Form a quadratic polynomial whose zeroes are 3-√3/5 and 3+√3/5?​

the odds must be for outcomes less than or equal to 11

the possible combinations of rolling two dice are 36

the chances of getting more than 11 are only two 6 with one die 6 with another and vice versa

then we only have to remove two possibilities

there are 34 chances of getting no more than 11

and the probability is

and the percentage is

So the surface area of the three boxes is 32 1/3 square feet.

Surface area is the total area that the surface of a three-dimensional object covers. It is measured in square units (such as square inches, square feet, or square meters). Surface area is an important concept in many areas of math and science, including geometry, architecture, physics, and engineering. It is used to calculate the amount of material needed to cover or construct an object, to determine heat transfer rates, and to analyze the strength and stability of structures.

Here,

To find the surface area of a rectangular prism, we need to find the area of each face and add them together. The rectangular prism has three boxes, so we need to find the surface area of each box and multiply by 3 to get the total surface area.

Face 1: The top and bottom faces are both rectangles with dimensions 5 feet by 1 1/2 feet. The area of each face is:

5 ft x 1 1/2 ft = 7.5 sq ft

Face 2: The front and back faces are both rectangles with dimensions 1 1/2 feet by 1 1/3 feet. The area of each face is:

1 1/2 ft x 1 1/3 ft = 2 sq ft

Face 3: The left and right faces are both rectangles with dimensions 5 feet by 1 1/3 feet. The area of each face is:

5 ft x 1 1/3 ft = 6 2/3 sq ft

To find the total surface area, we add up the areas of all three faces:

Total surface area = (7.5 sq ft x 2) + (2 sq ft x 2) + (6 2/3 sq ft x 2)

Total surface area = 15 sq ft + 4 sq ft + 13 1/3 sq ft

Total surface area = 32 1/3 sq ft

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Answer:

the answer is 32 1/3!

Step-by-step explanation:

I took the k12 4.12 unit test: Three-Dimensional Geometry -
Good luck with the rest of the test! ^_^
(This was my least favorite unit test of the whole semester)

my answer may be incorrect so someone verify pls

i believe you add 72+12=84

and 35+7=42

finally divide 84/42 to get 2

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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The correlation coefficient {r} = 0.01 represents the worst correlation.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given are the correlation values as given in the image.

The correlation coefficient {r} = 0.01 represents the worst correlation. It is shows that the data is scattered to a very large extent and the dependency between the two variables is not mathematically structured according to some rule.

Therefore, the correlation coefficient {r} = 0.01 represents the worst correlation.

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Answer:

The smaller number is 27 and the larger number is 44

Step-by-step explanation:

Let x = the larger number

Let y = the smaller number

x + y = 71

x = y + 17  Substitute in y + 17 for x in the first equation.

x + y = 71

y +17 + y = 71  Combine the y's.

2y + 17 = 71  Subtract 17 from both sides of the equation

2y = 54  Divide both sides of the equation by 2

y = 27.  Plug 27 in for y for either of the two original equation to find x

x + y = 71

x + 27 = 71  Subtract 27 from both sides of the equation

x = 44

The incremental selling and administrative cost per unit incurred to sell these extra units is (C / 29,750) × 380.

To calculate the incremental selling and administrative cost per unit incurred to sell the 380 extra units, we need to know the total selling and administrative cost associated with producing and selling the entire batch of units.

Let's assume the total selling and administrative cost for producing and selling 29,750 units is C dollars. This cost includes all the expenses related to selling and administration, such as marketing, sales team salaries, administrative overhead, etc.

To calculate the incremental cost per unit, we can divide the total selling and administrative cost by the total number of units:

Incremental Cost per Unit = C / 29,750

Now, since we have an additional 380 units that would otherwise remain unsold, we need to calculate the cost for selling these additional units. We can do this by multiplying the incremental cost per unit by the number of extra units:

Incremental Selling and Administrative Cost = Incremental Cost per Unit × 380

The incremental selling and administrative cost per unit incurred to sell these extra units is (C / 29,750) × 380.

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Answer:

  3.85 minutes

Step-by-step explanation:

You want to know the time it takes for taxis traveling 33 mph and 45 mph toward each other to meet if they start 5 miles apart.

The speed at which the taxis approach each other is (33 mph +45 mph) = 78 mph. The time it takes to close the 5-mile gap is ...

  time = distance/speed

  time = (5 mi)/(78 mi/h) = 5/78 h ≈ 0.0641 h

In minutes, the time is ...

  (5/78 h)(60 min/h) = 300/78 min ≈ 3.85 minutes

__

Additional comment

That's about 3 minutes 50.8 seconds.

There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

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The excess data increases processing time and results in unnecessarily large disk files. if it is too high it runs out of processing time.

Sampling rate: Sampling rate can be seen as the audio version of frames per second. It is the number of “clips” taken from an analogue sound wave in order to make it a digital file. On top of this, sampling rate also controls the highest frequency that can be accurately reproduced by a digital file

If the sampling rate is too low, information is irreversibly lost and the original signal will not be represented correctly. If it is too high, there is no loss of information, but the excess data increases processing time and results in unnecessarily large disk files.

If the rate of samples is too high the system may not be able to process them fast enough - it runs out of processing time.

The disadvantage of higher sampling rates is: Higher rates use more space. The benefits are not as clear. It is possible that even though the human ear cannot hear frequencies above 20 KHZ, it may be able to perceive distortions that higher frequencies have on audible sound.

If lower sampling rates are used, the original signal's information may not be completely recoverable from the sampled signal. If the sampling frequency is too low, aliasing distortion can result. Aliasing is a major concern when using analog-to-digital conversion.

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Answer:

Aside from lengthening processing times, the extra data causes needlessly big disk files. If it is too high, there is not enough time for processing.

Step-by-step explanation:

What does sampling rate mean?

Sample size: Sampling rate can be thought of as the equivalent of frames per second for audio. The quantity of "clips" necessary to convert an analog sound wave into a digital file. In addition, sampling rate determines the greatest frequency that a digital file can faithfully reproduce.

If the sampling rate is too low, data is lost permanently and the original signal cannot be accurately recreated. No information is lost if it is too high, but the excess data lengthens processing time and produces

The system may not be able to process samples quickly enough if the rate is too high—it runs out of processing time.

Higher sample rates have the drawback of taking up more room. The advantages are not as obvious. The human ear may be able to detect distortions caused by frequencies exceeding 20 KHz even though it cannot hear those frequencies directly.

The information included in the original signal may not be entirely recoverable from the sampled signal if lower sampling rates are employed. Aliasing distortion can happen if the sampling frequency is too low. When using analog-to-digital conversion, aliasing is a significant risk.

Answer:

Bacterial population at the time of 10 hours = 1040000

Step-by-step explanation:

Let the function that defines the bacterial population after 'x' hours is,

p(x) = a(b)ˣ

Where a = Initial population

And 'x' = Duration or time

Since bacterial population is getting doubled every hour,

2a = a(b)¹

b = 2

Therefore, function will be,

p(x) = a(2)ˣ

From the graph attached,

Point (5, 32500) lies on the graph of the function.

32500 = a(2)⁵

a = \(\frac{32500}{32}=1015.625\)

Therefore, the function will be,

p(x) = 1015.625(2)ˣ

For x = 10 hours,

p(10) = 1015.625(2)¹⁰

        = 1040000 bacteria

\(\boxed{\sf 750~per/person}\boxed\)

\(3,000 / 4(people) = 750\\)

Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

:)

Answer:

$28.50

Step-by-step explanation:

Knowing that :
Brandon brought 21 chicken wings for $39.90

Asking:

How much would it cost for 15 Wings?

Solve:

We first need to know how much is 1 Wings.

To find that Divide Cost by chicken

Thus, 39.90 divide by 21..

=1.90

Hence, 1 Wings ⇒ 1.90

Then Multiply by 15 wings to find the cost of 15 wings.

1.90 * 15 = 28.50

Therefore, 15 Wings Cost $28.50

[RevyBreeze]

Answer:

15.1

Step-by-step explanation:

Usando la sustracción , se encuentra que la diferencia es de 31 grados centígrados.

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

\(D = a - b\)

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

La differencia es de:

\(D = 22 - (-9) = 22 + 9 = 31\)

La differencia es de 31 grados centígrados.

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Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

The correct answer is  7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.

Rational numbers are numbers which can be written in the form of \(\dfrac{a}{b}\) where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Assume that x be the seven square root three plus two square root nine ;

i.e. x = 7√3 + 2√9

Now

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

x = 7√3 + 6

Here, we can see that 7√3 is an irrational number and 6 is a rational number.

The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D is correct.

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The required value of the given expression at z = 6 is 51.

Given that,
The value of the expression z² + 3z - 3 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= z² + 3z - 3
Put z = 6 and simplify the expression,
= 6² + 3(6) - 3
= 36 + 18 - 3
= 54 - 3
= 51

Thus, the required value of the given expression at z = 6 is 51.

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Answer:

1.Location

2.shape

3.orientation

Step-by-step explanation:

Answer: Orientation

Step-by-step explanation:

Basically how the shape looks like on a graph for example a right side up triangle would look different from a upside down triangle

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

In order to determine the number of horses and geeses, construct a system of equations, as follow:

There are 37 animals. If y is the number of horses and x the number of geeses, then, you can write:

x + y = 37

Now, consider that each geese has two feet and each horse has four feet. Due to you count 102 feet, then you can write:

2x + 4y = 102

Then, the system of equations is:

x+ y = 37

2x+ 4y = 102

Solve the previous system as follow:

Multiply the first equation by -2, then sum the result to the second equation and solve for y:

-2(x+ y = 37)

-2x - 2y = -74

-2x - 2y = -74

2x+ 4y = 102

2y = 28

y = 28/2

y = 14

Replace the previous value of y into any of the equations of the system and solve for x:

x + 14 = 37

x = 34 - 14

x = 20

Hence, there are 14 horses and 20 geeses.

Systematic errors are consistently in the same direction

In contrast , random errors produce different values in random directions

Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.

Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable

An example that illustrates this difference are

Systematic errors are consistently in the same direction

for example they are always 50g , 1% or 99 mm too large or too small

In contrast , random errors produce different values in random directions

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8 laps time 1/4 mile is 2 miles .

Average speed in miles per hour:

2 mi / 12.5 min * 60 min/hour = 9.6 mph

Average velocity is zero, since velocity is directional and the person jogged around a track. [I mention that in case this was set up as a trick question.]

But if we're really looking for average speed in m/s we can easily convert:

A mile is about 1.6 km, so it's about 1600 m.

(2 mi * 1600 m/mi) / (12.5 min * 60 s/min) = 1800 / 750 = 2.4 m/s

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

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Answer:

Didi sweet Didi mark me brain list please

Answer:

The regular polygon has 72 sides ⇒ A

Step-by-step explanation:

The rule of the measure of an interior angle of a regular polygon is:

The measure of each angle = \(\frac{(n-2)180}{n}\) , where n is the number of its sides

Let us use this rule to solve the question

∵ The polygon is regular

∴ All sides are equal in lengths

∴ All interior angles are equal in measures

∵ The measure of an interior angle of the regular polygon is 175°

→ Substitute it in the rule above to find n

∴ 175° = \(\frac{(n-2)180}{n}\)

→ Multiply both sides by n to cancel the denominator in the right side

∴ 175 n = (n - 2)180

→ Multiply the bracket by 180

∴ 175 n = n(180) - 2(180)

∴ 175 n = 180 n - 360

→ Subtract 180 n from both sides

∵ 175 n - 180 n = 180 n - 180 n - 360

∴ - 5 n = - 360

→ Divide both sides by -5

∵ \(\frac{-5n}{-5}=\frac{-360}{-5}\)

∴ n = 72

∴ The regular polygon has 72 sides

(hope this helps <3 )

Answer:

B = 5.5

Step-by-step explanation:

Take 5 to R.H.S,

4b=22,

b=22/2,

b=5.5

The variance of a population is less than 5. Null hypothesis reflects the initial presumption or claim that something is true in this case and true option is : σ^2 ≥ 5.

In hypothesis testing, the null hypothesis (H0) represents the assumption or claim that is initially presumed to be true. In this scenario, we are interested in testing whether the variance of the population is less than 5.

The notation σ^2 represents the population variance, and the symbol ≥ denotes "greater than or equal to." Therefore, the correct null hypothesis is that the population variance is greater than or equal to 5 (σ^2 ≥ 5).

The other options listed are not correct for this scenario:

- σ < 5: This alternative hypothesis suggests that the population variance is strictly less than 5, which is not the hypothesis we want to test.

- σ < 25: This alternative hypothesis suggests a different value for the population variance, which is not what we are interested in.

- σ^2 ≥ 25: This alternative hypothesis sets a higher threshold for the population variance, which is not the hypothesis we want to test.

Therefore, the correct null hypothesis is σ^2 ≥ 5, indicating that the population variance is greater than or equal to 5.

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The volume of the right rectangular prism= 1/3 cubic inches

In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.

We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.

The length of the rectangular prism would be,

l = 12 × 1/6

l = 2 inches

The width of the rectangular prism would be,

w = 3 × 1/6

w = 1/2 inches

The height of the rectangular prism would be,

h = 2 × 1/6

h = 1/3 inches

so, the volume of the rectangular prism would be,

V = l × w × h

V = 2 × 1/2 × 1/3

V = 1/3 cubic inches

Therefore, the volume of the rectangular prism = 1/3 cubic inches

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ANSWER:

C) 1

STEP-BY-STEP EXPLANATION:

The value of k is determined by the value of the y-intercept in this case.

We can see that the y-intercept occurs when y = 1, therefore the value of k is 1.