Noah has $2.85 in quarters and nickels. He has 13 coins altogether. How many coins of each kind does he have?

Using the Pythagorean theorem,

Given that: a = 13 inches and c = 51 inches. Plugging in the values, we get:
13² + b² = 51²
169 + b² = 2601 ⇒ b² = 2432
Finally, find the square root of 2432 to get the width:
b ≈ 49.3 inches
So, the width of the screen is approximately 49.3 inches.

Using the Pythagorean theorem, we can find the width of the flat-screen television. Given the diagonal length (51 inches) and the height (13 inches), we can solve for the width.

To find the width of the screen, we need to use the Pythagorean theorem. We know that the diagonal of the screen is 51 inches and one side of the screen (the height) is 13 inches.

So, we can use the formula:
c^2 = a^2 + b^2

where c is the diagonal (51 inches), a is the height (13 inches), and b is the width (what we're trying to find).

Plugging in the values:
51^2 = 13^2 + b^2
2601 = 169 + b^2
2432 = b^2
b ≈ 49.3

Therefore, the width of the screen is approximately 49.3 inches.

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The number of square units enclosed by the polygon is 18.

First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.

So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.

So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17

Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.

Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.

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Answer:

B) Three inches and some number of feet have a total measurement a of 39 inches. How many feet are there?

Step-by-step explanation:

A is wrong since you add 3, not remove it.

C is wrong because 12 is the one being multiplied, not 3

D is wrong because x has to be the same thing as 12, just how many of it there are.

Please give brainliest if I helped! :)

To solve the differential equation xy' = yxe^(6y/x) by making the change of variable v = y/x, we can rewrite the equation in terms of v and x. Then, we differentiate the equation and substitute the expressions for v and v' back into the original equation.

Let's begin by making the change of variable v = y/x. Taking the derivative of v with respect to x using the quotient rule, we have:

v' = (y'x - y)/x^2

We can rewrite the original differential equation xy' = yxe^(6y/x) in terms of v and x:

x((v'x + v) / x^2) = (vx)e^(6(vx)/x)

Simplifying the equation, we get:

v' + v/x = ve^(6v)

Multiplying both sides of the equation by x, we have:

xv' + v = xve^(6v)

Now, we differentiate both sides of the equation with respect to x:

v' + xv" + v' = ve^(6v) + 6vve^(6v)

Substituting the expression for v' from the previous step, we get:

v' + xv" + v' = ve^(6v) + 6v^2e^(6v)

Simplifying the equation further, we have:

xv" = ve^(6v) + 6v^2e^(6v)

Now, we have a first-order linear differential equation in terms of v and x. We can solve this equation for v by integrating both sides with respect to x.

Once we have the solution v(x), we can substitute it back into the equation v = y/x to obtain the solution y(x) in terms of x.

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Answer:

12x+16-4y

Step-by-step explanation:

Answer:

lets start with x = 5x+7x=12x

now y = 2y-6y= -4y

now reg numbers = 8+8=16

now add all of them not litteraly add by add as in make them into a expression

so

12x-4y+16

Answer:

c

Step-by-step explanation:

to write in scientific notation, the number has to be less than 10 but more than one

so for the given number let’s say there’s a decimal at the end

49,010,000.

to move the decimal to the right of 4, we’re moving 7 places

that’s why once the number is

4.901

we write a x10^7 after because you have to move the decimal 7 places to the right to get it back to the original number

(a) The best response functions for both players are:

Player 1's best response function: x = 1 - y

Player 2's best response function: y = 1 - x

(b) The Nash equilibrium of this game is when both players contribute half of the maximum possible contribution, which is 0.5.

To find the best response functions, we need to determine the strategies that maximize the payoffs for each player given the other player's strategy.

For Player 1, the payoff function is 2(x + y + xy) - x². To find the best response, we maximize this function with respect to x while assuming y is fixed. Taking the derivative of the payoff function with respect to x and setting it to zero, we get:

∂(2(x + y + xy) - x²)/∂x = 2 + 2y - 2x = 0

Simplifying this equation, we find:

2x = 2 + 2y

x = 1 + y

x = 1 - y (rearranging the equation)

This is the best response function for Player 1.

Similarly, for Player 2, the payoff function is 2(x + y + xy) - 2y². Maximizing this function with respect to y while assuming x is fixed, we differentiate and set it to zero:

∂(2(x + y + xy) - 2y²)/∂y = 2 + 2x - 4y = 0

Simplifying the equation, we find:

2y = 2 + 2x

y = 1 + x

y = 1 - x (rearranging the equation)

This is the best response function for Player 2.

To find the Nash equilibrium, we need to find the values of x and y where both best response functions intersect. Solving the simultaneous equations x = 1 - y and y = 1 - x, we find the Nash equilibrium point at x = y = 0.5.

The best response functions for both players in this game are Player 1's best response function: x = 1 - y and Player 2's best response function: y = 1 - x. The Nash equilibrium occurs when both players contribute half of the maximum possible contribution, which is x = y = 0.5.

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Answer:

The answer to your problem is, 7192 feet

Step-by-step explanation:

The height of the plane from the ground is given as:

H = 1125 ft

Here let say the distance is " d ". ( D = Distance )

Which is:

\(\frac{H}{d} sin\)θ

Then, d = \(\frac{H}{sin0}\)

We will have:

d = \(\frac{1125}{sin9}\)

d = 7192 feet

Thus the answer to your problem is, 7192 feet

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Quadrants are the four regions of the Cartesian plane that are separated by the x-axis and the y-axis. They are numbered counterclockwise starting from the positive x-axis, which is also known as the 0-degree axis. Therefore, if sec >0 and sin <0, the point lies in the fourth quadrant.

The first quadrant is where both the x and y coordinates are positive, the second quadrant is where the x coordinate is negative and the y coordinate is positive, the third quadrant is where both the x and y coordinates are negative, and the fourth quadrant is where the x coordinate is positive and the y coordinate is negative.

To determine in which quadrant a point lies based on the signs of the trigonometric functions, we can use the following rules:

If sin > 0 and cos > 0, the point lies in the first quadrant.

If sin > 0 and cos < 0, the point lies in the second quadrant.

If sin < 0 and cos < 0, the point lies in the third quadrant.

If sin < 0 and cos > 0, the point lies in the fourth quadrant.

In this case, we are given that sec > 0 and sin < 0. We know that sec is the reciprocal of cos, so sec > 0 implies that cos > 0. We also know that sin < 0, which means that the y coordinate of the point is negative.

Based on the rules above, we can conclude that the point lies in the fourth quadrant. This is because sin is negative (so the point is below the x-axis) and cos is positive (so the point is to the right of the y-axis), which is the condition for a point to lie in the fourth quadrant.

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Answer:

35/49 - 3/7 = 2/7

(Brainliest please!!!)

Answer: 8 (I might have gotten it wrong tho) could be -8 too btw.

Step-by-step explanation:

42x9=378 and 9x4=36. 9x30=270 so that would make the equation 378-36=270-9(_). Simplified a bit more would be 342=270-9(_). Now subtract 270 from both sides you get 72=9(_) so it would be 8. Sorry if I’m wrong tho.

Answer:

9(42) - 9(4) = 9(30) - 9(-8)

Step-by-step explanation:

9(42 - 4) = 9(38)

9[30 - (-8)] = 9(38) because of rules of subtracting integers is:

Two like signs become a positive sign

Example:

3+(+2) = 3 + 2 = 5

6−(−3) = 6 + 3 = 9

Two unlike signs become a negative sign

Example:

7+(−2) = 7 − 2 = 5

8−(+2) = 8 − 2 = 6

Answer:

Step-by-step explanation:

The circle is divided into 5 sections. The probability that the needle lands on a particular color is equally likely.

   So,

        \(P(red) = \frac{1}{5}\\\\P(green) = \frac{1}{5}\\\\\)

   Probability of not blue = 1 - Probability of blue

                                      \(= 1 - P(blue)\\\\=1 - \frac{1}{5}\\\\= \frac{4}{5}\)

For this exercise you need to remember the following:

1. The sum is the result of an Addition.

2. By definition, given:

Its reciprocal is:

3. The word "times" indicates a Multiplication.

In this case, let be "n" the number mentioned in the exercise. Its reciprocal is:

Based on the information given in the exercise, you can set up the following equation:

Now you must solve for "n":

1. Simplify:

2. Make the equation equal to zero:

3. Apply the Quadratic formula. This is:

In this case:

Substituting values and evaluating, you get:

The answer

There are two numbers:

Answer:

0.8 and 3.75.

Step-by-step explanation:

If the number is x, then:-

x + 3 * 1/x = 91/20

x^2 + 3 = 91x/20

x^2 - (91/20)x + 3 = 0

x^2 - 4.55x + 3 = 0

x = [-(-4.55) +/- sqrt((-4.55)^2 - 4*1*3)] / 2

x = 0.8, 3.75.

The cost of the jam Elmo uses to make the sandwiches =$1.65

What is the cost of the jam Elmo uses to make the sandwiches?

B globs of Peanut butter at 4 cents = 4B

J blobs of Jam at 5 cents = 5J

The number of sandwiches is given by the linear equation,

N(4B + 5J ) =$ 2.53

N(4B + 5J ) = 253 cents    ---(1)

The factors of 253 = 1, 11, 23, 253.

Since N > 1 , N is 11 or 23

Considering N = 11

11(4B + 5J ) = 253

4B + 5J  = 23   ---(2)

The possible values of B and J to satisfy the linear equation:

B = 2 and J = 3

Substituting B and J in (2)

4B + 5J  = 23

4 (2) + 5(3) = 23

8 + 15 = 23

23 = 23

The linear equation is verified.

The cost of jam Elmo uses to make the sandwiches =N( 5J)

                                                                                       =11 (5*3)

                                                                                       = 11 *15

                                                                                        = 165 cents or $1.65

The complete question is:

elmo makes N sandwiches for a fundraiser. for each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that B, J, and N are positive integers with N>1. what is the cost of the jam elmo uses to make the sandwiches?

What is a linear equation?

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Answer:

x value

Step-by-step explanation:

The function that possesses a period of 16 units, a midline at y=3, and a maximum at y=8 is f(x) = 5 sin(π/8 x) + 3

The sine function with a period of 16 units, a midline at y=3, and a maximum at y=8 can be written in the form:

y = A sin(Bx) + C

where A is the amplitude, B is the frequency (related to the period), and C is the vertical shift (related to the midline).

The frequency is related to the period by the formula: B = 2π/period.

So, in this case,

B = 2π/16 = π/8.

So, we have

y = A sin(π/8x) + C

Using the list of options as a guide the sine function that satisfies these conditions is f(x) = 5 sin(π/8 x) + 3

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The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.

It is calculated by using the formula for the volume of a sphere, which is \((4/3)\pi r^3\) , where r is the radius of the sphere.

The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface. The volume of a globe is important in a variety of fields, including mathematics, physics, and geography. It can be used to calculate the amount of material needed to create a globe, or to estimate the amount of water that can be held in a spherical tank. The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.  The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface.

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The complete question is :

Please explain Volume of Globe in English language.

Answer:

2

Step-by-step explanation:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.

Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.

If you need some equations, here is a way to set up a system to solve:

x+y= 9 rewrite to get a value for y to substitute:

y = 9-x

10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)

10x -x + y-10y = 81 combine like terms

9x - 9y = 81

Substitute for y and solve for x

9x - 9(9-x)= 81 distribute.

9x - 81 + 9x = 81

18x = 162. 162/18 = 9

x = 9

Substitute in the original equation to solve for y

9 + y = 9

y = 0

10(9) + 0 = 10(0) + 9 +81

90 - 81 = 09

The value of  Q(x) =   x² - 1  

R(x) = 4

What is Long Division?

Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.

By long Division method:

                        x² - 1            

                     _______________________________

         (3x - 4) | 3x³ - 4x² - 3x

                       3x³ - 4x²

                       _________________

                            0 - 0   - 3x      

                                       - 3x + 4  

                                ___________________

                                          0  + 4

Q(x) =   x² - 1  

R(x) = 4

Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1  ) + 4

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The probability it takes less than 15 minutes to reboot the system is 36.788%

To determine the probability, we need to find the parameters of the gamma distribution.

The mean of the gamma distribution is 20 minutes and the standard deviation is 10 minutes. This means that the shape parameter is

α= 20/10 = 2 and the scale parameter is β =1/10 = 0.1

The probability that it takes less than 15 minutes to reboot the system;

The probability that it takes less than 15 minutes to reboot the system is:

\(P(X < 15) = \Gamma(2, 0.1)\)

where Γ is the gamma function.

Evaluating this function;

The gamma function can be evaluated using a calculator or a computer. The value of the gamma function in this case is approximately 0.36788.

The probability that it takes less than 15 minutes to reboot the system is approximately 36.788%. This means that there is a 36.788% chance that the system will reboot in less than 15 minutes.

In other words, there is a 63.212% chance that the system will take more than 15 minutes to reboot.

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Answer:

2.15500

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

Answer:

steps below

Step-by-step explanation:

AB = DC, AE=DE, ∠BAE = ∠CDE = 90°

ΔBAE ≅ ΔCDE   (SAS)

BE = CE   .. corresponding sides of congruent triangles

∠EBC = ∠ECB  ... base angles of isosceles triangle

∠ABC = ∠ABE + ∠EBC = ∠DCE + ∠ECB = ∠DCB

∠ABC + ∠DCB = 360° - ∠CDE - ∠BAE = 360° - 180° = 180°

∠ABC = ∠ DCB = 1/2 * 180° = 90°

∴ ABCD is rectangle

Answer:

184300

Step-by-step explanation:

Answer:

184300

Step-by-step explanation:

the tens place is less than 5 so the hundreds place will stay the same

(when rounding all numbers after the one being rounded will turn to 0)

Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

The circle graph is used to show the preference of each customer

32 customers preferred bread

From the question, we have:

Bread = 47%

Total customers = 69

So, the number of customers that preferred bread is:

Bread = 47% * 69

Evaluate the product

Bread = 32.43

Approximate

Bread = 32

Hence, 32 customers preferred bread

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