A 3 fl oz bottle of orange juice costs $21 and a 6 fl oz. bottle of orange juice
costs $36. Which is a better buy?

Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure comprises of a square with side of 4 1/2 ft and two parallelograms with base of 4 1/2 ft and height of 1 1/2 ft

Total area is:

Correct option is D

Answer: the  correct answer is d

Step-by-step explanation: make me a brainlest

Answer:

first you need to divide -1.8 from both sides so that would end up like this :

n=30

Step-by-step explanation:

The given series diverges by both the Comparison Test and the Limit Comparison Test.

To determine whether the series ∑ [(n+8)(n+9)/n!] converges absolutely or diverges, we will use the Ratio Test.

The Ratio Test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely.

If the limit is greater than 1, the series diverges, and if the limit is exactly 1, the test is inconclusive.

So, let's apply the Ratio Test to the given series:

|[(n+9)(n+10)/(n+1)!] / [(n+8)(n+9)/n!]| = |(n+9)(n+10)/(n+1)(n+8)|

As n approaches infinity, the absolute value of this ratio approaches 1/1 = 1. Therefore, the Ratio Test is inconclusive.

We can also see that:

(n+9)(n+10)/(n+1)(n+8) > (n+9)/n

Therefore, the series cannot converge absolutely by the Comparison Test, since the harmonic series ∑(1/n) diverges.

However, we can try to use the Limit Comparison Test to determine if the series converges or diverges.

Let's compare the given series with the series ∑(1/n) by taking the limit as n approaches infinity of the ratio of the two series:

lim[(n+8)(n+9)/n!] / (1/n) = lim[(n+8)(n+9)/n] = ∞

Since this limit is infinite, the Limit Comparison Test implies that the series ∑[(n+8)(n+9)/n!] also diverges.

Therefore, the given series diverges by both the Comparison Test and the Limit Comparison Test.

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Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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Answer:

680

Step-by-step explanation:

Jose's income in 2hours = $34

in 1 hour = 34 divide by 2 = 17

income made in 40 hours = 17 multiplied by 40 = $680

60 ounces of herbs costing $1 per ounce should be mixed with these 40 oz of herbs to produce a mixture costing $2. 20 per ounce

Let x be the amount of herb that costs $1.00/oz and y be the total amount of the mixture that costs $2.20/oz.

The total weight of the mixture is:

= y=x+40

The total cost of the mixture is:

4(40) + 1x = 2.20y

160 + x = 2.20 (x + 40) .......Substitute y using the expression from the first equation

160 + x = 2.20x + 88 .........Subtract 160 and x from both sides

1.20x = 72 .........Divide both sides by 1.20

x = 60

The herbalist must mix 60 oz of the herb that costs $1.00/oz to the mixture, therefore we can say that:

60 ounces of herbs costing $1 per ounce should be mixed with these 40 oz of herbs to produce a mixture costing $2. 20 per ounce

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Answer:

Step-by-step explanation:175.42x .20=35.08  35.08Divided by 11=3.19

so each would pay 3.19 tip

total each would pay for bill would be 175.42+35.08=210.50

210.50divided by 11 =19.14

No, you are supposed to do them at the same time. You need to go in whatever order they are in from left to right.

Answer:

36

Step-by-step explanation:

This is a 30, 60 90 triangle, which means that there is a ration for calculating each side.

The probability of picking a prime or a divisor of 24 from the given cards is ¾

By analysing the given cards which ones are prime or a divisor of 24.
1. Prime number = 7
2. Divisor of 24 = 6,8

There are 2 cards (6 and 8) that are divisors of 24 and one card (7) that is prime. This means 3 cards out of the 4 meet the criteria.

To find the probability of this event, we can use:

P(prime or divisor of 24) =    

  Number of outcomes that make an event  

  Total number of outcomes of the experiment                      

P(prime or divisor of 24) = ¾

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the answer would be forty nine

The graph that does not represents a proportional relationship is: A (see image attached below).

A proportional relationship has a constant, which is uniform and is defined in the equation y = kx, as k. This means a relationship that is proportionate will have an equation in that form.

For a proportional graph, the line must pass through the point of origin which is denoted by the ordered pair, (0, 0).

Therefore, from the options given, the option B represents a proportional relationship because it contains (0, 0), while option C and D takes the form of y = kx.

Therefore, option A does not represent a proportional relationship.

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The standard deviation of the investment is option (d) 8.43%

To calculate the standard deviation of this investment, we need to first calculate the expected rate of return

Expected rate of return = (0.4 x 15%) + (0.5 x 10%) + (0.1 x -3%)

= 6% + 5% - 0.3%

= 10.7%

Next, we need to calculate the variance of the investment:

Variance = (0.4 x (15% - 10.7%)^2) + (0.5 x (10% - 10.7%)^2) + (0.1 x (-3% - 10.7%)^2)

= 0.00744

Finally, we can calculate the standard deviation by taking the square root of the variance

Standard deviation = √(0.00744)

= 0.08626

= 8.43%

Therefore, the correct option is (d) 8.43%

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There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

---------------------------------

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

---------------------------------

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

-----------------------------------

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

Answer:

Two polygons are similar with factor k.

=> The ratio between the area of two polygons: r = k^2

=> Here, the area of polygon B is larger than polygon A: 5^2 = 25 times

Hope this helps!

:)

Answer:

Area of polygon B is larger than the area of Polygon A by 25 times.

Step-by-step explanation:

The simplest way of finding this would be to draw a rough image of polygon A and B.

Let's say you drew Polygon A and B as rectangles. Since the scale factor is 5, the dimensions of the sides of polygon B would be 5 times as that of the dimensions of polygon A.

if you label the dimensions of Polygon A as length 2cm and width as 1cm, its area would be 2 square centimetres.

now keeping the scale factor of 5 in mind, multiply the length and the width by 5. you will get the length of polygon B as 10cm and width as 5cm. the area of polygon B becomes 50 square centimetres.

once you have done this, you will realise that the area of polygon B is 25 times the area of polygon A.

Hope this helped:)

Answer:

therefore the population of the culture is 2313

The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that π radian = 180°.

1° = (π/180) radian.

Multiply both sides by 310

310° = (π/180)310

310° = (31/18)π

Hence "The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π".

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From the graph, we have the amount of water (in liters) on the y-axis and the time (in minutes) on the x-axis

a)

To obtain the amount of water at zero minutes, we will trace the y-value that corresponds with the value of zero on the x-axis: we will see this to be 270 liters

Therefore, at time zero minutes, the amount of water is 270 liters

b)

We will answer this by picking two points that lie along the straight line and calculate the slope. We pick the points:

We will proceed to calculate the slope as shown below:

The slope is -90 liters per minute.

The negative sign (-) means that as time increases, the amount of water in the aquarium decreases

The water decreases at a rate of 90 liters per minute

Answer: 471.238898359 Or when rounded, 471.2

Step-by-step explanation:

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

The probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover is 3/32.

The required probability is determined as follows:

Total number of books = 5 (blue) + 6 (red) + 1 (orange) + 3 (white) + 1 (blue and white) = 16

The total number of books with blue on their cover is 5 + 1 = 6.

The total number of books with white on their cover is 3 + 1 = 4.

The probability of choosing a blue book on the first draw is 6/16.

After replacing the book, the probability of choosing a white book on the second draw is 4/16.

The overall probability of the two independent events is:

Probability = (6/16) * (4/16) = 24/256

Probability = 3/32

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Complete question:

A shelf has books with different-colored covers; 5 are blue, 6 are red, 1 is orange, 3 are white, and 1 is blue and white.

What is the probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover?

The function will have a value of 0 at x = 1. In that case, the variable "k" will have a value of 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

Given f(x) = 3x³ + kx – 5, and the factor of the given function is (x – 1).

If the factor (x – 1) is zero. Then the value of the function will be zero.

x – 1 = 0

x = 1

At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be calculated as,

f(1) = 3(1)³ + k(1) – 5

0 = 3 + k – 5

k = 5 – 3

k = 2

The function's value will be 0 at x = 1. The variable "k" will then have a value of 2.

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Answer:

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

Step-by-step explanation:

The discriminant of the quadratic equation g is negative.

In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.

When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).

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the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

From the question, we have the following parameters that can be used in our computation:

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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The derivative of the integral of a function f(t) over a variable interval [a, b] with respect to x is given by f(b) * db/dx - f(a) * da/dx.

Let's consider the first case, where we have the integral ∫[a,x] f(t) dt. According to the Fundamental Theorem of Calculus, the derivative of this integral with respect to x is simply f(x).

Therefore, d/dx ∫[a,x] f(t) dt = f(x).

Now, let's move on to the second case, where we have the integral ∫[a,b] f(t) dt. In this case, the interval [a, b] is variable, and we need to consider the derivatives of a and b with respect to x.

Applying the Chain Rule, we obtain

d/dx ∫[a,b] f(t) dt = f(b) * db/dx - f(a) * da/dx.

The derivative of b with respect to x, db/dx, represents the rate of change of the upper limit of integration. Similarly, the derivative of a with respect to x, da/dx, represents the rate of change of the lower limit of integration. By multiplying the difference in the function values f(b) - f(a) by their respective derivatives, we can determine the overall rate of change of the integral with respect to x.

Therefore, d/dx ∫[a,b] f(t) dt = f(b) * db/dx - f(a) * da/dx.

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The volume of the solid enclosed by the paraboloid z = \(x^2 + y^2\) and the sphere \(x^2 + y^2 + z^2 = 4\) is \((4/3)\pi(2^{(3/2)} - 1).\)

To solve this problem using cylindrical coordinates, we need to express both the paraboloid and the sphere in terms of cylindrical coordinates. The equation for the paraboloid is z = \(r^2\) (where r is the radial distance from the z-axis), and the equation for the sphere is \(r^2 + z^2 = 4.\)

Since the two surfaces intersect at z = \(r^2\) = 2, we need to find the range of r that corresponds to this height. Solving the equation\(r^2\) = 2, we get \(r = \sqrt(2).\)

Now we can set up the integral to find the volume:

V = ∫∫∫dV

where the triple integral is taken over the region enclosed by the paraboloid and the sphere, and dV is the volume element in cylindrical coordinates.

Using cylindrical coordinates, we have dV = r dr dθ dz. The limits of integration for the triple integral are:

0 ≤ θ ≤ 2π
0 ≤ r ≤ \(\sqrt(2)\)
\(r^2\) ≤ z ≤ \(\sqrt(4 - r^2)\)

(Note that the upper limit for z is determined by the equation of the sphere.)

Thus, the volume is given by:

V = ∫\(0^{2\pi\) ∫\(0^\sqrt(2)\) ∫\(r^2^{\sqrt(4-r^2)\) r dz dr dθ

Evaluating this integral, we get:

V = \((4/3)\pi(2^{(3/2)} - 1)\)

Therefore, the volume of the solid enclosed by the paraboloid z = \(x^2 + y^2\) and the sphere \(x^2 + y^2 + z^2 = 4\) using cylindrical coordinates is \((4/3)\pi(2^{(3/2)} - 1).\)

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Answer: y>3

Step-by-step explanation:where the line crosses the y axis is your answer