A card is drawn from a standard deck of playing cards and is not replaced. Then a second card is drawn. Find the probability the first
card is a jack of spades and the second card is black. Express your answer as a fraction in simplest form.

Answer:

She would make $\($580\) in one work week.

Step-by-step explanation:

First, we need an equation.

345 + c = y

c stands for the commission.

y stands for the total amount of money made

So let's find out what the commission is:

5% of 4,700 = 235

c = 235

So, 345 + 235 = \(580\)

y = \(580\)

Answer:

580$

Step-by-step explanation:

First you have to do the 5% of 4700 because she earns the weekly salary (345) plus the 5% of the things that she sale.

(4700 · 5)/100 = 235

Then you have to add 235 plus the weekly salary

235 + 345 = 580

Answer:

ED = 6√3 cm

Step-by-step explanation:

This is a 30-60-90 triangle. Remember the rules. Hypotenuse is always 2x. Leg across from 60° is x√3. Leg across from 30° is x.

12 = 2x

x = 6

ED = x√3

ED = 6√3

This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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Answer:

0.125

Step-by-step explanation:

25 percent means one fourth. To calculate 25 percent of a number, simply divide it by 4. For example, 25 percent of 12 is 12 divided by 4, or 3.

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

In 12 days the stock will be worth $ 76.55.

Step-by-step explanation:

Given that a certain stock opens with a price of $ 0.59, and over the first three days the stock value increases at an average rate of 50% per day, to determine, if this trend continues, how much will the stock be worth in 12 days the following calculation must be performed:

Initial value x rate of increase ^ number of years = X

0.59 x 1.5 ^ 12 = X

0.59 x 129.74 = X

76.55 = X

Therefore, in 12 days the stock will be worth $ 76.55.

The equation shows that for any y ∈ B, there exists an element g(y) ∈ A such that f(g(y)) = y. Therefore, f is surjective. In conclusion, we have proven that if f ◦ g = idB, then g is injective and f is surjective.

To prove that g is injective and f is surjective given that f ◦ g = idB, we will start by proving the injectivity of g and then move on to proving the surjectivity of f.

Injectivity of g:

Let \(x_1, x_2\)  ∈ B such that \(g(x_1) = g(x_2)\). We need to show that \(x_1 = x_2.\)

Since f ◦ g = idB, we know that (f ◦ g)(x) = idB(x) for all x ∈ B. Substituting g(x₁) and g(x₂) into the equation and g(x₁) = g(x₂), we can rewrite the equations as:

f(g(x₁)) = idB(g(x₁)) and f(g(x₁)) = idB(g(x₂))

Since f(g(x₁)) = f(g(x₂)), and f is a function, it follows that g(x₁) = g(x₂) implies x1 = x2. Therefore, g is injective.

Surjectivity of f:

To prove that f is surjective, we need to show that for every y ∈ B, there exists an x ∈ A such that f(x) = y.

Since f ◦ g = idB, for every y ∈ B, we have (f ◦ g)(y) = idB(y). Substituting g(y) into the equation, we get:

f(g(y)) = y

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Answer:

4....20. 12 is halfway

Step-by-step explanation:

5 19

6 18

7 17

8 16

9 15

10 14

11 13

12

Answer:

No, 15/21 and 40/56 do not form a proportion.

Step-by-step explanation:

The answer is  Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.

From the diagram we have

Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.

The parallel line does not intersect each other

The other yes choice does not properly show corresponding segments

So, actually makes a false claim.

It is not true that 16/10 = 15/24.

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Answer: Yes,  16/10 equals 24/15

Step-by-step explanation: bc im cool like that

Answer:

0.29, 29%

Step-by-step explanation:

By using the concept of cryptography, it can be concluded that

A solution that is now widely used to allow two parties to secretly exchange keys is Deffie - Hellman protocol

What is cryptography?

Cryptography refers to secure information and communication techniques derived from mathematical concepts and a set of rule-based calculations called algorithms, to transform messages in ways that are hard to decipher.

This is a concept of Cryptography

Diffie–Hellman key exchange establishes a shared secret between two parties which will be used for secret communication for exchanging data over a public network.

A solution that is now widely used to allow two parties to secretly exchange keys is Diffie - Hellman protocol

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The measure of the angles in the parallelogram are 144 and 36 degrees.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle.

Angles in a parallelogram

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

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In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

C.

Step-by-step explanation:

I learned this years ago, but I think it's answer C. Because the others (curved lines) would be classified as Non-linear.

*(( I sincerely apologise if this turns out to be the wrong answer. Lol))

Answer:

C

Step-by-step explanation:

When you see the word "linear," think "line."  Only one of the four given graphs is a straight line:  C

Answer:

4

Step-by-step explanation:

The equation is 2(10+x)=28 where x is the unknown number we are trying to find. Use distrubutive property to combine like terms. 2 times 10 is 20 and 2 times x is 2x. Now we have 20+2x = 28. What you do to one side you must do to the other. 20 minus 20 is 0. 28 minus 20 is 8. Now our equation is 2x is 8. To find 1 x we divided in half. 8/2 is 4 therefore the missing variable is 4.

The difference between 141.2 and 79.83 is as follows:141.2 - 79.83 = 61.37The sum of 141.2 and 79.83 is:141.2 + 79.83 = 221.03The product of 141.2 and 79.83 is:141.2 × 79.83 = 11250.996 The quotient when 141.2 is divided by 79.83 is:141.2 ÷ 79.83 = 1.7696655174 (approx. 1.77)

Thus, the sum of 141.2 and 79.83 is 221.03. The difference between 141.2 and 79.83 is 61.37. The product of 141.2 and 79.83 is 11250.996. The quotient when 141.2 is divided by 79.83 is approximately 1.77.Thus, the solution can be summarized as follows: Given the two numbers 141.2 and 79.83, we are to find their sum, difference, product, and quotient.

After performing the necessary arithmetic operations, we get that their sum is 221.03, their difference is 61.37, their product is 11250.996, and their quotient is approximately 1.77.

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Answer:

2/15

Step-by-step explanation:

Answer:

49.5 minutes

Step-by-step explanation:

Amount of time that Philip took

= \(\frac{distance}{speed}\)

= \(\frac{66km}{80km/h}\)

= \(0.825h\)

= \(49.5 min\)

The linear equation that represents the number of gift sets needed to hold 124 ounces is x + 16y = 124. Then the correct option is 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A manufacturing plant produces two different-sized containers of peanuts.

One container weighs x ounces and the other weighs y pounds.

If a gift set can hold one of each size container.

Then the equation represents the number of gift sets needed to hold 124 ounces

We know that the conversion of the pound to the ounce will be

1 pound = 16 ounces

y pound = 16y ounces

Then we have

x + 16y = 124

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For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer: The measurement of ∠EFG is equal to 70°.

Step-by-step explanation:

Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:

(6x - 10) + 38 = 7x + 18

In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.

(6x - 10) + 38 = 7x + 18

6x + 28 = 7x + 18

We then substract 18 on both sides.

6x + 10 = 7x

We finally substract 6x from both sides in order to have the value of x.

x = 10

Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.

m∠EFG = 6x + 10

m∠EFG = 6(10) + 10

m∠EFG = 60 + 10

m∠EFG = 70

Answer:

50°

Step-by-step explanation:

( 7x + 18 )° = ( 6x - 10 )° + 38°

7x + 18 = 6x - 10 + 38

7x - 6x = 28 - 18

x = 10

m∠EFG = 6(10) - 10

m∠EFG = 50°

Exactly D

well i dont know why gram is non standard

hope it helps.

The correct answer is d. gram. The gram is indeed a metric unit; however, it is not considered a standard metric unit in the International System of Units (SI).

It is equal to one thousandth of a kilogram. The kilogram (a), meter (b), and second (c) are all standard metric units and form the basis of the International System of Units (SI). The kilogram is the unit of mass, the meter is the unit of length, and the second is the unit of time. These units are universally recognized and used in scientific, engineering, and everyday measurements.

Therefore, the gram (d) is the correct option as it is not considered a standard metric unit.

The rest of the options are as follows:

a. kilogram: The kilogram is the standard unit for mass in the International System of Units (SI). It is defined as the base unit for mass.

b. meter: The meter is the standard unit for length in the SI. It is defined as the base unit for length and is commonly used to measure distances.

c. second: The second is the standard unit for time in the SI. It is defined as the base unit for time and is commonly used to measure durations and intervals.

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2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Answer:

2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Step-by-step explanation:

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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Answer:

217 children and 481-217 = 264 adults

Step-by-step explanation:

The matrix A represents the flow constraints of the network flow problem, and the network simplex algorithm it used to find the optimal solution to the problem.

The matrix A is known as the constraint matrix, which represents the flow constraints of the network flow problem. It is typically an m x n matrix, where m is the number of constraints, and n is the number of decision variables. In the network flow problem, the constraint matrix A specifies the flow conservation constraints and the capacity constraints for the arcs.

The network simplex algorithm is an iterative procedure used to find the optimal solution to a network flow problem. It starts with an initial feasible solution and iteratively improves the solution until the optimal solution is found. The algorithm maintains a spanning tree of the network and identifies the entering and leaving arcs to improve the solution.

To solve the problem using the network simplex algorithm, we start with an initial feasible solution represented by the tree indicated by the dashed arcs in the figure. Then, we iterate the following steps until the optimal solution is found:

1.Compute the reduced costs of the non-basic arcs

2.Select the arc with the most negative reduced cost as the entering ar

3.Etermine the leaving arc by applying the minimum ratio test

4.Update the tree by replacing the leaving arc with the entering arc.

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