What is the equation of the line in slope-intercept form?

Answer:

the simplest form of 15/20 is 3/4

Answer:

Step-by-step explanation:

= 1/3 + 1/6 + 1/12 (LCM 12)

= 4/12 + 2/6 + 1/12

= 6/12

= 1/2

Therefore 1/2 = 2 days

They will all work together and finish the job in 2 days

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Answer:

W(0,-4)

Step-by-step explanation:

By translating right, we add the translation unit to the given coordinate of the x-axis

By translating downwards, we have to subtract the translation unit from the given coordinate of the y-axis

So from what we have here;

We are going to add 5 to the x-axis value and subtract 9 from the y-axis value

Thus, we have it that;

W’ (-5 + 5, 5 -9)

W’ (0,-4)

Answer:

sory

Step-by-step explanation:

soryuuuiuuuiiiiiiijjjjkkkkkj

a typical neighborhood, which consists of two blocks east-west and three blocks north-south, covers an area of 75,000 square meters or 300,000 square meters.

The size of each street block is given as 50 meters north-south by 250 meters east-west. Therefore, the area of each block can be calculated as 50 meters * 250 meters = 12,500 square meters.To find the area covered by a typical neighborhood, which consists of two blocks east-west and three blocks north-south, we multiply the number of blocks in each direction. The neighborhood covers 2 blocks east-west * 3 blocks north-south = 6 blocks in total.

The total area covered by the neighborhood can be calculated by multiplying the number of blocks by the area of each block. Thus, 6 blocks * 12,500 square meters/block = 75,000 square meters.

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There are 39 elements in the intersection of the two sets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Union: -

If set A and set B are two sets, then A union B is the set that contains all the elements of set A and set B. It is denoted as A ∪ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A union B is:

A ∪ B = {1,2,3,4,5,6}

Intersection:-

If set A and set B are two sets, then A intersection B is the set that contains only the common elements between set A and set B. It is denoted as A ∩ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:

A ∩ B = { } or Ø

Since A and B do not have any elements in common, so their intersection will give null set.

P(AUB) = P(A) + P(B) - P(A∩B)

Here, P (A) = the number of elements in the set A and so on.

We know that:

                     P (A)= 67

                     P (B)= 72

and                P (AUB) = 100

So, we can solve for the number in the intersection i.e.                     P(A∩B) = P(A) + P(B) - P(AUB)

P(A∩B) = 67 + 72 - 100

P(A∩B) = 139 - 100

P(A∩B) = 39.

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(a) For the function f: R⁴ → R² given by the rule 2x + y - 1 = z + w. f is not a constant linear transformation (b) For the function g: R⁴ → R² given by the rule g(x, y, z, w) = (3 - 0, 3 - 0) = (3, 3). g is not a linear transformation (c) An example of a constant linear transformation is the zero transformation. It is linear (d) It is not possible to find another example of a constant linear transformation from R¹ to R². It cannot fulfill the requirement of mapping

(a) For the function f: R⁴ → R² given by the rule 2x + y - 1 = z + w, let's compute f(e₁) and f(e₂), where e₁ and e₂ are the standard basis vectors in R⁴. When we substitute e₁ = (1, 0, 0, 0) into the function, we get f(e₁) = (2(1) + 0 - 1, 0 + 0) = (1, 0).

Similarly, when we substitute e₂ = (0, 1, 0, 0) into the function, we get f(e₂) = (2(0) + 1 - 1, 0 + 0) = (0, 0). Therefore, f(e₁) = (1, 0) and f(e₂) = (0, 0). To determine if f is a constant linear transformation, we need to check if it is constant and linear. Since f(e₁) = (1, 0) and f(e₂) = (0, 0), we can see that the function gives different outputs for different inputs, so it is not constant. Therefore, f is not a constant linear transformation.

(b) For the function g: R⁴ → R² given by the rule g(x, y, z, w) = (3 - 0, 3 - 0) = (3, 3), we can see that g gives the same output (3, 3) for any choice of x, y, z, w. Hence, g is constant.

To determine if g is a linear transformation, we need to check if it satisfies the properties of linearity. In this case, g does not satisfy the property of linearity because it does not preserve vector addition or scalar multiplication. Therefore, g is not a linear transformation.

(c) An example of a constant linear transformation is the zero transformation. It is defined as T: Rⁿ → Rᵐ, where T(x) = 0 for all x in Rⁿ. This transformation assigns the zero vector to every input vector. It is constant because it gives the same output (the zero vector) regardless of the input. Additionally, it is linear because it preserves vector addition and scalar multiplication.

(d) It is not possible to find another example of a constant linear transformation from R¹ to R². This is because any linear transformation from R¹ to R² must take a one-dimensional space (a line) to a two-dimensional space (a plane). Since a constant transformation maps every input to the same output, it cannot fulfill the requirement of mapping a line to a plane.

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Answer:

The answer is

Step-by-step explanation:

Answer:

\(L(x) = 360 - 15 w\)

Step-by-step explanation:

See comment for complete question

Given

\(Amount = \$360\)

\(Rate = \$15\) weekly

Required

Determine the function to represent the scenario

The amount (L) owed in w weeks is represented as:

\(Amount\ Owed = Amount - Rate * Weeks\)

We used negative because the amount reduces weekly.

So, we have:

\(L(w) = 360 - 15 * w\)

\(L(x) = 360 - 15 w\)

Answer:

to write (-2)^6 as repeated addition, we can write it as -2 + -2 + -2 + -2 + -2 + -2 + -2. When we evaluate this expression, we get -128. Therefore, the answer is negative

Answer:

The first one is 20, second is 5 3/5, the third one should be 22.8, fourth is 1, fifth is 15.9

Step-by-step explanation: Add all the numbers up (for each shape). For the parallelogram multiply the top and right sides by two.

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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ray4918 here to help

No, we cannot use the binomial probability formula with x counting the number who are left-handed in this case

This is because the adults surveyed were selected without replacement. The binomial distribution requires that the samples are independent and identically distributed (i.e., the probability of success remains constant for each trial).

However, when we sample without replacement, the probabilities are not constant because the population size changes with each selection. This means that the probability of selecting a left-handed person for the first selection is not the same as the probability of selecting a left-handed person for the second selection, and so on. Therefore, we cannot use the binomial distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population.

Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population. The hypergeometric distribution takes into account the changing probabilities as each selection is made without assuming that the selections are independent.

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Answer: x = 6, y = 2, (6,2)

Step-by-step explanation:

Let number 1 be "x."

Let number 2 be "y."

The difference between two numbers is 4. --> x - y = 4

Twice the greater number is equal to 3 times the lesser number increased by 2 --> 2x = 3y + 2

This problem can then be solved just like any other system of equations.  I will use the elimination method.  Let me know if you prefer substitution.

\(2x - 3y = 2\\2x - 2y = 4\\0 - y = -2\\y = 2\)

Then, substitute 2 for y.

x - 2 = 4

x = 6

Hope it helps :)

The number of players the team can bring to the tournament = 19 .

Given : amount raised by team = $1775.50

            rent of bus = $901.50

            budget for meal per player = $46

To find : the number of players the team can bring to the tournament

Equation :

taking bus charge as y - intercept ( since it does not depend on the no . of members riding on it )

taking meal amount as slope ( since it depends on the no . of members a team can bring to the tournament )

Let x be the no . of players a team can bring to the tournament .

Therefore , the equation is :

1775.50 = 46 x + 901.50

874 = 46 x

x = 19

Hence , the number of players the team can bring to the tournament = 19 .

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To calculate John's BMI, we need to use the formula BMI = weight (kg) / height (m)^2. When we calculate this, we get a BMI of 36.1.

First, we need to convert John's height and weight to the metric system. His height is 1.75 meters and his weight is 110.5 kilograms.
Next, we can plug those values into the formula: BMI = 110.5 / (1.75)^2.
According to the Centers for Disease Control and Prevention, a BMI of 30 or above is considered obese. Therefore, John falls into the obese category based on his BMI.
It's important to note that BMI is just one measure of health and does not take into account muscle mass or other factors that can affect weight. It's always best to speak with a healthcare professional to determine a healthy weight and lifestyle plan.

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Answer:

length:12m width: 6m

Step-by-step explanation:

w=l-6, lw=72. l*l-6=72, l^2-6l=72. l^2-6l-72=0, l=12 or -6, length cant be negative. L=12. W=L-6, w=6.

Answer: dunno, maybe try using your brain?

Step-by-step explanation:

The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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Answer:

I think the answer would be :

b = 0.375 a

Hope it was helpful for you ^^ .

Answer: 153

Step-by-step explanation:

When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

\(C (N, K) = \frac{N!}{(N-k)!*K!}\)

Where N! = N*(N - 1)*(N - 2)*...*2*1

In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).

Using the above equation we get:

\(C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153\)

There are 153 different ways in which the manager can do this.

Answer:

equilateral triangle is the answer

The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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The Laplace transform of the function \(f(t) = 1 is L{f(t)} = 1/s.\)

To find the Laplace transform of the function f(t) = 1, we will use the definition of the Laplace transform:

L{f(t)} = ∫₀^∞ e^(-st)f(t) dt

where s is a complex number.

For the given function, f(t) = 1 for 0 ≤ t < ∞. This means that the function is constant and equal to 1 for all values of t greater than or equal to 0. Therefore, we can write:

L{f(t)} = ∫₀^∞ e^(-st) dt

To evaluate this integral, we can use the formula:

∫₀^∞ e^(-at) dt = 1/a for a > 0

Applying this formula, we get:

L{f(t)} = ∫₀^∞ e^(-st) dt = [1/(-s)] [e^(-st)]0^∞

= [1/(-s)] [(lim{t→∞} e^(-st)) - e^0]

= [1/(-s)] [(0 - 1)]

= 1/s

Therefore, the Laplace transform of the function f(t) = 1 is L{f(t)} = 1/s.

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Answer:

< ADB or <BDA

Step-by-step explanation:

CDA + ADB = 90-degree angle

We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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