factors of 12 simplify 3/4-1/3+1/2​

Answer:

3 ways to right it. (1.) 572/15 (2.) 38.33333 repeating (3.) 38 2/15

Step-by-step explanation:

Perimeter means you add all the sides.

Step 1. Convert them to improper fractions

7 2/5 - 37/5

11 2/3 - 35/3

Step 2. Combine fractions with similar denominators.

37/5 + 37/5 & 35/3 + 35/3

74/5 & 70/3

Step 3. Find Common denominators.

74/4 x 3/3 & 70/3 x 5/5

222/15 & 350/15

Step 4. Add.

222/15 + 350/15

572/15

Answer: do u want my love

Step-by-step explanation:

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Answer:

Step-by-step explanation:

The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.

The ormua for calculating mid point is expressed as;

M(X,Y) ={(x21+x2/2, y1+y2/2}

X= x1+x2/2

Y = y1+y2/2

From the coordinates

x1 = 18 x2 = 4

X= 18+4/2

X = 22/2

X = 11

y1= -13, y2= -3

Y = -3-13/2

Y = -16/2

Y = -8

Hence the required centre will be at (11,-8)

Answer:

Step-by-step explanation:

Can you show me all other answer choices? I know obviously that A) isn't the right answer.

Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)

Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,

R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²

The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².

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Answer:

x=15

Step-by-step explanation:

we know that 8x+4x= 180 so then we add 8x to 4x and we get 12x then we divide 180 by twelve and 12x by twelve to get that x=15

The value of the fraction -5/7 and -4/7 added and subtracted from the fraction -21/2 added to 1/22 is 64/77.

The sum of 1/2 and -21/22 can be found by finding a common denominator,

1/2 = 11/22 (since 11 x 2 = 22)

-21/22 = -21/22

Therefore, the sum of 1/2 and -21/22 is,

= 11/22 - 21/22

= -10/22 = -5/11

The sum of -4/7 and -5/7 is,

-4/7 - 5/7 = -9/7

Now, subtracting as asked in the question.

= (-5/11)-(-9/7)

= (-5/11)+(9/7)

Finding common denominator to add the fractions,

7 x 11 = 77

(-5x7)/(11x7)+(9x11)/(7x11)

= -35/77 + 99/77

Now, we can combine the numerators,

-35/77 + 99/77 = 64/77

Therefore, the final answer is 64/77.

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The solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

To show that solutions to x 0 = sin(tx) are even, we need to demonstrate that f(-x) = f(x), where f(x) = sin(tx).

First, let's evaluate f(-x):

f(-x) = sin(t(-x))

Using the property of sine function, we can rewrite this as:

f(-x) = -sin(tx)

Now let's evaluate f(x):

f(x) = sin(tx)

We can see that f(-x) = -f(x), which means that f(x) is an odd function.

However, we want to show that f(x) is an even function. To do this, we need to show that f(x) = f(-x).

Substituting the value of f(-x) in f(x) we get:

f(x) = -sin(tx)

f(-x) = -sin(tx)

We can see that f(x) = f(-x), which means that f(x) is an even function.

Therefore, we have shown that solutions to x 0 = sin(tx) are even.
Hi! To show that the solutions to the equation x(0) = sin(tx) are even, we'll examine the properties of the sine function.

Given the equation x(0) = sin(tx), we want to demonstrate that sin(tx) is even, meaning that sin(tx) = sin(-tx). This can be shown by using the properties of sine and even functions.

Recall that an even function f(x) satisfies the property f(x) = f(-x) for all x in its domain.

Now, consider the sine function sin(-tx). Using the oddness property of sine, we can rewrite this as sin(-tx) = -sin(tx). Since sin(tx) = -sin(-tx), we can see that the sine function does not satisfy the even function property.

Therefore, the solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

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Answer:

2x + 2

Step-by-step explanation:

Given

\(\frac{x^3+2x^2}{x}\) ( divide each term on the numerator by x )

= x² + 2x

Differentiate each term using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\) , then

\(\frac{d}{dx}\) (x² + 2x ) = 2x + 2

Answer:

2.71

Step-by-step explanation:

Its as simple as plugging in the values of y and z.

THis would give you

      -1.46 + (-3.82) + 7.99

This plus^ you can think about having a 1 in front of it like

-1.46 + 1 (-3.82) +7.99

Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:

-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71

Answer:

2.71

Step-by-step explanation:

We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.

We'll then take our -5.28 and add 7.99, which will become 2.71.

Therefore, 2.71 is your answer.

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

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The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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Answer:

#4. linear

#5. quadratic

#6. exponential

#7. inverse

f(x) = 4sin(x²+47) is continuous everywhere, there are no intervals on which it is discontinuous. In other words, the function has no sudden jumps or breaks in its graph, and it can be graphed smoothly for all real values of x.

The function f(x) = 4sin(x²+47) is continuous for all real values of x. To understand why, we need to review the definitions of continuity and trigonometric functions.

A function f(x) is continuous at a point x = a if the limit of f(x) as x approaches a exists and is equal to f(a). A function is continuous on an interval (a,b) if it is continuous at every point between a and b.

The sine function sin(x) is a periodic function that oscillates between -1 and 1 as x varies from negative infinity to positive infinity. It is also a continuous function, meaning it does not have any sudden jumps or breaks in its graph.

The function inside the sine function in f(x) = 4sin(x²+47), namely x²+47, is also continuous for all real values of x. This is because it is a quadratic function, which is a smooth, continuous curve. Therefore, the composition of these two continuous functions, sin(x²+47) and 4sin(x²+47), is also continuous for all real values of x.

Since f(x) = 4sin(x²+47) is continuous everywhere, there are no intervals on which it is discontinuous. In other words, the function has no sudden jumps or breaks in its graph, and it can be graphed smoothly for all real values of x.

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Answer:

4x^2 + 12y

Step-by-step explanation:

x + 7y + 4x^2 - x + 5y

4x^2 + 12y

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

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Answer:

its 21

Step-by-step explanation:

The first step of calculating the iterated integral involves finding the inner integral by integrating the integrand with respect to the variable x while considering y as a constant. This yields x + 2xy²

To calculate the iterated integral ∫∫(1 + 4xy) dxdy, we follow the process of integrating the inner integral first. In this case, x is treated as the variable while y is considered a constant.To find the inner integral, we integrate (1 + 4xy) with respect to x. Treating y as a constant, we obtain the integral ∫(1 + 4xy) dx. Integrating this expression yields x + 2xy² as the result.

Now, we have an expression for the inner integral: x + 2xy². The next step is to integrate this result with respect to y while considering the limits of integration for y. Without specific limits provided, we cannot determine the exact values for the integral. However, we can express the iterated integral in terms of the variable y, resulting in ∫(x + 2xy²) dy.

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The equation of the hyperbola is (y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

To find the equation of the hyperbola, we need to determine its center, vertices, and foci.

Given:
Vertices: (2, 5) and (2, -3)
Foci: (2, 10) and (2, -8)

The center of the hyperbola is the midpoint between the vertices, which can be found by averaging their x-coordinates and y-coordinates:

Center: (2, (5 + (-3))/2) = (2, 1)

The distance between the center and the vertices is denoted by "a". In this case, the distance is the absolute value of the difference between the y-coordinates of the center and one of the vertices:

a = |1 - 5| = 4

The distance between the center and the foci is denoted by "c". In this case, the distance is the absolute value of the difference between the y-coordinates of the center and one of the foci:

c = |1 - 10| = 9

The relationship between "a", "b", and "c" in a hyperbola is given by the equation:

c^2 = a^2 + b^2

Solving for "b^2", we have:

b^2 = c^2 - a^2
= 9^2 - 4^2
= 81 - 16
= 65

Now we have all the necessary information to write the equation of the hyperbola in standard form:

For a horizontal hyperbola:

(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1

For a vertical hyperbola:

(y - k)^2 / a^2 - (x - h)^2 / b^2 = 1

Since the given foci have the same x-coordinate, the hyperbola is vertical. Plugging in the values:

(y - 1)^2 / 4^2 - (x - 2)^2 / √65 = 1

Simplifying, we have:

(y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

Therefore, the equation of the hyperbola is:

(y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

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Using the Side Angle Side Theorem, ∆KWL ≅ ∆ALW.

In the given question we have to

Prove: ∆KWL ≅ ∆ALW

Given: ∠KWL ≅ ∠WLK, ∠AWL ≅ ∠WLK

As given that

∠KWL ≅ ∠WLK

∠AWL ≅ ∠WLK

WL = WL (Diagonal)

Equal Parallel Sides

WK = AL

WA = KL

From Corresponding Angle Theorem

∠KWL=∠WLK and ∠AWL = ∠WLK

So ∠W=∠L

So from the Side Angle Side(SAS) Theorem

∆KWL ≅ ∆ALW.

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Answer:

4^8

Step-by-step explanation:

If you are multiplying two bases that are the same with different exponents, the exponents get added and the base stays the same:

\(x^a*x^b=x^{a+b}\\\\4^3*4^5=4^{3+5}\\\\4^3*4^5=4^8\)

Therefore, 4^3 * 4^5 = 4^8

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

There were 508 drones, 541 nurses and 3060 workers.

Step-by-step explanation:

Total number of bees = 4109

Let the number of drones, nurses and workers be represented by x, N and W respectively.

But,

N = x + 33 .......... 1

W = 6x + 12 .......... 2

So that,

x + (x + 33) + (6x + 12) = 4109

x + x + 33 + 6x + 12 = 4109

8x + 45 = 4109

8x = 4064

x = \(\frac{4064}{8}\)

  = 508

x = 508

From equation 1,

N = 508 + 33

  = 541

N = 541

From equation 2,

W = 6x + 12

   = 6(508) + 12

   = 3060

W = 3060

   = 3060

In the hive, there were 508 drones, 541 nurses and 3060 workers.

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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The original price of the motorcycle is approximately $7,987.

Here, we are given that p represent the motorcycle’s original price.

The sale price of Dealer A will be-

7.5% less that the original price

= 92.5% of p

= 0.925p

Similarly, the sale price of dealer B will be-

$599 less than original price

= (p - 599)

Now, these two prices are equal, so we can equate the two-

0.925p = (p - 599)

0.925p = p - 599

0.925p - p = -599

-0.075p = -599

p = -599/-0.075

p = 599/0.075

p = 599000/75

p = 7,986.67

Thus, the original price of the motorcycle comes out to be approximately $7,987.

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Answer:

cone,258

Step-by-step explanation:

i got it right