Elena is buying food for a school picnic and has $40.00 to spend on sandwiches.
She can buy 5 turkey sandwiches and 5 avocado sandwiches for $40.00, or she
can buy 6 turkey sandwiches and 3 avocado sandwiches for $39.00. Based on
the prices of these two options, what is the cost for 1 turkey sandwich and 2
avocado sandwiches?
$8.00

$11.00
$13.00
$16.00

The final temperature of the mixture, assuming no heat loss to the surroundings, is 312.47 K.

To calculate the final temperature of the mixture, we can use the principle of energy conservation, assuming no heat loss to the surroundings. The equation used is:

\(m_{1}\)\(c_{1}\)(\(T_{f}\)  - \(T_{1}\) ) = \(m_{2}\)\(c_{2}\) (\(T_{2}\) - \(T_{f}\) )

Where:

\(m_{1}\) = mass of the first sample (31.0 g)

\(c_{1}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{1}\) = initial temperature of the first sample (285 K)

\(T_{f}\) = final temperature of the mixture (unknown)

\(m_{2}\) = mass of the second sample (47.0 g)

\(c_{2}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{2}\) = initial temperature of the second sample (340 K)

Plugging in the values:

31.0* 4.18* (\(T_{f}\) - 285) = 47.0*4.18*(340 - \(T_{f}\) )

Now we can solve this equation for \(T_{f}\) :

31.0 * 4.18 * \(T_{f}\) - 31.0 * 4.18 * 285 = 47.0 * 4.18 * 340 - 47.0 * 4.18 * \(T_{f}\)

125.98 * \(T_{f}\) - 35793 = 65231.6 - 197.26 * \(T_{f}\)

323.24 * \(T_{f}\)  = 101024.6

\(T_{f}\)  = 312.47 K

Therefore, the final temperature of the mixture, assuming no heat loss to the surroundings, is approximately 312.47 K.

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Answer:

the change in the amount of time is 30 minutes

Step-by-step explanation:

The computation of the change in the amount of time is shown below

= Number of consecutive ways × number of  minutes more each day

= 6 days × 5 minutes

= 30 minutes

Hence, the change in the amount of time is 30 minutes

Therefore the correct option is D.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

37⁰

Step-by-step explanation:

180⁰ - 106⁰ =74⁰

74⁰ ÷ 2= 37⁰

The statement "If the auxiliary equation of a differential equation of order 2 has complex roots r₁ =2i and r₂ = -21, then the general solution is C₁e²ˣ+ + C₂e⁻²ˣ " is false.

If the auxiliary equation of a second-order linear homogeneous differential equation has complex roots, they appear in conjugate pairs. In this case, the complex roots are given as r₁ = 2i and r₂ = -21.

The general solution for a differential equation with complex roots can be written in the form:

y(x) =\(e^{ax}\) * (C₁ * cos(bx) + C₂ * sin(bx))

where a and b are the real and imaginary parts of the complex root, respectively.

For r₁ = 2i, the real part is 0, and the imaginary part is 2. Therefore, we have a = 0 and b = 2.

For r₂ = -21, the real part is -21, and the imaginary part is 0. Therefore, we have a = -21 and b = 0.

Plugging these values into the general solution formula, we get:

y(x) = \(e^{0x}\) * (C₁ * cos(2x) + C₂ * sin(2x)) + \(e^{-21x}\) * (C₃ * cos(0x) + C₄ * sin(0x))

Simplifying, we have:

y(x) = C₁ * cos(2x) + C₂ * sin(2x) + C₃ * \(e^{-21x}\)  + C₄

So the correct general solution would be:

y(x) = C₁ * cos(2x) + C₂ * sin(2x) + C₃ *  \(e^{-21x}\) + C₄

The given option of C₁e²ˣ+ + C₂e⁻²ˣ does not represent the correct general solution for the given differential equation.

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The sample to the expected frequencies under the null hypothesis, you can determine if there is evidence to support or reject the hypothesis.

a) To test the null hypothesis that the average of the box is 2, you would use:

i) the one-sample z-test

The one-sample z-test is used when testing a null hypothesis about the mean of a single population, given a sample from that population. In this case, you are testing the null hypothesis that the average of the box is 2, and you would compare the sample mean to 2 using the one-sample z-test.

b) To test the null hypothesis that the box is [1, 2, 3], you would use:

iii) the x2-test, with a null hypothesis that tells you the contents of the box

The chi-square (x2) test is used to test the independence or association between categorical variables. In this case, you are testing the null hypothesis that the box follows a specific distribution ([1, 2, 3]). By comparing the observed frequencies in the sample to the expected frequencies under the null hypothesis, you can determine if there is evidence to support or reject the hypothesis.

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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Answer:

Step-by-step explanation:

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer: \(x=7\)

Step-by-step explanation:

\(3^x=2187\\\\x=\log_{3} (2187)\\\\x=7\)

The percentage of all homeowners that own at least one dog is parameter.

Hence the correct option is (D).

Here Timothy wants to estimate the percentage of total homeowners that own at least one dog.

And for this he surveyed 100 randomly selected homeowners.

So here population of the total homeowners and sample is 100 homeowners who have been surveyed by Timothy.

Parameter is the percentage or measure of a component in a population and statistics is the percentage or measure of a component in the sample.

So here the percentage of 100 surveyed homeowners that own at least one dog is statistics and the percentage of all homeowners that own at least one dog is parameter. Hence the correct option is (D).

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The question is incomplete. The complete question will be -

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

It might be b i have no clue so dont exactly trust my awnser.

Step-by-step explanation:

I am taking the test right now and am also confused .

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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Answer: r= 5 1/4

Step-by-step explanation:

Answer:

D

I feel the graph speaks for itself. Hope I helped! :)

The square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

Square is a two-dimensional shape with four equal sides and four right angles. It is one of the most common shapes in geometry. Squares have many practical uses, such as in forming grids, creating patterns, and making tiling. Squares are also used in art and architecture, as well as in construction, mathematics, and science.
To solve this problem, we will use the formula for the volume of a rectangular box, V = lwh. We can substitute the given values to solve for x. First, we will find the length and width of the box after the square corners are cut out:

Length = 20 - 2x

Width = 14 - 2x

Now, substituting these values into the volume formula, we get:

288 = (20 - 2x)(14 - 2x)h

Expanding and simplifying, we get:

288 = 280 - 56x + 4x^2

Subtracting 280 from both sides, we get:

8 = -56x + 4x^2

Solving for x, we get:

4x^2 - 56x + 8 = 0

Using the quadratic equation, we get x = 2.4 or x = 0.4

Since x must represent a length, we can discard the negative solution, x = 0.4. Therefore, the square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

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You can find the radius of a circle using the equation 64/x = 210/360 by cross-multiplying, simplifying, solving for x, and then rounding to the desired number of decimal places. The radius you're looking for is 110 units.

To find the radius of a circle using the equation 64/x = 210/360, you can cross-multiply and simplify to solve for x. First, cross-multiply to get 360*64 = 210*x. Then, divide both sides by 210 to isolate x, giving you x = (360*64)/210. Finally, simplify by dividing and rounding to the desired number of decimal places, which will give you the radius of the circle. In this case, the radius is approximately 110.857, rounded to three decimal places.

To find the radius using the given information, we'll first set up a proportion. You've already started with the proportion 64/x = 210/360. Now, we need to solve for x, which represents the radius.

Step 1: Cross-multiply.
64 * 360 = 210 * x

Step 2: Simplify.
23040 = 210x

Step 3: Divide by 210.
23040 / 210 = x

Step 4: Calculate the value of x.
x = 110

So, the radius you're looking for is 110 units.

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The point farthest from the plane is (0, -31/3, 10/3).The point farthest from the plane is the one that lies on the intersection of the plane and the normal vector pointing in the direction of the center of the sphere.

In this case, the center of the sphere is at (0, 0, 10) and the normal vector of the plane is (1, 2, 0).

To find the point of intersection, we solve for x and y in terms of z from the equation of the sphere:

x^2 + y^2 = 10 - z

Substituting this into the equation of the plane, we get:

x + 2y + 72 = 0

Substituting x^2 + y^2 = 10 - z, we get:

10 - z + 2y + 72 = 0

Simplifying, we get:

y = (-z - 82)/2

Substituting y into x^2 + y^2 = 10 - z, we get:

x^2 + (-z - 82)^2/4 = 10 - z

To find the point farthest from the plane, we want to maximize z. Taking the derivative of the above equation with respect to z and setting it equal to zero, we get:

z = 10/3

Substituting this value of z back into the equations for x and y, we get:

x = 0, y = -31/3, z = 10/3

Therefore, the point farthest from the plane is (0, -31/3, 10/3).

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82 kg is equal to 180.77844 pounds and 2892.24704 ounces.

Weight is a measure of how heavy an object is, and it is typically measured in units such as pounds (lbs) and ounces (oz). The kilogram (kg) is also a unit of weight, and it is the base unit of mass in the International System of Units (SI).

To convert the pounds to ounces, we know that 1 pound is equal to 16 ounces. To get the ounces from pounds, we can multiply the pounds by 16, so 180.77844 pounds is equal to 2892.24704 ounces.

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Answer:

the slope is 1

Step-by-step explanation:

x1,y1=(3,-1)

x2,y2=(-3,-5)

\(m = y2 - y1 \div x2 - x1\)

-5--1/-3-3

-6/-6

m=-6/-6

simplify the fraction -1/-1

since 2 negatives = positive

m=1/1

simplify

m=1

We know,

1 hour = 60 minutes

Then 4 hours = 4×60= 240 minutes

= 240+ 12 mins

= 252 minutes

=60 + 26 minutes

= 86 minutes

Now we're ready to subtract!!!

=166 minutes

= \(\huge{\red{\bold{\boxed{2hour\:46minutes}}}}\)

Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

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Complete question :

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Answer:

$64.8

Step-by-step explanation:

Given that :

Total length of trip = 2100 km

Length of journey with Satish alone in the car:

(150km) beginning + (150km) ending = 300km

Length of journey with Satish and 2 friends :

2100 km - 300 km = 1800 km

Gas consumption:

6 liters per 100km

Cost of gas = $1.2 / litre

Consumption when Satish is alone :

(6 litres /100 km) * 300km = 18 litres

Cost = $1.2 * 18 = $21.6

Consumption with his 2 friends :

(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres

Cost = $1.2 * 108 = $129.6

Since amount is shared equally :

Amount paid by sattish = $129.6 / 3 = $43.2

Hence, total amount paid by Sattish is :

$21.6 + $43.2

= $64.8

Answer:

64.80 or 64.8

Step-by-step explanation:

whatever works <333

50 different greek armies, the upper class and the lower class soldiers battalions can be sent.

The Greek army can form different battalions by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. This problem can be solved using a combination formula known as a binomial coefficient.

The number of different battalions that can be sent is:

(5 choose 4) * (10 choose 8) = 5*10 = 50

Different battalions can be formed by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. Therefore, 50 different battalions can be sent.

So, 50 different battalions can be sent.

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Answer:

The lesson ends at 5:15 pm.

Answer:

Her piano lesson ends at 5:15pm

Hope it helps:)