z+ 12w when z=8 and w=4

Answer:11.1374847 Meter per second

Step-by-step explanation:

km / hr

/ = divide

To solve this question, we'll begin by converting 625 km to m. This can be obtained as follow:

1 km = 1000 m

Therefore,

625 km = 625 × 1000

625 km = 625000 m

Thus, 625 km is equivalent to 625000 m.

Next, we shall convert 4.33 hours to second. This can be obtained as follow as follow:

1 h = 3600 s

Therefore,

4.33 h = 4.33 × 3600

4.33 h = 15588 s

Thus, 4.33 h is equivalent to 15588 s.

Finally, we shall convert 625 km per 4.33 hours to m/s

625 km = 625000 m

4.33 h = 15588 s

625 km per 4.33 hours = 625000 m / 15588 s

Therefore, 625 km per 4.33 hours is equivalent to 40.09 m/s

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Therefore, the surface area of the given triangular prism is approximately 126.56 square units.

Surface area is a measure of the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces or surfaces of an object. Surface area is usually expressed in square units, such as square inches, square centimeters, or square meters, depending on the unit system being used.

For example, if you have a cube with side length "s", its surface area can be calculated by finding the area of each face and adding them together. Since a cube has six square faces of equal size, the formula for its surface area would be:

Surface Area of Cube = 6s²

by the question.

To find the surface area of a triangular prism, we need to calculate the area of all its faces and then add them together.

First, let's find the area of the two triangular bases. Each base is a right triangle with base 5, height 4, and hypotenuse 7. We can use the Pythagorean theorem to calculate the height of the triangle:

\(4^2 + (5/2)^2 = h^2\)

\(16 + 6.25 = h^2\)

\(22.25 = h^2\)

\(h = \sqrt(22.25)\)= 4.71

So, the area of each base is:

\(A = 1/2 * base * height = 1/2 * 5 * 4.71 = 11.78\)

Next, we need to find the area of the three rectangular faces. The two congruent rectangular faces have dimensions of 5 by 6, and the remaining rectangular face has dimensions of 7 by 6. The area of each rectangular face is simply the product of its dimensions:

\(A1 = 5 * 6 = 30\)

\(A2 = 5 * 6 = 30\)

\(A3 = 7 * 6 = 42\)

Finally, we can calculate the total surface area of the prism by adding up the areas of all five faces:

\(Total surface area = 2A(base) + A1 + A2 + A3\)

\(Total surface area = 2(11.78) + 30 + 30 + 42\)

\(Total surface area =126.56\)

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Answer:

y= 11

Step-by-step explanation:

\(\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Substituting the coordinates and value of slope:

\( \frac{y - ( - 3)}{3 - ( - 4)} = 2\)

\( \frac{y + 3}{3 + 4} = 2\)

\( \frac{y + 3}{7} = 2\)

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

Answer: it will take both the kids 5 hours

Step-by-step explanation: 45+5x5=50   5+9x5=5

9 times 5 is 45 in 5 hours Isaiah will have completed 5 pages and he started at 45 so in 5 hours Brenna will have completed 45 pages and she started at 5

Step-by-step explanation:

2. AB || CD                              2. Def of parallelogram

3. <BAC is congr <DCA         3. alt int angles of parallel lines

4. seg AB is congr seg CD    4. Theorem: opp sides of parallel are congr

5. <s AEB and CED are rt <s    5. Def of perpendicular lines

6. <AEB is congr <CED           6. Theorem: all right angles are congr

7. tr. AEB is congr tr. CED       7. AAS

8. seg. AE is congr seg. CE   8. CPCTC

9. <BEC is a rt <                      9. Def of perpendicular lines

10. <AEB is congr <BEC         10. Theorem: all right angles are congr

11. seg BE is congr seg. BE     11. Theorem: congr of seg's is reflexive

12. tr. AEB is congr tr. CEB       12. SAS

13. seg AB congr seg BC         13. CPCTC

The dimensions of Lewis model of the train station will be;

⇒ 3 inches by 6 inches by 4 inches.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The engine measures 8 inches long and is the model of a train that is 80 feet long.

The station in his city is 30 feet by 60 feet by 40 feet.

Now,

Since, Lewis assumed a dilation model in which 80 feet is 8 inches long. So, We can formulate;

80 feet = 8 inches

1 ft = 8/80

    = 1/10 inches

And, The dimensions of station in Lewis native city is 30 feet by 60 feet by 40 feet.

So, The dilating the dimensions with a scale factor of 1/10 inches as;

30 feet = 30 x 1 feet

           = 30 x 1/10

           = 3 inches

60 feet = 60 x 1 feet

           = 60 x 1/10

           = 6 inches

40 feet = 40 x 1 feet

           = 40 x 1/10

           = 4 inches

Thus, The dimensions of his model of the train station will be;

⇒ 3 inches by 6 inches by 4 inches.

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A stratified sample in this case can be selected as follows:

The rooms are divided by whether they overlook the ocean or the street, and 25 of each are selected.

The five most common classifications for sampling are listed as follows:

In this problem, the groups are given as follows:

50 rooms will be sampled, hence the number that is sampled from each group is given as follows:

50/2 = 25 rooms from each group.

The problem asks to describe a stratified sample for this situation.

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The most general real-valued solution to the given linear system of differential equations is a combination of exponential terms involving eigenvalues and eigenvectors of the matrices A and B.

To find the most general real-valued solution to the linear system of differential equations:

x⃗ ′ = [12 − 25]x⃗

x→′ = [1 − 225]x→

Let's denote the matrix [12 − 25] as A and the matrix [1 − 225] as B. The system of differential equations can be written as:

x⃗ ′ = Ax⃗

x→′ = Bx→

To find the general solution, we need to solve the system of differential equations. Let's start with the first equation:

x⃗ ′ = Ax⃗

We can solve this equation by finding the eigenvalues and eigenvectors of matrix A. The eigenvalues, λ, are the solutions to the characteristic equation:

det(A - λI) = 0

where I is the identity matrix.

Solving this equation will give us the eigenvalues λ1 and λ2.

Once we have the eigenvalues, we can find the corresponding eigenvectors, v1 and v2.

The general solution for the first equation is then given by:

x⃗ = c1 * e^(λ1t) * v1 + c2 * e^(λ2t) * v2

where c1 and c2 are constants.

Now, let's move on to the second equation:

x→′ = Bx→

Similarly, we find the eigenvalues μ1 and μ2 of matrix B and the corresponding eigenvectors w1 and w2.

The general solution for the second equation is:

x→ = k1 * e^(μ1t) * w1 + k2 * e^(μ2t) * w2

where k1 and k2 are constants.

Combining the solutions for both equations, the most general real-valued solution to the given linear system of differential equations is:

x⃗ = c1 * e^(λ1t) * v1 + c2 * e^(λ2t) * v2

x→ = k1 * e^(μ1t) * w1 + k2 * e^(μ2t) * w2

where c1, c2, k1, and k2 are constants, and λ1, λ2, v1, v2, μ1, μ2, w1, and w2 are determined by the eigenvalue-eigenvector analysis of matrices A and B, respectively.

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This is a simple probability problem to solve, first, we need to know how many cookies we have inside the bag. So we have 8 chocolate chip cookies + 4 peanut butter cookies + 9 sugar cookies + 6 oatmeal cookies = 27 cookies (total). Once we have the total we can see the probability to first randomly select a chocolate chip cookie is P (first chocolate chip cookie) = 8/27 (we just have 8 chances to select a chocolate chip cookie between 27 cookies).

After we select a chocolate chip cookie and eat it, now we just have 26 cookies inside the bag. So our probability to select randomly a sugar cookie is P (sugar cookie second) = 9/26 (we just have 9 chances to select a sugar cookie between 26 cookies). Now we just need to combine those two probabilities, and to do that as a sequence (probability 1 first, next probability 2) we use the product operator *. So P(chocolate chip cookie first and sugar cookie second) = P (first chocolate chip cookie) * P (sugar cookie second) = (8/27) * (9/26) = 72/702.

Finally, our final answer is P(chocolate chip cookie first and sugar cookie second) = 0.1025 (approximately).

Answer:

The another way to write 26,000 = 10×2,600.

MEH ANSWER WAS WRONGGGGG {T~T}

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

The value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

A function is a mathematical equation that shows the relationship between two variables.

Given the function f(x) = 3x - 5, we desire to find f(2).

To find f(2), we substitute x = 2 into the equation. So, we have that

f(x) = 3x - 5. So substituting x = 2 into the equation, w ehave

f(2) = 3(2) - 5

f(2) = 6 - 5

f(2) = 1

So, the value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

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Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

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We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Answer: \(19.31\ ft\)

Step-by-step explanation:

Given

The tower is at a height of \(h=20\ ft\)

the angle of depression is \(15^{\circ}\)

Suppose the surfer is x ft away from the base of the tower

\(\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft\)

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

Answer:

$16.20

Step-by-step explanation:

to find the sales tax multiply the original number by the sales tax. 15*.08 is 1.2. Then add that to $15

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2\(\pi r^{2}\) + \(\pi r\)h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = \(\frac{22}{7}\) x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 \(m^{2}\).

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 \(m^{2}\)

Given that 150 g of paint would be required to paint an area of 1 \(m^{2}\), the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = \(\frac{1245}{1000}\)

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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Answer:

4900mm^2 or 24010000mm

Step-by-step explanation:

When the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set.

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

Hence, the complete statement is "when the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set."

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The minimum requirements for a class i aluminum main lightning conductor are a strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.

These requirements are set by industry standards and regulations to ensure the safety and effectiveness of the lightning protection system. The strand size refers to the diameter of the individual wires that make up the conductor, which must meet a minimum size to withstand the forces of a lightning strike. The weight per length is a measure of the conductor's strength and durability, with a higher weight indicating a more robust design. Finally, the cross-sectional area is the total area of the conductor's circular shape, which impacts its ability to conduct electrical current and dissipate the energy from a lightning strike.

Overall, meeting these minimum requirements is essential for ensuring that a lightning protection system is capable of effectively capturing and directing the energy from a lightning strike to the ground, protecting the building and its occupants from potential harm.

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Given the point-slope equation

Simplify as shown below

The answer is -2x/3+y=-19/3. Write -2/3 in the first gap, 1 in the second gap, and -19/3 in the third one.

How to multiply fractions

How to add fractions,

Answer:

2x + -3y = 19

Step-by-step explanation:

In this question, they already gave you the equation of the line. But it is in point-slope form. We just need to rearrange the equation to look like:

Ax + By = C

A and B and C should be positive or negative whole numbers. So let's get rid of the fraction first.

y + 1 = 2/3 (x - 8)

You could use distributive property on the right side, but that is just going to make two terms have fractions. Instead, let's multiply both sides by 3 and get rid of the fraction.

3(y + 1) = 3• 2/3(x-8)

3(y + 1) = 2(x - 8)

Now use distributive property.

3y + 3 = 2x - 16

We need x and y on the left and plain numbers on the right.

3y + 3 = 2x - 16

Subtract 3

3y = 2x - 19

Subtract 2x

3y - 2x = -19

Rearrange the x and y terms, put x in the lead.

-2x + 3y = -19

This is almost standard form. The A is supposed to be positive. So change the sign of ALL the numbers. A is 2, the B is -3 and the C is 19. Those are the numbers that go in the blanks on your question.

Answer:

The first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...

Step-by-step explanation:

We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.

And we want to find the sequence.

Recall that the sum of an A.P. is given by:

S = k / 2 ( a + xk)

Where a is the first term, k is the number of terms, and x_k is the last term.

We can represent our term values with the direct formula:

Xn = a + d (n-1)

Where the first term, x₁ = a.

The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:

(5) = 10/2 (a+xk)

5 = 5(a+(a+9d))

2a + 9d = 1

The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:

(215) = (10)/2 (a + xk)

215 = 5((a+d(11-1))+(a+d(20-1)))

2a + 29d = 43

This yields a system of equations:

\(\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.\)

Solve:

(2a + 9d) + (-2a - 29d) = (1) + (-43)

-20d = -42

d = 2.1

Consequently:

a = 1/2(1-9d)

= 1/2(1-9(2.1))

= -8.95

In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...  

Scala factors are used to compress or enlarge an image.

The actual length and width of the basketball court are 84 feet and 25 feet, respectively.

From the question, the scale measurements are:

Length = 10.5 feet

Width = 6.25 feet

Given that the scale factor is 8.

The actual dimensions are the product of the scale dimensions by 8.

So, we have:

Actual length = 10.5 feet * 8 = 84 feet

Width = 6.25 feet * 4 = 25 feet

Hence, the actual length and width of the basketball court are 84 feet and 25 feet, respectively.

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The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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Answer:

Sunflower because it has the fewest number of them all

Sunflower is having the fewest number of 8 amongst all.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.

rose            -       16

lily               -       24

orchid         -       32

sunflower   -       8

From the above table we can see that the sunflower has the fewest number.

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The number in between 10 and 15 and having prime factors of 2 and 3 is 12.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

The integer between 10 and 15 are,

11,12,13,14

The prime factors of 2 and 3 will be given as,

\(2^{a} \times 3^{b}\) where a and b can be positive.

Since, 12 = 2² × 3¹

Thus, 12 is the only number that is the prime factor of 2 and 3 both.

Hence "The number between 10 and 15 and having prime factors of 2 and 3 is 12".

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