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Answer:

SIf Caden's burrito stand uses 7/8 of a bag of tortillas each day, then in one day, the stand will use 1 bag of tortillas after (1 / 7/8) = 8/7 days.

Therefore, 7 7/8 bags of tortillas will last for (7 7/8) x (8/7) = 8 days.

So, 7 7/8 bags of tortillas will last for 8 days at Caden's burrito stand.

The standard deviation of an adult's weight over a day, given that they can lose or gain two pounds of water in that day and the changes in water weight are uniformly distributed between minus two and plus two pounds in a day, is 2 pounds.

Standard deviation is a measure of how spread out a set of data is from its mean or average value.

To calculate the standard deviation, we need to first find the mean weight change. Since the weight change is uniformly distributed between minus two and plus two pounds in a day, the mean weight change would be the average of those two values, which is zero.

Next, we need to find the variance, which is the average of the squared deviations from the mean. In this case, the deviations from the mean can range from minus two to plus two pounds. So, the variance would be [(2-0)² + (-2-0)²]/2, which equals 4.

Finally, the standard deviation is the square root of the variance, which is the positive square root of 4, or 2.

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Answer:

Step-by-step explanation:

or  its Y = 4'4

The rate of change of the area formed by the ladder at this instant is 11.1 m²/min.

At a certain instant, we are given that the top of the ladder is 3.33 m from the ground. This means that h = 3.33 m. We also know that the distance between the bottom of the ladder and the wall is increasing at a rate of 6.66 m/min. In other words, we can say that dx/dt = 6.66 m/min.

Our goal is to find the rate of change of the area formed by the ladder at this instant. Let's denote the area of the triangle by A. We know that:

A = (1/2) x L x h

To find the rate of change of A, we need to take the derivative of A with respect to time t:

dA/dt = (1/2) x (dL/dt x h + L x dh/dt)

We know that dh/dt is zero because the height of the triangle is not changing. We also know that the ladder is sliding down the wall, which means that dL/dt is negative. Therefore, we can rewrite the equation as:

dA/dt = (1/2) x (-dL/dt x h)

Substituting the given values, we get:

dA/dt = (1/2) x (-(-6.66) x 3.33) = 11.1 m²/min

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The value of -3(U x V) is 366. None of the options is correct.

What is dot product?

A pair of vectors' dot product is the result of adding the products of each corresponding component. It is equal to their product of magnitudes times the cosine of the angle at which they are separated. The magnitude square of a vector is its dot product with itself.

The given vectors are U=-6i-10j and V = 7i + 8j.

The formula of dot product is

A = x₁i + y₁j and  B = x₂i + y₂j

A.B = x₁x₂ + y₁y₂.

Apply the formula:

U.V = (-6×7) + (-10×8)

=-42 - 80

= - 122

Now calculate -3(U . V):

-3(U . V) = -3×(- 122)

-3(U . V) = 366

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The author would have sold a total of 128305 books over the first 6 months.

A geometric series is the sum of finite or infinite terms of a geometric sequence. For the geometric sequence a, ar, ar2, ..., arn-1, ..., the corresponding geometric series is a + ar + ar2 + ..., arn-1 + .... We know that "series" means "sum".

We can use the formula for the sum of a finite geometric series to calculate the total number of books sold over the first 6 months:

S = a(1 - rⁿ) / (1 - r)

where:

a = the first term of the series = 27500

r = the common ratio = 0.9 (since sales decline by 10% each month)

n = the number of terms in the series = 6 (since we want to calculate the total number of books sold over the first 6 months)

Plugging in the values, we get:

S = 27500(1 - 0.9⁶) / (1 - 0.9)

S = 27500(1 - 0.531441) / 0.1

S = 27500(0.468559) / 0.1

S = 128305.45

Rounding to the nearest whole number, the author would have sold a total of 128305 books over the first 6 months.

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To find and sketch the domain of the function f(x, y) = ln(9 - x^2 - 9y^2), follow these steps:

1. Identify the function: f(x, y) = ln(9 - x^2 - 9y^2).
2. Determine the domain: The natural logarithm, ln, is defined only for positive input values. Therefore, we need to find the values of x and y that make the expression inside the logarithm positive: 9 - x^2 - 9y^2 > 0.
3. Rearrange the inequality: x^2 + 9y^2 < 9.
4. Divide by 9: (x^2)/9 + y^2 < 1.

The inequality (x^2)/9 + y^2 < 1 represents the region inside an ellipse with major axis length 2√9 = 6 and minor axis length 2√1 = 2. The center of the ellipse is at the origin (0, 0).

To sketch the domain:

1. Draw the x and y axes.
2. Sketch the ellipse with the given axes lengths and centered at the origin.
3. Shade the region inside the ellipse to represent the domain.

The domain of the function f(x, y) = ln(9 - x^2 - 9y^2) is the set of points (x, y) inside the ellipse (x^2)/9 + y^2 < 1, which has been sketched as described.

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Based on the total of his out-of-pocket investment and lost earnings of $130,000, it will take Anton 13 years (payback period) to recover if he makes an additional $10,000 per year after completing the degree.

The number of years (payback period) that it will take Anton to recover his investments and lost earnings can be determined by dividing the total investment and lost earnings by the additional annual income of $10,000.

Investment = $70,000

Lost earnings per year = $20,000

Number of years required to complete the degree = 3 years

The total lost earnings = $60,000 ($20,000 x 3)

The total investment and lost earnings = $130,000 ($70,000 + $60,000)

Additional annual income after completing the degree = $10,000

The number years to recover investment and lost earnings = 13 years ($130,000 ÷ $10,000)

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To solve this problem, we need to use some trigonometry. We can use the tangent function to find the length of the magma below sea level.

Let's define the following variables:

• x: the length of magma below sea level (what we want to find)

• y: the total length of magma (which we don't know)

• θ: the angle of elevation, which is 40°

We can set up a right triangle with the hypotenuse representing the total length of magma (y), the opposite side representing the length of magma below sea level (x), and the adjacent side representing the distance from the volcano to the point where the magma rises above sea level (which we don't need to calculate).

Using the tangent function, we can write:

tan(θ) = x / y

Rearranging this equation, we get:

x = y * tan(θ)

Now we just need to plug in the values we know:

• θ = 40°

• y = 15 kilometers (since the magma reservoir is located 15 kilometers beneath the Chijiwa Bay)

Using a calculator, we can evaluate tan(40°) to be approximately 0.8391.

Plugging in these values, we get:

X = 15km*0.8391, X = 12.5865km

Therefore, the length of magma below sea level is approximately 12.5865 kilometers



Probability of spin on polka dots = 3/8.

Probability of spin on stripes = 5/8

Probability of spin on striped and even numbers = 1/4.

Probability of landing a spin on even numbers or striped  = 3/4

The code is ABCH.

From attached figure we have.

Probability

= (total number of favorable outcomes)/(Total number of outcomes)

Spaces are 0, 1, 2, 3, 4, 5, 6, 7

Total number of spaces = 8

Number of space having polka dots

= 1, 4, 6 have polka dots

= 3

Number of space having stripes

= 0, 2, 3, 5, 7 have stripes

= 5

Number of space with stripes and even numbers

= 2

Probability of landing on polka dots =3/8.

Option A.

Probability of landing on stripes

= 5/8

Option H.

Probability of landing on stripes and even numbers

= 2/8

= 1/4

Option C.

Probability of landing on stripes or even numbers

= Probability of ( polka dots + stripes - stripes and even numbers )

= 3/8 + 5/8 - 1/4

= (3 + 5 - 2)/8

= 6/8

= 3/4

Option B

This implies ,code is 'ABCH'.

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The above question is incomplete, the complete question is:

Probability Digital Escape! puzzle 3 answer

Attached figure.

Answer:   f= {3-5 sqrt{7^q}/{2*7^q}

Step-by-step explanation:

If height of water on supports is "5.4 feet", at "low-tide" and 11.8 feet at "high-tide" which is 6 hours later, then the equation for depth of water at this location "t" hours after midnight is d(t) = 1.9×t + 5.4.

We assume that the depth of the water changes linearly with time

At the "Low-Tide", (2 a.m.) the height of water is 5.4 feet,

At the "High-Tide", the height of water is 11.8 feet,

Let d(t) denote the depth of the water at time "t".

By, using "slope-intercept" form of a linear-equation,

We get : d(t) = m×t + b,

where m is = slope and b is = y-intercept,

To find the slope, we use the two points (0, 5.4) and (6, 11.8);

⇒ m = (11.8 - 5.4) / (6 - 0) = 1.0666.. ≈ 1.1,

Now, to find the y-intercept, we use the point (0, 5.4),

We get, d(t) = 1.1×t + 5.4,

Therefore, the equation describing the depth of the water is d(t) = 1.9×t + 5.4.

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Rounding up, the editors will need to contact at least 385 randomly selected employers to estimate the percentage of businesses that plan to hire additional employees in the next 60 days with a margin of error of ​% and a confidence level of ​%.

To calculate the sample size, the editors can use the following formula:
n = (Z^2 * p * q) / E^2
where:
- n is the required sample size
- Z is the Z-score corresponding to the desired confidence level (for example, if the desired confidence level is 95%, the Z-score would be 1.96)
- p is the estimated proportion of businesses that plan to hire additional employees (this value is unknown and will be estimated based on past data or other sources)
- q is 1 - p
- E is the desired margin of error
Assuming the editors want a 95% confidence level and a margin of error of ​%, let's say they estimate that 50% of businesses plan to hire additional employees. Plugging these values into the formula, we get:
n = (1.96^2 * 0.5 * 0.5) / (0.05^2)
Simplifying, we get:
n = 384.16
They have a desired margin of error and a desired confidence level, and you need to determine the number of randomly selected employers they must contact.

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Answer:$509.51

Step-by-step explanation:

The volume of a right cylinder is given by:

V = πr^2h

where r is the radius and h is the height.

Plugging in the values given in the problem, we get:

V = π(0.5)^2(25) = 19.63 cubic feet

The cost of the utility pole is the product of its volume and the cost per cubic foot of the wood, which is $25.99. Therefore, the cost is:

Cost = 19.63 x $25.99 = $509.51

Rounding to the nearest cent, the cost of the utility pole is $509.51.

The election of 2000 demonstrated that a poll may not be reliable if the sample size is too small (option d).

The factor that can impact the reliability of a poll is bias. If the sample is biased, it may not accurately represent the larger population, leading to skewed results. Bias can occur in several ways, such as selecting a sample that is not representative of the larger population, asking leading questions, or using a sampling method that favors a particular group.

In the 2000 election, both of these factors contributed to the unreliability of the polls. The race was extremely close, with the outcome depending on the results in a few key states. Pollsters struggled to accurately predict the outcome of the election, with some predicting a win for Al Gore and others predicting a win for George W. Bush.

Additionally, the sample sizes and methods used by pollsters were called into question. Some pollsters used small sample sizes, while others were accused of bias in their sampling methods. The combination of these factors led to unreliable poll results and uncertainty about the outcome of the election.

Hence the correct option is (d).

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The weight of the truck with the bags is 3405 kg.

A worker transferred 50 bags of rice weighing 38 kg 500 g each into a truck

The weight of the empty truck is 1480 kg.

We have to find the weight of the truck with the bags

The total weight of the rice bags is:

50 bags x 38 kg 500 g/bag = 1925 kg

The weight of the truck with the bags will be:

1925 kg + 1480 kg = 3405 kg

Therefore, the weight of the truck with the bags is 3405 kg.

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The percent increase of Tory's earnings is 25%.

Percent​ increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given that:

Initial value x₁ = $8.00

New value x₂ = $10.00

Percent increase C = ?

Substituting the given values, we get:

C = ((x₂ - x₁) / x₁)100%

C = (( 10 - 8 ) / 8)  × 100%

C = ( 2/8)  × 100%

C = 25%

Therefore, the percent increase is 25%.

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The number of months that it will take the latest model's battery life to reach 731.0 minutes would be 8 months

Each month, there is an increase by a factor of 0.06 of the past months model.

By geometric sequence formula of aₙ = ar^(n - 1),

where; a is first term

r is common ratio, aₙ is nth term

we have;

1,008.9 = 731.0 * 1.06^(n - 1)

1008.9/731.0 = 1.06^(n - 1)

In 1.504 = (n - 1) In 1.06

0.408 = (n - 1) * 0.058

n - 1 = 0.408/0.058

n = 7.03 + 1

n ≈ 8 months

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Answer: 225 cm^3

Step-by-step explanation: To find the volume of the composite object, we need to find the sum of the volumes of the cylinder and the cone.

Volume of cylinder = pi * r^2 * h = 3 * 3^2 * 7 = 189 cubic units

Volume of cone = 1/3 * pi * r^2 * h = 1/3 * 3 * 3^2 * 4 = 36 cubic units

Total volume of composite object = volume of cylinder + volume of cone = 189 + 36 = 225 cubic units.

Therefore, the volume of the composite object is 225 cm^3.

Answer: 135 cm³

Step-by-step explanation:

You have 2 shapes.  Find volume for both and add them

V(cone) = [tex]\frac{\pi r^{2} h}{3}[/tex]            r=3        h=3       [tex]\pi[/tex]=3

            =[tex]\frac{3(3^{2})3 }{3}[/tex]

            =27

V(sphere)= [tex]\frac{4}{3 }\pi r^{3}[/tex]         r=3    [tex]\pi[/tex]=3

               = [tex]\frac{4}{3 }(3) 3^{3}[/tex]

               =108

Add the 2 volumes

V=27+108 = 135 cm³

Answer:

Step-by-step explanation:
Hello! Since this is a right triangle, the three things we would be able use to solve for x and y are tangent, cosine, and sine.

The first thing we could do is solve for x (it doesn't matter what you do first, though). The side measuring 6 is opposite from the 90 degree angle, meaning it is the hypotenuse. The side measuring x is opposite from the 60 degree angle, meaning it is the opposite side from the 60 degree angle. The side measuring y forms the 60 degree angle and is not the hypotenuse, meaning it is the adjacent side to the angle measuring 60 degrees. Now that we know this, here are some formulas:

Sine = Opposite/Hypotenuse
Cosine = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

Since we know that x is the opposite side and 6 (our known value) is the hypotenuse, what is the only formula using the opposite side and hypotenuse? Sine!

Sine = Opposite/Hypotenuse
Sine (60) = x/6
Sine (60) x 6 = x

Here is something to help you remember this: SOH--CAH--TOA

Sine-Opp-Adj--Cosine-Adj-Hyp--Tangent-Opp-Adj.

Solve for sine 60 degrees on your calculator by pressing the button saying sin and then typing the number (60).

((the square root of three)/2) x 6 = x
3 x the square root of three = x.

So, x = 3(the square root of three).

C and d both have options saying that x = 3(square root of three), so we will have to solve for y to find the right answer.

y is the adjacent side to 60 degrees, and now we can either use x or 6 to solve for this problem. I will use 6, the hypotenuse. We will need to use adjacent/hypotenuse = cosine (__)

cosine (__) = adjacent/hypotenuse
cosine (60) = y/6
cosine (60) x 6 = y

Solve for cosine 60 on your calculator by pressing sin and then 60.

1/2 x 6 = y
3 = y.

y = 3 and x = 3(the square root of three)

So the answer is d.

As one gallon of paint will cover 400 square feet, then Abdul needs to purchase 2 gallons of paint.

To find the total area that Abdul needs to paint, we need to calculate the area of each wall and the ceiling, and then add them up.

Area of first wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of second wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of third wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of fourth wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of ceiling = length x width = 10 ft x 12 ft = 120 sq ft

Total area to be painted = 90 + 90 + 108 + 108 + 120 = 516 sq ft

Abdul is not going to paint the door or closet, so we need to subtract their areas from the total area.

Area of door = width x height = 3 ft x 7 ft = 21 sq ft

Area of closet = width x height = 6 ft x 7 ft = 42 sq ft

Total area to be painted after subtracting door and closet = 516 - 21 - 42 = 453 sq ft

Since one gallon of paint covers 400 square feet, Abdul needs to purchase:

453 sq ft ÷ 400 sq ft/gallon = 1.13 gallons of paint

Thus, as we round up to the nearest gallon since Abdul cannot purchase a fraction of a gallon. Abdul needs to purchase 2 gallons of paint.

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If there is an axis deviation, it can result in a reversal of the QRS complex polarity in certain leads. Leads that normally have positive QRS complexes may have negative QRS complexes, and vice versa.

For example, if there is a left axis deviation, leads I and aVL, which normally have positive QRS complexes, may have negative QRS complexes.

Axis deviation refers to the direction in which the electrical activity is traveling through the heart. If the electrical activity is deviated from its normal pathway, it can cause a change in the orientation of the QRS complex, which is a graphical representation of the electrical activity generated by the ventricles during the cardiac cycle.

The change in polarity occurs because the direction of the electrical activity is now opposite to what it would be in a normal heart. This change in polarity can be used to help diagnose the location and type of axis deviation. Understanding the significance of the polarity changes can help healthcare providers determine appropriate treatment plans for patients.

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The number of gallons of paint the hotel will need to buy is (b) 10 gallons

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

The composite figure of a pool

The surface area is calculated as

Surface Area = Rectangular Prism + Half Cylinder - Common Area

Using the above as a guide, we have the following:

Surface Area = 2 * (10 * 10 + 10 * 50 + 50 * 10) + 22/7 * 2.5 * (2.5 + 4) - 5 * 4

Evaluate

Surface Area = 2231

For the number of gallons, we have

Gallons = 2231/200

Evaluate

Gallons = 11.2

The closest to this is 10

Hence, the number of gallons is 10

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Answer:

  C. Dilation by 1/2, rotation 180°

Step-by-step explanation:

You want the sequence of transformations that moves ∆ABC to ∆DEF.

We note that the coordinates of corresponding points are ...

Comparing these, we find that D = (-1/2)·A.

The scale factor of -1/2 is equivalent to a dilation by a factor of 1/2 and reflection across the origin. Reflection across the origin is equivalent to a rotation of 180°.

The sequence of transformations that moves ∆ABC to ∆DEF is ...

  C.  A dilation by a factor of 1/2 centered at the origin, followed by a 180° clockwise rotation about the origin.

__

Additional comment

The direction of rotation is irrelevant when the rotation angle is 180°. When the center of dilation is unspecified, it is assumed to be the origin.

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Based on flow velocity, 4.132 feet per second is the correct response to the question.

A vector number called velocity is used to explain how quickly an object changes its position with respect to time. Its definition is that it is the displacement (change in position) of an object per unit of time, which takes into account both the magnitude (speed) and direction of the object's motion.

We must determine the pipe's cross-sectional area. The following formula provides the cross-sectional area of a pipe:

A = πr²

where r is the pipe's radius.

Since the pipe's diameter is specified as 6 inches, the radius may be determined as being equal to half of the diameter:

r = 6/2 = 3 inches

To translate this to feet:

r = 3/12 = 0.25 feet

Now we may apply the cross-sectional area formula:

A = πr² = π(0.25)² = 0.196 ft²

Next, we can use the formula for velocity of flow:

v = Q/A

where A is the pipe's cross-sectional area and Q represents the flow rate.

Inputting the values provided yields:

v = 0.81/0.196 = 4.132 fps

As a result, the 6-inch-diameter pipe's flow velocity is roughly 4.132 feet per second.

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If there are 5 finalists at a singing competition, in 120 ways they can be ordered, if they each take turns singing by applying basic counting principles.

There are 5 finalists at a singing competition and each of them takes turns singing.

We can calculate the number of ways the 5 finalists can take up turn by applying basic counting principles.

Therefore, they can be ordered in n factorial ways, that is n !, where n is the number of finalists who take turns to sing.

Thus, number of ways the finalists can be ordered is = 5!

= 5*4*3*2*1 ( ways )

= 120 ways

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