Mitchell’s neighborhood was having a contest to see who could grow the most peppers. Deer lived close by, and they loved peppers. In one week, the deer ate ସ ହ of the peppers from 7 of the yards. How much of the peppers did they eat in total?

Answer:

The cost of the chocolate bar is $0.54. You can calculate this by subtracting the total cost of the peanut butter bars ($3.50) from the total cost of the 5 peanut butter bars and 6 chocolate bars ($6.40), resulting in $2.90 for the cost of the chocolate bars, which is then divided by 6 to get $0.54.

Therefore, the answer is none of the options, option D must be true. The function of the chart given above does not have a local minimum or a local maximum at x=-2.

To elaborate more on this, we need to analyze the graph properly. A local maximum of a function occurs at a point where it changes from increasing to decreasing.  a local minimum of a function occurs at a point where it changes from decreasing to increasing. The chart given above represents a cubic function. The cubic function is a polynomial function of degree three.

This implies that the function has one hump or one valley. Hence, the function does not have a local minimum or a local maximum at x=-2. It passes through this point, and it is neither increasing nor decreasing. Moreover, the function is neither concave up nor concave down at this point. Concavity of a function changes at the point of inflection. It is a point where the curve of the graph changes from concave up to concave down or vice versa.

The point of inflection is located at x=0 for the function given in the chart, where the graph changes from concave up to concave down.

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The correct answer is row number 16 since the sum is 65536 in

pascal's triangle which equals to the 2 power of 16 , that is 4th option.

Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. This triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. In any row of Pascal's triangle, the sum of the first, third, fifth, … numbers is equal to the sum of the second, fourth, sixth numbers.

(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.

We know that , 2^16 = 65536

Therefore, the numbers come from the row number.16

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Answer:

circle,

Step-by-step explanation:

disc in the middle vertically in this case is equal to the bases

The intersection is called an Oval. Hence the correct option is A. An oval in mathematics is a shape just like a circle but with an elongated outline like the shape of an egg.

A cross-section is a surface, an area that is created or exposed by executing a straight cut across or through a shape.

Cross-sections in technical drawings are used for depicting the internal view of an object that is three-dimensional.

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The function that is graphed is f(x) = |x - 3| + 1

The parent absolute function is:

f(x) = |x|

From the graph, we have the following transformations:

This is represented as:

(x, y) = (x - 3, y + 1)

So, we have:

f(x) = |x - 3| + 1

Hence, the function that is graphed is f(x) = |x - 3| + 1

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

y=-3x+10

Step-by-step explanation:

Answer:

there is no picture

Step-by-step explanation:

Answer:

there no pick repost and ill tell

Step-by-step explanation:

Answer:

36 minutes

Step-by-step explanation:

thank me later

Answer: I will give you the answer in fraction form and in decimal form. Here is 1/6 divided by 12... Answer: 1/72

Step-by-step explanation:

Answer:

A) 130°

Step-by-step explanation:

\( m\angle EMN = m\angle LMN - m\angle LME\\

m\angle EMN = 170\degree - 40\degree \\

\huge \orange {\boxed {m\angle EMN = 130\degree}} \\\)

The evaluation of both sides of Stokes' theorem for the given field and rectangular path yields a result of 72 a.

To apply Stokes' theorem, we need to find the curl of the vector field H and then evaluate the line integral around the boundary of the rectangular region in the xy-plane.

First, let's calculate the curl of the vector field H:

curl(H) = (∂Hz/∂y - ∂Hy/∂z)ax + (∂Hx/∂z - ∂Hz/∂x)ay + (∂Hy/∂x - ∂Hx/∂y)az

= 0ax + 0ay + (6x + 6y)az

Therefore, the curl of H is (6x + 6y)az.

Now, let's evaluate the line integral around the boundary of the rectangular region in the xy-plane.

The boundary consists of four line segments:

The line segment from (2, -1, 0) to (5, -1, 0) with positive direction along the x-axis.

The line segment from (5, -1, 0) to (5, 1, 0) with positive direction along the y-axis.

The line segment from (5, 1, 0) to (2, 1, 0) with negative direction along the x-axis.

The line segment from (2, 1, 0) to (2, -1, 0) with negative direction along the y-axis.

Since the positive direction of ds is az, we need to take the cross product of ds with az to get the tangent vector T to the curve. Since ds = dxax + dyay and az = 1az, we have:

T = ds x az = -dyax + dxay

Now, let's evaluate the line integral along each segment:

The line integral along the first segment is:

∫(2,-1,0)^(5,-1,0) H · T ds

= ∫2^5 (6xy)(-1) dx

= -45

The line integral along the second segment is:

∫(5,-1,0)^(5,1,0) H · T ds

= ∫(-1)^1 (-3y^2)(1) dy

= -4

The line integral along the third segment is:

∫(5,1,0)^(2,1,0) H · T ds

= ∫5^2 (6xy)(1) dx

= 81

The line integral along the fourth segment is:

∫(2,1,0)^(2,-1,0) H · T ds

= ∫1^-1 (-3)(-dx)

= 6

Therefore, the total line integral around the boundary is:

∫C H · T ds = -45 - 4 + 81 + 6 = 38

According to Stokes' theorem, the line integral of H around the boundary of the rectangular region is equal to the surface integral of the curl of H over the region:

∬S curl(H) · dS = 38

Since the region is a rectangle in the xy-plane with z = 0, the surface integral simplifies to:

∫2^5 ∫(-1)^1 (6x + 6y) dy dx

= ∫2^5 (12x + 12) dx

= 114

Therefore, we have:

∬S curl(H) · dS = 114

This contradicts the result from applying Stokes' theorem, so there must be an error in our calculations.

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The surface integral of the curl of H over the rectangular region is 0.

Stokes' theorem relates the surface integral of the curl of a vector field over a surface to the line integral of the vector field around the boundary of the surface. Mathematically, it can be written as:

∫∫(curl H) ⋅ dS = ∫(H ⋅ ds)

where H is the vector field, S is a surface bounded by a curve C with unit normal vector n, and ds and dS represent infinitesimal line and surface elements, respectively.

Given the vector field H = 6xyax − 3y^2ay a/m, we first need to calculate its curl:

curl H = ( ∂Hz/∂y − ∂Hy/∂z ) ax + ( ∂Hx/∂z − ∂Hz/∂x ) ay + ( ∂Hy/∂x − ∂Hx/∂y ) az

= 0 ax + 0 ay + ( 6x − (-6x) ) az

= 12x az

Next, we need to find the boundary curve of the rectangular region given by 2 ≤ x ≤ 5, −1 ≤ y ≤ 1, z = 0. The boundary curve consists of four line segments:

Let's calculate the line integral of H along each of these segments. We will take the positive direction of ds to be in the direction of the positive z-axis, which means that for the first and third segments, ds = dxax, and for the second and fourth segments, ds = dyay.

Along the first segment, we have x ranging from 2 to 5 and y = -1, so:

∫(H ⋅ ds) = ∫2^5 (6xy ax − 3y^2 ay) ⋅ dx az = ∫2^5 (-6x) dx az = -45 az

Along the second segment, we have y ranging from -1 to 1 and x = 5, so:

∫(H ⋅ ds) = ∫-1^1 (6xy ax − 3y^2 ay) ⋅ dy ay = 0

Along the third segment, we have x ranging from 5 to 2 and y = 1, so:

∫(H ⋅ ds) = ∫5^2 (6xy ax − 3y^2 ay) ⋅ (-dx) az = ∫2^5 (6x) dx az = 45 az

Along the fourth segment, we have y ranging from 1 to -1 and x = 2, so:

∫(H ⋅ ds) = ∫1^-1 (6xy ax − 3y^2 ay) ⋅ (-dy) ay = 0

Therefore, the line integral of H around the boundary curve is given by:

∫(H ⋅ ds) = -45 az + 45 az = 0

Finally, using Stokes' theorem, we can evaluate the surface integral of the curl of H over the rectangular region:

∫∫(curl H) ⋅ dS = ∫(H ⋅ ds) = 0

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Answer:

x-4/3

Step-by-step explanation:

the unknown number is the number they think of, you can't read their mind. but you know you have to subtract by 4 and divide by 3.

Answer:

40 miles , 1 hour 30 mins

Step-by-step explanation:

(a)

His visit to Nicola is indicted by the horizontal part of the graph.

Using the vertical ( distance ) axis , this shows 40 miles

(b)

Using the horizontal ( time ) axis

The left side of the horizontal red line shows 10.00

The right side shows 11.30

Then 11.30 - 10.00 = 1 hour 30 minutes

A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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You can use the fact that number of breads purchased cannot be negative since a customer either buys them or not and usually do not sell to the shopkeeper.(if somehow they end up selling to shop owner, then yes that will go in negative, but we'll assume it is wrong in most cases as generally shop owners are there to sell stuffs).

The third table of values matches the equation and includes only viable solutions.

It is talking about those solutions which are seen in real world. As stated above, a customer either buys the bread or not, thus number of breads sold will be either positive or 0(in case of no selling). Thus, we cannot have number of breads as negative.

Such solutions which are correct in the real world context here are called here as viable solutions.

For first table, the number of breads are in negative, thus it is not going to have viable solution.

For second table, we have:

b = 0 thus c = 3.5b = 3.5 times 0 = 0 which is correctly given in second column.

b = 0.5, thus c = 3.5b = 3.5 times 0.5 =1.75 which is correctly given.

b = 1, thus c= 3.5 times 1 = 3.5 which is correctly given

b = 2001.5 thus c = 3.5 times 2001.5  = 7005.25 which is not correctly given, thus wrong.

For third table, we have:

b = 0, thus \(c = 3.5 \times 0 = 0\), correctly given in second column.

b = 3, thus \(c = 3.5 \times 3 = 10.5\), correctly given.

b = 6, thus \(c = 3.5 \times 6 = 21\), correctly given.

b = 9, thus \(c = 3.5 \times 9 = 31.5\), correctly given.

Thus, the third table of values matches the equation and includes only viable solutions.

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Answer:

its c to be exact

Step-by-step explanation:

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

For explanation, please refer the attachment

I hope you are doing well in maths

Good luck

Answer:   3/2  or 1.5

Step-by-step explanation:

5x-2/4=7

5•x-2/4=7

20x = 30

x = 3/ 2

= 1.5

Answer:

  V = 11 +3j volts

Step-by-step explanation:

You want the voltage in a circuit with current (3 -j) and impedance (3 +2j).

The voltage is the product of current and impedance.

  V = (3 -j)(3 +2j) = 3(3 +2j) -j(3 +2j)

  = 9 +6j -3j -2j² = 9 -2(-1) +(6 -3)j

  = 11 +3j

The voltage is V = 11 +3j.

__

Additional comment

In electronics, the letter j is used in place of the letter i to mean √(-1). This is because i means something else. (Here, i is used for "impedance." It is conventionally used for "current.")

The multiplication is carried out as though the values were polynomials. In the end, j² is replaced by -1.

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a.) Suppose you have 500 feet of fencing to enclose a rectangular plot of land that borders on a river. If you do not fence the side along the river, then the length of the plot would be equal to that of the river. Suppose the length of the rectangular plot is x and the width is y.

So, the fencing required would be 2x + y = 500. y = 500 − 2x. The area of the rectangular plot would be xy.

Substitute y = 500 − 2x into the equation for the area.

A = x(500 − 2x) = 500x − 2x²

Now, differentiate the above equation with respect to x.

A = 500x − 2x²

dA/dx = 500 − 4x

Set dA/dx = 0 to get the value of x.500 − 4x = 0or, 500 = 4x

So, x = 125

Substitute x = 125 into y = 500 − 2x to get the value of y.y = 500 − 2x = 250 ft

The maximum area is A = xy = 125 × 250 = 31,250 sq. ft.

b.) Let the length and width of the rectangular playground be L and W respectively. Then, the perimeter of the playground is L + 3W. Given that 900 feet of fencing is used, we have:

L + 3W = 900 => L = 900 − 3W

Area = A = LW = (900 − 3W)W = 900W − 3W²

dA/dW = 900 − 6W = 0W = 150

Substitute the value of W into L = 900 − 3W to get:

L = 900 − 3(150) = 450 feet

So, the dimensions of the playground that will maximize the enclosed area are L = 450 feet, W = 150 feet. The maximum area is A = LW = 450 × 150 = 67,500 square feet.c.)

Let x be the number of $1 increments. Then the rental rate would be $25 + x and the number of cars rented would be 62 − 2x. Hence, the revenue would be (25 + x)(62 − 2x) = 1550 − 38x − 2x²

Differentiating with respect to x, we get dR/dx = −38 − 4x = 0or, x = −9.5. This value of x is not meaningful as rental rates cannot be negative. Thus, the rental amount that will maximize the agency's daily revenue is $25. The maximum daily revenue is R = (25)(62) = $1550.

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According to the information we can conclude that the maximum area for the plot is 15,625 square feet (part a). Additionally, the maximum area for the playground is 50,625 square feet (part b). Finally the maximum daily revenue is $975 (part c).

To find the dimensions that maximize the area, we can use the formula for the area of a rectangle:

We are given that the total length of fencing available is 500 feet, and since we are not fencing the side along the river, the perimeter of the rectangle is

Solving for L, we have

Substituting this into the area formula, we get

To find the maximum area, we can take the derivative of A with respect to w, set it equal to zero, and solve for w. The resulting width is 125 feet, and the length is also 125 feet. The maximum area is found by substituting these values into the area formula, giving us

Similar to the previous problem, we can use the formula for the area of a rectangle to solve this. Let the width of the playground be w, and the length be L. We have

As we are dividing the playground into two parts with a fence parallel to its width. Solving for L, we get

Substituting this into the area formula, we have

To find the maximum area, we can take the derivative of A with respect to w, set it equal to zero, and solve for w. The resulting width is 225 feet, and the length is also 225 feet. The maximum area is found by substituting these values into the area formula, giving us

Let x be the rental rate in dollars. The number of cars rented can be expressed as

Since for each $1 increase in rate, two fewer cars are rented. The daily revenue is given by the product of the rental rate and the number of cars rented:

To find the rental amount that maximizes revenue, we can take the derivative of R with respect to x, set it equal to zero, and solve for x. The resulting rental rate is $22. Substituting this into the revenue formula, we find the maximum daily revenue to be

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Answer:

140

Step-by-step explanation:

1 and 3 are vertical angles meaning they are equal. 4 and 3 make a straight angle. A straight angle is 180.

180-140=40

2 and 4 are straight angles so should be equal.

1=140

2=40

3=140

4=40

Answer:

Congruent Supplements Theorem : If two angles are supplements of the same angles (or of congruent angles), then the two angles are congruent.

Answer: 97.5m

Step-by-step explanation:

Answer:

The correct answer is - Ben is 8.

Since Ben is 4 times older than Ishaan, but also we know the fact that Ben is 6 years older than Ishaan, that leaves us with only one number as the possible solution, the number 8.

In order to get to the result we should find a number that multiplied by four and summed up with six, gives the same result.

4 x 2 = 8

2 + 6 = 8

Knowing now that the age of Ben is 8, we can also conclude that the number used for multiplying and summing, 2, is the number that represents the age of Ishaan.

Step-by-step explanation:

To find the rate at which the diameter of the circle is changing, we'll first need to determine the relationship between the area of the circular ripple and its radius.

The area of a circle is given by the formula A = πr². In this problem, the area is increasing at a constant rate of 5 m²/second (dA/dt = 5).

Now, we'll use implicit differentiation with respect to time (t) to find the rate of change of the radius:

dA/dt = d(πr²)/dt

5 = 2πr(dr/dt)

Since we're interested in the rate of change of the diameter (D) when the radius (r) is 4 m, and D = 2r, we'll differentiate D with respect to time:

dD/dt = 2(dr/dt)

Now, we can solve for (dr/dt) when r = 4:

5 = 2π(4)(dr/dt)

5/(8π) = dr/dt

Finally, we find dD/dt:

dD/dt = 2(5/(8π))

dD/dt = 5/(4π)

So, when the radius of the circular ripple in the pond is 4 m, the diameter is changing at a rate of 5/(4π) meters per second.

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The probability that three cards chosen at random from a standard 52-card deck that are not all the same color is 3/4.

Total number of combinations of three cards: There are 52 choose 3 = 22,100 ways to choose three cards from a standard deck of 52 cards.

Number of combinations that are not all the same color: There are two possibilities for the colors of the three cards:

a. Two red cards and one black card: There are 26 choose 2 ways to choose two red cards and 26 choose 1 ways to choose one black card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.

b. Two black cards and one red card: There are 26 choose 2 ways to choose two black cards and 26 choose 1 ways to choose one red card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.

The total number of combinations that are not all the same color is 8,450 + 8,450 = 16,900.

The probability that three cards chosen at random are not all the same color is:

P(not all the same color) = (number of combinations that are not all the same color) / (total number of combinations of three cards) = 16,900 / 22,100 = 3/4.

Therefore, the probability that three cards chosen at random from a standard 52-card deck are not all the same color is 3/4.

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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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72 millimeters is equal to 2.83 inches.

Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.

Here's how you convert 72 millimeters to inches:

1 inch = 25.4 millimeters

So, to convert 72 millimeters to inches, we divide by the conversion factor:

72 mm / 25.4 mm/in = 2.83 in

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The expression (4x+8)² is equivalent to 16x²+64x+64 i.e.D.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is (4x+8)²

=(4x)²+8²+2*4x*8         As ((a+b)²=a²+b²+2ab)

=16x²+64+64x

hence,

          (4x+8)² is equivalent to 16x²+64x+64.

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Answer: 3n+2

Step-by-step explanation: