How do I graph a function

Answer:

bobabooey

Step-by-step explanation:

Answer:

180ft^2

Step-by-step explanation:

lw + lw + lw + bh

[ (11*2.5) + (6.5*11) + (6*11) <- Area of the rectangles ]

[ (6*2.5) <- Area of the Triangles ]

[ (11*2.5) + (6.5*11) + (6*11) ] = 165

[ 6*2.5 ] = 15

165 + 15 = 180

180ft^2

Answer:

100

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN

THEREFORE THE EQUATION WILL BE

\(y = (0)( - 6) - 2 \\ y = - 2\)

THE EQUATION IS

\(y = - 2\)

HOPE THIS HELPS

Answer:

The slope-intercept form would be: y = 0x - 2

There are 250 students enrolled in Math 1105 this semester at UMSL. The population in this situation is all UMSL students, so the correct option is c.

In this situation, the population refers to the entire group of interest from which the sample is drawn. It represents the larger group to which the findings are intended to be generalized.

The population in this scenario is C. All UMSL students. The goal is to determine the average number of hours a typical student has studied for Exam 3 for all students enrolled in Math 1105 at UMSL.

The survey was conducted among a sample of 40 classmates, which is a subset of the population. The findings from the sample are used to make inferences about the population as a whole.

By surveying a representative sample, the aim is to obtain insights that can be applied to the broader student population at UMSL.

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Since ABCD is an isosceles trapezoid, we know that AB = CD. Additionally, we know that AD = BC. Therefore, we can set up two equations:

AB = CD

AD = BC

Using the fact that B = x + 10 and C = 2x - 30, we can substitute those values into the equations:

AB = CD

x + 10 + AD = 2x - 30 + BC

Since AD = BC, we can simplify the second equation to:

x + 10 + AD = 2x - 30 + AD

x + 10 = 2x - 30

x = 40

Now that we know x, we can find the measures of angles B and C:

B = x + 10 = 50

C = 2x - 30 = 50

Since ABCD is an isosceles trapezoid, we know that angles B and C are congruent. Therefore, each of them measures 50 degrees. Since the sum of the angles in a quadrilateral is 360 degrees, we can set up the equation:

A + B + C + D = 360

Substituting in the values we have:

A + 50 + 50 + D = 360

Simplifying the equation:

A + D = 260

Since ABCD is an isosceles trapezoid, we know that angles A and D are congruent. Therefore, we can set up the equation:

A + D = 2D

Substituting in the value we have:

2D = 260

Simplifying the equation:

D = 130

Therefore, the measure of angle D is 130 degrees.

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Given the function f(x) = 4sin(3x + 1), the derivative

A. f'(x) = 4cos(3x + 1) + 3

B. f"(x) = -12sin(3x + 1)

The derivative of a function is the rate of change of a function.

Given the function f(x) = 4sin(3x + 1), to find the derivatives of the function (A) Find F′(X). (B) Find F′′(X) we proceed as follows.

(A) Find the derivative F′(X).

Since f(x) = 4sin(3x + 1),

Let u = 3x + 1

So, f(x) = 4sinu

differentiating with respect to x, we have that

f(x) = 4sinu

df(x)/dx = d4sinu/du × du/dx

= 4cosu × d(3x + 1)/dx

= 4cosu + d3x/dx + d1/dx

= 4cosu + 3 + 0

= 4cosu + 3

= 4cos(3x + 1) + 3

f'(x) = 4cos(3x + 1) + 3

(B) Find the derivative F′′(X)

Since f'(x) = 4cos(3x + 1) + 3.

Let u = 3x + 1

So, f'(x) = 4cosu + 3

Taking the derivative with respect to x, we have that

df'(x)/dx = d(4cosu + 3)/dx

= d4cosu/dx + d3/dx

= d4cosu/du × du/dx + d3/dx

= 4(-sinu) × d(3x + 1)/dx + 0

= -4sinu × (d3x/dx + d1/dx)

= -4sinu × (3 + 0)

= -4sinu × 3

= -12sinu

= -12sin(3x + 1)

So, f"(x) = -12sin(3x + 1)

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Let the number be x

Then -9 times the total of a number and 3​ will be

= -9 (x + 3)

The answer is Negative 12.

Answer:

i think it's the third one

The graph no. 3 is not the graph of a function of x

A function is a mathematical expression where there are two variables , one is dependent variable and the other is the independent variable.

Every function has a domain and a range.

After we've substituted the domain, the range of a function is the entire set of all potential outcome values of the dependent variable (typically y)

A function is generally denoted by f(x) where x is the input.

In the given graphs it has to be determined that which graph is not a function of x .

It can be clearly seen from the image and the options that the option C has the equation

y = c.

As the graph is not dependent upon the value of x .

Therefore the graph y = c , option C is not the graph of a function of x.

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Answer:

416

Step-by-step explanation:

Answer:

x = p (m - n)

Step-by-step explanation:

x/p + n = m

x/p = m - n

x = p (m - n)

I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.

Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.

If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.

To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.

Line 1 : y = -2x + 3

m = -2

slope of perpendicular line to line 1 = 1/2

Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4

m = -1/2

1/2 ≠ -1/2

Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

32

Step-by-step explanation:

Calculation for how much birdseed does she have left over

First step

(3*8*6*12) - 4-2*30

Second step

=[24+6*(10+2)] - 4-60

Third step

Let remove the bracket of (10+2)

=[24+6*10+6*2] - 4-60

Fourth step

=(24+60+12) - 4-60

Fifth step

=(84+12)-4-60

Sixth step

=96-4-60

Seventh step

=92-60

=32

Therefore the amount of birdseed that she have left over will be 32

The polygon above has 10 sides . It is an irregular decagon.

A polygon is defined as a shape that has equal side and interior angles while an irregular polygon is the polygon that has unequal sides and angles.

Typical examples of polygon include the following: Triangles, hexagons, pentagons, decagon, heptagon, nonagons. and quadrilaterals

From the shape given above, the polygon has ten sides and angles that are unequal in size. Therefore the shape given above is a typical example of an irregular decagon.

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The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only

When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.

By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.

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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.

when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.

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Answer:

Yes, I think you have the answer correct!

Step-by-step explanation:

I hope you make a good grade!

Answer:

(-1, 7)

Step-by-step explanation:

Reflecting something on the x axis means that the x stays the same, but the y is the opposite of itself.

So you get (-1, 5)

Then two units up makes it (-1, 7)

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

In order to solve a problem that begins with a negative number and is divided by a positive number, the answer must also be negative.

Divide 21 ÷ 7

we get = 3

Mark it as negative number = -3

Hope this helps :)

Answer: $350

Step-by-step explanation:

Hey there!

5 * p * 2

COMBINE the LIKE TERMS

= (5 * 2) * p

= 10 * p

SOLVE

= 10p

Therefore, your answer is: Option B. 10p

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

we need to rewrite the expression using the properties of exponential functions To convert the equation \( f(t) = 390e^{0.01t} \) to the form \( f(t) = ab^t \)

First, let's recall the property

\( e^x = (e^1)^x = e^1 \cdot e^x \).
Therefore, we can rewrite the given equation as

\( f(t) = 390 \cdot e^{0.01 \cdot t} = 390 \cdot (e^{0.01})^t \).

Now, we can see that

\( a = 390 \) and \( b = e^{0.01} \).
To find the values of \( a \) and \( b \)
Using a calculator, we find that

\( e^{0.01} \approx 1.010 \)

(rounded to three decimal places).
Therefore,

\( a = 390 \) and \( b = 1.010 \).

So, the equation

\( f(t) = 390e^{0.01t} \)

can be rewritten as

\( f(t) = 390 \cdot 1.010^t \)

, where \( a = 390 \) and \( b = 1.010 \).

accurate to three decimal places, we can use a calculator or a math software.

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the values of \( a \) and \( b \) are \( a = 390 \) and \( b \approx 1.010 \).

To convert the equation \( f(t) = 390 e^{0.01 t} \) to the form \( f(t) = a b^{t} \), we need to rewrite it using the properties of exponential functions.

First, let's write 390 as a product of two numbers, \( a \) and \( b \). We can express 390 as \( a \cdot b \), where \( a \) and \( b \) are positive real numbers.

Next, we observe that \( e^{0.01 t} \) can be written as \( (e^{0.01})^t \). This means that \( b = e^{0.01} \).

To find the value of \( a \), we substitute \( t = 0 \) into the equation: \( f(0) = a b^{0} = a \). Since \( f(0) = 390 \), we have \( a = 390 \).

Therefore, the equation can be written as \( f(t) = 390 (e^{0.01})^t \), or in simplified form \( f(t) = 390 \cdot e^{0.01 t} \).

So, the values of \( a \) and \( b \) are \( a = 390 \) and \( b \approx 1.010 \).

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The result of (f - g)(x) is 3x^2 - 2x - 1. There are no domain restrictions for this operation.

To compute (f - g)(x), we subtract the function g(x) from f(x).

Distributing the negative sign to g(x) yields -2x^2 - x + 2. Combining like terms with f(x) = 5x^2 - 3x + 1, we subtract the corresponding coefficients.

The resulting expression is (f - g)(x) = (5x^2 - 2x^2) + (-3x - (-x)) + (1 - 2) = 3x^2 - 2x - 1.

There are no domain restrictions for this operation, as both f(x) and g(x) are defined for all real numbers.

The resulting function represents the difference between f(x) and g(x) and can be used to analyze the behavior of the two functions when subtracted from each other.

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At the end, Ann saves a total amount of 3 dollars according to the money she spent and on allowance according to the percentages.

Total Allowance of Ann = 15 dollars

Spent on food by Ann = \(\frac{15}{100}\)*50

On food = 50 × \(\frac{15}{100}\) = 7.5 dollars

Spent on stationary = 30% of Allowance

On stationary = 30 X\(\frac{15}{100}\) = 4.5 dollars

Therefore, Money saved by Ann = Total Allowance - Money spent

Money saved = 15 dollars - 7.5 dollars - 4.5 dollars = 15-(7.5+4.5) dollars

Money saved = 3 dollars

Therefore, money saved by Ann is 3 dollars.

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