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Compare the function represented by the table to the function represented by the graph to determine which statement is true.
A) The tabled function has a lower minimum value.
B) The tabled function has a greater maximum value.
C) The graphed function has a lower minimum value.
D) The graphed function has a greater maximum value. Eliminate

A graph cannot intersect its vertical asymptote. A graph can intersect is horizontal asymptote. A graph that intersect its vertical asymptote is not a valid function.

Asymptote is a line that touches the graph of a function only at infinity but it never touches its vertical asymptotes but it can touch its horizontal asymptote and that too at +∞ , -∞. The older definition of asymptotes implies it cannot intersect the graph but recent discoveries shows it is not the case. For example vertical asymptotes,

The graph of \(x^{2}\)  / \(x^{2} +1\) has x- axis as its horizontal asymptotes and it intersects at origin. Also \(\frac{sin(x)}{x}\) is asymptotic to y=0 as x→∞

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Answer:

-9x is negative but the answer of the whole problem would be 0.

The set up to solve the approximate length of the hypotenuse is;

a² = 2² + 4²

This is a theorem stating that the square of the longest side, that is, the hypotenuse is equivalent to the sum of the squares of the other two sides;

This is represented as;

a² = b² + c²

Given that the sides are;

Substitute the values, we get;

a² = 2² + 4²

a² = 4 + 16

add the values

a² = 20

Find the square root of both sides

a = √20

a = 4.47

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Answer:

It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!

Answer: 39/100 and percentage is 39%

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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1. We can see here that logistic regression does not show results as 0 or 1.

2. Logistic regression does not use probability, but uses log odds to express probability.

3. 3. Logistic regression analysis can be applied

Logistic regression is a powerful tool that can be used to predict the probability of an event occurring.

1. Logistic regression is seen to not show results as 0 or 1 because the probability of an event occurring can never be exactly 0 or 1.

2. Thus, logistic regression does not use probability, but uses log odds to express probability because the log odds are a more stable measure of the relationship between the independent variables and the dependent variable.

3. Logistic regression analysis can be applied even if the relationship between probability and independent variables actually has a J shape rather than an S shape.

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The total distance ran by Johnny after he left the house is D = 31 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as D

Now , the value of D is

Substituting the values in the equation , we get

Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles

So , D = 2 + 6 + 3 + 10 + 8 + 2

On simplifying the equation , we get

D = 31 miles

Hence , the distance is D = 31 miles

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Answer:

A. 42 peaches and 56 strawberries

Step-by-step explanation:

3 · 14 = 42

4 · 14 = 56

Caroline saved $3. 84 on a discounted item that was marked down 15% off of the original price of the item. What was the original price of the item before the discount, the original price of the item was $4.52 before the discount.

Let the original price of the item be $x. The item was marked down by 15%, so the discounted price is 85% of the original price. This is equivalent to saying that the discounted price is 100% - 15% of the original price. Mathematically, we can write this as: 0.85x = discounted price

Since Caroline saved $3.84 on the discounted item, we can write an equation that equates the amount she paid for the item to the discounted price minus the amount she saved. Mathematically, we can write this as:

0.85x - 3.84 = amount paid

Solving for x (the original price) requires us to rearrange the equation to isolate x. Mathematically, we can write this as:

x = (amount paid + 3.84) / 0.85

Substituting in the given values gives: x = ($0.00 + $3.84) / 0.85 = $4.52

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The trigonometric function plot in Cartesian plane is shown below.

In this question we must create a graph of a trigonometric function, tangent function. The complete procedure is summarized below:

Step 1:

x = 0

tan 0 = 0

tan (π / 4) = 1

tan (π / 2) = NaN

tan (3π / 4) = - 1

tan π = 0

tan (5π / 4) = 1

tan (3π / 2) = NaN

tan (7π / 4) = - 1

tan 2π = 0

Step 2 & 3 - The result is shown in the image attached below.

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The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

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The probability that he rolls a sum equal to 4 is 3 / 36 or 1 / 12. Then the correct option is B.

Given that:

Two dice are rolled.

The total number of samples is calculated as,

⇒ 6²

⇒ 6 x 6

⇒ 36

The sample space for two dice is given as,

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

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

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

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

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

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

The probability is given as,

P = (Favorable event) / (Total event)

The probability that he rolls a sum equal to 4 is calculated as,

P = 3 / 36

P = 1 / 12

Thus, the correct option is B.

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Answer:

Step-by-step explanation

Left at 6:15 am

How many hours until 2:15pm? 8 hours

How many minutes from 2:15 until 2:30? 15

So it took 8 hours and 15 minutes

Let us solve right hand side and make it equal to left hand side .

Given expression,

cot2B = (cos B - sinBtanB) / secBsin2B

Basic trigonometric functions,

tanB = sinB/cosB

cotB = cosB/ sinB

secB = 1/cosB

sin2B = 2sinBcosB

cos²B - sin²B = cos²B

Now,

LHS = (cos B - sinBtanB) / secBsin2B

Further,

= (cosB - sinB×sinB/cosB) / secB 2sinBcosB

= (cos²B - sin²B) / cosB × 1/ cosB × 2sinBcosB

= (cos²B - sin²B) / sin2B

= cos2B / sin2B

=cot2B

Hence proved.

Thus with trigonometric identities we can prove LHS = RHS.

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The minimum cost of manufacturing refrigerators is $104,000 when 400 refrigerators are produced.

The cost of manufacturing x refrigerators is given by the function c(x) = 8000 + 400x - 0.5x^2, where x is the number of refrigerators produced and c(x) is the cost of manufacturing x refrigerators.

The function is a quadratic equation in x, with a negative coefficient for the x^2 term, indicating that the cost function is a downward-facing parabola. The vertex of the parabola represents the minimum cost of manufacturing refrigerators, which occurs at x = -b/2a, where a = -0.5 and b = 400.

To find the minimum cost of manufacturing refrigerators, we can use the formula x = -b/2a = -400/(2*(-0.5)) = 400. Therefore, the minimum cost occurs when 400 refrigerators are produced.

Substituting x = 400 into the cost function, we get: c(400) = 8000 + 400(400) - 0.5(400)^2 = $104,000.

Therefore, the minimum cost of manufacturing refrigerators is $104,000 when 400 refrigerators are produced.

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Answer:

Option C - 4.71

Step-by-step explanation:

We are given the Test statistic for proportion as;

z = (^p − p)/√pq/n

From the question;

^p = 0.15

p = 0.1

q = 1 - 0.1 = 0.9

n = 800

z = (0.15 - 0.1)/√(0.1 × 0.9/800)

z = 0.05/√(0.09/800)

z = 4.71

Answer:

1. yes

2. no

3.no

Step-by-step explanation:

You can just distribute to see if it matches up with the other expression.

Translation, rotation, and reflection are three of the fundamental transformations.

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Answer:

the answer is b. 33

Step-by-step explanation:

because a composite number is a positive integer that can be formed by multiplying two smaller positive. so if you think about the only answer that is the prime would be 33 which is b.

Answer:

10

Step-by-step explanation:

To find the median in a set of data, organize the data from least to greatest.

Here, our data is the homework scores, those being:

10, 7, 8, 12, 9, 11, 13

Let's organize them in ascending order, like so:

7, 8, 9, 10, 11, 12, 13

The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.

We can find that the number in the middle is 10.

Thus, the median of the scores is 10.

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

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Answer:

E. 88 inches squared

Step-by-step explanation:

First we will calculate the total area(including the area of the picture):

Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12

Step 2(Finding total area): 12 * 14 = 168

Now we will find the area of the picture and subtract it from the total area to get the area of the frame:

A= 8*10= 80

168 -80 =88 inches squared

Hope this helps!

Answer:

E(88)

Step-by-step explanation:

first find the area of the photograph : 8*10=80 square inches

the length of the whole frame in including the photograph is:

8+2 inches+2 inches=12 inches

the width is 10+2+2=14 inches

the area of the whole frame=12+14=168 inches square

the area of the border=168-80=88 inches square

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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Answer:

It is D

Step-by-step explanation:

The correct order of energy transformations that are seen in the electrical cars are:

This is what is also known as energy conversion. It is the way that energy is converted from one form to another form.

In the case of electrical cars. energy is transformed from radiant energy to electrical energy and then to mechanical energy.

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One of the ways to achieve 8 possible outcomes is with 2 color choices and 4 style choices.

The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

There are two choices for this problem, given as follows:

With two choices for the color and four for the style, or vice versa, there will be 8 possible outcomes, as 2 x 4 = 4 x 2 = 8.

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Answer:

coordinates for vertex are (5, -9)

Step-by-step explanation:

Given

\(a=1\\\\b=-10\\\\c=16\)

using the formula for the x coordinate of the vertex which is \(\frac{-b}{2a}\) it yields:

\(x_{vertex}=\frac{-(-10)}{2}=5\)

We now have the x-coordinates of the vertex, by applying the x coordinate in the equation we get:

\(5^2-(10\times 5)+16\\\\=25-50+16\\\\=-9\)

thus the \(y_{vertex}=-9\)

Thus the coordinates of the vertex should be (5, -9)