Express the radical using the imaginary unit, i.
Express your answer in simplified form.

Answer:Yes

Step-by-step explanation:

Carmela:3/4/3=1/4 per mile

Hari:1/2/2=1/4 per mile

Answer:

2 radians

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

let x be the central angle , then

arc = 2πr × \(\frac{x}{2\pi }\) ( cancel 2π on numerator and denominator )

    = 2r × x

given arc length = 40 , then

2 × 10 × x = 40

20x = 40 ( divide both sides by 20 )

x = 2

the central angle has a measure of 2 radians

The given functions and their integrals with respect to x are

a) f = 2x, Integral of f dx = x² + C (where C is the constant of integration).

b) f = 2x + exp(x²), Integral of f dx = x² + 1/2 exp(x²) + C (where C is the constant of integration).

c) f = x⁴ exp(x) cos(x), Integration by parts gives Integral of

f dx = x⁴ exp(x) sin(x) - 4x³ exp(x) sin(x) + 12x² exp(x) cos(x) - 24x exp(x) cos(x) - 24 exp(x) sin(x) + C (where C is the constant of integration).d) f = x^(-1), Integral of f dx = ln |x| + C (where C is the constant of integration).

Thus, the integrals of the given functions with respect to x are:

x² + C, x² + 1/2 exp(x²) + C, x⁴ exp(x) sin(x) - 4x³ exp(x) sin(x) + 12x² exp(x) cos(x) - 24x exp(x) cos(x) - 24 exp(x) sin(x) + C, and ln |x| + C, respectively.

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Answer:

(1,2)

Step-by-step explanation:

y = 2x. y = -x+3

Set the two equations equal

2x = -x+3

Add x to each side

2x+x = -x+x+3

3x = 3

Divide by 3

3x/3 = 3/3

x = 1

Now find y

y =2x = 2(1) = 2

(1,2)

Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.

We are given the equations below:

\( \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}\)

Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.

\( \large{2 x = - x + 3}\)

Isolate the x-term by adding both sides by x.

\( \large{2x + x = - x + 3 + x} \\ \large{3x = 3}\)

Divide both sides by 3 so we can finally get the x-isolated equation.

\( \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }\)

Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.

\( \large{y = 2x}\)

Substitute x = 1:

\( \large{y = 2(1) \longrightarrow y = 2}\)

The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).

Answer

I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!

Step-by-step explanation:

novels : cookbooks : reference books

Answer:

6 : 33 : 8

Step-by-step explanation:

cookbook = C

novel = N

reference book = R

C : N = 2 : 11

C : R = 3 : 4

C : N : R = ?

Start with C : N = 2 : 11

2 is not divisible by 2, so multiply this ratio by 3.

C : N = 6 : 33

C : R = 3 : 4 multiply by 2 to get

C : R = 6 : 8

C : N : R = 6 : 33 : 8

The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.

However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.

Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.

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Answer:

100

Step-by-step explanation:

10 puls 10 10 times lol

Answer:

4.37

Step-by-step explanation:

First, write the problem as an equation : P% × Y = X

Here, P is 25, Y is 17.49, so the equation to solve is 25% × 17.49 = X

Convert 25% to fraction

To convert a percent to a fraction, just remove the percent sign and divide the given number by 100

25% = 25/100

Substitute 25/100 instead of 25% in the above equation, then 25% × 17.49 = X becomes 25/100 × 17.49 = X

Solve for X:

X = 25/100 × 17.49

X = (25×17.49)/100

x = 437.25/100 = 4.37

Therefore, 25% of 17.49 is 4.37

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{10^{15}}{10^4}}\)

\(\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}\)

\(\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}\)

\(\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}\)

\(\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

\((5x+3)(2x+1)\)

Step-by-step explanation:

- Sum-product method

For a polynomial of the form \(ax^2+bx+c\)

We rewrite the middle term as a sum of two terms whose product is

\(a*c = 10*3 = 30\) and whose sum is \(b = 11\)

\(10x^2 + 11x + 3\)

\(10x^2 + 6x + 5x + 3 -- > (3*10 = 6*5), (6+5 = 11)\)

- Factor using the greatest common factors (GCF)

\(2x(5x + 3) + 1(5x + 3)\)

- Final Answer

\(= (5x+3)(2x+1)\)

if we're going with single topping, single cheese per pizza, the answer is 30.

Answer:

26

Step-by-step explanation:

6(3) =18 18+8=26

Answer:

dunny but 4950

Step-by-step explanation:

4960-

Using the law of sines, the relation between the lengths x and y is given as follows:

x < y.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

On the given triangle, we have that:

Then:

sin(50º)/y = sin(48º)/x

x/y = sin(48º)/sin(50º)

The sine is increasing throughout the first quadrant, meaning that:

sin(50º) > sin(48º).

From the other side of the equality, this also means that:

y > x -> x < y.

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Answer:

10

Step-by-step explanation:

Answer:

look at the picture .................

The cost function is C(w) = 300/w + 18w² and the cost of materials for the cheapest such container is $222.0

From the question, we have the following parameters that can be used in our computation:

The length is twice the width;

Volume = 10m³

This means that:

V = 10

l = 2w

The volume of the container is calculated as:

V = lwh

So, we have

v = 2w²h

By substitution, we have

h = v/2w²

So, we have

h = 10/2w²

Divide

h = 5/w²

The surface area of an open rectangular storage is:

A = 2h(l + w) + lw

So, we have

A = 2h(2w + w) + 2w²

A = 2h(3w) + 2w²

Substitute h = 5/w²

A = 2 * 5/w² * (3w) + 2w²

Evaluate

A = 20/w + 2w²

The base costs $15, and the sides cost $9

So, the cost function is:

C(w) = 15 * 20/w + 2w² * 9

Rewrite as:

C(w) = 300/w + 18w²

We have

C(w) = 300/w + 18w²

Differentiate

C'(w) = -300/w² + 36w

Set to 0

-300/w² + 36w = 0

Rewrite as:

-36w = -300/w²

Cancel out the negatives

36w = 300/w²

Multiply through by ²

36w³ = 300

Divide through by 36

w³ = 8.33

Take cube roots of both sides

w = 2.03

Recall that:

C(w) = 300/w + 18w²

So, we have:

C(2.03) = 300/2.03 + 18(2.03)²

Evaluate

C(2.03) = 222.0

Hence, the cost of the materials is $222.0

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SOLUTION

To find the percentage increase, we need to know the percentage change

Recall that

Where

Substitute into the formula above, we have

After simplification, we have

Therefore

The percentage increase is 10%

Answer:

24 AND 48

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Ethan has achieved object constancy, which is the ability to recognize an object despite changes in its orientation, size, or location.

Object constancy is an important developmental milestone that typically occurs during early childhood. It involves the ability to recognize that an object maintains its identity despite changes in its appearance or position. In other words, even when an object is viewed from a different angle or distance, or when its size is altered, it is still perceived as the same object. This ability is crucial for cognitive development, as it allows children to understand that objects in the world have a stable existence and can be recognized even if they are not seen in their usual form.

In the case of Ethan recognizing the cone-shaped ice cream, he was able to understand that the object remained the same even when its orientation was changed. This ability requires the integration of perceptual information and memory, as well as the ability to mentally rotate or transform the object's image in one's mind. Object constancy is considered an important foundation for further cognitive development, as it allows for the recognition and understanding of more complex objects and concepts.

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Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Answer:

-9

Step-by-step explanation:

To solve this problem, you first need to put this problem in degree descending order.

monoidalTo do this, you first put the mononoimal with the highest exponent (The one with the most value).

This is done below:

\(F(x)=-4x^2-9x^5+7x^3+4x^4\\\\\) - This is the original problem just rewritten

\(F(x)=-9x^5-4x^2+7x^3+4x^4\) - You move the -9x first because it has the highest exponent of 5

\(F(x)=-9x^5+4x^4-4x^2+7x^3\)exponent - We put the 4x next because the expinet of 4 is higher than both 2 and 3

\(F(x)=-9x^5+4x^4+7x^3-4x^2\)because - Next, we put the 7x before the -4x because it has a higher exponent

After doing this, we can see that the leading monomial is \(-9x^5\). The leading coefficient is the number in front of the variable or, in this case, -9.

Answer:

0.333

Step-by-step explanation:

Answer: 6

Step-by-step explanation:Shannon buys a bag online for $32.00 including tax, and the shipping is $4.00. If she decided to buy more of the same bags and it doesn't change the shipping cost, how many can she buy with $100.00

To find a basis w1, w2, and w3 for R such that P is the change of coordinates matrix from V1, V2, and Vs to (wi, w2, ws), we need to express each vector in terms of the vectors (wi, w2, ws) and form the change of coordinate matrix.

(a) To find the change of the coordinate matrix from basis F to basis D, we need to express each vector in F as a linear combination of the vectors in D and then form a matrix with the coefficients. Let's denote the coefficients of expressing each fi in terms of the vectors in D as ci1, ci2, ..., cis. The change of coordinate matrix C from F to D is then formed by arranging these coefficients column-wise. Each column of C represents the coordinates of one vector in F with respect to the basis D.

(b) Given the vector [x] = [2, 2, -1] with respect to basis F, we can find its representation in terms of the basis D by multiplying the change of coordinate matrix from F to D (found in part (a)) with the column vector [x]. This will yield a new column vector [y], where each entry yi represents the coordinate of the corresponding vector di in basis D.

For the second part of the problem, we are given the matrix P and vectors V1 = [2, 5, 6] and V2 = [1, 1, 1]. To find a basis u for R such that P is the change of coordinates matrix, we need to find vectors u1, u2, and u3 such that P is formed by arranging the coordinates of V1, V2, and u3 column-wise. In other words, the columns of P represent the coordinates of V1, V2, and u3 with respect to basis u.

Similarly, to find a basis w1, w2, and w3 for R such that P is the change of coordinates matrix from V1, V2, and Vs to (wi, w2, ws), we need to express each vector in terms of the vectors (wi, w2, ws) and form the change of coordinate matrix. Each column of P represents the coordinates of one vector in the original basis (V1, V2, and Vs) with respect to the new basis (wi, w2, ws).

Overall, the problem involves finding changes in coordinate matrices between different bases and representing vectors in terms of different bases using these matrices.

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Answer:

-5

Step-by-step explanation:

-3 + -1 = -4

-1/3 + -2/3 = -1

-1 + -4 = -5

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

An all-night study session can help you catch up on school assignments. The only way to become a straight-A student is efficient study habits.

Most students pseudo-work and end up wasting valuable time.

The correct option is (C)

This is based on an article about pseudo-working which is something that students do where they read for long hours and appear very serious in reading when in fact they do not focus on the reading and therefore end up not grasping much.

The author was trying to express that most students do this and that it is simply a waste of time which could have been spent actually studying.

The correct option is (C).

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The given question is incomplete, complete question is:

What central idea about studying does the author express in Passage 1?

A Straight-A students know how to work harder than other students.

B The only way to become a straight-A student is efficient study habits.

C Most students pseudo-work and end up wasting valuable time.

D An all-night study session can help you catch up on school assignments.