Show f(x)=e" and g(x) : = ze linearly independent by finding its Wronskian.

5 square root - 2 square root is 0.821854415 and it is rational.

Given,

5 square root - 2 square root

That is,

√5 - √2

We have to find this is rational or not.

First we have to solve the equation:

√5 - √2 = 0.821854415

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

So, here 0.821854415 is a rational number.

That is, 5 square root - 2 square root is  rational.

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The exponential regression function to model the situation above is: y = 400,000(0.841)^x

The exponential regression function to model the situation is:

y = ab^x

where,

y = flour in grams

x = number of weeks since the bakery opened

a = initial amount of flour (Y-intercept) = 400,000 grams

b = growth factor

To find the value of b, we can use any two points from the table. Let's use the first and second points.

When x = 0, y = 400,000

When x = 1, y = 336,400

Substituting these values in the equation, we get:

400,000 = ab^0

336,400 = ab^1

Simplifying these equations, we get:

a = 400,000

b = 0.841

Therefore, the exponential regression function is:

y = 400,000(0.841)^x

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Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Given a ferris wheel has a diameter of 225 feet and a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, we need to find the angle of rotation to the nearest degree.

We will solve the problem by using the formula of the length of the arc of a sector which is given by L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle of rotation. First, we need to find the radius of the ferris wheel which is half of its diameter. Therefore, radius, r = 225 / 2 = 112.5 feet. The length of the arc covered by the passenger is 38 feet, so we can substitute the values of L and r in the formula of the length of the arc of a sector to get 38 = 112.5θ. Therefore, the angle of rotation, θ = 38 / 112.5 = 0.34 radians.To convert radians to degrees, we use the formula θ (in degrees) = θ (in radians) × 180° / π. Substituting the value of θ in degrees, we get θ (in degrees) = 0.34 × 180° / π = 19.47° ≈ 19°.Therefore, the angle of rotation of the ferris wheel to the nearest degree is 19 degrees. We can conclude that the angle of rotation is much smaller than a quarter of a complete circle which is 90 degrees. This is expected as the length of the arc covered by the passenger is much smaller than the circumference of the ferris wheel which is about 706.86 feet. Hence, the passenger travels only a small fraction of the circle which corresponds to a small angle of rotation of the ferris wheel.

The angle of rotation of the ferris wheel to the nearest degree is 19 degrees.

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Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.

Answer:

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  Domain - the set of second coordinates in a relation, all possible y values in a function .                           Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function - A function which contains an expression within absolute value symbols .                                                                                                                   Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  

Domain - the set of second coordinates in a relation, all possible y values in a function .                          

Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function -

A function which contains an expression within absolute value symbols .                                                                                                                  

Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

Answer:

Angle Q = 17°

Step-by-step explanation:

Complementary means the angles add up to 90°

Using this, do 90° - 73°. This equals 17°, giving you Angle Q.

Answer:

Q = 17

Step-by-step explanation:

Complementary angles add to 90 degrees

Q + R = 90

Q +73 = 90

Q = 90-73

Q = 17

Answer:

Step-by-step explanation:

Radius=r. Diameter=d. C=circumference. A=area

Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.

Formulas;

r=d÷2

C=2πr

A=πr²

π=\(\frac{22}{7}\) or 3.142

4).

a.)r=d÷2

=4.8cm÷2

=2.4cm

b.)d=4.8cm

c.)C=2πr

=2×3.142×2.4cm

=15.08cm

d.) A=πr²

=3.142×(2.4)²

=3.142×5.76

=18.09cm² or 18.1cm²

5.

a.)r=d÷2

=7÷2

=3.5cm

b.)d=7cm

c.)C=2πr

=2×3.142×3.5

=21.99cm or 21.1cm

d.)A=πr²

=3.142×(3.5)²

=3.142×12.25

=38.49cm²

6.)

a.)r=d÷2

=14÷2

=7cm

b.)d=14cm

c.)C=2πr

=2×3.142×7

=43.99cm

d.)A=πr²

=3.142×(7)²

=3.142×49

=153.96cm²

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

a family of functions is a set of functions whose equations have a similar form. the "parent" of the family is the equation in the family with the simplest form.

The percentage of scores greater than 34 is 0.5398 or 53.98%.

Given that the mean of scores (μ) = 35 and the standard deviation (σ) = 10. We need to find the percentage of scores greater than 34. Since the scores are normally distributed, we can standardize the variable by using the z-score formula.

z = (x - μ) / σ

Here, x = 34, μ = 35 and σ = 10z = (34 - 35) / 10z = -0.1

We need to find the area to the right of the z-score line on the standard normal distribution table. The standard normal distribution table provides the probabilities corresponding to the z-scores, i.e. the area under the curve to the right or left of the z-score line on the distribution table. The area to the right of the z-score line represents the percentage of scores that are greater than the given value. Using the standard normal distribution table, the area to the right of the z-score line -0.1 is 0.5398.

The percentage of scores greater than 34 is 0.5398 or 53.98%.

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We want to know an expression equivalent to:

which is a multiplication. For doing it, we will use the distributive property, where we multiply the first term of the first expression by each one of the terms on the second expression, and then we multiply the second term of the first expression by each one of the terms on the second expression.

We obtain:

Now, we multiply the terms as usual: first the coefficients and then the variables:

Thus, the expression equivalent is 6a² - a - 35.

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are given below.

32 × 10⁻²² and 8 × 10⁻²²

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be given as,

⇒ (32 × 10⁻²²) / (8 × 10⁻²²)

⇒ 32 / 8

⇒ 4 × 10⁰

The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.

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The complete question is attached below.

Answer:

A

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, thus

∠ S = ∠ Y = 108°

∠ T = ∠ Z = 9n - 4

Given ∠ R = 6n + 1

The sum of the 3 angles in Δ RST = 180°

Sum the 3 angles and equate to 180, that is

6n + 1 + 108 + 9n - 4 = 180 , simplify

15n + 105 = 180 ( subtract 105 from both sides )

15n = 75 ( divide both sides by 15 )

n = 5 → A

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

The probability that a student chosen randomly from the class is a male who does not have an A is given as follows:

p = 13/29.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

Out of a total of 3 + 5 + 8 + 13 = 29 students, 13 are males that do not have an A, hence the probability is given as follows:

p = 13/29.

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Answer:

x=100

Step-by-step explanation:

a. The opportunity cost of a goal if the player is a center is 0.5 assists. b. The opportunity cost of a goal if the player is a defenseman is 0.33 assists. c. The opportunity cost of a goal if the player is a center is 0.5 assists. d. The opportunity cost of an assist if the player is a defenseman is 1.5 goals. e. The position of Center has the absolute advantage in goals. f. The position of Center has the absolute advantage in assists. g. The position of Defenseman has the comparative advantage in goals. h. The position of Center has the comparative advantage in assists.

a. The opportunity cost of a goal for a center is 0.5 assists. This means that for every goal scored by the center, they have given up the opportunity to produce 0.5 assists.

b. The opportunity cost of a goal for a defenseman is 0.33 assists. This implies that for every goal scored by the defenseman, they have sacrificed the chance to generate 0.33 assists.

c. The opportunity cost of a goal for a center remains 0.5 assists. This is because the production possibilities for the center indicate that for every goal they score, they could have alternatively produced 0.5 assists.

d. The opportunity cost of an assist for a defenseman is 0.33 goals. This signifies that for every assist made by the defenseman, they have foregone the opportunity to score 0.33 goals.

e. The position of center has the absolute advantage in goals since they can produce 4 goals, which is higher than the defenseman's production of 2 goals.

f. The position of center also has the absolute advantage in assists with 8 assists, surpassing the defenseman's production of 6 assists.

g. The position of defenseman has the comparative advantage in goals since the opportunity cost of a goal for the defenseman (0.33 assists) is lower compared to the center's opportunity cost (0.5 assists).

h. The position of center has the comparative advantage in assists since the opportunity cost of an assist for the center (0.5 goals) is higher compared to the defenseman's opportunity cost (0.33 goals).

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Answer:

(x-5)^2 + (y + 4)^2 = 100

Step-by-step explanation:

See attached worksheet.

Answer:

\( \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} \)

Step-by-step explanation:

HOPE IT HELPS (^o^)/

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- The company estimates that 2% of the devices are defective from the start.
- Defective devices have a lifetime of 0 years.
- The remaining devices have a regular lifetime.

1. The company estimates that around 2% of the devices are defective from the start. This means that these devices have a lifetime of 0 years because they are already defective.
2. For the remaining devices that are not defective, they have a regular lifetime. The company should provide an estimate or average lifetime for these devices.
3. By considering the defect rate and the regular lifetime of the devices, the company can determine the overall lifetime distribution of their product. This information is important for warranty, maintenance, and customer satisfaction purposes.
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The rule of signs in binomial factors given a trinomial in the form :

Note that b and c can be positive or negative.

And the factor may be :

First thing to do is to check the sign of c.

If it is positive, the signs of m and n can be both positive or both negative.

Since positive multiplied by positive is positive and

negative multiplied by negative is also positive.

If the sign of c is negative, one of the factors must be negative and the other must be positive, because negative multiplied by positive is negative.

After considering the sign of c, next to check is the sign of b.

Case 1 :

If b and c are both positive, we know that the factors can be both negative or both positive.

And since the sign of b is positive, we must follow the sign of it which is positive.

So both m and n are positive

For example :

The factor will be :

which are both positive.

Case 2 :

If b is negative and c is positive, we will follow the sign of b. m and n will be both negative.

For example :

The factors are :

which are both negative

Case 3 :

Now the third case is tricky.

If c is negative, we know that one of m and n is negative and the other one is positive.

The sign of the larger number between m and n will follow the sign of b.

For example :

c is negative, so one factor must be negative and the other must be positive. The sign of b is negative, so the larger factor must be negative also.

The factor will be :

3 is larger than 2, so the negative sign of b will proceed to the factor 3.

Your answer would be 1/x^2 -6

To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

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Answer:

The probability that the two cards drawn form a pair is approximately 0.045.

Explanation:

There are 52 cards in an ordinary deck, and each card has a unique rank (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, or king) and suit (spades, hearts, diamonds, or clubs). There are 13 ranks and 4 suits, so there are 13*4 = 52 possible cards in the deck.

When we draw two cards without replacement, there are 52 ways to draw the first card and 51 ways to draw the second card, for a total of 5251 = 2652 possible outcomes. Of these, there are 4 ways to draw a pair of cards with the same rank (for example, 2 of spades and 2 of hearts) and 13 ranks to choose from, so there are 413 = 52 pairs in the deck. Therefore, the probability of drawing a pair is 52/2652 = 1/51, or approximately 0.0196.

Alternatively, we can calculate the probability by considering the complement of the event (that is, the probability of not drawing a pair). There are 48 non-pair cards in the deck (since there are 52 total cards and 4 pairs), and there are 48*47 = 2256 ways to draw two non-pair cards. Therefore, the probability of not drawing a pair is 2256/2652 = 48/51, or approximately 0.931. The probability of drawing a pair is then 1 - 0.931 = 0.069, or approximately 0.045.

Either way, we can see that the probability of drawing a pair is relatively low, at about 4.5%.

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

Answer:

We assign the older value to variable A and the newer value to variable B. Units, in this case the dollars, are always stripped or canceled out in percent change problems since we’re looking for increases or decreases in percentage.

Step-by-step explanation: