Shanice's Bakery makes two types of wedding cakes: Pink cake, which sells for $30, and Yellow cake,
which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the
Pink cake is 2 hours, while the time is 3 hours for the Yellow cake. There are 420 hours of labor available
for production. How many of each type of cake should be made to maximize revenue?

Answer:

87%

Step-by-step explanation:

I hope this helps!

Answer:

3/9 or 1/3 chance

Answer:

6

Step-by-step explanation:

the other marbles if you add them it equals to 6 so you have a 6 chance of picking it

\(\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}\)

\(\\ \sf\longmapsto sin\Theta=\dfrac{9}{10}\)

\(\\ \sf\longmapsto sin\Theta=0.9\)

\(\\ \sf\longmapsto sin^{-1}\Theta=sin^{-1}(0.9)\)

\(\\ \sf\longmapsto \Theta=64.15°\)

Answer:

• from trigonometric ratios:

\({ \boxed{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ \)

• opposite → 9 cm

• hypotenuse → 10 cm

\({ \rm{ \sin( \theta) = \frac{9}{10} }} \\ \\ { \rm{ \theta = { \sin }^{ - 1}( \frac{9}{10}) }} \\ \\ { \boxed{ \rm{ \theta = 64.2 \degree}}}\)

To paint all sides of the box, you would need approximately 344 square meters of paint.

To calculate the amount of paint needed to paint all sides of the box, we first need to find the total surface area of the box.

The box has five sides: top, bottom, front, back, and two sides.

Given the dimensions:

Top: 4m x 13m

Bottom: 4m x 13m

Front: 4m x 4m

Back: 4m x 4m

Sides (2): 4m x 11m.

To calculate the surface area, we sum the areas of all the sides:

Surface Area = (4m x 13m) + (4m x 13m) + (4m x 4m) + (4m x 4m) + (4m x 11m) + (4m x 11m)

Surface Area = 52m² + 52m² + 16m² + 16m² + 44m² + 44m²

Surface Area = 224m² + 32m² + 88m²

Surface Area = 344m²

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1. The equation of the line in slope-intercept form is:

y = -5x - 16

2. The equation of the line in standard form is: -x - 3y = -7

(a) To write the equation of the line passing through (-4,4) with a slope of -5 in slope-intercept form (y = mx + b), we can substitute the given values into the equation and solve for the y-intercept (b).

The slope-intercept form is:

y = mx + b

Given:

m = -5

x = -4

y = 4

Substituting the values into the equation:

4 = -5(-4) + b

Simplifying:

4 = 20 + b

b = 4 - 20

b = -16

Therefore, the equation of the line in slope-intercept form is:

y = -5x - 16

(b) To write the equation of the line passing through (-1,4) and parallel to the line x + 3y = 7, we need to determine the slope and use the point-slope form or standard form.

Given:

Point: (-1,4)

Parallel line: x + 3y = 7

To find the slope, we can rearrange the equation x + 3y = 7 to solve for y in terms of x:

3y = -x + 7

y = (-1/3)x + 7/3

The slope of the parallel line is -1/3.

(a) Slope-intercept form:

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) = (-1, 4), and m = -1/3, we have:

y - 4 = (-1/3)(x + 1)

y - 4 = (-1/3)x - 1/3

y = (-1/3)x + 11/3

Therefore, the equation of the line in slope-intercept form is:

y = (-1/3)x + 11/3

(b) Standard form:

To convert the equation to standard form (Ax + By = C), we can multiply both sides of the equation by 3 to eliminate the fraction:

3y = -x + 7

-x - 3y = -7

Therefore, the equation of the line in standard form is:

-x - 3y = -7

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Answer:

sin x=55/73

Sinz=48/73

cosx=48/78

cosz=55/73

Step-by-step explanation:

Using SOHCAHTOA

Answer:

\(\boxed {x = \sqrt{3} - 3}\)

\(\boxed {x = -\sqrt{3} - 3}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(x^2 + 6x + 6 = 0\)

-When you use the quadratic formula ( \(\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}\) ), it would give you two solutions. So, use the quadratic formula:

\(x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}\)

-Simplify \(6\) by the exponent \(2\):

\(x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}\)

\(x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}\)

-Multiply both \(-4\) and \(6\):

\(x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}\)

\(x = \frac{-6\pm \sqrt{36 - 24}}{2}\)

-Add \(34\) and \(-24\):

\(x = \frac{-6\pm \sqrt{36 - 24}}{2}\)

\(x = \frac{-6\pm \sqrt{12}}{2}\)

-Take the square root of \(12\):

\(x = \frac{-6\pm \sqrt{12}}{2}\)

\(x = \frac{-6\pm 2\sqrt{3}}{2}\)

-Now solve the equation when \(\pm\) is plus, So, add \(-6\) to \(2\sqrt{3}\):

\(x = \frac{-6\pm 2\sqrt{3}}{2}\)

\(x = \frac{2\sqrt{3} - 6}{2}\)

-Divide  \(-6 + 2\sqrt{3}\) both sides by \(2\):

\(x = \frac{2\sqrt{3} - 6}{2}\)

\(\boxed {x = \sqrt{3} - 3}\) (Answer 1)

-Now solve the equation when \(\pm\) is minus. So, Subtract \(2\sqrt{3}\) from \(-6\):

\(x = \frac{-2\sqrt{3} - 6}{2}\)

-Divide \(-2\sqrt{3} - 6\) by \(2\):

\(x = \frac{-2\sqrt{3} - 6}{2}\)

\(\boxed {x = -\sqrt{3} - 3}\) (Answer 2)

The solution to  to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4 is 2 log₂ (x³ - 8) - 2 log₂ x = -2.

A logarithm expression is an expression in which the unknown value is expressed as the power to which a base number must be raised to produce a given number. For example, the equation log₂ 8 = 3 can be expressed as 2³ = 8.

A logarithm function is a type of mathematical function that calculates the logarithm of a given number. Logarithm functions are commonly used in mathematics, engineering, and science to simplify calculations. Logarithm functions can also be used to convert between different units of measurement.

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complete question:

What is the solution to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4.

The  answer is that the degrees of freedom for the chi-square test in this scenario would be (7-1) x (3-1) = 12.

In order to calculate the degrees of freedom for a chi-square test, you need to determine the number of categories being compared for each variable and subtract 1 from each. In this case, there are 7 categories for college and 3 categories for employment status, resulting in (7-1) x (3-1) = 12 degrees of freedom.

Long Answer: The chi-square test is a statistical method used to determine whether there is a significant association between two categorical variables. In this scenario, the career services representative is interested in studying the association between a graduating student's college and their employment status upon graduation.

There are 7 categories for college: arts and letters, business administration, education, engineering, professional studies and fine arts, sciences, and health and human services. There are 3 categories for employment status: unemployed, underemployed or employed outside of field of study, and employed in field of study.

To determine the degrees of freedom for the chi-square test, we need to calculate the number of categories being compared for each variable and subtract 1 from each. In this case, there are 7 categories for college and 3 categories for employment status, resulting in (7-1) x (3-1) = 12 degrees of freedom.

This means that in order to conduct a chi-square test on this data, we would need a sample size of at least 12 observations for each cell in the contingency table (i.e., each combination of college and employment status). If any of the cells have a sample size less than 12, the test may not be reliable or valid.

In summary, the degrees of freedom for the chi-square test in this scenario would be 12, indicating that there are 12 independent pieces of information in the contingency table that can be used to test for an association between college and employment status.

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The statement that a box plot graphically shows the 10th and 90th percentiles is False.

A box plot is a graphical representation of a data set that displays key summary statistics, such as the median, quartiles, and potential outliers. It is also known as a box-and-whisker plot. The statement that a box plot graphically shows the 10th and 90th percentiles is False.

In a box plot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower and upper quartiles, representing the 25th and 75th percentiles respectively, are marked by the lower and upper edges of the box. The median, or the 50th percentile, is represented by a line or another symbol within the box.

While the box plot provides information about the spread of the data, it does not directly show the 10th and 90th percentiles. However, by extending the whiskers, which represent the range of the data, you can get a sense of the minimum and maximum values. The whiskers typically extend to the most extreme data points that are within a certain range, such as 1.5 times the IQR.

So, in summary, a box plot does not explicitly show the 10th and 90th percentiles, but it does provide information about the range of the data, which can give you an idea of the overall distribution.

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.

Answer:

no you will be $10 over budget

Step-by-step explanation:

start with $100

take away $35 for eating out = $65

take away $15 for movies = $50

then take away $60 for concerts

that means you willl be over $10

Answer:

it's 28.899 because it's more tan 1200

Answer:

(¡)...2 + 24

= 26

¡¡)..3+24

27

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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Answer:

Step-by-step explanation:

milă (terestră) = 1.609,344 m = 1.760 yards = 63.360 inches (țoli)

1 „milă romană” (mille passus) = 1.000 (passus) (1 pasus = doi pași, pas dublu) circa. 1.470 - 1.490 m

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

The total cost of the paint increased by the percentage of profit

expected gives the total price at which Aadi should sell the paint.

Response:

The given ratio of the paint is;

Blue : yellow = 7:3

The cost of a 50-litre container of blue paint = £164

The cost of a 20-litre container of yellow paint = £84.80

The volume of the tins in which the green paint is to be sold = 5-liter

The profit on each tin = 37.5%

Required:

The amount each (5-liter) tin of green paint should be sold.

Solution:

Let X represent the volume of blue paint and let Y represent the volume

of yellow paint in the mixture, we have;

Therefore;

\(X = \mathbf{ \dfrac{7}{3} \times Y}\)

A multiple of 50, 20 and 3 is 300

If Aadi buts 15 containers of yellow paint = 300 L, we have;

\(The \ volume \ of \ blue \ paint, \ X = \dfrac{7}{3} \times 300 = 700\)

The number of tins of blue paint is \(\dfrac{700 \ L}{50 \ L/container}\) = 14 containers

The total cost of the paint bought is therefore;

15 × £84.8 + 14 × £164 = £3,568

Volume of the paint = 300 L + 700 L = 1000 L

The amount at which the paint is sold = 1.375 × £3,568 = £4,906

\(The \ price \ of \ each \ 5\, L \ tin = \dfrac{\£4,906 }{1000 \, L} \times 5 \, L = \mathbf{ \£24.53}\)

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Answer: ( 2 x 7 ) a + 2

Step-by-step explanation:

Step-by-step explanation:

hope you can understand

Answer:

6 boxes

Step-by-step explanation:

64 sweaters ---------> 8 boxes

48 sweaters ---------> 8 * 48/64 boxes

48 sweaters ---------> 6 boxes.

Hope it helps!!!

Answer:

6 boxes

Step-by-step explanation:

Divide the total number of sweaters by the number of boxes there are. The answer lets us know how many sweaters are in each box.

64 / 8 = 8

Now, we can divide 48 sweaters by how many sweaters are in each box. This answer lets us know how many boxes they should take.

48 / 8 = 6

Answer:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Ans:- three and one fourth + 2x ≥ 6

Answer:

General form of a linear equation:  \(y=mx+b\)

(where m is the slope and b is the y-intercept)

A linear equation has a constant rate of change which is represented by the slope (m).  It is the rate at which one quantity is changing with respect to another quantity.

Part (a)

Given equation:  \(y=-9x+55000\)

where:

The rate of change (slope) is -9 and represents that for every 1 mile driven, the value of the car decreases by $9.

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial value of car is $55,000.

Part (b)

To find the number of miles at which the car be valued at $35,002, set the equation to $35,002 and solve for x:

\(\implies -9x+55000=35002\)

\(\implies -9x=35002-55000\)

\(\implies -9x=-19998\)

\(\implies x=\dfrac{-19998}{-9}\)

\(\implies x=2222\)

Therefore, the car will be valued at $35,002 after 2,222 miles.

Given equation:  \(y=0.39x+2.55\)

where:

The rate of change (slope) is 0.39 and represents that for every increase of 1 oz of weight in carrots, the price of the carrots increases by $0.39

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial cost of the carrots is $2.55.

Part (b)

To find the weight of carrots you can buy for $6.06, set the equation to $6.06 and solve for x:

\(\implies 0.39x+2.55=6.06\)

\(\implies 0.39x=6.06-2.55\)

\(\implies 0.39x=3.51\)

\(\implies x=\dfrac{3.51}{0.39}\)

\(\implies x=9\)

Therefore, you can buy 9 oz of carrots for $6.06

Part (c)

To find out how much it costs to buy 21 oz of carrots, substitute x = 21 into the equation and solve for y:

\(\implies y=0.39(21)+2.55\)

\(\implies y=10.74\)

Therefore, it costs $10.74 to buy 21 oz of carrots.

Answer:

124

Step-by-step explanation:

Answer:

vggx yvhvjvd

Step-by-step explanation:

vhbbgu hg h

Answer:

It is 28

Step-by-step explanation:

so

Answer:

D

Step-by-step explanation:

8x7x5= 280

The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.

Expression:

An expression is set of numbers or variables combined using the operations +, -, * and /.

Given,

Here we have the expression (5x²y²){-4xªy³) =−20xªy°.

Now, we have to the value of a and b which make both equation as equal.

In order to get the value a and b, first, we have to solve the expression in the left hand side,

To solve this type of equation, the first step is to combine the like terms, then we get,

=> (5x²y²){-4xªy³)

=> (5 x -4) (x² xᵃ) (y² y³)

Now, we have to do the multiplication on it, then we get,

=> -20 xᵃ⁺² y²⁺³

=> -20xᵃ⁺²y⁵

Now, we have to equate both LHS and RHS, then we get,

=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ

While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.

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The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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As the level of significance increases, the probability of making a type II error decreases.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

If the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type II error will decrease.

Type II error occurs when we fail to reject a null hypothesis that is actually false. It is the probability of accepting a false null hypothesis. By increasing the level of significance, we are making it easier to reject the null hypothesis, which in turn decreases the probability of accepting a false null hypothesis.

Hence, as the level of significance increases, the probability of making a type II error decreases.

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The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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