The cost of a soft drink varies directly with the number of ounces you buy. If 12 ounces cost $0. 80,how many ounces of the soft drink could you buy for $2. 40? *.

Answer:

100

Step-by-step explanation:

4y squared=4(-5)^2

=4(25)

=100

If y = -5, the value of the given 4y squared is equal to 100.

To work out the value of 4y² when y = -5, we substitute -5 into the expression for y.

First, we square -5:

(-5)² = (-5) * (-5) = 25

Now, we multiply the result by 4:

4 * 25 = 100

Therefore, when y is equal to -5, the value of 4y² is 100.

To calculate this, we first squared -5 to get 25. Then, we multiplied the result by 4 to get the final value of 100.

So, when y is -5, the expression 4y² evaluates to 100.

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Answer:

A. 14

B. $2.10

C. $10.50

Answer:

15 it's in the equation

Step-by-step explanation:

11x-2x=9x  9x-9x=0

7+8=15

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Answer:

Let's solve your equation step-by-step.

11x − 2x + 15 = 8 + 7 + 9x

Step 1:

Simplify both sides of the equation.

11x − 2x + 15 = 8 + 7 + 9x

11x + −2x + 15 = 8 + 7 + 9x

( 11x + −2x ) + ( 15 ) = ( 9x ) + ( 8 + 7 )

( Combine Like Terms )

9x + 15 = 9x + 15

9x + 15 = 9x + 15

Step 2:

Subtract 9x from both sides.

9x + 15 − 9x = 9x + 15 − 9x

15 = 15

Step 3:

Subtract 15 from both sides.

15 − 15 = 15 − 15

0 = 0

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

your monthly student loan payment would be approximately $394.05.

it will take approximately 7.66 years for your savings to reach $7,225 when invested in a certificate of deposit with an APR of 0.60%, compounded monthly.

To calculate the monthly student loan payments, we can use the loan amortization formula:

P = (r * A) / (1 - (1 + r)^(-n))

Where:

P = Monthly payment

A = Loan amount

r = Monthly interest rate

n = Total number of payments

First, let's calculate the monthly interest rate for the student loan. The annual percentage rate (APR) is 4%, so the monthly interest rate is (4% / 12) = 0.33333% or 0.0033333 in decimal form.

Using the given values:

A = $39,000

r = 0.0033333 (monthly interest rate)

n = 10 years * 12 months/year = 120 months

Plugging these values into the formula, we can calculate the monthly student loan payments:

P = (0.0033333 * $39,000) / (1 - (1 + 0.0033333)^(-120))

P ≈ $394.05

Therefore, your monthly student loan payment would be approximately $394.05.

Now let's calculate the time it will take for your savings to reach $7,225 when invested in a certificate of deposit (CD) with an annual percentage rate (APR) of 0.60%, compounded monthly.

We can use the compound interest formula:

A = P * (1 + r/n)^(n*t)

Where:

A = Final amount (target)

P = Initial amount (savings)

r = Annual interest rate

n = Number of compounding periods per year

t = Time in years

Using the given values:

A = $7,225

P = $6,900

r = 0.60% or 0.006 in decimal form

n = 12 (compounded monthly)

Let's solve for t:

$7,225 = $6,900 * (1 + 0.006/12)^(12*t)

Divide both sides by $6,900:

1.047826086957 = (1.0005)^(12*t)

Take the natural logarithm of both sides:

ln(1.047826086957) = ln((1.0005)^(12*t))

Apply the property of logarithms:

12*t * ln(1.0005) = ln(1.047826086957)

Now divide both sides by 12 * ln(1.0005):

t ≈ ln(1.047826086957) / (12 * ln(1.0005))

Using a calculator, we find:

t ≈ 7.66 years

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Answer: A. (It’s 25)

Step-by-step explanation:

Step-by-step explanation:

uhm basically for diameter you multiply radius, for radius you divide diameter by 2 and circumference is radius times 2pi or diameter times pi

The method that was used to arrive at the approximate population probability is called; a reasonable statistical generalization

Statistical generalization is a concept that involves inferring the results from a sample and applying it to a population. Carrying out this means that the sample must be selected randomly and be representative of the population.

Now, in this case, we see that the sample gave a probability of 68% to represent those were in favor of legalizing recreational marijuana use.

Now, since the conclusion was approximated to 70% to reflect the probability of the population then we can say that a reasonable statistical generalization was utilized.

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Given :

Diameter of pizza , \(D=10\dfrac{1}{3}=\dfrac{31}{3}\) .

To Find :

Is square box of size equal to diameter big enough to fit pizza inside it .

Solution :

Area of pizza :

\(A_p=\pi(\dfrac{D}{2})^2\\\\A_p=\pi\times (\dfrac{31}{3\times 2})^2\\\\A_p=83.86\ inch^2\)

Area of square with side equal to diameter :

\(A_s=D^2\\\\A_s=(\dfrac{31}{3})^2\\\\A_s=106.78\ inch^2\)

Since , the area of square is more than area of pizza .

Therefore , pizza can easily be fitted .

Hence , this is the required solution .

The gradient of the function f(x, y) = x²y² - xy can be found by taking the partial derivatives with respect to x and y.

(a)The gradient of f at (2, 1) is (-6, 8).

To find the gradient, we take the partial derivative of f with respect to x and y separately.

∂f/∂x = 2xy² - y

∂f/∂y = 2x²y - x

Plugging in the values x = 2 and y = 1, we have:

∂f/∂x = 2(2)(1)² - 1 = 4 - 1 = 3

∂f/∂y = 2(2)²(1) - 2 = 8 - 2 = 6

Therefore, the gradient of f at (2, 1) is (∂f/∂x, ∂f/∂y) = (3, 6).

The directional derivative of f at (2, 1) in the direction of -i + 3j is 18.

To find the directional derivative, we need to compute the dot product between the gradient of f and the unit vector in the given direction.

The unit vector in the direction of -i + 3j is (-1/√10, 3/√10).

Taking the dot product of the gradient (-6, 8) and the unit vector (-1/√10, 3/√10), we get:

(-6, 8) · (-1/√10, 3/√10) = -6(-1/√10) + 8(3/√10) = 6/√10 + 24/√10 = 30/√10 = 18

Therefore, the directional derivative of f at (2, 1) in the direction of -i + 3j is 18.

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When it tells us to write in the simplest terms, that means to combine like terms!

For example,

4x and 2x are like terms

and 9 and 7 are like terms!

---

let's combine them!

(-4x) + (-2x) = -6x

(-9) + (-7) = -16

When we put these two terms together, we get the answer ...

-6x - 16

----

Hope I helped! Comment if you have any questions about my answer!

-Gabby5792

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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The slope of a line refers to the measure of the steepness of a line. It indicates the rate of change of the vertical value (y) concerning the horizontal value (x). The slope of a line is represented by the letter m and is calculated as follows: m = change in y / change in x.

It can also be represented as the ratio of the vertical and horizontal distances between two points on a line. The following are some methods for determining the slope of a line:

1. Rise over Run Method This is a straightforward technique for determining the slope of a line. It involves identifying two points on the line and calculating the ratio of the difference between their y-coordinates (rise) to the difference between their x-coordinates (run). This is represented mathematically as follows: m = (y2 - y1) / (x2 - x1)

2. Slope Intercept Form Method The slope intercept form is y = mx + b, where m is the slope of the line, b is the y-intercept, and x and y are the coordinates on the line. The slope intercept form is particularly useful for determining the slope of a line given its equation. All that is required is to rearrange the equation to isolate m, giving m = y2 - y1 / x2 - x1.

3. Point-Slope Form Method The point-slope form is y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is any point on the line. This method is used to determine the slope of a line using its equation and a point on the line. All that is needed is to rearrange the equation to isolate m, which yields m = y - y1 / x - x1.

In conclusion, the slope of a line can be calculated using different techniques, including the rise over run method, the slope intercept form method, and the point-slope form method. Each method is useful for different situations and requires different inputs, but they all yield the same result, which is the measure of the steepness of a line.

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The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

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This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.

The one which is not representing an example of a product's tangible feature is brand equity.

The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.

By exclusively selling C-Ice at health food stores,

The company creates a selective distribution channel that positions the product as a specialized and premium offering.

This limited availability enhances the perception of exclusivity.

And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.

Brand equity is not an example of a product's tangible feature.

Brand equity refers to the intangible value and perception associated with a brand,

Such as its reputation, customer loyalty, and brand recognition.

Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.

Examples of tangible features include packaging, color, weight, and size.

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The inverse function theorem states that if f is a differentiable function with a nonzero derivative at a point x, then there exists a neighborhood of x where f is invertible and the inverse function g is also differentiable.

If f has k continuous derivatives, then we can apply the theorem k times to obtain a neighborhood of x where f is k times differentiable and invertible with a k times differentiable inverse function g. To show that g also has k continuous derivatives, we can use induction.

For k = 1, we know that g'(y) exists and is continuous by the inverse function theorem. Now assume that g has k continuous derivatives, and let's show that g has (k+1) continuous derivatives. By the chain rule, we have (g o f)(x) = x, which implies that (g' o f)(x) f'(x) = 1. Differentiating both sides with respect to x, we get (g'' o f)(x) f'(x)^2 + (g' o f)(x) f''(x) = 0. Solving for (g'' o f)(x), we obtain (g'' o f)(x) = - (g' o f)(x) f''(x) / f'(x)^2.

Since f has k continuous derivatives, we know that f'' is continuous. By the induction hypothesis, g' o f has k continuous derivatives. Since f' is nonzero, we know that f' is continuous and hence 1/f'(x)^2 is also continuous. Therefore, (g'' o f) is continuous as a product of continuous functions, and g has (k+1) continuous derivatives.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

(x + 2)

Step-by-step explanation:

x² - 8x - 20

consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)

the factors are - 10 and + 2 , since

- 10 × + 2 = - 20 and - 10 + 2 = - 8 , then

x² - 8x - 20 = (x - 10)(x + 2)

Answer:

(×+ 2)

Step-by-step explanation:

just did that trust me

The system of the equation that has only one solution is \rm 5x-4y=8 and  3x+2y=8.

We have to determine;

Which system of equations has exactly one solution?

According to the question

A  system of linear equations can have one solution if there is a single point that makes every equation in the system true.  This means that there is one point that can satisfy all of the equations at the same time.

The system of equations has exactly one solution is;

\(\rm 5x-4y=8\\\\ 3x+2y=8\)

From equation 1

\(\rm 5x-4y=8\\\\ 5x = 8+4y \\\\x = \dfrac{8+4y}{5}\)

Substitute the value of x in equation 2

\(\rm3x+2y=8\\\\3(\dfrac{8+4y}{5})+2y=8\\\\\dfrac{24+12y}{5}+2y=8\\\\24+12y+10y=8\times5\\\\24 + 22y = 40\\\\22y = 40-24\\\\22y = 16\\\\y = \dfrac{16}{22}\\\\y = \dfrac{8}{11}\\\\\)

Substitute the value of b in equation 1,

\(\rm 3x+2y=8\\\\3x + 2\dfrac{8}{11}=8\\\\3x = 8 - \dfrac{16}{11}\\\\3x = \dfrac{88-6}{11}\\\\x = \dfrac{82}{33}\)

Hence, the system of equation that has only one solution is \rm 5x-4y=8 and  3x+2y=8.

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Answer:

24=4 ten

27=7 ten

Step-by-step explanation:

The current yield on this bond is 6.49%.

A bond's yearly interest payment, market price, and par value must be known in order to determine the bond's current yield.

In this question, we are given that the bond pays an annual interest of $60, has a par value of $1,000, and is selling at a $75.25 discount from par value.

So, the market price of the bond is the par value minus the discount, which is \($ 1,000\) - \($75.25\) \(= $924.75.\)

To calculate the current yield, we use the formula:

Current Yield \(=\) (Annual Interest Payment / Current Market Price) x 100%

With our current values substituted, we obtain:

Current Yield \(= ($60 / $924.75) × 100%\)

Current Yield \(= 0.0649 × 100%\)

Current Yield \(= 6.49%\)%

Therefore, (B) 6.49% is the right response.

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Answer: suckkkkkkkdbejehejjssjsj

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

just trust me

If a candy bar cost 95 cents which is 19 times the price of a piece of hard candy, then the price of hard candy is 5 cents

The cost of a candy bar = 95 cents

The cost of the candy bar is 19 times the price of a piece of hard candy

Assume that the cost of one hard candy is x

Then the equation will be

The cost of hard candy × 19 = The cost of a candy bar

Substitute the values in the equation

x × 19 = 95

Move the 19 to the right hand side of the equation

x = 95 / 19

Use the division

x = 5 cent

Therefore, the price of hard candy is 5 cent

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9514 1404 393

Answer:

  y > 1/2x + 2

Step-by-step explanation:

The points shown on the line are separated by a "rise" of 1 unit vertically, and a "run" of 2 units horizontally. Its slope is rise/run = 1/2.

The line crosses the y-axis at y=2, so the y-intercept is 2.

The boundary line is then ...

  y = mx + b . . . . . . . where the slope is m and the y-intercept is b

  y = 1/2x + 2 . . . . . . the equation of the boundary line

__

The line is dashed, and the shaded area is above the line, where y-values are greater than the y-value on the line. Then the y-values on the line are NOT included in the solution set. The inequality is ...

  y > 1/2x + 2

Measures of dispersion are used to indicate the spread or variability of the data.

Measures of dispersion are crucial for representing the spread of the data, or its fluctuation around a central value, whereas measures of central tendency are used to assess a dataset's "normal" values.

The four main measure of dispersion include

The range in statistics refers to the distribution of data between the lowest and greatest value in the distribution. It is a widely used indicator of variation.

The standard deviation deals with how much the data is away from the mean

The variance is standard deviation squared

These measures the spread, variability or distribution of data

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the slope of the graph is 3 and the y-intercept is -27. This means that the graph crosses the y-axis at the point (0,-27).

Answer:

y = -3x - 27

Step-by-step explanation:

9x - 3y = 81

-3y = 9x + 81

-3y/3 = 9x/3 + 81/3

-y = 3x + 27

y = -3x - 27

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating