Solve 3(3x - 5) =21

Look at the coordinates, y=4 in that coodinate meaning it is the y=intercept.

The slope u already know,

The formula for equation --> Y=mx+b

Answer: Y=3/4+4

Answer:

a because it is the one that makes the most sense

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Count the multiples of 3, 17, and 35 in the given range.

We have

1000 = 999 + 1 = 3•333 + 1

so there are 333 multiples of 3;

1000 = 986 + 14 = 17•58 + 14

so there are 58 multiples of 17; and

1000 = 980 + 20 = 35•28 + 20

so there are 28 multiples of 35.

Now count the multiples of 3 and 17, 3 and 35, and 17 and 35.

Since LCM(3, 17) = 51, we have

1000 = 969 + 31 = 51•19 + 31

so there are 19 multiples of 51.

LCM(3, 35) = 105, and

1000 = 945 + 55 = 105•9 + 55

so there are 9 multiples of 105.

LCM(17, 35) = 595, and

1000 = 595 + 405

so there is only 1 multiple of 595.

Also count the multiples of 3 and 17 and 35 together.

LCM(3, 17, 35) = 1785 which exceed 1000, so there are no more multiples.

Now use the inclusion/exclusion principle to count the multiples of 3 or 17 or 35 or any combination of them.

333 + 58 + 28 - (19 + 9 + 1) = 390

Then there are 1000 - 390 = 610 positive integers in the range that are not divisible by 3, 17, or 35.

The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

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Answer:

The specific heat of the brass can be calculated using the formula:

Q = mcΔT

where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.

First, calculate the heat transferred from the brass to the water:

Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J

Next, calculate the heat transferred from the water to the brass:

Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J

Since the heat lost by the brass is equal to the heat gained by the water:

Qbrass = Qwater

9375c J = 3191.84 J

c = 0.34 J/g. °C

Therefore, the specific heat of the brass is 0.34 J/g. °C.

Step-by-step explanation:

The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.

A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.

The above function is derived as follows:

T = 2π/4 = π/2 = 2π/ω

Therefore, ω = 2π/π/2 = 4

This means f(x)= -106 cos (4x) + 106

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To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

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The probability of hitting the shaded ring, assuming you hit the board is 25%.

We have,

Shaded region area.

= πr²

= π x 5²

= 25π in²

Now,

Area of the dartboard.

= πr²

= π x 10²

= 100π in²

Now,

The probability of hitting the shaded ring, assuming you hit the board.

= Area of the shaded region / Area of the dartboard

= 25π/100π

= 1/4

Now,

As a percentage.

= 1/4 x 100

= 25%

Thus,

The probability of hitting the shaded ring, assuming you hit the board is 25%.

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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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so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16

Answer:

no

Step-by-step explanation:

28x+17=157   Subtract 17 on both sides.

       -17  -17

28x=140

x=5

5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.

Hope this helps!! Have a great day :)

Answer:

12 units

Step-by-step explanation:

hope this helped luv!

If 15 carpenters can build 3 houses in 3 hours, it means that each house takes 1 hour to complete with their combined effort. Therefore, it would take 5 carpenters the same amount of time, 1 hour, to build 1 house.

Given that 15 carpenters can build 3 houses in 3 hours, we can determine their collective rate of work. Since 3 houses are built in 3 hours, it means each house takes 1 hour to complete with the combined effort of the 15 carpenters. Now, if we reduce the number of carpenters to 5 while keeping the rate of work constant, it stands to reason that 5 carpenters would take the same amount of time, 1 hour, to build 1 house. The number of carpenters is inversely proportional to the time taken to complete a task, assuming the rate of work remains constant. Therefore, by reducing the number of carpenters from 15 to 5, we can still maintain the same rate of work and complete 1 house in 1 hour.

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The cost of the adult tickets that Ms. Valencia bought is $12.

Ms. Valencia bought 8 tickets for the school movie night, and one-fourth of the tickets are adult tickets. The adult tickets cost $6 each.

The equation that can be used to find t, the cost of the adult tickets Ms. Valencia buys, is shown below:

t = (1/4) x 8 x $6

The above equation is used to find t, the cost of the adult tickets. The first part of the equation, 1/4, represents the fraction of the tickets that are adult tickets. The next part of the equation, 8, represents the total number of tickets bought by Ms. Valencia. The last part of the equation, $6, represents the cost of each adult ticket.

By multiplying all these values together, we can find t, the total cost of the adult tickets that Ms. Valencia bought.

Substituting the values from the problem into the equation, we get:

t = (1/4) x 8 x $6t = (2 x $6)t = $12

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9514 1404 393

Explanation:

(In order avoid issues with the Brainly censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)

General Approach

The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.

Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.

_____

Proof

1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given

2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines

3. CD + CB = DB . . . . segment sum theorem

4. AB + CB = DB . . . . substitution property of equality (CD→AB)

5. AB +CB = AC . . . . segment sum theorem

6. DB = AC . . . . transitive property of equality

7. ΔACG ≅ ΔDBE . . . . HL theorem

Robert's height at fourteen was approximately 2.26 meters.

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane.

Robert's height in feet at fourteen was 7 feet 5 inches. To convert this to meters, we first need to convert feet to inches:

7 feet = 7 x 12 = 84 inches

5 inches = 5

So his height in inches was 84 + 5 = 89 inches.

Now, to convert inches to meters, we need to multiply by 2.54 cm (since 1 inch = 2.54 cm) and then divide by 100 to get the answer in meters:

89 inches x 2.54 cm/inch / 100 cm/m = 2.2616 meters

Therefore, Robert's height at fourteen was approximately 2.26 meters.

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Currently, Zoe's age is nine years old

From the question, we have the following mathematical statements:

The above means that:

x = y - 2

x² + 4y =  125

Where x represents Zoe's and y represents Keilantra

Make y the subject in x = y - 2

y = x + 2

So, we have

x² + 4(x + 2_ =  125

Expand

x² + 4x+ 8 =  125

Evaluate

x² + 4x - 117 = 0

Using a graphing calculator, we have

x = 9

Recall that:

x represents Zoe's

Hence, Zoe;s age is 9

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Answer:

He drives 2921 a week.

Step-by-step explanation:

If Tia drives 127 miles in a week, and Mac drives 23 times as many miles as Tia, then we multiply. 127x23=2921.

Hope this helped :)

Answer:

Scroll Down Below...

Step-by-step explanation:

To judge the necessary ∫(cos^5x / bunk^5x) dx, we can facilitate the integrand utilizing concerning manipulation of numbers identities.First, we revise bunk^5x as (cosx / sinx)^5 and streamline:∫(cos^5x / bunk^5x) dx = ∫(cos^5x / (cosx / sinx)^5) dx                       = ∫(cos^5x * sin^5x / cos^5x) dx                       = ∫sin^5x dxNow we can use a concerning manipulation of numbers correspondence to further reduce sin^5x. We have:sin^5x = (1 - cos^2x)^2 * sinx       = (1 - cos^2x)(1 - cos^2x) * sinx       = (1 - cos^2x)(sin^2x) * sinx       = sin^3x - sinx * cos^2xNow we can revise the complete as:∫sin^5x dx = ∫(sin^3x - sinx * cos^2x) dxWe can mix each term alone:∫sin^3x dx = (-1/3) * cos^3x + C1∫(sinx * cos^2x) dx = (1/3) * cos^3x + C2Where C1 and C2 are unification continuous.Therefore, the resolution to the elemental is:∫(cos^5x / bunk^5x) dx = ∫sin^5x dx = (-1/3) * cos^3x + C1 - (1/3) * cos^3x + C2                                            = -(2/3) * cos^3x + CWhere C = C1 + C2 is the ending unification loyal.

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

Solution

The question would like us to evaluate the following expression

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

Also,

Thus, combining both results, we have:

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

Answer:

\( \boxed{\sf y(y - 8)} \)

Step-by-step explanation:

\( \sf Factor \: the \: following: \\ \sf \implies {y}^{2} - 8y \\ \\ \sf Factor \: y \: out \: of \: {y}^{2} - 8y: \\ \sf \implies y(y - 8)\)

Answer:

Step-by-step explanation:

y(y - 8)

Answer:

option 2 = 48 cm ²

12 × 4 = 48

cm × cm = cm²

answer = 48 cm²

Answer:

L = \(5 \frac{1}{6} cm = \frac{31}{6} \) cm

B = \(2 \frac{2}{7}cm = \frac{16}{7} \)cm

Area = \( \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} \)

\(11 \frac{34}{42}cm^{2} \)

\( = 11\frac{17}{21}cm^{2} \)

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:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)

f(2) denotes that we are substituting

x=2 in the function f(x) = 4x - 3. So, f(2) = 4(2) – 3 = 8 – 3 = 5. As a result, f(2) = 5.

Similarly, to calculate f(-10),

we enter x=-10 into the formula f(x) = 4x - 3. So, f(-10) = 4(-10) – 3 = -40 – 3 = -43. As a result, f(-10) = -43.

To find f(0),

enter x=0 into the function f(x) = 4x - 3. So, f(0) = 4(0) – 3 = 0 – 3 = -3. As a result, f(0) = -3.

To obtain f(0) = 4(0) - 3 when we substitute x=0 in the function f(x) = 4x - 3. So, 4 times 0 equals 0, and 0 minus 3 equals -3. As a result, f(0) = -3.

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Answer:

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is

.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.

Step-by-step explanation:

<3 follow

The reliability of component B in the equipment system can be calculated based on the given information that the probability of system failure is 0.003 and component A has a reliability of 0.998.

The reliability of a system is the probability that it will function without failure over a specified period. In this case, the system will fail if either component A or B fails. Let's denote the reliability of component B as R(B). The probability of system failure is equal to the complement of the reliability, so we have:

Probability of failure = 1 - R(B) = 0.003.Given that the reliability of component A is 0.998, we know that the system will only fail if both components A and B fail simultaneously. Since the system failure probability is very low (0.003), we can assume that the probability of both components failing together is negligible.

Probability of failure = Probability of failure of A * Probability of failure of B. Since the probability of failure of A is negligible compared to the system failure probability, we can simplify the equation as: 1 - R(B) ≈ 0.003. Solving for R(B), we find: R(B) ≈ 1 - 0.003 = 0.997

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