A winter jacket cost $200. It is on sale for 30% off when you have a coupon to save another 20%. How much do you have to pay for the jacket before taxes

Answer:

b ≈ 25.7, C ≈ 24.2, A ≈ 119.8

Step-by-step explanation:

b² = a² + c² - 2ac·cos(B)

b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

b ≈ 25.715

sin(C)/c = sin(B)/b

C = arcsin(c/b·sin(B)) ≈ 24.29515°

∠A can be found as 180° - ∠B - ∠C

A = arcsin(a/b·sin(B)) ≈ 119.70485°

Answer:

9 hours

Step-by-step explanation:

We can use a ratio to solve

247 dollars       171 dollars

---------------- = -------------

13 hours             x hours

Using cross products

247* x = 13*171

247x =2223

Divide each side by 247

247x/247 =2223/247

x=9

Answer:

He can only make 8 cheese pizzas

Step-by-step explanation:

4➗1/2=8

1/2+1/2+1/2+1.2+1.2+1.2+1.2+1.2=8

202.5= 15x/2

x=base= 27

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The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

Once you know the constant of proportionality you can find an equation representing the direct propor. relationship between x and y, namely y = kx, with your specific k

Answer:

x = 2

Explanation:

16=2(2x+4)

16=4x+8

8=4x

2=x

The values of x, y and z in the parallelogram 1 are x = 80, y = 100 and z = 80

Parallelogram 1

Adjacent angles of a parallelogram add up to 180

So, we have

x = 180 - 100

x = 80

Opposite angles are equal

So, we have

y = 100

z = 80

Using the above theorem, we have the values of x, y and z in the other parallelograms to be

Parallelogram 2

x = 180 - 50

x = 130

y = 130

z = 130 --- by corresponding angle theorem

Parallelogram 3

x = 90 --- by vertical angle theorem

Then, we have

y = 60 --- sum of angles in a triangle

z = 60 --- by corresponding angle theorem

Parallelogram 4

x = 100

y = 80

z = 80 --- by corresponding angle theorem

Parallelogram 5

y = 112

x = 180 - 112 - 40 --- sum of angles in a triangle

x = 28

z = 28  --- by corresponding angle theorem

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Answer:

6(c+5)

Step-by-step explanation:

You do distributive property, so then it would be 6c +30.

Hope it helps

Answer:

One meter = 10 decimeters   =    100 centimeters     =    0.001 kilometers    =    3.2808399 feet    =    1.0936133 yard    =    0.000621371192 mile    =   39.3700787 inches

Step-by-step explanation:

Answer:

32.40cm²

Step-by-step explanation:

Given the parallelogram ABCD ;

side AB is always Parallel to CD, hence ;

AB = CD = 7.2cm

Perpendicular from C on AB is the height of the parallelogram = 4.5cm

Area of a parallelogram : base * height

Area of a parallelogram = length base * height

Area of a parallelogram = 7.2 cm * 4.5cm

Area of parallelogram = 32.40cm²

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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log(27) + log(49) = log(1323) we get the answer by evaluating

a) log(27) + log(49)

= log(27*49)

= log(1323)

b) Squaring both sides of √e = \(e^_(1/2)\),

we get:

\(e = (e^_(1/2))^2\)

=\(e^_(1/2 * 2)\)

= \(e^_(1)\)

= e

c) 22 is not a question or an expression to evaluate. Please provide additional information.

a) To evaluate log(27) + log(49), we can use the properties of logarithms.

First, we can simplify the expression by applying the product rule of logarithms:

log(27) + log(49) = log(27 * 49)

Next, we can simplify the product of 27 and 49:

27 * 49 = 1323

Therefore, log(27) + log(49) = log(1323).

b) To evaluate ln(√e), we can use the property of logarithms that \(ln(a^b)\) = b * ln(a).

First, we can simplify the square root of e:

\(\sqrt_e\)\(= e^_(1/2)\)

Next, we can apply the natural logarithm to both sides:

=\(ln(e^_(1/2))\)

Using the property mentioned earlier, we have:

= (1/2) * ln(e)

Since ln(e) = 1, the expression simplifies to:

.\(ln(\sqrt_e)\) = 1/2

c) To evaluate \(2^2\), we simply calculate the exponentiation:

\(2^2\) = 4.

Therefore, \(2^2\) = 4

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An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer:

0.0425

Step-by-step explanation:

probability of  basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425

Answer:

6/20 chance or a 3/10(same thing )

Step-by-step explanation:

there are 20 numbers and only six of the are over 7 making a 6/20 chance or 3/10

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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hmmmmmmmmmm the. answer. is 9/7

The product 3 x 3/7 as a fraction can be written as 9/7.

Given are two numbers 3 and 3/7.

We have to find the product of these numbers.

These numbers has to written as the product as a fraction.

When a fraction is multiplied by a whole number, the whole number is multiplied with the numerator of the fraction by keeping the denominator same.

Here whole number is 3 and the fraction is 3/7

3 x 3/7 = (3 x 3) / 7

           = 9/7

Hence the product is 9/7.

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The inequality could be used to determine the number of subscriptions that Jennifer needs to sell is 2x+x≥90.

In mathematics, an inequality is a relationship that results from a non-equal comparison of two integers or other mathematical expressions. It is most typically used on a number line to compare the sizes of two numbers. There are several notations for various sorts of inequalities:

The symbol a < b indicates that an is less than b.

The symbol a > b indicates that an is greater than b.

These are known as strict inequalities, because an is strictly less than or strictly bigger than b. Equivalence is not allowed.

Given,

Carol intends to sell twice the number of magazine subscriptions as Jennifer..

And also given that,

Carol and Jennifer needs to sell at least 90 subscriptions in all

Let Carol sell 2x magazines then Jennifer sell x

So, they need to sell at least 90

x+2x ≥ 90

∴2x+x ≥ 90

Hence, the answer is  option 4

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Step-by-step explanation:

2x + 3 = x + 1

x + 3 = 1

x = -2

Answer:

x= -2

Step-by-step explanation:

2x+3=x+1

   -3     -3

------------------

2x = x - 2

-x    -x

----------------

x= - 2

Answer:

Kevin

Step-by-step explanation:

The square is black

Answer:b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

The Greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part A:

To determine the domain and range of the function C(t) = -2t^2 + 8t, we need to consider the context of the problem.

Domain:

The domain of a function represents the set of all possible input values. In this case, the function represents the concentration of the medication after being injected into a patient. Since time, t, is the independent variable representing hours after injection, it should be a non-negative value.

To find the domain, we need to determine the range of valid values for t. Since time cannot be negative in this context, the domain of the function is t ≥ 0.

Range:

The range of a function represents the set of all possible output values. In this case, the function represents the concentration of the medication, C(t), in mg/L.

To find the range, we can analyze the behavior of the function. The function is a quadratic equation, which opens downward since the coefficient of the t^2 term is negative (-2). This means that the maximum concentration will occur at the vertex of the parabolic curve.

The vertex of a quadratic function can be found using the formula: t = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -2 and b = 8. Substituting these values into the formula, we get:

t = -8 / (2(-2))

t = -8 / (-4)

t = 2

Therefore, the vertex occurs at t = 2.

Substituting t = 2 back into the original function, we can find the maximum concentration:

C(2) = -2(2)^2 + 8(2)

C(2) = -2(4) + 16

C(2) = -8 + 16

C(2) = 8

The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part B:

To graph the function C(t) = -2t^2 + 8t and determine the greatest concentration, we can plot points and sketch the parabolic curve.

We can choose different values of t and calculate the corresponding values of C(t):

When t = 0, C(0) = -2(0)^2 + 8(0) = 0

When t = 1, C(1) = -2(1)^2 + 8(1) = 6

When t = 2, C(2) = -2(2)^2 + 8(2) = 8

When t = 3, C(3) = -2(3)^2 + 8(3) = 6

Plotting these points on a graph, we can connect them to form a parabolic curve.

The graph will be a downward-opening parabola, and the vertex will be at t = 2, C = 8.

The greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.

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B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.

Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.

Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.

Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.

Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.

Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.

It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.

Regarding the other options you mentioned:

A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.

C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.

D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.

In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

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Answer: Subtract 3 from each side of the equation(A)

Step-by-step explanation:

3n2−15n=3

1:Subtract 3n2 from both sides.

-15n=3-3n2

2:Divide both sides by -15.

-15n/-15=3-3n2/-15

3:Dividing by −15 undoes the multiplication by −15.

n=3-3n2/-15

4:Divide 3−3n 2 ​ by −15

n=n2-1/5

​

​  

​  

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​  

An equation is formed of two equal expressions. The first step in solving the given equation is to Subtract 3 from each side of the equation.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation 3n²-15n=3 can be done as,

3n²-15n=3

3n²-15n-3=3-3

3n²-15n-3=0

(3n²-15n-3)/3=0/3

n²-5n-1=0

Therefore, the first step in solving the given equation is to Subtract 3 from each side of the equation.

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True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.

Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.

A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions

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The  need more information, such as the lengths of the sides of triangle ALAD or any other pertinent measurements, to calculate the area of triangle JOE, which is produced by joining the midpoints of each side of triangle ALAD.

Without this knowledge, we are unable to determine the area of triangle JOE.It is important to note that the area of triangle JOE would be one-fourth of the area of triangle ALAD if triangle JOE were to be constructed by joining the midpoints of its sides. The Midpoint Triangle Theorem refers to this. Triangle JOE's area would be 1/4 * 36 cm2, or 9 cm2, if the area of triangle ALAD is 36 cm2.

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Answer:

15% of 60 is equal to 9

Step-by-step explanation:

If this helps please mark as brainliest

Answer:

Two right angles = 180 degrees

Step-by-step explanation:

A right angle = 90 degrees

The sum of the interior angles of a triangle = 180 degrees

Two right angles (2 * 90) = 180

180 = 180

Therefore, the sum of the interior angles of  any triangle is equal to two right angles.