A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

What percentage of the drink is fruit juice?

can you please reply quickly?

The shortest direct distance between the two points is the distance of the straight line that joins them.Evidence: To find the distance between the two points, we can use the distance formula, which is as follows:d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.Substituting the given values in the formula, we get:d

= √[(9 - 12)² + (2 - 4)²]

= √[(-3)² + (-2)²]

= √(9 + 4)

= √13

Thus, the shortest direct distance between the two points is √13 miles.

Reasoning: Since it takes the rancher 10 minutes to travel one mile on horseback, he will take 10 × √13 ≈ 36.06 minutes to travel the entire distance between the two points. Rounding this off to the nearest minute, we get 36 minutes.

Therefore, the rancher will take approximately 36 minutes to travel the entire distance between the two points.

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The median price of the houses sold will be equal to $171000 and yes, the mean price is greater than the median price of the houses.

Mean in mathematics is a quantity that falls somewhere between the extremes of a set. There are different types of meanings, and how they are calculated relies on the connection that is known about or is believed to control the other members.

a.

The median of given prices will be,

Let's arrange the given prices in ascending order,

161000, $165000, $168000, $171000, $174000, $178000, $240000

Then, the middle term is the median,

So, median = $171000

b.

Number of terms = 7

The mean of the given prices will be,

(171000 + 165000 + 178000 + 161000 + 174000 + 168000 +240000)/7

= 1257000/7

Mean = 179571.4286

Comparing mean and median, the mean price is greater than the median.

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The given equation is y + 2√y = x, with the constraints 1 ≤ y ≤ 2. The line intersects the y-axis.

The equation y + 2√y = x can be rewritten as √y = x - y. By squaring both sides, we get y = x^2 - 2xy + y^2.

Rearranging the equation, we have x^2 - 2xy = y - y^2.

This equation represents a quadratic curve. To determine the range of values for y, we look at the given constraints, 1 ≤ y ≤ 2. This means the curve is restricted between y = 1 and y = 2.

To find the intersection of the curve with the y-axis, we set x = 0 in the equation. This gives y = 0^2 - 2(0)(y) + y^2, which simplifies to y = y^2. Solving for y, we find two possible solutions: y = 0 and y = 1.

Therefore, the line intersects the y-axis at two points, namely (0, 0) and (0, 1).

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Given:

A Hudson Valley farmer has 26 employees.

Salary of each employee = $410 per week.

Remaining amount after one week = $126

To find:

The initial amount of money he begins with.

Solution:

We have,

Amount he pays to one employee in one week = $410

Amount he pays to 26 employee in one week = 26 × $410

                                                                             = $10660

Let x be the initial amount of money he begins with.

Remaining amount = Initial amount - Amount he pays to 26 employee in one week

\(126=x-10660\)

\(126+10660=x\)

\(10786=x\)

Therefore, the initial amount of money he begins with is $10786.

Country B has a median wind speed that is higher than country A does.

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It could be considered "the intermediate" value for a set of data.

An ordered data set's median is its middle number. The mean is calculated as the product of all values divided by all possible values.

The entire distance traveled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.

The typical wind speeds for two nations have been provided to us.

Country A's median equals the box's second term (1+9.5).

=5.25, which is the box's seventh word.

B's median is equal to (1.2+11)/2.

=6.1, where 9 is the term.

As a result, the median for country B is higher than the median for country A, with a value of 7 for A and 9 for B.

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Answer:C

Step-by-step explanation: I believe it is C according to my calculations

Answer:C

Step-by-step explanation:

Answer:

-1 is the slope

Step-by-step explanation:

The rise is up 1 and the run is sideways 1.

Hope it helps!

Answer: It will take 15 weeks for Cyndi and her sister to have the same amount of money.

Step-by-step explanation:

Given: Cyndi has $55. Her sister has $115.

Cyndi saves $10 per week. Her sister saves $6 per week.

Let x= Number of weeks.

Total amount of money Cyndi has = 55+10x            (i)

Total amount of money sister has = 115+6x              (ii)

From (i) and (ii) , we get

\(55+10x=115+6x\\\\\Rightarrow\ 10x-6x=115-55\\\\\Rightarrow\ 4x=60\\\\\Rightarrow\ x=\dfrac{60}{4}\\\\\Rightarrow\ x=15\)

Hence, it will take 15 weeks for Cyndi and her sister to have the same amount of money.

Answer:

Step-by-step explanation: 3/2=1.5   (-6/5)=(-1.2)    1.5+(-1.2)=0.3

Answer=0.3

Answer:

14

Step-by-step explanation:

To evaluate 2 + 3x for x = 4, substitute x = 4 into the expression.

x=4⇒2+3×4=2+12=14

Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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Answer:

20

Step-by-step explanation:

it equals 19.99 but if you round it equals to 20

The standard normal distribution that represents the variable in the question indicates that we get;

a. The probability is about 0.42858

b. The probability that the average mpg of 3 randomly selected passenger cars is more than 32 mpg is 0.35197

c. The probability that all the three cars get more than 32 mpg is about0.0788

A standard normal distribution, also known as the Gaussian distribution, and the z-distribution, has a mean of 0, and a standard deviation of one.

a. The standard score (z-score) of 32 mpg can be obtained as follows;

z = (32 - 31.2)/4.5 ≈ 0.178

The probability that a standard normal variable has a z-score, larger than 0.178, obtained from the z-score table is therefore;

P(Z > 0.178) ≈ 1 - 0.57142 = 0.42858

b. The of the sample is μ = 31.2

The standard deviation of the sample is, σ = 4.5/√(3)

z = (x - μ)/(σ/√n)

Therefore;

z = (32 - 31.2)/(4.5/√(3)) ≈ 0.308

The probability that a standard normal variable has a z-score larger than 0.308, from the z-score table, therefore is; p(z > 0.308) = 1 - 0.64803 = 0.35197

c. The mpg ratings are independent, therefore, we get;

P(the three cars get more than 32 mpg) = P(car 1 gets more than 32 mpg) × P(car 2 gets more than 32 mpg) × P(car 3 gets more than 32 mpg)

The probability that a car gets more than 32 mpg is about 0.42858

Therefore;

P(the three cars get more than 32 mpg) = 0.42858 × 0.42858 × 0.4288 ≈ 0.0788

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Answer:

5/2

Step-by-step

Formula for slope is y2-y1/x2-x1

so it would be 13-3/5-1

which results to 10/4

simplify 5/2

The required slope for the line is m = 5/2.

Two pairs of coordinates are given the slope of the line that passes through points to determine.

The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

The slope of a line (m) =\(y_2-y_1/x_2-x_1\)
   \((x_1, y_1), (x_2,y_2) = (1,3),(5,13)\)
m = 13-3/5-1
m = 10/4
m =5/2

Thus, the required slope for the line is m = 5/2.

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Answer:

Step-by-step explanation:

From the inequality concept ( -7 / 10) > ( -5 / 6).

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given fractional numbers are -5/6 and -7/10. The numbers in the form of inequality will be calculated as:-

-7 / 10 = -0.7

-5 / 6 = -0.84

-0.7 > -0.84

-7 / 10 > -5 / 6

Therefore, from the inequality concept ( -7 / 10) > ( -5 / 6).

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Answer:

Step-by-step explanation:

The remaining volume of the cone will be 4247 cubic units.

Let's assume that the base of the square pyramid has side lengths, and let's also assume that the height of the pyramid is h. Then, the volume of the pyramid is:

V(Pyramid)= (1/3) x s² x h

Now, let's consider the inscribed cone. Since the cone is inscribed in the pyramid, the base of the cone must lie at the base of the pyramid, and the vertex of the cone must lie at the apex of the pyramid.

Let's assume that the radius of the base of the cone is r, and let's also assume that the height of the cone is also h. Then, the volume of the cone is:

V( cone)= (1/3) x π x r² x h

Since the cone is inscribed in the pyramid, the base of the cone has the same side length as the base of the pyramid. Therefore, the diameter of the base of the cone is equal to the side length of the square pyramid. Since the radius of the cone is half of the diameter, we can write:

r = (1/2) x s

Substituting this into the formula for the volume of the cone, we get:

V(cone) = (1/3) x π x (1/4) x s² x h

= (1/12) x π x s² x h

Now, we can find the volume of the remaining solid by subtracting the volume of the cone from the volume of the pyramid:

V(remaining) = V(pyramid) - V(cone)

= (1/3) x s² * h - (1/12) x π x s² x h

= (1/3) x s² x h x (1 - (1/4) x π)

So, the volume remaining is approximate:

V(remaining) ≈ 0.79 x s² x h

V(remaining) = 0.79 x (16)² x 21

V(remaining) = 4247 cubic unit

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The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Answer:

22%

Step-by-step explanation:

Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.

780/1000

So now we simplify the fraction to 39/50.

And do 39 / 50 = .78

To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.

Answer:

y intercept is -8

slope is 3x

Step-by-step explanation:

the definitions of them speak for themselves

We know x = 4 + y  (1)

So 2x - 3y = 1  

<=> 2.(4 + y) - 3y = 1

<=> 8 + 2y - 3y = 1

<=> 8 - y = 1

<=> y = 8 - 1

<=> y = 7  (2)

move (2) to (1) : x = 7 + 4 = 11

ok done. Thank to me :>

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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The initial conditions are a₀ = y(0) and a₁ = y'(0). To find power series solutions for the given differential equation, let's assume a power series representation for the solution:

y(x) = ∑[n=0 to ∞] (aₙxⁿ)

where aₙ represents the coefficients of the power series. We'll differentiate this expression to find the series for the first and second derivatives of y(x).

First derivative:

y'(x) = ∑[n=0 to ∞] (aₙn xⁿ⁻¹)

Second derivative:

y''(x) = ∑[n=0 to ∞] (aₙn(n-1) xⁿ⁻²)

Now, substitute these expressions into the given differential equation:

(x-1)y'' + y' = 0

(x-1) * ∑[n=0 to ∞] (aₙn(n-1) xⁿ⁻²) + ∑[n=0 to ∞] (aₙn xⁿ⁻¹) = 0

We can simplify the equation by expanding the summation and rearranging terms:

∑[n=0 to ∞] (aₙn(n-1) xⁿ⁻¹) - ∑[n=0 to ∞] (aₙn(n-1) xⁿ⁻²) + ∑[n=0 to ∞] (aₙn xⁿ⁻¹) = 0

Now, let's set the coefficient of each power of x to zero:

For xⁿ⁻¹ coefficient:

aₙn(n-1) - aₙ₋₁(n-1) + aₙ₋₂n = 0

Rearranging this equation gives us a recurrence relation:

aₙn(n-1) = aₙ₋₁(n-1) - aₙ₋₂n

We need two initial conditions to determine the values of a₀ and a₁. Since we are looking for solutions at x = 0, we'll use the initial conditions y(0) = a₀ and y'(0) = a₁.

From the power series representation, we have:

y(0) = a₀

y'(0) = a₁

Therefore, the initial conditions become:

a₀ = y(0)

a₁ = y'(0)

By choosing appropriate values for y(0) and y'(0), we can obtain specific solutions to the differential equation.

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The value of f(f^(-1)(4)) depends on the specific function f and its inverse f^(-1). Without knowing the function f, we cannot determine the exact value of f(f^(-1)(4)). Therefore, correct answer is option 5: Need to know f.

To evaluate the expression f(f^(-1)(4)), we would need to know the explicit form of the function f and its inverse f^(-1). Once we have the function f and its inverse, we can substitute f^(-1)(4) into f to find the corresponding output value. However, without this information, we cannot determine the result of f(f^(-1)(4)).

In summary, the value of f(f^(-1)(4)) cannot be determined without knowing the specific function f and its inverse.

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Answer:

208/8=26

Step-by-step explanation:

Each friend would get 26 beads.

Answer:

y=-7x+22

Step-by-step explanation:

The unknown angle x in the triangle is 80 degrees

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

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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