0.3015=0.3970.

Hence the probability that the sample mean would differ from the population mean by less than 0.5 mm is 0.3970.

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Researchers hypothesize that the first self-replicating molecule may have been RNA. This is known as the RNA world hypothesis.

Life likely evolved between 3.53.53, point 5 and 3.93.93, point 9 billion years ago, when the Earth formed around 4.54.54, point 5 billion years ago.

According to the Oparin-Haldane hypothesis, "building blocks" like amino acids initially formed and then came together to form complex polymers as life gradually evolved from inorganic molecules.

The first proof that organic molecules required for life might be created from inorganic elements was supplied by the Miller-Urey experiment.

The RNA world hypothesis, which contends that RNA was the primordial form of life, is backed by certain scientists. Others support the concept that metabolic networks come before DNA or RNA.

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Answer:  

Experimental Probability = 1/3

Theoretical Probability = 1/6

========================================================

Explanation:

Count how many times the number "2" shows up in the "Result" column. There are 4 instances of this value. This is out of 12 trials total.

Divide the two numbers to get 4/12 = 1/3 as the experimental probability

-------------

In contrast, the theoretical probability is 1/6 because there's 1 side labeled "2" out of 6 sides total.

The decimal form of each fraction is:

1/3 = 0.333 approximately

1/6 = 0.167 approximately