Jill bikes 2/3 hour at 18 mph and then walks 2/5 hour at 5 mph. How much farther did she bike than walk?
PLSSSS HHHEEELLLLLPPPPPPPPP

If you draw all diagonals of a regular hexagon you have 5⋅6=30 possible triangles, but 5 of those are the same (the equilateral triangles) so we have 30−5=25 possible triangles.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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The expected number of times we see three consecutive tails in 12 coin flips is 5/4.

Let X be the random variable representing the number of times we see three consecutive tails in 12 coin flips.

We can break down X into 10 smaller random variables, where X(i) represents the number of times we see three consecutive tails starting at the ith flip.

Specifically, X(i) = 1 if the ith, (i+1)th, and (i+2)th flips are all tails, and 0 otherwise.

Then we have:

X = X(1) + X(2) + ... + X(10).

Using the linearity of expectation, we can find the expected value of X by summing the expected values of X(1), X(2), ..., X(10)

E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]

To find E[X(i)], we can use the fact that the probability of getting three consecutive tails in a row is \(1/2^3 = 1/8,\) and the probability of not getting three consecutive tails in a row is 1 - 1/8 = 7/8.

Thus, the probability distribution of X(i) is a Bernoulli distribution with parameter p = 1/8.

Therefore, we have:

E[X(i)] = 1 * P(X(i) = 1) + 0 * P(X(i) = 0)

= 1 * (1/8) + 0 * (7/8)

= 1/8.

Substituting this into our earlier formula, we get:

E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]

= 10 * (1/8)

= 5/4.

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The triangle will have the greatest area when ∠C = 90°. The triangle will have the greatest area when the angle opposite to the longest side is 90 degrees.

We need to find the maximum value of sin(C) so that the area of the triangle is maximum. In this case, the longest side is b=15, which is opposite to angle C. We are supposed to find the value of angle C such that the area of the triangle is maximum, given a=10 and

b=15.

In order to find the area of the triangle using the formula A = 1/2 * b * a * sin(C), where b and a are the lengths of two sides of the triangle and C is the angle between them.

So, the formula for the area of the triangle is

A(C) = 1/2 * b * a * sin(C)

A(C) = 1/2 * 15 * 10 * sin(C)

A(C) = 75sin(C)

Since -1 ≤ sin C ≤ 1, the maximum value of sin C is 1. This maximum value is attained when C = 90°.

Therefore, the triangle will have the greatest area when ∠C = 90°.

We know that the area of a triangle is given by the formula A = 1/2 * b * a * sin(C). We also know that the longest side of a triangle is opposite to the largest angle. Therefore, the triangle will have the greatest area when the angle opposite to the longest side is 90 degrees. Since the longest side of the triangle is b=15, which is opposite to angle C, we need to find the value of angle C such that the area of the triangle is maximum. Using the formula for the area of the triangle, we get A(C) = 1/2 * b * a * sin(C). We then need to find the maximum value of sin(C) so that the area of the triangle is maximum. Since -1 ≤ sin C ≤ 1, the maximum value of sin C is 1. This maximum value is attained when C = 90°.

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The feasible region will be the intersection of all the constraints.

The contour lines represent equal levels of profit, and the highest contour line corresponds to the maximum profit.

a. The LP model for this problem can be formulated as follows:

Let x be the number of acres planted with watermelons, and y be the number of acres planted with cantaloupes.

Objective function: Maximize profit

Maximize Z = 3(90x) + 1(300y) - (20x + 15y) - (2x + 2.5y)(5)

Subject to the following constraints:

1. Water constraint: 50x + 75y ≤ 6000 (gallons)

2. Fertilizer constraint: 20x + 15y ≤ total available fertilizer (pounds)

3. Labor constraint: 2x + 2.5y ≤ total available labor (hours)

4. Non-negativity constraint: x ≥ 0, y ≥ 0

b. The feasible region for this LP model can be visualized as a polygon in the xy-plane. The constraints form the boundaries of this region. The water constraint represents a line, the fertilizer constraint represents another line, and the labor constraint represents yet another line. The non-negativity constraints restrict the feasible region to the positive quadrant (x ≥ 0, y ≥ 0). The feasible region will be the intersection of all these constraints.

c. To find the optimal solution using level curves, we can plot the contours of the objective function Z on the feasible region. By identifying the highest contour value within the feasible region, we can determine the optimal solution. The contour lines represent equal levels of profit, and the highest contour line corresponds to the maximum profit.

By analyzing the level curves and identifying the highest contour line, we can determine the optimal values of x (acres of watermelons) and y (acres of cantaloupes) that maximize the profit. These values will provide the farmer with the ideal allocation of acres for each crop to maximize their overall profitability.

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Answer:

90 i think :)

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

By reasoning, we can say 50% of 200 is 100

We can say 10% of 200 is 20

We divide 20 by 2 to get 5%

20/2

= 10

Subtract 100 by 10

100 - 10

= 90

45% of 200 is 90

Answer:

I need a picture and more information to help :)

Step-by-step explanation:

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

\(D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]\)

The determinant of the matrix is:

\(|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)\)

\(|D | = \cos^2\theta + \sin^2\theta\)

Using trigonometry ratio, we have:

\(|D | = 1\)

(b)

\(\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 2 * 2 - 0 * 0\)

\(|D| = 4 - 0\)

\(|D| = 4\)

(c)

\(\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 0 * 0 -(-i * i)\)

\(|D| = 0 +i^2\)

\(|D| = i^2\)

In complex numbers

\(i^2 = -1\)

So:

\(|D| = -1\)

So, the order of the determinants is: c, a, b

There are many things happening on the streets and some of them are bad. There is a high likelihood that if you are on the streets you will see bad things happening.

Answer:

C ≈ 79.44 inches

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) ( using π ≈ 3.14 ) , then

C = 3.14 × 25.3 ≈ 79.44 inches ( to the nearest hundredth )

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

4 Liters

Step-by-step explanation:

Maria uses 8 flavor packets to make punch for a party. Each packet is mixed with 500 milliliters of water. How many liters of punch does Maria make?

Step 1

1 flavor packet = 500 ml

8 flavor packets = x ml

Cross Multiply

x ml = 8 × 500 ml

x ml = 4000 ml

Step 2

We convert from Milliliters to Liters

1 milliliters = 0.001 liter

4000 milliliters = x liter

Cross Multiply

x liters = 4000 milliliters × 0.001 liter/ 1 milliliters

x liters = 4 liters

Therefore, Maria can make 4 liters of punch

If you are buying 8 books, 2 of them will be $7. So there are 6 remaining books, which will cost $3.50 each. 6x$3.50=21 21+7=$28

28 dollars

Answer:

45,000

Step-by-step explanation:

You should divide 20 by 600 to see how many miles he would run per mile

and you take 30 x 1,500 to get your answer

Answer: 2x-5y

Step-by-step explanation:

The common term in this expression (GCF) is 5. When you take out the 5, you get 2x-5y. This is the answer.

:)

Answer:

The congruence is RHS since they are both right triangles

Step-by-step explanation:

Trip of 700 km required 70 liter  gasoline

For go 200 km Distance total gasoline required = 20 liter

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Total trip distance =700 km

Total gasoline required for  going 700 km = Total distance×Gasoline required for 1 km

 Total gasoline required for  going 700 km  = 700×0.01                                                          

                                                                         = 70 liters

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70 liters of gasoline will be used on a trip of 700 kilometers.

Given that,

200 kilometer is covered by 20 liters of gasoline.

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Now,

Let x be the liters of gasoline required for a 700-km trip.

            ⇒ 20/200 = x/700

            ⇒ (200) (x) = (20) (700)

            ⇒ 200x = 14,000

            ⇒ 200x/200 = 14,000/200

              or,  x = 70

Therefore, the answer is :

70 liters of gasoline will be needed for a 700 kilometer of trip.

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d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

y = 30

Step-by-step explanation:

Substitute x = 5 into the equation and solve for y

4(5) - y = - 10

20 - y = - 10 ( subtract 20 from both sides )

- y = - 30 ( multiply both sides by - 1 )

y = 30

Then (5, 30 ) is a solution of the equation

The z-transform of the signal v[n] = x[n] * x[n] is given by: V(z) = X(z)^2 = \frac{z^2}{(8z^2 - 2z - 1)^2}. The z-transform of the product of two signals is the product of the z-transforms of the individual signals.

In this case, the z-transform of x[n] is given by X(z). Therefore, the z-transform of v[n] = x[n] * x[n] is given by: V(z) = X(z)^2 = \frac{z^2}{(8z^2 - 2z - 1)^2}

The z-transform of a discrete-time signal is a mathematical function that represents the signal in the frequency domain. The z-transform can be used to analyze the properties of a signal, such as its frequency response and its stability. The product of two z-transforms is the z-transform of the product of the two signals. This can be shown using the following equation:

X(z) * Y(z) = \sum_{n=-\infty}^{\infty} x[n] z^{-n} * \sum_{n=-\infty}^{\infty} y[n] z^{-n} = \sum_{n=-\infty}^{\infty} (x[n] y[n]) z^{-n} = Z(z)

where Z(z) is the z-transform of the signal z[n] = x[n] * y[n].

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Answer:

None of the above.

Step-by-step explanation:

They are all prime numbers!

Answer:

check the explanation

Step-by-step explanation:

1. To find the sum of two integers with like signs simply add them and keep the sign same as integers

for example:

\(2 + 3 = 5 \\ - 2 + ( - 3) = - 5\)

2. To find the sum of the integers with unlike signs just subtract them and then keep the sign of the bigger integer.

For example:

\( - 3 + 5 = 2 \\ - 5 + 3 = - 2\)

The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.

Given,

The length of the small cube, a = 3.5 inch

The length of large cube = 2a = 2 × 3.5 = 7 inches

Now,

We have to find the volume of large cube

Volume;-

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Here,

Volume of cube = a³

Volume = 7³ = 343 cubic inches

That is,

The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.

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Given question is incomplete. The completed question is;

A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.

The depreciation rate when original the price of a leather sofa is £6500. If its value is £2203.09 after 6 years is £716.2 per year.

From the information, the original price of a leather sofa is £6500 and its value is £2203.09 after 6 years.

The depreciation will be:

= £6500 - £2203.09

= £4296.91

Depreciation rate will be

= Depreciation / Number of years

= £4296.91 / 6

= £716.2

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Based on the equivalent ratios shown in the graph, the number of steps which Jamila need to take 120ft is equal to 40 steps.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 6/2 = 12/4 = 24/8

Constant of proportionality (k) = 3.

When the distance walked, y = 120 ft, the number of steps taken, x is given by:

Number of steps taken, x = y/k

Number of steps taken, x = 120/3

Number of steps taken, x = 40 steps.

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a.) The mode for the chart is 24.

b.) The probability that the winning score will be 25 = 7/50

C.)The probability that the winning score will be 23 or more = 37/50.

The number of times the game is played = 50 times

The number of games that showed the score of 25= 7

The probability of winning a score of 25 = 7/50

The scores that are 23 and above; 10+14+7+4+2= 37

The probability of winning a score of 23 and above = 37/50

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