What values for PQ and RL make the following equation true px to the power of rtwo+wx+r equals(3x+1)(3x+2)HURRY

Answer:

-5x+(- 15 ) = 20

x=-7

Step by Step

-5x+(-15)= 20 becomes

-5-15=20 add 15 tp (15 and 20)

-5x=35 ( divide by 51

x=-7

Answer:

Step-by-step explanation:

chicken

Answer:

a. 114 minutes

b. 48 minutes

Step-by-step explanation:

Given that

Time spent over the piano is 75 minutes

a. if Priya practice violin for 152% as Han Practiced for piano

So the minutes she practice in Violin is

= 75 minutes × 152%

= 114 minutes

Likewise

b. If Tyler practiced for clarinet for 64% as Han Practiced for piano

So the minutes he practice in Clarinet is

= 75 minutes × 64%

= 48 minutes

The same is to be considered

\({ \green{ \tt{the \: origin}}}\)

The name given to the ordered pair (0,0) is the origin.

Answer:

a) The orgin

Step-by-step explanation:

Now we have to,

→ find the name of the ordered pair.

The coordinates are,

→ (0,0)

{It is the origin, where both axis collides}

Hence, the option (a) is correct.

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Step-by-step explanation:

Line AB = sqrt18 = 4.24

Line BC = sqrt10 = 3.16

Line AC = 4

Since the triangle cannot be isosceles or equilateral, the best option here is scalene.

Answer:

Line AB = 4.24

BC = 3.16

AC = 4

So ABC is scalene.

Answer:Look Down 0D

Step-by-step explanation:I am sorry if this doesn't help but I dont know the answer???

a) The angle between vectors A and B is approximately 154.68 degrees.To find the angles between the vectors A and B,

we can use the dot product formula and the fact that the dot product of two vectors A and B is given by:

A · B = |A| |B| cos(θ)

where |A| and |B| represent the magnitudes of vectors A and B, respectively, and θ is the angle between them.

Let's calculate the angles for each case:

(a) A = 2î − 7ĵ, B = -5î + 3ĵ:

Using the dot product formula:

A · B = (2)(-5) + (-7)(3) = -10 - 21 = -31

The magnitude of A:

|A| = √(2^2 + (-7)^2) = √(4 + 49) = √53

The magnitude of B:

|B| = √((-5)^2 + 3^2) = √(25 + 9) = √34

Now, we can calculate the angle θ using the formula:

-31 = (√53)(√34)cos(θ)

Simplifying:

cos(θ) = -31 / (√53)(√34)

Using inverse cosine (arccos) to find θ:

θ = arccos(-31 / (√53)(√34))

The angle between vectors A and B is approximately θ = 154.68 degrees.

(b) A = 6î + 4ĵ, B = 3î − 3ĵ:

Using the dot product formula:

A · B = (6)(3) + (4)(-3) = 18 - 12 = 6

The magnitude of A:

|A| = √(6^2 + 4^2) = √(36 + 16) = √52 = 2√13

The magnitude of B:

|B| = √(3^2 + (-3)^2) = √(9 + 9) = √18 = 3√2

Now, we can calculate the angle θ using the formula:

6 = (2√13)(3√2)cos(θ)

Simplifying:

cos(θ) = 6 / (2√13)(3√2) = 1 / (√13)(√2)

Using inverse cosine (arccos) to find θ:

θ = arccos(1 / (√13)(√2))

The angle between vectors A and B is approximately θ = 23.38 degrees.

(c) A = 7î + 5ĵ, B = 5î − 7ĵ:

Using the dot product formula:

A · B = (7)(5) + (5)(-7) = 35 - 35 = 0

The magnitude of A:

|A| = √(7^2 + 5^2) = √(49 + 25) = √74

The magnitude of B:

|B| = √(5^2 + (-7)^2) = √(25 + 49) = √74

Now, we can calculate the angle θ using the formula:

0 = (√74)(√74)cos(θ)

Since the dot product is zero, it indicates that the vectors are orthogonal (perpendicular) to each other. In this case, the angle between vectors A and B is θ = 90 degrees.

Therefore, for the given cases:

(a) The angle between vectors A and

B is approximately 154.68 degrees.

(b) The angle between vectors A and B is approximately 23.38 degrees.

(c) The angle between vectors A and B is 90 degrees.

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Answer:

24 inches

Step-by-step explanation:

2 yards to inches :

2 x 12 = 24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

72 inches

Step-by-step explanation:

1 yard = 3 feet

1 foot = 12 inches

1 yard = 3(12) inches or 36"

∴ 2 yards = 72 inches

Answer:

Step-by-step explanation:

cot θ=11

tan θ=1/11

\(\sin ~2\theta=\frac{2 \tan ~\theta}{1+\tan^2 \theta} =\frac{2*\frac{1}{11} }{1+(\frac{1}{11} )^2}=\frac{22 }{122} \\\\cos~2 \theta=\frac{1-tan^2 \theta}{1+tan^2\theta} =\frac{1-(\frac{1}{11})^2 }{1+(\frac{1}{11} )^2} =\frac{120}{122} =\frac{60}{61} \\tan 2 \theta=\frac{2 tan\theta}{1-tan^2 \theta} =\frac{2*(\frac{1}{11 } )}{1-(\frac{1}{11} )^2} =\frac{2*11}{120} =\frac{11}{60}\)

Step-by-step explanation:

the ratio is 4:8:5 for Richard, Allan and Fliss.

the sequence is important.

the money pool between them has 4+8+5 = 17 equal units.

Richard has 4 units of these 17, Allan has 8 units, and Fliss has the remaining 5 units.

we don't know the value of such a unit yet.

this we get from the second hint :

Allan gets £9 more than Fliss.

remember, Allan has 8 units, Fliss 5.

so, Allan has 3 units more than Fliss.

that means these 3 units are worth £9.

and that means each unit is worth 9/3 = £3.

Richard has 4 units, that means he has

4×3 = £12

In the recent art project, the teacher purchased 94 pieces of red construction paper and 80 pieces of blue construction paper. To determine the exact ratio of red construction paper to blue construction paper, we divide the number of red construction paper pieces by the number of blue construction paper pieces.

The ratio of red construction paper to blue construction paper can be expressed as:94:80

However, we can simplify this ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 94 and 80 is 2.

Dividing 94 by 2 gives us 47, and dividing 80 by 2 gives us 40.

Therefore, the exact simplified ratio of red construction paper to blue construction paper is: 47:40

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The work done in moving the particle from the origin to x=9 is 4920.75 Joules. To find the work done in moving the particle from the origin (x=0) to x=9, we need to integrate the force over the distance traveled.

The force on the particle is described by the equation 3x³ + 1. To integrate this equation, we need to find its antiderivative.

The antiderivative of 3x³ + 1 is (3/4)x⁴ + x + C, where C is the constant of integration.

To evaluate the work done in moving the particle from x=0 to x=9, we need to subtract the value of the antiderivative at x=9 from its value at x=0:

W = [(3/4) (9⁴) + 9] - [(3/4) (0⁴) + 0]
W = (3/4) (6561) + 9
W = 4920.75 Joules

Therefore, the work done in moving the particle from the origin to x=9 is 4920.75 Joules.

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

Answer:

Step-by-step explanation:

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

A calculus cheat sheet can be a helpful tool to assist you in studying and reviewing calculus concepts.

Here are some tips for how to use a calculus cheat sheet effectively:

1. Familiarize yourself with the content: Take the time to read through the entire cheat sheet to get a sense of what topics are covered and how the information is organized.

2. Use it as a study aid: A calculus cheat sheet can be a helpful study aid to review concepts and formulas before a test or exam. Work through practice problems and apply the concepts you have learned.

3. Keep it handy: Print out the cheat sheet or save it to your phone or computer so that you can refer to it whenever you need to.

4. Use it as a reference: As you work on calculus problems, use the cheat sheet to remind yourself of key concepts, formulas, and rules.

5. Customize it: You can create your own cheat sheet, which includes the formulas and concepts that you find most challenging. This will help you focus on the areas that you need to improve upon.

Remember that while a calculus cheat sheet can be a helpful tool, it is important to develop a deep understanding of calculus concepts through practice, problem-solving, and building intuition. The cheat sheet should be used as a supplement to your learning, not a replacement for it.

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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

AGIB

Step-by-step explanation:

I solved it eh.

Pretty simple honestly.

But school ends!

Each side and each area were calculated using the Pythagoras theorem.

The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.

So, using the Pythagoras theorem

\(TU^2=175^2-79^2\)

\(TU^2=24384\)

\(TU=156.15\)

So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.

Similarly, \(GH = \sqrt{207^{2}-98^2 }\)

\(GH=182.33\)

So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.

Thus, each side and each area were calculated using the Pythagoras theorem.

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Answer:

11

Step-by-step explanation:

I can assume that as △ LMN has an inscribed circle, PQ & PS are perpendicular bisectors? If so then PQ & PS are also the radii of this inscribed circle since it is tangent to the points on △LMN...

PQ = PS,

-2y + 15 = 3y + 5,

10 = 5y,

y = 2

If y = 2, radius length = -2(2) + 15 = -4 + 15 = 11 units

The radius of the inscribed circle of △LMN is; 22 units

The image of the triangle △LMN is missing and so i have attached it.

Now, from the attached triangle, we can say that PQ = PS = PR because the distance to the centroid from the midpoint of any side of a triangle are always equal.

Thus;

-2y + 15 = 3y + 5

15 - 5 = 3y + 2y

10 = 5y

y = 10/5

y = 2

Thus; PQ = -2(2) + 15

PQ = 11

Since PQ = PS = PR, then;

PR = 11

Now, the radius of the circle will be;

PL = PM = PN.

We know that from centroid theorem, the distance of the centroid to each vertex is 2/3 the length of each median.

Thus;

2PR = PL

Thus; PL = 2 × 11

PL = 22 Units

In conclusion, radius is 22 units.

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Answer:

it is option 3

Step-by-step explanation:

-4(5p+3)

by opening brackets, you get

-20p -12

Answer:

6

Step-by-step explanation:

Answer:

47/10 - 3.2

Step-by-step explanation:

Given

Dolphin = 3.2

Bird = 47/10

Required

What is the vertical distance between both

Using a vertical scale;

Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.

The vertical distance between them is as follows;

Distance = +[Above The Sea] - [Below The Sea]

Distance = +47/10 - 3.2

Distance = 47/10 - 3.2

Hence, the vertical distance between both is 47/10 - 3.2

The answers are:

A. Toy car is being pushed across the floor by a child.

D. A ball is kicked around the room.

E. A weight is raised over the head of the lifter.

When a force is applied to an object and the object is moved in the direction of the force, mechanical work takes place. In other words, when a force acts on an object to induce a displacement, work is being done. The force's magnitude times the distance it acts on equals the quantity of work that is completed. if the force applies in a straight line and is constant

The following three examples of mechanical work are

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Answer:

Step-by-step explanation:

If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.

It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.