Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector is used to find rock samples that may contain the valuable mineral, but it is not perfect: When applied to a rock sample, there is a 2% chance of a false negative; that is, of a negative reading given raritanium is actually present. Moreover there is a 0.5% chance of a false positive; that is, of a positive reading when in fact no raritanium is there. Assume that 13% of all rock samples contain raritanium. The detector is applied to a sample and returns a positive reading.

Required:
What is the probability the rock sample actually contains raritanium?

In order to form an identity, we will add a value or expression that will make both sides equal. Linear equations are equations that has a leading degree of 1.

In order to form an identity, we will add a value or expression that will make both sides equal. Solving the provided linear equations, we have:

-5x+9=9-5x

16+14n=14n+16

-k-18=-5-k-13S

Linear equations are equations that have a leading degree of 1. Given the equations below;

–5x + 9 = 9

In order to form an identity, we will add a value or expression that will make both sides equal. For the expression,

–5x + 9 = 9

we will subtract 5x from the RHS (Right-hand side) to obtain:

-5x + 9 = 9 - 5x

For the expressions below, we will add 16 to the left-hand side to have:

16 + 14n = 14n + 16

For the expression,

-18 = -5 - k - 13

We will subtract k from the left-hand side to obtain;

-k-18 = -5-k-13

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Answer:1) 2n - 1

              2) 99

see in the picture, u can see that the number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

......

=>  The above sequence has: u1 = 1

                                                 d = 2

=> u(n) = 1 + 2(n - 1) = 2n - 1

=> the number of shaded squares in the n figure is 2n - 1

b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99

Step-by-step explanation:

a) The number of shaded squares in the n figure is 2n - 1.

b) The number of shaded squares in the 50th figure is 99.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

The above sequence has: u1 = 1, d = 2

u(n) = 1 + 2(n - 1) = 2n - 1

The number of shaded squares in the n figure is 2n - 1.

b) The number of shaded squares in the 50th figure

2.50 - 1 = 99

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The width of the rectangle is calculated as: 11 inches

The formula for area of a rectangle is:

A = l*w.  

Since the area is 33 in², then;

33 = x(x + 8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  

x² + 8x - 33 = 0.

To complete the square you need to add 33 to both sides.  

Now you have x² + 8x = 33  

Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 4², so 16.  

Now you have x² + 8x + 16 = 49

(x + 4)² = 49

Take  the square root of both sides and you have;

x + 4 = 7.  

Therefore, x = 3 (the short side) and 11 is the long side.

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9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The products of segment lengths for the two chords are the same.

  x(15) = (9)(5)

  x = 9·5/15 . . . . . divide by 15

  x = 3 . . . . . . simplify

Answer:

Increase, Decrease

Step-by-step explanation:

Let K be a field in which (to demonstrate K[n] of all bolynomial coefficients in K below the typical addition and multiplication operations forms a ring]

Since the addition of two polynomials is once more, (i) (To show = (K(n), +) is abelian grouk) is closed under addition (of binary operation).

polynomial a Associativity under addition, assuming that Pa 2, 2 exists in k[u].

K[n] is closed when added, and qinis both (n+bente -+ n, mand p are all different) or nemcp: K + + + (An+ba) +- + = (90+bot (o) +(9, +b, +G) K € - - + p(x+2(m) + 2(x) = ((Qutbe) +(,+bi) K + + + --+ Cpn3 = (bini)+ (qini-eron) K[n] is an addition associativite.

If H 2(4)=0 is additive identity, then clearly pinto-b =10 belynomial is additive identity of KO OR let pin's Po+?не-томни екси.

The inverse element of K[n] is additive inverse- let b(m + 2(120)

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The total area of the six-sided composite figure is 45m². (option d)

To find the area of the trapezoid, we use the formula:

Area = (1/2) x height x (base 1 + base 2)

where base 1 and base 2 are the two parallel sides of the trapezoid. In this case, base 1 is 9 meters, and base 2 can be found by subtracting the length of the small portion from the total length of the left vertical line:

base 2 = 4 meters (total length of left vertical line) - 3 meters (small portion) = 1 meter

Therefore, the area of the trapezoid is:

Area = (1/2) x 3 meters x (9 meters + 1 meter) = 15 meters squared

To find the area of the triangle, we use the formula:

Area = (1/2) x base x height

where the base is 3 meters, and the height is also 3 meters. Therefore, the area of the triangle is:

Area = (1/2) x 3 meters x 3 meters = 4.5 meters squared

Finally, we add the area of the trapezoid and the triangle to find the total area of the composite figure:

Total area = area of trapezoid + area of triangle = 25 meters squared + 20 meters squared = 45 meters squared

Hence the correct option is (d).

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Answer:

The cost would be D. 16.45

To solve the division;

We shall use the long division method as follows;

Observe that the number 375 can be divided by 14 26 times. Multiply this by 14 (that is 14 x 26) and you'll have 364. Subtract 364 from 375 and you'll have a remainder of 11. This is smaller than 14 and hence cannot divide any further. You can now bring this down as the remainder.

ANSWER:

For given trapezoid, the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

A trapezoid is a quadrilateral with one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The legs may be of equal length, or they may be different lengths.

Since trapezoid ABCD has two parallel sides, we know that angle A + angle D = 180 degrees. Similarly, angle B + angle C = 180 degrees.

Therefore, we can write:

angle A + angle B + angle C + angle D = 360 degrees

Substituting angle A = angle B and angle C = angle D, we get:

2(angle A) + 2(angle C) = 360 degrees

Simplifying:

2(angle A) + 2(50)= 180 degrees

2(angle A) = 180 degree-100 degree

2(angle A) = 80 degree

angle A= 80 degree/2

angle A = 40 degree

Since we know that angle A = angle B

angle B= 40 degree

Therefore,

angle A = angle B = 40 degrees

angle D = angle C = 50 degrees

So the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

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-8/12

add together but keep the negative

Answer:

A

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

Answer:

Is there diagram for this?

Answer:

D)€÷√€€$&7$&7$&dy+&"&_

Answer:

14

Step-by-step explanation:

cuz that's the answer and I'm the smartest person on urt

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Answer: 36.5

Step-by-step explanation:

cos 51 = BC/AB

cos 51 = BC/58

BC = 58co851

BC = 36.5

Answer:

answer

Step-by-step explanation:

d becuase i it is

d. T-chart using random value of x and y.

An exponential function is where the exponent or the power of a given number(base) is the independent variable.

According to the given question we have to graph an exponential function.

Assuming the exponential function to be eˣ.

To plot this exponential function eˣ we take some negative real nos. and some positive real nos. we can also take fractional values also we can take any rational no. and even imaginary nos.

At x = 0 the function eˣ will be 1. It is a good place to stat sketching the graph.

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Answer:

\(thank \: you\)

The first four non-zero terms of the Taylor series for the given function are, 1, -x, -1/2!x², -3/3!x³.

A function's Taylor series is an infinite sum of terms with each subsequent term having a bigger exponent, such as x, x2, x3, etc., and being stated in terms of the function's derivatives at any given point. In order to represent the Taylor series mathematically, the Taylor series formula is useful.

Using the derivatives of the function, the Taylor series formula aids in expanding a function around a value of the variable. s and be as ly,,,, texturs in a l

x a = f(x) = f(a) + f'(a)

The function is given as,

f(x) = \(\sqrt{1-2x}\)

The objective is to find Taylor series of the given f(x) centered at a = 0.

From the definition of Taylor series centered at a = 0 we have,

\(f(x) = \sum_{n=0} \frac{f^n(0)}{n!} (x)^n\)

Here, Consider f(x) = \(\sqrt{1-2x}\), Find the derivative of function as:

f(x) = \(\sqrt{1-2x}\)

f(0) = 1

f'(x) = \(-\frac{1}{\sqrt{1-2x} }\)

f'(0) = -1

f³(x) = \(\frac{-3}{(1-2x)^{5/2}}\)

f³(0) = -3

Substitute these values to get,

\(f(x) = 1-\frac{1}{1!} x-\frac{1}{2!} x^2-\frac{3}{3!} x^3-...\)

The first four non-zero terms of the Taylor series for the given function are, 1, -x, -1/2!x², -3/3!x³.

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Answer:

Apex is a game and 10 points in ranked is 10 kills so you just have to, have good amour and weapons

Step-by-step explanation: Find a good team and pick a legend that supports your team

There are two points, 4 units from the origin and 2 units from the line x = -1.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given point is at a distance of 4 units from origin,

that is √x² + y² = 4

x² + y²= 16 is the equation of the locus of the point.

The given point is also 2 units from the line x =-1

that is √(x+1)² + y² = 2

(x+1)² + y²= 4 is the equation of the locus of the point.

Subtracting the second given equation from the first one,

we get x² - (x+1)² = 12

simplifying, x = 11/2

So the common coordinate point for these 2 points which is 11/2.

Substituting this value to the first equation,

(11/2)²+ y² = 16

Simplifying, y = ±(i√57)/2.

There are 2 points whose coordinates are;

( i√57/2 , 11/2 ) and ( -i√57/2 , 11/2 ).

Therefore there are two points, 4 units from the origin and 2 units from the line x = -1.

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Answer

The maximum miles that Chri

Explanation

The uber rate is given as $1.5 per mile and a $3 fuel charge.

Chris and Sue have $20 with the for the Uber ride.

Let the maximum amount of miles they would be able to travel using the Uber ride be x.

If they go x miles on the Uber ride, the total charge will be given as

Total Charge = (3 + 1.5x)

Total amount they have is $20

3 + 1.5x = 20

Subtract 3 from both sides

3 + 1.5x - 3 = 20 - 3

1.5x = 17

Divide both sides by 1.5

(1.5x/1.5) = (17/1.5)

x = 11.33 miles

Hope this Helps!!!

Answer:

-9x + -3

Step-by-step explanation:

1. Primeiro, vamos penteinar SO prazoos que possuem um mesmamã variável, ou seja, -5x e -4x:

-5x - 4x

2.  Agora, vamos penteinar SO prazoos que possuem o mesmo coeficiente, ou seja, 1 e -4:

-5x - 4x + 1 -

4 3.  Por fim, vamos penteinar SO prazoos que possuem o mesmo coeficiente, ou seja, -4 e 1:

-5x - 4x + -4 + 1

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.