On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F. The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday. What was the high temperature on Tuesday?

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

x = 9

Step-by-step explanation:

30 = 2(x +6)

30 = 2x +12

Subtract 12 from both sides.

18 = 2x

divide both sides by 2.

9 = x

First, we can simplify the equation by dividing both sides by 2:

30/2 = x + 6

This gives us:

15 = x + 6

Now we can solve for x by subtracting 6 from both sides:

15 - 6 = x

Therefore, the solution is:

x = 9.

Answer: 38.5 minutes, aka 38 minutes and 30 seconds, round up, unless ur teacher wants the exact time.

Answer:

38.5 minutes or if rounded up it would be 39 minutes.

Step-by-step explanation:

22 divided by 4 bags would get you 5.5. This means it would take you 5.5 minutes to rake 1 bag. Since, they already raked 4 bags that would be 22 minutes, plus the other 3 bags it would be, 5.5 x 3 = 16.5 minutes. Add it together and you get 22 minutes + 16.5 minutes = 38.5 minutes to rake 7 bags. Hope this helped!

Answer: -49.25 feet below sea level

Explanation: 30.75 - 30.75 - 18.5 = -49.5

Hope this helps!

Answer:

7 2/5 miles

Step-by-step explanation:

6/10 + 6 8/10 = 6 14/10 = 7 4/10 = 7 2/5 miles

The total combination of 3-coin is 4 if there are a total number of coins is 4 option third is correct.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Number of coin need to select = 3

Total number of coins = 4 (pennies, nickels, dimes, and quarters)

We can apply the combination formula to find the number of combination:

Total number of combination = C(4, 3)

\(= \dfrac{4!}{(4-3)!3!}\)

= 4

Thus, the total combination of 3-coin is 4 if there are a total number of coins is 4 option third is correct.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

Step-by-step explanation:

Let A= probability it rains

P(A)=0.2

Let B be the probability that the train is late = 0.05

P(B)=0.05

A and B  is A∩B= the probability it rains and the bus is late =0.01

probability pf (A and B)=0.01

7) independent events are related by expression:

A∩B=P(A)*P(B)

       =0.2*0.05=0.01  

check :

p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2

the two event are independent

Answer:

The two are independent.

Step-by-step explanation:

Answer:

It would be trippy and kind of like a elusion

Step-by-step explanation:

yeah

Answer:

A false awakening is a phenomenon that can happen to anyone. Sometimes it can be a dream within a dream, or maybe a dream within a dream within a dream, like a Russian nesting doll. Similar to lucid dreaming and sleep paralysis, false awakenings are considered one of the hybrid states between sleep and wakefulness.

Step-by-step explanation:

A false awakening is a phenomenon that can happen to anyone. Sometimes it can be a dream within a dream, or maybe a dream within a dream within a dream, like a Russian nesting doll. Similar to lucid dreaming and sleep paralysis, false awakenings are considered one of the hybrid states between sleep and wakefulness.

Answer:

see below

Step-by-step explanation:

The age is not a proportional relationship because it does not go through the point (0,0)

The hours is a proportional relationship.  It goes through the point (0,) and has a constant slope

Answer:

3. NO

4. YES

Step-by-step explanation:

A proportional relation is of the form:

y = kx

Note that the y-intercept has to be 0, and slope should be constant

First one (Height against age) is not proportional because the intercept is 30, not 0

Second one (Time against distance) is proportional because the slope is constant and the y-intercept is 0

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The angles 2 and 3 are corresponding angles. So it's choice C.

Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Answer:

The least number of packages of balloons he can buy in order to have one balloon per person is 8.

Step-by-step explanation:

;)

assume the point (10,20) belongs to the graph of f of x what point belongs to the graph of y equals f (x )minus 5 ​

In this problem we have a transformation with the dollowing rule

(x,y) ------> (x,y-5)

so

(10,20) --------> (10, 20-5)

(10,20) --------> (10, 15)

therefore

The answer is

(10, 15)

Answer: 2

Step-by-step explanation: i used my brain

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer: The awnser would be D

\( \frac{12}{1} = \frac{96}{x} \)

\( 12x = 96\)

\(x = \bold{8liter}\)

This problem is a simple matter of subtraction.
We know our starting balance, which is 20. If we are buying something with our money, we are subtracting the amount we spend from the amount we have. If we're buying a DVD that costs 32 dollars, we subtract 32 from our starting balance, which is 20.

20 - 32 = -12

So, your account balance after you buy the DVD is -12. This means you are twelve dollars in debt.

Answer:

9.33

Step-by-step explanation:

Find the diagram attached, to get the length of RT, we will use the pythagoras theorem as shown:

Hyp² = opp²+adj²

Hyp = 11

Adj = 6

Opposite = RT

Substitute into the formula

11² = opp²+6²

Opp² = 11²-6²

Opp² = 121-36

Opp² = 85

Opp = 9.22

Hence the measurel RT to nearest hundredth is 9.22

Answer:

Each of them will have 0.8 kg of the Halloween candy. In a fraction form that would be 4/5.

Step-by-step explanation:

Using proportions, it is found that they had traveled 624 miles when Christopher fell asleep.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, Christopher fell asleep at a distance that is 65% of 960 miles, hence the distance they had traveled is given by:

D = 0.65 x 960 miles = 624 miles.

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Answer:

\(6(a - 2) = 6a - 12\)

For the given conditions convention B attendance is decreasing at a greater rate.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the number of people attending convention A can be modeled by the function as,

f(x) = 1200 • 0.95ˣ

where x is the number of years that the convention has been occurring.

The number of people attending convention A in year 1,

f(x) = 1200 × 0.95¹

f(x) = 1140

The number of people attending convention A in year 2,

f(x) = 1200 × 0.95²

f(x) = 1083

The number of people decreasing in the Convention A,

=1140 - 1083

=57

If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,

=2200-2100

=100

Thus, for the given conditions convention B attendance is decreasing at a greater rate.

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Answer:

X = -2, Y = 13

X = 0, Y = 9

X = 2, Y = 5

X = 4, Y = 1

Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

Simplify it:

y = 8 + 9

y = 17

Repeat this process with the rest of the X values to get your Y values.

a) To design the combinational circuit for the given Boolean functions F1, F2, and F3,

we can use a decoder and external gates. The decoder will help in generating the minterms for each function, and then we can use external gates to implement the logic.

1. Decoder:

  We need a 3-to-8 decoder because there are three variables (x, y, z). The decoder will have three inputs (x, y, z) and eight outputs representing the minterms.

2. Minterm Expressions:

  For F1:

  Minterm 1: x'yz'

  Minterm 3: xz

  Output of decoder corresponding to Minterm 1 and Minterm 3 will be used.

  For F2:

  Minterm 2: xy'z'

  Minterm 5: x'y

  Output of decoder corresponding to Minterm 2 and Minterm 5 will be used.

  For F3:

  Minterm 0: x'y'z'

  Minterm 4: xy

  Output of decoder formula corresponding to Minterm 0 and Minterm 4 will be used.

3. Logic Gates:

  We will use OR gates to combine the outputs of the decoder corresponding to the minterms.

  For F1:

  F1 = x'yz' + xz

  Connect the output of decoder for Minterm 1 (x'yz') to one input of an OR gate.

  Connect the output of decoder for Minterm 3 (xz) to the other input of the same OR gate.

  For F2:

  F2 = xy'z' + x'y

  Connect the output of decoder for Minterm 2 (xy'z') to one input of an OR gate.

  Connect the output of decoder for Minterm 5 (x'y) to the other input of the same OR gate.

  For F3:

  F3 = x'y'z' + xy

  Connect the output of decoder for Minterm 0 (x'y'z') to one input of an OR gate.

  Connect the output of decoder for Minterm 4 (xy) to the other input of the same OR gate.

  The outputs of the three OR gates will give the final outputs F1, F2, and F3.

b) The same process can be followed for the second set of Boolean functions F1, F2, and F3, using the minterm expressions and decoder. The outputs of the decoder will be connected to OR gates based on the minterm expressions of each function.

Note: The specific connections and gate configurations may vary depending on the available decoder and gate types.

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Answer:

Rs 19.20

Step-by-step explanation:

Buying price = Rs 20

Profit = 20% = 0.20 × 20 = Rs 4

Selling price = buying price + profit = Rs 20 + Rs 4 = Rs 24

He wants to make a 25% profit.

Let's say he should buy the pen at Rs 'a' in order to make that amount of profit.

∴ a + \(\frac{25}{100} a\) = 24

1.25a = 24

a = \(\frac{24}{1.25} = 19.20\)

So he should buy the pen at Rs 19.20

the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Since there are 9 pairs of boots in the pile, we can determine that each pair has two boots. If at most one boot is chosen from each pair, the maximum number of boots chosen would be 18.

To guarantee that a matched pair of boots is chosen, we must pick at least two boots from the pile, one from each boot of the same pair. Therefore, the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Number of pairs of boots in the pile = 9

Number of boots in each pair = 2

Maximum number of boots that can be chosen = 9 x 2 = 18

Minimum number of boots required to guarantee a matched pair = 2

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Considering it's critical points, it is found that the least possible degree of the polynomial graphed above is of 4.

The critical points of a function are the values of x for which:

\(f^{\prime}(x) = 0\)

In a graph, they are the turning points, and if a function has n critical points, the least possible degree is of n + 1.

In this problem, the function has 3 turning points, at x = -3, between x = -3 and x = 3, and at x = 3, hence the least possible degree of the polynomial graphed above is of 4.

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