If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how many boxes will you need ?

9514 1404 393

Answer:

  x = 120 dollars

Step-by-step explanation:

The two factors of the revenue function, x and (2160 -9x), will be zero when the values of x are 0 or 2160/9 = 240. These x-intercepts of the revenue function are symmetrical about the axis of symmetry, which is a vertical line through the vertex of the graph. That vertical line is x = (0 +240)/2 = 120.

That is, the revenue will be maximized for a price x = 120 dollars.

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

Answer:

------------------------------

The function f(x) is horizontally stretched when the function f(bx) has the value of b between 0 and 1.

We have a function y = - x - 4.

If we need to find the equation of horizontally stretch of this function by a factor of 5, then our b = 1/5.

So the function is:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

negatives to positives

Answer:

Step-by-step explanation:

25 because when you take 2x times 3x +1

Answer:

150.00

Step-by-step explanation:

a = 1/2bh

a = 1/2(2)(10)

a = 10 \(m^{2}\)

10x15 = 150

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

students in 7th  grade took a standardized math test that they also had taken in 5th grade. the collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In terms of the context, that proves that there is overall improvement in the grades of students.but there is a small difference between mean increase and median increase. While median increased 3 points, mean increased only by 2.5 points.  This implies there exists unusually low level iq students who had unusually low score thus affecting mean to be low.special training should be given to those students.

Answer:

In general, the students increased their standardized math scores from 5th grade to 7th grade. The students might be more familiar with the exam and they have learned more in their math classes.

Step-by-step explanation:

that is the sapmle response on edg.

The value of x for any given value of m is:

x = m/2 - m/(2 × \(18^{m}\))

An equation is a statement that two expressions are equal to each other. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and roots. Equations describe relationships between quantities and solve problems in mathematics, science, engineering, economics, and many other fields.

The equation you provided is:

x + \(m^{2}\)/\(18^{m}\) + x = m

Simplifying the equation by combining like terms on the left side, we get:

2x + \(m^{2}\)/\(18^{m}\) = m

Multiplying both sides  \(18^{m}\) to eliminate the denominator, we get:

2x × \(18^{m}\) + \(m^{2}\) = m × \(18^{m}\)

Rearranging the terms, we get the following:

2x × \(18^{m}\) = m × \(18^{m}\) - \(m^{2}\)

Factoring out an m on the right side, we get:

2x × \(18^{m}\) = m × (\(18^{m}\) - m)

Dividing both sides by 2 × \(18^{m}\), we get:

x = m/2 - m/(2 × \(18^{m}\))

Therefore, we can find the value of x for any given value of m.

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Answer:

35 cm

Step-by-step explanation:

is the correct answer

y = cos (x) y = cos (x) The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Cos function defines in all range the domain of the y = cos(x) will be all real number.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.

The domain of the function y=cos(x) is all real numbers.

Cosine is defined as any angle measure

The range of the angle y will be -1 to 1 which is −1≤y≤1.

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Answer: X googled it

This converts to the number 99

=========================================================

Explanation:

The upper case letter i means the number 1 in roman numerals. The X represents 10. The C represents 100.

I = 1

X = 10

C = 100

When we form something like IX, we have the smaller digit first and then a larger digit next. Whenever this happens, we subtract

IX = 10-1 = 9

Similarly

XC = 100-10 = 90

So we can see that

IX + XC = 9 + 90 = 99

---------------------------

Since XC is larger than IX, we list XC first when it comes to adding

In other words, we need to write IX+XC as XC+IX which collapses to XCIX

Placing XC next to IX without a plus sign implies the plus sign is there. This is effectively how roman numerals work (they are additive)

So,

XCIX = XC+IX = 90+9 = 99

Note how the XC takes care of the tens digit while IX takes care of the units digit.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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The number is -4.

A Linear equation is an equation in which the highest power of all the variables is not more than 1.

Here, we are given that a number when divided by 2 is equal to the number increased by 2.

Let the number be x

then x divided by 2 = x/2

and the number increased by 2 = x + 2

Then, we get the following equation-

x/2 = x + 2

simplifying the equation further we get-

x = 2(x + 2)

x = 2x + (2)(2)

x = 2x + 4

x - 2x = 4

-x = 4

x = -4

Thus, the number is -4.

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His per cent error is 16.¯^6%

Explanation:

Trent estimated his time to be 90m but the Actual time was 75m

Error was 90m−^75m=15m

A Fractional error was then 15m90m

So % error is 1590 ×100=1006%=16.¯^6%

Answer:

His percent error is 16.6 %

Step-by-step explanation:

Trent estimated hie time to be 90m

Actual time was 75m

Error was 90m - 75m = 15m

Fractional error was then 15m/90m (divide)

So % error is 15/90 times 100 = (100/6)% = 16.6%

Answer:

least common denominator of the rational expressions below is x(x-7)(x+3)

Step-by-step explanation:

factotized form of denominators

x²-7x

=x(x-7)

x²-4x-21

=x²-7x+3x-21

=x(x-7)+3(x-7)

=(x+3)(x-7)

i hope this will help you :)

Answer:

least common denominator of the rational expressions below is x(x-7)(x+3)

Step-by-step explanation:

factotized form of denominators

x²-7x

=x(x-7)

x²-4x-21

=x²-7x+3x-21

=x(x-7)+3(x-7)

=(x+3)(x-7)

i hope this will help you :)

Answer:

24

Step-by-step explanation:

Given that:

Baseball album holds 3 baseball cards per page

Number of pages in album = 8

3 baseball cards per page

Number of baseball cards album can hold

(Number of baseball cards per page * number of pages in album)

(3 * 8) = 24

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

After evaluating the given integral by changing to polar coordinates we get \(7 e^8-31\)

As per the details shared in the above question it is given that,

\($x^2+y^2=64$\)

\((x, y)=r(\cos \theta, \sin \theta)\)

\(d A=r d r d \theta.\)

Further solving above we get,

\(r^2=64 \\\Rightarrow & r=8 . \\0 \leq r \leq 8 ; & 0 \leq \theta \leq \pi / 2\)

The polar coordinate,

\(\iint_{R} y e^x d A=\int_0^{\frac{\pi}{2}} \int_0^8 r^2 \sin \theta e^{r \cos \theta} d r d \theta\)

\(& =\int_0^8 \int_0^{\frac{\pi}{2}} r^2 \sin \theta e^{r \cos \theta} d \theta ; \\& =\int_0^8\left[-r e^{r \cos \theta}\right]_0^{\pi / 2} d r\)

\(=\int_0^8 r\left[-e^{r \cos \left(\frac{\pi}{2}\right)}+e^\alpha\right] d r .\)

\(=\int_0^8 r e^r d r-\left.\frac{r^2}{2}\right|_0 ^8\)

Now substituting the value we get,

\(7 e^8-31\)

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Note the correct question should be ,

Evaluate the given integral by changing to polar coordinates.

\(\iint_R y e^x d A\) , where R is the region in the first quadrant enclosed by the circle  \(x^2+y^2=64\).

Part A: The probability of rolling a 5 is 1/6 or approximately 0.167. Part B: the probability of rolling an even number is 3/6 or 1/2 or 0.5.

Probability is a branch of mathematics concerned with measuring the likelihood or chance of an event occurring. It is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. Probability is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event will definitely occur. For example, if the probability of an event is 0.5, it means that the event has an equal chance of occurring or not occurring. Probability is used in various fields, such as science, engineering, finance, and statistics, to make predictions and make decisions based on uncertain events.

Part A:

The number cube has six faces, and each face has an equal chance of landing face-up. Therefore, the probability of rolling a 5 is 1/6 or approximately 0.167.

Part B:

The even numbers on a number cube are 2, 4, and 6. There are three even numbers out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 or 1/2 or 0.5.

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Answer:

Step-by-step explanation:

In 2004, the net income of the Apex Company would be $110 million + ($30 million x 9 years) = $380 million.

The net income of the Best Corporation in 2004 would be $170 million + ($20 million x 9 years) = $350 million.

Therefore, Apex Company earned more in 2004.

To find the year when Apex surpassed Best, we need to set their net incomes equal and solve for time:

110 + 30t = 170 + 20t

10t = 60

t = 6

Therefore, Apex surpassed Best in the year 1995 + 6 = 2001.

Answer:

D will round to 18.96

Step-by-step explanation:

18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation: