Which inequality is true?

A. 2 pi/ 2 < 3
B. 4 pi > 12
C. pi + 6 < 9
D. 3 pi - 1 < 8

Answer:

SAMEEE

Step-by-step explanation:

Answer:

The equation for a cylinder is  V = π r 2 h

Step-by-step explanation:

So this is what your equation would look like:

V = (π)(4)(2)(8)

Pi=3.14

Answer:

86.25

Step-by-step explanation:

Purchase Price: 115

Discount:

115x25=2875

2875/100=

28.75

115-28.75=

86.25

Answer:1

Step-by-step explanation: solving for d

Hi!

To solve this, first we should group like terms together.

1d - 2d - 10 + 7 = 8 - 10 + 1d - 3d

Simplify

-1d - 10 + 7 = 8 - 10 - 2d

-1d - 3 = -2 - 2d

Add 3 to both sides.

-1d - 3 + 3 = -2 + 3 - 2d

-1d = 1 - 2d

Add 2d to both sides.

-1d + 2d = 1 - 2d + 2d

1d = 1

Divide by 1 on both sides.

1d/1 = 1/1

d = 1

The answer is d = 1

Hope this helps!

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

Answer:

x = -8

Step-by-step explanation:

6(x-1) = 9(x+2)

6x - 6 = 9x + 18

-3x - 6 = 18

-3x = 24

x = -8

Let's Check the answer.

6(-8 - 1) = 9(-8 + 2)

6(-9) = 9(-6)

-54 = -54

So, x = -8 is the correct answer.

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Step-by-step explanation:

The angle is 13.134 degree

I Hope this is right and help for you

good night :)

Answer:

If the rate of change is -3, just subtract -3 from 14 (or make the equation to help you).

_________________________________________________________

The equation for the first one is:

y = -3x + 14

When you plug in the x values, you get the y values:

(-2, 20), (1, 11), (3, 5), (4, 2), (6, -4)

For the second one, the start value is 2, meaning that is is y. This means that when 2 is plugged in for y, the result is 0 (x). Now we can make the equation:

y = 0.4x + 2

When you plug the x values in, you get the y values:

(-1, 1.6), (1, 2.4), (4, 3.6), (5, 4), (10, 6)

_________________________________________________________

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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The length of the guy wire, to the nearest foot is 23 feet.

Based on the information provided, we can logically deduce that triangle ABE (ΔABE) is similar to triangle (ΔCDE) and the following parameters about the geometric figures;

Additionally, the corresponding sides of similar triangles are equal;

AB/CD = BE/DE

AB/6 = (9 + 4)/4

AB/6 = 13/4

AB = 19.5 feet.

By applying Pythagorean' theorem, side AE is given by:

AE = √(AB² + BE²)

AE = √(19.5² + 13²)

AE = 23.44 ≈ 23 feet.

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The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1  is , (0,0)

The equation of a  line is a relationship between x and y coordinates.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given points,

(-3, 9) and (1, -3)

m:n = 3:1

(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )

(X,Y) = (0,0)

Hence, the points will be, (0,0)

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The equilibrium points of the given nonlinear ordinary differential equation dx/dt = x^2 - x - 6 are x = -2 and x = 3.

To find the equilibrium points of the given nonlinear ordinary differential equation, we set dx/dt equal to zero and solve for x. In this case, we have:

x^2 - x - 6 = 0

Factoring the quadratic equation, we get:

(x - 3)(x + 2) = 0

Setting each factor equal to zero, we find two equilibrium points:

x - 3 = 0  -->  x = 3

x + 2 = 0  -->  x = -2

So, the equilibrium points are x = -2 and x = 3.

To determine the stability of these equilibrium points, we can analyze the behavior of the system near each point. Stability is determined by the behavior of solutions to the differential equation when perturbed from the equilibrium points.

For the equilibrium point x = -2, we can substitute this value into the original equation:

dx/dt = (-2)^2 - (-2) - 6 = 4 + 2 - 6 = 0

The derivative is zero, indicating that the system is at rest at x = -2. To analyze stability, we can consider the behavior of nearby solutions. If the solutions tend to move away from x = -2, the equilibrium point is unstable. Conversely, if the solutions tend to move towards x = -2, the equilibrium point is stable.

For the equilibrium point x = 3, we substitute this value into the original equation:

dx/dt = 3^2 - 3 - 6 = 9 - 3 - 6 = 0

Similar to the previous case, the system is at rest at x = 3. To determine stability, we analyze the behavior of nearby solutions. If the solutions move away from x = 3, the equilibrium point is unstable. If the solutions move towards x = 3, the equilibrium point is stable.

In conclusion, the equilibrium points of the given nonlinear ordinary differential equation are x = -2 and x = 3. The stability of x = -2 and x = 3 can be determined by analyzing the behavior of nearby solutions.

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The unit tangent vector T and the principal unit normal vector N can be computed for the given vector-valued function r(t) = (sin(t) + 2, cos(t) + 10, 6t). The unit tangent vector T represents the direction of the curve at each point, while the principal unit normal vector N is perpendicular to the tangent vector and points towards the center of curvature.

To find the unit tangent vector T, we differentiate r(t) with respect to t and divide by its magnitude:

r'(t) = (cos(t), -sin(t), 6)

||r'(t)|| = sqrt((cos(t))^2 + (-sin(t))^2 + 6^2) = sqrt(1 + 1 + 36) = sqrt(38)

Therefore, the unit tangent vector T is given by:

T = r'(t) / ||r'(t)|| = (cos(t)/sqrt(38), -sin(t)/sqrt(38), 6/sqrt(38))

To find the principal unit normal vector N, we differentiate T with respect to t and divide by its magnitude:

T'(t) = (-sin(t)/sqrt(38), -cos(t)/sqrt(38), 0)

||T'(t)|| = sqrt((sin(t)/sqrt(38))^2 + (-cos(t)/sqrt(38))^2) = sqrt(1/38 + 1/38) = sqrt(2/38) = sqrt(1/19)

Therefore, the principal unit normal vector N is given by:

N = T'(t) / ||T'(t)|| = (-sin(t)/sqrt(19), -cos(t)/sqrt(19), 0)

In summary, the unit tangent vector T for the given vector-valued function is (cos(t)/sqrt(38), -sin(t)/sqrt(38), 6/sqrt(38)), and the principal unit normal vector N is (-sin(t)/sqrt(19), -cos(t)/sqrt(19), 0). These vectors represent the direction and perpendicular direction to the curve defined by r(t).

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Answer:

10

Step-by-step explanation:

Answer:

87.5 days

Step-by-step explanation:

because 175 divided by 2 is 87.5 check yourself im new to brainly

The solution for system of equation provided as per the given question will be x = -19 and y = 55 or (-19,55).

It is given that the equations are:

y = –3x – 2

Simplifying it further, we get:

y + 3x = -2 (equation 1)

5x + 2y = 15 (equation 2)

Multiplying y + 3x = -2 by 2 and subtracting from 5x + 2y = 15, we get:

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Plugging the value of x in the equation y + 3x = -2, we get:

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

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The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

#1

So

Formula is

A is amplitude and M is magnitude

#b

So

Solution

Given that

sample size n = 11

The degree of freedom df = n - 1 = 11 - 1 = 10

At 99% confidence level,

Checking the table,

Therefore, the Critical value t value = 3.169

Answer:

6 and 16

Step-by-step explanation:

→ Find the most recurring number in sequence A

6

→ Find the most recurring number in sequence B

16

Answer:  The correct answer is 0.70 total

Step-by-step explanation:

Use the expression 0.10d + 0.05n where

d = number of dimes (4)

n = number of nickels (6)

= 0.10 (4) + 0.05 (6)

= 0.40 + 0.30

total = 0.70

Answer:

circle is measured by 360°

Step-by-step explanation:

circle half of 180°

Based on the information provided, we have a random sample of 60 measurements taken from a population with a mean (µ) of 25 and a variance (σ²) of 200.

The mean of the sample (X) will be equal to the population mean, so X = 25.

To calculate the standard error (SE) of the sample, we use the formula SE = σ / √n, where σ is the population standard deviation and n is the sample size. Since the variance is given as 200, the standard deviation (σ) is the square root of 200, which is approximately 14.14.

Now, we can calculate the standard error: SE = 14.14 / √60 ≈ 1.82.

So, the pair for the mean and standard error of x is (25, 1.82).

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No, it is not necessarily true that P1(ω) = P2(ω) for all ω ∈ Ω, even if P1(ω|A) = P2(ω|A) for every subset A ⊂ Ω of size |A| = 2 and for every outcome ω ∈ Ω.

This counterexample shows that the equality of conditional probabilities for events of size 2 does not imply the equality of the unconditional probabilities.

To see why, consider the following counterexample:

Let Ω = {ω1, ω2, ω3} and suppose that P1(ω1) = P1(ω2) = P1(ω3) = 1/3,

and that P2(ω1) = 1/2 and P2(ω2) = P2(ω3) = 1/4.

Now, let A = {ω1, ω2}.

Then, we have:

P1(ω1 | A) = P1(ω1)/P1(A)

= (1/3)/(2/3)

= 1/2

P1(ω2 | A) = P1(ω2)/P1(A)

= (1/3)/(2/3)

= 1/2

P1(ω3 | A) = 0

Similarly, we have:

P2(ω1 | A) = P2(ω1)/P2(A)

= (1/2)/(3/4)

= 2/3

P2(ω2 | A) = P2(ω2)/P2(A)

= (1/4)/(3/4)

= 1/3

P2(ω3 | A) = 0

Therefore, we have P1(ω | A) = P2(ω | A) for all ω ∈ Ω and all subsets A ⊂ Ω of size |A| = 2, but P1(ω) ≠ P2(ω) for at least one outcome ω ∈ Ω. Specifically,

we have P1(ω1) = 1/3 ≠ 1/2 = P2(ω1).

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Step-by-step explanation:

$240 for 12 t-shirts.

that means 240/12 = $20 per shirt.

therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.

all the other options use a different unit price.

Answer:

Super grillers

Step-by-step explanation:

1/2 converted to a decimal is 0.5, while 4/9 converted to a decimal is 0.444...

0.5 is larger than 0.444...

Answer:

23°

Step-by-step explanation:

By interior angle sum postulate of a triangle.

x = 180° - ( 124° + 33°)

x = 180° - 157°

x = 23°

The value of x is 23°

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°

Given here, in the given triangle separated by the diagonal in the parallelogram two angles are 33° and 124°

therefore by angle sum property, the value of the third angle is

is x=180°-(33°+124°)

   x= 23°

Hence, the value for x is 23°

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Answer:

30 pages

Step-by-step explanation:

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Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.