The QUADRATIC curve-of-best-fit for the data in the table is given by the equation
A) y = 0.8x2 + 1.7x - 1.4.
B) y = 1.1x2 + 2.2x - 1.2.
C) y = 1.4x2 - 2.9x + 1.0.
D) y = 2.3x2 - 2.4x + 3.5

Based on the results from last month, the school can expect to make a profit of $900 on potato chips sales next month.

Calculate the number of potato chips sold last month: According to the table, the number of potato chips sold last month was 340.

Calculate the profit from potato chips sold last month: To determine the profit from potato chips sales last month, we multiply the number of potato chips sold by the profit per bag. Using the formula:

Profit = Number of Bags Sold * Profit per Bag, we have:

Profit from potato chips sold last month = 340 * $0.75 = $255.

Determine the expected number of potato chips to be sold next month: The problem states that the school expects to sell 1,200 bags next month.

Calculate the expected profit from potato chips next month: Using the same formula as before, we multiply the expected number of potato chips to be sold next month by the profit per bag:

Expected profit from potato chips next month = Expected number of bags sold * Profit per bag

=> 1,200 * $0.75 = $900.

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The number of pages that are filled with coins is 60

A percentage is a minimum number or ratio that is measured by a fraction of 100.

We are given that Jay has an album that holds 800 coins. Each page of the album holds 8 coins. If 40% of the album is empty.

If there are 6 coins on each page, then the number of pages for 600 coins will be:

(800coins)/(8 coins/page) = 100 pages

If 40% are empty, then 100% - 40% = 60% are filled.

The number of filled pages is:

60% × 100 = 60/100 × 100 = 60 pages filled

Hence, the number of pages that are filled with coins is 60

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Answer:

1.) -7

A. Rational

B. Irrational

C. Natural

D. Whole

E. Integer

2.) -√81

A. Rational

B. Irrational

C. Natural

D. Whole

E. Integer

3.) 8.444....

A. Rational

B. Irrational

C. Natural

D. Whole

E. Integer

4.) 9/10

A. Rational

B. Irrational

C. Natural

D. Whole

E. Integer

5.) √42

A. Rational

B. Irrational

C. Natural

D. Whole

E. Integer

Answer:

364m^2

Step-by-step explanation:

Surface area is calculated by adding the area of each face.

Because this is a cubiod, there are 6 sides in pairs of identical area.

4m × 5m = 20m^2

4m × 18m = 72m^2

5m × 18m = 90m^2

90m^2 +72m^2 +20m^2 = 182m^2

This is 3 faces of the 6, so double it.

182m^2 ×2 = 364m^2

Answer:

its 26

Step-by-step explanation:

i did that already

Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x                     as an hourly rate,

Solution

55 = 10 + 4*3.75x                                Combine

55 = 10 + 15x                                       Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x                                               Divide by 15

45/15 = 15x/15

x = 3 hours

Answer 3 hours  

Answer:

a

Step-by-step explanation: codigo binario

Step-by-step explanation:

your answer in roster method is

(1,2,3,4,5 and 6)

The number of tiles that are white if there are 12 tiles in total will be 9.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement.

In this case, there are 3 times as many white tiles as there are shaded.

The number of tiles that are white if there are 12 tiles in total will be:

3x + x = 12

4x = 12

Divide

x = 3

Shaded tiles = 3

White tiles = 3x

= 3 × 3

= 9

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Answer:

The amount that James will raise for the charity is $865.

Step-by-step explanation:

Total distance to cover = 5 miles.

He had received $800 in fixed pledges, and raises $13 for every mile he walks. Let the mile he walks be represented by d, and the amount he would raise by A.

So that,

A = $(13d + 800)

But, d = 5 miles.

thus,

A = $(13 x 5 + 800)

   = $865

Thus,

amount he would raise = $865

James would be able to raise $865 for the charity after the walk.

Answer:

1+√3

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * AC * BD

We need to get AC

AC = AD+DC

Get base AD using SOH CAH TOA

tan 45 = 4/AD

AD = 4/tan45

AD = 4/1

AD = 4

Get DC

tan 30 = 4/DC

DC = 4/tan 30

DC = 4/(1/√3)

DC = 4√3

AC = 4 + 4√3

AC = 4(1+√3)

Get the Area of the triangle

Area = 1/2 * 4 *  4(1+√3)

Area of the triangle = 1+√3

Answer:

C

Step-by-step explanation:

The graph is showing a slope of 3/2. The only option showing this slop is c.

Answer:c

Step-by-step explanation::Add all the absolute deviations and divide by number of swimmers. Step-by-step explanation:

Answer:

The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties

Step-by-step explanation:

Answer:

25 percent

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

ndld

Answer:

sin ∠D = 24/25

Step-by-step explanation:

sin = opposite / hypotenuse

Looking at ∠D, the opposite side is 24, hypotenuse is 25

Therefore sin = 24/25

In the given statement, "there appears to be in the data at 26", the author is referring to the presence of an outlier in the dataset.

When an outlier is present in a data set, it can significantly affect the mean or average value. The mean is the sum of all the data points divided by the total number of data points.

The shape of the distribution can be affected by the presence of an outlier as well. A typical distribution would have a symmetrical shape, with the majority of the data clustered around the center. However, if an outlier is present, it can skew the distribution and make it appear lopsided.

If we remove the outlier, we can assume that it would be more symmetrical than it was before. As for the miles per gallon, we don't have enough information to determine the range or distribution. Therefore, we cannot estimate the mean without further data.

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Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.

The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).

The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).

The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).

The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).

Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

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Cobb's arguments about p-value is about the uncertainty of data that p-value represents. It doesn't signify truth and must be comprehended in the setting of other variables.

A p-value of 0.05 specifies that the possibility of observing the result by chance is 5%, but the other aspect of that is that it also shows that there is a 95% probability of obtaining a result that is not due to chance.

Cobb argues that other variables such as multiple testing, confounding variables, or sampling variability can affect the p-value's precision. The p-value is considered invalid in the presence of any

or sampling variability, as it may mislead the results. A p-value is also vulnerable to multiple testing, which is when numerous evaluations are done on the same data. When performing multiple testing, a more conservative p-value is required to regulate for the risk of an accidental Type I error.

Cobb's argument emphasizes that while the p-value is essential for hypothesis testing, it should not be the sole determinant of data's validity. Researchers must consider other sources of variability when interpreting p-values to determine if they support or refute a hypothesis.

Hence, p-value alone should not be considered conclusive, and one must consider other sources of data to make decisions.

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The auditory canal would resonate at approximately 7154.17 Hz and 14304.35 Hz for the first two harmonics. The corresponding sound wavelengths would be approximately 0.048 m and 0.024 m for the fundamental frequency and second harmonic, respectively.

To determine the resonant frequencies of the auditory canal in its first two harmonics, we can use the formula for the resonant frequencies of a closed-end cylindrical tube:

f = (n * c) / (2L)

Where:

f = resonant frequency

n = harmonic number (1 for the fundamental frequency, 2 for the second harmonic, and so on)

c = speed of sound in air (approximately 343 m/s at room temperature)

L = length of the auditory canal (2.4 cm = 0.024 m)

A. Resonant frequencies in the first two harmonics:

For the fundamental frequency (n = 1):

f₁ = (1 * 343) / (2 * 0.024) ≈ 7154.17 Hz

For the second harmonic (n = 2):

f₂ = (2 * 343) / (2 * 0.024) ≈ 14304.35 Hz

B. Corresponding sound wavelengths in part A:

The wavelength of a sound wave can be determined using the formula:

λ = c / f

For the fundamental frequency (n = 1):

λ₁ = 343 / 7154.17 ≈ 0.048 m (or 4.8 cm)

For the second harmonic (n = 2):

λ₂ = 343 / 14304.35 ≈ 0.024 m (or 2.4 cm)

Therefore, the auditory canal would resonate at approximately 7154.17 Hz and 14304.35 Hz for the first two harmonics. The corresponding sound wavelengths would be approximately 0.048 m and 0.024 m for the fundamental frequency and second harmonic, respectively.

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Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

so Sin(x) = d/f

Cos(x) = e/f

Tan(x) = d/e

got it? :)

Answer: sin= d/f

cos= e/f

tan= d/e

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

Therefore, after answering the given query, we can state that The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

The biggest common divisor of multiple non-zero integers is defined in mathematics as the highest significant integer the fact that divides the associated integers. The sum of two or more integers is the greatest common variable (HCF) of those numbers. It is commonly referred to as a most common divisor as a result. (GCF). To find the largest common divisor, take the prime values of each of the two (or a number of) integers and identify the shared prime factors. The largest common divisor after that is the sum of all the prime factors. The greatest common factor of a given number is determined by dividing it by the largest integer.

A. The polynomial 4x2 + 4x + 1 must be factored into its prime components in order to determine its GCF (Greatest Common Factor). However, using integers or rational numbers, this equation cannot be factored any further. Consequently, this polynomial's GCF is 1.

B. The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

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Angle A is a central angle and is equal to twice the measure of the corresponding inscribed angle. In this case, angle C is the corresponding inscribed angle.

Since angle C is inscribed in circle O and AB is a diameter, angle C is a right angle (90 degrees). Therefore, angle A is equal to 2 times 90 degrees, which is 180 degrees.

Angle A is a central angle, which means it is formed by two radii of the circle that intercept an arc. In this case, AB is a diameter of circle O, which means it passes through the center of the circle. Since angle C is inscribed in circle O, it is formed by two radii that intercept an arc. In other words, angle C is the angle formed by AB and another radius of the circle. Since AB is a diameter, it forms a right angle with any other radius.

Therefore, angle C is a right angle, which measures 90 degrees.
Now, we know that angle A is equal to twice the measure of the corresponding inscribed angle, which is angle C.

Therefore, angle A is equal to 2 times 90 degrees, which simplifies to 180 degrees. So, the measure of angle A is 180 degrees.

Angle A, when AB is a diameter of circle O and angle C is an inscribed angle, measures 180 degrees. This is because angle A is a central angle and is equal to twice the measure of the corresponding inscribed angle.

In this case, angle C is the corresponding inscribed angle, which is a right angle measuring 90 degrees. Therefore, angle A measures 180 degrees.

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Answer:

If your question looks like this, then the answer is 53

Answer:

0.875

Step-by-step explanation:

The other root of the polynomial is 5 + 7i.

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. Polynomials are sums of monomials of the form ax^n, where n (the degree) must be a whole number and a (the coefficient) can be any real number. The greatest degree monomial in a polynomial determines the polynomial's degree. Polynomials can be prime or factorable into products of primes, just like whole numbers. As long as each variable's power is a non negative integer, they can include any number of variables. They serve as the foundation for solving algebraic equations.

As per the given data:

One root of a polynomial is 5 - 7i

For finding the other root:

Consider the quadratic formula:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

From here, we can observe that imaginary roots will always occur in a pair.

So if one root is a + ib the other will be a - ib.

Similarly, for 5 - 7i the other root will be 5 + 7i.

Hence, the other root of the polynomial is 5 + 7i.

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