please answer these 3 question

Step-by-step explanation:

s is the distance

v is the speed

t is the time

Answer:

I am pretty sure it is 72, sorry if i'm wrong:)

Step-by-step explanation:

Answer:

Exact form: 36(3.14)

Step-by-step explanation:

6 x 6 x (3.14 or pie)

36(3.14)

Decimal form: 113.097 = 113.1

Answer: 28.3

Step-by-step explanation:

6/2 = 3(radius)

3*3*3.14 = 28.26

Round up for tenths place

28.3

The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is  52!/(47! * 5!).

The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.

The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.

Order is irrelevant, therefore we utilize a combination (instead of a permutation)

We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)

so we obtain:

n C r = r!*(n-r)!/(n!)

52 C 5 = (52!)/(5!*(52-5)!)

52 C 5 = (52!)/((52-5)!*5!)

The complete question is:-

Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?

a) (52-5)! / 52!5!

b) 52! / (52-5)!

c) 52! / (52-5)!5!

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Answer:

square:48

triangle:16

circle:6.28

Step-by-step explanation:

square: b x h = base * height

triangle: 1/2 x bh = 1/2 x base x height

circle: 3.14 x r square = 3.14 x 4 x 1/2

4 because is radius square = 2 x 2 = 4

A linear equation in slope intercept form is: \(y = mx+ c\).

The slope intercept form of \(3x + 3y = 24\) is \(y = -x + 8\)

Given

\(3x + 3y = 24\)

Subtract 3x from both sides

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

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

Divide both sides by 3

\(\frac{3y}3 = \frac{-3x}3 + \frac{24}3\)

\(y = -x + 8\)

By comparing \(y = -x + 8\) and \(y =mx + c\);

We can conclude that: \(y = -x + 8\) is the slope intercept form of \(3x + 3y = 24\)

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The description of the motion of the ant which is a geometric series is as follows;

a) After covering 63/32 meters, the ant will have made 6 turns

b) The distance the ant will eventually travel is 2 meters

Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.

The distances traveled by the ant is a geometric progression of the form;

The sum of the distance is given by the sum of the geometric progression as follow;

\(S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}\)

Where;

aₙ = The distance traveled in the nth turn

Sₙ = The sum of the distances

a = The first term = 1 meter

r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5

a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;

\(S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}\)

31.5 = 32 × (1 - 0.5ⁿ)

32 × 0.5ⁿ = 32 - 31.5 = 0.5

0.5ⁿ = 0.5 ÷ 32

n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6

b) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;

\(S_{\infty} = \dfrac{a}{1-r}\)

Which gives;

\(S_{\infty} = \dfrac{1}{1-0.5} = 2\)

The distance the ant eventually travels is 2 meters

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a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

Perimeter= 40

Area= 120.71

Step-by-step explanation:

The eigenvalues for the given system dx/dt = 4x - 2y, dy/dt = x + y are λ1 = 3 and λ2 = 2.

The associated eigenvectors are v1 = (1, 1) and v2 = (-1, 2). Using HPGSystemSolver, you can sketch the direction field, plot straight line solutions, and create the phase portrait.

To find the eigenvalues:
1. Write the system as a matrix: A = [[4, -2], [1, 1]]
2. Calculate the characteristic equation: det(A - λI) = 0, which gives (4 - λ)(1 - λ) - (-2)(1) = 0
3. Solve for λ, yielding λ1 = 3 and λ2 = 2

For eigenvectors:
1. For λ1 = 3, solve (A - 3I)v1 = 0, resulting in v1 = (1, 1)
2. For λ2 = 2, solve (A - 2I)v2 = 0, resulting in v2 = (-1, 2)

Using HPGSystemSolver or similar software, input the given system to sketch the direction field, plot straight line solutions (if any), and generate the phase portrait. This visual representation helps in understanding the system's behavior.

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Answer:

c

Step-by-step explanation:

It is given that the line AB is Perpendicular Bisector of IK. It means the line AB is perpendicular on IK and the point J divides the line IK in two equal parts.

If a line is bisector of another line, then the point of intersection divides the second line is two equal parts.

Therefore the distance between intersection point and the endpoints of the second line are the same.

The intersection point is J and the end points of IK are I and K. So, we can say that IJ = JK.

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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The prompt provides the position of a child on a circular staircase as she descends from the top of a tower. The child's position in feet and time in minutes are given by a mathematical expression.

The task is to determine the height of the tower.The problem describes the position of a child on a circular staircase, as she descends from the top of a tower. The child's position in feet and time in minutes can be described using a mathematical expression. To determine the height of the tower, we need to use this expression and solve for the unknown variable.

One possible mathematical expression for the child's position is given by:

x(t) = h - r cos(t/2)

where h is the height of the tower, r is the radius of the circular staircase, t is the time in minutes, and x(t) is the child's position in feet from the origin at the base of the tower.

To solve for the height of the tower, we need to find the value of h that satisfies the given expression for all values of t. This can be done by using the initial condition given in the problem: at t=0, the child is at the top of the tower, so x(0) = h.

Thus, we have:

x(0) = h - r cos(0/2) = h - r = 0

Solving for h, we get:

h = r

Therefore, the height of the tower is equal to the radius of the circular staircase.

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Answer:

5

Step-by-step explanation:

Plug in the numeric values

4 for m, -9 for n, -2 for p, and 12 for q.
add them together.
4 + -9 = -5

-5 + -2 = -7

-7 + 12 = 5

Your answer is 5

hope this helps

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=[3-(-2)]^2+(9-4)^2

d^2=(5)^2+(5)^2

d^2=25+25

d^2=50

d= \(\sqrt{50}\)

d=7.07 units

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

Answer: 18x24 or 792

Step-by-step explanation:

Answer:

rise= -2 run= -4 slope= -1/2

Step-by-step explanation:

slope= rise/run

since rise=-2 and run=-4, slope=-2/4, but we have to simplify, so slope=-1/2

Answer:

22 students

Step-by-step explanation:

Answer:

the correct option is A

Step-by-step explanation:

things you have to remember is no more than 30 haircuts. so b is already eliminated.

do 15 because that's the amount of $$ it is for one adult haircut. 15 x 25 is 375. and need At least $360.

The point that could represent the numbers of adults and child haircuts that meet the stylist goals is 25, 0.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then using 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

Therefore, she has earned at least 360 dollars and cut about 25 haircuts this week.

In conclusion, the correct option is A.

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Answer:

D IS THE ANSWER EQUATION

Answer:

Step-by-step explanation:

The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Answer: w= 13

Step-by-step explanation: 8+5 is 13

Answer:

A. $80

Step-by-step explanation:

First, let's find the cost of 15 soccer balls.

Next, cost of 20 soccer balls.

Lastly, the difference between 20 and 15 soccer balls:

3.14 x 11 = 34.54

Pi = 3.14 so times by 11 = 34.54

Answer:

452.16 ft²

Step-by-step explanation:

Use the circle area formula, A = \(\pi\)r²

Plug in 3.14 as pi and 12 as the radius, then solve:

A = (3.14)(12)²

A = (3.14)(144)

A = 452.16

So, the area of the circle is 452.16 ft²