A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 6 pounds of jelly beans, the total cost is $24. For 3 pounds of almonds and 2 pounds of jelly beans, the total cost is $10 . Find the cost for each pound of almonds and each pound of jelly beans.

Answer:

A=2035.75

V=4033.81

Step-by-step explanation:

Depending on which formula you need you will need to solve for the separate shapes then add the answers together.

Cone: A=pi×r(r+hSquared +rSquared)

V=pi×rSquared×h/3

Cylinder: A=2pi×rh+2pi×rSquared

V=pi×rSquared ×h

1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

We have to given that;

First figure shows a trapezoid

And, Second shows triangle.

Since, We know that;

Area of Trapezoid is,

A = (6 + 12) x 4.5 / 2

A = 18 x 4.5 / 2

A = 40.5 cm²

And, For second figure,

Area of triangle is,

A = 1/2 × Base × Height

A = 1/2 × 7.3 × 4.6

A = 16.69 cm²

Therefore, We get;

1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

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the yearly increase of x% assumes is compounding yearly, so let's use that.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}\)

\(95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r\)

Answer:

120$

Step-by-step explanation:

Equation

$= 10x + 50

x is the amount of hours.

Plug in for x

$ = 10(7) + 50

$ = 70 + 50

$ = 120

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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From the problem, erika is not correct that 6i/4 is a rational number because imaginary numbers are not real numbers.

Rational numbers are defined as numbers that  can be written as a fraction of two integers  in the form of a/b where a and b are integers.

Now, If a number line is expanded to become a clear number plane, it would mean that some numbers that are neither rational nor irrational can possibly be plotted. These numbers are are referred to as imaginary numbers which are defined as multiples of the square root of -1. It has no real solution, because the square root of a number is always positive.

We are given the imaginary number as 6i/4 and from the definition above, we can tell that it is neither a rational nor irrational number.

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Answer: the last one, (-1, 1), (7, 1), (3, 5)

Step-by-step explanation: If you take point A and move it 7 units to the right, A' would be (-1, 1) because the y-value does not change, and the x-value was previously at -8.

None of the other answers have (-1, 1) as A' except the last one, so by the process of elimination, the last one, or answer D, is correct.

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.

So, the equation of the line is:

y + 1 = -0.5(x - 5)

y + 1 = -0.5x + 2.5

y = -0.5x + 1.5

Answer:

a, b and f

Step-by-step explanation:

To maximize the integral ∫(b-1)x^2(3-x)dx for b > -1, you need to find the value of b that results in the largest integral value. First, integrate the given function with respect to x:

∫x^2(3-x)dx = ∫(3x^2 - x^3)dx = x^3 - (1/4)x^4 + C

Now, evaluate the definite integral from b-1 to b:

[x^3 - (1/4)x^4] evaluated from b-1 to b.

Substitute the limits of integration:

(b^3 - (1/4)b^4) - ((b-1)^3 - (1/4)(b-1)^4)

To maximize this expression, take the derivative with respect to b:

3b^2 - b^3 - 3(b-1)^2 + (b-1)^3

Now, find the critical points by setting the derivative equal to zero and solving for b:

3b^2 - b^3 - 3(b-1)^2 + (b-1)^3 = 0

Solving this equation for b, you will find the value that maximizes the integral. However, due to the complexity of the equation, it's recommended to use numerical methods or a graphing calculator to find the approximate value of b that maximizes the integral.

To find the value of b that maximizes the integral ∫b−1x2(3−x)dx, we need to use the concept of optimization. First, let's integrate the given function:

∫b−1x2(3−x)dx = [x3/3 - x4/4]b−1 = (1/3)[(b−1)3 − (b−1)4/4]

Now, to find the value of b that maximizes this integral, we need to take the derivative of the integrated function with respect to b and set it equal to zero:

d/dx [(1/3)[(b−1)3 − (b−1)4/4]] = (1/3)[3(b-1)2 - 4(b-1)3/4] = (1/3)(b-1)(3-2b)

Setting this equal to zero and solving for b, we get:

(b-1)(3-2b) = 0
b = 1 or b = 3/2

However, we need to ensure that b > -1, so the only valid solution is:
b = 3/2
Therefore, the value of b that maximizes the integral ∫b−1x2(3−x)dx is b = 3/2.

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The given equation is:

It is required to solve for x.

Distribute 6 into the expression in parentheses:

Add 12 to both sides of the equation:

Divide both sides of the equation by 6:

Hence, the correct answer is 3) x=2 2/3.

The correct option is 3.

If the school district surveyed 500 families to see if they were satisfied or not satisfied with the new district website. the maximum number of families who are satisfied with the new district website is approximately 130,771.

First, we need to calculate the confidence level, which is 1 minus the margin of error:

Confidence level = 1 - margin of error

Confidence level = 1 - 0.027

Confidence level = 0.973

Next, we can use the proportion of satisfied families in the sample to estimate the proportion in the population:

Proportion satisfied in population = Proportion satisfied in sample

Proportion satisfied in population = 480/500

Proportion satisfied in population = 0.96

Now we can use this proportion and the confidence level to calculate the maximum number of satisfied families in the population:

Maximum number of satisfied families = Proportion satisfied in population x Total number of families x Confidence level

Maximum number of satisfied families = 0.96 x 140,000 x 0.973

Maximum number of satisfied families ≈ 130,771

Therefore, the maximum number of families who are satisfied with the new district website is approximately 130,771.

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Answer:

12709 balls

Step-by-step explanation:

Given

Dimension of Room = 15 ft by 20 ft by 10 ft

Diameter of Ball = 9.2 inches

Required

Determine the number of balls that can be occupied by the room

First, we need to calculate the volume of the room

This is done by multiplying the dimensions of the room

\(Volume = 15ft * 20ft * 10ft\)

\(Volume = 3000ft^3\)

Next, we calculate the volume of the ball.

The ball is a sphere.

So:

\(Volume = \frac{4}{3}\pi r^3\)

Where

\(r = \frac{1}{2} * Diameter\)

\(r = \frac{1}{2} * 9.2\)

\(r = 4.6\ in\)

So:

\(Volume = \frac{4}{3}\ * \frac{22}{7} * (4.6in)^3\)

\(Volume = 407.88419\ in^3\)

To calculate the number of balls, we then divide the volume of the room by volume of a ball

\(Balls = \frac{3000\ ft^3}{407.88419\ in^3}\)

Convert ft^3 to in^3

\(Balls = \frac{3000 * 1728in^3}{407.88419\ in^3}\)

\(Balls = \frac{3000 * 1728}{407.88419}\)

\(Balls = \frac{5184000}{407.88419}\)

\(Balls = 12709.4899167\)

\(Balls = 12709\) -- approximated

Hence, the room will contain 12709 balls

Answer:

-2

Step-by-step explanation:

17.8 + f =

17.8 + (-19.8)

= -2

Answer:

r = radius

h = height

s = slant height

V = volume

L = lateral surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Calculator Use

This online calculator will calculate the various properties of a right circular cone given any 2 known variables. The term "circular" clarifies this shape as a pyramid with a circular cross section. The term "right" means that the vertex of the cone is centered above the base. Using the term "cone" by itself often commonly means a right circular cone.

Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2.

Below are the standard formulas for a cone. Calculations are based on algebraic manipulation of these standard formulas.

Circular Cone Formulas in terms of radius r and height h:

Volume of a cone:

V = (1/3)πr2h

Slant height of a cone:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Base surface area of a cone (a circle):

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Circular Cone Calculations:

Use the following additional formulas along with the formulas above.

Given radius and height calculate the slant height, volume, lateral surface area and total surface area.

Given r, h find s, V, L, A

use the formulas above

Given radius and slant height calculate the height, volume, lateral surface area and total surface area.

Given r, s find h, V, L, A

h = √(s2 - r2)

Given radius and volume calculate the height, slant height, lateral surface area and total surface area.

Given r, V find h, s, L, A

h = (3 * v) / (πr2)

Given radius and lateral surface area calculate the height, slant height, volume and total surface area.

Given r, L find h, s, V, A

s = L / (πr)

h = √(s2 - r2)

Given radius and total surface area calculate the height, slant height, volume and lateral surface area.

Given r, A find h, s, V, L

s = [A - (πr2)] / (πr)

h = √(s2 - r2)

Given height and slant height calculate the radius, volume, lateral surface area and total surface area.

Given h, s find r, V, L, A

r = √(s2 - h2)

Given height and volume calculate the radius, slant height, lateral surface area and total surface area.

Given h, V find r, s, L, A

r = √[ (3 * v) / (π * h) ]

Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.

Given s, L find r, h, V, A

r = L / (π * s)

h = √(s2 - r2)

Step-by-step explanation:

this is my answer on cone question

Answer:

yes it does

pls give brainly

Step-by-step explanation:

Answer:

Yes the table shows a proportinal relationship

Step-by-step explanation:

1:24

2:48

3:72

4:96

24 divided by 1 is 24

48 divided by 2 is 24

72 divided by 3 is 24

96 divided by 4 is 24

Answer:

Alicia has 5 days of vacation left

Step-by-step explanation:

add the number of days she has used and subtract that from her 23 days of vacation time

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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The mean and standard deviation of this sampling distribution is 1 cm and 0.033 cm, respectively.

The sample mean is the arithmetic mean of all the samples of processor chips. The mean of the sample group is known as the sample mean.

Let X denote the multiple random samples of 35 processor chips and each of which represents the size of the processor chips.

Let 'x' be the sample mean of all the random samples X which represents the size of the processor chips.

The mean of the size of processor chips= μ =1 cm

The mean of the sampling distribution x of sample means is equal to the mean of the sizes of the processor chips μ

Mean of sampling distribution x  = mean of the size of the processor chips μ

⇒ x = μ

   x = 1 cm

The mean of this sampling distribution is 1 cm.

The standard deviation is the amount of variation among the set of values. It is the measure of the dispersion of values in the data set.

The size of the processor chips has a standard deviation of 0.2 cm so σ = 0.2 cm

Let 'x' be the standard deviation of random samples X of the size of processor chips.

Number of random multiple samples of processor chips, n =35

The standard deviation of this sampling distribution can be calculated by using the below formula;

x = σ/\(\sqrt{n}\)

Substituting the value of \sigma as "0.2" cm and the value of "n" as 35 in the above formula, we get;

x = 0.2/√35

x = 0.033 cm

The standard deviation of this sampling distribution is 0.033 cm.

The mean of this sampling distribution is 1cm and the standard deviation of this sampling distribution is 0.033 cm.

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For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

D

Step-by-step explanation:

The first function is true when x<4. We know this because all of the points are to the left of 4, and all these numbers are all less than 4. Also, the circle is open so it should not include 4.

Answer:

c) (-2, -1)

Step-by-step explanation:

to find the midpoint of a line, u have to average its coordinates.

Coordinates of P = (2,6)

Coordinates of Q = (-6, -8)

The formula for finding the midpoint is this:

\((\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2 } )\)

this basically means u average the points. So for the midpoint's x coordinate, it'll be (2-6)/2 = (-4)/2 = -2

midpoint's y coordinate = (6-8)/2 = (-2)/2 = -1

Therefore, the coordinates of the midpoint are (-2, -1), option c

hope this helps!

Answer:

C

Step-by-step explanation:

Remark

Just eye balling the answer it looks to me like the midpoint is (-2,-1). Of course Eyeballing it is not the way to do math, but it tells you where it is approximately.

Given Points

P: (2,6)

Q: (-6,-8)

Solution

midpoint = (x1 + x2)/2, (y1 + y2)/2

midpoint = (2 + - 6)/2, (6 - 8)/2

midpoint = (-4/2, -2/2)

midpoint = (-2,-1)

Answer:

a rational exponent because m/n is a rational equation and is an exponent in this case

Step-by-step explanation:

Answer:

10:4, 15:6, 20:8

hope that helps.

Answer: $2.34

Step-by-step explanation: first add $3.67+$3.67 that equals $7.34

then subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer:

$3.67+$3.67=$7.34

Subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer: Answer

4.0/5

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jdoe0001

Genius

13.9K answers

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check the picture below.

notice, the cross-section is just a 6x36 rectangle, and its area is, well just 6*36.

Step-by-step explanation: hope this helped

3 gallons are the starting value determined by the slope-intercept relation.

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.

To determine how much gas is entering his car each second, we must determine the rate of change:

Rise / Run is the rate of change.

Rate of change: (11 - 3 - 11) / (48 - 0)

Change rate: 8/48 = 1/6 gallons

Making use of the slope-intercept relationship:

Y = b(x) + c(slope); c(initial gas amount)

Choose any (x, y) point pair on the table:

(0, 3)

3 = 1/6x + c 3 = 1/6(0) + c\s3 = 0 + c\sc = 3

As a result, the starting point is 3 gallons.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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