A certain triangle has a perimeter of 3084 ml. The shortest de mesures 79 miless than the middle and the longest de mature 379 more than the middle side. Find the length of the three sides

Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property

The expression that shows 7+21 written as a product of two factors is

7(1 + 3).

       a (b + c) = ab + ac

Where

a is the common factor

We are given the expression:

7 + 21

Splitting this into two factors using the distributive property

7 + 21

The common factor for 7 and 21 is 7

Hence, by factorising we have:

7 + 21 = 7(1 + 3)

Therefore, the expression that shows 7+21 written as a product of two factors is :

7(1 + 3)

The correct option is D

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Answer:

a. It is not possible to save any money this month without having a negative actual net income.

Step-by-step explanation:

Answer:

Predict how much money can be saved without having a negative actual net income.

a.   It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT

b.   $350 can be saved resulting in an actual net income of $0.

c.   $200 can be saved resulting in an actual net income of $75.

d.   Because there is a $75 budgeted net income, that $75 can be put towards savings.

Step-by-step explanation:

See pic. Edge 2021

Answer:

45%

Step-by-step explanation:

The domain of an ellipse refers to the set of all possible x-values that lie on the ellipse. It can vary depending on the specific characteristics of the ellipse, but it generally spans the entire real number line.

On the other hand, the domain of a hyperbola is more restricted. It consists of two separate intervals on the x-axis, each corresponding to one branch of the hyperbola. These intervals are determined by the asymptotes and the x-intercepts of the hyperbola.

The general formula for the domain of an ellipse is -a ≤ x ≤ a, where 'a' represents the distance from the center to the vertex along the major axis. This accounts for the fact that the ellipse is symmetric with respect to its center.

For a hyperbola, the domain is defined by the equation x < -a or x > a, where 'a' is the distance from the center to the vertex along the transverse axis. This indicates that the hyperbola has two distinct branches, one to the left and one to the right of the center.

In summary, the domain of an ellipse typically covers the entire real number line, while the domain of a hyperbola is split into two separate intervals determined by the asymptotes and x-intercepts of the hyperbola.

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We can find its derivative and evaluate it at x=36 to find the slope of the tangent line, and then use the point-slope formula to find the equation of the line.

To find the derivative of y = Vx, we use the power rule, which states that if y = xn, then y' = nx^(n-1). In this case, y = Vx⁽¹/²⁾, so y' = V(1/2)x(-1/2) = V/(2sqrt(x)). Evaluating this at x=36, we get y' = V/12. Therefore, the slope of the tangent line is m = V/12. Using the point-slope formula, we get the equation of the tangent line as y - 6 = (V/12)(x - 36).

In summary, to find the equation of the tangent line to the curve at the point (36,6), we first found the derivative of the function y = \(Vx^{1/2}\), which is y' = V/(2sqrt(x)). Evaluating this at x=36, we get y' = V/12, which is the slope of the tangent line. Using the point-slope formula, we then found the equation of the tangent line as y - 6 = (V/12)(x - 36).

To explain this answer in more detail, we can first note that the function

y = \(Vx^{1/2}\)  represents a square root function with a vertical stretch factor of V. This means that the graph of the function is a curve that starts at the origin and increases slowly at first, then more rapidly as x gets larger. The point (36,6) is on this curve, and we are asked to find the equation of the tangent line to the curve at this point.

To find the slope of the tangent line, we use the formula Mtan = lim f(x) - f(a)/ x-a\a, where f(x) is the function and a is the point where we want to find the tangent line. In this case, a = 36 and f(x) = Vx^(1/2), so we have \(Mtan=lim Vx^{1/2} - V(36)^{1/2}/ x-36/a\). We can simplify this expression by multiplying the numerator and denominator by the conjugate of the numerator, which is \(Vx^{1/2} +V(36)x^{1/2}\) As x approaches 36, we can use L' Hopital's rule to evaluate the limit, which gives us Mtan = V/12.

Now that we have the slope of the tangent line, we can use the point-slope formula to find the equation of the line. The point-slope formula states that if the slope of a line is m and a point on the line is (x1,y1), then the equation of the line is y - y1 = m(x - x1). In this case, the point is (36,6) and the slope is V/12, so the equation of the tangent line is y - 6

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Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

When regressing ÿj√n on j√√n, the error terms of this regression are homoskedastic. Homoskedasticity means that the variance of the error terms is constant across all levels of the independent variable.

To show that the error terms of this regression are homoskedastic, we need to demonstrate that the variance of the error terms is constant for all values of j√√n.

In the regression model, the error term is denoted as εj and represents the difference between the observed value ÿj√n and the predicted value of ÿj√n based on the regression equation.

If the error terms are homoskedastic, it implies that Var(εj) is the same for all values of j√√n.

To verify this, we can calculate the variance of the error terms for different levels of j√√n and check if they are approximately equal. If the variances are consistent across different levels, then we can conclude that the error terms are homoskedastic.

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Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

The probability of being dealt in a queen is 1/13.

To find the probability:

Therefore, the probability of being dealt in a queen is 1/13.

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Y=2/3x-1/3 is you slope intercept form of the equation

Answer:

Y=2/3x-1/3

Step-by-step explanation:

Answer:

The answer is 9.

Answer:

3/4 ×12 = 9

Multiple 3/4 by 12

And it Equal to 9

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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It will take approximately 10.24 years for the current balance in an account to triple in value at 8% compounded annually.

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Answer:

A=-1, B=2

Step-by-step explanation:

2a + 3b=4 equation 1

a-b=-3 equation 2

a=-3+b isolate a in equation 2

2(-3+b) + 3b=4. Substitute value of a in equation 2 (-3+b) into a value of  equ 1

-6+2b+3b=4

5b=10

b=2

solve for a:

a-b=-3

a-(2)=-3

a-2=-3

a=-1

Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling epidermidis. These aid by halting bacterial growth and infection spread.

A Gram-positive bacterium called S. epidermidis is a component of the flora of humans. Anaerobic bacteria are what it is. It promotes the growth of pathogens that are present in medical equipment. These may enter the bloodstream. Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling s. epidermidis.

Molds produce a class of antibiotics known as penicillium. Actinomycetes produce the antibody known as novobiocin, which has antibacterial characteristics. Gentamicin is one of the antibodies that can treat infections and aid in halting bacterial development.

Hence the answer is Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling epidermidis. These aid by halting bacterial growth and infection spread.

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Answer:

b = - 50

Step-by-step explanation:

Using F.O.I.L (First Outer Inner Last)

-5 × - 2x = 10x

-5 × 10 = - 50

10x - 50

10x - 50 = 10x + b

10x - 10x - 50 = b

b = - 50

List the multiples of each award:

24: 1 , 2, 3, 4, 6, 8, 12, 24

18: 1, 2, 3, 6, 9, 18

The greatest common multiple is 6

The greatest number of shelves will be 6.

The final solution is:

(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.

(2) the area of S=Φ(D): Area(S) = 514.39

(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82

What is the double integral?

A multiple integral is a definite integral of a function of several real variables, for instance, f or f.

1. Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v.

We can use this to get the tangent vectors by taking the respective partial derivatives.

Tu=<7, 1, 13> by taking the u derivatives of the components, and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>.

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30.

Multiply this by the magnitude of the normal vector to find that Area(S)=30√(294)

Area(S) = 514.39

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step.

Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (√294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6).

From here the problem can be integrated like any other double integral, the final answer being 190√(294).

Hence, The final solution is:

(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.

(2) the area of S=Φ(D): Area(S) = 514.39

(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82

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Complete Question:

Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8. Then: (a) Calculate Tu , Tv, and n(u,v). (b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6. (c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________

Answer:

0.27659574

Step-by-step explanation:

Answer:

The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

if the hemisphere has a diameter of 5.5, then its radius is half that or 2.75.

\(\textit{volume of a hemisphere}\\\\ V=\cfrac{2\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.75 \end{cases}\implies V=\cfrac{2\pi (2.75)^3}{3}\implies V\approx 44~cm^3\)

Answer:

cx

Step-by-step explanation:

Answer:

A

because if you divide them

Answer:

+ 7

Step-by-step explanation:

To find the nth term rule simply we just have to find the difference between the numbers

Difference between numbers

The difference between all our numbers is 7!

Hope this helps, have a lovely day! :)

Answer:

3/2 or 1 1/2

Step-by-step explanation:

.

Answer:

4

Step-by-step explanation:

because if 4 represents 2 meters than 4 plus 4 equals 8 which is two times

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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The length of each side of the courtyard is 25 meters. Then 35.36 meters long is each walkway.

In the given question, a school has a square courtyard and wants to create diagonal walkways.

The length of each side of the courtyard is 25 meters.

We have to find how long is each walkway.

By dividing the square in half to form a right triangle, you can find the solution. The Pythagorean theorem can then be used to find the hypotenuse.

According the Pythagorean Theorem

\(a^2+b^2 = c^2\)

\((25)^2+(25)^2=c^2\)

Now solving,

625 + 625 = \(c^2\)

\(c^2\) = 1250

Taking square root on both side, we get

c = 35.36 meters.

Hence, 35.36 meters long is each walkway.

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