the difference between two times a number and 18 is 8(in algebraic form)

Answer:

günde 8 L süt × inek sayısı 12×8 = 96.

6 L sütten bı kg peynir ediyo

L süt × inek ÷ peynir 96:6 = 16

The surface area of the right prism with dimensions 3m, 8m, 9.1m is 126.60 m².

A prism is a three-dimensional shape that has two parallel congruent bases that are both polygons, and lateral faces that connect these bases. The shape of the lateral faces can vary, but they are typically parallelograms. Examples of prisms include rectangular prisms (such as a box), triangular prisms, and hexagonal prisms.

To find the surface area of a right prism, we need to find the area of each face and add them up.

In this case, we have a rectangular base with dimensions of 3 m and 8 m, so the area of the base is:

Area of base = length x width = 3 m x 8 m = 24 m²

The height of the prism is 9.1 m, so the area of the two rectangular faces is:

2 x (length x height) = 2 x (3 m x 9.1 m) = 54.6 m²

The area of the top and bottom faces, which are also rectangles, are the same as the base, so we add that twice:

2 x 24 m² = 48 m²

Now we can add up all the areas to find the surface area:

Surface area = area of base + area of two rectangular faces + area of top and bottom faces

Surface area = 24 m² + 54.6 m² + 48 m²

Surface area = 126.6 m²

Rounding to the nearest hundredth, the surface area is about 126.60 square meters.

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The exponential form of the given complex number is 5e^(i135°).

Expressing 5(cos135° + jsin135°) in exponential form:

To convert the given complex number to exponential form, we use Euler's formula, which states that e^(ix) = cos(x) + isin(x). Here, we have 5(cos135° + jsin135°), so let's apply Euler's formula:

5(cos135° + jsin135°) = 5e^(i135°)

The exponential form of the given complex number is 5e^(i135°).

To convert from the trigonometric form (cosθ + jsinθ) to exponential form, we utilize Euler's formula. In Euler's formula, e^(ix) represents the exponential form of cos(x) + isin(x), where e is the base of the natural logarithm and i is the imaginary unit.

In this case, the angle is 135°, so we substitute θ = 135° into Euler's formula:

e^(i135°) = cos(135°) + isin(135°)

Using the trigonometric identities, we can calculate cos(135°) and sin(135°):

cos(135°) = -√2/2

sin(135°) = √2/2

Thus, the exponential form becomes:

5e^(i135°) = 5(-√2/2 + i√2/2)

The complex number 5(cos135° + jsin135°) can be expressed in exponential form as 5e^(i135°), where e is the base of the natural logarithm. The calculation involved substituting the angle into Euler's formula and simplifying the trigonometric functions to determine the real and imaginary components.

Note: The following equations mentioned in your question were not provided:

(a) 3(cos232° + jsin232°)

(b) 2(cos240° + jsin240°)

Without the equations, it is not possible to provide the polar forms or calculate the distance from the origin and angle from the positive R axis.

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Answer:

x=3 , y=-1

Step-by-step explanation:

9x-13=6x-4

9x-6x=13-4

3x=9

x=3

9y+16=4y+11

9y-4y=11-16

5y=-5

y=-1

Answer:

4p³z - 14z +13

Step-by-step explanation:

(5p³z -9z +9) - (p³z +5z -4)

the - multiplies the bracket

5p³z -9z +9 -p³z -5z +4

collect like terms

5p³z -p³z -9z -5z +9+4

4p³z - 14z +13

We can use the law of cosines to relate the angle between the line and the water to the length of the line:

cosθ = (L² - h² - d²)/(2hd)

where L is the length of the line, h is the height of the point above the water, and d is the distance that the fish has been reeled in.

Taking the derivative with respect to time, we get:

-d/dt(cosθ) = d/dt((L² - h² - d²)/(2hd))

Using the chain rule, we get:

-d/dt(cosθ) = (1/2h)(-2d - 2L(d/dt(d)))/(2d)

Simplifying and plugging in the given values, we get:

-d/dt(cosθ) = (1/20)(-2(25)(3.5))/(25) = -0.245

Taking the derivative of the law of cosines with respect to time, we get:

-sinθ dθ/dt = (1/2hd)(-2d)(d/dt(d))

Plugging in the given values and solving for dθ/dt, we get:

dθ/dt = (-3.5/20)(sinθ) = -0.174

So the rate of change of the angle is -0.174 radians per second when there is a total of 25 feet of line out.

To find the velocity of the reel line, we can use the Pythagorean theorem:

(L² - h² - d²)¹/²= sqrt(25² - 10² - d²)

Taking the derivative with respect to time, we get:

d/dt(L² - h² - d²)¹/² = (1/2)(25² - 10² - d²)¹/²(-2d)(d/dt(d))

Plugging in the given values, we get:

d/dt(L² - h² d²)¹/² = -3.5(d/(25² - 100 - d²)¹/²)

Solving for d/dt, we get:

d/dt(L² - h² - d²)¹/² = -1.676

So the velocity of the reel line is 1.676 feet per second.

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The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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Answer:

Rs 12,500

Step-by-step explanation:

the price before VAT = 100/10 × Rs 5000 =

Rs 50,000

the price before discount = 50,000 / 80%

= 50,000/0.8 = 62,500

so the discount amount = 62,500-50,000

= Rs 12,500

If the statements offered as premises are true, and the conclusion follows naturally from those premises, then a deductive argument is considered to be valid

What is Function?

A function is a relationship between a number of inputs and outputs. A function is, to put it simply, an association between inputs where each input is linked to exactly one output. For each function, a domain, codomain, or range exists.

The values that are specified inside a function when the function is called are referred to as a "argument." However, the parameters are the variables that are defined when the function is declared.

true statement : all dogs have hair

true statement : clifford is a dog.

true statement : clifford has hair

Conclusion is true

If the statements offered as premises are true, and the conclusion follows naturally from those premises, then a deductive argument is considered to be valid. Deductive Argument based on logic ie reasoning out to get a valid inference.

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432

The equation for the line that passes through the point P=(9,8) and creates a triangle with the smallest possible area in the first quadrant is y = mx, where m is the slope of the line. This line generates the triangle with the smallest possible area in the first quadrant. The equation is b = 8 - 9m.

We need to make the area of the triangle as small as possible in order to solve for the equation of the line that will produce a triangle with the smallest possible surface area. The formula for determining the area of a triangle is A = 1/2 * base * height. This allows one to determine the area of a triangle.

In this particular illustration, the x-coordinate of the point P, which is 9, will serve as the base of the triangle. Therefore, the number 9 serves as the basis of the triangle.

Finding the line that goes through point P and makes a right triangle with its axes in the first quadrant is a necessary step in the process of reducing the area occupied by the figure. As a result of the fact that the triangle is located in the first quadrant, the value of the base as well as the height of the triangle will both be positive.

Let's assume the slope of the line passing through P is m. The height of the triangle can be calculated by finding the y-coordinate where the line intersects the y-axis, which is the point (0, b).

Using the slope-intercept form of a line (y = mx + b), we can substitute the coordinates of point P to find the equation of the line: 8 = 9m + b. Solving this equation, we can express b in terms of m as b = 8 - 9m.

Therefore, the equation of the line passing through P and forming a right triangle with minimal area is y = mx, where m is the slope of the line.

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Given:

The diameter of the semicircle is d= 2in.

The side of the square is a= 2in.

Required:

We need to find the perimeter of the given shape.

Explanation:

Recall that the perimeter of a two-dimensional figure is the distance covered around it.

The perimeter of the given shape is the sum of the length of arc of the semicircle and 3 sides of the square.

The perimeter of the given shape is

Consider the radius formula.

Substitute d =2 in the formula

Final answer:

The perimeter of the given shape is 9.14in.

The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

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I think it would be a and f :)

Answer:

a

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

\(\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}\)

Hope this helps.

Answer:

-3x^3+8x-6

step

p-q=5x^4+4x-3-(5x^4+3x^3-4x+3)=5x^4+4x-3-5x^4-3x^3+4x-3

=5x^4-5x^4-3x^3+4x+4x-3-3

=-3x^3+8x-6

Answer:

18 grams

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

28 divided by 14 equals 2

72 multiplied by 0.05^2 equals 18

The probability of playing 4 games is 17/77 . To construct a discrete probability distribution for the random variable x, we need to calculate the probability of each possible outcome (games played) .

Assign it to its corresponding value. Given the frequency data provided, we can calculate the probabilities as follows: Total number of games played: 17 + 14 + 20 + 26 = 77. (a) Constructed discrete probability distribution: x (games played) | P(x); 4 | 17/77 ≈ 0.221; 5 | 14/77 ≈ 0.182; 6 | 20/77 ≈ 0.260 ; 7 | 26/77 ≈ 0.338. The discrete probability distribution table shows the values of x (games played) and their corresponding probabilities, which are calculated by dividing the frequency of each outcome by the total number of games played.

For example, the probability of playing 4 games is 17/77, approximately 0.221, since there were 17 instances of 4 games played out of the total of 77 games played. Similarly, the probabilities for playing 5, 6, and 7 games are calculated based on their respective frequencies and the total number of games played.

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Answer:

1

Step-by-step explanation:

If this answer helped you then please mark it as brainliest so I can get to the next rank

Answer:

16

Step-by-step explanation:

(200*2)/25=16

The number of marbles that Leah has is: 48 marbles

Information about the problem:

To solve this problem we must establish the equation, isolate the variable following the rules of clearance and solve the operations:

Solving the equation we have:

1/3 x = 4/5 (x-28)

Simplifying the equation we have:

5(1x) = 3*[4*(x-28)]

5x = 12(x-28)

5x = 12x-336

336 = 12x-5x

7x = 336

x = 336/7

x = 48

Leah = x

Leah = 48

Dan = x - 28

Dan = 48-28

Dan = 20

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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Answer:

b

Step-by-step explanation:

Answer:

Hi! The answer to your question is B. 30 Trees

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer:

IM NOT SURE

Step-by-step explanation:

im not sure, but if the passwords are only letters, here is my reasoning:

26 letters in the alphabet

26 x 26 divided by 4 = 169 (lol) - not case sensitive

26 x 26 x 26  divided by 4= 4,394 - case sensitive

If a function f is differentiable at a point a and f(a) is not equal to zero, then the absolute value function |f| is also differentiable at that point.

The proof involves considering two cases based on the sign of f(a) and showing that the limit of the difference quotient exists for |f| at point a in both cases. However, it is important to note that |f| is not differentiable at the point where f(a) equals zero.

To prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a) ≠ 0, we need to show that the limit of the difference quotient exists for |f| at point a.

Let's consider the function g(x) = |x|. The absolute value function is defined as follows:

g(x) = {

x if x ≥ 0,

-x if x < 0.

Since f(a) ≠ 0, we can conclude that f(a) is either positive or negative. Let's consider two cases:

Case 1: f(a) > 0

In this case, we have g(f(a)) = f(a). Since f is differentiable at a, the limit of the difference quotient exists for f at point a:

lim (x→a) [(f(x) - f(a)) / (x - a)] = f'(a).

Taking the absolute value of both sides, we have:

lim (x→a) |(f(x) - f(a)) / (x - a)| = |f'(a)|.

Since |g(f(x)) - g(f(a))| / |x - a| = |(f(x) - f(a)) / (x - a)| for f(a) > 0, the limit on the left-hand side is equal to the limit on the right-hand side, which means |f| is differentiable at a when f(a) > 0.

Case 2: f(a) < 0

In this case, we have g(f(a)) = -f(a). Similarly, we can use the same reasoning as in Case 1 and conclude that |f| is differentiable at a when f(a) < 0.

Since we have covered both cases, we can conclude that if f is differentiable at a and f(a) ≠ 0, then |f| is also differentiable at a.

Note: It's worth mentioning that at the point where f(a) = 0, |f| is not differentiable. The proof above is valid when f(a) ≠ 0.

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Answer:

=[(2

2

)

3

×3

6

]×5

6

=2

6

×3

6

×5

6

=64×729×15625

=729000000

=3

6

×10

6

=30

6

The farmer will make 14 baskets containing each of 5 apples and 7 peaches.

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted {\displaystyle \gcd}.

here, we have,

How many baskets can be made which contain both apples and peaches and each basket should contain the same combinations of fruits?

Given:

A farmer harvests 70 apples and 98 peaches.

They want to make baskets that have both apples and peaches to sell at the market.

Each basket should contain the same combinations of fruit.

They want to sell all the apples and peaches and as many baskets as possible.

Find:

How many baskets can the farm make having x apples and y peaches in the baskets?

Solution:

So, for solving this kind of question first we have to find the greatest common factor, we get;

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

So, the farmer will make 14 baskets each of 5 apples and 7 peaches.

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