4 - 0.34
show your work

Answer:

1. 3.9

2. 0.7

3. 2.2

4. 9.8

5. 4.5

6. 8.1

7. 7.7

8. 4.4

9. 4.3

10. 1.2

Step-by-step explanation:

Hope it helps

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer:

#1 is 18

#2 is 12

and #3 is 57

Answer:

A. 18

B. 3

C. 0.7

Step-by-step explanation:

The point estimate of the mean content of all bottles

the answer is c. 4.

The point estimate of the mean content of all bottles of cologne is the sample mean, which is 4 ounces. This is based on a random sample of 121 bottles, which showed an average content of 4 ounces.

The point estimate of the mean content of all bottles of cologne is the sample mean, which is 4 ounces.

This can be represented mathematically as: \($\bar{x} = 4$\),

where \($\bar{x}$\) is the sample mean.

The standard deviation of the population, denoted by $\sigma$, is given as 0.22 ounces but is not required to calculate the point estimate.

Therefore, the answer is c. 4.

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Answer:

13

Step-by-step explanation:

the reason why I think it's 13 is because 10 15 15 - 10 = 5 so maybe if you do 13 - 8 = 5 maybe they have a relationship I really hope you get it right if you don't I understand.

Answer:

B. 12 Units

Step-by-step explanation:

Create a ratio :

10/8 = 15/x

10/8 = 1.25

15/1.25 = x

x = 12

In general F^-1(f(x))=f(f^-1(x)) wherein f^-1(x) is the inverse of f(x).

Function is a process or activity that fulfills a specific purpose or set of requirements. It is a building block of programming and can be used to create various types of applications. Functions allow coders to modularize their code and make it easier to debug and maintain. Functions can also be used to process data, perform calculations, and display outputs.

It is a mathematical law which states that if a function f(x) has an inverse function then the composition of the function with its inverse should be equal to the original function. This law is also known as the Involution Law or the Composition Law of Inverse Functions.

The Involution law or the Composition law of inverse functions is a fundamental law of mathematics. This law states that for any function f(x) which has an inverse function, f^-1(x), the composition of the function with its inverse should be equal to the original function. That is, F^-1(f(x))=f(f^-1(x)). This law is important as it helps to understand the relationship between the original function and its inverse. This law is useful in solving various mathematical problems and in understanding various mathematical concepts such as differentiation and integration.

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the tuition at a certain college was $29,694 last year

Intial Tution fees of college = $29,694

increased 5.6% from last year to the current year

i.e. Increased fees amonut = 5.6% of intial fees

So, tution of college at present year is : Intial Tution fees of college+ 5.6% of intial fees

So, This year tution fees is $31356.864

In the nearest dollars it will be: $31357

Answer is

7 +g

Step-by-step explanation:

2+5+g

=7+g

Answer:

g+7

Step-by-step explanation:

Have an amazing day!

Answer:

An apple costs 0.30 pounds and a banana costs 0.40 pounds.

Step-by-step explanation:

Let's think of apples as x and bananas as y.

Using the given information, you can write two equations.

\(x+6y=2.70\)

\(x+8y=3.50\)

x can also be written as

\(x=2.70-6y\)

We can plug this equation into the second one to solve for y, or the cost of a banana.

\((2.70-6y)+8y=3.50\)

\(2y=0.8\)

\(y=0.4\)

Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.

\(x+6(0.4)=2.70\)

\(x=0.30\)

Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.

The expression is H(2) = -∫(2 to 1.5) sin(x)ln(x) dx - 4

The Fundamental Theorem of Calculus (FTC) states that if f(x) is continuous on an interval [a, b] and F(x) is an antiderivative of f(x) on that interval, then:

∫(a to b) f(x) dx = F(b) - F(a)

We can apply the FTC to the given function H'(x) = sin(x)ln(x) to find its antiderivative H(x). Using integration by parts, we can solve for H(x) as:

H(x) = -cos(x)ln(x) - ∫ sin(x)/x dx

Evaluating the integral using trigonometric substitution, we get:

H(x) = -cos(x)ln(x) + C - Si(x)

where C is the constant of integration and Si(x) is the sine integral function.

To find the value of C, we use the initial condition H(1.5) = -4, which gives:

-4 = -cos(1.5)ln(1.5) + C - Si(1.5)

Solving for C, we get:

C = -4 + cos(1.5)ln(1.5) + Si(1.5)

Now, we can evaluate H(2) using the antiderivative H(x) as:

H(2) = -cos(2)ln(2) + C - Si(2) + cos(1.5)ln(1.5) - C + Si(1.5)

Simplifying the expression, we get:

H(2) = -cos(2)ln(2) + cos(1.5)ln(1.5) + Si(1.5) - Si(2)

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Answer:

The IQR is 30 grams

Step-by-step explanation:

IQR=Q3-Q1=150-120=30

Answer:

a = 78.56 cm2

Step-by-step explanation:

área de un círculo

\(a=\pi r^{2}\)

r = 5

\(a=\pi (5)^{2} =25\pi =78.56m^{2}\)

Hope this helps

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Answer:

$4 per pint

Step-by-step explanation:

Take $12 and divide by 3 pints.

:)

Answer: x= 12/3

Step-by-step explanation:

The answer to your problem is $4.00 per pint

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

\(Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\\)

\(3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\\)

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

Answer:

To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total? Answer: Luis traveled 11.82 km to visit her grandmother.

Step-by-step explanation:

Answer:

11.82

Step-by-step explanation:

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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The union symbol (∪) means that we are combining all three intervals into a single set.

The set of points from -6 to 0 but excluding -5 and 0 can be expressed as a union of intervals as follows:

(-6, -5) U (-5, 0) U (0, 6)

This means that the set includes all real numbers from -6 to 6, except for -5 and 0, which are excluded. The parentheses indicate that the endpoints (-6, -5, 0, and 6) are not included in the set. The union symbol (∪) means that we are combining all three intervals into a single set.

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The teacher has to select four members out of a math club of twelve members. There are 495 possible ways for her to make the selection.

To determine the number of ways the teacher can select four members from a math club of twelve, we can use the concept of combinations. A combination is a selection of items without regard to the order in which they are chosen. In this case, the teacher needs to select four members, and the order in which they are chosen does not matter.

The formula for calculating combinations is given by "n choose k," which is denoted as C(n, k) or nCk. In this case, the teacher needs to choose four members out of twelve, so the calculation would be 12C4.

Using the formula for combinations, 12C4 = 12! / (4!(12-4)!), where "!" represents the factorial function. Simplifying the expression gives us 12! / (4!8!).

The factorial function represents the product of all positive integers up to a given number. So, 12! is equal to 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Simplifying further, we have 12! / (4!8!) = (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1).

Calculating the expression gives us (11880) / (24) = 495.

Therefore, there are 495 possible ways for the teacher to make her selection of four members from the math club of twelve.

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The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

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Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

The sponsor will donate 750 dollars.

1 kilo is 1000 meters

5 kilos is 1 kilo x 5

1000 meters x 5 is 5000 meters

0.15 x 5000 = 750

Answer:

12345678900987654321

Answer:

3x*14

Step-by-step explanation:

The sum of = A number or addition

A Number = Variable or given number

And = Multiplication/Multiply By

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

To determine the surface area from the net of the box, we simply calculate the area of each shape.

From the given figure, we have the following shapes and dimensions:

The area is then calculated using:

Area = Areas of the rectangle + Area of the triangle

So, we have:

Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7

Evaluate the sum of products

Area = 430.35

Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

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Answer:577.35 square feet

Step-by-step explanation:

‍♀️

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Given:

Four students took a math test on decimals before being tutored. After attending tutoring sessions for a week, they took another test to see if they could improve their scores.

Required:

Here we have to find who's score was lower after tutoring.

Explanation:

Now by considering the red and blue bar in the given figure, we can say that

Kim score was lower after tutoring.

Final Answer:

Kim score was lower after tutoring.

A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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They sold 400 student tickets and 200 student tickets.

And at a certain performance, they sold 100 adult tickets and 200 student tickets.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

Given, Let 'x' represents the number of adult tickets and 'y' represent the number of student tickets.

So, The two equations can be formed as,

x + y = 600 and 7.5x + 4.5y = 3300.

Multiplying equation 1 by 7.5x we have 7.5x + 7.5y = 4500 and subtracting it from equation 2 we have,

- 3y = - 1200.

y = 400 and hence x = 200.

At a certain performance, they sold twice as many student tickets as adult tickets.

y = 2x.

x + y = 300.

x + 2x = 300.

3x = 300

x = 100 and hence y = 200.

100×7.5 + 200×4.5 = 750 + 900 = 1650.

So, they were 3300 - 1650 = $1650 short.

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Answer:

no solution

Step-by-step explanation:

y = 2x - 1 → (1)

y = 2x + 4 → (2)

substitute y = 2x - 1 into (2)

2x - 1 = 2x + 4 ( add 1 to both sides )

2x = 2x + 5 ( subtract 2x from both sides )

0 = 5 ← not possible

This indicates the system has no solution