Find the rectangular box of maximum volume if the sum of the lengths of the edges (x+y) is 180 cm. (Enter your answer as a comma-separated list of dimensions in cm.) ta

Based on the fact that the slope of the line is undefined, the value of x can be found to be 3.

When a slope is said to be undefined, it means that the slope of the line does not show any horizontal movement. In other words, the value of the x points used to calculate the give a product of zero when subtracted.

The slope of a line can be found by the formula:

= (y2 - y1) / (x2 - x1)

For the slope to be undefined, the denominator needs to be zero:
= (-1 - 7) / (3 - x)

x will need to subtract 3 such that the result would be zero. So x will be 3.

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Answer:

y = -(2/3)m - 2

Step-by-step explanation:

recall that the general equation of a straight line in slope-intercept form is

y = mx + b

where, m is the slope and b is the y - intercept

here we are given that the y - intercept is -2, hence the equation becomes:

y = mx + (-2)

or

y = mx -2

we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)

0 = m(-3) -2

0 = -3m - 2  (add 3m to both sides)

3m = -2  (divide both sides by 3)

m = -(2/3)

hence our equation is now

y = -(2/3)m - 2

Answer:

56.55

Step-by-step explanation:

Answer:

86.25

Step-by-step explanation:

This might not be right but thats what i got.

The solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

To find all solutions to the equation 2sin(θ) = 1 on the interval [0, 2π), we can solve for θ by isolating the sin(θ) term and then using inverse trigonometric functions.

Given: 2sin(θ) = 1

Dividing both sides by 2:

sin(θ) = 1/2

Now, we can use the inverse sine function to find the solutions:

θ = sin^(-1)(1/2)

The inverse sine of 1/2 is π/6. However, we need to consider all solutions on the interval [0, 2π).

Since the sine function has a period of 2π, we can find the other solutions by adding integer multiples of 2π to the principal solution.

The principal solution is θ = π/6. Adding 2π to it, we get:

θ = π/6 + 2π = π/6, 13π/6

So, the solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

These are the two solutions that satisfy the given equation on the specified interval.

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Answer:

5.29 units

Step-by-step explanation:

By Pythagoras theorem:

\( {6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units\)

The type of visualization tool that can be very helpful when the intention is to show relative proportions is pie chart.

In this question,

A pie chart is a circular chart cut by radii into segments illustrating relative magnitudes or frequencies. It is a way of summarizing a set of nominal data or displaying the different values of a given variable.

Pie charts are often used to represent sample data—with data points belonging to a combination of different categories. It make sense to show a parts-to-whole relationship for categorical or nominal data. Each of these categories is represented as a “slice of the pie.”

The size of each slice is directly proportional to the number of data points that belong to a particular category. Pie charts represent relative frequencies by displaying how much of the whole pie each category represents.

Thus, from the definition, the type of visualization tool that can be very helpful when the intention is to show relative proportions is pie chart.

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Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups

Step-by-step explanation:

Answer:

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Dont need to do all. Just do thep

Answer:45

Step-by-step explanation:

Answer:

3/4 of the same number is 90

Step-by-step explanation:

FIND the unknown number by:

48 ÷ 2/5 = 120

TIP: for finding a fractional part of a number, multiply the fraction by the number. Like:

2/5 of 120 also means 2/5 x 120.

Find 3/4 of 120:

3/4 x 120 = 90

I hope I helped!

-Spacemarsh

The standard deviation is 7.35.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79

Determine the difference between each value and the mean and then square the result:

(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)²  + (84- 79)²  + (68 - 79)²  +( 75- 79) ²

64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√432 / 8 = 7.35

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Answer:

660

Step-by-step explanation:

Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:

 From 6.6 × 100

to      660. × 1.00

       660

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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Answer:

Step-by-step explanation:

Because you can't do -x+1 so it would be (1,0) and then you have x^2 +3x-4 which is (-5,6)

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

7.08823529412

Answer:

Step-by-step explanation:

7.08823529412

Answer:

3x

Step-by-step explanation:

x+x+x

=3x

if i am wrong than sorry

Answer:

x = 15

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3x - 5 is an exterior angle of the triangle, then

3x - 5 = x + 25 ( subtract x from both sides )

2x - 5 = 25 ( add 5 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Answer:

40° and 115°

Step-by-step explanation:

x+3x-5+25°=180°(angle on a straight line)

4x+20=180°

4x=180°-20

4x=160°

x=160/4

x=40°

The other angle

3x-5=3(40)-5

120-5=115°

total

40°+25°+115°=180°

The study by the National Institutes of Health suggests that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will affect the demand for chocolate.

This finding will increase the demand for chocolate. The determinant of demand being affected is consumer preferences or tastes. The study provides evidence that regular consumption of chocolate can reduce the risk of Alzheimer's Disease, which is likely to influence consumers' preferences and increase their desire to consume chocolate.

Graphically, the demand curve for chocolate will shift to the right, indicating an increase in demand. The original equilibrium quantity and price are marked on the graph with a regular pencil. Using a colored pencil, the new equilibrium quantity and price are marked similarly. The new equilibrium quantity will be higher, and the new equilibrium price will depend on the relative magnitude of the shift in demand compared to any changes in supply.

As the demand for chocolate increases, assuming the supply remains unchanged, there will be a new equilibrium where the quantity demanded matches the quantity supplied at a higher price. This is because the increased demand puts upward pressure on prices as consumers are willing to pay more for chocolate.

The market adjustment process begins with a shortage of chocolate at the original equilibrium price after the effect. The increased demand exceeds the original supply, resulting in a situation where consumers are willing to buy more chocolate than is available.

In response to this shortage, suppliers observe an increase in inventories at the original price. This encourages suppliers to increase their production of chocolate to meet the rising demand. As suppliers increase their production, the available quantity of chocolate in the market gradually increases.

The increased supply from suppliers helps alleviate the shortage, and as the quantity supplied catches up with the quantity demanded, the market moves toward a new equilibrium. The new equilibrium is reached at a higher price and a higher quantity, reflecting the increased demand for chocolate.

These actions by suppliers to increase their production and meet the rising demand affect consumer purchases by making more chocolate available in the market. As the supply increases, consumers are able to purchase more chocolate at the new equilibrium price. The increased availability of chocolate satisfies the higher consumer demand resulting from the study's findings, allowing consumers to benefit from the potential health benefits of regular chocolate consumption.

Overall, the study suggesting that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will positively impact the demand for chocolate, leading to a new equilibrium with a higher price and quantity.

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Answer:

since it is a right triangle it is 35 i think

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

1225 + b^2 = 1369

b^2 = 44

b = 12

Answer: 12

Answer:

1/3

Step-by-step explanation:

Step-by-step explanation:

this answer is that correct

brain lest

If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lily keeps masks in a display case and the rest on the wall.

365 of her masks are on the wall.

27% of her masks are in the display case

We need to find what is 27% of 365 to solve this problem

27/100×365=0.27×365

=98.55

Now we need to find  the total number of masks in Lily's collection

365+98.55

463.55

467

Hence, 467 are total number of masks in Lily's collection.

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Answer:

x = -1/7

Decimal form = -0.14285714285

Step-by-step explanation:

\(6\left(4x+5\right)=3\left(x+8\right)+3\)

\(24x+30=3x+27\)

\(\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\)

\(24x+30-30=3x+27-30\)

\(\mathrm{Simplify}\)

\(24x=3x-3\)

\(\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\)

\(24x-3x=3x-3-3x\)

\(\mathrm{Simplify}\)

\(21x=-3\)

\(\mathrm{Divide\:both\:sides\:by\:}21\)

\(\frac{21x}{21}=\frac{-3}{21}\)

\(x=-\frac{1}{7}\)

[RevyBreeze]

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Answer:

250,000÷100 is equal to 2,500

Answer:

2500 is the answer

hope it helps u

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Answer and Explanation:

Angles RDY and NDA are both right angles; their measures are both 90°.

This means that:

They are NOT vertical angles because they are not on opposite angles of an intersection. They are NOT complementary because their measures don't add to 90°.

Answer:

0.15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes.

Answer:

  (a)  S = {1, 2, 3, 4, 5, 6, 7}

Step-by-step explanation:

You want the sample space for rolling a 7-sided die.

The sample space is the list of all possible outcomes.

Possible outcomes from rolling a 7-sided die are any of the numbers 1 through 7.

The sample space is ...

  S = {1, 2, 3, 4, 5, 6, 7} . . . . . choice A

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Answer:

\( \frac{ - 1}{2}x - \frac{ - 3}{2} \)

Step-by-step explanation:

I think so