Select the correct answer. wanda is a cake designer with a specialty in rectangular silk screen photo cakes. for every cake that she makes, the width of the cake is 4 inches more than the width of the photo in the center of the cake, and the length of every cake is two times its width. the area of the cake wanda is currently working on is at least 254 square inches. if x represents the width of the photo, which inequality represents this situation? a. b. c. d.

Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

The required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

To determine the equation of the given piece-wise function,
The equation of the function under x < 2 is given as,
y = x + 1 for x < 2

This equation can be obtained by locating two points on the line such as (-1, 0) and (0, 1), and forming an equation with these points,

Similarly,
For x > 2, we have
y = 2x - 1

Thus, the required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

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Answer:

y = x - 1

Step-by-step explanation:

Put it in point-slope form:

y - 0 = 1(x - 1)

y = x - 1

Answer:

$0.80

Step-by-step explanation:

To find the sales tax you:

Divide 4% by 100 ( because a percentage is always out of 100) {\(\frac{4}{100}\)= 0.04}

Multiply 0.04 by 20 ( the answer becomes $0.80)

When doing this you primarily finding 4% of $20.

HOPE THIS HELPED

On solving the provided question, we can say that the function that can be made is  f(x) = $81.90/x

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

As the manager of a coffee house, Paul created this table to help his

cashiers determine the total cost of multiple cups of coffee.

the function that can be made is

f(x) = $81.90/x

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Answer:

option D is correct answer. ( 2, 2)

The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

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The lateral surface area of the cylindrical oil storage tank is 2668.36 ft² and the total surface area is 6595.36 ft².

To find the lateral surface area of a cylindrical oil storage tank, we need to find the circumference of the circular base

and multiply it by the height of the tank. The circumference is given by:

C = πd

C = π(50 ft)

C = 157.08 ft (rounded to two decimal places)

Therefore, the lateral surface area is:

Lateral surface area = C x h

Lateral surface area = 157.08 ft x 17 ft

Lateral surface area = 2668.36 ft² (rounded to two decimal places)

To find the total surface area, we need to add the area of the two circular bases to the lateral surface area. The area of

a circle is given by:

A = πr²

The radius of the circular base is half the diameter, so:

r = d/2

r = 50 ft/2

r = 25 ft

Therefore, the area of each circular base is:

A = πr²

A = π(25 ft)²

A = 1963.5 ft² (rounded to one decimal place)

So, the total surface area is:

Total surface area = 2A + Lateral surface area

Total surface area = 2(1963.5 ft²) + 2668.36 ft²

Total surface area = 6595.36 ft² (rounded to two decimal places)

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Answer:

the ribbon costs $0.80 per meter.

Step-by-step explanation:

To calculate the cost per meter of ribbon, we can divide the total cost of the ribbon by the length of the ribbon:

Cost per meter = Total cost of ribbon / Length of ribbon

In this case, the total cost of the ribbon is $4, and the length of the ribbon is 5 meters:

Cost per meter = $4 / 5 meters = $0.80/meter

To determine the cost of each meter of the ribbon, we divide the cost for 5 meters of ribbon by 5. That is,

                                       \(x = \$4 / 5\)

where x is the cost of each meter. Simplifying will give us an answer of $0.8/m. Converting this to per mm.

                                  \(($0.8/m) \times (1 m/ 1000 mm)\)

                              \(= \$0.0008/mm\)

The surface area of this triangular prism is 258 square units

Given parameter is

The triangular prism

The surface area of triangular prism is calculated as

Surface area = Perimeter * Length + 2 * Base area

Using the given dimensions, we have

Surface area = (5 + 6.5 + 6.5) * 11 + 2 * 5 * 6

Evaluate

Surface area = 258

Hence, the surface area is 258 square units

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Step-by-step explanation: Okay lets solve this. We need to do the rectangle which is 150 in. Then on to the semi circle. Since the diameter is 10 in. We need to divide by 2. Now we have 5. This is the radius. now we do 3.14 x 5^2 divided by 2. In the calculator you will get... 39.25. Correct me if Im wrong.

Answer: 30

Step-by-step explanation: you start with the base and go up, you have to options for cones each option has five options to go on top so two times five is ten, the next item is toppings which you have three options, three times ten is 30

Answer:

I believe the answer is 30

Step-by-step explanation:

You have

2 different types of cones V and U

5 flavors A B C D E

3 toppings 1 2 3

so you would have

VA1

VA2

VA3

VB1

VB2

VB3

VC1

VC2

VC3

VD1

VD2

VD3

VE1

VE2

VE3

and

UA1

UA2

UA3

UB1

UB2

UB3

UC1

UC2

UC3

UD1

UD2

UD3

UE1

UE2

UE3

if I'm wrong I'm sorry

add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...

Apply the distributive property as needed:

Isolate the variable on one side of the equation.

Step-by-step explanation:

Let's complete the identity:

250 ml is equivalent to 8.4535 ounces, making it a simple conversion to remember. Keep in mind that when converting between ounces and milliliters, it is important to use accurate conversion factors to ensure that your measurements are accurate.

Ounces and milliliters (ml) are both units of measurement for volume. Ounces are commonly used in the United States and some other countries, while milliliters are widely used in the metric system.

One important thing to remember is that 1 ounce equals 29.5735 milliliters.

To convert 250 ml to ounces, we divide 250 by 29.5735. Therefore, 250 ml is approximately equal to 8.4535 ounces. Understanding the conversion between ounces and milliliters is important, especially in the field of cooking, baking, and medicine.

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Answer:

no solution

Step-by-step explanation:

Answer:

If the slope is different - always one solution

if the slope is the same but the y intercept is different - no solution

if the slope and y intercept are the same - infinite number of solutions

Answer:

=-18x+20

Step-by-step explanation

:

Answer:

-18x+20

Step-by-step explanation:

5+(-3)(6x-5)

Distribute the -3 with the 6x-5.

-3×6x=-18x,  -3×-5=15

5+-18x+15

The -18x is done, because there are no other like terms for it to add or subract with.

5 and 15 can add for 20

-18x+20

Key terms:

Distribute: To multiply a number by 2 or more numbers, often using parenthasis   6(5+7)= 30+35

Like terms: Coefficients with the same variable, or numbers without a variable can be added or subtracted. Unlike terms cannot be added or subtracted. Does not apply to multiplication or division.

7y+4x+3y+6=10y+4x+6

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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The mean score of the random sample of students on the math exam is approximately ,The mean score, rounded to the nearest hundredth, is 82.83. The median score is 84.

To find the mean score, we add up all the scores and divide the sum by the total number of scores. Adding up the given scores, we get a sum of 1862. Dividing this sum by the total number of scores, which is 23, we find that the mean score is approximately 81.04348. Rounding this to the nearest hundredth, the mean score is 82.83.

To find the median score, we arrange the scores in ascending order and find the middle value. In this case, there are 23 scores, so the middle value is the 12th score when the scores are arranged in ascending order. After sorting the scores, we find that the 12th score is 84. Therefore, the median score is 84.

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Answer:

Hope that answers your question, good luck in the future

Answer:

492.75

Step-by-step explanation:

The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

According to the statement

we have to find the point which they intersect the given plane.

So, For this purpose, we know that the

The given equations is :

x = 5 − t, -(1)

y = 2 + t,  -(2)

z = 3t -(3)

And the given plane is :

x − y + 4z = 13  -(4)

And, the intersection of plane point is :

Put the equations 1 and 2 and 3 in the 4th equations then

(5 − t) - (2 + t) + 4(3t) = 13

3 - 2t + 12t = 13

3 + 10t = 13

10t = 10

Then

t = 1

Put these values in 1 and 2 and 3rd equation then the value of x y z become

x = 5 − t, -(1)

x = 5 -1

x = 4

And

y = 2 + t,  -(2)

y = 2 + 1

y = 3

And

z = 3t -(3)

z = 3(1)

z = 3.

The value of (x,y,z) = (4,3,3).

So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

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The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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Answer:

22/2=11 <-.-.-.-.-.-

Step-by-step explanation:

A is correct option there are no real roots

because discriminant is less than zero

Answer:

It would be 7:30 pm

Step-by-step explanation:

0.1151 or 11.51% is the probability that a random college woman has a height of 68 inches or more. The minimum height is 70.125 inches.

The probability of a random college woman having a height of 68 inches or more:

The normal model n(65, 2.5) describes the distribution of heights of college women (inches). It means the mean height is 65 inches, and the standard deviation is 2.5 inches.

For getting the probability that a random college woman has a height of 68 inches or more, we need to calculate the z-score for this value. We use the formula

z = (x - μ)/σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

z = (68 - 65)/2.5 ⇒ 1.2

Using the z-table, we can find the probability corresponding to a z-score of 1.2. The table gives a probability of 0.8849 that a standard normal variable is less than 1.2. Since we are interested in the probability that a random college woman has a height of 68 inches or more, we need to find the complement of this probability.

Therefore, the probability that a random college woman has a height of 68 inches or more is:

P(X ≥ 68) = 1 - P(X < 68) ⇒ 1 - 0.8849 ⇒ 0.1151.

The height at the 15th percentile:

To be in the tall club, a woman must have a height such that only 2% of women are taller. Therefore, the height of a woman in the tall club corresponds to the 98th percentile of the distribution.

We need to find the value of X such that P(X ≤ x) = 0.98.

Substituting the given values, we get,

z = inv{Norm(0.98)} = 2.05

z = (x - μ)/σ

2.05 = (x - 65)/2.5

x = 2.05 × 2.5 + 65 ⇒ 70.125 inches.

Therefore, the minimum height for a college woman to be in the tall club is 70.125 inches.

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Answer:

1

Step-by-step explanation:

Answer:

30 x ^2 y ^2

Step-by-step explanation: