a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?

The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.

Volume of a pyramid is given as, V = 1/3 × a² × h, where:

a = side length of the square base

h = height of the pyramid

Given the following:

Perimeter of the base = 5.1 in.

Side length of the square base = 5.1/4

The height of the pyramid = 2.7 in.

Plug in the values into V = 1/3 × a² × h:

Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7

Volume of the square pyramid = 1/3 × 1.625625 × 2.7

Volume of the square pyramid = 1.4630625

Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).

Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.

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If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.

Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.

In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.

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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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The work done on a particle moving uniformly around the unit circle centered at the origin under a constant force field, f(x, y), is zero.

When a particle moves in a closed path, like a circle, the net work done by a conservative force field is always zero. In this case, the force field is constant, which means it does not change as the particle moves along the path. Since the work done by a constant force is given by the formula W = F * d * cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and the displacement vectors, we can see that the cosine of the angle will always be zero when the particle moves along the unit circle centered at the origin. This implies that the work done is zero. Thus, the work done on the particle is zero.

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Answer:

y^17

Step-by-step explanation:

y^12 x y^8 ÷ y^3 = y^20 ÷ y^3 which equals y^17

The binomial theorem can be used to find the coefficients in binomials. To find the coefficient of a particular term in a binomial expansion, we need to identify the term's degree and then use the binomial theorem formula to compute the coefficient. For example, to find the coefficient of x3y4 in (-3x 4y)7, we need to apply the binomial theorem formula.

The coefficient of x3y4 in (-3x 4y)7 is -35,280.

The coefficient of x2y7 in (5x - y)9 is -14,378,125.

The coefficient of x5y3 in (3x - 4y)8 is -6,443,200.

(a) To find the coefficient of x3y4 in (-3x 4y)7, we can use the binomial theorem formula:

(1) (-3x + 4y)7 = Σ(n=0 to 7) (7 C n) (-3x)n (4y)7-n

where (7 C n) represents the binomial coefficient for n, which can be computed using the formula:

(b) (7 C n) = 7! / n!(7 - n)!

We want to find the term with x3y4, so we need to look at the term where n = 4, since (7 - 4) = 3:

(3) (7 C 4) (-3x)4 (4y)3 = (7! / 4!3!) (-3)4 x4 (4)3 y3 = -35,280 x3y4

Therefore, the coefficient of x3y4 in (-3x 4y)7 is -35,280

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The total number of copper and plastic pipe that the plumber bought would be = 5 and 4 pipes respectively.

The length of copper pipe = 7m

The length of plastic pipe = 1m

The total piece of pipe he bought = 9

The total length of pipe = 39

For copper pipe;

= 7/8×39/1

= 273/8

= 34m

The number of pipe that are copper= 34/7 = 5 approximately

For plastic;

= 1/8× 39/1

= 4.88

The number of pipe that are plastic = 4 pipes.

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Answer:

1. Equal domain, range, interval of increase and lack of asymptotes

The difference is the difference in slope

2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes

The difference is the difference in the y-intercept

Step-by-step explanation:

1. The similarities between the functions, y = 5·x and y = 3·x are;

a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)

b.There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)

There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3

2.

The similarities between the functions, y = 4 and y = (2)  are;

a. The domain of y = 4 is the set of all real numbers (-∞; ∞), \(\left \{ x\mid x\in R \right \}\) and the range is {4}

b.There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 4)

Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), \(\left \{ x\mid x\in R \right \}\) and the range is {2}

There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 2)

The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and  the y-intercept of y = (2) is 2

Answer:

R(-4,-8) and T(-8,8)

Step-by-step explanation:

Answer:

A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.

Hope this helps!!! :D

9514 1404 393

Answer:

  f(x) = (x^2+2)/(x-1)

Step-by-step explanation:

In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.

One such could be ...

  f(x) = (x^2 +2)/(x -1)

__

The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.

Answer:

The y intercept should be 2 lower than the original equation

Step-by-step explanation:

Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

Answer:

1.954

Step-by-step explanation:

4 is the thousandth and we wouldn’t round up because of 1

Answer: 1.954

1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.

The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Answer: x=15

y=12

15x12=180

Step-by-step explanation:

Answer:

\(\frac{5(x-2)}{x+1}\)

Step-by-step explanation:

Answer:

\(\frac{5(x-2)}{x+1\\}\)

Step-by-step explanation: pls mark me brainliest if you think i am. i need it to level up!!

Answer:

1,600 dollars

Step-by-step explanation:

The easiest way to solve it is to find the dollar for 1 percent.

Since 480 accounts for 30% of the whole thing, we can do 480 divided by 30 to get 16 as 1 percent. This means that 16 times 100 percent would give us the total money spent, giving us 1,600 as our answer.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know \(x=-2\) is a root.

We can thus rewrite the equation as

\((x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2\)

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

To compare round trip times to the number of hops from a local host to the three hosts, www.tsinghua.edu.cn, www.usyd.edu.au and www.harvard.edu, we can measure the time it takes for the packet of data to make the round trip from the local host to each of the three remote hosts at different times of a day (e.g., morning, afternoon and evening). By doing this, we can observe how the round trip time and the number of hops are correlated at different times of a day. We can then compare the correlation with our expectations.

We can expect that the round trip time should increase with the number of hops and that the round trip time should be shorter in the morning when internet traffic is relatively light compared to the afternoon or evening when internet traffic is heavier.

By analyzing the results of the round trip time tests, we can determine if these expectations are correct. If the round trip time does increase with the number of hops, and if the round trip time is shorter in the morning compared to the afternoon or evening, then our expectations are correct.

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Among the following statements, the one that best describes a probability distribution is: A list of the outcomes of a random experiment and the probability of each outcome.

A probability distribution is a list of the possible outcomes of a random experiment and the probability of each outcome. It provides a complete description of the possible outcomes and their associated probabilities for an experiment. Probability distributions are used to calculate the likelihood of specific events occurring and to determine the expected value of a random variable.

It lists all possible outcomes of a random experiment and assigns a probability to each outcome. The probabilities assigned to each outcome must add up to 1.

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The decimal representation of the binary number 0xA80C is 43020.

The binary number 0xA80C can be interpreted as an unsigned number. Converting it to decimal, we have:

0xA80C = (10 * 16^3) + (8 * 16^2) + (0 * 16^1) + (12 * 16^0)

Simplifying this expression, we get:

0xA80C = (10 * 4096) + (8 * 256) + (0 * 16) + (12 * 1)

0xA80C = 40960 + 2048 + 0 + 12

0xA80C = 43020

Therefore, the decimal representation of the binary number 0xA80C is 43020.

In the conversion process, we used the hexadecimal system, where the base is 16. Each digit in the hexadecimal number corresponds to a power of 16. In this case, the digit 'A' represents the value 10 in decimal, '8' represents 8, '0' represents 0, and 'C' represents 12. We multiplied each digit by the corresponding power of 16 and summed them up to obtain the decimal equivalent.

The decimal representation of the binary number 0xA80C can also be expressed as a sum of terms with decimal numbers and exponents:

0xA80C = (10 * 16^3) + (8 * 16^2) + (0 * 16^1) + (12 * 16^0)

0xA80C = (10 * 4096) + (8 * 256) + (0 * 16) + (12 * 1)

0xA80C = 40960 + 2048 + 0 + 12

0xA80C = 43020

So, the decimal value of the binary number 0xA80C is 43020.

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The decimal representation of the binary number 0xA80C is 43020.

The binary number 0xA80C can be interpreted as an unsigned number. Converting it to decimal, we have:

0xA80C = (10 * 16^3) + (8 * 16^2) + (0 * 16^1) + (12 * 16^0)

Simplifying this expression, we get:

0xA80C = (10 * 4096) + (8 * 256) + (0 * 16) + (12 * 1)

0xA80C = 40960 + 2048 + 0 + 12

0xA80C = 43020

Therefore, the decimal representation of the binary number 0xA80C is 43020.

In the conversion process, we used the hexadecimal system, where the base is 16. Each digit in the hexadecimal number corresponds to a power of 16. In this case, the digit 'A' represents the value 10 in decimal, '8' represents 8, '0' represents 0, and 'C' represents 12. We multiplied each digit by the corresponding power of 16 and summed them up to obtain the decimal equivalent.

The decimal representation of the binary number 0xA80C can also be expressed as a sum of terms with decimal numbers and exponents:

0xA80C = (10 * 16^3) + (8 * 16^2) + (0 * 16^1) + (12 * 16^0)

0xA80C = (10 * 4096) + (8 * 256) + (0 * 16) + (12 * 1)

0xA80C = 40960 + 2048 + 0 + 12

0xA80C = 43020

So, the decimal value of the binary number 0xA80C is 43020.

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Answer:

-5

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

-15x + 20 + 4 = 69

-15x + 24 = 69

-15x = 69 - 24

-15x = 45

x = 45/-15

× = -3

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The ferret tent has six triangular faces and a regular hexagonal base.

The ferret tent shown is a frustum of a regular pyramid, and its faces have unique properties. A frustum is a solid with a flat base and a top portion that has been cut by a plane parallel to the base.

A frustum is the part of a solid that remains after the top portion has been cut by a plane parallel to the base. The term "frustum" is used to describe a cone or pyramid with its top portion removed by a plane parallel to the base.

The shape of the frustum is determined by the height of the plane that intersects the top portion of the solid and the height of the solid itself.

The shape of a frustum is determined by the size and shape of the base, the size and shape of the top surface, and the height of the frustum. The height of the frustum is the distance between the base and the top surface.

Describe the faces of the solid:

The ferret tent shown is a frustum of a regular pyramid. A pyramid is a polyhedron with a base that is a polygon and triangular faces that meet at a common vertex.

The ferret tent has a hexagonal base and six triangular faces. The base is a regular hexagon, meaning that all six sides are the same length, and all six angles are the same size.

The six triangular faces of the ferret tent are also congruent, which means they have the same shape and size. Each of the triangular faces has two sides that are congruent, and the base of each triangle is a side of the regular hexagon base.

In addition, the six triangular faces of the ferret tent have the same angle measures, which means they are similar. This makes the ferret tent a regular pyramid.

Thus, the ferret tent has six triangular faces and a regular hexagonal base. Its faces have unique properties.

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The percentage of the average yearly wage is 7.53%.

Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.

Percent = (amount spent on family holiday / total yearly wage) x 100

(1644 / 21842) x 100 = 7.53%

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