Which lines are the directrices of the ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

Answer:

Square

Rectangle

Step-by-step explanation:

not a pro at shapes.

Answer:

what is your question?

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer: y=-4x+7

Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x

The total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24.

To calculate the probability that the password for the school's grading system is composed of a one, a two, a three, and a four, we need to use the formula for permutations. A permutation is the number of ways that objects can be arranged in a specific order. In this case, we want to know the number of permutations of the four digits that make up the password.

There are nine possible digits to choose from, but we need to choose four specific digits: one, two, three, and four. The first digit can be any of the four digits we need, so there are four choices. The second digit can be any of the remaining three digits, so there are three choices. The third digit can be any of the remaining two digits, and the fourth digit must be the remaining digit.

Therefore, the total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24. However, this is only the numerator of the probability fraction. The denominator is the total number of possible 4-digit passwords, which is 9 x 8 x 7 x 6 = 4,536.

So the probability that the password for the school's grading system is composed of a one, a two, a three, and a four is 24/4,536, which simplifies to 1/189. This means that there is a very small chance of the password being composed of these specific digits.

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Answer:

Upper limit=16

Lower limit=4

Step-by-step explanation:

✓The Mean is given as 10 units with a

samples of size 9

✓standard deviation of the process is given as 6.

control limits for a process can be expressed as

Upper limit = x + 3 σ(√n)

lower limit = x - 3σ(√n)

If we substitute the values we have

Upper limit =

10+ (3 × (6)/ √9

10+ (3× 6/3)

= 16

lower limits=

=10 - (3 × (6)/√9

10 - (3× 6/3)

= 4

Answer:

Area=15in²

Perimeter=16in

Step-by-step explanation:

area=L×W

Perimeter=L+L+W+W

Answer:

Your answer is

Area  =  ( 5 * 3) = 15 inch ^2

Perimeter = 2(5+3) = 16 inch

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Step-by-step explanation:

Answer:

\( {4}^{2} + {3}^{2} = 16 + 9 = \sqrt{25} = 5\)

Answer:

0.2hrs/dollars

Step-by-step explanation:

Given parameters:

Cost of bike = $31

Time duration  = 6hrs

Unknown:

Hours customers get per dollar = ?

Solution:

The number of hours customer gets per dollar is;

      Number of hrs/dollar = \(\frac{time duration }{cost}\)

    Number of hrs/dollar  = \(\frac{6hrs}{31}\)  

    Number of hrs/dollar = 0.2hrs/dollars

Answer:

x = 16

Step-by-step explanation:

Let's assume that the number of players the team can bring to the tournament is represented by the variable "x."

Given that the total amount raised by the team is $1672.50, the cost of renting the bus is $1068.50, and the budgeted amount per player for meals is $37.75, we can write the equation to determine the number of players as follows:

Total amount raised - Cost of bus - (Budget per player * Number of players) = 0

1672.50 - 1068.50 - (37.75 * x) = 0

Now, let's solve the equation for x:

1672.50 - 1068.50 - 37.75x = 0

603 - 37.75x = 0

To isolate the variable x, let's subtract 603 from both sides of the equation:

-37.75x = -603

Now, divide both sides of the equation by -37.75:

x = -603 / -37.75

x = 16

Therefore, the team can bring approximately 16 players to the tournament.

Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

Answer:

1. 1 1/4

2. 2 1/2

3. 2 2/5

4. 1 1/5

5. 4 1/3

Answer:

the very bottom graph

Step-by-step explanation:

all of the points listed on the table match the graph

x values is found on the x axis (left to right)

y values are found on the y axis (up and down)

Answer:

see below

Step-by-step explanation:

From graph, points (2, 0) and (0, -2).

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-2 - 0) / (0 - 2)

              = -2 / -2

              = 1

y-intercept using anyone of the above points and m:

y = mx + b

0 = 1(2) + b

0 = 2 + b

b = -2

Equation of line using m and b:

y = 1x - 2

Use y = 1x - 2 to check the points given in tables:

All points in below table seems to work.

(0, -2)    

-2 = 0 - 2

-2 = -2

(1, -1)

-1 = 1 - 2

-1 = -1

(2, 0)

0 = 2 - 2

0 = 0

(4,2)

2 = 4 - 2

2 = 2

Given the subtotal of $55.97, apply taxes as shown below (remember that 6.75%=6.75/100=0.0675)

Now, apply the discount (20%=20/100=0.20)

The answer is approximately $47.8 (taxes first, then discount)

Answer:

Step-by-step explanation:

1. after 7 hours, you watch 1 movie

2. after 0 hours, youve watched 0 movies

3. after 14 hours, you have watched 2 movies

Mathematically we write this as:

=362+(302×q)

The expression is 362+302q

Goodluck.

Answer: Less

Step-by-step explanation:

If you break down each fraction into a decimal form you will get,

4/12 = 0.33

4/6 = 0.66

Making 4/12 less than 4/6.

Answer:

4/12 is less than 4/6

Step-by-step explanation:

\( \frac{4}{12} \: < \frac{4}{6} \: \: \: \: \: \: \: \: \: \: \: \: \)

Answer:

Step-by-step explanation:

Option (B) is the correct answer.

A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is given by option (B).That is;Option (B) represents the equation that represents the equivalent annual worth A in years I through 4.

The formula for equivalent annual worth is given by;A = PW (A/P, i, n) + F(A/F, i, n)where,PW = Present WorthF = Future WorthA/P = Present Worth FactorA/F = Future Worth Factori = interest raten = number of yearsSo,A = 8000(P/A, 10/2,2) + 10000(F/A, 10/2,4)A = 8000(3.1051) + 10000(0.6848)A = 24,840.80 + 6848A = $31,688.80The equation that represents the equivalent annual worth A in years I through 4 is represented by the option (B);A = 8000(P/A, 10.25/2,2) + 10000(F/A, 10.25/2,4).

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Answer:

The graph is a function

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we apply the Vertical Line Test to the parabola in the graph, we see that it passes it. Therefore, the graph shown is a function.

The probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

An engine size greater than 3.9 L

Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.

Probability looks at calculating the possibility of a given event's occurrence.

To determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

Hence, the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

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Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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Answer: 85

Step-by-step explanation:

\(100-3(3y-4x)\\\\=100-3(3 \cdot 7-4 \cdot 4)\\\\=100-3(21-16)\\\\=100-3(5)\\\\=100-15\\\\=85\)

Answer:

148

Step-by-step explanation:

use bidmas to get final solution

100-3(12-28)

100-3 × (-16)

=148