Select the correct answer from each drop menu. PLEASE

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

Answer:

125

An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.

If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.

Therefore, the answer to \(5^{3}\) is 125.

Answer:575

Step-by-step explanation: deltamath

The approximate value for the probability that at least 80 flips are necessary is 0.3897.

Given:

a fair coin is flipped repeatedly until 50 heads are observed

using the central limit theorem, calculate an approximate value for the probability that at least 80 flips are necessary.

P (h>25)=p(h>=26)= 1-p(h<=26)

Assume the situation is approximately normal

u= np =50(1/2)=25 , s=√(npq) = √( 50)(.5)(.5) =√12.5

z=(x-u)/s = ( 26–25)/√12.5 = 0.283

P(z=0.283) =0.1103

Edit p(z>0.283)=0.1103

P(h <= 80)= 0.5+ 0.1103= 0.6103

P(h>=80) 1 - 0.6103 = 0.3897

Hence we get the required answer.

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The 48th percentile for weight means that the 16-year-old girl's weight falls within the range of weights that 48% of girls her age typically weigh.

The 78th percentile for height means that her height falls within the range of heights that 78% of girls her age typically have.

Percentiles are used in growth charts to compare an individual's height or weight to a reference population. The percentile values indicate the percentage of people in that population who have a lower measurement.

For example, a girl at the 48th percentile for weight means that 48% of girls her age weigh less than her, while 52% weigh more. Similarly, being at the 78th percentile for height means that 78% of girls her age are shorter than her, while 22% are taller.

In plain English, the girl's weight is considered to be in the middle range, as she is at the 48th percentile. However, her height is above average, as she is at the 78th percentile.

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Using the distributive property 4 (3 + 4x - 2y) is equal to (12 + 16x - 8y).

The distributive property of multiplication is one of the mathematical properties.

The distributive property states that multiplying a factor by the sum of two or more numbers or addends will yield the same result as multiplying each number separately by the same factor and adding the products together.

The implication of the distributive property is that 4 (3 + 4x - 2y) is of equal value as (12 + 16x - 8y).

4 (3 + 4x - 2y)

= (3 x 4) + (4x x 4) - (2y x 4)

= (12 + 16x - 8y)

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The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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The problem is to find two numbers that satisfy two conditions: their sum is 23, and their product is maximized. In other words, we need to determine two numbers that maximize their product while their sum remains constant.

To solve this problem, we can use algebraic reasoning. Let's assume the two numbers are x and y. We know that their sum is 23, so we have the equation x + y = 23. To maximize their product, we can express one variable in terms of the other. Solving the equation for y, we have y = 23 - x. Substituting this value of y in terms of x into the equation for the product, we get P = x(23 - x). This is a quadratic equation in terms of x. To find the maximum product, we can determine the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex represents the value of x that maximizes the product. By solving for x, we can then find the corresponding value of y.

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The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)

After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

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Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.

1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.


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Answer:

study DUHHHH

Step-by-step explanation:

Answer:

there is 10 dimes and 9 nickles in the jar.

Step-by-step explanation:

Answer:

7 dimes and 15 nickels

Step-by-step explanation:

Let n = number of nickels

d = number of dimes

The value of all the nickels is .05n since each nickel is worth 5 cents and

the value of all the dimes is .10d since each dime is worth 10 cents

Now    n + d = 22    and .05n + .10d = 1.45

          d = 22 - n                  5n + 10d = 145

                                            5n + 10(22 - n) = 145

                                       5n + 220 - 10n = 145

                                               -5n = -75

                                                  n = 15 nickels

           d = 22 - 15 = 7 dimes

Check:  All the nickels are worth 75 cents and all the dimes are worth 70 cents.   75 + 70 = 145 cents or $1.45

Answer:the answer is 9998.

Step-by-step explanation:

The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.

Answer:

1008 is the correct answer (i think)

Step-by-step explanation:

1008/2 is 504

1008/3 is 336

1008/6 is 168

hope this helps!

To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.

In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.

Each factor represents a root or zero of the function.

The degree of a polynomial is determined by the highest power of the variable in the expression.

To find the degree of the function, examine each factor in the factored form.

For linear factors, the degree is 1 since the highest power of the variable is 1.

For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.

By observing the highest power in the factored expression, you can determine the degree of the polynomial function.

If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.

It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.

The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.

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Answer:

x squared = 8x

Step-by-step explanation:

Move

8

x

to the left side of the equation by subtracting it from both sides.

x

2

−

8

x

=

0

Factor

x

out of

x

2

−

8

x

.

Tap for more steps...

x

(

x

−

8

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

x

−

8

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

8

The final solution is all the values that make

x

(

x

−

8

)

=

0

true.

x

=

0

,

8

It will take approximately 9.56 years for the money to double in a deposit account paying 7.25% compounded continuously.

a) The time it takes to double your money in deposit account paying 10% compounded semiannually can be calculated using the formula for compound interest which is:

A=P(1+r/n)^(nt)

Where:A= amount

P= principal (starting amount)

R= rate of interest per year

T= time (in years)

N= number of times interest is compounded per year For a deposit account paying 10% compounded semiannually:

R=10%/year

= 0.1/2

= 0.05/6 months

T= time (in years)

P= principal (starting amount)

= 1 (since we're looking for when it doubles)

N= number of times interest is compounded per year

= 2 (since it's compounded semiannually)

Using the formula:

A = P(1 + r/n)^(nt)²

= 1(1 + 0.05/2)^(2t)²

= (1.025)²t²/1.025²

= t5.512

= t

Therefore, it will take approximately 5.5 years for the money to double in a deposit account paying 10% compounded semiannually.

b) The time it takes to double your money in deposit account paying 7.25% compounded continuously can be calculated using the formula:

A = P*e^(rt)

Where:A= amount

P= principal (starting amount)

R= rate of interest per year

T= time (in years)Using the formula:A = P*e^(rt)2 = 1*e^(0.0725*t)ln(2)

= 0.0725*tln(2)/0.0725

= t9.56 years

Therefore, it will take approximately 9.56 years for the money to double in a deposit account paying 7.25% compounded continuously.

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Answer:

13 u²

Step-by-step explanation:

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

You can accurately conclude about this association that the positive correlation is interesting, but it does not give an explanation.

Any statistical association between two arbitrary variables or bivariate data, whether unproductive or not, is appertained to in statistics as correlation or reliance. Although" correlation" can mean any kind of association in the broadest sense, in statistics it generally refers to the strength of a brace of variables' direct connections.

Exemplifications of common dependent marvels include the relationship between parent and child height and the relationship between a good's price and the number of units buyers are prepared to buy, as seen by the so- called demand wind.

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Answer:

Step-by-step explanation:

Here you go mate

Step 1

11 – 24x = -26x – 16 - 5  Equation/Question

Step 2

11-24x = -26x-16-5  simplify

-24x+11=-26x-21

Step 3

-24x+11=-26x-21  add 26x

2x+11=-21

Step 4

2x+11=-21  simplify

2x=-32

Step 5

2x/2=-32/2  Divide both sides by 2

answer

x=-16

The value of 6x is 102.

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. LHS = RHS is a common mathematical formula.

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:

x=51/3

For 6x put x= 51/3 we get

6x = 6 x 51/3

6x = 2 x 51

6x = 102

Or, \(x^6\) = \((51/3)^6\)

\(x^6\) = 17,596,287,801 / 531,441

Hence, the value of 6x = 102.

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Answer:3

Step-by-step explanation:

10X10X10

100X10

1000

The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

Non-real solution:

An answer to a mathematical equation with the root of a negative number that cannot be determined using solely real numbers—i.e., numbers that can be described along a single axis—is referred to as a non-real solution.

If a quadratic has a negative discriminant, then the quadratic equation has a Non-real solution.

Given,

         \(x^{4} -x^{3}+10x^{2} -16x-96=0\)

On factorizing the above equation, we get

             \((x-3)(x-2)(x^{2} +16)=0\)

Applying Zero Product Property,

\(x^{2} +16 = 0\)      or     \(x-3=0\)     0r     \(x+2=0\)

Taking \(x^{2} +16 = 0\), we get

                \(x^{2} =-16\)

                x = ± \(\sqrt{-16}\)

                x = ± 4i              [∵ i = √-1]

Hence,

      The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

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Answer:

C

Step-by-step explanation:

edge 2026

The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.

Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.

The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.

To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.

We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.

Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.

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Answer:

2160 degrees

Step-by-step explanation:

The general equation to find the sum of interior angles in a polygon is;

\((n - 2) * 180\)

Where "n" is the sides of the polygon.

Substitute in 14 for "n"

( 14 - 2 ) * 180

Solve;

( 14 - 2 ) * 180

12 * 180

2160

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

mode is 39

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The other friend was riding at a speed of 4 miles per hour.

First we can start by using the formula:

distance = rate × time

Let's call the distance between the two friends "d" and the rate (or speed) of one of the friends "r". We know that they both started at 8:00 am and met up at 8:30 am, which means they each rode for 0.5 hours.

The total distance traveled by both friends is equal to the distance between them:

d = 7 miles

We also know that one of the friends was riding at a rate of 10 miles per hour. Let's call the rate of the other friend "x".

Using the formula, we can write two equations:

distance = rate × time

For the friend riding at 10 miles per hour

d = 10 × 0.5

d = 5 miles

For the friend riding at "x" miles per hour:

d = x × 0.5

d = 0.5x

Since both friends covered the same distance (7 miles), we can set these two equations equal to each other:

5 + 0.5x = 7

Subtracting 5 from both sides, we get:

0.5x = 2

Dividing both sides by 0.5, we get:

x = 4

Therefore, the other friend was riding at a speed of 4 miles per hour.

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