PLEASE HURRY!!!!
What is the value of x?

Answer:

One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing

Answer:

Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).

Step-by-step explanation:

A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with \(r=\frac{a_n}{a_{n-1}}\). For example, \(a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}\)

Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.

A geometric sequence can be used to model compound interest. An example of this is \(A = P (1 + \frac{r}{100})^n\) where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.

Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

The given equation is

First, we add 19 on each side

Then, we divide the equation by 3

Answer:

18.85 inches

Step-by-step explanation:

11.25+7.6= 18.85 inches.

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer: 0.00

Step-by-step explanation:

50$x2=100

Eric has 110$

The z-score for a backyard structure costing $2300 is -0.67.

The standard score in statistics is the amount of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or measured. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

The Z-score quantifies the deviation between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data set.

The z score will be:

= (2300 - 3100) / 1200

= -0.67.

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The high costs in the California real estate market have caused families who cannot afford to buy bigger homes to consider backyard sheds as an alternative form of housing expansion. Many are using the backyard structures for home offices, art studios, and hobby areas as well as for additional storage. The mean price of a customized wooden, shingled backyard structure is $3100 (Newsweek, September 29, 2003). Assume that the standard deviation is $1200.

a. What is the z-score for a backyard structure costing $2300?

Answer: Are you sure you wrote out the formula correct? if so, then based of the formula, the answer is -1487. Since the question asks to use the formula, we end up with this answer. I am pretty sure your missing a variable or have missed typed the formula because a negative height isn't possible unless the force that was pushing the ball down was great enough that the second the ball flew up, it went flying down at incredible speed. One example of this is if you through a ball of a mountain up in the air, but the wind direction was going down. This would result in the ball going up for only measly second, then instantly dropping down on rapid speeds.

Explanation: Since we are already given all necessary values in the story problem, all that is left is to substitute into the formula and solve algebraically.

Step 1.) Gather what you know

(+) Formula for height; h=5+60t-1612

(+) We know we need to find the ball's height after 2 second's in air.

(+) h=height

(+) t = time

Step 2.) Understand what you need to do. Since the formula determines the height of the kicked object given the value of t (time), we need to substitute t with the value necessary to know how high the object will fly in that given time. In this story problem, it is asking us the ball's height in 2 seconds.

Notice: The object height is calculated by the speed of the object in the air + other variable which include the initial height of the object and more.

Step 3.) Use the formula and substitute. Since we know how the formula works, we know that if we substitue any t (time) in the formula, then it will give use the height based of the t (time) we have given.

1.) h = 5 + 60(t) - 1612

2.) h = 5 + 60(2) - 1612

Step 4.) Use Algebra to solve the equation.

1.) h = 5 + 60(2) - 1612

h = 5 + 120 - 1612

h = 125 - 1612

h = -1487

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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i.  13 cars had faulty light. ii. 13 cars had only one fault. iii. 27 + x cars had at least two faults.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

i. To find the number of cars that had faulty light, we first need to find the total number of cars that failed the test. This can be calculated as:

Number of cars that failed = Total number of cars tested × (1 - Percentage passed)

Number of cars that failed = 120 × (1 - 0.60)

Number of cars that failed = 48

Now, we can use the information provided in the question to find the number of cars that had faulty light. According to the question, 10 cars failed due to brake and light faults, 3 cars failed due to steering and light faults, and the number of cars that failed due to light faults only is the same as the number of cars that failed due to steering faults only. Therefore, we can set up the following equation:

10 + 3 + x = number of cars that failed due to light faults

where x is the number of cars that failed due to steering faults only.

Since the number of cars that failed due to light faults only is equal to the number of cars that failed due to steering faults only, we can solve for x as follows:

10 + 3 + x = x

13 = x

Therefore, 13 cars had faulty light.

ii. To find the number of cars which had only one fault, we need to add up the number of cars that failed due to each individual fault (i.e. brake, steering, and light) and subtract the number of cars that failed due to multiple faults (i.e. brake and steering, brake and light, steering and light, and brake, steering, and light). This can be calculated as follows:

Number of cars with only one fault = (Number of cars that failed due to brake only) + (Number of cars that failed due to steering only) + (Number of cars that failed due to light only) - (Number of cars that failed due to multiple faults)

Number of cars with only one fault = 14 + 13 + x - (7 + 10 + 3 + 4)

Number of cars with only one fault = 13

Therefore, 13 cars had only one fault.

iii. To find the number of cars which had at least two faults, we can use the same equation as in part ii, but we don't subtract the number of cars that failed due to multiple faults. This can be calculated as follows:

Number of cars with at least two faults = (Number of cars that failed due to brake only) + (Number of cars that failed due to steering only) + (Number of cars that failed due to light only)

Number of cars with at least two faults = 14 + 13 + x

Number of cars with at least two faults = 27 + x

Therefore, 27 + x cars had at least two faults.

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Ss, variance and the standard deviation for the population of scores is 2.83 and 8 respectively

What is standard deviation and variance?

Standard deviation is a measure of the distribution of statistical data, whereas variance is a measure of how data points differ from the mean. The fundamental distinction between the two is that although the variance is expressed in squared units, the standard deviation is expressed in the same units as the data's mean.

Given,

SS = 40

Variance = 10

Standard Deviation = 3.16

Using Population Variance Formula :

= \(\frac{1}{n}\)∑( x-xbar)²  where i is 1

For the complete solution see the attachment of table

sum ( x - x bar)² = 40

so, variance = 40/5

= 8

standard deviation = \(\sqrt{8}\)

= 2.83

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

Step-by-step explanation:

Let the speed of current be x

Speed of the boat in same direction as current is

Speed against the current is

Based on the given we get the equation for time

Solving for x

The answer is 2 mph

Answer:

6/(10-x) = 4/(10+x)

Answer:

Let x an odd positive integer

Then, according to question

x^2 +(x+2)^2=290

2x^2 +4x−286=0

x^2 +2x−143=0

x ^2+13x−11x−143=0

(x+13)(x−11)=0

x=11 as x is positive

Hence required integers are 11 and 13

Step-by-step explanation:

Hope it is helpful....

140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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The value of ∠A in triangle ΔABC is 119° with ∠B = 44° and ∠C = 17° .

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The properties of a Triangle are :

The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.

In triangle ΔABC

∠B = 44° and ∠C = 17°

So, The sum of angles of a triangle is 180°

Therefore,

∠A + ∠B + ∠C = 180°

⇒∠A + 44° + 17° = 180°

⇒∠A = 180° - 61°

⇒∠A = 119°

The value of ∠A in triangle ΔABC is 119° with ∠B = 44° and ∠C = 17° .

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.

When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.

The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.

Therefore, the similar triangles are:

ΔBAC ~ ΔEDF.

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Answer:

x = (a-4)/c

Step-by-step explanation:

1) Multiply 6 for a and -cx

6a - 6cx = 24

2) Add -6a at the two members

-6cx + 6a -6a = 24-6a

-6cx = 24 -6a

3) Multiply the two members by -1

6cx = 6a - 24

4) divide the two members by 6c (assuming that its values is not 0)

x = (6a-24)/6c

5) simplify the second member

x = [6(a-4)]/6c

x = (a-4)/c

Given:

The objective is to find whether the two triangles are similar or not with explanation.

The given triangles can be represented as,

From the given figure, the sides AB = AC = 13.5 and the sides DE = DF = 7.5.

For two triangles to be similar, the ratio of their adjacent sides should be equal.

The ratios are,

Now, apply the given values in the above ratio.

Thus, the ratios of sides of the two triangles are similar.

Hence, the two triangles are similar triangles.

Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

a. 65 is the median

b. 61.16 or 66.42

c. 2 modes and its 6

explanation step by step

A.) you need to arrange it first lowest to highest : 52, 56, 57, 65, 65, 72, 98

B. add all the numbers and divided by how many are them. as you see there is 2 answers in it, the lowest one is I didn't add the outliner and the high one is outliner is added 98

C. look at the same number.(twice, triple etc)

Answer:

92 total boxes in the store

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

I think you have to change 7 ½ pounds to grams.The answer is 3401.9g