Marie has 25 cards. Each card has a different symbol on it. Marie gives one card to Shelly and one card to Pauline. In how many different ways can Marie do this?

For the function f(x, y) = x^2 + y^2 + 4x - 4y, subject to the constraint x^2 + y^2 ≤ 49, the extreme values occur at the boundary of the region. The minimum value is -49, which occurs at the point (-7, 0), and the maximum value is 51, which occurs at the point (7, 0).

To find the extreme values of f(x, y) = x^2 + y^2 + 4x - 4y, we need to consider the boundary of the region defined by the inequality x^2 + y^2 ≤ 49. The boundary is a circle with radius 7 centered at the origin (0, 0).

First, we evaluate the function f(x, y) at the points on the boundary of the circle. Plugging in x = 7 and y = 0, we get f(7, 0) = 51, which is the maximum value. Plugging in x = -7 and y = 0, we get f(-7, 0) = -49, which is the minimum value.

Since the boundary of the region is a closed and bounded set, the extreme values occur at the boundary. Therefore, the minimum value of f is -49, which occurs at (-7, 0), and the maximum value is 51, which occurs at (7, 0).

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Answer:

8.5 hours

Step-by-step explanation:

a). 10h + 45 = 130

b). 10h = 130 - 45 ⇒ h = 8.5 hours

Answer:

0 real roots or 2 complex roots

Step-by-step explanation:

Discriminant: b² - 4ac

If d > 0, then there are 2 real zeros

If d = 0, then there is 1 real zero

If d < 0, then there are 0 real zeros and 2 complex/imaginary zeros

Simply substitute a = 1, b = -5, and c = 40

Our d should equal -135, showing us we have 0 real roots and 2 complex ones.

The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:

\(81x^6 - (y + 1)^2\)

Replacing U and V:

\(81(3x^3)^2 - (V)^2\)

Simplifying:

\(81 \times 9x^6 - V^2\)

\(729x^6 - V^2\)

Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)

In this way, we can represent the original expression in a simplified form using the assigned values for U and V.

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Consider the expression: \(81x^6 - (y + 1)^2\)

If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

Answer:

X + P = 34

330X + 250P = 9620

Step-by-step explanation:

The question tells us that there were 34 consoles sold. Therefore, we can draw the straight forward conclusion that whatever combination of consoles were sold, the number Xboxes (X) and PS4s (P) sold together has to be 34 in total. Thus:

X + P = 34

Now, we know the each Xbox sold for $330, and each PS4 sold for $250, and the total sales from the consoles bought was $9620. Thus:

$330X + $250P = $9620

Hope this helps!

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

A cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

We can determine how much interior room a cylinder has by measuring its volume. The volume would be the same as how much material would fill the full can if you had one.

Volume of cylinder = π*r²*h

r is the radius and h is the height.

For given cylinder:

r = 4 ft and h = 9 ft

Volume of given cylinder = π*4²*9

Volume of given cylinder = 144π cu. ft.

Now, from the options:

As, its is clear from  formula of cylinder that there is a square of radius.

Thus,

take radius r = 3 ft  such that r² = 9 ft and height h = 4 ft.

These are the same dimensions as the given cylinder.

Thus, a cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

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Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Examples on processing parameters- properties are Injection - time and resistivity, temperature and resistivity; Molding pressure and resistivity, Filler concentration and resistivity, and Cooling time and resistivity

The main problem that Wu et al. dealt with in their article "Effect of the processing of injection-molded, carbon black-filled polymer composites on resistivity" was the development of an effective method for injection-molded, carbon black-filled polymer composites to optimize the performance of these composites. They intended to explore the impact of processing parameters and how they impact the properties of these composites.

Five examples of processing parameters-properties of the composite relationship of these composites are:

Injection time and resistivity: A longer injection time leads to a lower resistivity but at a higher cost.

Injection temperature and resistivity: As the injection temperature rises, the resistivity of the composite decreases.

Molding pressure and resistivity: As the molding pressure rises, the resistivity of the composite decreases.

Filler concentration and resistivity: As the concentration of filler in the composite rises, the resistivity of the composite decreases.

Cooling time and resistivity: A longer cooling time increases the resistivity of the composite.

Here are two questions that could be asked to the authors of the paper as a referee:

Did the authors carry out any analysis of the thermal properties of the polymer composites? This question is important because thermal properties are crucial to the performance of composite materials. What was the effect of varying the amount of carbon black fillers used in the composite material?

This question is important because the concentration of the fillers in composite materials has a significant effect on the properties of the composite material.

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\(x=\textit{oz of solution at 10\%}\\\\ ~~~~~~ 10\%~of~x\implies \cfrac{10}{100}(x)\implies 0.1 (x) \\\\\\ y=\textit{oz of solution at 20\%}\\\\ ~~~~~~ 20\%~of~y\implies \cfrac{20}{100}(y)\implies 0.2 (y) \\\\\\ \textit{32 oz of solution at 12\%}\\\\ ~~~~~~ 12\%~of~32\implies \cfrac{12}{100}(32)\implies 0.12 (32)\implies 3.84 \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{lcccl} &\stackrel{oz}{amount}&\stackrel{\textit{\% of oz that is}}{\textit{salt only}}&\stackrel{\textit{oz of}}{\textit{salt only}}\\ \cline{2-4}&\\ \textit{10\% salt water}&x&0.10&0.1x\\ \textit{20\% salt water}&y&0.20&0.2y\\ \cline{2-4}&\\ mixture&32&0.12&3.84 \end{array}~\hfill \begin{cases} x + y = 32\\\\ 0.1x+0.2y=3.84 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{x+y=32}\implies y=32-x \\\\\\ \stackrel{\textit{using the 2nd equation}}{0.1x+0.2y=3.84}\implies \stackrel{\textit{substituting from the 1st equation}}{0.1x+0.2(32-x)~~ = ~~3.84} \\\\\\ 0.1x+6.4-0.2x=3.84\implies 6.4-0.1x=3.84\implies 6.4=0.1x+3.84 \\\\\\ 2.56=0.1x\implies \cfrac{2.56}{0.1}=x\implies \boxed{25.6=x}\hspace{5em}\stackrel{ 32~~ - ~~25.6 }{\boxed{y=6.4}}\)

Probability of having exactly 10 days of precipitation in the month of April is 0.097.The probability of having less than three days of precipitation in the month of April is 0.164.The probability of having more than 15 days of precipitation in the month of April is 0.0011.

The probability of having exactly 10 days of precipitation in the month of April:Probability, denoted as P, is defined as the ratio of the number of ways an event can occur to the total number of outcomes. In other words, probability is a measure of how likely it is that an event will occur. Therefore, the probability of having exactly 10 days of precipitation in the month of April is:P (precipitation for 10 days) = Number of days with precipitation on 10 days / Total number of days in April.

Let p be the probability of precipitation on a given day in April, since there are only two possible outcomes, either precipitation or no precipitation, then q = 1 - p. Also, since there are 30 days in April, then the total number of possible outcomes is 230.Hence, the probability of having exactly 10 days of precipitation in April is given by:P (precipitation on 10 days) = (30 C 10)p10 q20Where p = 7/30 and q = 1 - 7/30 = 23/30Then,P (precipitation on 10 days) = (30 C 10) * (7/30)10 * (23/30)20 ≈ 0.097.

What is the probability of having less than three days of precipitation in the month of April?The probability of having less than three days of precipitation in the month of April can be calculated as:P (precipitation less than 3 days) = P (0 days) + P (1 day) + P (2 days)Again, let p be the probability of precipitation on a given day in April, and q = 1 - p. Also, the total number of days in April is 30.

Therefore, the probability of having less than three days of precipitation in the month of April is:P (precipitation less than 3 days) = (30 C 0)p0 q30 + (30 C 1)p1 q29 + (30 C 2)p2 q28Where p = 7/30 and q = 1 - 7/30 = 23/30Then,P (precipitation less than 3 days) = (30 C 0) * (7/30)0 * (23/30)30 + (30 C 1) * (7/30)1 * (23/30)29 + (30 C 2) * (7/30)2 * (23/30)28 ≈ 0.164.

What is the probability of having more than 15 days of precipitation in the month of April?Similarly, let p be the probability of precipitation on a given day in April, and q = 1 - p. Also, the total number of days in April is 30.

The probability of having more than 15 days of precipitation in the month of April can be calculated as:P (precipitation more than 15 days) = P (16 days) + P (17 days) + ... + P (30 days)Then,P (precipitation more than 15 days) = ∑k=16n (30 C k)pk q30-kwhere n is the number of days and pk = (7/30) and qk = (23/30)Therefore,P (precipitation more than 15 days) = ∑k=16^30 (30 C k) * (7/30)k * (23/30)30-k ≈ 0.0011.

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Answer:

She used 9 tiles which are 3 cm long

Step-by-step explanation:

cuz 3x9=27 and yea

Answer:

\(\frac{x-1}{x-2} +\frac{x-3}{x-4}= \frac{(3\frac{1}{3})(x) }{n} (2.71828224)\)

hope it helps

The width of the larger cell phone: \(W_{2}=\frac{(W_{1} *L_{2})}{L_{1} }\)

Length is a measure of the size of an object in one dimension. It refers to the distance between two points, usually measured in units such as meters, feet, inches, or centimetres.

Width is a measure of the size of an object in one dimension, specifically the distance between its two sides that are parallel to each other. It is usually considered the shorter of the two dimensions, the other being length.

Since the length and width of the two cell phones are proportional, we can express this relationship using a proportion. Let \(L_{1}\) and \(W_{1}\) be the length and width, respectively, of the smaller cell phone, and let \(L_{2}\) and \(W_{2}\) be the length and width, respectively, of the larger cell phone. Then we have:

\(\frac{L_{1} }{W_{1} } =\frac{L_{2} }{W_{2} }\)

We can rearrange this equation to solve for the width of the larger cell phone:

\(W_{2}=\frac{(W_{1} *L_{2})}{L_{1} }\\\)

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Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.

The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:

ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36

Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.

By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.

The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.

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Answer:

its 3

Step-by-step explanation:

Answer:

C can u pls give me brainliest so i can lvl up

Step-by-step explanation:

Answer:

C. depression

Step-by-step explanation:

:(((((((((

Answer:

64

Step-by-step explanation:

Answer:

28 u^2

Step-by-step explanation:

Seperate the object into parts as shown below. The area of a rectangle is l*w. The area of a triangle is (w*h)/2. Include units squared.

The amount of the continuous money flow is approximately $47,371.21.  The correct choice is B. $47,371.21.

To find the amount of continuous money flow, we can use the continuous compound interest formula:

A = P * e^(rt),

where A is the final amount, P is the principal amount, r is the interest rate, and t is the time.

In this case, the principal amount (P) is $900 per year, the interest rate (r) is 8.5% or 0.085, and the time (t) is 20 years.

Substituting these values into the formula, we have:

A = 900 * e^(0.085 * 20).

Using a calculator or software to evaluate the exponential term, we find:

A ≈ $47,371.21.

Therefore, the amount of the continuous money flow is approximately $47,371.21.

The correct choice is B. $47,371.21.

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f(x) is increasing on the intervals (−∞, π/4) and (5π/4, ∞), and decreasing on the interval (π/4, 5π/4).

To determine the intervals on which f(x) = 3sin(x) + 3cos(x) is increasing and decreasing, we need to find the derivative of f(x) and examine its sign.

f'(x) = 3cos(x) - 3sin(x)

To find where f'(x) = 0, we set the derivative equal to zero and solve:

3cos(x) - 3sin(x) = 0

cos(x) - sin(x) = 0

From this equation, we can see that it is satisfied when x = π/4 and x = 5π/4.

Now, we analyze the sign of f'(x) in different intervals:

For x < π/4: f'(x) > 0, so f(x) is increasing.

For π/4 < x < 5π/4: f'(x) < 0, so f(x) is decreasing.

For x > 5π/4: f'(x) > 0, so f(x) is increasing.

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x is 8 units,the length of a side of the hexagon or square, where the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon .

In order to solve this problem, where we are given that a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon, So  we use the formula for the perimeter of a square which is:  P = 4x, and the formula for the perimeter of a regular hexagon is  P = 6x.Now  we set these two equations equal to one another and solve for x, where we get, 4x + 32 = 6x, so x = 8. Therefore, the length of each side of the square and hexagon is 8 units.

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Answer:

C= 45 + 19.95h

Step-by-step explanation:

45 for each home vist means one time payment

19.95 ever hour means you are charged 19.95 every hour

H= hour

Answer- X^4 - 4X^2

Step-by-Step Explanation

For the thing u must..........

Step-by-step explanation:

The two angles added together = a right angle = 90 degrees

so  8m+7    + 5m+5   = 90

      13m  + 12 = 90

     13m = 78

      m = 78/13 = 6

Answer:

4, and -9

Step-by-step explanation:

Well, to solve this problem, lets first list all the factors of -36.

-36 = 1*(-36)

-36 = 2 * (-18)

-36 = 3 * (-12)

-36 = 4 * (-9)

-36 = 6 * (-6)

-36 = 12 * (-3)

-36 = 18 * (-2)

-36 = (-36) * 1.

So, we can see that 4 + (-9) = -5.

Answer:

13,160

Step-by-step explanation:

\(si \: = \frac{pnr}{100} \)

P = principle amount

n = no.of years

r = rate(%)

\( = \frac{5600 \times 45 \times 3}{100} \)

= 56 × 45× 3

= 7560

The final answer is 5600 + 7560 = 13160

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Answer:

Yes the mark on two or more sides mean they are congruent, that is a reflected tricangle

Step-by-step explanation: