Krysta wants to get a sandwich from the deli for lunch. She can pick a tuna, roast beef, ham, chicken salad, or vegetarian sandwich. The bread choices are rye, wheat, or multi-grain. She can have provolone, cheddar, or American cheese, and she can pick one sauce. The sauce choices are pepper spread, dijon, pesto, mustard, and mayonnaise. How many different combinations can Krysta pick from?

Answer:

In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.

The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.

So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5

So sec(A) = √29/5 which is the simplified form.

Answer:

325

Step-by-step explanation:

65% of 500 is 325

Answer:

(0,0) and (2,12)

Step-by-step explanation:2x=8x-x^2

8x -2x -x^2 = 0

6x-x^2 =0 factor out common x

x(6-x)=0

x=0 or 6

y = 0 or 12

Answer:

3 mph

Step-by-step explanation:

UPSTREAM:

distance = 36 miles ;

Speed = 15-c mph ;

TIME, t = distance / speed = 36/(15-c)

Downstream :

distance = 36 miles ;

speed = 15+c mph ;

time, t = 36/(15+c)

upstream time + downstream time = 5 hrs

36/(15-c) + 36/(15+c) = 5

36(15+c) + 36(15-c) = 5(15-c)(15+c)

1080 = 5(225 - c²)

1080 / 5 = 225 - c²

216 = 225 - c^2

216 - 225 = c²

-9 = c²

c = 3

Answer:

247 = 144 + (195 ⋅ v)

There is a 0.0876 percent probability that six or more pages will include mistakes. There is a 1.64 x 10⁻⁶ chance that more than 10 pages may include mistakes.

Information about possibility of occurrence is provided by probability. For instance, weather patterns are used by meteorologists to predict the possibility of rain. In order to understand the relationship between exposures and the risk of health outcomes, epidemiology uses probability theory.

a) Chance that six or more pages may have mistakes:

To get this probability, we can utilise the binomial probability formula:

P(X>=6) = 1-P(X<6)

where X is the number of pages with errors.

P(X<6) = P(X=0)+P(X=1)+P(X=2) +P(X=3)+P(X=4)+P(X=5)

For each term, using the binomial probability formula, we obtain:

P(X < 6) = 0.9124

Therefore, P(X >= 6) = 1 - P(X < 6) = 1 - 0.9124 = 0.0876

Hence, there is a 0.0876 percent chance that six or more pages will include errors.

b) Chance that there are errors on more than 10 pages:

Using the same method, we can discover:

P(X > 10) = P(X = 11) + P(X = 12) + ... + P(X = 200)

To find the likelihood, we can use a calculator or software because performing the math by hand can be very time-consuming. Using a calculator for the binomial distribution, we obtain:

P(X > 10) = 1.64 x 10⁻⁶ (rounded to 3 decimal places)

Hence, there is a roughly 10% chance that there will be errors on more than 10 pages. 1.64 x 10⁻⁶.

c) Probability that none of the pages contain errors:

P(X = 0) can be calculated using the binomial probability formula:

P(X = 0) = (200 choose 0) * (0.009)⁰ * (1 - 0.009)²⁰⁰

= 0.8196

As a result, 0.8196 percent of the pages are likely to be error-free.

d) Probability that fewer than five pages contain errors:

P(X<5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

Again, using the binomial probability formula for each term, we get:

P(X < 5) = 0.8151

Hence, the likelihood that fewer than five pages are mistake-free is 0.8151.

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Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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Answer:

2 is the answer

Step-by-step explanation:

the square root of 4 is 2... right?

The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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The compound average annual return over 4 years, with annual returns of 9.2%, 13.0%, and 6.6%, is approximately 8.73%.



To calculate the compound average annual return, you need to find the geometric mean of the annual returns over the given period. Here's how you can do that:

1. Convert the annual returns into decimal form by dividing them by 100:

  - 9.2% becomes 0.092

  - 13.0% becomes 0.13

  - 6.6% becomes 0.066

2. Add 1 to each decimal form of the annual returns to obtain the growth rates:

  - 0.092 + 1 = 1.092

  - 0.13 + 1 = 1.13

  - 0.066 + 1 = 1.066

3. Multiply the growth rates together:

  1.092 * 1.13 * 1.066 = 1.350036456

4. Take the fourth root of the product to find the compound average annual return over 4 years:

  ∛1.350036456 ≈ 1.0873

5. Subtract 1 from the result and multiply by 100 to express the compound average annual return as a percentage:

  (1.0873 - 1) * 100 ≈ 8.73%

Therefore, the compound average annual return over the 4-year period is approximately 8.73%.

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = 4x + 3

The graph of the line crosses the y-axis when x = 0.

This is called the y-intercept.

There are two ways to get the y-intercept point.

From the definition of the equation of a line in slope intercept form we have,

y = mx + c

Where c is the y-intercept.

y = 4x + 3

So,

c = 3

We can also find the y-intercept when x = 0.

y = 4x + 3

y = 4 x 0 + 3

y = 3

Thus,

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

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Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

Step-by-step explanation:

Answer:

x=4 and y=1

Answer:

B. 1/36

Step-by-step explanation:

A dice has 6 sides, we are looking to roll a 5, which is just one number, hence 1/6. If you roll two, to find the probability of two independent events (meaning they do not affect each other), you multiply the two together.

1/6 x 1/6 = 1/36

Answer:

10.4880885 or 10.5

Step-by-step explanation:

The square root of 110 is a decimal ... 10.4880885

If we round up it will be 10.5

Answer:

10.488 to nearest thousandths

Step-by-step explanation:

If you mean using a calculator, sqrt(110) is approximately 10.488.

If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)

The linear relationship represented by the table is proportional.

Proportional relationships are relationships between two variables where their ratios are equivalent.

In other words, proportional relationship is one in which two quantities vary directly with each other. Proportional relationship can be represented as follows:

y ∝ x

y = kx

where

Therefore, let's check if the relationship between the ounces and cost is proportional.

0.7 = 2k

k = 0.7 / 2

k  = 0.35

y = 0.35 × 4 = 1.4

y = 0.35 × 6 = 2.1

y = 0.35 × 8 = 2.80

Therefore, the relationship is proportional

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Answer:

Step-by-step explanation:

a

Opposite means add a negative sign in front of it.

The opposite of 6 is -6,

7 --> -7,

-10 --> 10.

Reciprocal means flip it.

Reciprocal of 6 is 1/6

of 7 is 1/7

of -10 is -1/10

Opposite reciprocal means add a negative sign AND flip it.

6 --> -1/6

7 ---> -1/7

-10 --> 1/10

In geometry, perpendicular lines on a graph have opposite reciprocal slopes.

Answer:

12:30 pm

Step-by-step explanation:

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

  time?    pound is 2,800 gallons full

from 8:30 to 10:30 are 2 hours so the rate of filling up is

             1,400 gallons in 2 hours

to have a whole pond filled we need another 2 hours because

in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

12:30 pm pound is 2,800 gallons full.

Answer:

x = 5 and y = 8.7

See attached image for working

Step-by-step explanation:

Since it's a right angle triangle you can use sin and cos.

Variables declared within a method and those declared directly within a class differ in their scope and accessibility.

Variables declared within a method are called local variables. They are only accessible within the specific method in which they are declared. Local variables have a limited scope and their values are typically temporary and exist only as long as the method is executing. Once the method completes its execution, the local variables are destroyed and cannot be accessed from other methods or parts of the class.

On the other hand, variables declared directly within a class, but outside of any methods, are called instance variables or class variables. These variables are accessible throughout the entire class and can be accessed and modified by any method within the class. They have a broader scope and their values persist as long as the instance of the class exists. Instance variables hold data that is shared among multiple methods within the class, and their values can be accessed and modified across different methods.

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Answer:y=-7n+33

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y). If a point B(x, y) is reflected over the y axis, the new point is at A'(-x, y).

Triangle A has vertex at (-4, -2), (-4, -5) and (-2, -5). If triangle A is reflected in the x axis to give triangle B, the vertex of triangle B is (-4, 2), (-4, 5) and (-2, 5).

If triangle B is reflected in the y axis to give triangle C, the vertex of triangle C is at (4, 2), (4, 5) and (2, 5). Hence the transformation is:

(x, y) ⇒ (-x, -y)

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Answer: The answer for this proble is A. Hope this helps! Brainliest?

Answer:

I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.

A unit rate means a rate for one of something.

The number of boxes packed in 18 hours is 216 boxes.

A unit rate means a rate for one of something.

We write this as a ratio with a denominator of one. 

We have,

From the graph, we see that,

In 5 hours, there are 60 boxes packed.

This can be written as:

5 hours = 60 boxes

Similarly,

1 hour = 12 boxes

3 hours = 36 boxes

The number of boxes packed in 18 hours:

1 hour = 12 boxes

Multiply both sides by 18.

18 hours = 18 x 12 boxes

18 hours = 216 boxes

Thus,

The number of boxes packed in 18 hours is 216 boxes.

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