What are the coordinates of the vertex of the graph? Is it a maximum or a minimum?

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The modulus of rupture (MOR) can be calculated by dividing the maximum load by the section modulus. The section modulus for a rectangular cross-section is (width * height^2)/6.

In this case, the width is 2 inches and the height is 4 inches, so the section modulus is (2 * 4^2)/6 = 5.33 in^3. Therefore, the MOR = 240 kips / 5.33 in^3 = 45 kpsi.

The apparent modulus of elasticity (MOE) can be calculated using the formula MOE = (F * L^3) / (4 * h * d^3 * delta), where F is the maximum load, L is the span length, h is the height of the wood, d is the depth of the wood, and delta is the deflection at mid-span. Plugging in the values given, we get MOE = (240 kips * 4^3) / (4 * 4 * 2^3 * 2.4 in) = 1,333 kpsi. Therefore, the apparent MOE for the 2 * 4 wood lumber is 1,333 kpsi.

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The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

Your question is incomplete but maybe your full question attached below

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Answer:

17 i think

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

double 5 is 10

10+3=13

13 multiplied by 4=52

Answer:

a) 3/5, 60%

b) 1/15, 0.07

c) 9:1, The ratio means that Jack had spent 9 times more money on shoes than on music, 9/1

Step-by-step explanation:

a) The ratio would be 45:75, simplifying that would be 3/5. Now,  3 divided by 5 is .6, which would be 60%.

b) This ratio would be 5:75, simplifying that would be 1/15. 1 divided by 15 is 0.0666666. Rounding it to the nearest hundreth would get you 0.07

c) The ratio of shoes money and music money would be 9:1. You can find this by making the denominators of each of the fractions the same, so 3/5 multiplied by 3 gets you 9/15. Now, you can easily compare them.

Answer:

Fghcv

Step-by-step explanation:

Gvhv

If the second-order differential equation is y'' − 8y' 7y = 0, then the general solution for this equation is equals to the

\(y = c_1e^{7x} + c_2 e^{x} \).

We have a second-order differential equation, y'' − 8y' + 7y = 0 --(1)

We have to determine the general solution of equation (1). As we see, the LHS is equals to zero so it is called linear homogeneous second-order differential equation with constant coefficients. The equation has an easy solution. Now, write the auxiliary equation for equation (1).

=> m² - 8m + 7 = 0, which is an quadratic equation. We solve the above equation of variable m. Using the Middle term splitting method, m² - 7m - m + 7 = 0

=> m( m - 7) -1 ( m - 7) = 0

=> (m- 7)( m - 1) = 0

either m - 7 = 0 or m - 1 = 0

=> m = 7 or 1

That is roots are real and positive, so the general solution for equation(1) is written as \(y = c_1e^{7x} + c_2 e^{x} \).

Hence, required general solution is

\(y = c_1e^{7x} + c_2 e^{x} \)

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Answer:

M = 60, N = 24

Step-by-step explanation:

2m = 4m - 120

120 = 2m

m = 60

2m = 5n (since 5n = 4m - 120 and 4m - 120 = 2m)

2(60) = 5n

n = 120/5

n = 24

Therefore the Answer is : M=60, N=24

Three problems would arise if the frequency of scrum was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.

It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.

If the frequency was reduced to every two or three days, there would be three issues.

(A) The chances to review and modify the Sprint Backlog may be missed.

(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.

(C) Too much time is spent before meetings updating the scrum board.

Therefore, three problems would arise if the frequency was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

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The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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Answer:

137

Step-by-step explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the  m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137

Answer:

20%

Step-by-step explanation:

The number of liters it would take to cover 120 km is 8 liters.

Looking at the graph that shows the liters consumed per kilometer, or rather the number of kilometers per liter, we see that each liter enables to car to go for 15 km.

This means that if we should want to go 120 km, the number of liters needed would be:

= Distance to cover / Kilometers per liter

Distance to cover = 120 km

Kilometers per liter = 15 km

The liters needed are:

= 120 / 15

= 8 liters

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Answer:false

Step-by-step explanation:

Megan will take 13.44 hours to finish planting the two garden beds by herself.

Together, Megan, her mother, and her father can plant 1 + 2 + 1.3 = 4.3 garden beds in 8 hours.

Since Megan's father leaves after 3 hours, Megan and her mother work together for an additional 8 - 3 = 5 hours.

In that time, they plant 4.3 * (5/8) = 2.68 garden beds.

After Megan's mother leaves, Megan has 1 - 2.68 = -1.68 garden beds left to plant.

Since Megan can plant 1 garden bed in 8 hours, it will take her (-1.68/1) * 8 = -13.44 hours to finish planting the two garden beds by herself.

However, since time cannot be negative, we can ignore the negative sign and say that it will take Megan 13.44 hours to finish planting the two garden beds by herself.

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Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

Answer:

loss=B.price-S.price

$28899-$17580=$11319

Percentage profit=profit/B.price*100%

$11319/28899*100=$385.20

Step-by-step explanation:

Restaurant A offers the best value as one hamburger is $1.29

The first step is to calculate the price of one burger in restaurant A

11= 14.19

1= x

cross multiply

11x= 14.19

x= 14.19/11

x= 1.29

The next step is to calculate the price on one burger in restaurant B

2= 2.64

1= x

Cross multiply

2x= 2.64

x= 2.64/2

x= 1.32

Hence the price of the hamburger at Restaurant A is $1.29 and the price at Restaurant B is $1.32.

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Answer:

(A) Restaurant A for $1.29

Step-by-step explanation:

Got it right on my quiz.

Answer:

pi/2

Step-by-step explanation:

We know that,

Length of arc=r*(theta) where r=radius and theta is angle

Given- unit circle, it means  circle have raduis=1

       Theta=90° or (pi/2)

Hence,

Length of arc is = 1*(pi/2)

                            = pi/2

Hence option two is correct

Answer:

I would say y= -4x + 3 but since they said with the y-intercept of 0 then it'll become y= -4x.

Step-by-step explanation:

By evaluating integral ∫∫s (x^2z + y^2z)dS using the Divergence Theorem we get ∫∫s (x^2z + y^2z)dS = ∫(-2,2) ∫(0,2π) [(u^2cos^2(v) + u^2sin^2(v))(16-u^2)/(u+v)](16-u^2)/(u+v)√2 dudv.

Now, let us evaluate the given integrals one by one: 1. Evaluate ∫∫s (x^2z + y^2z)dS where S is part of the plane z = 4 + x + y that lies inside the cylinder x^2 + y^2 = 4. We know that the equation of the plane is z = 4 + x + y. Let us rearrange it in the form of x + y - z = -4. The equation of the cylinder is x^2 + y^2 = 4.

Therefore, the equation of the given surface can be written as x^2 + y^2 + (x+y+4)z = 16. To evaluate the given integral, we need to find the normal vector to the surface. Since the equation of the surface is in the form of ax + by + cz = d, the normal vector is given by the coefficients of x, y, and z. Therefore, the normal vector is <2x + 2y, 2x + 2y, -16>.

Using the parametric form of the surface, we get:r(u, v) = dS = ||r_u × r_v|| dudv = ||<-sin(v)(16-u^2)/(u+v)^2, cos(v)(16-u^2)/(u+v)^2, u>|| dudv = (16-u^2)/(u+v)√2 dudv

Integrating over the region S, we get:∫∫s (x^2z + y^2z)dS = ∫(-2,2) ∫(0,2π) [(u^2cos^2(v) + u^2sin^2(v))(16-u^2)/(u+v)](16-u^2)/(u+v)√2 dudv

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Answer:

1/15x^2(x-360)

Step-by-step explanation:

Answer:

force = work/distance

force = 900/5

force = 180 N

The accurate answer is:

A. A=[0 0; -9 4], B=[0; 8], C=[1 0; 0 -3;], and D=[-9 0; 0 -3]

Explanation:

A matrix represents the coefficients of the state variables in the state-space equations. Based on the given state-variable models, we have x·1 = -9x1 + 4x2 and x·2 = -3x2 + 8u. Therefore, the matrix A would be [0 0; -9 4], representing the coefficients of x1 and x2 in the state equations.

B matrix represents the coefficients of the input variable (u) in the state-space equations. Based on the given state-variable models, we have x·1 = -9x1 + 4x2 and x·2 = -3x2 + 8u. Therefore, the matrix B would be [0; 8], representing the coefficient of u in the state equations.

C matrix represents the coefficients of the state variables in the output equation. Based on the given state-variable models, the outputs are x1 and x2. Therefore, the matrix C would be [1 0; 0 -3], representing the coefficients of x1 and x2 in the output equations.

D matrix represents the coefficients of the input variable (u) in the output equation. Based on the given state-variable models, the outputs are x1 and x2, and there is no direct dependence on the input u in the output equations. Therefore, the matrix D would be [0 0; 0 0], representing no direct dependence of u in the output equations.

The red angle is also greater than 90 degrees but is closer to 90 degrees than the blue angle.

An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The rays are called the sides of the angle. Angles are typically measured in degrees or radians, and are denoted using the symbol "∠".

Here the blue angle is greater than 90 degrees, but we need to find an angle that is also greater than 90 degrees and closer to 90 degrees than the blue angle.

Since the blue angle is obtuse (greater than 90 degrees), we need to look for an acute angle (less than 90 degrees) that is closer to 90 degrees than the blue angle.

Looking at the figure, we can see that the red angle appears to be the closest to 90 degrees. The red angle is acute and seems to be closer to 90 degrees than the blue angle.

Therefore, the answer is the red angle.

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The new position of the submarine in relation to sea level is -1200 feet (below sea level).

The initial position of the submarine is -1260 feet below sea level, and it descends at a rate of 5 feet per minute for 12 minutes. To calculate the new position of the submarine in relation to sea level, we can use the formula: New position = Initial position - (rate of change x time).

By substituting the given values into the formula, we can calculate the new position:

New position = -1260 - (-5 x 12)

New position = -1260 + 60

New position = -1200 feet

Therefore, the new position of the submarine in relation to sea level is -1200 feet below sea level.

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Answer:

The Highest Common Factor is 20

Step-by-step explanation:

Aquí le mostraremos paso a paso como hallar el Máximo Común Divisor de 120 y 180. (mcd de 120 y 180) Paso 1: Creamos una lista de todos los divisores de 120, que incluye 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, y 120. Paso 2: Siguiente, creamos una lista de todos los divisores de 180, que incluye 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, y 180. Paso 3: Finalmente, comparamos las listas de Paso 1 y Paso 2 y hallamos que el mayor número que tienen en común es 60. Esto significa que el Máximo Común Divisor de 120 y 180 es 60. MCD de 120 y 180 = 60

Answer:

it would be x>25 because it would either be up to 25 questions or less