The diagram shows the distances of kitchen appliances in feet. What is the range of distances, d, from the range to the refrigerator? ​

According to square root and multiplication, the simplified answer is 126.54.

Rewriting the equation first to perform multiplication and simplify the equation -

Equation = (5✓3 + ✓15) × (3✓5 + ✓15)

Firstly multiplying the possibile entities in the equation

Equation = 15✓15 + 5✓3×✓15 + 3✓5×✓15 + 15

Keep the value of ✓3 and ✓15 in the equation

✓15 = 3.9

✓3 = 1.7

Equation = 15×3.9 + 5×1.7×3.9 + 3×1.7×3.9 + 15

Performing multiplication on Right Hand Side of the equation

Equation = 58.5 + 33.15 + 19.89 + 15

Performing addition on Right Hand Side of the equation

Equation = 126.54

Thus, the simplified form of equation is 126.54.

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y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)

Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.

The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).

thus , y' =  \(\frac{e^{x}-xe^{x} }{x^{2} }\)

y'(1) = 0 = m

Our slope is indicated by the horizontal line.

y−\(y_{1}\)=m(x−\(x_{1}\))

Our line will simply be our y-coordinate because our slope(m) is 0:

e

Therefore:

The tangent line's equation is y=e.

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The mean of the population is 5 and the standard deviation is approximately 2.236.

To find the mean and standard deviation of the given population, we can use the formulas for the mean and standard deviation of a population.

Mean (μ) of a population:

The mean of a population is calculated by summing up all the values and dividing by the total number of values.

Mean (μ) = (2 + 4 + 6 + 8) / 4 = 20 / 4 = 5

The mean of this population is 5.

Standard Deviation (σ) of a population:

The standard deviation of a population measures the dispersion or variability of the data points around the mean. It is calculated using the following steps:

1. Find the mean of the population (which we already calculated as 5).

2. Subtract the mean from each data point and square the result.

  (2 - 5)^2 = 9, (4 - 5)^2 = 1, (6 - 5)^2 = 1, (8 - 5)^2 = 9

3. Find the average of the squared differences by summing them up and dividing by the total number of values.

  (9 + 1 + 1 + 9) / 4 = 20 / 4 = 5

4. Take the square root of the average to get the standard deviation.

  √5 = 2.236

The standard deviation of this population is approximately 2.236.

Therefore, the mean of the population is 5 and the standard deviation is approximately 2.236. These values indicate the average number of defective mobiles in the population and the amount of variation or dispersion around the mean, respectively.

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Answer:

\(a ^{2} \)

a^4 + a^2 + 1

a^4 + a^2 + x + 1

a^2 ( a^2 + 1) + 1 ( x + 1)

so, here clearly we can see that If wee add a^2 in place of x it would be a perfect square..

Hope it helpz~

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

There are 86 treats did Sidney buy in all.

We have to given that;

Sidney bought some treats for her puppy.

And, She bought 5 packs of crunchy treats and 7 bags of soft treats.

Since, There were 6 crunchy treats in each pack and 8 soft treats in each bag.

Hence, Total crunchy treats in 5 packs are,

= 5 x 6

= 30

And, Total soft treats in 7 bags are,

= 8 x 7

= 56

Therefore, Total number of treats did Sidney buy in all is,

⇒ 56 + 30

⇒ 86

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Answer:

i believe its d

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

2x + 2y = -2

3x - 2y = 12

Add the two equations to eliminate y

2x + 2y = -2

3x - 2y = 12

-----------------------

5x   = 10

5x/5 = 10/5

x = 2

Now find y

2x+2y = -2

2(2)+2y = -2

4+2y = -2

Subtract 4 from each side

4-4 +2y = -2-4

2y = -6

Divide by 2

2y/2 = -6/2

y = -3

(2,-3)

Answer:

The parts of the number are 200 and 320

Step-by-step explanation:

System of Equations

Suppose a and b are the two parts. They must meet two conditions:

\(a+b=520\qquad\qquad [1]\)

\(\displaystyle \frac{a}{b}=\frac{5}{8}\qquad\qquad [2]\)

From [1], we have:

\(b=520-a\)

Replacing in [2]:

\(\displaystyle \frac{a}{520-a}=\frac{5}{8}\)

Cross-multiplying:

\(8a=5*(520-a)\)

Operating:

\(8a=2600-5a\)

Joining like terms:

\(13a=2600\)

Solving:

\(a=2600/13=200\)

a=200

Since:

\(b=520-a\Rightarrow b=520-200\)

b=320

The parts of the number are 200 and 320

Answer:

200 and 320

Step-by-step explanation:

2b + 3

Step-by-step explanation:

Combine like terms

7b -9b = -2b

-2b +4b =2b

2b +3 = 2b+3

The mean increases by 3.13° when a value of 101° is added to the data. Therefore, the correct answer is (b) the mean increases by 1.6°.

To find out how the mean changes when a value of 101° is added to the data, we need to calculate the original mean and the new mean.

The original mean can be calculated by adding up all the temperatures and dividing by the number of temperatures:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.25

So, the original mean is 81.25.

To find the new mean, we need to add 101 to the sum of the temperatures and divide by the new total number of temperatures, which is 13:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101) / 13 = 84.38

So, the new mean is 84.38.

The difference between the new mean and the original mean is:

84.38 - 81.25 = 3.13

Therefore, the mean increases by 3.13° when a value of 101° is added to the data.

Thus, the correct answer is (b) the mean increases by 1.6°.

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Answer:

Answer:

8

Step-by-step explanation:

7   : 2

We know the larger number is  28

28 : x

We multiply 7 * 4 = 28, so multiply the first ratio by 4

7*4   : 2*4

28  : 8

The second number is 8

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The required fill in the blanks is  110° and 360°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The figure shows that to find the angle.

According to given question we have

The first answer of the figure is 110°.

Obtuse angle is more than 90° and less than 180°.

The second answer of the figure is 360°.

A full angle, also called a complete angle, round angle, or perigon, is an angle equal to radians.

Therefore, the required fill in the blanks is  110° and 360°.

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Answer:

(625 • (x4)) -  28y4

 54x4 -  28y4 3.1      Factoring:  625x4-256y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  625  is the square of  25  

Check : 256 is the square of 16

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  

Check :  25  is the square of  5  

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

There are 87 possible outcomes that contain at least three heads when a coin is flipped 9 times.

When a coin is flipped nine times, there are 512 possible outcomes, or 29. Using the equation:

P (At least one head) = 1 - 0.5n,

where n is the total number of flips, we can determine the number of outcomes that contain at least three heads.

Therefore, P (At least three heads) = 1 - P (No heads) - P (One head) - P (Two heads)

= 1 - (0.5)⁹ - 9(0.5)⁹ + 36(0.5)⁹

= 0.1718751.

The formula used to calculate the number of possible outcomes that contain at least three heads is C(9,3) + C(9,4) + C(9,5) + C(9,6) + C(9,7) + C(9,8) + C(9,9),

where C(n,r) denotes the variety of options for selecting item(s) r from a set of item(s) n.

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Answer:

0.6 centimeter

Step-by-step explanation:

The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)

0.5835 cen. → 0.6 cen.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

m = 5

Step-by-step explanation:

The equation is y = mx + b

The m here is the slope; in this case, the slope is 5

The solid can be described in terms of inequalities involving spherical coordinates as follows:

In spherical coordinates, the cone is given by the equation ρ = z, and the sphere is given by the equation ρ = cos(ϕ).

For the solid to lie above the cone, we have the inequality ρ ≥ z. This ensures that the solid extends from the origin towards positive z-direction.

For the solid to lie below the sphere, we have the inequality ρ ≤ cos(ϕ). This ensures that the solid is bounded within the sphere.

Combining both inequalities, we have the description of the solid in terms of spherical coordinates as follows:

ρ ≥ z and ρ ≤ cos(ϕ), where ρ represents the radial distance, z represents the height, and ϕ represents the angle between the positive z-axis and the position vector in the xy-plane.

These inequalities define the region where the solid lies in the space, above the cone and below the sphere.

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Answer:

The Answer is 130 people

Answer:

130 people

Step-by-step explanation:

This is a classic ratio problem that can be solved through dimensional analysis (the use of units and a little bit of thinking). If the ratio of people to pizzas for a party is 13/3, or in otherwords, for every 13 people there exists 3 pizzas, then if you have 30 pizzas, there will be 130 people, because

30 pizzas · 13/3 (peoples per pizzas)=130 people

Answer:

so the answer is 32/48

Step-by-step explanation:

(8+24)/(12*4)

32/48

2/3

i hope this helps

The electric field at the origin due to the infinite distribution of particles is given by E = (π² * k * q) / (6 * a²), where k is the electrostatic constant, q is the charge of each particle, and a is the distance between the particles and the origin.

The electric field at the origin due to an infinite distribution of identical particles, each with charge q and placed at distances a, 2a, 3a, 4a, and so on from the origin, can be determined by applying the principle of superposition.

Each particle contributes an electric field given by Coulomb's law, Eᵢ = k * (q / (i * a)²), where i represents the index of the particle.

Summing up the contributions from all the particles, we obtain the expression E = k * (q / a²) * (1/1² + 1/2² + 1/3² + ...). By recognizing that the sum of the reciprocals of the squares corresponds to the Basel problem solution, π²/6, we can simplify the expression to E = (π² * k * q) / (6 * a²).

Thus, the exact value of the electric field at the origin is given by E = (π² * k * q) / (6 * a²), assuming that the particles are point charges and the distances between them are much larger than their size.

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The complete question is:

Consider an infinite no of identical particle , each with charge q , place along the x-axis at the distace a, 2a, 3a, 4a ...from the origin. what isthe electric field at origin due to thid didtribution. Use the following expression. 1+221​+321​+421​+⋯=π²/6   E=?

Answer:

0

Step-by-step explanation:

Answer:

The answer should be A.

Step-by-step explanation:

Well, to determine how two triangles are similar you first look at the image of what they give you.

As you can see the images shows only degree angles.

Looking at your option to see degree angles.

In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.

Our last option is between A and D.

D is false as we determine the triangles are similar to each other.

RCW and VCB are vertically opposite meaning their 25° are the same to each other.

We know that every triangle adds up to 180.

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

25

Step-by-step explanation:

8 fluid ounces = 1 cup so 200/8 = 25

Answer:

it would be 90, if you add 60 and 30 together you get 90! :')

Step-by-step explanation:

There is one critical point which is (5,10), and it is a local minimum which is also the global minimum of f(x,y) subject to the constraint x + y = 15.

To find the extremum of f(x,y) subject to the constraint x + y = 15,

Use the method of Lagrange multipliers.

Let g(x,y) = x + y - 15 be the constraint function.

Find the critical points of the function

\(F(x,y,λ) = f(x,y) - λ*g(x,y), \)

where λ is the Lagrange multiplier.

Taking the partial derivatives of F with respect to x, y, and λ, we get:

\(∂F/∂x = 2x - 2y - λ \\

∂F/∂y = 4y - 2x - λ \\

∂F/∂λ = x + y - 15\)

Setting these partial derivatives equal to zero and solving the system of equations, it becomes,

x = 2y

x = 5

y = 5/2

Substitute x = 5 in the constraint equation x + y = 15, we get

y = 10.

Therefore, the critical point is (5, 10).

To determine whether this critical point is a maximum or a minimum, use the second partial derivative test.

The Hessian matrix of f(x,y) is:

H = [2 -2; -2 4]

Evaluating H at the critical point (5,10)

H(5,10) = [2 -2; -2 4]

The determinant of H(5,10) is 8, which is positive.

Therefore, the critical point (5,10) is a local minimum of f(x,y) subject to the constraint x + y = 15.

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