Solve the equation using the Quadratic Formula.
x^2-3x-11=0
x=___

Answer:

11.since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Answer:

10 - B = U

Step-by-step explanation:

U stands for the unopened bottles

for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)

The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.

therefore the equation 10 - B = U shows the amount of unopened bottles

Answer:

60π in²

Step-by-step explanation:

Inner Circle:

r = 2 in

Area of inner circle = πr²

        = π* 2 * 2

       = 4π   in²

Middle circle:

r = 6 + 2 = 8 in

Area of middle circle = π * 8 * 8

                                    = 64π in²

Area of shaded region =  area of middle circle -area of inner circle

                                       = 64π - 4π

                                       = 60π in²

Answer:

A = 60pi

Step-by-step explanation:

the radius of the smallest circle is 2 inches so that would give us an area of 4pi. the distance in the shaded part is 6 inches, since we're wanting to find the area of the shaded part, we'll add the radius of the smallest circle, 2 inches, and add it to the length of the shaded circle, 6 inches, to get a radius of 8 inches. plug 8 inches into the formula and youll get 64pi then subtract the 4pi from 64pi and youll get 60pi, which is the area of the shaded part of a circle.

Answer:

2.7

Step-by-step explanation:

mean = (1 + 2 + 2 + 3 + 8 + 8)/6 = 4

absolute values of differences:

|1 - 4| = 3

|2 - 4| = 2

|2 - 4| = 2

|3 - 4| = 1

|8 - 4| = 4

|8 - 4| = 4

sum of the absolute values of the differences:

(3 + 2 + 2 + 1 + 4 + 4)/6 = 16

MAD = 16/6 = 2.7

Answer: 2.7

The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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the correct format for a multiple regression equation is

ŷ= \(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\)

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=\(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\) is the multiple regression equation.

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Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°

The approximate volume of the remaining solid is 77 cubic inches.

To find the approximate volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism.
Step 1: Find the volume of the rectangular prism
- Formula for the volume of a rectangular prism is V = lwh (length × width × height)
- The base of the prism is a square, so l = w = 4 inches
- The height is 6 inches, so V = 4 × 4 × 6 = 96 cubic inches
Step 2: Find the volume of the cylindrical hole
- Formula for the volume of a cylinder is V = π\(r^2\)h
- The radius of the cylinder is 1 inch (1/2 × 2), and the height is 6 inches (same as the height of the rectangular prism)
- V = π × \(1^2\) × 6 = 6π cubic inches (approximately 18.85 cubic inches)
Step 3: Subtract the volume of the cylinder from the volume of the rectangular prism
- Remaining volume = 96 - 18.85 ≈ 77.15 cubic inches.

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Answer: She did not create it correctly because we have two science students and six music students instead of three science students and five music students. I believe pie charts work well because they give a quick overview of the students.

Would appreciate brainly <3

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Answer:

I dont know if this is right but I think its 125/343

Answer:

x > 2

Step-by-step explanation:

Since the dot is not filled in, it does not include 2. Since it is moving to the right, it means it is more than 2.

Hope that helps!

Answer:

x>2

Step-by-step explanation:

since the circle on the number two is a hollowed-out circle then it is less than greater than so it is not equal to anything. and since the arrow is pointed greater than 2.

So all values of x are greater than 2

Hope this helps :)

As one gallon of paint will cover 400 square feet, then Abdul needs to purchase 2 gallons of paint.

To find the total area that Abdul needs to paint, we need to calculate the area of each wall and the ceiling, and then add them up.

Area of first wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of second wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of third wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of fourth wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of ceiling = length x width = 10 ft x 12 ft = 120 sq ft

Total area to be painted = 90 + 90 + 108 + 108 + 120 = 516 sq ft

Abdul is not going to paint the door or closet, so we need to subtract their areas from the total area.

Area of door = width x height = 3 ft x 7 ft = 21 sq ft

Area of closet = width x height = 6 ft x 7 ft = 42 sq ft

Total area to be painted after subtracting door and closet = 516 - 21 - 42 = 453 sq ft

Since one gallon of paint covers 400 square feet, Abdul needs to purchase:

453 sq ft ÷ 400 sq ft/gallon = 1.13 gallons of paint

Thus, as we round up to the nearest gallon since Abdul cannot purchase a fraction of a gallon. Abdul needs to purchase 2 gallons of paint.

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Answer:

(a) P(1) = 3

(b) P(-2) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

P(x) = x³ + 4x² - 3x + 1

P(1) is x = 1

P(-2) is x = -2

Step 2: Evaluate

P(1)

P(-2)

Answer:

Step-by-step explanation:

Substitute the value of x:

a) P(x) = x³ + 4x² - 3x + 1

b) P(x) = x³ + 4x² - 3x + 1

The equation that represents the total number of jars of tomato sauce remaining will be y = - 0.25x + 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At an eatery containers of pureed tomatoes are put away in an enclosed storage space. Each case contains 8 containers of pureed tomatoes. A cook utilizes 2 containers from 1 of the crates.

Let 'x' be the number of boxes and 'y' be the tomato sauce remaining in the pantry. Then the equation is given as,

y = - (2 / 8)x + 1

y = - 0.25x + 1

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Answer:

2

Step-by-step explanation:

Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.

The greatest common factor being 2, as they both have it.

The least-square regression equation for yield in bushes and the average temperature is option (c)  y = -0. 8 + 0. 9x

To find the least-square regression equation for the given sample data, we can use a statistical software or do the calculations manually. The calculations involve finding the slope and y-intercept of the line that best represents the relationship between the yield and average temperature.

After performing the calculations, we get the least-square regression equation for the given sample data, which is y = -0.8 + 0.9x. This equation tells us that for every one unit increase in the average temperature, the yield of crops increases by 0.9 bushels per acre. The y-intercept (-0.8) represents the yield of crops when the average temperature is zero, which is not practically possible.

Therefore, the correct answer to the question is option C, y = -0.8 + 0.9x.

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False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .

= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 25 + 25 = x²

= 50 = x²

= 7.0710678119 = x

But they have given that we have to round it off to the nearest tenths , so ;

= 7.0710678119 will be equal to = 7.10

= 7.1 = x

Therefore , the length of the unknown side x = 7.1 .

Answer:

See Below

Step-by-step explanation:

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

3x = 15  

x = 5  

UW = 9x-9 = 9*5-9  

UW = 36 units

Answer:

36

Step-by-step explanation:

UW = UV + VW

9x - 9 = 2x - 4 + 4x + 10

9x - 2x - 4x = -4 + 10 + 9

3x = 15

x = 5

UW = 9x - 9 = 9(5) - 9 = 45 - 9 = 36

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

---

hope it helps

Answer:

x = 4f/nz

Step-by-step explanation:

nxz - f = 3f  solve for x

    nxz =  3f+f

Factor of nxz is x(nz)

  x(nz) = 3f+f

  x(nz) = 4f

MUltiply both side with 1/nz and you get

 x =  4f/nz

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

The answer is 92.

Step-by-step explanation:

Hope it helped good luck dude(☞ﾟヮﾟ)☞

To calculate the increase in range when the number 1 replaces the number 4 in the set {2, 4, 5, 5, 7, 6, 8, 5}, we need to first find the range of the original set and then find the range of the modified set.

The range of a set of numbers is the difference between the maximum and minimum values in the set.

Original set: {2, 4, 5, 5, 7, 6, 8, 5}

Maximum value: 8

Minimum value: 2

Range of the original set: 8 - 2 = 6

Modified set (with 1 replacing 4): {2, 1, 5, 5, 7, 6, 8, 5}

Maximum value: 8

Minimum value: 1

Range of the modified set: 8 - 1 = 7

Therefore, the range increases by 7 - 6 = 1 when the number 1 replaces the number 4 in the set.

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B is therefore represented by the expression: b = 2a + 2c.

An algebraic equation known as a trinomial has three non-zero elements and more than one variable. Examples include: x² + 5y - 25, a³ - 16b + 10, etc. Due to their three elements, these are trinomials.

Let's assume that the factorization of the trinomial ax² + bx + c is of the form (mx + p)(nx + q), where m, n, p, and q are integers.

Expanding this expression using FOIL, we get:

mnx² + (mq + np)x + pq

We know that this expression is equal to ax² + bx + c, so we can equate the corresponding coefficients:

mn = a

mq + np = b

pq = c

Since a and c are positive prime numbers, they have exactly two factors each (1 and themselves). Therefore, m and n must each be equal to either a or 1, and p and q must each be equal to either c or 1.

If m and n are both equal to a, then their product mn is equal to a², which is not prime (since a is prime and greater than 1). Therefore, one of m and n must be equal to 1, and the other must be equal to a. Similarly, one of p and q must be equal to 1, and the other must be equal to c.

Without loss of generality, assume that m = 1 and n = a, and that p = c and q = 1. Then we have:

mn = a

mq + np = a + c

pq = c

Substituting these values into the expression mn + mq + np + pq, we get:

a + a + c + c = 2a + 2c

Therefore, the expression that represents the value of b is:

b = 2a + 2c

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Answer

Solved Calculus AB, Semester 2 Assignment: Applications of ...

The population of a bacteria culture increases at the rate of 3 times the square root of the present population.