Miyasha rode her bicycle at 12 miles per hour for 1 3/4 hours. How far did she travel?

Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

Answer: 29

Step-by-step explanation:

I will explain how I got my answer and how it is correct. It is asking for the perimiter, so this is how you find it.

1. Add the lengths of all sides. (19 + 19 + 11 + 9 = 58)

2. (ONLY FOR TRIANGLES) Since this is a triangle, half that number because it is not a full square. (58 divided by 2 = 29)

Hope this helps! :)

Answer:

Step-by-step explanation:

27 is the "center" of a range of measurements of the height of the guard rail.  The height could be as much as 30 inches or as little as 24 inches.  The absolute value operator encloses "x - 27," where 27 is the "center."  The acceptable excess or acceptable deficiency is 3 inches.  

So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.

Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator.  27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is

D:  |h - 27| ≤ 3 (measurements in inches).

Answer:

24.5 inches need to be cut

Step-by-step explanation:

Answer:

2 cups

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the mixmum area y-axis also know in this graph as area then we go to the left hand side we see the mixmum point of the x-axis also know in this graph as width

the greater the area the greater the width

The formula to use to write sin(10.6v) - sin(3.4v) as a product is: B. difference of sines: \(2cos(\frac{x\;+\;y}{2} )sin(\frac{x\;-\;y}{2} )\).

The average of the original inputs is \(\frac{x\;+\;y}{2} =7v\)

Half the distance between the original inputs is \(\frac{x\;-\;y}{2} =3.6v\)

The difference as a product is: sin(10.6v) - sin(3.4v) = 2cos(7v)sin(3.6v).

In Mathematics and Geometry, the Bhaskaracharya sum and difference formulas that shows the relationship between sine and cosine values for trigonometric identities (two angles) can be modeled by the following mathematical equation;

sin(u + v) = sin(u)cos(v) + cos(u)sin(v)

sin(u - v) = sin(u)cos(v) - cos(u)sin(v)

sin(u + v) - sin(u - v) = 2cos(u)sin(v)

In this context, the formula to use in writing cos(17.6p) + cos(8.4p) as a product is given by:

sum of cosines: \(2cos(\frac{x\;+\;y}{2} )sin(\frac{x\;-\;y}{2} )\).

For the average of the original inputs, we have:

\(\frac{x\;+\;y}{2} =\frac{10.6\;+\;3.4}{2} \\\\\frac{x\;+\;y}{2} =7v\)

For half the distance between the original inputs, we have:

\(\frac{x\;-\;y}{2} =\frac{10.6\;-\;3.4}{2} \\\\\frac{x\;-\;y}{2} =3.6v\)

Therefore, the sum as a product can be written as follows:

sin(10.6v) - sin(3.4v) = 2cos(7v)sin(3.6v).

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Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

Answer:

-2×m-5×b=7×m-3×n

hope it helps

plz mark as brainliest

Answer:

n = -9/2m

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667Answer:

Step-by-step explanation:

1. The equation of plane is  : 2x − 8y + 6z − 2 = 0.

2. The distance from P to the plane is 16 / 7√19.

3. The distance between the two planes is 0.

1. Equation of the plane:In order to find the equation of a plane in 3D geometry, you need a point on the plane and the normal vector to the plane.

Here's how to do it in this problem:

Let P = (x, y, z) be an arbitrary point on the plane, and let A = (−7, 3, 3) and B = (3, 5, 7) be the two points the plane is equidistant from.

Then we have:

AP = BP ⟺ ||P − A|| = ||P − B|| ⟺ (P − A) · (P − A)

= (P − B) · (P − B) ⟺ (x + 7)² + (y − 3)² + (z − 3)²

= (x − 3)² + (y − 5)² + (z − 7)² ⟺ 2x − 8y + 6z − 2

= 0

2. Distance between the point and the plane:

The distance from a point P to a plane given by the equation

Ax + By + Cz + D = 0 is:

|Ax + By + Cz + D| / √(A² + B² + C²)

Plugging in the values from the problem, we have:

P = (1, −9, 9) and the plane is

3x + 2y + 6z = 5.

The normal vector to the plane is N = ⟨3, 2, 6⟩.

Then the distance from P to the plane is:

|3(1) + 2(−9) + 6(9) − 5| / √(3² + 2² + 6²)

= 16 / 7√19

3. Distance between parallel planes:

The distance between two parallel planes given by the equations

Ax + By + Cz + D = 0 and Ax + By + Cz + E = 0 is:

|D − E| / √(A² + B² + C²)

Plugging in the values from the problem, we have the two planes:

4z = 6y − 2x and 6z = 1 − 3x + 9y.

Both planes are already in the form Ax + By + Cz + D = 0,

so we can read off the coefficients and plug them into the formula above:

|0 − 0| / √(4² + 6²)

= 0 / 2√13

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Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

The narrator describes the house in this way to convey a sense of decay and deterioration. It is not to show that it has a nice design, remind him of something rotting, indicate the number of people inside, or suggest that the owner had a lot of parties.

The line from "Fall of the House of Usher" describes the house using imagery of old wood-work that has rotted in a neglected vault. This description serves to create a mood of decay and deterioration. The phrase "specious totality of old wood-work" suggests that the once-grand and impressive architecture of the house has fallen into disrepair. By comparing it to something rotting in a neglected vault, the narrator conveys a sense of neglect and isolation. The description emphasizes the dilapidated state of the house, setting the tone for the eerie and decaying atmosphere that permeates the story.

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Answer:

i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?

Step-by-step explanation:

Answer:

2.25:)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

divide 70 into 5

if you were to draw it out it would be 5 circles and you put one line until you reach 70 in each circle you would get 14

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Considering the sequence

10,5,0,-5...

The difference between the succeive terms are equal

5 - 10 = 0 - 5 = -5 - 0

Hence there is a common difference. An arithmetic sequence has a common difference hence the sequence is arithmetic.

The required 99% confidence interval representing the true proportion of all college students owns a car lies between the range of 0.3253 and 0.4283.

Sample size n = 319

Students who own a car represents the number of successes x = 120  

Confidence interval =  99%

True proportion p of all college students who own a car.

The formula for the confidence interval for a population proportion is,

p1± zα/2 × √(p1(1-p1)/n)

where p1 is the sample proportion,

zα/2 is the z-score corresponding to the desired level of confidence interval 99%.

First, we find the sample proportion,

p1 = x/n

    = 120/319

    ≈ 0.3768

z-score corresponding to a 99% confidence level.

This is a two-tailed test,

Split the alpha level evenly between the two tails.

α/2 = (1 - 0.99) / 2

     = 0.005,

The z-score that encloses 0.005 in each tail of the standard normal distribution.

Using a standard normal table ,

zα/2 = 2.576.

Substituting the values into the formula, we get,

p1 ± zα/2 × √(p1(1-p1)/n)

= 0.3768 ± 2.576×√(0.3768(1-0.3768)/319)

= 0.3768 ± 0.0515

99% confidence interval for the true proportion p of all college students who own a car is,

0.3253 ≤ p ≤ 0.4283

Therefore, 99% confidence interval that the true proportion of all college students who own a car lies between 0.3253 and 0.4283.

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The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400

Given,

In the question;

Sin(a) = 1/4 and cos(b) = -3/5

with a and b both in the interval [\(\frac{\pi }{2} ,\pi\))

To find the sin(a + b) and cos (a - b)

Now, According to the question:

We know that :

Sin (b) =   \(\sqrt{1-cos^2b}\) = 4/5

Cos (a) = - \(\sqrt{1-sin^2a} = - \frac{\sqrt{15} }{4}\)

∴ Sin(a + b) = Sin(a) Cos(b) + Cos(a) Sin(b)

  Sin(a + b) = 1/4. (-3/5) + \(-(\frac{\sqrt{15} }{4} )\) . 4/5

   Sin(a + b)  =   \(-\frac{3+4\sqrt{15} }{20}\)

∴ Cos (a -b) = \(cos^2a -sin^2b\)

Cos (a -b) = \((-\frac{\sqrt{15} }{4} )^2\) - \((\frac{4}{5} )^2\)

Cos (a -b) = 119/400

Hence, The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400 .

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The surface area of the part of the x2 + y2 + z2 = 8z that lies inside the paraboloid z = x2 + y2, using the cylindrical coordinates is given as below:

The integral to find the surface area in the cylindrical coordinates, we can write as,

∫∫ dS = ∫∫ r dθ dr The given surface is x2 + y2 + z2 = 8z and the paraboloid is z = x2 + y2

By substituting the value of z from the paraboloid to the first equation,

we get,x2 + y2 + (x2 + y2)2 = 8(x2 + y2) Simplify it by expanding the square term as,

x2 + y2 + x4 + 2x2y2 + y4 = 8x2 + 8y2Now,

re-write the equation as,

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = 0On

solving this equation, we get

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0

The equation of the paraboloid is given as, z = x2 + y2Hence,

the integral to find the surface area of the given surface in cylindrical coordinates,

∫∫ dS = ∫∫ r dθ dr Bounds of the integral to find the surface area are 0 ≤ θ ≤ 2π and r1 ≤ r ≤ r2,

where r1 and r2 are the radii of the cylinder.

Solve this equation and get the values of r1 and r2,r2 = 2r1

On solving the quadratic equation of (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0,

we get,

x2 + y2 - 4x - 4y + 4 = 0

The equation of the circle is given as

,x2 + y2 = 4x + 4y - 4 Solve for x and y to get,

x = 2 + cos θ y = 2 + sin θ

The radius of the circle is given as,

√(42 + 42) = √32 Thus,

the limits of integration of r are r1 = 0 and r2 = √32.

Integrating over the limits,

∫0^2π ∫0^√32 r dr dθ= 1/2(32) (2π)= 16πTherefore,

the surface area of the given surface is 16π.

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SAT math scores for an ap statistics class of 20 students: 664, 658, 610, 670, 640, 643, 675, 650, 676, 575, 660, 661, 520, 667, 668, 635, 671, 673, 645, and 650 the distribution of scores is

skewed to the left. The correct answer is (b).

To determine the shape of the distribution of SAT math scores for the AP statistics class, we can create a histogram or a box plot. From the provided scores, we can see that the range of the scores is 520 to 676.

The distribution appears to be slightly skewed to the left as there are a few scores on the lower end, but most of the scores are grouped in the middle and upper end of the range. Additionally, the mean score is 648.6, which is slightly lower than the median score of 658, indicating that the distribution is slightly negatively skewed.

The distribution of SAT math scores for the AP statistics class is slightly skewed to the left, which means that there are more scores on the higher end of the range, and a few lower scores.

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Answer:

mm

Step-by-step explanation:

,l

Answer:

6 apples ofc

Step-by-step explanation:

Answer:

volume of the sphere

=4/3π × r³

=4/3π × 3 × 3 × 3

=4/3π × 27

=36π ( c )

The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, We know that;

volume of the sphere is,

V = 4/3π × r³

Here, We have;

r = 3

Hence, We get;

V = 4/3π × 3 × 3 × 3

= 4/3π × 27

=36π

Thus, The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

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The required number of two positive consecutive integers are 35 and 36.

Consecutive integers are the whole numbers that follow each other without gaps. consecutive  integers are even, and odd integers.

consecutive even integers that differ from previous integer by difference of 2 and each integer is divisible by 2.

consecutive odd integers that differ from previous integer by difference of 2 and each integer is an odd number.

let the first positive integer be x

Therefore the second positive integer be (x+1)

Given that the sum of two consecutive positive integer is 71:

x+(x+1)=71

open the bracket

x+x+1=71

Add the similar terms

2x+1=71

2x=71-1

2x=70

x=35

Finding the second integer Substituate the value of x=35 in (x+1):

x+1=35+1

x+1=36

The required number of two positive consecutive integers are 35 and 36.

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Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

Add 2\sqrt[3] to both sides as shown;

Take the cos inverse of both sides

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

Answer:

a, 4,200,008

Step-by-step explanation:

four million = 4,000,000

two hundred thousand = 200,000

eight = 8

4,000,000 + 200,000 + 8 = 4,200,008