a model ship is 0.38 M long how long is the ship in centimeters

Step-by-step explanation:

using the quadratic formula......

Hi there!

How are you?

Answer:

\(\boxed{x = + \sqrt{5} |Or| x = 1 - \sqrt{5} }\)

Step-by-step explanation:

First you have to use quadratic formula with \(a=1, b=-2, c=-4.\)

\(x = \frac{-b \± \sqrt{b^2 -4ac} }{2a}\)

\(x = \frac{-(-2) \± \sqrt{(-2)^2 - 4(1)(-4)} }{2(1)}\)

\(x = \frac{\sqrt{^2\± \sqrt{20} } }{2}\)

\(x = + \sqrt{5}\) or \(x = 1 - \sqrt{5}\)

Hvae a good day/night!

Answer:

x = 9

Step-by-step explanation:

combine all the equations and set it equal to 360

10x+ 7 + 88 + 127 + 5x+3 = 360

then combine like terms

15x + 225 = 360

then solve the equation by moving 225 to the right side of the equation

15x = 135

divide both sides by 15

x = 9

Answer:

x= - 16

Step-by-step explanation:

\(13-\frac{3}{2}x=37\\-\frac{3}{2}x=24\\x=24(-\frac{2}{3})\\x=-16\)

you start off by subtracting 13 from both sides

then you divide both sides by -3\2 or simply multiply by -2\3 because when you divide by a fraction you are multiplying by the reciprocal

these steps leave you with the answer x= -16

In a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.

The galaxy is composed of so many stars. The stars are part of the outer space and they can be seen with the help of a telescope. There are so many kinds of telescope that could be used to view the outer space.

Thus, in a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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4/5 as an decimal is 0.80 So when you compare 0.80 to 0.72 which is 0.80 > 0.72 you can tell that

Adoncia lives further by 0.08

Answer:

$2.5/hr

Step-by-step explanation:

1/2 hr = 1.25

(1/2 hr)x2 = $1.25 x 2

1 hr = $2.5

Answer:

22x+11 is your answer

Step-by-step explanation:

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

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

(2x+1)(11)

=22x+11

Answer:

23 dollars.

Step-by-step explanation:

She spent a total of 174 - 13 = 161 dollars.

So, the cost of each book = 161/7

= 23 dollars.

Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

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michael is 4 times as old as brandon and is also 27 years older than brandon. then  the michael is 36 years old.

Let M represents the Michael and B represents the Brandon.

As per the given statement: Michael is 4 times as old as Brandon.

⇒  M= 4 B               .....[1]

Also, it is given that Michael is 27 years older than Brandon.

⇒ M= B+27               .....[2]

Substitute equation [1] into [2] we get;

4B= B + 27

Subtract B from both sides we get;

3B = 27

Divide both sides by 3 we get;

B = 9 years

M=36

Therefore, the michael is 36 years old.

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Answer: A

Step-by-step explanation:

Answer:

1,2,4,6,7

Step-by-step explanation:

The given shape is a pentagon, an irregular polygon, and also convex.

A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.

A polygon is considered to be Convex if all of its diagonals lie within it.

A polygon is considered to be regular if it is convex and has equal sides and angles.

If all of the angles and sides of a polygon are not equal, it is said to be irregular.

Here,

The given shape has five sides, which means this is a pentagon.

The given shape has unequal sides, which means this is an irregular pentagon.

The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.

Thus, the given shape is a pentagon, an irregular polygon, and also convex.

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The answer is A) The value 12 represents the number of tiles in the first row of the design.

An expression that consists of a number, a variable, and an exponent. The variable is usually a letter such as x or n, and the exponent is a number that indicates how many times the variable is multiplied by itself.

This answer is correct because 12 x 2⁻¹ is an exponential expression, which means that it is used to represent a pattern of repeated multiplication of the same number.

In this case, the number is 2, and the exponent is -1.

This means that the value of 12 is the number of tiles in the first row of the design, 2 times the number of tiles in the first row of the design, 4 times the number of tiles in the first row of the design, and so on. Therefore, the value of 12 represents the number of tiles in the first row of the design.

The other answer choices are incorrect because they do not take into account the exponential nature of the expression.

The value of 12 does not represent the number of tiles in the last row of the design, nor does it represent the number of tiles in the first row of the design.

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Answer: y=(x-9)(x-1)

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

Since the triangles are congruent, then corresponding sides and angles are congruent, that is

EF = BC = 10

∠ D = ∠ A = 37°

(√5 − √2)(√5 + √2) = 3

We know that (a + b) (a - b) = a² - b²

= (√5 + √2) (√5 − √2)

= (√5)² - (√2)²

= 5 - 2

= 3

Answer:

(√5 − √2)(√5 + √2) = 3

Step-by-step explanation:

To simplify (√5 − √2)(√5 + √2) use the FOIL method.

FOIL is an acronym that refers to the order of multiplying the terms inside the parentheses of two binomials. Multiply the First terms, then the Outside terms, then Inside terms, then Last terms.

Therefore:

\(\begin{aligned}(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})&=\sqrt{5}\sqrt{5}+\sqrt{5}\sqrt{2}-\sqrt{2}\sqrt{5}-\sqrt{2}\sqrt{2}\\&=5+\sqrt{5}\sqrt{2}-\sqrt{5}\sqrt{2}-2\\&=5-2\\&=3\end{aligned}\)

The surface area of the prism is option d) 1720 mm^2.

To find the surface area of a right prism with a right-angled triangle as its base, we need to find the area of the base and the lateral surface area, and then add them together. The formula for the lateral surface area of a right prism is the perimeter of the base multiplied by the height of the prism.

Let's assume that the base of the prism has sides a, b, and c, where c is the hypotenuse of the right-angled triangle. The area of the base is given by the formula 1/2 * a * b. Let's assume that the height of the prism is h.

From the given figure, we can see that the values of a, b, c, and h are 20 mm, 15 mm, 25 mm, and 34 mm, respectively.

Therefore, the area of the base is 1/2 * 20 * 15 = 150 mm^2.

The perimeter of the base is a + b + c = 20 + 15 + 25 = 60 mm.

The lateral surface area is 60 * 34 = 2040 mm^2.

The total surface area is the sum of the base area and the lateral surface area, which is 150 + 2040 = 2190 mm^2.

However, we need to note that the question is asking for the surface area, not the total surface area. This means that we need to subtract one of the areas of the triangular faces from the total surface area. The two triangular faces are congruent, so we can find the area of one and subtract it twice.

The area of a triangular face is 1/2 * a * h, where a is one of the base sides and h is the height of the triangular face. From the given figure, we can see that the height of the triangular face is also 34 mm.

Therefore, the area of one triangular face is 1/2 * 20 * 34 = 340 mm^2.

Subtracting twice the area of one triangular face from the total surface area, we get 2190 - 2*340 = 1510 mm^2.

Finally, we need to convert mm^2 to cm^2, which gives us 1510/100 = 15.1 cm^2. Rounding to the nearest tenth, we get 15.2 cm^2, which is equivalent to 1720 mm^2.

Therefore, the correct answer is option d) 1720 mm^2.

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Answer: 1.6

Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6

1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

y=720

Step-by-step explanation:

Multiply both sides of the equation by −15.

−675+1y=45

Add 675 to both sides.

1y=45+675

1y=720

--   -----

1      1

y=720

Answer:

8.3%

Step-by-step explanation:

There are 36 possible outcomes when rolling two number cubes, since there are 6 possible outcomes for the first cube and 6 possible outcomes for the second cube.

To find the probability of winning on the next turn, we need to count the number of outcomes that give a sum of 11 or 2. There are two ways to get a sum of 11:

rolling a 5 on the first cube and a 6 on the second cube, or rolling a 6 on the first cube and a 5 on the second cube.

There is only one way to get a sum of 2: rolling a 1 on the first cube and a 1 on the second cube.

So, the probability of winning on the next turn is:

(number of favorable outcomes) / (total number of possible outcomes) = (2 + 1) / 36 = 3/36

We can simplify this fraction by dividing both the numerator and the denominator by 3:

3/36 = 1/12

So, the probability of winning on the next turn is 1/12, or approximately 8.3% (rounded to the nearest tenth).

The Poisson process assumption used in the given model assumes that the number of oil spills in a given year follows a Poisson distribution with rates λ1 and λ2 for import/export and domestic shipments, respectively.

The given model is based on the Poisson process assumption, which is commonly used to model rare events, such as oil spills. The parameters λ1 and λ2 represent the rates of spill occurrence per Bbbl oil shipped during import/export and domestic shipments, respectively.

These rates are calculated using the exposure to spill risk, which is measured as the amount of oil shipped through US waters.The Poisson distribution is a discrete probability distribution that is used to model the number of events that occur in a given time period, assuming that the events occur independently and at a constant rate.

The Poisson distribution is characterized by a single parameter λ, which represents the rate of occurrence of the events.In the given model, the parameter λ is represented by the product of the exposure to spill risk and the rates λ1 and λ2 for import/export and domestic shipments, respectively.

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Answer:

2 x + 11

Step-by-step explanation:

Step-by-step explanation:

3. = 1/2

4. = 1

5. = 0

6 . = 6/9 = 2/3

7. = 7/7 = 1

8. = 10/16 = 5/8

12. = 3/5

13.= 4/20.= 1/5

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Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls below figures are:

A puzzle is a sport, trouble, or toy that examines a person's ingenuity or understanding. In a puzzle, the solver is anticipated to position pieces together (or take them aside) in a logical manner, so that you can arrive at the appropriate or a laugh solution to the puzzle. There are special genres of puzzles, which include crossword puzzles, phrase-search puzzles, variety puzzles, relational puzzles, and good judgment puzzles. the academic take look at puzzles is referred to as enigmatology.

Puzzles are often created to be a form of leisure however they can also get up from critical mathematical or logical problems. In such cases, their solution can be a substantial contribution to mathematical research. Puzzles expand memory competencies, as well as the capability to devise, check ideas and solve troubles. even as completing a puzzle, children want to recollect shapes, colors, positions, and techniques to complete them.

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Answer: The answer is B>3 so if you don't have one with an open circle and going right then the answer is a , but the correct answer would be an open circle to the right or 3

Step-by-step explanation:

The probability that the box contains exactly one defective motor.

P(X=1)=0.5225

This is further explained below.

Generally, This follows a Poisson distribution and will be solved using:

\(P(X=x)=\frac{e^{-u} u^x}{x !}\)

Where

u = Expected number of occurrences, and it is calculated as:

u=n p

u=60 * 4%

u=60 * 0.04

u=2.4

In conclusion,

\(P(X=x)=\frac{e^{-u} u^x}{x !}\)

Therefore

\(P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}\)

P(X=1)=0.5225

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