how many ways are there to choose a president, vice president, and treasurer of a 7- member club, if no person can hold more than one oce?

The value of M(2) from the table is 6.

It should be noted that from the table that was given, the function given is illustrated as:

M(t) = -2t + 10

15. Therefore, the value of M(2) from the information will be:

M(t) = -2t + 10

M(2) = -2(2) + 10

M(2) = -4 + 10

M(2) = 6

It should be noted that M(2) implies the amount of money that will be left with the person in the lunch account after the second day.

17. The value of t when Mt is equal to 4 will be:

-2t + 10 = 4

-2t = 4 - 10

-2t = -6

t = -6/-2 = 3

The value of t is 3.

18. The value of t when Mt will be 0 will be:

-2t + 10 = 0

-2t = -10

t = 5

It should be noted that at this point, the person has spent all his money.

19. The value of M7 will be:

M(t) = -2t + 10

M(t) = -2(7) + 10

= -4

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Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

Answer:

there are 5

Step-by-step explanation:

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

Answer:

I need help on that too

Step-by-step explanation:

but i multiplied and got 1,050

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis

The maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

To find the maximum displacement of the mass in the undamped spring-mass system, we can use the concept of impulse-momentum. First, let's convert the given weights to mass units. 17.9 lb is approximately equal to 8.13 kg, and 4.0 lb is approximately equal to 1.81 kg. The impulse J can be calculated by multiplying the force (4.0 lbs) by the time duration (0.4 seconds), which gives us J = 1.6 lb·s. The maximum displacement x can be determined using the formula x = J / (mω), where m is the mass (8.13 kg) and ω is the angular frequency (2π / T), with T being the natural period (0.4 seconds). Substituting the values into the formula, we have: x = (1.6 lb·s) / (8.13 kg * 2π / 0.4 s).

Evaluating the expression, we find: x ≈ 0.02 inches. Therefore, the maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

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Answer:

80 total students

Step-by-step explanation:

hope this helps!

Answer:

80

Step-by-step explanation:

If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80

The farmer should plant 40 trees per acre to maximize her yield to harvest.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let F be the number of fruit per acre  

\(F = (70 + x) \times (30 - 3x) \\F = 70 \times 30 - 70 \times 3x + 30 \times x - 3x^2 \\F = 2100 - 210 x + 30x - 3x^2 \\F = 2100 - 180x - 3x^2\)

Factor out the 3 and complete the square

\(F = -3x^2 - 180x + 2100\\F = -3 \times (x^2 + 60x - 700) \\F = -3 \times (x^2 + 2 * 30x + 30^2 - 30^2 - 700) \\F = -3 \times ((x + 30)^2 - 500 - 900) \\F = -3 \times ((x + 30)^2 - 400) \\F = -3 \times (x + 30)^2 + 1200\\\)

So the vertex is at (-30, 1200)  

70 - 30 = 40  

The farmer should plant 40 trees per acre to maximize her yield to harvest.

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Answer:

x = 11

Step-by-step explanation:

1) A line is equal to 180°. Subtract 70° from the 180°:

180 - 70 =

110

2) To find x set 7x +33 equal to 110:

110 = 7x +33

3) Subtract 33 from both sides:

77 = 7x

4) Divide both sides by 7

x = 11

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given vertex:

(-2,3) and (-1,0)

finding slope:

\(\bold{Formula:}\\\\\bold{m=\frac{y_2-y_1}{x_2-x_1}}\)

\(y_2=0\\y_1=3\\x_2=-1\\x_1=-2\)

\(\ M= \frac{0-3}{-2-(-1)}\\\\\ M= \frac{0-3}{-2+1}\\\\\ M= \frac{-3}{-1}\\\\\ M= 3\)

According to the slope value, its value is greater than 1 that's why the graph has been dilated.

Answer:

Yes, the graph has been dilated.

Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0.

Solve the equation to get a = –3.

Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.

Step-by-step explanation:

Step-by-step explanation:

Edg 2020

To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

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Answer:

d = -14

Step-by-step explanation:

\(d-6=-20\\\\d-6+6=-20+6\\\\\boxed{d=-14}\)

Hope this helps.

Answer:

d = –14

Step-by-step explanation:

Simplify the equation to find d:

d – 6 = –20

d = –20 + 6

d = –14

Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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The type of model selection method that the scientist should use is a stepwise regression.

In statistics, stepwise regression is a method of fitting regression models in which the selection of predictive variables is done automatically. Each step considers a variable for addition to or subtraction from the set of explanatory variables based on some predetermined criterion.

To determine which predictors are significant in the model to predict movie success, we should use the step-wise regression method which is a model selection method.

Stepwise regression is a method for testing the statistical significance of each independent variable in a linear regression model iteratively. The forward selection method begins with nothing and gradually adds each new variable, testing for statistical significance along the way.

The underlying goal of stepwise regression is to identify a set of independent variables that significantly influence the dependent variable through a series of tests (e.g., F-tests, t-tests). Stepwise regression has the following advantages: The ability to manage a large number of potential predictor variables while fine-tuning the model to select the best predictor variables from among the available options. It is faster than other methods of automatic model selection.

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The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

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The statement is true. If x represents a random variable following a normal distribution and the probability that x is less than 5.3 is 0.79, then the probability that x is greater than 5.3 is indeed 0.21.

In a normal distribution, the area under the curve represents the probabilities of different events occurring. The total area under the curve is equal to 1 or 100%.

Since the probability of x being less than 5.3 is given as 0.79, this means that the area under the curve to the left of 5.3 is 0.79 or 79%.

Since the total area under the curve is 1, the remaining area to the right of 5.3 is 1 - 0.79 = 0.21 or 21%. Therefore, the probability that x is greater than 5.3 is indeed 0.21.

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The number of pieces that Marco places is given as follows:

30 pieces.

The number of pieces that Marco places is obtained applying the proportions in the context of the problem.

The fractions of each person are given as follows:

Hence the fraction composed by these three people is given as follows:

1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.

Hence Michele's fraction is given as follows:

1 - 0.7 = 0.3.

As Michele arranges 90 pieces, the total number of pieces is given as follows:

0.3x = 90

x = 90/0.3

x = 300.

Marco arranged one tenth, hence the number is:

0.1 x 300 = 30.

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Answer:

128

Step-by-step explanation:

16x(4)(2)=16x8=128

Answer:

∠ 1,3,5,7 = 32°

∠2,4,6,8,= 148°

Step-by-step explanation:

From the figure attached,

AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

therefore,

m∠1,3,5,7 = 32°

m∠2,4,6,8,= 148°

Answer:

8.2 miles

Step-by-step explanation:

too much to type out again lol

Distance between EF is 20.09 units.

The Distance between two points (a, b) and (c, d) is

D= √(c- a)² + (d- b)²

Given:

E=  (-4,2)

F= (16,4)

Distance between EF

= √(16+ 4)² + (4- 2)²

= √400 + 4

= 20.09

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Answer: 71/125

Step-by-step explanation:

\(\sin^3 x+\cos^3 x=(\sin x+\cos x)(\sin^2 x+\cos^2 x-\sin x \cos x)\\\\=\left(\frac{2}{5} \right)(1-\sin x \cos x)\)

To find \(\sin x \cos x\), we can notice that \((\sin x +\cos x)^2 =\sin^2 x+\cos ^2 x+\boxed{2\sin x \cos x}\)

Applying this, we get that:

\((2/5)^2 =1+2\sin x \cos x\\\\-\frac{21}{25}=2\sin x \cos x\\\\\sin x \cos x=-\frac{21}{50}\)

\(\therefore \sin^3 x+\cos^3 x=(2/5)(71/50)=\frac{71}{125}\)

Therefore, the general solution of the given second-order differential equation is: y = c1 e^(0t) + c2 e^(-1/2 t).

To find the general solution of the given second-order differential equation 2y'' + y' = 0, we can assume that the solution is of the form y = e^(rt), where r is a constant to be determined.

First, we find the first and second derivatives of y with respect to t:

y' = re^(rt)

y'' = r^2 e^(rt)

Substituting these expressions into the differential equation, we get:

2r^2 e^(rt) + r e^(rt) = 0

Factoring out e^(rt), we get:

e^(rt) (2r^2 + r) = 0

This equation will be satisfied if either e^(rt) = 0 or 2r^2 + r = 0.

Since e^(rt) is never zero, we must have:

2r^2 + r = 0

Factoring out r, we get:

r(2r + 1) = 0

So, either r = 0 or r = -1/2.

Therefore, the general solution of the given second-order differential equation is:

y = c1 e^(0t) + c2 e^(-1/2 t)

Simplifying this expression, we get:

y = c1 + c2 e^(-1/2 t)

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Answer:

25 cents

Step-by-step explanation:

60 cents/12 inches = 5 cents/1 inch (5 cents per inch)

If there are 5 inches of wire, and each inch costs 5 cents, it will cost 25 cents total. (5 cents x 5 inches)

Hope this helps :)

The plane which intersect plane GFL and the plane contain A nd C is CAB

Answer: 1) CAB

Answer: 16 inches

Step-by-step explanation: well, if you do 76/19, it gives you four, so the ratio is 1-inch costs 4 cents.

Then you just have to do 64/4, which gives you 16. You can buy 16 inches of wire with 64 cents

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

We have to simply find how much 48 meters will be when converted in feet.

1 meter = 3.28 feet

48 meter = 48 \(\times\) 3.28 = 157.44 feet