$4.35 book; 4.5% sales tax Please answer fast

Answer:

(x-6) (x+5)

Step-by-step explanation:

x^2 - x - 30

What two terms multiply to -30 and add to -1

-6 *5 = -30

-6+5 = -1

(x-6) (x+5)

The area of the given circle is  1.76625 square feet.

Remember that the area of a circle of radius R is given by the formula:

A = pi*R²

Where pi = 3.14

Here we know the diameter (2 times the radius) of the circle, which is 1.5ft, then the radius is:

R = 1.5ft/2 = 0.75ft

Then the area of the circle is:

A = 3.14*(0.75ft)²

A = 1.76625 ft²

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Answer:

1st and 2nd options

Step-by-step explanation:

Using the method of completing the square to obtain standard form

(13)

Rearrange the given equation so x and y terms are together, that is

x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )

x² + 24x + y² + 30y = - 353

To complete the square

add ( half the coefficients of the x/ y term)² to both sides

x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225

(x + 12)² + (y + 15)² = 16

(x + 12)² + (y + 15)² = 4² ← in standard form

with centre = (- 12, - 15 ) and radius = 4

---------------------------------------------------------------------

(14)

As in number 13

x² - 22x + y² + 16y = - 181

Complete the square

x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64

(x - 11)² + (y + 8)² = 4

(x - 11)² + (y + 8)² = 2² ← in standard form

with centre = (11, - 8 ) and radius = 2

Answer:

\(f(x)=-x\)

Step-by-step explanation:

\(f(x-2)=2-x\)

To change \(f(x - 2)\) into \(f(x)\), substitute \(x=x+2\):

\(\implies f((x+2)-2)=f(x+2-2)=f(x)\)

Therefore, substitute \(x=x+2\) into both sides of \(f(x-2)=2-x\):

\(\implies f((x+2)-2)=2-(x+2)\)

\(\implies f(x)=-x\)

Let's spot out.

Put x+2 in place of x

The percent change is given by:

Where:

New value = 36in

Old value = 12 in

Therefore:

Answer:

200%

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The perimeter of the triangle is 4.5inches.

Equilateral Triangle : can be defined as a triangle having all three sides equal.

Perimeter of triangle is defined as the sum of the lengths of the three side.

Perimeter of triangle is denoted by 3x(side).

Given that the side of the triangle is 1.5 inches

Perimeter = 3x(1.5)

Perimeter=4.5 inches

Therefore , The Perimeter of the triangle is 4.5 inches .

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g(0) = 3

g(0): The value of g(x) when x = 0

This means we will substitute x in g(x) with 0

Answer:

Dana crossed the finish line before Mari.

Step-by-step explanation:

\(2.08<2.12<2.21<2.25<2.50\)

Dana<Mari<Clair<Jason<Alex

The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

P(x) = (n C x) * p^x * (1 - p)^(n - x)

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

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Answer:

I will suppose that the actual question is:

Iodine-131 has a half-life of 8 days. How much would be left of an original g sample after x days?

Ok, a half-life means that after that time, the mass of the original sample is reduced to half.

So if we start it a quantity g of iodine-131, after 8 days, we will have g/2.

Also, remember that the decay is written as an exponential decay, then we will have:

A(x) = g*(r)^x

where:

A is the amount of the sample after x days, g is the initial amount of the material (such that A(0) = g) and r is the rate of decay.

We know that:

A(8) = g/2 = g*(r)^8

Now we can solve this for r:

g/2 = g*(r)^8

1/2 = r^8

(1/2)^(1/8) = r = 0.917

Then the amount of material after x days is given by:

A(x) = g*(0.917)^x

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

\((2)^2=(x+1)^2+(x-1)^2\\\)

By solving this equation we can get:

\(x=1 \\x=-1 (Impossible)\)

∴

The value of the x will be equal to 1.

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

Given that the hypotenuse is of length 2 and legs of length x+1 and x-1. The value of x will be calculated as:-

H² = P² + B²

2² = ( x + 1 )² + ( x - 1 )²

4 = ( x² + 2x + 1 ) + ( x² - 2x + 1 )

4 = 2x² + 0 + 2

4 - 2 = 2x²

x = √1 = ±1

x = 1  and x = -1 ignore negative value.

Therefore, the value of the x will be equal to 1.

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The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.

To solve for the coefficients in the function g(x), we need to consider the conditions given:

g(x) = { 1, -1, -T ≤ x ≤ 0

{ 1, f(x + 2π) = g(x)

We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.

For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.

For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).

The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).

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Answer:

The main aim of public participation is to encourage the public to have meaningful input into the decision-making process. Public participation thus provides the opportunity for communication between agencies making decisions and the public. Public participation can be time-consuming and sometimes expensive.

Step-by-step explanation:

Londyn can tell that 18(x + 3) = 3(6x + 18) by factorization

factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and (x – 2)(x + 2) is a factorization of the polynomial x2 – 4.

6(x + 3) = 6x + 18 which is true as a result of multiplying each term in the bracket by 6 otherwise say expansion.

But in 18(x + 3) + 32 = 3(6x + 18) +32, can be done by expansion and then  factoring out 3. She can tell that both are equal by expanding the two expression at the left and right which will give the same result.

In conclusion expanding both terms of the equation will yield the same result.

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Answer: \(y^2-100.\)

Step-by-step explanation:

if we have a square with sides 'y' units,

then, its breadth = length = y

If we add 10 to one side it will become (y+10)  (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).

Area of rectangle = breadth x length

So, area of rectangle \(= (y+10)(y-10)\)

\(= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2]\)

Hence, the new area as a polynomial = \(y^2-100.\)

Answer:

Ross isn't right.

Step-by-step explanation:

Skateboard $125.95 at 40% off is $75.57

How I got the number:

125.95/100 = 1.2595

1.2595 x 40 = 50.38

125.95 - 50.38 = 75.57

Skateboard $169.95 at 60% off is $67.98

169.95/100 = 1.6995

1.6995 x 60 = 101.97

169.95 - 101.97 = 67.98

Therefore the skateboard that is 60% off is cheaper.

Answer:

Tn= -9+(n-1)×3

Step-by-step explanation:

d= t2-t1 =t3-t2....

=-6-(-9)=3

We realize that this is an arithmetic sequence

Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3

Tn=-9+(n-1)×3

Answer:An=-9+3(n-1)

Step-by-step explanation:

First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term.  Now, identify the first term.  This is the first number in your list.  Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1)  Note: Leave the variable n as part of the equation.

Answer:

2560

Step-by-step explanation:

10%/100% = 256/x

100/10=10

256x10 = 2560

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.

From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.

The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.

According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.

Comments are written in italic to explain the code

Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List

Line 2: {//start procedure

Line 3: count<-2//set count to be 2

Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last

Line 5: {//start repeat

Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater

Line 7: {//start if

Line 8: RETURN(true)//return true as next is greater than

Line 9: }//end if

Line 10: count<- count +1//increment to next element

Line 11: }//end repeat

Line 12: RETURN (false)//return false

Line 13: }//end procedure

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Complete question is:

A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

258

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

√{258×258}=√258²=258 is your answer

In the coordinate plane, if a line is drawn to connect two points (4, 2), and (8, 6), then the coordinates of the midpoint of the line joining these two points are ({4 + 8}/2, {2 + 6}/2) = (12/2, 8/2) = (6, 4).

Midpoint refers to a point that is in the middle of the line joining two points. The two reference points are the endpoints of a line, and the midpoint is lying in between the two points. The midpoint divides the line joining these two points into two equal halves. Further, if a line is drawn to bisect the line joining these two points, the line passes through the midpoint.

The midpoint formula is used to find the midpoint between two points whose coordinates are known to us. The midpoint formula is also used to find the coordinates of the endpoint if we know the coordinates of the other endpoint and the midpoint. In the coordinate plane, if a line is drawn to connect two points (4, 2), and (8, 6), then the coordinates of the midpoint of the line joining these two points are ({4 + 8}/2, {2 + 6}/2) = (12/2, 8/2) = (6, 4). Let us learn more about the formula of the midpoint, and different methods to find the midpoint of a line.

(3, 8 )

given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(x+x /2  ,y+y/2  )

here (x₁, y₁ ) = P (1, 6 ) and (x₂, y₂ ) = Q (5, 10 ) , then

midpoint = (1+5/2 ,++10/2  ) = ( 6/2 , 16/2 ) = (3, 8 )

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Answer:

9

Step-by-step explanation:

No.of words in

- 8 minutes = 72

- 1 minute = 72/8

                = 9

Answer:

9 words per every minute

Step-by-step explanation:

Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.

The vertical motion model is h(t) = -16t² + 54t + 3The equation above is in the standard form of a quadratic equation which is given as y = ax² + bx + c.The maximum point of a parabola (quadratic equation) is always at the vertex of the parabola. The formula for finding the x-coordinate of the vertex is given by -b/2a.

Using the above formula to find the time taken to reach the maximum height, we can find the time by finding the x-coordinate of the vertex of the quadratic equation, t = -b/2a.Substitute a = -16, b = 54 into the formula:$$\begin{aligned} t &= \frac{-b}{2a}\\ &= \frac{-54}{2(-16)}\\ &= 1.69 \end{aligned}$$Therefore, the time taken to reach the maximum height is 1.69 seconds (rounded to the nearest tenth).To find the maximum height reached by the object, we need to substitute t = 1.69 into the equation and solve for h(t):$$\begin{aligned} h(t) &= -16t^2 + 54t + 3\\ &= -16(1.69)^2 + 54(1.69) + 3\\ &= 49.13 \end{aligned}$$

Therefore, the maximum height reached by the object is 49.1 feet (rounded to the nearest tenth).Maximum height reached by an object = 49.1 feetTime taken to reach the maximum height = 1.69 seconds

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