Help me! Can someone please

The amount that Lucy pays for the shoes is $61.56.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this situation, Lucy buys a $68 pair of shoes. she receives a 15% employee discount and the sales tax is 6 1/4. The amount paid will be:

= $68 - (15% × $68)

= $57.80

Addition of the sale tax will be:

= $57.80 + (6.5% × $57.80)

= $57.80 + $3.76

= $61.56.

The price is $61.56.

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Answer: B & A

Step-by-step explanation: I think?

Answer:

A.[tex] \frac{7}{6} \sqrt{x} [/tex]

Step-by-step explanation:

Solution Given:

[tex] \sqrt{98{x}^{3} } \div \sqrt{72 {x}^{2} } [/tex]

Bye using indices formula

[tex] \sqrt{x} \div \sqrt{y} = \sqrt{ \frac{x}{y} } [/tex]

we get

[tex] \sqrt{ \frac{98{x}^{3} }{72 {x}^{2} } } [/tex]

[tex] \sqrt{ \frac{49 {x}^{3} }{ 36 {x}^{2} } }[/tex]

[tex] \sqrt{ \frac{{7}^{2} {x}^{3 - 2} }{{6}^{2} } } [/tex]

[tex] \frac{7}{6} \sqrt{x} [/tex]

Kevin's adjusted gross income is $36, 815. 52

Adjusted gross income is simply described as gross income minus certain adjustments from the income.

These adjustments includes;

It is calculated as;

Adjusted gross income = sum total of income - expenses

Now, let's substitute the values into the formula, we have;

Adjusted gross income = $(41,732 + 33.52) - $(1050 + 3900)

Add the values

Adjusted gross income = $(41, 765. 52 - 4950)

Subtract the values

Adjusted gross income = $36, 815. 52

Hence, the value is $36, 815. 52

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280 is the number which is 16 2/3% more than 240

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We would receive 16 times 3 plus 2 if we converted 16 2/3 to an improper fraction. Then, we would divide this number by 3, getting 50/3, which is equal to 50/3 divided by 100, or 1/6.

(1/6) th of 240 = 240/6 = 40

40 more than 240 = 280

So, 280 is the number which is 16 2/3% more than 240

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The amount of money he must put in the account is $16666.66

A portion of the total loan amount that the borrower is required to pay the lender as interest over a predetermined timeframe.

This year, the Bank of Canada quickly increased its policy rate, taking it from 0.25% in March 2022 to 4.25% in December 2022, and in the process, driving up mortgage and prime rates. An interest rate is the portion of a loan, deposit, or borrowing that must be paid in interest each period. The total amount of interest charged depends on the amount lent or borrowed, the interest rate, the frequency of compounding, and the length of time it was lent, deposited, or borrowed.

Given,

r=4%

T=5 years

Total amount=SI+P

=20000

SI+P=20000

SI=20000-P

SI=PTR/100

20000-P=(P×5×4)/100

2000000-100P=20P

120P=2000000

P=16666.66

Therefore, The amount of money he must put in the account is $16666.66.

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The volume of each brick is 0.75m³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object. It is measured in cubic units.

A brick has a cuboidal shape. This means the volume of a cuboid is given as:

V = l×b×h

This means volume = area × height

The volume of the whole wall is calculated as:

15× 6× 20 = 18000m³

Since there are 24000 bricks needed for the wall. The volume of each brick is therefore calculated as:

V =18000/24000

= 0.75m³

Therefore the volume of each brick is 0.75m³

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Since the function f(x) = 9.25x + 3 represents the amount of money that Radda earns dog walking for x hours, Radda's earnings would increase by $12.25 each hour.

In Mathematics, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be used to model (represent) the total amount of money that is being earned by Radda for dog walking;

T = mx + b

Where:

Therefore, the required linear function that represents the total amount of money that is being earned by Radda for dog walking per hour is given by this mathematical expression;

f(x) = T = 9.25x + 3

When the number of hours Radda spend dog walking is equal to 1 (x = 1), the rate of change(slope) can be calculated as follows;

f(1) = T = 9.25(1) + 3

f(1) = T = 9.25 + 3

f(1) = T = $12.25.

In this context, we can reasonably infer and logically conclude that Radda's earnings increases each hour by $12.25.

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Complete Question:

The function f(x) = 9.25x + 3 represents the amount Radda earns dog walking for x hours. How much does Radda's earnings increase each hour?

Answer:obtuse angle

Step-by-step explanation:

An obtuse angle is an angle of greater than 90° and less than 180°. It is bigger than an acute angle. It is smaller than a straight angle, which measures 180°. Angles are measured with a protractor obtuse angle is specifically present in hexagon and pentagon and others.

Answer:

2

Step-by-step explanation:

Answer:

7.51

Step-by-step explanation:

16.72 - 9.21

Answer:

x = 3

Step-by-step explanation:

8x + 2 = 26

8x = 26 - 2

8x = 24

x = 24/8

x = 3

Check:

8*3 + 2 = 26

24 + 2 = 26

The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, [tex]a^{2}+b^{2} =c^{2}[/tex]

Given that,

Length of the ladder is, [tex]l=9ft[/tex]

Let the top of ladder be at height of 'h' and the bottom of the ladder be at a distance of 'b' from the wall.

Now, from triangle ABC,

[tex]AB^{2} +BC^{2} =AC^{2}[/tex]

[tex]h^{2} +b^{2} =l^{2}[/tex]

[tex]h^{2} +b^{2}[/tex] = [tex]9^{2}[/tex]

[tex]h^{2} +b^{2}[/tex] = 81               (Equation-1)

Differentiating the above equation with respect to time, 't'.

So,

We can write,

[tex]\frac{d}{dt} (h^{2}+b^{2} )[/tex] = [tex]\frac{d}{dt}[/tex] (81)

[tex]\frac{d}{dt} (h^{2}+b^{2} )[/tex] = 0

[tex]2h\frac{dh}{dt} +2b\frac{db}{dt}[/tex] = 0

[tex]h\frac{dh}{dt} +b\frac{db}{dt}[/tex] = 0                (Equation-2)

In the above equation the term [tex]\frac{dh}{dt}[/tex] is the rate at which top of ladder slides down and [tex]\frac{db}{dt}[/tex] is the rate at which bottom of ladder slides away.

Let us assume,

h = 3 ft and db/dt = 3 ft/s

We can substitute values in equation-1,

[tex]3^{2} +b^{2}[/tex] = 81

9 + [tex]b^{2}[/tex] = 81

[tex]b^{2}[/tex] = 81-9

[tex]b^{2}[/tex] = 72

b = [tex]\sqrt{72}[/tex]

b = 8.48 ft

Now, plug in all the given values in equation (2) and solve for [tex]\frac{dh}{dt}[/tex]

3*[tex]\frac{dh}{dt}[/tex] + 8.48 * 3 = 0

3*[tex]\frac{dh}{dt}[/tex] + 25.44 = 0

3*[tex]\frac{dh}{dt}[/tex] = - 25.44

[tex]\frac{dh}{dt}[/tex] = -25.44/3

[tex]\frac{dh}{dt}[/tex] = - 8.48 ft/s

Therefore,

The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

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The stopping distance table and the analysis of the stopping distance are presented as follows;

1. The stopping distance calculator, an online tool, provides the stopping distance at a specified speed as presented in the table on the following sections.

2. Increasing the vehicle speed by 10 mph, increases the required stopping distance exponentially, which reduces the safety of driving

The stopping distance is the distance traveled by a vehicle, which is the sum of the distance traveled during the reaction time and the distance traveled during braking (the braking distance)

The table in the question using a perception–reaction time of 2.5 seconds, and the online stopping distance calculator is completed as follows;

Speed (mph)       [tex]{}[/tex] Speed (m/s)        Stopping Distance (m)

60 mph [tex]{}[/tex]                 26.82 m/s           119.55 m

50 mph  [tex]{}[/tex]                22.35 m/s           92.34 m

40 mph  [tex]{}[/tex]                17.88 m/s            68.05 m

30 mph   [tex]{}[/tex]               13.41 m/s             46.665 m

20 mph [tex]{}[/tex]                 8.94 m/s             28.197 m

10 mph [tex]{}[/tex]                  4.47 m/s             12.642 m

2. The details from the above table indicates that as the speed increases, the stopping distance increases exponentially, such that increasing the speed by 10 mph increases the required stopping distance when the vehicle is moving at an already high speed, thereby reducing safety by increasing the speed by 10 mph.

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When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. An illustration of arithmetic growth is the ongoing elongation of roots. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.

Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.

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The correct option is b) ii only

From the given data we can construct confidence interval. So, the statement that we are 95% confident that the average rent for students at the university is between $ 564 and $664 is true.

What is meant by distribution?

The methodical effort to account for how the owners of the labor, capital, and land inputs divide the country's income. Rent, wages, and profit margins have historically been the focus of economists' research into how these expenses and margins are set.

What are the 3 types of distribution?

The Three Types of Distribution

What are the 5 factors of distribution?

Market, Product, Company, Channel, and Environment Related Factors are 5 Important Factors Affecting Distribution Channel Selection. The distribution of goods can be done through a variety of routes.

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Inequality for each part be

a) x + 12 ≤ -8

b)  x - 8 > 12

c) x + 8 < 12

What do you mean by inequality?

In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size.

The notation a < b means that a is less than b.

The notation a > b means that a is greater than b.

Let the number be x

According to the question:

a) The sum of a number and 12 is at most -8.

inequality become:

x + 12 ≤ -8

b) A number increased by -8 is greater than 12

inequality become:

x + (-8) > 12

⇒ x - 8 > 12

c)  -8 less than a number is no more than 12

x - (-8) < 12

⇒ x + 8 < 12

Therefore, inequality for each part be

a) x + 12 ≤ -8

b)  x - 8 > 12

c) x + 8 < 12

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The value of the c in the function c = 19m - 15 when m=10 is 175.

A relationship between a number of inputs and outputs is termed a function. In a function, which is an association of inputs, each input is associated to exactly one output. Each function has a domain, range, and co-domain.

Given the function;

c = 19m - 15,

where m represents the number of months and c represents the total number of car sent to New York.

To find the value of c:

when m = 10,

Substitute the value of m to the function;

c = 19 (10) - 15

c = 190 - 15

c = 175.

Therefore, the value of c is 175.

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The value of the equation h(x) = -5x-4 is - 19 when h = (3).

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

As in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the equation we have is:

h(x) = -5x-4

Now, solve the equation when h = (3)

h(x) = -5x-4

h(3) = -5(3) -4

h(3) = -15 - 4

h(3) = - 19

Therefore, the value of the equation h(x) = -5x-4 is - 19 when h = (3).

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Interest is the price you pay to borrow money or the cost you charge to lend money.

To find the difference of 310 and 285, subtract 310 from 285. This will give you the added interest cost.

310-285 = 25

So, Polly will pay $25 in interest.

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The critical value that corresponds to a confidence interval of 95.9% is 1.99.

The distribution of the sample mean will be roughly normally distributed, according to the Central Limit Theorem, if we have an unknown population with a mean and standard deviation and adequately small random samples (n < 30) are chosen from the population with replacement.

Then, the mean of the sample means is given by,

μ(x) = μ

And the standard deviation of the sample means is given by,

σ = σ / [tex]\sqrt{n}[/tex]

In this case the sample selected is of size, n = 7.

As the sample size n = 7 < 30, the sampling distribution of sample mean will be approximately normal.

So, a z-interval will be used to estimate the population mean.

The confidence level is, 95.9%.

The value of α is:

∝ = 1 - confidence level

∝ = 1 - 0.959

∝ = 0.041

The critical value is:

[tex]z_{\frac{∝ }{2} }[/tex] =  [tex]z_{\frac{0.041}{2} }[/tex]

[tex]z_{\frac{∝ }{2} }[/tex] = [tex]z_{0.0205}[/tex]

[tex]z_{\frac{∝ }{2} }[/tex] = -1.99

[tex]z_{1-∝/2}[/tex] = 1.99

Use a z-table.

Therefore,

The critical value that corresponds to a confidence interval of 95.9% is 1.99.

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The solution is written in Python

The given problem can be solved by using the rand() function that generates a random number over the range [0, RAND_MAX] and with the help of the value returned by this function, any number in any range [L, R] can be generated as (rand() % (R – L + 1)) + L. Follow the steps below to solve the problem:

Initialize an empty string, say S.

Iterate over the range [0, N – 1] and perform the following steps:

Store a random number in the range [0, 1] using rand() function.

Append the randomly generated 0 or 1 to the end of the string S.

After completing the above steps, print the string S as the resulting binary string.

This binary is to hold the binary string.

Next, we declare variable decimal, quotient and remainder (Line 2-4). We assign a test value 13 to decimal variable and then get the first quotient by dividing decimal with 2 (Line 3). Then we get the remainder by using modulus operator, % (Line 4). The first remainder will be the first digit joined with the binary string (Line 5).  

We need to repeat the process from Line 3-5 to get the following binary digits. Therefore create a while loop (Line 7) and set a condition that if quotient is bigger than 0 we keep dividing decimal by 2 and calculate the quotient and remainder and use the remainder as a binary digit and join it with binary string from the front (Line 9-11).

At last, we print the binary to terminal (Line 13).

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Answer:

58

Step-by-step explanation:

There are 5 lines between 50 and 60

60 - 50 = 10

10 / 5 = 2

This means that each increment is 2.

We see the end of the box plot is above the fourth increment above 50.

4 x 2 = 8

50 + 8 = 58

percentage rate increase by 206%

What is exponential growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases with time.

Consider a population of mice that increases exponentially every year by a factor of two, starting with 2 in the first year and increasing to 4 in the second, 8 in the third, 16 in the fourth, and so on. The population is rising by a factor of 2 per year in this example. If mice gave birth to four pups instead, you would then have 4, 16, 64, and 256.

Linear growth, which is additive, and geometric growth can be contrasted with exponential growth, which is multiplicative (which is raised to a power).

This equation represents exponential growth because the base is greater than 1, the function represents growth and  Whenever the base is less than 1, the function represents decay.

The base 1.06 is greater than 1, hence The equation represents exponential growth.

The formula for exponential growth:

[tex]y=a(1+r)^{x}[/tex]

where,

f(x) = exponential growth function

a = initial amount

r = growth rate

x = number of time intervals

In this case, [tex]r=1.06+1 = 2.06[/tex]

which represents percentage rate increase by 206%

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a. [tex]\frac{dy}{dx} \ at \ x=0 \ is \ c.[/tex]

b.  [tex]\frac{dy}{dx} \at x=-L \ is \ 3aL^2+2bL+c.[/tex]

a. The derivative of a cubic function

[tex]y=ax^3+bx^2+cx+d[/tex]  is  [tex]y'=3ax^2+2bx+c[/tex].

Plugging in x=0, we get y'=c. Thus, [tex]\frac{dy}{dx}[/tex] at x=0 is c.

b. Plugging in x=-L, we get [tex]y'=3a(-L)^2+2b(-L)+c[/tex].

Thus, [tex]\frac{dy}{dx}[/tex] at [tex]x=-L \ is\ 3a(-L)^2+2b(-L)+c.[/tex]

A derivative is a financial instrument that derives its value from an underlying asset. It is a contract between two or more parties that specifies conditions (such as the date, price, and quantity of the underlying asset) under which payments, or payoffs, are to be made between the parties. Derivatives can be used for a variety of purposes, such as hedging risk or speculating on the future price of an asset.

A function is a mathematical relation between two sets of numbers that assigns each element in one set to exactly one element in the other set. For example, the function f(x) = 2x+3 assigns each real number x to the real number 2x+3

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Manuel's argument is correct on why the volume of cone W and  square pyramid are related . Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

on the other hand ,

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm.

Manuel's argument is correct on why the volume of cone W and  square pyramid are related . Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

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The leftover after dividing 102 by 5 is the quotient, which is:

Quotient 20

Remainder 2

102 5: Quotient and Remainder

The quotient and remainder method is one way to determine the quotient and remainder of a division. The dividend (102) and the divisor are already known to us (5). Now, we need to determine the residual and the quotient:

The Quotient and Remainder procedure is as follows:

20 quotient, 5 | 102 dividend, -10 2, and a reminder

As can be seen:

The remainder is 2, while the quotient is 20.

Sometimes, the remaining part is referred to as the "modulo," or simply "mod." This notation is used to say that:

102 mod 5 = 2

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The rational zeros of the function can be found using the Rational Zero Theorem. The possible rational zeros of the function are ±1, ±5, ±1/7, ±5/7.

Zeros:

x=-5, -1/7, 0, 1, 5

The Rational Zero Theorem states that if a polynomial function of degree n has integer coefficients, then the possible rational zeros of the function will be of the form ±p/q, where q is a factor of the leading coefficient and p is a factor of the constant term.

In this case, the degree of the polynomial is 4, which means that the leading coefficient is 7 and the constant term is 5. Thus, the possible rational zeros of the function will be of the form ±p/q, where p is a factor of 5 and q is a factor of 7. The factors of 5 are ±1 and ±5, and the factors of 7 are ±1 and ±7. This means that the possible rational zeros of the function are ±1, ±5, ±1/7, and ±5/7.

To find the zeros of the function, we can use the rational zeros we found and plug them into the original equation. We can then solve for the zeros and find that the zeros of the function are x=-5, -1/7, 0, 1, 5.

x=-5: 7(-5)^4 +27(-5)^3 -40(-5)^2 +(-5) +5= 0

x=-1/7: 7(-1/7)^4 +27(-1/7)^3 -40(-1/7)^2 +(-1/7) +5= 0

x=0: 7(0)^4 +27(0)^3 -40(0)^2 +(0) +5= 0

x=1: 7(1)^4 +27(1)^3 -40(1)^2 +(1) +5= 0

x=5: 7(5)^4 +27(5)^3 -40(5)^2 +(5) +5= 0

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