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

There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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The right choice for the equation is y+9=4(x-3). The Option B is correct..

An equation of the line refers to a linear equation having a degree of one. The equation contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

First thing to do is to solve each of these for y.  The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3.  From that, you can tell the positive slopes are found in the second and third equations.  

Those are the ones we will test now for the point (3, -9).  y=-9 and x=3, so let's fill in accordingly.  The second equation filled in is -9=4(3)-21.  

-9=12-21 and -9=-9.  So the second one works.  Just for the sake of completion, let's do the same with the third: -9=4(3)+21.  Does -9=12+21?  Of course, it doesn't. Our equation is the second one above, y+9=4(x-3).

The complete question is given below:

Select the equation that contains the point (3, -9), and in which the graph of the line has a positive slope.

y – 9 = –4(x + 3)

y + 9 = 4(x – 3)

y – 9 = 4(x + 3)

y + 9 = –4(x - 3)

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The density of water is 1 gram per milliliter, which means that 1 milliliter of water weighs 1000 milligrams (1 gram).

Milligrams (mg) and milliliters (ml) are two different units of measurement used for different purposes. Milligrams are used to measure mass or weight, while milliliters are used to measure volume or capacity.

The conversion between milligrams and milliliters depends on the density of the substance being measured. The density is a measure of the amount of mass per unit of volume.

In general, the conversion between milligrams and milliliters is not straightforward and requires knowing the density of the substance being measured. However, for liquids with a density of approximately 1 gram per milliliter, 1 milliliter is equivalent to 1000 milligrams.

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The area of the figure composed of the square and four semicircles is approximately 242.4 square units.

A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by drawing a diameter of a circle and then drawing the arc that connects the two endpoints of the diameter. The diameter divides the circle into two equal parts, each of which is a semicircle.

A semicircle has several important properties, including:

It has one straight side, which is the diameter of the circle.

The other side is curved, and it is a half-circle.

The radius of the semicircle is equal to half the diameter of the circle.

The circumference of a semicircle is half the circumference of the circle.

The area of a semicircle is half the area of the circle.

Semicircles are used in many applications of geometry and trigonometry, including in the study of angles, arcs, and circles. They are also used in architecture and engineering to design buildings, bridges, and other structures that have semicircular features.

In addition to being a geometric shape, a semicircle can also refer to a half-circle that is used as a decorative element or design motif. Semicircles are often used in art, architecture, and graphic design to create visually interesting patterns and compositions.

To find the area of the figure composed of a square and four semicircles, we need to first find the area of the square and the area of the four semicircles. Then, we can subtract the area of the four semicircles from the area of the square to get the total area of the figure.

The area of the square is simply the side length squared, so in this case it is:

Area of square = (22)^2 = 484 square units

The diameter of each semicircle is equal to the side length of the square, so the radius is half of that or 11 units. Therefore, the area of each semicircle is:

Area of semicircle = (1/2) * π * r^2 = (1/2) * π * 11^2 = 60.4 square units

Since there are four semicircles, the total area of the four semicircles is:

Total area of semicircles = 4 * Area of semicircle = 4 * 60.4 = 241.6 square units

To get the area of the entire figure, we need to subtract the area of the four semicircles from the area of the square:

Area of figure = Area of square - Total area of semicircles

Area of figure = 484 - 241.6 = 242.4 square units

Rounding this to the nearest tenth gives:

Area of figure = 242.4 (rounded to the nearest tenth)

Therefore, the area of the figure composed of the square and four semicircles is approximately 242.4 square units.

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The mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

The outcomes of events that can be counted or are finite are included in a discrete probability distribution.

Contrast this with continuous distributions, where results can occur anywhere along a continuum.

The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

Data tests of "counts" or "how many instances" an incident occurs are frequently used in these distributions.

Discrete distributions are utilized in finance to price options and predict recessions or market shocks.

Using the graphing calculator, the mean and standard deviation of the discrete probability is calculated as follows.

Hence, the mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

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The 2.8 liter is refers to the engine's displacement or volume

In the context of an engine, "2.8 liter" typically refers to the engine's displacement or volume. Specifically, it means that the engine can hold 2.8 liters (or 2,800 cubic centimeters) of air and fuel mixture in its cylinders.

The displacement of an engine is an important factor in determining its power and performance characteristics, as it influences the amount of air and fuel that can be burned during each engine cycle.

Generally, larger engine displacements are associated with more power and torque, although other factors such as the engine's design and technology also play a role.

Therefore, 2.8 liter is engine displacement

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The slope and y - intercept of the line of best fit are 1.22 and -0.09 respectively.

a.

To fill the table of the residuals, we can approach it as;

residual = food waste - number of people.

3.2 - 2 = 1.4

2.5 - 3 = -0.5

8.9 - 4 = 49

4.7 - 4 = 0.7

3.5 - 4 = -0.5

4 - 4 = 0

5.3 - 5 = 0.3

4.6 - 5 = -0.4

7.8 - 5 = 2.8

3.2 - 6 = -2.8

12 - 8 = 4

b.

The equation is given as;

y = 1.22x - 0.09

The slope of the line of best fit is 1.22

c.

The y - intercept is given as -0.99

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The volume of the composite figure would be 120 m³.

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

2x + 3y + z

3x + y

Given is the composite figure as shown in the image.

We can write the volume of the image as -

V = {6 x 5 x 2} + {1/2 x 5 x 4 x 6}

V = {60 + 60}

V = 120 m³

Therefore, the volume of the composite figure would be 120 m³.

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Answer:

Being lost on this problem is well-earned.  I don't know what the question is looking for.  There appear to be no options, other than to identify some unique feature of the calculation.

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

Step-by-step explanation:

I'll take a guess at how this problem wants the sentence to end.  We are told there are two roots a polynomial.  We can write the polynomial as the product of both roots, which would be equal to zero:

(a+[tex]\sqrt{b}[/tex])*(a-[tex]\sqrt{b}[/tex])

Multiply the factors to obtain:

a^2 - a[tex]\sqrt{b}[/tex] + a[tex]\sqrt{b}[/tex] + ([tex]\sqrt{b}[/tex] )^2

a^2 + b

So one might say:

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

But that's my guess at something that would be a true statement.

The equivalent expression to (2² x 3^4)^3 is given as follows:

2^6 x 3^12.

(first option).

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Hence the exponents for this problem are given as follows:

And the simplified expression is of:

2^6 x 3^12.

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Step-by-step explanation:

What is the electric potential at the centre of square of side 1 m ? the changes 1 x 10^-8c , - 2 x 10^-8 c, 3 x 10^-8 c and 2 x 10^-8 c are placed at the corners

There will be approx four teaspoons of US measurement system in 20 ml. That is the unit conversion of 20 mililitre is equals to four teaspoons.

A milliliter is a unit of volume equal to 1/1000 of a liter. It is the same as a cubic centimeter. A US teaspoon is a unit of volume in the cooking system that is equal to 1/3 of a tablespoon or 1/48 of a US cup. To calculate the value in milliliters to the corresponding value in teaspoons [US], multiply the amount in milliliters by 0.2028841362 (conversion factor). Here is the formula: Value in teaspoons [US]

= value in milliliters × 0.2028841362

Now we need to convert 20 ml to teaspoons. So using the above formula we can write the number of teaspoons in 20 ml is Value in teaspoons [US]

= value in milliliters × 0.2028841362

= 20 ml × 0.2028841362

= 4.057682724 ~ 4

Hence required value is 4 teaspoons.

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The value of y is 9

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore, the perimeter of a rectangle can be expressed as:

P = 2(l+b)

l = 4y

b = 3y+3

132 = 2(4y+3y+3)

132 = 2( 7y+3)

132 = 14y +6

14y = 132 -6

14y = 126

divide both sides by 14

y = 126/14

y = 9

therefore the value of y is 9

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The value of y in the rectangle shown is: y = 7.

The perimeter of a rectangle = 2(length + width)

Given the following as shown in the image attached below:

Length of rectangle = 5y + 3

Width of rectangle = 4y

Perimeter = 132 units

Plug in the values:

132 = 2(5y + 3 + 4y)

Solve for y:

132 = 2(9y + 3)

132 = 18y + 6

132 - 6 = 18y

126 = 18y

126/18 = y

7 = y

y = 7

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The probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915

To find the probability that a randomly selected score from a normal distribution with mean µ = 70 and standard deviation σ = 12 is less than x = 76,

we need to use the standard normal distribution and calculate the z-score corresponding to x = 76, and then look up the corresponding area under the standard normal curve using a standard normal distribution table.

The z-score is calculated as:

z = (x - µ) / σ

z = (76 - 70) / 12

z = 0.5

By using a standard normal distribution table, we can find the area under the curve to the left of z = 0.5, which is 0.6915.

Therefore, the probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915 or approximately 69.15%.

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Answer:

The probability of landing on less than two sections when the spinner is spun once is 0.25.

Answer: it will be 0.25 hope this helped have a nice day :)

The Whole numbers in mathematics are represented in the form of {0 , 1 , 2 , 3 , 4 , ... } .

The Whole Numbers are defined as a set of positive integers, including zero, which do not have a fractional or decimal component.  

The set of whole numbers is denoted by the symbol "W", and it can be expressed as : W = {0, 1, 2, 3, 4, 5, 6, ...}

In other words, the set of whole numbers is the set that starts with 0 and includes all the positive integers which can be obtained by repeatedly adding 1 to the previous number .

The Whole numbers are used to represent the quantities that cannot be divided into smaller parts.

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You kayak 140 feet further in 5 minutes going downstream than you do in 5 minutes going upstream.

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the distance traveled and the amount of time it took to travel that distance.

Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,

Distance = Speed X Time.

Given: You paddle a kayak 168 feet up a river every two minutes.

Hence, 168/2 = 84 feet per minute.

Therefore you go up  84 feet in one minute.

You reach 84*5 = 420 feet in 5 minutes.

Given: As you paddle back down the river, you cover 56 feet every 30 seconds.

Speed is determined by distance traveled divided by time, therefore when traveling downward, 56/0.5 equals 112 feet per minute.

In one minute, you descend by 112 feet.

You descend 560 feet in 5 minutes, or 5*(112) feet.

As a result, you will move on 140 feet (560 - 420)=140 feet further .

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The conversion of 240 minutes in hours is 4 hours.

Hours and minutes are units of time used to measure the duration of events or the amount of time that has elapsed. An hour is a unit of time equal to 60 minutes or 3,600 seconds. It is typically used to measure the duration of longer events, such as a movie, a class, or a workday.

To convert 240 minutes to hours, you can divide 240 by 60 (since there are 60 minutes in one hour).

240 minutes / 60 = 4 hours

Therefore, 240 minutes is equivalent to 4 hours.

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Answer:

Step-by-step explanation:

Lets set up a table to keep the information organized.  See the attached table.

There are 6 recipients:  1 cat and 5 nieces.  But since one of the nieces gets an extra 5%, let's treat the extra amount as a separate recipient, which is lablelled N' in the table (Green arrow).  Now enter the percentages for each recipient group.  The percentages for the cat and N', the extra for the youngest niece, are 35% and 5%, as noted.  That leaves 60% to be equally divided among the 5 nieces (including the youngest one who get an additional 5%).  [Note that the 5% extra for niece N' was removed from the total before the remainder can be evenly split amoung the 5 nieces.]

The percentages are multiplied by the total of $38,000 to yield the amounts shown on the table.  

                      Cat:   $13,300

4 younger nieces:   $ 4,560 each  ($18,240) total

    Oldest niece:      $ 6,440

                                  ======

                                                          $38,000 total

[Footnote:  the oldest niece adopted the cat]

The amount of money that the cat inherits and other niece would be =$13,300 and $24,700 respectively.

The total amount of money that is the worth of the estate of Uncle Scrooge = $38000

The amount of money that goes to the cat = 35% of $38000.

That is;

= 35/100× 38000

= 1330000/100

= 13,300

The amount of money that will be received by the remaining niece = 38000-13300 =$24,700

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The expansion of (2x+3y) ∧ 6 will contain 7 terms.

The expansion of [tex](2x+3y)^6[/tex] will contain 7 terms.

To see why, consider the binomial theorem, which tells us that the expansion of [tex](a + b) ^n[/tex] will have (n+1) terms, where the first term has coefficient 1 and the last term has coefficient 1.

In the case of [tex](2x+3y)^ 6[/tex], we can think of this as the expansion of [tex](2x + 3y) ^6 as (2x) ^ 6 + 6(2x) ^ 5(3y) + 15(2x) ^ 4(3y) ^ 2 + 20(2x) ^ 3(3y) ^3 + 15(2x) ^2(3y) ^ 4 + 6(2x)(3y) ^5 + (3y) ^6.[/tex]

As we can see, there are seven terms in this expansion, each with a different combination of powers of 2x and 3y. Therefore, the expansion of [tex](2x+3y)^ 6[/tex] will have 7 terms.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots.

Expressions are used to represent numerical or algebraic quantities, and they can be as simple as a single number or variable, or as complex as a polynomial or rational function.

For example, the expression 2 + 3 represents the sum of 2 and 3, and the expression 3x - 7 represents the result of multiplying x by 3 and then subtracting 7.Expressions can be evaluated by following the order of operations, which tells us to perform operations in a specific order (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

Expressions can also be simplified or manipulated using algebraic rules and properties to make them easier to work with or to solve equations involving them.

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Answer:

Step-by-step explanation:

188lbs = 85.2754 kg

Try using Socratic and it may help

The linear function on the graph is:

f(x) = -x/4 + 13

And the domain is 0 ≤x ≤43

A general linear function is written as:

f(x) =a*x + b

Where a is the slope and b is the y-intercept.

On the graph we cans ee that the y-intercept is y = 13 (initial amount of gasoline) then:

f(x) = a*x + 13

To find the value of the slope we can use the fact that the line passes through (20, 8), replacing these values we will get:

8 = a*20 + 13

8 - 13 = a*20

-5 = a*20

-5/20 = a

-1/4 = a

So the function is

f(x) = -x/4 + 13

And the domain is the set of possible values of x.

We start at x = 0

And the maximum of the domain is the value such that the fuell is totally consumed, it is:

0 = -x/4 + 13

x/4 = 13

x = 4*13 = 52

The domain is 0 ≤x ≤43

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Answer: 40

Step-by-step explanation:

20% = 0.2

0.2 x 200 = 40

If the boat needed to travel 15 miles there and back, while the stream only moves 5 miles per hour, it would take 3 hours to travel there and back. This means that in still water, the boat would take 6 hours to move 15 miles upstream and back.

The binomial probability distribution is a discrete probability distribution that describes the probabilities of two independent outcomes in an experiment. A Poisson probability distribution is a discrete distribution whereby the stochastic process x makes a difference the number of occasions that an event occurs in a given interval.

Is the result of such a laboratory activity a probability distribution?

A probability distribution consists of a table or an equation that associates each output of a random experiment with the likelihood of its event occurring. Consider the following simple experiment: we toss a coin twice. The experiment could result in the head count being equal in 2 different coin flips.

What are the two binomial distribution outcomes?

Binary Distribution

Each trial yields one of two outcomes: success or failure. The success probability, denoted by p, remains constant from trial to trial. The n trials are autonomous.

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It should be noted that the value of the angles will be m<2= 101; m<1=79°.

It should be noted that if parallel lines are intersected by a transversal, the correspondng angles are congruent

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

In this case, m2 = 180 - 79

= 101°

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As per the exchange rate, 4.5 million YEN is equivalent to 41,145 USD.

The first step in converting currency is to determine the current exchange rate between the two currencies. In this case, we will need to find the exchange rate between Japanese yen (JPY) and US dollars (USD). As of writing this, the exchange rate is 1 USD = 109.62 JPY.

Next, we will use the conversion factor to convert 4.5 million JPY to USD. To do this, we need to multiply the amount of JPY by the conversion factor, which is the exchange rate.

1 USD / 109.62 JPY = 0.00913 USD/JPY

Now, we can use this conversion factor to convert 4.5 million JPY to USD.

4.5 million JPY * 0.00913 USD/JPY = 41,145 USD

Therefore, 4.5 million JPY is equivalent to 41,145 USD.

In conclusion, converting currency from one form to another may seem challenging, but with the help of conversion factors, it becomes simple. Just remember to multiply the amount of the original currency by the conversion factor to get the equivalent value in the desired currency.

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To find the equation of the tangent plane to the parametric surface, we need to find the partial derivatives of x, y, and z with respect to u and v, evaluate them at the point (u, v) = (2, 1), and use them to construct the equation of the tangent plane.

The partial derivatives of x, y, and z with respect to u and v are:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 10u, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

Evaluating these partial derivatives at (u, v) = (2, 1), we get:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 20, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

So the normal vector to the tangent plane is:

N = <1, 20, 1> × <1, 0, -1> = <-20, 0, -20>

This normal vector is perpendicular to the tangent plane, so the equation of the tangent plane can be written as:

-20(x - 2) + 0(y - 5) - 20(z - 0) = 0

Simplifying this equation, we get:

-20x + 20z = -40

Dividing both sides by -20, we get:

x - z = 2

Therefore, the equation of the tangent plane to the given parametric surface at the point (2, 5, 0) is x - z = 2.

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Answer:

a) The probability that the first two people share a birthday is 0.97 or 97%.

b) The probability that at least two people share a birthday is 0.99 or 99%.

c) The probability that all three people share a birthday is 0.0015 or 0.15%.

d) The probability that at least one pair of 15 people share a birthday is 0.58 or 58%.

e) The probability that at least one pair of 23 people share a birthday is 0.87 or 87%.