Chen made a table to track the savings he builds up over the first three weeks of doing chores. He's decided to not spend
any of the money.
If the sequence of values for the money that he has saved over the first three weeks follows an arithmetic pattern, how
much money will he have saved by the fourth and fifth weeks?
Type the correct answer in each box. Use numerals instead of words. Do not use $.
Week
1
2
3
4
5
Dollars Saved
12
18
24

The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.

The mean is the average value of a data set.

To compute the average, the total value of the data set is divided by the number of items involved.

The average value or mean is the quotient of the total value and the number of data items.

On the other hand, the median describes the middle value of an ordered list of data values.

Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.

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Answer:

D

Step-by-step explanation:

the last one, because sin(0)=0, cos(0)=1.

The value for the length of CD is equal to 3.9 mm using the intersecting secant theorem

The intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.

DY × CY = BY × AY

{AY = 2 mm + 6 mm}

2.5 × CY = 2 mm × 8 mm

2.5 × CY = 16 mm

CY = 16mm/2.5 {divide through by 2.5}

CY = 6.4

{CD = CY - DY}

CD = 6.4 - 2.5

CD = 3.9

Therefore, the value for the length of CD is equal to 3.9 mm using the intersecting secant theorem.

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We have verified the identity [tex]csc^2(x)cos^2(x) = csc^2(x) - 1.[/tex]

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, as well as the functions derived from these relationships. The most common trigonometric functions are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively. These functions are used to model periodic phenomena such as sound waves, ocean tides, and the motion of planets.

To verify the identity [tex]csc^2(x)cos^2(x) = csc^2(x) - 1[/tex], we will start with the left-hand side and manipulate it until we get the right-hand side. Here's the full work:

[tex]csc^2(x)cos^2(x)[/tex] (given)

[tex]= (1/sin^2(x))(cos^2(x))[/tex] (definition of csc)

[tex]= (cos^2(x))/sin^2(x)[/tex] (multiply by reciprocal)

[tex]= (cos^2(x))/(1 - cos^2(x))[/tex](Pythagorean identity)

[tex]= (cos^2(x))/(1 - cos^2(x)) * [(1 + cos^2(x))/(1 + cos^2(x))][/tex] (multiply by conjugate)

[tex]= (cos^2(x)(1+cos^2(x)))/((1 - cos^2(x))(1 + cos^2(x)))[/tex](multiply and simplify)

[tex]= cos^2(x) * (1 + cos^2(x)) / (1 - cos^4(x))[/tex] (expand denominator)

[tex]= cos^2(x) / (1 - cos^2(x))[/tex] (cancel common factor of [tex]1 + cos^2(x))[/tex]

[tex]= csc^2(x) - 1[/tex](definition of csc and simplify)

Therefore, we have verified the identity [tex]csc^2(x)cos^2(x) = csc^2(x) - 1.[/tex]

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The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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Answer:

32/7 = 4 + 5/7

Step-by-step explanation:

With 95% confidence that the true population mean weight of the sardine cans is between 7.813 oz and 7.887 oz.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have,

In this scenario, we have a cannery that claims their sardine cans have a net weight of 8 oz. We want to test this claim by taking a simple random sample of 30 cans and measuring their weights

From our sample of 30 cans, we calculated a sample mean of 7.85 oz and a standard deviation of 0.1 oz. The sample mean is an estimate of the population mean, and the standard deviation tells us how much the weights in our sample vary from the mean.

To determine the cutoff values for the middle 95% of the mean weights in this distribution based on the sample data, we can use the t-distribution with n-1 degrees of freedom. The degrees of freedom in this case are 29, which is one less than the sample size.

Using a t-distribution table or calculator, we can find the t-value for a 95% confidence level with 29 degrees of freedom, which is approximately 2.045. We can use this t-value to calculate the margin of error for the sample mean as:

margin of error = t-value * (standard deviation / square root of sample size)

= 2.045 * (0.1 / √(30))

= 0.037

The margin of error tells us how much the sample mean is likely to vary from the true population mean. To find the cutoff values for the middle 95% of the mean weights, we add and subtract the margin of error from the sample mean as follows:

lower cutoff value = sample mean - margin of error

= 7.85 - 0.037

= 7.813

upper cutoff value = sample mean + margin of error

= 7.85 + 0.037

= 7.887

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60 INCH TV MATE 60

the answer is 60 inch its a trick question just find out the inches there trying to trick you its 60 inch mate enjoy <3 Mark me brainliest

Answer:

1. Tv Length: 12 in

2. Tv Width: 5 in

3. Sorry I don't understand 3

4. I have a 60-inch Tv.

Hope this helps!

I

Since the polygon's perimeter equals the sum of its sides. This means that the perimeter (P) of a rectangle is;

P = the sum of all of its sides.

P = a + b + a + b In a rectangle, the opposite sides are equal.

P = 2(a + b)

Given a rectangle with length 4x and width x, what is its perimeter?

P equals 2(a + b), thus 48 equals 2(x + 4x).

48 = 2(x+4x)

48 = 2(5x)

48 = 10x

x  = 4.8

4x = 19

19.2 feet in length and 4.8 feet in width when first built.

The new length would be 9.5+19.2=28.7 if 9 1/2 were added to the previous length.

A new length of 28.7 feet results as a result.

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Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,

A= [[-1, 0],
   [ 0, 1]]

This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.

Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).

Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.

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The approximate arc length of the circle of radius 1 unit is B. 0.785 units.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, S = rФ, where S is the arc length, r is the radius and Ф is the measure of the angle in radians.

Therefore, When r = 1 and Ф = π/4,

S = 1×π/4.

S = 0.785 units.

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The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .

Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.

The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:

2f < 223

Here 223 is the time for Kelvin.

Check for Lori as follows:

2f < 223

2 x 55=110 < 223

Kelvin skied without falling more than twice as long as Lori.

Check for Vanessa as follows:

2f < 223

2 x 265=530>223

Check for Arnold as follows:

2f < 223

2 x 356=712>223

Kelvin skied without falling less than twice as long as Arnold.

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Complete question:

Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.

Lori 55

Vanessa 265

Devon 172

Celia 112

Arnold 356

The conversion of 195 lbs to other mass unit kilogram is equals to the 88.45051215 kg.

Kilogram (kg) and pound (lbs) are used to measure the mass of the substance/objects. In the United States and the British commonwealths, the unit used for mass is called pound. A pound is defined as aporoximatly 0.45359237 kilograms. The kilogram, or kilogramme, is the base unit of mass in the Metric system. To convert lbs to kg, multiply the particular lbs value by 0.45359237 kg. For example, to convert x lbs to kilogram, multiply the x lbs by 0.45359237 kg. So,x lbs = x × 0.45359237 kg

x lbs = 0.45359237x kg, if x = 3

Therefore, 3 lbs is approximately equal to 1.36077711 kg. It is very important skill to convert the lbs to kilograms in mass measurment. Now, we have 195 lbs. We know that one lbs

= 0.45359237 kg

Therefore, 195 lbs = 195 x 0.45359237 kg

195 lbs = 88.45051215 kg.

Hence, 195 lbs is equal to 88.45051215 kg.

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The given function is solved using the power rule. The nth derivative of the given function f(x)=xⁿ is  [tex]f^{(n)}(x) = n!x^{n-n }= n![/tex].

The power rule instructs how to differentiate xⁿ. It is used to determine the slope of polynomial functions as well as any other function with a real number exponent.

The given function is considered a power function. This is because the x is raised to the power (n). This n is considered a real number. So the derivative of this function is derived using the power rule.

First, differentiating the given function as follows,

[tex]\begin{aligned}f'(x)&=nx^{n-1}\\f''(x)&=n(n-1)x^{n-2}\\f'''(x)&=n(n-1)(n-2)x^{n-3}\end{aligned}[/tex]

So observing the pattern, the nth derivative is found as follows, [tex]f^{(n)}(x) = n!x^{n-n }= n![/tex]

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The complete question is -

Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.

f(x)=xⁿ

Answer:

The period of a spring-mass system is the time it takes for the weight to complete one full cycle of motion (i.e., go up and down once).

In this problem, we are told that the weight goes up and down 60 times in 90 seconds. Therefore, the time it takes for the weight to complete one cycle of motion is:

90 seconds / 60 cycles = 1.5 seconds/cycle

To find the period of the motion in minutes, we need to convert the time per cycle from seconds to minutes:

1.5 seconds/cycle * 1 minute/60 seconds = 0.025 minutes/cycle

Therefore, the period of the motion is 0.025 minutes/cycle or 25 milliseconds/cycle. In this case, it is 1/40 minutes.

Answer: i think B.1/40 minutes

Step-by-step explanation: hope this helps0^0

a. Probability of finding the ring is 0.2 or 20%.

b. Probability of not finding the ring is 0.8 or 80%.

c. Digging in the shaded square region at the right does not improve Kendrick's chances of finding the ring because the probability of finding the ring per unit area is the same in all the regions.

The probability of finding the ring in the 2-foot square shaded region can be calculated below as follows:

Probability = (area of shaded region) / (area of entire sandbox)

area of the shaded region = 2 * 2

area of the shaded region = 4

area of the entire sandbox = 5 * 4

area of the entire sandbox =  20

Probability = 4 / 20

Probability = 0.2 or 20%.

b. The probability of not finding the ring:

Probability of not finding the ring = 1 - Probability of finding the ring

Probability of not finding the ring = 1 - 0.2

Probability of not finding the ring = 0.8 or 80%.

c. Digging in the larger square region does not improve Kendrick's chances of finding the ring because the probability of finding the ring depends only on the ratio of the area of the shaded region to the area of the entire sandbox.

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Answer:

16

Step-by-step explanation:

12-(-4)

12+4

16

This is the answer you looking for.

A. Yes, this is a statistical question.

A statistical problem has four main elements that define it: the manner in which the question is posed, the characteristics and function of the data, the specific methods used to analyze the data, and the inferences drawn from the investigation. In summary, a statistics problem usually consists of four essential components.

1. Ask a Question

2, Collect Data

3. Analyze Data

4. Interpret Results

A statistical question is a question that can be answered by collecting and analyzing data. In this case, Geraldo is asking about the number of people who show up to play bingo each week.

This question can be answered by collecting data over a period of time and calculating the average number of people who show up to play bingo each week.

Therefore, this question is a statistical question.

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Answer:

surface area = 578^2

Step-by-step explanation:

SA of cylinder = 2πr^2+2πrh

r = radius (8)

h = height (7)

= 2 x π x 6^2 + 2 x π x 8 x 7

= 578.053

Answer:

[tex]8y^{3}[/tex]

Step-by-step explanation:

First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).

Answer:

Step-by-step explanation:

Given

[tex]\left(y^22\right)\left(y2^2\right)[/tex]

Lets simplify.

Remove the parenthesis.

[tex]y^2*2*y*2^2[/tex]

Rearrange the terms. (commutative property)

[tex]y*y^2*2*2^2[/tex]

Rewrite [tex]y[/tex] as [tex]y^1[/tex].

[tex]y^1y^2*2*2^2[/tex]

Use the power rule to combine the exponents.

[tex]y^{1+2} *2*2^2[/tex]

[tex]y^{3} *2*2^2[/tex]

Evaluate [tex]2*2^2[/tex].

[tex]2*2*2=8[/tex]

[tex]y^3*8=8y^3[/tex]

[tex]8y^3[/tex]

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We see that both sides are equal, so we can conclude that Camila's solution is correct.

If Camila solved the equation by subtraction and found that n + 17 = 39, then she must have subtracted 17 from both sides to isolate the variable n:

n + 17 - 17 = 39 - 17

n = 22

Therefore, her solution is n = 22.

To check her solution, we can substitute n = 22 back into the original equation and see if it satisfies the equation:

n + 17 = 39

22 + 17 = 39

39 = 39

Since both sides of the equation are equal when n = 22, we can say that her solution is correct.

Alternatively, we can simplify the left-hand side of the equation and compare it to the right-hand side:

n + 17 = 39

22 + 17 = 39

39 = 39

Again, we see that both sides are equal, so we can conclude that Camila's solution is correct.

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The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

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

We can write the function f(x) as -

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

We can find the inverse function {f⁻¹(x)} as follows -

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

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

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

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

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

Answer:

$4

Step-by-step explanation:

The angle of depression from the top of the taller building is equal to the angle of elevation from the top of the shorter building.

The angle of depression from the top of the taller building is the angle between the line of sight from the top of the taller building and the base of the shorter building. This angle is equal to the angle of elevation from the top of the shorter building, which is the angle between the line of sight from the top of the shorter building and the top of the taller building. Both angles are measured from the horizontal and are equal in b. This is because the two buildings are the same distance apart and the line of sight from the top of one building to the base of the other is the same as the line of sight from the base of one building to the top of the other.

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The fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

When evaluating equivalent fractions, the numerator and denominator are multiplied or divided by the same value. As a result, equivalent fractions will all have the same value when reduced to their simple form.

To find the equivalent fraction we simplify the fractions to the simplest form:

3/7 and 36/84

The simplified form of 36/84 = 3/7

3/7 and 36/84 are equivalent.

3/6 and 6/9 = 1/2 and 2/3 - Not equivalent

7/12 and 12/7 not equivalent

1/5 and 1/10 = 1/5 and 1/5 equivalent.

Hence, the fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.

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Answer: 22 degrees !

Step-by-step explanation: angle ABD is a right, 90 degree angle. angle ABC is a 68 degree angle. CBD is left, so you would do 90-68 to find it, which equals 22 :)