Tasha graphs a star with one tip at point ​S(-​3,1). What are the coordinates of the corresponding point after a 90 rotation about the​ origin?

The given data set: 4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10 is skewed right or positively skewed due to a cluster of values towards the center and a gradual increase on the right side. The correct answer is A) Skewed Right.

The given data set is: 4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10.

To determine the shape of the data set, we can analyze its distribution.

Looking at the data set, we can observe that the values are gradually increasing from 4 to 10. However, there are multiple occurrences of the numbers 6, 7, and 8. This indicates that the data set has a cluster or mode around these values.

Since the data set has a cluster of values towards the center and a gradual increase on the right side, it suggests that the data set is skewed right or positively skewed.

Therefore, the correct answer is A) Skewed Right.

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On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

First, change 2/5 to tenths. That equals 4/10. Now, we subtract. 7/10 - 4/10 is... that's right! 3/10! That's about 1/4. Good luck!

Answer:

the answer is 1/4

Step-by-step explanation:

sorry if it is wrong

Answer:

The answer is  0

Answer:

\(\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Product Rule:                                                                                                         \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Quotient Rule:                                                                                                       \(\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}\)

Trig Derivative:                                                                                                       \(\displaystyle \frac{d}{dx}[cos(u)] = -u'sin(u)\)

eˣ Derivative:                                                                                                         \(\displaystyle \frac{d}{dx}[e^u] = u'e^u\)

Step-by-step explanation:

Step 1: Define

\(\displaystyle y = \frac{(3x + 1)cos(2x)}{e^{2x}}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC

Unit: Derivatives

Book: College Calculus 10e

Using simple division we know that 86 people or citizens dies each day in 2015.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The other operations are multiplication, addition, and subtraction.

Division in mathematics is the process of dividing an amount into equal parts.

For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

So, we know that:

31,500 people died in 2015.

We also know that 2015 had 365 days.

Then, people died easily day would be:

= 31,500/365

= 86.30

Rounding off: 86 people

Therefore, using simple division we know that 86 people or citizens dies each day in 2015.

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The expression that illustrate the diagram below is f(x) = 47-2x

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

In the diagram, the total no of box is 45 and 2 boxes are missing on the second box. Therefore the constant in the the expression is 45+2 = 47. Let x be the variable.

Therefore f(x) = 47-2x

when it is pattern 1

x= 1

f(1) = 47-2 = 45

when it's pattern 2

f(x) = 47-2×2 = 43

when it's pattern 3

f(x) = 47- 2×3 = 41

therefore the expression that can illustrate the diagrams is f(x) = 47-2x

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Answer:

9%

Step-by-step explanation:

(final - initial )/ initial * 100

3.87 / 43 * 100

= 9%

Given:

Find : Graph of function.

Sol:

Graph of function is :

It is a ellipse with the center and radius of the circle is:

Answer:

The rides cost $13.75 in total.

Step-by-step explanation:

It cost $2.75 every ride and they went on 5 rides.

$2.75 x 5 = $13.75

Answer:

The points are "(2,2)".

Step-by-step explanation:

Given value:

\(f(x,y)=x^3-6xy+y^3+7\)

Finding the first partial derivation which is equal to 0.

\(\to f_x(x,y)=3x^2-6y...............(a)\\\\ \to f_y(x,y)=-6x+3y^2...................(b)\)

solve both the above equation by equal to 0.

For equation (a)

\(\to 3x^2-6y=0\\\\\to 3x^2=6y\\\\\to x^2=2y\\\\\to y=\frac{x^2}{2}\\\\\)

For equation (b)

\(\to -6x+3y^2 =0 \\\\\to 3y^2 =6x\\\\\text{put the value of y in equation b}\\\\\to 3(\frac{x^2}{2})^2 -6x=0\\\\\to \frac{3}{4} x^4 -6x=0\\\\\)

by solving the above value in the form of x we get:

\(\to x=0\\ \to x=2\\ \to x= -1 +\sqrt{3} i\\ \to x= -1 -\sqrt{3} i\\\)

by solving the above value in the form of y we get:

\(\to y=0\\ \to y=2\\ \to y= -1 +\sqrt{3} i\\ \to y= -1 -\sqrt{3} i\\\)

Solve the value by applying the second derivation method:

\(\to f_{xx}(x,y)=6x...............(a1)\\\\ \to f_{yy}(x,y)=6y...................(b2)\\\\\to f_{xy}(x,y)=-6...................(c2)\)

calculating the value of discriminate:

\(d=f_{xx}(x,y) f_{yy}(x,y)-[f_{xy}(x,y)]^2\)

The critical point of the given equation will be (2,2)

\(d=f_{xx}(2,2) f_{yy}(2,2)-[f_{xy}(2,2)]^2\\\\\)

  \(= (6 \times 2) (6 \times 2) -[(-6)^2]\\\\= (12) (12) -[36]\\\\= 144 -36\\\\= 108\\\\\)

Answer:

\((2,2)\) is a minimum point of the function \(f(x,y).\)

Step-by-step explanation:

\(f(x,y)=x^3-6xy+y^3+7\)

Find the partial differentiation w.r.t. \(x\) and \(y\).

\(\frac {\partial f}{\partial x}=3x^2-6y\)

\(\frac {\partial f}{\partial y}=-6x+3y^2\)

\(\frac {\partial^2 f}{\partial x^2}=6x\)

\(\frac {\partial^2 f}{\partial y^2}=6y\)

\(\frac{\partial f}{\partial xy}=-6\)

Find the critical points.

\(\frac {\partial f}{\partial x}=\frac {\partial f}{\partial y}=0\)

\(\Rightarrow 3x^2-6y=0 \;\text{and}\; -6x+3y^2=0\)

\(\Rightarrow 6y=3x^2\Rightarrow y=\frac{x^2}2\)

\(\Rightarrow -6x+\frac 34 x^4=0\Rightarrow \frac {x^3}4=2\)

\(\Rightarrow x^3=8\Rightarrow x=2,y=2\)

Therefore, \((2,2)\) is a critical point.

Now, \(\frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2\)

\(=6x6y-36=36xy-36>0 \;\text{at critical point }\; (2,2)\)

Thus, \((2,2)\) is not a saddle point.

\(\because \frac{\partial^2 f}{\partial x^2}>0 \; \text{and}\; \frac {\partial^2 f}{\partial x^2}\frac {\partial^2 f}{\partial y^2}-{\frac {\partial f}{\partial xy}}^2>0 \;\text{at point}\; (2,2)\)

Hence, \((2,2)\) is a local minimum of a given function.

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average cost = Total cost to produce / number of items produced

Fixed cost per year = $240,000

Variable cost = $3.50s

Where s = number of shoes produced

Total cost= fixed cost + variable cost

Total cost = $240,000 + $3.50s

When average cost = $7.50

Average cost = Total cost to produce / number of items produced

7.50 = $240,000 + $3.50s / s

Cross product

7.50s = $240,000 + $3.50s

Collect like terms

7.50s - 3.50s = 240,000

4s = 240,000

divide both sides by 4

s = 240,000 / 4

= 80,000

s = 80,000

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer: x=25 degrees

Step-by-step explanation:

25 degrees (blue) and x degrees (orange) are vertical angles. Vertical angles always equal each other.

(80 degrees {green} is just there to throw you off)

Answer:

35 + 17c I hope this helps!! Plz give brainliest!!!

Step-by-step explanation:

7(5+2c)+3c

35+14c+3c

35+17c

Answer:

\({ \tt{ {a}^{8} - {12a}^{4} + 36}} \\ = { \tt{ {a}^{4} ( {a}^{2} - 12) + 36 }} \\ = ( {a}^{2} - 12)( {a}^{4} + 36) \\ \)

According to the given statement;

a sloth go 600 units in 90 minutes

A fraction is used to denote a piece or component of a whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

According to the given values;

A sloth may move in one hour = 250÷5/8.

let us simplify 250÷5/8 first.

Division sign can be convert into multiplication sign and flip the right side fraction 5/8 to 8/5.

250×8/5

Dividing 250 by 5, we get

= 50 × 8

Multiplying 50 and 8,  we get

= 400.

So, we could say, a sloth may move in one hour = 400 units.

We need to find distance covered in 90 minutes.

Let us convert 90 minutes into hours.

60 minute = 1 hour.

1 minute = 1/60 th of an hour.

and 90 minutes = 90 * 1/60 = 90/60 = 9/6 = 1.5 hours.

a Sloth may move in one hour = 400 units.

Therefore, in 1.5 hours Sloth can move = 1.5 × 400 = 600 units.

So, a sloth go 600 units in 90 minutes

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Answer:

C. -i

Step-by-step explanation:

i^n is expondential. i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1.

Answer:

it is i

Step-by-step explanation:

Answer:

x=5

y=2

Step-by-step explanation:

5x + 3y= 31

-6x - 3y = -36  (multiple  by -3)

-x=-5

x=5

2(5)+y=12   or         25 + 3y= 31

10+y=12                  3y=6

y=2                          y=2

Answer:

x = 5, y = 2

Step-by-step explanation:

I'll use substitution on this one, which makes me choose one of the equation and solve for x. (5x + 3y = 31 was chosen)

5x + 3y = 31

Subtracct 3y from both sides

5x = -3y + 31

Divide both sides by 5

x = 1/5 (-3y + 31)

Multiply 1/5 by -3y + 31

x = -3/5y + 31/5

Substitute -3/5y + 31/5 for x in the other equation (2x + y = 12)

2 (-3/5y + 31/5) + y = 12

Multiply -3/5y + 31/5 by 2.

-6/5y + 62/5 + y = 12

Add -6/5y to y

-1/5y + 62/5 = 12

Subtract 62/5 from both sides

-1/5y = -2/5

Multiply both sides by -5

y = 2

Now head back to the previous equation, except substitute y for 2.

x = -3/5 * 2 + 31/5

Multiply -3/5 by 2.

x = (-6 + 31)/5

Add -6 and 31

x = 25/5

Divide 25 by 5.

x = 5

Formulate 5 and 2 for x and y in the equation.

5(5) + 3(2) = 31

2(5) + 2 = 12

25 + 6 = 31; true

10 + 2 = 12; true

x is 5 and y is 2.

Answer:

Step-by-step explanation:

the formula for finding  the volume of a cone would be V= 3.14 r sqaured * h/3

so plug that in and it would be   3.14(5.1) sqaured * 13/3

3.14 is the formula of pie which is in the formula for finding the volume of

5.1*5.1=  26.01

3.14* 26.01= 81.67    

13/3= 4.34

81.67* 4.34= 354.45

The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Since

We know that

Volume = \(\pi r^2 \frac{h}{3}\)

Since the circumference is 5.1 inches

So here the radius be like

Circumference = \(2\pi r\)

5.1 = 2(3.14) r

r = 0.8121

Now the volume should be

\(= 3.14 \times (0.8121)^2 \frac{13}{3}\)

= 8.97824

Hence, The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

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Using the distance formula, the length of segment PQ is:

C. √68 units

The distance formula is given as:

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Segment PQ has the following endpoints:

P(-2, 3)

Q(6, 1)

To find the length of segment PQ using the distance formula, we can apply the formula, where:

\((x_1, y_1)\)are the coordinates of point P

\((x_2, y_2)\) are the coordinates of point Q.

Given:

P(-2, 3) = \((x_1, y_1)\)

Q(6, 1) = \((x_2, y_2)\)

Let's substitute the values into the formula:

PQ = √[(6 - (-2))² + (1 - 3)²]

PQ = √[(8)² + (-2)²)

PQ = √(64 + 4)

length of segment PQ = √68 units

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Answer:

90°

Step-by-step explanation:

Answer:

2/3 divided by 4 = .16

Step-by-step explanation:

This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8

Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.