In a ring toss game, if the ring lands in the red area, the players receives 5 points. If the ring lands in the blue area, the player loses 2 points. How many points did Tina have if her rings landed in the blue area, then the red area, and then the blue area?

Answer:

a) x+5

b) x-3

c) 3x+7

d) 6x+14

e) 6x+9

Step-by-step explanation:

Follow the word problem. You can see that x is the age of Reema and we are given everyone else's age in terms either directly from Reema or derived from Reema's age. It's not asking for a number it's asking for an expression.

The required value after simplification of the s = -16/3. None of these are correct.

Given that,
To simplify \([\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\)   and to find the value of s in \(x^s\).

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Simplification,

\(=[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\\= \frac{x^{4/3}x^{-1}}{x^2x^3*{x}^{2/3}}\\= \frac{x^{1/3}}{x^{17/3}}\\=x^{-16/3}\)
Comparing with \(x^S\)
s = -16/3

Thus, the required value of the s = -16/3. None of these are correct.

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The actual bill was $62.5.Actual Billed Amount refers to the total amount that the Company actually bills.

Actual Billed Amount refers to the total amount that the Company actually bills Customers for (a) Customer Services rendered to Customers, or (b) Customer Directed Payments, plus applicable Taxes thereon, as specified in the Service Bill rendered on the relevant Business Day. However, for the avoidance of doubt, in no case will an amount specified on a Service Bill that is a re-issuance of a previously billed Actual Billed Amount (for example, the re-issuing

Based on the given situation of Wendy

Formula: actual bill * ( 12% + 1 ) = Expected bill

Let the actual bill is 'y'

∴ y* (12% + 1 ) * 70

⇒y * 1.12 = 70

⇒ y = 70/ 1.12

⇒ y = 62.5

Hence, the actual bill was $62.5

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Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The rate of painting is 8 m²/h.

28 square meters of the room are still left to paint after three hours. Let y represent the area in square meters that needs painting after x hours. We require a corresponding (x,y) pair in order to describe a point on a graph. In our situation, we require data on the rate of change in the correlation between the area still needing painting and the time after business hours. Hiro can paint eight square meters per hour. Thus, the equation Y = 8x, or the associated slope, is 8. (1)

By entering the number Y = 28 square meters into the previous formula 28 = 8X

=> X = 7/2

It is not an intercept but the point (7/2, 28).

Alternatively put, the location that is not the intersection with the slope

Your question is incomplete but most probably your full question was

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

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To calculate the probability of being dealt a full house in a 5-card poker hand, we need to determine the number of favorable outcomes (full house hands) and the total number of possible outcomes (all possible 5-card hands).

A full house consists of 3 cards of the same denomination (three of a kind) and 2 cards of another denomination (a pair). There are 13 denominations in a standard deck of cards (Ace, 2, 3, ..., 10, Jack, Queen, King), and for each denomination, there are 4 cards (one in each suit).

To calculate the number of full house hands, we can consider choosing the denomination for the three of a kind (13 choices) and then choosing the denomination for the pair (12 choices since it must be different from the first denomination).

For the three chosen denominations, we choose 3 suits for the three of a kind (4 choices each) and 2 suits for the pair (4 choices each).

The total number of possible 5-card hands is calculated using the combination formula: C(52, 5) = 2,598,960.

Therefore, the probability of being dealt a full house is:

P(full house) = (13 * 12 * C(4, 3) * C(4, 2)) / C(52, 5)

Calculating this expression gives the probability of being dealt a full house in a 5-card poker hand.

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Let it be:

• x: The larger number.

• y: The smaller number.

Then, we can write the following system of equations:

To solve the system of equations, we can use the elimination method.

Step 1: Multiply by -3 the Equation 1.

Step 2: We add both equations.

Step 3: We solve the resultant equation.

Step 4: We replace the value of y in any of the initial equations. For example, in Equation 1. Then, we solve for x.

Therefore, the larger number is 16, and the smaller number is -14.

The main difference between a matched-subjects design and a repeated-measures design lies in how the subjects are used and the nature of the comparisons being made.

In a matched-subjects design, subjects are carefully paired or matched based on specific characteristics that are relevant to the study. These characteristics could be demographic variables, pre-existing conditions, or any other relevant factors. The idea behind matching is to create pairs of subjects that are similar or comparable on these characteristics, so that any differences observed between them can be attributed to the independent variable being studied. Each member of the pair is then assigned to different treatment conditions. The comparisons in a matched-subjects design are typically made within pairs, focusing on the differences between the two members of each pair.

On the other hand, in a repeated-measures design, the same subjects are used in multiple treatment conditions. Each subject is exposed to all treatment conditions or levels of the independent variable. This allows for a direct comparison of the same subject's responses or performance across different conditions. By using the same subjects, individual differences and variability between subjects are minimized, and any differences observed can be attributed to the effects of the independent variable. The comparisons in a repeated-measures design are typically made within subjects, focusing on the differences in their responses across the different conditions.

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The sequence after subtracting n² from original sequence is :

132, 650 , 2070, 5112, 10712, 20022 .

A sequence is a collection of real and natural numbers where each term or list of elements is ordered in a specific order and repetitions are permitted.

Let n be the nth term of the sequence.

First term, a₁ = 12

n² = 12² = 144

Second term, a₂ = 26

n² = 26² = 676

Third term, a₃ = 46

n² = 46² =2116

Fourth term, a₄ = 72

n² = 72² = 5184

Fifth term, a₅ = 104

n² = 104² = 10816

Sixth term, a₆ = 142

n² = 142² = 20164

The new n² sequence =  144, 676, 2116 , 5184, 10816, 20164

By subtracting n² from n

We get ,  132, 650 , 2070, 5112, 10712, 20022 .

The new sequence = 132, 650 , 2070, 5112, 10712, 20022 .

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Answer: SAA or AAS

Step-by-step explanation:

You always start at the “void” or where there are the least amount of marks and go either way.

The cost of the whole pie will be $16.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at Penny's Pie Shop, it costs $4 for 1/4 of a pie. The cost of the whole pie will be calculated as,

Cost = 4 x 4

Cost = $16

Therefore, the cost of the whole pie will be equal to $16.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer: D. 3/5

Step-by-step explanation:

\(\frac{4}{5}\) - \(\frac{1}{5}\)

In order to add or subtract fractions, you need to make sure they have a common denominator.

In this case, the denominator is the same therefore you just subtract the numerators while keeping the denominator.

\(\frac{4}{5} -\frac{1}{5} = \frac{3}{5}\).

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

plan a = 3

plan b = 0.6

Step-by-step explanation:

The value for I is 0.03, the value for n is 32, and the value of the periodic payment R is approximately $1,503.50

To solve this problem, let's break it down into the following components:

A) The value for I:

The interest rate per period (I) needs to be adjusted to match the compounding frequency. Since the interest is compounded quarterly, we need to divide the annual interest rate by the number of compounding periods per year.

I = Annual interest rate / Compounding periods per year

I = 12% / 4

I = 0.12 / 4

I = 0.03

B) The value for n:

The number of periods (n) is determined by the number of years multiplied by the number of compounding periods per year.

n = Number of years x Compounding periods per year

n = 8 years x 4

n = 32

C) The value of the periodic payment R:

We can use the formula for the future value of an ordinary annuity to find the periodic payment R:

S = R * [(1 + I)^n - 1] / I

50,000 = R * [(1 + 0.03)^32 - 1] / 0.03

50,000 = R * (1.03^32 - 1) / 0.03

50,000 = R * (1.999 - 1) / 0.03

50,000 = R * 0.999 / 0.03

R = 50,000 * 0.03 / 0.999

R = 1,503.50

Therefore, the value for I is 0.03, the value for n is 32, and the value of the periodic payment R is approximately $1,503.50.

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The value of the trigonometric identities are;

1. cos R = 15/17

cos S = 8/17

2. cos R = 12/13

cos S = 5/13

Trigonometric Identities are simply seen as the equalities involving trigonometry functions.

It also holds true for all the values of variables given in the equation.

There are various distinct trigonometric identities involving the side length as well as the angle of a triangle. They are;

We have cosine represented as;

cos θ = adjacent/hypotenuse

For the first triangle, we have;

cos R = 30/34 = 15/17

cos S = 16/34 = 8/17

For the second triangle;

cos R = 24/26 = 12/13

cos S = 10/26 = 5/13

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He will need 14 boxes which can store can store 8 tins of coffee and 6 boxes that can store 12 tins of coffee.

let us assume:

Number of 8- tin boxes= x

Number of 12- tin boxes= y

we are given the condition that total number of boxes are 20, so-

x+y=20

⇒ x= 20-y

We are also given the condition that he has 184 tins of coffee, so-

8x+12y= 184

⇒ 8(20-y) + 12y = 184

⇒ 160 -8y +12y = 184

⇒ 4y= 24

⇒ y=6

⇒ x=20 -y

⇒ x= 20 - 6

⇒ x= 14

What do you mean by conditional linear equations?

A linear equation is an identity if solving it results in a true assertion, such as 0 = 0. The answer set is "all real numbers." An equation is conditional if there is only one solution to a linear equation, such as x = 3.

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To find the smallest integer greater than n that does not contain two identical consecutive digits, we need to examine each integer starting from n+1 until we find the desired number.

To solve this problem, we will iterate through integers starting from n+1 until we find the smallest number that satisfies the given condition.We can implement a loop that checks each integer to see if it contains any identical consecutive digits. If a number does contain such digits, we continue to the next integer. If it doesn't, we have found the smallest integer greater than n that meets the criteria.

Here's a step-by-step process:

Start with n+1.

Convert the integer to a string for easier digit comparison.

Check if any adjacent digits are identical.

If identical digits are found, move on to the next integer and repeat the process.

If no identical consecutive digits are found, we have found the smallest integer greater than n that satisfies the condition.

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The amount of principal needed for the investment to $7,400 in 8 years is $5,419.40.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that;

Plug the given values into the above formula and solve for P.

A = P( 1 + r/n )^( n × t )

P = A / ( 1 + r/n )^(n × t)

P = $7,400 / ( 1 + 0.039/12 )^(12 × 8)

P = $7,400 / ( 1 + 0.00325 )^(96)

P = $7,400 / ( 1.00325 )^(96)

P = $5,419.40

Therefore, the required principal is $5,419.40.

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Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

\(P = 2\)

\(G = 3\)

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

\(P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)\)

This gives:

\(P(G_1\ and\ G_2) = P(G_1) * P(G_2)\)

\(P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}\)

\(P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}\)

\(P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}\)

\(P(G_1\ and\ G_2) = \frac{3}{10}\)

\(P(P_1\ and\ P_2) = P(P_1) * P(P_2)\)

\(P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}\)

\(P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}\)

\(P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}\)

\(P(P_1\ and\ P_2) = \frac{1}{10}\)

Note that: 1 is subtracted because it is a probability without replacement

So, we have:

\(P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)\)

\(P(Same) = \frac{3}{10} + \frac{1}{10}\)

\(P(Same) = \frac{3+1}{10}\)

\(P(Same) = \frac{4}{10}\)

\(P(Same) = \frac{2}{5}\)

Answer:

y = -1/14x + 109/14

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.

Plug this value (-1/14) into your standard point-slope equation of y = mx + b.

y = -1/14x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -1/14(-3) + b

To find b, multiply the slope and the input of x (-3)

8 = 3/14 + b

Now, subtract 3/14 from both sides to isolate b.

8 - 3/14 = b

112/14 - 3/14 = b

109/14 = b

Plug this into your standard equation.

y = -1/14x + 109/14

This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)

Hope this helps!

Answer:

19/24

Step-by-step explanation:

Convert the mixed fraction to improper fraction:

3 1/6 = [(3 x 6) + 1] / 6 = 19/6

Convert 4 to a fraction = 4/1

So 3 1/6 ÷ 4 = 19/6 ÷ 4/1 = 19/6 x 1/4 = 19/24

Shapes that are identical to each other are considered congruent. There are no differences in the matching sides or angles.

What is a congruent shape?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them.

Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. We must examine all of the shapes' angles and sides in order to accomplish this. Two shapes that are similar to one another can be stacked perfectly.

Here is the format you requested:

△ABC = △DEC due to AAS

Angle A = Angle D Given

Angle B = Angle E Alternate Interior

Angle C1 = Angle C2 Vertically Opposite

AB = DE Congruent Sides

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Answer:

6425

Step-by-step explanation:

12.85x500=6425

Answer:

WYX

Step-by-step explanation:

Answer:

wxy

Step-by-step explanation:bc it is

Answer:

Each additional cup is 1 centimeter.

Step-by-step explanation:

We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.

Therefore, we can say that each additional cup is 1 centimeter.

Answer:

B

Step-by-step explanation:

Got it right.