Cîte numere de trei cifre se pot alcătui din cifrele 1, 2, 3, 4 încît:1) cifrele să nu se repete;2) cifrele să se repete.

Answer:

1:1 and 1:87

Step-by-step explanation:

The rate at which a point object revolves around a fixed origin is referred to as orbital angular velocity.

The speed of a point on its rim = 3150 cm / min.

angular velocity \(\omega\) = 7 rad/sec.

diameter = 15 cm ;

Radius = 7.5 cm.

The speed of a point on its rim = r \(\omega\) = 7.5 x 7 =52.5 cm/s =3150 cm / min

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The given statement "When the polarization of the EM wave has shifted so that it is not aligned with the receive antenna polarization, then full energy transfer will not occur between the RF wave and antenna." is True because  When the polarization of the EM wave and receive antenna are not aligned, full energy transfer will not occur due to the mismatch and some of the signal will be lost.

When the polarization of the EM wave and the receive antenna polarization are not aligned, there will be a decrease in energy transfer between the RF wave and the antenna.

This is due to polarization loss, which occurs when the wave is unable to fully couple with the antenna.

As a result, there may be a reduction in signal strength and quality. It is important to ensure that the polarization of the antenna is aligned with the incoming EM wave for optimal energy transfer.

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(a) To determine the mass of C, we need to use the stoichiometry of the chemical equation. The coefficients in the balanced equation indicate the molar ratios between the reactants and products.

Mass of A = 1.50 g

Mass of B = 1.65 g

From the equation, we can see that the ratio between A and C is 3:2. Therefore, for every 3 moles of A, we produce 2 moles of C.

1 mole of A has a molar mass of mA grams.

1 mole of B has a molar mass of mB grams.

1 mole of C has a molar mass of mC grams.

Using the molar masses of the elements involved, we can calculate the number of moles of A and B:

Moles of A = mass of A / mA

Moles of B = mass of B / mB

Since the ratio of A to C is 3:2, we can calculate the moles of C produced:

Moles of C = (2/3) * Moles of A

Finally, we can calculate the mass of C:

Mass of C = Moles of C * mC

(b) Similarly, to determine the mass of B, we use the stoichiometry of the chemical equation and the given information:

Given:

Mass of A = 1.50 g

Mass of C = 3.75 g

From the equation, we know that the ratio between A and C is 3:2. Therefore, for every 3 moles of A, we produce 2 moles of C.

Using the molar masses of the elements involved, we can calculate the number of moles of A:

Moles of A = mass of A / mA

Since the ratio of A to C is 3:2, we can calculate the moles of C produced:

Moles of C = mass of C / mC

Using the stoichiometry, we can determine the moles of B:

Moles of B = (2/3) * Moles of C

Finally, we can calculate the mass of B:

Mass of B = Moles of B * mB

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Answer:

3x + 3 = -2x + 13 doesn't

Step-by-step explanation:

2 ÷ 1= 2

Steps:

1- Divide

Answer:

the answer is b

Step-by-step explanation:

i took the test

There are 35 possibilities (probability) to choose the four individuals who will be interviewed out of the seven college students that have applied for internships at a local company.

The field of mathematics known as probability studies numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty. As an event's probability rises, so does the possibility that it will happen. An easy example is tossing a coin in a fair (unbiased) manner. Since the coin is fair and there are no other possible outcomes, the probability of either "heads" or "tails" is half, indicating that both possibilities are equally likely.

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Answer:

x=18

Step-by-step explanation:

Answer:

9 mins and 8 secs

Step-by-step explanation:

The weight of a single chocolate selected at random from the production line P(X > 22.07) is  0.0400.

Given:

X~ N(21.37, 0.16). X ~ N(μ, σ²) Mean (μ) = 21.37 Standard Deviation (σ) = √0.16 = 0.40

To Find: P(x > 22.07)

z = (x-μ)/σ z = (22.07-21.37)/0.40  = 1.75

Now, P(x > 22.07) = 1 - P(x < 22.07) = 1 - P(z < z) = 1 - P(z < 1.75)

By Using Standard Normal Table, = 1 - 0.9599 P(x > 43) = 0.0400

P(x > 22.07) = 0.0400

Therefore, the weight of a single chocolate selected at random from the production line, P(x > 22.07) is 0.0400.

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The ball thrown upwards follows a parabolic path

The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is \(h(t)=-16(t-1)^2+128\)

The equation is given as:

\(h(t)=-16t^2+32t+112\)

Factor out -16

\(h(t)=-16(t^2-2t)+112\)

Express the bracket as a perfect square expression

\(h(t)=-16(t^2-2t + 1 - 1)+112\)

Factor out -4

\(h(t)=-16(t^2-2t + 1)+112 + 16 * 1\)

\(h(t)=-16(t^2-2t + 1)+128\)

Express as a perfect square

\(h(t)=-16(t-1)^2+128\)

Hence, the equivalent expression is \(h(t)=-16(t-1)^2+128\)

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Answer:

$540 is the original price of the share.

Step-by-step explanation:

Original price = ​final price ÷ (1 - percentage (in decimal form))

Original price = $324 ÷ (1 - 0.40)

Original price = $324 ÷ 0.6

Original price = $540

Answer:

C. 2/x +1

Step-by-step explanation:

graph b matches the equation

The derivative of the given function using the Fundamental Theorem of Calculus, Part 1, is -2sinx * cosx.

In mathematics, the derivative of a function of a real variable measures the sensitivity to a change in the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

To find the derivative using the Fundamental Theorem of Calculus, Part 1, for the function \(d/dx(\int_{0}^{(sinx)} (1 - t^2) dt)\), proceed as follows:

1. Identify the function within the integral:

f(t) = 1 - t²
2. Take the derivative of the function with respect to t:

f'(t) = -2t
3. Replace the t variable with the upper limit of the integral, which is sinx:

f'(sinx) = -2sinx
4. Multiply the result by the derivative of the upper limit with respect to x:

d/dx(sinx) = cosx
5. Multiply the results from steps 3 and 4:

-2sinx * cosx

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Answer:

55% or 0.55 or 11/20

Step-by-step explanation:

probability the person chosen is an adult or child out of all

so 19+36/19+36+45

55/100

The probability that the selected person is not a teenager is \(\frac{11}{20}\).

Probability is a measure of happening or non happening of the outcomes of the random experiment.

P(E) = Total number favorable of outcomes/ Total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of adults in the audience = 19

Total number of teenagers in the audience = 45

Total number of children in the audience = 36

Total audience = 19 + 45 + 36 = 100

Now, the probability that the selected person is teenager = \(\frac{45}{100} = \frac{9}{20}\)

Therefore,

The probability that a selected person is not a teenager

= \(1 -\frac{9}{20}\)

= \(\frac{11}{20}\)

Hence, the probability that the selected person is not a teenager is \(\frac{11}{20}\).

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Answer:

it's answer is B. 9/100

Answer:

b.

Step-by-step explanation:

.

Answer:

B 112 ounces.....

nice to see you again

The constant proportionality is 15, which means that for every box of candy, there are 15 pieces of candy. The equation is 15x.

A variable in mathematics is a sign that denotes a value that may vary, as opposed to a constant, which is a set number that never changes. Variables are used to represent unknown or changing quantities, such as time (t) or the distance (d) travelled by an item, whereas constants are used to represent fixed numerical values, such as pi or the speed of light (c). In contrast to variables, which are often represented by lowercase letters, constants are typically represented by capital letters. In mathematical equations and formulae, the distinction between constants and variables establishes which values are fixed and which values are subject to change.

The slope of line is given as:

m = (change in y) / (change in x)

Substitute the values from the table:

m = (135 - 150) / (9 - 10) = -15/-1 = 15

For the equation to be of the form y = mx we have:

y = mx + b

150 = 15(10) + b

b = 0

Substituting the values the equation is:

y = 15x

Hence, the constant proportionality is 15, which means that for every box of candy, there are 15 pieces of candy. The equation is 15x.

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The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Answer:

The product is the difference of squares is \($$\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$$\)

Step-by-step explanation:

Explanation

\($$\begin{aligned}&(x y-9)(x y+9)=(x y)^{2}-(9)^{2} \\&(x y-9)(x y+9)=x^{2} y^{2}-81\end{aligned}$$\)

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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Answer:hello

Step-by-step explanation:

Answer:

Cos C = adjecent/hypotenuse

Cos C = 14/50

divide the numerator and the denominator by 2

Cos C = 7/25

The answer is C