2(x + 4) + 5( 6 - x)​

Step-by-step explanation: I had that q and got it right

The expression equivalent to the expression 2(3t + 4) is 6t + 8

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

2(3t + 4)

To start with, we need to open the bracket of the expression

so, we have the following representation

2 * 3t + 2* 4

Evaluate the products

6t + 8

hence, the equivalent expression is 6t + 8

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The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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The height of the trapezoid with an area of 25 units is 5 units.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

Given, Area = 25, b₁ = 2, and b₂ = 8 we have to determine the height.

Let's equate this information.

25 = (1/2)(2 + 8)×h.

25 = 5h.

h = 5 units.

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Answer:

1)

A) 0.541 or 0.54(by rounding)

B) 0.675

C)Yes, they are independent because someone doesnt have to attend prom to be a senior and vice versa

2)

a) 0.29

b) 0.04

c) Yes, they are independent because you do not have to live in Long Beach to recommend the provider and vice versa

Step-by-step explanation:

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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Answer:The answer would be 1/243

———————————————

In decimal form is would be: 0.00411522 . . .

Answer: 1/243

Step-by-step explanation:

3^-5=  1/(3^5) = 1/ (3*3*3*3*3) = 1/243

Answer:

$20

Step-by-step explanation:

She has 5 dollars originally, she sells 2 pillows for $10 each that = $20 and then she sold one for $5 but she spent a original $5 on material so $25 - $5 = $20

Answer:

43.6 has 3 significant figures.

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

\(\huge\text{Hey there!}\)

\(\bold{Factor: 3x^3 -7x^2+6x -14}\)

\(\bold{Step-by-step\downarrow}\)

\(\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}\)

\(\bold{= x^2(3x^{3-2}-7)+2(3x-7)}\)

\(\bold{= x^2(3x-7)+2(3x-7)}\)

\(\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}\)

\(\bold{= \underline{(3x -7)(x^2+2)}}\)

\(\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark\) \(\underline\bold{(Option\ C.)}\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

The formula for radioactive decay is:

N = N₀ * (1/2)^(t/T)

where:

N₀ = initial amount

N = remaining amount

t = time elapsed

T = half-life

Let's plug in the given values:

N₀ = 20 g

N = 15 g

T = 1620 years

15 = 20 * (1/2)^(t/1620)

Dividing both sides by 20:

0.75 = (1/2)^(t/1620)

Taking the logarithm base 1/2 of both sides:

log(0.75) = t/1620 * log(1/2)

Solving for t:

t = log(0.75) / log(1/2) * 1620

t ≈ 623 years

Therefore, it will take approximately 623 years for a 20 g sample of Radium to decay to 15 g.

Step-by-step explanation:

Answer:

Mr. Li

Step-by-step explanation:

$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission

$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.

\(\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k\)

\(\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k\)

\(\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k\)

At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.

As I mentioned in comments, if the i-component had instead been \(axy+bz^3\), we would have ended up with

\(\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k\)

in which case we would have b = 0.

I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,

\(\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy\)

\(\dfrac{\partial\Phi}{\partial y} = 3x^2 - z\)

\(\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y\)

Let's start with the last equation. Integrating both sides with respect to z yields

\(\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)\)

Now differentiate both sides with respect to y :

\(\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2\)

Integrate both sides of the latter PDE with respect to y to solve for g :

\(g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)\)

Now we differentiate Φ with respect to x :

\(\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0\)

Integrate to solve for h :

\(h(x) = \displaystyle \int 0 \, dx = C\)

where C is an arbitrary constant.

So the scalar function whose gradient is our "fixed" field f is

\(\Phi(x,y,z) = -yz + 3x^2y + C\)

Answer:

27x

Step-by-step explanation:

Answer:

(a) y-intercept: (0, -9) or y = -9

    zeros: (-3, 0) (3, 0) or x = -3, x = 3

    Axis of symmetry: x = 0

    vertex: (0, -9)

(b) y-intercept: (0, 4) or y = 4

    zeros: (2, 0) or x = 2

    Axis of symmetry: x = 2

    vertex: (2, 0)

(c) y-intercept: (0, 18) or y = 18

    zeros: (-3, 0) or x = -3

    Axis of symmetry: x = -3

    vertex: (-3, 0)

Step-by-step explanation:

(a)  \(y=(x-3)(x+3)\)

y-intercept:  when x = 0

\(\implies (0-3)(0+3)=-9\)

zeros:  when y = 0

\(\implies (x-3)(x+3)=0\)

\(\implies(x-3)=0 \implies x=3\)

\(\implies (x+3)=0 \implies x=-3\)

Axis of symmetry:  midpoint of the zeros

\(x=\dfrac{3-(-3)}{2}+(-3)=0\)

Vertex:  turning point of the curve, where x is the line of symmetry

\(\implies (0-3)(0+3)=-9\)

Therefore: (0, -9)

-----------------------------------------------------------------------------------------------

(b)  \(y=(x-2)(x-2)\)

y-intercept:  when x = 0

\(\implies (0-2)(0-2)=4\)

zeros:  when y = 0

\(\implies (x-2)(x-2)=0\)

\(\implies(x-2)=0 \implies x=2\)

with multiplicity 2

Axis of symmetry:  

As there is one zero with multiplicity 2,
the axis of symmetry is x = 2

Vertex:  turning point of the curve, where x is the line of symmetry

\(\implies (2-2)(2-2)=0\)

Therefore: (2, 0)

-----------------------------------------------------------------------------------------------

(c)  \(y=2(x+3)^2\)

y-intercept:  when x = 0

\(\implies 2(0+3)^2=18\)

zeros:  when y = 0

\(\implies 2(x+3)^2=0\)

\(\implies (x+3)^2=0\)

\(\implies (x+3)=0\)

\(\implies x=-3\)  with multiplicity 2

Axis of symmetry:  

As there is one zero with multiplicity 2,
the axis of symmetry is x = -3

Vertex:  turning point of the curve, where x is the line of symmetry

\(\implies 2(-3+3)^2=0\)

Therefore: (-3, 0)

By using the table of values, a graph of the exponential function is shown in the image below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the information provided above, we can logically deduce the following exponential function;

\(y = 2^x\)

Next, we would create a table of values based on the exponential function;

when x = 0, the y-value is given by;

y = 2⁰

y = 1

when x = 1, the y-value is given by;

y = 2¹

y = 2

x                     y____

-2                 0.25

-1                  0.5

0                   1

1                    2

2                   4

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Answer:

C.

Step-by-step explanation:

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer:

\( \angle CBF\)

\( \angle GBE\)

Step-by-step explanation:

\( \angle CBF\) is supplementary to \( \angle CBE\)

\( m\angle CBF + \angle CBE = 180\degree \)

\( \angle GBE\) is also supplementary to \( \angle CBE\)

\( m\angle GBF + \angle CBE = 180\degree \)

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Step-by-step explanation:

(2×8² - 2²×8)/(2×8)

before we start typing things into the calculator, we see that the fraction can be simplified :

(2×8² - 2²×8)/(2×8) | divide top and bottom by 2

(8² - 2×8)/8 | divide top and bottom by 8

(8 - 2)/1 = 6/1 = 6

Answer:

A:

Multiple: 3 * 5 = 15

Add: 7 + the result of step No. 1 = 7 + 15 = 22

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20

Add: the result of step No. 4 + 3 = 20 + 3 = 23

B:

Add: 7 + 3 = 10

Multiple: the result of step No. 1 * 5 = 10 * 5 = 50

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48

Add: the result of step No. 4 + 3 = 48 + 3 = 51

9514 1404 393

Answer:

  a) 23

  b) 26

Step-by-step explanation:

a) Perform the multiplication and division first, then the addition.

  7 + 3·5 -4÷2 +3

  = 7 +15 -2 +3

  = 23

__

b) Evaluate parentheses first, then the rest of it. The multiplication and division are done before the addition at the same level.

  ((7 +3)·5 -4)÷2 +3

  = (10·5 -4)÷2 +3

  = (50 -4)÷2 +3

  = 46÷2 +3

  = 23 +3

  = 26

_____

Additional comment

An appropriate calculator can evaluate these for you. The Go.ogle calculator reliably follows the order of operations. You can use an asterisk (*) for multiplication with that calculator.

Answer:

red: 50%

blue: 25%

the total chance is 75%