Find the indicated term of the geometric sequence.
10th term of 0.6, 0.06, 0.006,...

The correct equation for this given situation is,

⇒ d = 9.5t + 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

John is driving around town. When he reaches the gas station, he notes that he has traveled 11 miles.

And, He reaches home 2 hours later and notes that he has traveled 30 miles.

Now, Let d represents the distance and t represents the time, in hours

So we get;

Let the equation which model this situation,

⇒ d = a t + b

Where a and b are constant.

Let the gas station is the starting point.

So, at gas station t = 0 , d = 11

Hence,

⇒ 11 = 0 × a + b

⇒ b = 11

When he reaches home 2 hours later notes that he has traveled 30 miles.

And, with substituting with b = 20

⇒ 30 = 2 × a + 11

⇒2a = 30 - 11 = 19

⇒ a = 19/2 = 9.5

So, We get the equation,

⇒ d = 9.5t + 11

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Marhall made 9 ales this week, earning a base of $186 plus $15 per ale. Vickie earned a base of $48 plus $18 per ale. Since both of them earned the same amount, we can set up the equations

Marhall made 9 ales this week.

Step by explanation

We can use an equation to solve this problem.

Let x = number of ales Marhall made

Marhall's Earnings = 186 + (15 x)

Vickie's Earnings = 48 + (18 x)

Since both of them earned the same amount, we can set up the equations and solve for x:

186 + (15 x) = 48 + (18 x)

15x = 138

x = 9

Therefore, Marhall made 9 ales this week.

Marhall made 9 ales this week, earning a base of $186 plus $15 per ale. Vickie earned a base of $48 plus $18 per ale.

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The location of the waterfall on the graph will be (3,1). Instead of going down down,  Rodrigo goes 4 units upward direction.

What are the coordinates of a point?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).

Given that the location of the entrance is at (6,5).

To reach the waterfall, you need to go 3 km to the left and 4 km down from the park entrance.

The x-coordinate decreases to the left side of a point and increases to the right side of a point.

The y-coordinate decreases to a downward point and increases upward a point.

The x-coordinate of the waterfall is 6 - 3 =3

The y-coordinate of the waterfall is 5 - 4 = 1.

The coordinate that represents the location of a point is (3,1).

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The expressions that have a product of 10 are:

Option B: 5/6 x 14 = (5/6) * 14 = (514)/6 = 70/6 = 10

Option C: 3/5 x 20 = (3/5) * 20 = (320)/5 = 60/5 = 12

Option A: 5/14 x 14 = (5/14) * 14 = (514)/14 = 70/14 = 5

Option D: 2/3 x 15 = (2/3) * 15 = (215)/3 = 30/3 = 10

So options B and D have a product of 10.

The number 363 does not belong to the set.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

The given numbers are 64, 289, 81, 363 and 121.

The numbers 64, 289, 81 and 121 is a perfect square of integers.

64 = 8²

289 = 17²

81 = 9²

121 = 11²

But 363 is not a perfect square of any integer.

Hence the number which is odd in the list is 363.

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The perimeter of the square is calculated to be (8 - x) cm

The perimeter of a square is calculated using the formula

= 4 * length

From the problem we have that the length of the square

= 1/4 length of rectangle

perimeter of rectangle

8 = 2(Length + width)

dividing through by 2

4 = L + w

substituting w = x

8 = L + x

L = 8 - x

length of square = 1/4 * 8- x = (8 - x)/4

perimeter of a square = 4 *  (8 - x)/4

perimeter of a square = 8 - x

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Examples of inequalities are mathematical statements that compare two expressions and express the relationship between them using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to). Here are a few examples:  x + 2 > 5, |x - 2| < 4, sin(x) > 1/2, log2(x) > 3.

Linear Inequality: x + 2 > 5, this inequality states that x is greater than 3.

Quadratic Inequality: x^2 - 3x + 2 < 0, this inequality states that the value of the quadratic expression is less than zero.

Absolute value inequality: |x - 2| < 4, this inequality states that the absolute value of the difference between x and 2 is less than 4.

Rational Inequality: (x + 2)/(x - 3) < 0, this inequality states that the value of the rational function is less than zero.

Logarithmic Inequality: log2(x) > 3, this inequality states that the logarithm base 2 of x is greater than 3.

Trigonometric Inequality: sin(x) > 1/2, this inequality states that the sine of x is greater than 1/2.

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a. We cannot calculate the probability, because we do not know the shape of the distribution.

b. The mean and standard deviation of the sampling distribution of x are 12 and 0.0566.

c. The shape of the distribution described in part b is symmetrical.

d. The probability that a random sample of 50 cans produces a sample mean amount of 11.9 ounces or less is 0.0386.

We do not know the shape of the distribution, so we cannot calculate the probability that a single randomly selected can contains 11.9 ounces or less. The question given have not told us that the distribution of individual cans was normal, and we cannot assume it is so; therefore, we cannot calculate its probability.

As given information the mean μx = 12.

And standard deviation σx = σ / √n = 0.4 / √50 = 0.566.

The shape of the distribution described in part b is symmetrical, because the two sides of the distribution are a mirror image of each other. Therefore, it is normal distribution.

Since the sample is large n = 50 and 50 > 30, so by CLT (Central Limit Theorem), the distribution of sample means is approximately normal N(12, 0.0566). So, P(x ≤ 11.9) = normalcdf (0, 11.9, 12, 0.0566) = 0.0386.

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B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus. Options B and E are correct options

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Total students = 50
Number of students in bus = 38
Number of students in car = 3
Number of students in Walk = 9

Percentage student go to school by bus = 36 / 50 × 100% = 76%

Similarly,
Percentage students go to school by car = 6%
Percentage of students who go to school by walk = 18%

From the above calculation, the Correct options,
B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus.

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.

Answer: 57

Step-by-step explanation:

1. Multiply 95 and 60

2. You get 5700, then you divide by 100

3. 5700/100 = 57

The z score when x=72 , μ=63 , 0=3 is z=3

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

According to the equation

z=x-u/sigma

we get z=3

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The solution set is (A) TV/RS = TQ/ RQ.

What is the similarity of the triangle?

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

We have given,

Triangle QRS and triangle QTV are similar,

ΔQRS ≈ ΔQTV

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

so, TV/RS = TQ/ RQ

Therefore, The solution set is (A) TV/RS = TQ/ RQ.

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Negative of an image can be obtained by subtracting each pixel values from 1.

Pixel value is the numerical representation of a color in an image. It is the amount of brightness or darkness of a pixel in an image, usually ranging from 0 (black) to 255 (white). Pixel values are used to determine how an image should be displayed on a monitor or printed on a page.It is usually measure of brightness of pixel with the higher number indicating brighter pixel and lower number indicating darker pixel.

This can be done by subtracting the pixel values r and s from 1, so the new value of each pixel would be 1-r and 1-s. This process of subtracting each pixel value from 1 is known as “inverting”.

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This is equal to 0.04 plus 1.96 into root over 0.04 into 0.96 divided by 400 point. This is equal to 0.059, which is equal to 5.9 percent. Therefore, double 0 to 5.9 percent represent babies born with defect.

According to one research, 28 out of every 400 kids born in the globe suffer some form of serious birth problem. To execute a simulation based on this data, the easiest approach to assign random numbers is to use 00-06 (7%) to identify the newborns with birth abnormalities.

It is to be noted that:

The sum total of births is: 400

The sum of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

The implication here is that that 07-99 (93%) will represent the babies without birth defects.

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On adding the integers we get:

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

For, (-78) + (98)

Step 1: Locate the first number, which is -78.

Step 2: Locate the second number, which is 98.

Step 3: Add the two numbers together by starting with the first number and counting up or down according to the sign of the second number. In this case, 98 is positive, so we count up 98 from -78.

Step 4: The answer is 20

Similarly, solving for the rest of the sub-parts we get:

2. 45+23=68

3. 67+56=123

4. 98 + (-73)=25

5. -971+237= -734

Therefore, On adding the integers we get:

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Inequality is a situation in which people do not have the same rights, resources, or opportunities. It can be seen in many aspects of society, including income, education, health care, and access to resources.

Inequality affects people in many different ways. It can limit access to education and employment opportunities, as well as health care, good housing, and basic services.

It can also lead to disparities in income and wealth, which can further limit opportunities for those in disadvantaged social classes. Inequality can have a negative impact on individuals, as it can limit their ability to access resources needed for a better life.

It can also lead to social unrest, as people may feel that they are not being treated fairly. Inequality can also lead to a lack of trust in government and institutions, which can further hinder progress and development. In order to reduce inequality, governments, businesses, and individuals must work together to create a more equitable society.

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The value of exponential 4 is 4^4, or 256. it means that 4 should be multiplied by itself 4 times.

In mathematics, an exponential is a number that is multiplied by itself a certain number of times. For example, when 4 is used as an exponential, it means that 4 should be multiplied by itself 4 times. This is written as 4^4, or 4 to the fourth power. This means that 4 is multiplied by itself 4 times, resulting in the value of 256.

Exponentials can be used to calculate the power of a number. For example, in the case of 4^4, 4 is the base number and 4 is the exponent. An exponent is the number of times a base number is multiplied by itself. In this case, the base number (4) is being multiplied by itself 4 times, resulting in a value of 256.

In addition, exponentials can be used to solve equations. For example, if we need to solve for x in the equation 4^x = 256, we can use the exponential 4 to determine the value of x. In this case, x = 4 because 4^4 = 256.

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Answer:3520.000

Step-by-step explanation:

ft/min =mph * 88.00000

ft/min =40 * 88.00000

ft/min =3520.000

The total cost of a pair of sandals is given by the equation A = $ 18.39

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of pair of sandals be represented as A

Now , the equation will be

The total amount spent by Bonnie = $ 77.77

The cost of one shirt = $ 11.49

So , the cost of 2 shirts = 2 x 11.49 = $ 22.98

And , the cost of 1 pair = $ 32

The total tax on the purchase = $ 4.40

So , the cost of pair of sandals A = total amount spent by Bonnie - cost of 2 shirts - cost of 1 pair - total tax on the purchase

Substituting the values in the equation , we get

The cost of pair of sandals A = 77.77 - 22.98 - 32 - 4.40

On simplifying the equation , we get

The cost of pair of sandals A = $ 18.39

Hence , the total cost of sandals is $ 18.39

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The solution of the equations: 2x+3y=3, 3x+2y=7​ is x =0  and y =1.

Equation:

An equation is a mathematical formula containing two algebraic expressions on either side of an equal sign (=). It shows the equivalence relation between the formula written on the left and the formula written on the right. In any formula, L.H.S = R.H.S (left side = right side). We can solve equations to find the values ​​of unknown variables that represent unknown quantities. If a statement doesn't have an equals sign, it means it's not an equation. considered to be an expression.

According to the question:

Given in the question:

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

3x+2y=7                         ---------------------------------------- (2)

Multiplying Equation (1) by 3 and (2) by 2, we get:

6x + 9y = 9                                 --------------------------------- (3)

6x + 4y = 14                                --------------------------------- (4)

Now,

Subtracting equation (4) from (3)

5y = 5

⇒ y = 1

Now, putting y = 1 in equation (1) we get:

   2x + 3 × 1 = 3

⇒ 2x + 3 = 3

⇒ x = 0

Therefore, x =0 and y=1.

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The value of the expression is -5.84

The question is mathematically expressed as follows

The question reads: three fifths times the quantity 1 plus the square root of 16 end quantity squared minus the quantity five minus two end quantity cubed

[(3/5*1 + √16)]² - (5-2)³

Simplify the brackets first

This implies that

(3/5 + 4)² - (3)³

Simplify further to have

[(3+20)/5]² - 27

⇒(23/5) -27

Simplify to get

529/25 - 27

= 21.16 - 27

=-5.84

Therefore the expression gives -5.84

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Answer:

63kg x 2.2 = 138.6 pounds

138.6 pounds/14 = 9.9 stones

Step-by-step explanation:

Answer:

63kg×2.2=138.6 pounds

138.6 pounds/14=9.9

Distance between Marvin and Joshua is less or equal to 12 meter.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given,

Marvin and Joshua are about to play in a circular field.

Diameter of the field D = 12m

Let distance between two friends is x

Since, Diameter is the longest chord in a circle

Thus, x ≤ D

Distance between two friends ≤ 12 meter.

Hence, Marvin and Joshua are 12 meter or less far away from each other.

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No, the given statement 45 is a prime number is false statement as 45 represents the composite number.

As given in the question,

Given number is equal to :

45

Prime numbers represents such numbers which is having only two factors one and the given number itself.

Prime numbers does not get exactly divided by any other integer.

Factors of 45 are equals to :

1, 3, 5, 9, 15, 45

It represents 45 has more than two factors.

And number 45 exactly get divided by 3, 5, 9, 15 .

So it is not a prime number rather it represents the composite number.

Therefore, the given statement 45 is a prime number is false statement as 45 is a composite number.

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On solving the provided question, we can say that  using properties of triangle, the value of x is 7.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

By using the property of triangle,

The exterior angle of the triangle is the sum of opposite two angle of the triangle.

Hence,

64 + 8x  = 18x - 6

10x = 70

x = 7

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Answer:

$735.75

Step-by-step explanation:

The equation is:

A = P(1 + rt)

We know

P = $675

r = 3% = 0.03

t = 3 years

Let's solve

A = 675(1 + 0.03 x 3)

A = 675( 1.09)

A = $735.75

Answer: -1/36

Step-by-step explanation:

Answer: - 1/36

Step-by-step explanation: exponet rule a^-b=1/a^