35 points ill literally love you forever if you help me with this

x^2-18x=40 by Completing the Square
pls show the steps!!

Answer:

y = −3/1 x−2

​

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

No, a constant is a number without a variable ( variables are represented with a letter )

y is a variable as it is a letter.

The constant in y + 2z + 45 + 5x would be 45 as it has no variable.

The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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The solution of the given inequality 4(x² - 5) - (x² - 5)² > -12 is x ≥ √3 or x ≤ -√3.

The given inequality is 4(x² - 5) - (x² - 5)² > -12. In order to solve the given inequality, first, we will multiply (x² - 5)² by -1 to get rid of the squared term. Next, we will simplify the terms by using the distributive property. Then, we will collect the like terms and solve the inequality.

Multiply (x² - 5)² by -1. => -(x² - 5)² = -x⁴ + 10x² - 25

Now, the given inequality is:

4(x² - 5) - (x² - 5)² > -12

4(x² - 5) + x⁴ - 10x² + 25 > -12

Simplify the terms by using the distributive property:

4x² - 20 + x⁴ - 10x² + 25 > -12

Simplifying further:

x⁴ - 6x² + 13 > 0

Collect like terms and solve the inequality:

(x² - 3)² + 4 > 0

As the square of any number is always greater than or equal to 0, so

(x² - 3)² ≥ 0 ⇒ (x² - 3)² + 4 ≥ 4

Hence, x² - 3 ≥ 0 ⇒ x² ≥ 3 ⇒ x ≥ ±√3

Therefore, the solution of the given inequality is x ≥ √3 or x ≤ -√3.

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The first car has a higher miles per gallon rating with 27.03

The miles per gallon (mpg) rating for a car, we can use the formula

mpg = 100 / (gallons per 100 miles)

For the first car with a rating of 3.7 gallons per 100 miles

mpg = 100 / 3.7 ≈ 27.03 mpg

For the second car with a rating of 4.3 gallons per 100 miles

mpg = 100 / 4.3 ≈ 23.26 mpg

Comparing the two mpg ratings, we find that the first car has a greater mpg rating of 27.03 mpg compared to the second car with a rating of 23.26 mpg. Therefore, the first car has a higher mpg rating.

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Answer:

The side lengths of the triangle are 14, 16, and 18.

Step-by-step explanation:

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

(14) = 14

(14 + 2) = 16

(14 + 4) = 18

The required lengths of side of triangle are 14 in, 16 in and 18 in.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x+2 and x +4.

x + x + 2 + x + 4 = 48

3x = 48 - 6

3x = 42

x = 14

The length of the triangles  

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

The side lengths of the triangle are 14, 16 and 18.

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Given data:

1. The mean rain intensity

2. The median rain intensity,

3. The rain intensity mode (intensity with the highest frequency)

Therefore,

The mean : 3.7

The median : 4

The mode: 6

The scale of measurement of a variable determines the type of statistical analysis and graphical representation that can be used. It affects decisions about statistics and graphics because the scale of measurement determines the meaningful operations and relationships that can be established between the variables.

There are four levels of measurement: nominal, ordinal, interval, and ratio.

1. Nominal measurement: This type of measurement is used for categorical variables, such as gender, occupation, or color. Nominal measurement does not have a meaningful ordering or quantitative difference between values. For this reason, statistical analysis of nominal data is limited to descriptive statistics, such as frequency tables, and bar graphs or pie charts can be used to represent the data.

2. Ordinal measurement: Ordinal measurement is used for variables that have a meaningful ordering, but no quantitative difference between values, such as levels of education or income. Statistical analysis of ordinal data is limited to non-parametric tests, such as chi-square tests or contingency tables, and bar graphs or histograms can be used to represent the data.

3. Interval measurement: This type of measurement is used for variables that have a meaningful ordering and a quantitative difference between values, such as temperature or date. Interval measurement does not have a true zero point, meaning that the difference between values is meaningful, but ratios are not meaningful. For this reason, statistical analysis of interval data can include parametric tests, such as t-tests or ANOVA, and line graphs or scatterplots can be used to represent the data.

4. Ratio measurement: Ratio measurement is used for variables that have a meaningful ordering, a quantitative difference between values, and a true zero point, such as height, weight, or income. Ratio measurement allows for meaningful ratios, meaning that the difference and ratios between values are meaningful. Statistical analysis of ratio data can include both parametric and non-parametric tests, and line graphs, scatterplots, and histograms can be used to represent the data.

In conclusion, the scale of measurement affects decisions about statistics and graphics because it determines the meaningful operations and relationships that can be established between variables and the type of statistical analysis and graphical representation that can be used.

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In an independent-measures design experiment with two treatment conditions and 22 scores in each condition, a total of 44 subjects participated in the experiment.

To determine the number of subjects who participated in the experiment with an independent-measures design and 22 scores in each treatment condition, you simply need to add the number of scores in each condition together.

A researcher conducts an experiment comparing two treatment conditions with 22 scores in each treatment condition. If the researcher used an independent-measures design, how many subjects participated in the experiment are as follows:

Step 1: Identify the number of scores in each treatment condition.
There are 22 scores in each of the two treatment conditions.

Step 2: Add the number of scores in both treatment conditions together.
22 scores (from treatment condition 1) + 22 scores (from treatment condition 2) = 44 scores

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Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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The missing number to complete the proportion is 1

Proportion defines that the two given ratios are equivalent to each other. That is two ratios (or fractions) are equal e.g 2:6 = 1:3

Given: 14 seats in 2 rows = 7 seats in ___rows

If each row in a classroom has equal seats. If there are 14 seats in 2 rows of the classroom then we can say there are 7 seats in each row (1 row).

Thus, 14 seats in 2 rows = 7 seats in 1 row

Therefore,  the missing number to complete the proportion is 1. You should type 1

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Answer:

Ask Siri

Step-by-step explanation:

The 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

Prime factors of a number are the set of prime numbers which when multiplied by together give the actual number.

Factors of 124 are integers that can be divided evenly into 124.

There are overall 6 factors of 124 among which 124 is the biggest factor and 1, 2, 4, 31, 62, 124 are positive factors.

The Prime Factors and Pair Factors of 124 are 2 × 31 and (1, 124), (2, 62), (4, 31) respectively.

Hence, the 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

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Using the gradient of the curve given, the value of a is 6

The stationary point of a curve is a point where the slope of the curve is equal to zero. So, to find the value of a, we need to set the derivative of the curve equal to zero and solve for x.

dy/dx = 2(x + 3)^(1/2) - x

Setting this equal to zero, we have:

2(x + 3)^(1/2) - x = 0

Expanding the square root and rearranging, we get:

x = 2(x + 3)^(1/2)

Squaring both sides of the equation, we have:

x^2 = 4(x + 3)

Expanding the right side and rearranging, we have:

x^2 - 4x - 12 = 0

Using the quadratic formula, we can find the values of x that satisfy this equation:

x = [-(-4) ± √((-4)^2 - 4(1)(-12))] / 2(1)

x = [4 ± √(16 + 48)] / 2

x = [4 ± √64] / 2

x = [4 ± 8] / 2

So, the two possible values of x are:

x = 6, x = -2

Since we are looking for a positive value of x, the only solution that works is x = 6.

Therefore, the value of a is equal to 6.

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Answer:

trinomial

Step-by-step explanation:

-x² - 1/2 + x

if you are asking for the specific name, it is a trinomial because there are 3 terms.

The arc length L of the curve defined by the equation y = eˣ/16 + 4e⁻ˣ over the interval 0 < x < 10 is (10e⁵/16) + (5e⁻¹⁰/16) + (4ln(e⁵ + 16)) - (4ln(16)).

To determine the arc length of the curve, we can use the formula for arc length in calculus. The formula states that for a function y = f(x) over an interval [a, b], the arc length L is given by the integral of the square root of (1 + (f'(x))²) with respect to x, evaluated from a to b. In this case, the function is y = eˣ/16 + 4e⁻ˣ, and we need to find the arc length over the interval 0 < x < 10.

To begin, we calculate the derivative of the function: y' = (eˣ/16) - (4e⁻ˣ). Next, we square the derivative and add 1 to obtain (1 + (y')²) = 1 + ((eˣ/16) - (4e⁻ˣ))². Integrating this expression with respect to x over the interval 0 to 10 gives us the desired arc length.

To evaluate the integral, we split it into four parts: the integral of eˣ/16, the integral of 4e⁻ˣ, and the two logarithmic integrals involving

natural logarithm (ln). After integrating each term and applying the limits, we arrive at the final result of (10e⁵/16) + (5e⁻¹⁰/16) + (4ln(e⁵ + 16)) - (4ln(16)).

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Answer:

n = infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

14n + 34 = 2(17 + 7n)

Step 2: Solve for n

Here we see that n can be any number. Therefore, n has an infinite amount of solutions.

In a right triangle with both legs having length 1, the length of the hypotenuse is √2, and when a line of length 1 is drawn perpendicular to the hypotenuse, the length of the new hypotenuse remains √2.

In a right triangle with both legs having a length of 1, we can use the Pythagorean theorem to find the length of the hypotenuse.

By applying the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have:

h² = 1² + 1²

h² = 1 + 1

h² = 2

Taking the square root of both sides, we find:

h = √2

So, the length of the hypotenuse in the original right triangle with both legs having a length of 1 is √2.

Now, if we draw a line of length 1 perpendicular to the hypotenuse and create a new triangle, we form two smaller right triangles. In this case, each of the smaller right triangles is a 45-45-90 triangle.

In a 45-45-90 triangle, the length of the hypotenuse is equal to √2 times the length of either leg. Therefore, the length of the new hypotenuse in the smaller triangle is:

√2 × 1 = √2

So, the length of the new hypotenuse is also √2.

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The Solution:

The correct answers are ticked in the picture below:

Therefore, the correct answers are:

[ option 2 ]

[ option 2 ]

[ option 3 ]

The exposure variable in the cohort study was consumption of artificially sweetened beverages.

The exposure variable in a cohort study refers to the factor that researchers are interested in studying to determine its potential association with an outcome. In this case, the exposure variable was consumption of artificially sweetened beverages.

The researchers looked at how often individuals consumed these beverages, and the amount or frequency of consumption may have been measured to assess the exposure. The researchers aimed to investigate whether there was a relationship between consumption of artificially sweetened beverages and the outcomes of incident stroke and dementia.

Therefore, the exposure variable in the cohort study was artificially sweetened beverage consumption.

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Answer:

The equation is = I = \(e^{4.8}\)

Step-by-step explanation:

As given ,

M - magnitude of an earthquake

I - intensity of earthquake

I₀ - intensity of a reference earthquake

The relation between the three is as follows :

M = log(\(\frac{I}{I0}\) )

As given -

M = 4.8,  I₀ = 1

⇒ 4.8 = log(\(\frac{I}{1}\)) = log(I)

⇒ 4.8 = log(I)

⇒I = \(e^{4.8}\)

So, the equation becomes I = \(e^{4.8}\)

The volume of the scoop of ice cream is 113.14 cm³.

The height of the cone that would keep the ice cream from spilling is 12cm.

Volume of a sphere = 4/3 x pi x r^3

4/3 x (3^3) x 22/7 = 113.14 cm³

Volume of the ice cream / 1/3(nr^2)

113.14 / (1/3 x 22/7 x 3^3) = 12 cm

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Answer: 1.8 miles per week

Step-by-step explanation:

The European lynx travelled for 301 days and in that time covered a distance of 77.8 miles.

Convert the number of days to weeks:

= 301 / 7

= 43 weeks

If it travelled 77.8 miles in 43 weeks, its speed was:

= 77.8 / 43

= 1.8 miles per week

Answer:

\(x=\frac{ab}{a+b}\)

Step-by-step explanation:

Combine the two fractions on the right by using the common denominator ab.

\(\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}\)

If two quantities are equal, then their reciprocals are equal.

\(x=\frac{ab}{b+a}\)

Answer:

x = \(\frac{ab}{b+a}\)

Step-by-step explanation:

Given

\(\frac{1}{x}\) = \(\frac{1}{a}\) + \(\frac{1}{b}\)

Multiply through by abx ( the LCM of denominators ) to clear the fractions

ab = bx + ax ← factor out x from each term on the left side

ab = x(b + a) ← divide both sides by (b + a)

\(\frac{ab}{b+a}\) = x

The exact area of the region described is 771/50 square units.

To find the area of the region described, we need to determine the points of intersection of the given curves and then calculate the area enclosed by those curves.

First, let's find the points of intersection by setting the equations equal to each other:

y - 2(x + 1) = y - 3(x + 1)

x - 5 = y - 2(x + 1)

Simplifying these equations, we get:

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

3x - y - 7 = 0 ----(2)

To find the points of intersection, we can solve this system of equations.

Subtracting equation (2) from equation (1), we get:

-5x + 8 = 0

x = 8/5

Plugging this value of x into equation (1), we get:

-2(8/5) - y + 1 = 0

-16/5 - y + 1 = 0

y = 16/5 - 1

y = 11/5

So the points of intersection are (8/5, 11/5).

Now, let's determine the region bounded by these curves.

The curves y - 2(x + 1) and y - 3(x + 1) intersect at (8/5, 11/5), and the curve x - 5 intersects the x-axis at x = 5.

To find the area, we integrate the upper curve and subtract the lower curve with respect to x, over the interval [5, 8/5]:

Area = ∫[5, 8/5] [y - 2(x + 1)] - [y - 3(x + 1)] dx

Simplifying, we get:

Area = ∫[5, 8/5] -x - 1 dx

Integrating, we have:

Area = [-x^2/2 - x] evaluated from 5 to 8/5

Substituting the limits of integration, we get:

Area = [-(8/5)^2/2 - 8/5] - [-(5)^2/2 - 5]

Simplifying, we get:

Area = [-64/50 - 8/5] - [-25/2 - 5]

Area = [-64/50 - 40/50] - [-25/2 - 10/2]

Area = [-104/50] - [-35/2]

Area = -104/50 + 35/2

Area = (-104 + 875) / 50

Area = 771/50

Therefore, the exact area of the region described is 771/50 square units.

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Answer: Non- Statistical

Step-by-step explanation:

It just isn't

Answer:

Step-by-step explanation:

No it’s not because it’s supposed to be like how much do you weigh or sumthin like that but the answer is no

~tye!

Answer:

The answer is B Q and V

Step-by-step explanation:

Answer:

The answer is B Q and V

Step-by-step explanation:

I did it

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Answer:

Step-by-step explanation:

Kaitlin: y = 60x + 750

y = 60(19) + 750

     1140 + 750 = $1890 total

The score assigned by the logistic regression classifier to the positive class is 8.

In logistic regression, the score assigned to a class is calculated by taking the dot product of the weight vector and the feature vector, and adding the bias term. Here, the weight vector is [2, 5, -10, 0, -1], the feature vector is [0, 1, 1, 3, -5], and the bias term is 0.

To calculate the score for the positive class, we multiply each corresponding element of the weight vector and feature vector, and sum up the results.

(2 * 0) + (5 * 1) + (-10 * 1) + (0 * 3) + (-1 * -5) + 0 = 8

Therefore, the score assigned by the classifier to the positive class is 8.

The cross-entropy loss is a measure of how well the classifier is performing. It quantifies the difference between the predicted class probabilities and the true class labels. In logistic regression, the cross-entropy loss is given by the formula:

-1 * (y_true * log(y_pred) + (1 - y_true) * log(1 - y_pred))

Where y_true is the true label (0 for NEG and 1 for POS) and y_pred is the predicted probability for the positive class.

If the correct label for the example is POS, the cross-entropy loss would be calculated using y_true = 1 and y_pred = sigmoid(score). In this case, the score is 8, and the sigmoid function squashes the score between 0 and 1.

If we assume the correct label is NEG, then the cross-entropy loss would be calculated using y_true = 0 and y_pred = sigmoid(score).

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