If the trapezoid below is reflected across the x-axis, what are the coordinates of B? у В. С 8. 6 A А D 4 2. -6 -2

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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Kerys should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

here, we have,

The binomial theorem states that the expansion of the binomial (x+y)^n is given by the formula:

(x+y)n = ∑nk=0nCk xn-kyk = ∑nk=0nCk xkyn-k

The variable n represents the power to which the binomial is raised, in this case n = 4.

The variable k is the exponent of the second term in the binomial (b), in this case y.

So, with k = 0, the term will be aⁿ = (2x)⁴, with k = 1, the term will be

a^(n-1) *b = (2x)³y , and so on.

Therefore, he should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

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Answer:

  D.  330.6

Step-by-step explanation:

To evaluate the function for a specific value of x, put that value where x is in the function definition, and do the arithmetic.

__

T(x) = x +0.14x . . . . . given function definition

T(290) = 290 +0.14×290 = 290 +40.6 . . . . substitute 290 for x

T(290) = 330.6

The value of T(290) will be 330.6.The relation between them is shown as T(x)  is dependent and x is the independent variable. Option D s correct.

A connection between independent variables and the dependent variable is defined by the function.

Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.

Given relation;

T(x) = x +0.14x

Substitute the value of x we get;

T(290) = 290 +0.14×290

T(290) = 330.6

Hence, option D s correct.

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Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\(\lambda = \frac{29742}{365} = 81.485\)

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

\(P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0\)

0% probability that on a given day, 50 radioactive atoms decayed.

Answer:   w=A + 5

Step-by-step explanation:

Thats my answere

Answer:

w=A+5

Step-by-step explanation:

We are starting with A=w-5 but to make things a little easier, we will flip the equation so it will look like w-5=A, now let's solve it

Add 5 to both sides,

w-5+5=A+5  once we simplify this we get our final answer,

w=A+5

Answer:

4x+3(3x-4)=1

4x+9x-12=1

13x=13

x=1

Answer:

Step-by-step explanation:

Let's use the variable "J" to represent Jolene's initial amount of money.

According to the problem, Megan had $5496 more than Jolene at first, so Megan's initial amount of money can be represented as J + $5496.

After their mother gave Jolene another $264, Jolene's new amount of money is J + $264.

After their mother gave Megan $856, Megan's new amount of money is J + $5496 + $856, which simplifies to J + $6352.

The problem also tells us that Megan has 3 times as much money as Jolene in the end, so we can write the equation:

J + $6352 = 3(J + $264)

Simplifying this equation, we get:

J + $6352 = 3J + $792

Subtracting J from both sides, we get:

$6352 = 2J + $792

Subtracting $792 from both sides, we get:

$5560 = 2J

Dividing both sides by 2, we get:

J = $2780

So Jolene had $2780 at first.

To find out how much Megan had at first, we can substitute J = $2780 into the equation we used earlier:

Megan's initial amount of money = J + $5496

Megan's initial amount of money = $2780 + $5496

Megan's initial amount of money = $8276

Therefore, Megan had $8276 at first.

Answer:

x = 2.16228,  -4.16228

Step-by-step explanation:

(2x² - 2x) - 5 = (x - 2)²

2x² - 2x - 5 = x² - 4x + 4

x² + 2x - 9 = 0

Use quadradic equation to find the roots of x:  a=1 , b=2, c=-9

x = 1 ± √10

x = 2.16228,  -4.16228

9514 1404 393

Answer:

  5, 10, 20

Step-by-step explanation:

Suppose the three numbers are x, 2x, and 4x. Then they have the required ratios. After the transformation, we have ...

  ((x+3) +(4x -8))/2 = 2x . . . . . 2nd term is average of 1st and 3rd

  5x -5 = 4x   ⇒   x = 5

The original numbers are 5, 10, 20.

_____

After the adjustment, the arithmetic sequence is 8, 10, 12.

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

Answer:

I believe the answer is c) 3

Step-by-step explanation:

f(x) = (x + 3)(x - 1)(2x + 2)

x(x) + x(-1) + 3(x) + 3(-1)

f(x) = (x^2 - x + 3x - 3)(2x + 2)

f(x) = (x^2 + 2x - 3)(2x + 2)

2x(x^2) + 2x(2x) + 2x(-3) + 2(x^2) + 2(2x) + 2(-3)

f(x) = (2x^3 + 4x^2 - 6x + 2x^2 - 6)

f(x) = (2x^3 + 6x^2 - 6x - 6)

The derivative of the given function is 4x³ / (x²+1) ²

What is derivative mean?

d(u/v) = [ u(dv/dx) + v(du/dx) ] / v²

Given:

f(x) = x²/x²+1

Applying the formulae:

=  x²[ d(x²+1)/dx] + (x²+1) [ d(x²)/dx ] / (x²+1) ²

= x²(2x+0) + (x²+1)2x / (x²+1) ²

= 2x³ + 2x³ / (x²+1) ²

= 4x³ / (x²+1)²

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

\(y=a(1-r)^t\)

Where, a is the initial value r is the rate of interest and t is time period.

Putting \(a=800,r=0.082,t=15\) in the above formula, we get

\(y=800(1-0.082)^{15}\)

\(y=800(0.918)^{15}\)

\(y=221.68188\)

\(y\approx 221.7\)

Therefore, the mass of the remaining element is 221.7 grams.

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that the expression is,

x + 20 ≤ -10

Rearrange the expression as

x≤ -10-20

x≤ -30

Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

People with dependents

Step-by-step explanation:

AP3X

Answer: 10.5 small boxes

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

set up a proportion

3/20 = x/50

to get from 20 to 50 you have to multiply by 2.5

so multiply the top number (3) by 2.5 to find x

this comes out to 7.5 which you then round up to 8

Answer:

D

Step-by-step explanation:

Answer: The result of the exercise is BRL 15.00

Step by step explanation:

To find the total value, simply multiply the number of sheets and the price per copy.

\(\sf{ \bold{30 * 0.50} ={\boxed{\bold{15 \: \: real}}} }\)

Rpt: The result of the exercise is BRL 15.00

Answer:

sum of all side

8+22+6+8+8+17+5+5+13+4

100 is the area of this figure

Step-by-step explanation:

please mark me brainleat

The area of the pool given by the expression, ∆ × 102 + ∆ × 101 + 6, gives;

A) The whole number x = 33

B) The perfect square number closest to 33 is 36

The side length of a square pool with an area of 36 square units is 6 units

C) The side length of a square pool with the area chosen in part A is 33•√33

An expression is a mathematical statement which consists of 2 or more numbers and, or variables joined together by mathematical operators.

A) The given equations for the pool is presented as follows;

Area of the pool = ∆ × 102 + ∆ × 101 + 6

Area of the pool = x³

x = A whole number

Expressing the word problem mathematically gives;

∆ × 102 + ∆ × 101 + 6 = x³

203•∆ + 6 = x³

Which gives;

\( \displaystyle{ \triangle = \frac{ {x}^{3} - 6}{203} }\)

Using a graphing calculator, when x = 33, we get;

\( \displaystyle{ \triangle = \frac{ {33}^{3} - 6}{203} = 177 }\)

The value of the number is x = 33 and ∆ = 177

B) The perfect square that is closest to x = 33 is 36

The side length of a square pool with an area of 36 is √(36) = 6

C).The area of the pool chosen is 33³ = 35937

The side length of a square pool with an area of 35937 is √(35937) = 33•√(33)

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baka Ara Ara oniichan ara ara senpai yamete kudasai nyaa ichi ni san nyaa arigato^^

Answer:

5

Step-by-step explanation:

5 is the correct answer

Answer:

the equation of the regression line will be 1

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

x=9, y=-9

Step-by-step explanation:

pic attached with step by steps