A 4 1/2 pound bag of raisins must be divided equally into 1/4 pound portions for a cooking class. Enter the number of 1/4 pound portions that can be made from 4 1/2 pounds of raisins. ​

Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

The focal length of the concave mirror is approximately -51.75 cm. Here the negative sign indicates that the mirror is concave.

To solve this problem, we can use the mirror equation for concave mirrors:

1/f = 1/d_o + 1/d_i,

where f is the focal length, d_o is the object distance, and d_i is the image distance.

Given that the virtual image produced by the concave mirror is 9 times as tall as the object, we know that the magnification (M) is equal to 9. Magnification is defined as the ratio of the image height (h_i) to the object height (h_o):

M = h_i / h_o = -d_i / d_o.

Since the image is virtual, the image distance (d_i) is negative. Therefore, we can rewrite the magnification equation as:

M = -d_i / d_o.

We are given that the object distance (d_o) is 46 cm. Plugging in the values, we have:

9 = -d_i / 46.

Solving for d_i, we get:

d_i = -414 cm.

Now, we can substitute the values of d_o and d_i into the mirror equation:

1/f = 1/d_o + 1/d_i,

1/f = 1/46 + 1/(-414),

1/f = -8/414,

f = -414/8,

f = -51.75 cm.

Therefore, the focal length of the concave mirror is approximately -51.75 cm. Note that the negative sign indicates that the mirror is concave.

Learn more about concave mirror here:

https://brainly.com/question/31379461

#SPJ11

Therefore, the answer is E. A and B are true assumptions.

The correct answer is E. A and B are true assumptions.What is the constant growth dividend valuation model?The constant growth dividend valuation model is used to calculate the intrinsic value of a stock based on the assumption that dividends will increase at a constant rate indefinitely. The model values a stock's current price based on the amount of future dividends it is expected to pay. The constant growth dividend valuation model is sometimes referred to as the Gordon Growth Model.What assumptions does the constant growth dividend valuation model make?The constant growth dividend valuation model assumes that:A. a constant annual dividendB. a constant dividend growth rate for no more than the first 10 yearsTherefore, the answer is E. A and B are true assumptions.

To know more about constant growth,

https://brainly.com/question/15041003

#SPJ11

Answer:

first graph

Step-by-step explanation:

To find a function, for every x value there is only one corresponding y value.

If at x=-2, there are two values for y then it is NOT a function.

The volume to be approximately 2.6 x 10⁶ cubic units.

First, let's find the points of intersection of the given parabolas y² – 90(x+7) and y = 328(82 - x). Equating both equations, we get:

328(82 - x)² = y² - 90(x + 7)

Expanding the equation and simplifying, we get:

328x² - 59040x + 2628096 = 0

Solving this quadratic equation, we get x = 45.15 or x = 129.54. Substituting these values in the equation y = 328(82 - x), we get y = 367.64 or y = 0.16 respectively.

Therefore, the two parabolas intersect at (45.15, 367.64) and (129.54, 0.16).

Next, we need to find the area of the region bounded by these two parabolas. We can do this by integrating the difference of the two functions between the x-coordinates of intersection points. Hence, the area is given by:

\(∫(0.16)^3^6^7^.^6^4 [(y²/90) - (328(82-x))] dy\)

Evaluating this integral, we get the area to be approximately 1.17 x 10⁵ square units.

Now, we need to find the volume of the solid obtained by rotating the region between the parabola 364x² = y² and the square root function y = √366 around the x-axis. To do this, we use the disk method of integration. We slice the solid into thin disks perpendicular to the x-axis and sum the volume of all the disks.

The radius of each disk is given by the y-coordinate of the point on the parabola 364x² = y² and the square root function y = √366. Hence, the radius is given by:

r = y for the parabola, and r = √366 for the square root function

The thickness of each disk is dx. Hence, the volume of each disk is given by:

dV = πr²dx

Integrating this expression between the limits 0 and √366, we get the total volume of the solid as:

\(V = ∫(0)^√366 π(y²)dx + ∫√366¹⁸² π(364x²)\)

Evaluating this integral, we get the volume to be approximately 2.6 x 10⁶ cubic units.

To learn more about volume here:

brainly.com/question/31312176#

#SPJ11

Answer:

(x - 4) + (y +1) 2 = 25 is the answer! :)

Step-by-step explanation:

True. Empirical research involves using observation and experience to gather data and test hypotheses. This process is primarily logical, as it involves reasoning and making sense of the data. While mathematical tools may be used in some aspects of empirical research, they are not the foundation of the process.

True. Empirical research is primarily a logical operation rather than a mathematical one. Empirical research involves observation and gathering of data through direct experience, experiments, or measurements and hypotheses, which requires logical reasoning and analysis to draw conclusions. While mathematical operations and calculations can be a part of the empirical research process, they are not the main focus. The primary focus is on using logic to interpret the collected data and determine the validity of the results.

By quantifying the evidence or understanding the evidence in a qualitative way, researchers can answer empirical questions that need to be articulated and answered with the data collected (often called data). Research designs vary by field and research question. Many researchers, especially in the social sciences and education, have provided good and varied observation models to better answer questions that cannot be studied in the laboratory.

Learn more about hypotheses:

brainly.com/question/29664819

#SPJ11

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

To learn more about :  dimensions

https://brainly.com/question/28107004

#SPJ8

Answer:

-4

any more help just ask :)

Answer: they dont have the same numbers

Step-by-step explanation:

Answer:

Function A is 2

Function B is 5

Difference is -3

Step-by-step explanation:

The y intercept is the rate of change or the value of zero

Answer:

if the question is how much did you spend in total then your answer would be $9.77, let me know if this is not the question

Step-by-step explanation:

3.99 + 3.99 + 1.79

Answer:

$9.77

Step-by-step explanation:

hope the picture explains it :)

the answer is 50:::::::_::::::::

The number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

If there are at least 60 of each kind of coin, we can assume that we have four different types of coins, such as quarters, dimes, nickels, and pennies. Let's assume we have x quarters, y dimes, z nickels, and w pennies.

We know that we need to choose a total of 60 coins. Therefore, we have the following equation:

x + y + z + w = 60

We want to find the number of different collections of coins that can be chosen. This is equivalent to finding the number of non-negative integer solutions to the equation above.

Using the stars and bars formula, the number of non-negative integer solutions to this equation is:

(n+k-1) choose (k-1)

where n is the total number of objects (60 in this case) and k is the number of groups we want to divide them into (4 in this case).

So, the number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

To learn more about equivalent visit:

https://brainly.com/question/14672772

#SPJ11

The attached image is the picture. Hope it helps!!!

Answer:

inequality: x > -3

Set notation: {x: x> -3}

Interval notation: [-3, ∞)

The interval can be described as inequality is x>-3, the set notation is {x: x>-3}, and the interval notation is [-3, α).

The positive, negative, whole, and rational numbers can be mark on a number line. Numbers appearing on the right side of 0 are positive, and those reflected on the left side are negative.

The thick line on the picture starts at -3 and tends towards positive infinity.  So, it can be represented as inequality by x>-3.

The set notation can be described for x-axis elements since it is a line. The elements greater than -3 are present in it. So it can represented as {x :x> -3}.

The interval ranges from -3 to positive infinity; hence, it can be represented as [-3,α).

So we can conclude that the interval can be represented by an inequality as x > -3, the set notation contains elements greater than -3, and the interval ranges from -3 to positive infinity.

To learn more about number line, use the link given below:

https://brainly.com/question/13189025

#SPJ2

Answer:

Step-by-step explanation:

\(P(4,9)\\Q(8,1)\\\\d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(8-4\right)^2+\left(1-9\right)^2}\\\\Simplify\\\\d =4\sqrt{5}\\\\d =8.9\)

Answer:the answer is 9 because the height of the triangle is 8^2 (64) and the length is 4^2 (16) add those together and that is 80 then you need to square it which is 8.9 the to the nearest unit which is 9.

and I got it right on my assignment

Answer:

3a

Step-by-step explanation:

9/3 = 3

\(a^{3}/a^{2} = a^{3 -2} = a\)

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

Visit here to learn more about differential equation  : https://brainly.com/question/14620493
#SPJ11

Answer:

14 hours

Step-by-step explanation:

add 16+12=28

since there 2 people you then divide that number by 2

which gives you 14

Answer:

6,561

Step-by-step explanation:

Given that;

\(log_3x + log_9x = 12\\log_3x+1/2log_3 x = 12\\(1+1/2)log_3x = 12\\3/2log_3x = 12\\log_3x = 12 *2/3\\log_3x = 8\\x = 3^8\\x = 6,561\)

Hence the value of x is 6,561

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

To learn more about standard deviation refer:

https://brainly.com/question/24298037

#SPJ11

The statement "For a sample with a mean of M=73, a scote of X=71 corresponds to z=−0.25. The sample standard deviation is s =8." is false as the given information contradicts the properties of the z-score formula.

The z-score formula is given by:

z = (X - μ) / σ,

where X is the score, μ is the population mean, and σ is the population standard deviation.

According to the given information, the sample mean (M) is 73, and a score of X = 71 corresponds to a z-score of -0.25. However, the sample standard deviation (s) is not provided.

To calculate the z-score, we need the population standard deviation, not the sample standard deviation. Therefore, without knowing the population standard deviation, we cannot determine the accuracy of the statement.

To know more about sample, refer here:

https://brainly.com/question/32907665#

#SPJ11

The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

Learn more about Capital Asset Pricing Model here:

https://brainly.com/question/32230922

#SPJ11

Answer:

580.4 inches.

Step-by-step explanation:

To find the length of j, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal to the same ratio for another side and its opposite angle. That is,

j/sin(86°) = k/sin(29°)

Substituting the given values, we get:

j/sin(86°) = 590/sin(29°)

Multiplying both sides by sin(86°), we get:

j = 590*sin(86°)/sin(29°)

Using a calculator, we get:

j ≈ 580.3 inches

Rounding to the nearest tenth of an inch, we get:

j ≈ 580.3 ≈ 580.4 inches

Therefore, the length of j is approximately 580.4 inches.

Answer:

Step-by-step explanation:

315.6

The scale factor required for the dilation of the living room is 1/3.

A scale factor is a multiplicative fraction that can be used to either increase or decrease (i.e resize) the shape of a given object. It is given by the expression:

scale factor = \(\frac{length on the drawing}{length of the original object}\)

Dilation is type of transformation that can be used to resize the dimensions of a given object. So that an image of the object is formed.

Therefore, the required scale factor is;

scale factor = \(\frac{length on the drawing}{length of the original object}\)

                   = 7/21 or 9/27

                   = 1/3

scale factor = 1/3

The scale factor of the dilation as required in the question is 1/3.

Learn more about scale factor at https://brainly.com/question/20914125

#SPJ1

Answer:

32 fl oz.

Step-by-step explanation:

The height of the tower is: 274.7m

To find the height of the tower, we will use the tangent trigonometric function.

The tangent function relates the angle of elevation to the ratio of the opposite side (height of the tower) to the adjacent side (distance from the observer to the tower).

In this case, the angle of elevation is 70°, and the distance from the observer to the tower is 100 meters.

The formula we will use is:

tan(θ) = opposite / adjacent

tan(70°) = height / 100m

To calculate the height, we will rearrange the formula:

height = 100m * tan(70°)

Using a calculator, we find that tan(70°) ≈ 2.747.

Therefore, the height of the tower is: 274.7m

height ≈ 100m * 2.747 ≈ 274.7m

Read more about height here:

https://brainly.com/question/1739912

#SPJ1

The question in English is:

A person observes a tower from a distance of 100m with an elevation angle of 70, with which trigonometric function would you obtain the height of the tower? Calculate the height of the tower

Answer:

THE ACTUAL ANSWER IS p=4.47 and p is for one bag of potting soil

Step-by-step explanation:

THE ACTUAL ANSWER IS p=4.47 and p is for one bag of potting soil