Emmanuel weighs 150 pounds and he has normal liver function. It will take him approximately ________ hours to metabolize one standard drink

To construct a bar chart in Excel, choose the "Column" chart type from the Chart Tools. It is ideal for comparing data across different categories or groups using vertical bars.

To construct a bar chart using Excel's Chart Tools, you would select the "Column" chart type. This type of chart is ideal for comparing data across different categories or groups. It uses vertical bars to represent the values of each category, allowing for easy visual comparison.

On the other hand, "Pie" charts are useful for displaying proportions or parts of a whole. They divide a circle into slices, with each slice representing a category or data point.

"Scatter" charts are used to plot and analyze the relationship between two continuous variables. They are helpful for identifying patterns or correlations between the variables.

"Line" charts are commonly used to display trends or changes over time. They connect data points with lines, making it easy to observe and analyze trends or patterns in the data.

When creating a bar chart in Excel, ensure that you select the appropriate chart type based on the nature and purpose of your data.

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Answer:

y + 3 = (6)(x - 6)

Step-by-step explanation:

The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.

Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6.  That is +6.  

Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:

y + 3 = (6)(x - 6)

Answer:

The solution is x = 3 and y = 21

Step-by-step explanation:

Here, we want to solve the system of linear equations, simultaneously

Since we have 2 y

Then we can equate both and that gives;

4x + 9 = 2x + 15

4x-2x = 15-9

2x = 6

x = 6/2

x = 3

To get y, we simply substitute x into any of the equation

That will be;

y = 2(3) + 15

y = 6 + 15

y = 21

Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

\(y = -16x^2 + 212x + 139\) ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

\(\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s\)

Pu x = 6.625 in equation (1).

\(y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet\)

So, the maximum height reached by the rocket is equal to 841.25 feet.

Answer:

\(SU = 20\)

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

\(SU = SX + UX\)

and

\(SX = UX\)

Substitute \(SX = UX\); The expression becomes

\(SU = UX + UX\)

Recall that \(UX = 10\);

So, the above expression becomes

\(SU = 10 + 10\)

\(SU = 20\)

Hence, the length of is 20

Answer:

Everything looks good and correct

Step-by-step explanation:

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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There are C(n,3) terms in this formula that are intersections of 3 sets.

What is combination?

The combination is outlined as “An arrangement of objects wherever the order within which the objects square measure chosen doesn't matter.” the mix means that “Selection of things”, wherever the order of things has no importance.

Main body:

According to inclusion-exclusion principle :

Cardinatlity of a₁∪ a₂∪. ∪aₙ is the sum of the individual cardinalities minus the sum of the cardinalities of intersections of any two sets plus the sum of the cardinalities of intersections of any three sets minus the sum of the cardinalities of intersections of any four sets and so on , which means

n(a₁∪a₂∪a₃) = n(a₁) +n(a₂) + n(a₃) - n(a₁∩a₂) - n(a₂∩ a₃) - n(a₁∩ a₃) +                                                              n(a₁∩a₂∩a₃)

so in this example ,

intersections of 3 sets is 1 where n = 3

So correct option is C(n,3).

Hence correct option is A.

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The correct answer is D. z = -0.86.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It is calculated using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

In this case, the given value is 72, the mean is 81, and the standard deviation is 2. Plugging these values into the formula, we have z = (72 - 81) / 2 = -9 / 2 = -4.5. Therefore, the z-score for the value 72 is -4.5.

However, the options provided are not consistent with the calculated z-score. Option D, z = -0.86, seems to be the closest approximation to the correct value of -4.5. It is possible that there was an error in the options provided, and D is the intended answer. It is important to note that the z-score is typically expressed as a decimal or a fraction, rather than a negative value. Therefore, the correct answer can be interpreted as z = -0.86 or z ≈ -4.5, depending on the desired level of precision.

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Answer:

{-1, 3, 7, 11, 15}

Step-by-step explanation:

we just substitute the set of even numbers in the function f(x) given to get our corresponding set of odds numbers

for 0

2(0)-1=0-1=-1

for 2

2(2)-1=4-1=3

for 4

2(4)-1=8-1=7

for 6

2(6)-1=12-1=11

for 8

2(8)-1=16-1=15

Answer:

\(\huge\boxed{\sf \$ \ 444.44}\)

Step-by-step explanation:

Tip = $40

This tip was 9% of the total bill.

Let the total bill be x.

So,

9% of x = 40

Key: "of" means "to multiply", "%" means "out of 100"

So,

\(\displaystyle \frac{9}{100} \times x = 40\\\\0.09 \times x =40\\\\Divide \ both \ sides \ by \ 0.09\\\\x = 40/0.09\\\\x = \$ \ 444.44\\\\\rule[225]{225}{2}\)

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

The model could be improved by using a step function.

Answer:

\(a(12) = 364\) means that 364 avocados are produced by a particular tree at 12-th year.

Step-by-step explanation:

Let \(a\) the number of avocados that a particular tree produces at a year. \(a(y)\) is the number of avocados that a particular tree produces at y-th year. Hence, \(a(12) = 364\) means that 364 avocados are produced by a particular tree at 12-th year.

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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To make h subject of the formula, the other expressions in the equation is expressed to equal h as follows:

The steps in making h subject of the formula in the given equation are as follows:

Step 1: Add \(pi \sqrt{x} (\frac {h-0.5}{1-h})\) to both sides

\(E + \pi \sqrt{x} (\frac {h-0.5}{1-h})= 1\)

Step 2: subtract E from both sides

\(\pi \sqrt{x} (\frac {h-0.5}{1-h}) = 1 + E\)

Step 3: divide both sides by π√x

h - 0.5/1 - h = 1 + E/π√x

Step 4: cross multiply

(h - 0.5)(π√x) = (1 + E)(1 - h)

hπ√x -0.5π√x = 1 - h + E - hE

Step 5: collect like terms

hπ√x + h + hE = 1 + E + 0.5π√x

h(π√x + 1 + E) = 1 + E + 0.5π√x

Step 6: divide both sides by (π√x + 1 + E)

h = (1 + E + 0.5π√x/)(π√x + 1 + E)

In conclusion, in making h subject of the formula, the other expressions in the equation is expressed to equal h.

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Answer:

-12.9

Step-by-step explanation:

Answer:

OD is the answer

Step-by-step explanation:

y - 3(x - 1) = 0

y - 3x + 3 = 0

y = 3x - 3

therefore, slope = 3 and y intercept = -3

Using the information provided, no triangle will be formed.

This is shown by, summing the angles

The number of triangles to be formed considering the given angles is achieved knowing the basic properties of triangle which is:

With this knowledge, we sum the angles of the triangle

= 112 + 54 + 16

= 182

No triangle is formed as the sum is not equal to 180 degrees

If the angles are summed to 180 degrees, this is a criterion of formation of unlimited number of triangle

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Answer:

t + 11 = 29

Step-by-step explanation:

Since you are combining your total and your friend's total marbles together, this will be an addition equation.

t + 11 = 29

Answer:

\(6\sqrt{5}-4\sqrt{15}\)

Step-by-step explanation:

\(\sqrt{5} \times (6 - 4\sqrt{3} )\)

\(\sqrt{5}\times 6-\sqrt{5}\times4\sqrt{3}\)

\(6\sqrt{5}-4\sqrt{5}\sqrt{3}\)

\(6\sqrt{5}-4\sqrt{5 \times 3}\)

\(6\sqrt{5}-4\sqrt{15}\)

Answer:

6\(\sqrt{5}\) - 4 \(\sqrt{15}\)

Step-by-step explanation:

1. Multiply each term in the parentheses by \(\sqrt{5}\)

2. calculate the product

3. solution :)

f(t) = t3 − 8t2 + 25t + 10. When all the parts are put together, the equation represents a combination of the 3 components, representing a law of motion for a particle.

This equation represents a law of motion, where t is measured in seconds and s in feet. This equation can be broken down into 3 parts; t3, -8t2 and 25t + 10. The t3 part of the equation represents a cubic function, which is usually associated with acceleration. The -8t2 part is a quadratic function, which is typically associated with velocity. Finally, the 25t + 10 is a linear function, which is usually associated with displacement. When all the parts are put together, the equation represents a combination of the 3 components, representing a law of motion for a particle.

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Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

Rolling two dice and obtaining a perfect square sum and obtaining an even sum are not independent events i.e. the occurrence of one affects the probability of the other occurring.

To determine whether events a and b are independent, let's first find the probability of event a, the sum of the dice being a perfect square. There are 36 possible outcomes when rolling two dice, and 5 of them give a sum of 4 (1+3, 2+2, 3+1, 1+3, 2+2), and 4 of them give a sum of 9 (3+6, 4+5, 5+4, 6+3), so a total of 9 outcomes give a perfect square sum. Therefore, the probability of event a is 9/36 = 1/4.

Now let's find the probability of event b, the sum of the dice being even. There are 18 outcomes that give an even sum: (1+1, 1+3, 1+5, 1+7, 2+2, 2+4, 2+6, 3+3, 3+5, 3+7, 4+4, 4+6, 5+5, 5+7, 6+6, 7+7, 4+2, 6+2). Therefore, the probability of event b is 18/36 = 1/2.

To determine whether events a and b are independent, we need to check whether the probability of event a changes when we know that event b has occurred. If events a and b are independent, then the probability of a given that b has occurred should be the same as the probability of a without considering b.

Let's calculate the conditional probability of event a given that event b has occurred. If the sum of the dice is even, then the only possible ways to get a perfect square sum are with 2+2 or 6+2, so there are only 2 outcomes out of the 18 that satisfy both events. Therefore, the conditional probability of event a given that event b has occurred is 2/18 = 1/9.

Since the conditional probability of a given b is not equal to the probability of a without considering b, we can conclude that events a and b are not independent.

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Answer:

55 boxes of ice cream

Step-by-step explanation:

Tubs of ice cream : boxes of ice cream = 3 : 1

If the factory makes 165 tubs of ice cream in a day, how many boxes of ice cream bars were made?

Boxes of ice cream made in a day = x

Tubs of ice cream : boxes of ice cream = 165 : x

Equate both ratios to find x

3 : 1 = 165 : x

3/1 = 165/x

Cross product

3 * x = 1 * 165

3x = 165

x = 165/3

x = 55

Boxes of ice cream made in a day = 55

For equation of line y = 8.5x + 6: the slope = 8.5 and the y-intercept is (0, 6)

The correct answer is an option (d)

We know that the slope-intercept form of equation of line is:

y = mx + c

where m is the slope of the line

and c is the y-interecpt of the line

Here, the equation of the line is y = 8.5x + 6

Comparing equation of line y = 8.5x + 6 with the slope-intercept form of equation of line y = mx + c we get,

m = 8.5

and c = 6

Therefore, the slope = 8.5 and y-intercept = (0, 6)

The correct answer is an option (d)

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Answer:

percent increase = 12.5%

Step-by-step explanation:

percent change = (new value - old value)/(old value) * 100%

percent change = (81 - 72)/(72) * 100%

percent change = 9/72 * 100%

percent change = 0.125 * 100% = 12.5%

Since the percent change is a positive number, it is a percent increase.

Answer:

D

Step-by-step explanation:

one third of 15 is 5

15 + 5 = 20

Student B is 20 years old, 5 years older than student A

10 years ago, Student B was 10 and Student A was 5.

The number of years ago was student B twice as old as student A should be 10 when the student A age is given.

Since

Student A is 15 years old. Student B is one-third older

One-third of 15 should be 5

So, total be like

= 15 + 5

= 20

So, the number of years  be like

= 20 - 10

= 10

hence, The number of years ago was student B twice as old as student A should be 10.

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Answer:

2/24 ft3 there you go mark brainlest