Last week, Sasha drank 3,300 milliliters of water on Sunday. She drank 2 liters of water each day, Monday through Friday. She drank 2,700 milliliters of water on Saturday. How many milliliters of water did Sasha drink during the 7 days?

The rate at which the volume of the sphere is changing is approximately \(\(0.16\pi\)\) cubic inches per second.

Given:

- \(\(\frac{dA}{dt} = 5\)\) square inches per second (rate of change of surface area)

- \(\(\frac{dr}{dt} = 0.2\)\) inches per second (rate of change of radius)

We want to find the rate at which the volume of the sphere \((\(\frac{dV}{dt}\))\) is changing.

We know the formulas for the volume \((\(V\))\) and surface area \((\(A\))\) of a sphere in terms of its radius \((\(r\))\):

\(\(V = \frac{4}{3}\pi r^3\)\)

\(\(A = 4\pi r^2\)\)

To find \(\(\frac{dV}{dt}\)\), we differentiate the volume formula with respect to time \((\(t\))\):

\(\(\frac{dV}{dt} = \frac{d}{dt} \left(\frac{4}{3}\pi r^3\)\)\)

Using the chain rule, we have:

\(\(\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}\)\)

Now, we can substitute the given values:

\(\(\frac{dV}{dt} = 4\pi (0.2)^2\)\)

Simplifying this expression:

\(\(\frac{dV}{dt} = 0.16\pi\)\) cubic inches per second

Therefore, the rate at which the volume of the sphere is changing is approximately \(\(0.16\pi\)\) cubic inches per second.

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The relevant details from the poem and the description of how they develop the subject are:

The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.

The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.

When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.

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Answer:

x = 9.4m

Hope this helps...Have a good day!!

\(3\sqrt{2} - 4 * (\sqrt{2})^2 = 3\sqrt{2} - 8\)

Answer = \(3\sqrt{2} - 8\)

Answer: \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

Step-by-step explanation:

The given expression: \(\sqrt{\dfrac{16n}{m^3}}\)

'

since \(16=4^2\)

\(m^3=m^{2+1}= m^2\times m\)   [\(a^{n+m}=a^n\times a^m\)]

Now, the given expression becomes,

\(\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}\)

Since there is root in denominator , so we need to rationalize

\(\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}\)

Hence, the correct option is \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

The position of the particle at t=1 second is 11 meters.  To find the position of the particle at t = 1 second, we need to integrate the acceleration function to get the velocity function and then integrate the velocity function to get the position function.

a(t) = 20t^3 + 12t^2

Integrating with respect to t:

v(t) = 5t^4 + 4t^3 + C1

Using the initial velocity condition v(0) = 4 m/s:

4 = 0 + 0 + C1

C1 = 4

So, the velocity function is:

v(t) = 5t^4 + 4t^3 + 4

Integrating with respect to t:

s(t) = (5/5)t^5 + (4/4)t^4 + 4t + C2

Using the initial displacement condition s(0) = 5 m:

5 = 0 + 0 + 0 + C2

C2 = 5

So, the position function is:

s(t) = t^5 + t^4 + 4t + 5

Finally, to find the position of the particle at t = 1 second:

s(1) = 1^5 + 1^4 + 4(1) + 5 = 11

Therefore, the position of the particle at t = 1 second is 11 m.

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Answer:

Multiply 20

answer:\(20^{2}\) feet

Step-by-step explanation:

T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log

This statement is true.

Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.

For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.

In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.

Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.

For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.

Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.

Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.

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Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

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

f has transition points at x= -1π/2, -1π/4, 0, 1π/4, 1π/2.

The given function is f(x) = 2sin(x) + x.

To find the transition points of the function f(x) = 2sin(x) + x on the interval [-π,π] using the graphing utility,

follow the steps below:

Step 1: Open the Graphing Utility

Step 2: Enter the function f(x) = 2sin(x) + x.

Step 3: Click on the zoom-out icon to view the entire interval.

Step 4: Observe the points on the interval where the function changes its behavior.

These are the points where the function has a transition point.

Step 5: Read the points from the graph on the interval [-π, π].

Step 6: List the transition points in the form of a comma-separated list.

Therefore, f has transition points at x= -1π/2, -1π/4, 0, 1π/4, 1π/2.

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The transition points of the function f(x) = 2sin(x)+x within the interval [−π,π] are -π/2 and π/2 where the function changes direction which corresponds to the local maximum and minimum.

The function f(x) = 2sin(x) + x represents a sinusoidal function with a linear component.The transition points will be the locations where the function changes its direction which are maximums, minimums, and points of inflection of the sin(x). Based on the interval [−π,π], we can compute these points as follows:

So, within the boundary of [−π,π], the transition points of the function f(x) = 2sin(x) + x are -π/2 and π/2.

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Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d

The maximum number of texts to send or received in next month will be

25.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Cell phone bill = $24.99 per month

Cost of each text to send or receive = $0.16

Now,

You have at most $29 to spend on your cell phone bill.

Let number of text to send or receive = x

So, We can formulate;

$24.99 + $0.16x < $29

Solve for x as;

$24.99 + $0.16x < $29

Subtract 24.99 we get;

$0.16x < $29 - $24.99

$0.16x < $4.01

Divide by 0.16 we get;

x < 25.06

After rounding we get;

x < 25

Thus, The maximum number of texts to send or received in next month will be 25.

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Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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Answer:

an = 4n + 3

Step-by-step explanation:

Answer:

This may occur when you decide to determine a function as well as a graph.

Step-by-step explanation:

Hope this helps! :D

Answer:

$22.35

Step-by-step explanation:

The amount jack paid  as cash=34.05

The amount paid by gift card   =  4.05

Totally paid at that shop is        =38.10

If one box of nail is 3.15  then,

five boxes cost  15.75

totally paid -five box of nail= the price of hammer

totally paid               =38.10

five box of nail         =15.75

the price of hammer=22.35

PROBLEM 3

ANSWER:

640 per month

SOLUTION:

here, two months are mention directly as first and last month and half month's rent is asked so,

totally they have paid 1600 as  two and a half months rent

so 2.5 multiplied to two it becomes a whole number as 5

therefore,1600 multiplied by 2 is equal to 3200

now if we divide  3200 by 5 we will get one month rent as 640

2 and a half month so 640+640+(640/2) =1600

1280+320=1600

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The total price that Bryce got charged to his credit card is $120.54  .

In the question ,

it is given that the

price for Shorts = $14.00

price for Soccer Ball = $25.00

price for Shin guard = $10.00

price for Cleats = $60.00

the total price for all the items = 14+25+10+60 = $109  

Given that the sales tax is 6% of the total price .

So , the sales tax = 6% of 109 = 0.06×109 = $6.54

According to the question

total price = price + sales tax + shipping cost

= 109 + 6.54 + 5

= 120.54

Therefore , the total price that Bryce got charged to his credit card is $120.54  , the correct option is (D) $120.54   .

The given question is incomplete , the complete question is

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Shorts=$14.00 ,Soccer ball=$25.00 ,Shin guards=$10.00 ,Cleats=$60.00 .

(A) $104.94

(B) $109.94

(C) $115.54

(D) $120.54

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Answer:

pretty sure A and C not positive tho

Step-by-step explanation:

plz let me know if i'm incorrect

Answer: 9

Step-by-step explanation:

11 2/4 - 2 1/2

46/4 - 5/2

23/2 - 5/2

=18/2= 9

hypotenuse of a right triangle is always the side opposite the right angle.

In geometry, a right triangle is a type of triangle that contains one angle measuring 90 degrees, known as the right angle. Right triangles have several distinguishing properties, and one of the fundamental concepts associated with them is the identification of the sides relative to the right angle. In this detailed explanation, we will explore the term that describes the specific side of a right triangle that is always opposite the right angle.

In a right triangle, there are three sides: the hypotenuse, the adjacent side, and the opposite side. The hypotenuse is the side opposite the right angle and is the longest side of the triangle. The adjacent side is the side that forms the right angle with the hypotenuse, while the opposite side is the side that is opposite the right angle. The term that refers to the side of a right triangle that is always opposite the right angle is the "hypotenuse."

To better understand the concept, let's consider the Pythagorean theorem, which is a fundamental relationship in right triangles. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as:

\(c^2 = a^2 + b^2\)

In this equation, "c" represents the length of the hypotenuse, while "a" and "b" represent the lengths of the other two sides (adjacent and opposite). By rearranging the equation, we can solve for the hypotenuse (c):

\(c = \sqrt(a^2 + b^2)\)

From this equation, we can see that the hypotenuse is determined by the lengths of the other two sides of the right triangle. The relationship expressed by the Pythagorean theorem highlights the importance of the hypotenuse in determining the overall shape and size of the right triangle.

Furthermore, the hypotenuse is significant because it provides the longest side of the right triangle. Its length directly influences the triangle's shape and can be used to calculate various properties, such as the triangle's area or the lengths of the other sides.

In trigonometry, the hypotenuse is also crucial for defining trigonometric ratios, such as sine, cosine, and tangent, which are used to establish relationships between the sides and angles of a right triangle.

In conclusion, the side of a right triangle that is always opposite the right angle is called the "hypotenuse." It is the longest side of the triangle and is directly related to the lengths of the other two sides through the Pythagorean theorem. Understanding the concept of the hypotenuse is essential for working with right triangles, as it plays a fundamental role in determining the triangle's properties, shape, and trigonometric relationships.

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Answer:

Add by 4

Step-by-step explanation:

-3+4=1

1+4=5

5+4=9

9+4=13

Given

The situation would best be represented by positive 6

Solution

Let us look at the first option

A. Taking an elevator down 6 floors in a building

Since it is coming down, this situation represents negative 6

B. Deleting 6 photos from a camera's memory card

Since we are removing, it also represent negative 6

C. A plant growing 6 inches

This is increasing and gaining height, so it represent positive 6

D. A group of 6 students getting off a bus

This also is a situation of negative 6, since the students are coming off the vehicle.

Therefore the right option is C

Option C

Answer:

(2 x 3 x \(13x^6\)\(Y^{4\))

Step-by-step explanation:

The evaluated integral are given by:∫ye^(2y^2)dy = (1/4)e^(2y^2) + C∫y^3 e^(2y^2)dy = (1/4)e^(2y^2) + C

Given:Evaluate the given integrals.(a) ∫ye^(2y^2)dy= (b) ∫y^3e^(2y^2)dy=In order to evaluate the given integrals, we use substitution rule, that is, for the integral ∫f(g(x))g'(x)dx, we substitute g(x) with a new variable t. Then dt = g'(x) dx and the integral becomes ∫f(t)dt. (a) ∫ye^(2y^2)dy=Substitute u = 2y2 ⇒ du = 4y dyOn substituting we get,∫ye^(2y^2)dy=∫ (1/4)e^udu= (1/4)e^u + C= (1/4)e^(2y^2) + C(b) ∫y3e^(2y^2)dy=Substitute u = 2y2 ⇒ du = 4y dyOn substituting we get,∫y^3 e^(2y^2)dy=∫ (1/2) y^2 2ye^udu= (1/2) ∫ u du= (1/4)e^(2y^2) + CTherefore, the evaluated integral are given by:∫ye^(2y^2)dy = (1/4)e^(2y^2) + C∫y^3 e^(2y^2)dy = (1/4)e^(2y^2) + C

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The initial number of video views was (fewer than) the initial number of site visits, and the number of video views grew by (a larger factor) the number of site visits. The difference between the total number of site visits and the video views after 5 weeks is (20,825).

Video views refer to the number of times a video has been watched or viewed by viewers.

A site visit refers to a visit or session by a user to a website. It occurs when a user accesses and interacts with webpages or content on a particular website.

The initial number of video views was (fewer than) the initial number of site visits, and the number of video views grew by (a larger factor) the number of site visits. The difference between the total number of site visits and the video views after 5 weeks is (20,825).

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