how do i express my answer in terms of pi

Answer:

14

Step-by-step explanation:

(-2) + (-15) - (-3)​

~Simplify

-2 - 15 + 3

~Subtract

-17 + 3

~Add

-14

Best of Luck!

Answer:

−2−15−(−3)

=−17−(−3)

=−14

Answer:

Yes it is.

Step-by-step explanation:

This is because a perfect square is the product that is given when the multiplier is multiplied by itself

Answer:

n = 322

Step-by-step explanation:

n/7 + 12 = 58

Subtract 12 from each side

n/7 = 58-12

n/7 = 46

Multiply each side by 7

n= 46*7

n = 322

123456789012345678900987654321123456

Answer: the value of x is 9 and the value of y is 9 there you have your answer

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

1 dozen equals 12 so 12 x 4 would be 42

Answer:

9 and 2

Step-by-step explanation:

...............

Answer and Step-by-step explanation:

The answer is 9 and 2.

9 times 2 will equals 18.

9 plus 2 equals 11.

#teamtrees #PAW (Plant And Water)

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

Step-by-step explanation: (3 sqrt 2x^3)(sqrt 8x^3) when simplified is 12x^8

Answer:

A is the correct option.

Step-by-step explanation:

Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.

Then,

(5x + 2) ° + 13° = 90°

5x + 15° = 90°

5x = 75°

x = 15°

Answer:

P(lollipop) = 7/21 = 1/3

Answer:

D) 408

E) 684

F) 377

Step-by-step explanation:

In these problems, we can simplify the multiplication using these steps:

1. split each number into a tens and ones place

2. multiply each place of the bottom number by both places of the top number (but remember that a digit in the tens place has a zero after it)

3. add the resulting values

D) First, we can split each number into a tens and ones place:

17 = 10 and 7

24 = 20 and 4

Next, we can multiply each digit of the bottom number by both digits of the top number:

(4 × 7)

(4 × 10)

(20 × 7)

(20 × 10)

Finally, we can add all of these values:

(4 × 7) + (4 × 10) + (20 × 7) + (20 × 10)

= 28   +     40    +     140    +     200

= 408

E)

36 = 30 and 6

19 = 10 and 9

Multiplying the places:

(9 × 6)

(9 × 30)

(10 × 6)

(10 × 30)

Adding these values:

(9 × 6) + (9 × 30) + (10 × 6) + (10 × 30)

= 54    +    270    +    60     +    300

= 684

F)

29 = 20 and 9

13 = 10 and 3

Multiplying the places:

(3 × 9)

(3 × 20)

(10 × 9)

(10 × 20)

Adding these values:

(3 × 9) + (3 × 20) + (10 × 9) + (10 × 20)

= 27    +    60      +     90    +    200

= 377

The numbers for which the graph of y = tan(x) has vertical asymptotes in the range -2π ≤ x ≤ 2π are -3π/2, -π/2, π/2, and 3π/2. The correct option is B: -3π/2, -π/2, π/2, 3π/2.

The tangent function, denoted as tan(x), has vertical asymptotes where the function approaches infinity or negative infinity. In other words, vertical asymptotes occur where the tangent function is undefined.

The tangent function is undefined at odd multiples of π/2. Therefore, the vertical asymptotes for the function y = tan(x) occur at x = -3π/2, -π/2, π/2, and 3π/2.

Considering the options:

A. -2, -1, 0, 1, 2: This set of numbers does not include the values -3π/2, -π/2, π/2, or 3π/2. Therefore, it does not represent the numbers for which the graph of y = tan(x) has vertical asymptotes.

B. -3π/2, -π/2, π/2, 3π/2: This set correctly includes the values where the graph of y = tan(x) has vertical asymptotes.

C. -2π, -π, 0, π, 2π: This set does not include -3π/2 or 3π/2, which are vertical asymptotes for y = tan(x).

D. None: This option is incorrect since we have already identified the vertical asymptotes in option B.

Therefore, the correct answer is option B: -3π/2, -π/2, π/2, 3π/2.

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Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.

Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.

Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.

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Answer:

with f(x,y)=1 if at least one of x, y is irrational and =0 otherwise. Such a differential equation will have no solution, I guess.

Answer:

2,3,4

Step-by-step explanation:

Answer:

C. |12 - x| ≤ 0.25

Step-by-step explanation:

The possible length of the ribbon is within 0.25 inches of either side of the desired length of 12 inches. This means the length of the ribbon could be as short as 12 - 0.25 inches or as long as 12 + 0.25 inches.

Therefore, the correct inequality that describes all the possible lengths (x) in inches of the ribbons Jaime cut is: C. |12 - x| ≤ 0.25

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Answer:

\(x_1=2; x_2=-1\)

Step-by-step explanation:

The square term is \(x^2\) so we expect the complete square to be of the form \((x-a) ^2=x^2+2ax+a^2\).

Let's compare the first degree terms now: we have \(2ax\) on one side and \(-1x\) on the other. That would make \(a=- \frac12\). At this point we have still the second squared term, so we add and subtract \(\frac14 = (\frac12)^2\)

Our equation becomes:

\(x^2-x+\frac14 -\frac14-2 =0\\(x-\frac12)^2-\frac94=0\)

(the \(\frac94\) term comes from rewriting \(2= \frac84\) and adding the terms out of the bracket).

At this point it's just solving the equation:

\((x-\frac12)^2 = \frac94 \rightarrow x-\frac12=\pm\frac32\\x=\frac12\pm\frac32\\x_1=\frac42 = 2; x_2=\fra-\frac22=-1\)

Answer:

D- Would you like to waste taxpayersy money to build a new skate park

Equation shows that Tom's indirect utility function V(p, w) is convex in p, as desired.

V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)

To prove that Tom's indirect utility function V(p, w) is convex in p, where p is the price vector and w is the wealth, we need to show that for any two price vectors p1 and p2, and for any λ ∈ [0,1], the following inequality holds:

V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)

To prove this, we can use the concept of homothetic preferences.

Homothetic preferences imply that the utility function is homogeneous of degree zero, meaning that multiplying prices and income by the same positive constant does not affect the consumer's preferences.

Let's assume Tom's utility function is U(x), where x represents the consumption bundle.

Tom's indirect utility function can be defined as:

V(p, w) = max { U(x) | px ≤ w }

Now, consider two price vectors p1 and p2, and let x1 and x2 be the optimal consumption bundles for p1 and p2, respectively.

Since U(x) is homogeneous of degree zero, we have:

U(λ\(x1\)+ (1-λ)\(x2\)) = U(x1 + λ(x2 - x1)) = U(x1) [using homogeneity]

From the definition of the indirect utility function, we know that V(p, w) = U(x), where x is the consumption bundle that maximizes U(x) subject to the budget constraint.

Therefore, we have:

V(λp1 + (1-λ)p2, w) = U(x1) [since λx1 + (1-λ)x2 is the optimal consumption bundle for λp1 + (1-λ)p2]

Now, let's consider the right-hand side of the inequality:

λV(p1, w) + (1-λ)V(p2, w) = λU(x1) + (1-λ)U(x2) [using the definition of the indirect utility function]

Since U(x1) = U(x2) (as shown above), we can simplify the right-hand side:

λV(p1, w) + (1-λ)V(p2, w) = U(x1)

Therefore, we have:

V(λp1 + (1-λ)p2, w) ≤ λV(p1, w) + (1-λ)V(p2, w)

This shows that Tom's indirect utility function V(p, w) is convex in p, as desired.

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Answer:

4

Step-by-step explanation:

$54-$6=$48

$48/4h=12$/h

Answer:

he had to worked 4 hours

minimum:10

output :509

maximum:5

output: 634

Explanation

Step 1

graph the function:

to do this, you need put values for x, and you will get a set of values for y, those formed pairs are the coordinates,

we can see, there are a minimun and a maximum

Step 2

find the minimum

To find the local minimum of any graph, you must first take the derivative of the graph equation, set it equal to zero and solve for

a) derivate

To take the derivative of this equation, we must use the power rule

solve for x by applying the quadratic formula

then, let's find the output when x=5

so,infelection point is (5,634)

Step 3

Now, the output when x=10

inflection point (10,509)

Step 3

so, at x=5 and x=10 we have two inflection points, to know if those points are minimum we need to check the second derivate of the fucntion

now, check if f''(x) is greater than zero

a)at x=5

it is smaller than zero, it means (5,634) is a maximum

b)at x=10

it is greater than zero, it means (10,509) is a minimum

I hope this helps you

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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The Underlined Value Is A Parameter Following The Election, 18% Of The Governors Of All 50 areas of a country were female.

In the statement, the underlined value, which is "18%," represents the proportion of female governors in all 50 areas of a country.

In statistics, a parameter refers to a numerical characteristic of a population, while a statistic refers to a numerical characteristic calculated from a sample of the population.

Since the statement mentions the proportion of female governors in all 50 areas of the country, the value 18% represents a characteristic of the entire population. Therefore, in this context, 18% is a parameter.

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Answer:

x=-3

Step-by-step explanation:

follow the PEMDAS method then see if the 2 equation equal each other after plugging in the x.

Answer:

x = - 3

Step-by-step explanation:

Given

- 3(7x - 5) = 87 + 3x ← distribute parenthesis on left side

- 21x + 15 = 87 + 3x ( subtract 3x from both sides )

- 24x = 72 ( divide both sides by - 24 )

x = - 3

Step-by-step explanation:

1d

2b

3c

4a

those are the answers

Answer:

a-2;4

b-2;4

c-1

d-3

Step-by-step explanation:

-4/5=-20/25=-8/10

1/2=2/4

1/3=3/9

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier