as instructed, to find a second solution y2(x). x2y'' − 7xy' 16y = 0; y1 = x4, apply the reduction of order method to find the other solution.

Answer:

\(108 + 3y = 180 \\ 3y = 180 - 108 \\ 3y = 72 \\ y = \frac{72}{3 } \\ y = 24\)

To duplicate angle ABC, draw a line segment, position the compass on point A, and then draw an arc that intersects the line segment. Next, position the compass on point B, and then draw a second arc that intersects the first arc at a point on the line segment. Finally, position the compass on the point where the two arcs intersect, but without changing the width, and draw a third arc that intersects the line segment.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Common instruments used to measure angles are:

1. Protractor

2.Compass

3.Digital Angle finder

4.Angle finder

5.Clinometer

6. Inclinometer

You can take the following actions to copy angle ABC:

Create a line segment that will serve as the foundation for the new angle you're going to create.

Draw an arc that crosses the line segment you produced in step 1 by positioning the compass on point A.

Draw a second arc that crosses the previous arc at a point on the line segment by setting the compass on point B.

Place the compass on the intersection of the two arcs without adjusting the compass's width, then create another arc that crosses the line segment.

Point D is where the second arc crosses the line segment. To finish the new angle, join points D and C.

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Answer:

to the right

.............

Answer:The other number is located on the right of -2.5 on the horizontal number line.

Step-by-step explanation: EDMENTUM PLATO

In the given condition,  Probability that the number tossed is not greater than four will be 2/3 When we toss a fair dye and probability of obtaining each number is equal

When we toss a fair dye, the probability of obtaining each number is equal, which is 1/6 in this case. Let A be the event that a number greater than four is obtained when a dye is thrown, and B be the event that a number less than or equal to four is obtained. Probability will be 2/3 if we toss a fair dye and that the number tossed is not greater than four

We want to figure out P(B), or the probability of getting a number that is less than or equal to four.Let's use the complementary approach to calculate this. To be more precise, we'll compute the probability of event A occurring and then subtract that from 1 to obtain the probability of event B happening.

Suppose we're trying to figure out the probability of obtaining a number that is greater than four. Since there are six possible outcomes (each of the numbers 1 through 6), the sample space has size S = 6. Since we're interested in one outcome, namely getting a number greater than four, the number of outcomes for event A is n(A) = 2, since there are only two outcomes greater than four, which are 5 and 6.

The probability of getting a number greater than four is the ratio of the number of outcomes for event A to the size of the sample space : Thus, P(A) = n(A)/S = 2/6 = 1/3. We may now subtract that probability from 1 to get the probability of obtaining a number less than or equal to four: Therefore, P(B) = 1 - P(A) = 1 - 1/3 = 2/3.

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The required probability is 1.

Given, P[A|B] = p, P[A and B] = q.

To find, P[BC]

Step 1:We know that, P[BC] = P[(B intersection C)]

P[A|B] = P[A and B] / P[B]p = q / P[B]P[B] = q / p

Similarly,P[BC] = P[(B intersection C)] / P[C]P[C] = P[(B intersection C)] / P[BC]

Step 2:Now, substituting the value of P[C] in the above equation,P[BC] = P[(B intersection C)] / (P[(B intersection C)] / P[BC])

P[BC] = P[(B intersection C)] * P[BC] / P[(B intersection C)]

P[BC] = 1P[BC] = 1

Therefore, the required probability is 1.

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Answer:

Hi there! the answer is: 0.857

Step-by-step explanation:

1/7 x 6 = 0.85714285714 but you can ALWAYS shorten that for your answer by doing 0.857!

Hope this helped! please mark me brainliest if possible

Answer:

Shorten form=0.857

Normal form=0.85714285714

Step-by-step explanation:

Answer: \(v=-\frac{1}{15},\:v=\frac{1}{15}\)

Step-by-step explanation: \(-3\left|\frac{1-2}{5v}\right|=-9\)

\(-\frac{3}{5\left|v\right|}=-9\)

\(-\frac{3}{5\left|v\right|}\cdot \:5\left|v\right|=-9\cdot \:5\left|v\right|\)

\(-3=-45\left|v\right|\)

\(v=-\frac{1}{15},\:v=\frac{1}{15}\)

Answer:

The charity drive was held over two days. On the first day, the 20 artists worked for 6 hours. On the second day, 25 artists turned up and worked for 12 hours. Find the total number of art installations completed over the two days.​

Step-by-step explanation:

Let's start by finding the total number of art installations completed on the first day by the 20 artists who worked for 6 hours. If each artist creates one art installation, then the total number of installations created by the 20 artists is:

20 artists x 6 hours/artist = 120 art installations

On the second day, 25 artists worked for 12 hours. Using the same assumption that each artist creates one art installation, the total number of installations created by the 25 artists is:

25 artists x 12 hours/artist = 300 art installations

Therefore, the total number of art installations completed over the two days is:

120 + 300 = 420

So, the charity drive produced 420 art installations over the two days.

The probability that one person chosen has blue eyes is 0.57.

The given parameters:

The total number of female and male with blue eyes is calculated as;

Total female with blue eyes = 0.41 x 60 = 24.6

Total male with blue eyes = 0.7 x 70 = 49

Total blue eyes = 24.6 + 49 = 73.6

The probability that one person chosen has blue eyes is calculated as follows;

\(P = \frac{73.6}{60 + 70}\\\\P = \frac{73.6}{130} \\\\P = 0.566\\\\P \approx 0.57\)

Thus, the probability that one person chosen has blue eyes is 0.57.

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Density –The frequency with which something exists with a given unit of area.

Definition of density: A material's density is determined by how closely it is packed. As the mass per unit volume, it has that definition. Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.

How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.

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The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Answer:

  \(z^{ \frac{1}{3}\)

Step-by-step explanation:

\(\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}\)                         \([ \ \frac{a}{a^x} = a \cdot a^{-x} \ ]\)

       \(= \sqrt {z^{\frac{2}{3}}}\\\\\)                                 \([ \ a^x \cdot a^y = a^{ x+ y} \ ]\)

       \(= (z^{\frac{2}{3}})^{ \frac{1}{2}}\)                                \([ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ]\)

       \(= z^ {\frac{1}{3}}\)                                     \([ \ (a^x)^y = a^{xy} \ ]\)

Here are three current job openings in the sports industry along with details about the positions and my opinion about each opportunity:1. Social Media Coordinator at the National Football League (NFL):The Social Media Coordinator at the NFL will be responsible for executing the NFL's social media content strategy across various social media platforms.

This includes creating and publishing content, analyzing data and performance, and staying up to date on social media trends. The position requires a Bachelor's degree and 2-3 years of experience in social media management or related field. My opinion about this opportunity: The NFL is a well-known and highly respected organization in the sports industry, and working as a Social Media Coordinator for them would be an excellent opportunity for someone with experience in social media management.2. Sales Associate at Nike: Nike is currently hiring a Sales Associate at one of their retail stores.

The Sales Associate will be responsible for delivering excellent customer service, maintaining product knowledge, and achieving sales goals. The position requires a high school diploma or equivalent and some retail or customer service experience. My opinion about this opportunity: Nike is a global leader in the sports industry, and working as a Sales Associate at one of their retail stores would provide valuable experience in sales and customer service.3. Communications Intern at USA Volleyball: USA Volleyball is offering a Communications Internship that will give students hands-on experience in sports communication. The intern will assist with creating content for various USA Volleyball platforms, including social media and email marketing. The position is unpaid, but college credit is available. My opinion about this opportunity: This internship would be an excellent opportunity for a student interested in pursuing a career in sports communication. Although the position is unpaid, the experience and skills gained would be invaluable.

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The circumference of the circle subtended by 210° will be 210 times (1/360)th times circumference.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The perimeter of the circle = 2πr where r is the radius of the circle.

The circumference bound by 210° angle will be as,

(210/360)2πr = 210 (1/360)2πr

⇒ 210 times (1/360)th of circumference.

Hence "The circumference of the circle subtended by 210° will be 210 times (1/360)th times circumference".

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For this problem, we are given a certain function and we need to determine its range.

The function is:

This quadratic function has a minimum value in its range, which is represented by its vertex. The best way to determine the range is to find the coordinates of the vertex of this function, therefore we have:

The minimum value in the range is -16, which means that the range is:

The correct option is the second one.

The equivalent expressions are;

The correct answer choice is option B, C and E

-2/5(15 - 20d + 5c)

open parenthesis

= -30/5 + 40/5d - 10/5c

= - 6 + 8d - 2c

Check:

-6+8d-2c

True

-2c+8d-6

rearrange

= -6 + 8d - 2c

-2(3-4d+c)

open parenthesis

= -6 + 8d - 2c

Hence, the equivalent expression to -2/5(15 - 20d + 5c) are -6+8d-2c, -2c+8d-6 and -2(3-4d+c)

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Answer:

The best buy is the 0.74 kg box

Step-by-step explanation:

Kamilah noticed that three different-sized boxes of the same cookies were on sale at a grocery store.

We find the unit price for 1 box

a) The 0.425 kg box was on sale for $3.59

= 1 kg = $3.25/0.425

= $7.6470588235

b) the 0.74 kg box was on sale for $4.88,

1 kg = $4.88/0.7$

= $6.5945945946

c) the 0.95 kg box was on sale for $7.29.

1 kg = $7.29/0.95

= $7.6736842105

Which box of cookies was the best buy?

The best buy is the 0.74kg box because 1kg of this box has a lesser price compared to the others.

Answer:

x=11

Step-by-step explanation:

Notice that the first diagram is similar with the second diagram with ratio 1:2

Ex: Side length of JK is 6 and NP being 12, 6:12→1:2

You can conclude that x:22 needs to follow the ratio of 1:2

Thus, x=11

x - y is a factor of x² - y² and x³ - y³

Option B is the correct answer.

We have,

To determine if the quantity x - y is a factor of a given expression, we can substitute x = y into the expression and check if the result is equal to zero.

Let's evaluate each expression with x - y and see if it results in zero:

x² - y²:

Substituting x = y, we get (y)² - y² = 0.

Therefore, x - y is a factor of x² - y².

x² + y²:

Substituting x = y, we get (y)² + y² = 2y². Since the result is not zero, x - y is not a factor of x² + y².

x³ - y³:

Substituting x = y, we get (y)³ - y³ = 0.

Therefore, x - y is a factor of x³ - y³.

x³ + y³:

Substituting x = y, we get (y)³ + y³ = 2y³.

Since the result is not zero, x - y is not a factor of x³ + y³.

Thus,

x - y is a factor of x² - y² and x³ - y³, but it is not a factor of x² + y² or x³ + y³.

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The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is  120 .

We have to find the total number of combinations of cell phone models, colors, and calling plans,

So , we multiply the number of choices for each category.

By Using the multiplication principle of counting:

⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;

⇒ 4 × 6 × 5

⇒ 120

Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.

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The given question is incomplete , the complete question is

A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

if he passes he will be happy

Answer:C

Step-by-step explanation:

If Jeff did not pass math he would definitely be not happy because he did not pass. Therefore if Jeff passes math he will be happy so that implies if he doesn’t pass math he is not happy

1/18

Step-by-step explanation:

\( \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} \)

Let's calculate the number of drops per hour that the patient should receive.

1. Convert fluid ounces to microliters:
1 fluid ounce = 29,573.53 microliters
2.4 fluid ounces = 2.4 * 29,573.53 microliters = 70,976.47 microliters

2. Determine the total number of drops needed in 24 hours:
70,976.47 microliters / 200.0 microliters/drop = 354.88 drops (rounded to 355 drops)

3. Calculate the number of drops per hour:
355 drops / 24 hours = 14.79 drops per hour (rounded to 15 drops/hour)

You should set the syringe pump to deliver 15 drops per hour for the patient to receive 2.4 fluid ounces of morphine over a 24-hour period.

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Answer:

x = 11

Step-by-step explanation:

3(11 - 10) + 7 =

3 + 7 = 10

hope this helped

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

The steps to solve this problem are as follows:

Step 1: Find f(x) at x = 2 and x = 2 + h. Substitute x = 2 into f(x) to find f(2). f(2) = 2² - 3(2) + 7 = 3. Substitute x = 2 + h into f(x) to find f(2 + h). f(2 + h) = (2 + h)² - 3(2 + h) + 7 = h² - h + 3.

Step 2: Find the average rate of change. Using the formula for the average rate of change, we get:

Average rate of change = (f(2 + h) - f(2))/h = [(h² - h + 3) - 3]/h = h - 1.

We simplify completely and get the answer as h - 1. Therefore, the average rate of change of f(x) = x² - 3x + 7 with respect to x from x = 2 to x = 2 + h is h - 1.

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