What is the approximate area of a circle show below?

The number of students that are expected to carry a backpack is = 378

The total number of students in the assembly= 648

The number of students that enters the gym =12

The number of students carrying backpack = 7 out of 12

The total number of batches that entered the gym = 648/12 = 54

Therefore, the number of students that are expected to carry a backpack is = 54 ×7 = 378

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Answer:

x +y ≥ 600

This would be the inequality this is probably wayy late sorry :(

Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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The 95% confidence interval interpretation is as follows:

The 95% confidence interval means that  we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).

However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.

If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.

If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.

The exact width of the interval would depend on the sample size and standard deviation used to compute it.

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Answer:

The force of friction is 19.1 N

Step-by-step explanation:

According to Newton's second law, the net force acting on the bag is equal to the product between its mass and its acceleration:

where

is the net force

m is the mass

a is the acceleration

The bag is moving at constant speed, so its acceleration is zero:

Therefore the net force is zero as well:

Here we are interested only in the forces acting along the horizontal direction, therefore the net force is given by:

where

is the horizontal component of the applied force, with

F = 22.5 N

is the force of friction

And solving for , we find

Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.

It is expressed as;

V = IR

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given that;

Initially, A circuit has a current I = 1.2A

V = IR

R = V/I

R = V/1.2A ...... let this be equation 1

Next, voltage decreases to one-third of its original amount while the resistance remains constant.

Meaning Voltage = 1/3 of V = V/3

Hence;

V = IR

V/3 = IR

From equation 1 ( R = V/1.2A )

V/3 = I × V/1.2A

V/3 = IV/1.2A

We cross multiply

V1.2A = 3IV

I = V1.2A / 3V

I = 1.2A / 3

I = 0.4A

Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

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Answer:

0.4 A

Step-by-step explanation:

When resistance is constant, current is proportional to voltage. When 1/3 the voltage is applied, 1/3 the current will result. (1/3)* (1.2 A) = 0.4 A The resulting current will be 0.4 A.

The polar equation for the curve represented by the Cartesian equation x² = 2y is r = 2tanθcscθ.

To convert the Cartesian equation x² = 2y into a polar equation, we can use the substitution x = rcosθ and y = rsinθ, where r represents the radial distance and θ represents the angle.

Substituting these values into the equation, we have (rcosθ)^2 = 2(rsinθ).

Expanding and simplifying, we get r²cos^2θ = 2rsinθ.

Dividing both sides by r and simplifying further, we obtain rcos^2θ = 2sinθ.

Using the trigonometric identity cos^2θ = 1 - sin^2θ, we can rewrite the equation as r(1 - sin^2θ) = 2sinθ.

Expanding the equation, we have r - rsin^2θ = 2sinθ.

Rearranging terms, we get r = 2sinθ + rsin^2θ.

Simplifying further, we can factor out sinθ: r = sinθ(2 + rsinθ).

Comparing this equation with the options, we find that the correct polar equation for the curve is:

E) r = 2tanθcscθ.

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Answer:

60

if its all of 60 the answer is 60

Step-by-step explanation:

have a great day

Step-by-step explanation:

let the number be x

x +3= 2x

collect the like terms

x-2x= -3

-x = -3

x=3

PLEASE MARK BRAINLIEST

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

Answer:

k = - 8

Step-by-step explanation:

Since the equation has equal roots then the discriminant Δ = 0 , that is

b² - 4ac = 0

Given

x² + 8x - k(x + 8) = 0 ← distribute parenthesis and simplify

x² + 8x - kx - 8k = 0

x² + (8 - k)x - 8k = 0 ← in standard form

with a = 1 , b = (8 - k) , c = - 8k

(8 - k)² - (4 × 1 × - 8k) = 0

64 - 16k + k² - (- 32k) = 0

64 - 16k + k² + 32k = 0

k² + 16k + 64 = 0

(k + 8)² = 0

k + 8 = 0 , then

k = - 8

Answer:

Triangle 1 -    \(\sqrt{29\) (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

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Answer:

Out side the circle

Step-by-step explanation:

This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.

Answer:

it should be linear

Step-by-step explanation:

if its linear u can draw a straight line through most of the points

Answer: 9.45

Step-by-step explanation:

2.3 * 108 = 248.4

9.8 * 108 = 1,058.4

248.4 divided by 1,058.4 = 9.45

Answer:

chicken nuggies

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The matrices are conformable for multiplication.

Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.

AB = \(\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right]\) = \(\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right]\) = \(\left[\begin{array}{ccc}16\\3\\\end{array}\right]\) → C

Answer:

The three numbers are:

4.62,

23.1, and

462.2

Step-by-step explanation:

Let X be the "first number."

B = What number is five times the first number:  5X

C = third number is 100 more than the first number:  100X

The sum of all three is 490:  X + B + C = 490

----

X + B + C = 490

X + 5X + 100X = 490

106X = 490

X = 4.622

Check:

X = 4.622

B = 5X = 23.11

C = 100X = 462.2

Check:

Sum (4.622 + 23.11 + 462.2) = 490

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 9) ← 2 points on the line

m = \(\frac{9-3}{3-1}\) = \(\frac{6}{2}\) = 3

Answer:

Step-by-step explanation:If Jeannette paid the full amount for both children to go to school, what was her total expense for tuition and fees for 1 year? 108. Clyde and Mason each leave a rest area on the Florida Turnpike. Clyde travels north and Mason travels south. After 2 hr, Clyde has gone 138 mi and Mason, who ran into heavy traffic, traveled only 96 mi.

a) The probability that the same product is discounted exactly 10 days from now is 1/10. As the website randomly selects among 10 products to discount each day, the probability that the colour printer will be discounted exactly 10 days from now will be the same as the probability of any other product being discounted exactly 10 days from now, which is 1/10.

b) Let X be the number of days until this product is again discounted. X is a geometric random variable with parameter p = 1/10. Hence, E(X) = 1/p = 10 days.

c) The probability that it is discounted for the third time in 5 days from now can be calculated using the negative binomial distribution. Let Y be the number of days until the product is discounted for the third time, with Y = k on the kth day. Then we have P(Y = 5) = (3-1) C (5-1) * (1/10)^3 * (9/10)^4 = 0.00576 or 0.576%.d)

For the next five days, the probability that it is discounted in three days can be calculated using the binomial distribution with n = 5 and p = 1/10. Hence, P(X = 3) = (5 C 3) * (1/10)^3 * (9/10)^2 = 0.0081 or 0.81%.

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We have that, based on the probability of a website, randomly selecting between 10 products to discount each day, we are going to obtain the following:

a) The probability that the color printer will have an exact discount in 10 days is 1/10

b) The expected number of days until the product is discounted again is 10 days

c) The probability that the color printer will be discounted for the third time within 5 days is 1/1000.

d) The probability that the color printer will be discounted in three days is 81/1000

a) To find the probability that the color printer will be on sale exactly 10 days from now, we must assume that there are 10 products and only 1 is on sale each day. The probability of selecting the color printer is 1/10. Since the selection is random each day, the probability that it will be discounted again in exactly 10 days is also 1/10.

b) The expected number of days until the product is discounted again can be calculated using the geometric distribution. For a geometric distribution with probability p, the expected value is given by E(X) = 1/p. In this case, p = 1/10, so the expected number of days is E(X) = 1/(1/10) = 10 days.

c) To find the probability that the color printer will be discounted for the third time within 5 days, we must consider three independent discounts. The probability of selecting the color printer each day is 1/10. Since the selection is random and independent each day, we need to multiply the probabilities: (1/10) * (1/10) * (1/10) = 1/1000.

d) For the next five days, the probability that the color printer will be discounted in three days can be found by finding the probability that the third day is discounted and the first two days are not discounted. The probability of not being discounted is 9/10. Therefore, the probability that the color printer will be discounted on the third day after not discounting the first two days is: (9/10) * (9/10) * (1/10) = 81/1000.

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The equilibria are classified as unstable: X = -1/6 stable, X = 1/6. Lim xt for the given initial values is 0.533.

Given difference equation is 4x2 - X0 = 0.2,

10 = 2 + 3 Xt + 1 2 Хt.

We need to find the equilibria of the difference equation and classify them as stable or unstable.

To find equilibrium points, we set

4x2 - X0 = 0.2 and 10 = 2 + 3 Xt + 1 2 Х t to 0 and solve for X.

So,

4x2 - X0 = 0.2

=> x2 = X0/4 + 0.05/4

=> x = (X0/4 + 0.05/4)^(1/2)

The equilibrium points are (0,0), (X, 2/3 - X/2). To classify them as stable or unstable, we calculate the first derivative of f(X), which is,

f'(X) = 6X^2 - 1/2.

It gives us the critical points X = 1/6 and X = -1/6 as possible maxima and minima.

By the second derivative test, we can show that X = 1/6 is a local minimum and X = -1/6 is a local maximum.

Since the derivative of f(X) is positive before X = -1/6 and after X = 1/6 and is negative between them, we know that the equilibrium point X = -1/6 is unstable and X = 1/6 is stable.

Hence, the equilibria are classified as:

unstable: X = -1/6

Stable: X = 1/6

Therefore, the equilibria are classified as unstable: X = -1/6 stable, X = 1/6. Lim xt for the given initial values is 0.533.

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Answer:

A≈188.5

Step-by-step explanation:

A=2πrh+2πr^2=2·π·3·7+2·π·3^2≈188.49556

The name of each midpoint and the segment it bisects include the following:

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

In this scenario, the name of each midpoint and the segment it bisects include the following:

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Complete Question:

Name each midpoint and the segment it bisects.

The volume of a sphere is given by the following formula

Where r represents the radius of the sphere.

To find the volume of a sphere with a radius equals to 2, we just need to evaluate r = 2 on the given formula.

The volume of this sphere is 32ft³.

To find the area of the region bounded by the parabola y = x², the tangent line to this parabola at (1,1), and the x-axis,

we need to use definite integral application.The first step is to find the point of intersection of the tangent line to the curve y = x² at (1,1).The equation of the tangent line can be found by differentiating y = x², which gives us:dy/dx = 2xWe can then substitute x = 1 into the above equation to get the slope of the tangent line at x = 1:dy/dx = 2(1) = 2

Hence, the equation of the tangent line is:

y - 1 = 2(x - 1)

⇒ y = 2x - 1

Now, we can find the point of intersection of this tangent line with the parabola y = x² by setting the two equations equal to each other:

2x - 1 = x²

⇒ x² - 2x + 1 = (x - 1)²

⇒ (x - 1)² = 0⇒ x = 1

Hence, the tangent line intersects the parabola at (1,1).We can now find the area of the region bounded by the parabola, the tangent line, and the x-axis by taking the definite integral of the absolute value of

y = x² - (2x - 1) from x = 0 to x = 1,

since the region is above the x-axis: definite integral of

|y| dx from 0 to 1= ∫₀¹ |x² - (2x - 1)| dx

= ∫₀¹ |x² - 2x + 1| dx

= ∫₀¹ (x - 1)² dx

= [x³/3 - x² + x]

from 0 to 1= (1/3 - 1 + 1) - (0) = 1/3

Therefore, the area of the region is 1/3 square units.

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Answer:

slope = -1

Step-by-step explanation:

First, you need to know the slope formula: y2 - y1

                                                                       x2 - x1

Now recognize the first point (-2,3) as (x1,y1) and the second point (2,-1) as (x2,y2)

Now that you have done that, plug in the numbers into the slope equation.

Which should look like this:      -1 - 3

                                                   2 - -2

Now that your equation looks like this, recognize the denominator, we should know that a negative plus a negative equals a positive. So instead of subtracting the denominator of the equation, we are going to add the two numbers together, because x1 is negative. Now solve, you should get the answer -1.

                       -1 - 3                        -4    = -1

                       2 + 2                        4

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The ratio of y:x should be constant for any value of x and y.

\( \frac{y}{x} = constant\)

If go over every table, you'll find that this is true for the third one and that the ratio is r=50

The table showing the proportional relationship between x and y is the third one.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

Given are four tables, giving values of x and y, we need to identify the table giving the relation between x and y which is proportional.

Table 1)

x = 1, 2, 3, 6

y = 1.5, 3, 6, 9

y/x = 1.5, 1.5, 2, 1.5 [not proportional]

Table 2)

x = 2, 4, 5, 6

y = 6, 12, 18, 21

y/x = 3, 3, 3.6, 3.5 [not proportional]

Table 3)

x = 1, 3, 4, 5

y = 50, 150, 200, 250

y/x = 50, 50, 50, 50 [proportional]

Hence, the table showing the proportional relationship between x and y is the third one.

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