ill mark brainlist plss help

Ill Mark Brainlist Plss Help

Answers

Answer 1

Answer:

A) 3.6 in.

Step-by-step explanation:

36/10 = 3.6

Answer 2

Answer:

it's 3.6in because if you take 36 and divide it by that 10 it's 3.6. Which leads to your answer 3.6in.


Related Questions

What is the sign of -9 times (0/-3)

Answers

Answer:

  no sign

Step-by-step explanation:

The value of the product is ...

  \(-9\times\dfrac{0}{-3}=\dfrac{-9\cdot 0}{-3}=0\)

The value 0 has no sign. It exists between positive and negative numbers. It is neither positive nor negative.

__

We prepend a minus sign to negative numbers. The value 0 is usually written without such a sign, so might be considered to have a sign of +, just because it isn't –.

Let f ( x ) = 2 √ x If g ( x ) is the graph of f ( x ) shifted down 3 units and left 4 units, write a formula for g ( x )

Answers

The required formula for given transformation is  2√(x - 4) - 3.

What is graphing?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

According to question:

The formula for the function g(x) can be found by applying the transformations to f(x):

Shift down 3 units: g(x) = f(x) - 3

Shift left 4 units: g(x - 4) = f(x) - 3

So, the formula for g(x) is:

g(x) = f(x - 4) - 3

= 2√(x - 4) - 3.

Thus, required formula is 2√(x - 4) - 3.

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What does x equal in the problem?

What does x equal in the problem?

Answers

Answer:4

Step-by-step explanation:

Just look at it. Pretty sure it's 4. .-.

i’m pretty sure the answer is 4

solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there are an infinite number of solution, write each coordinate in terms of z . z. x 7

Answers

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

Whais the explanation?

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Part of a roof is in the shape of a trapezoid, and it needs to be covered in shingles.

A trapezoid with base lengths of 10 meters and 15 meters, and height 5.5 meters.

How much area needs to be covered in shingles?

27.5 m2
41.25 m2
68.75 m2
137.5 m2

Answers

Answer:

68.75 m²

Step-by-step explanation:

Area Trapezoid = 1/2(base 1 + base 2)(h)

Solve:

1/2(10 + 15)(5.5)1/2(25)(5.5)1/2(137.5)68.75

The area is 68.75 m²

-Chetan K

Answer:

68.75 m2

Step-by-step explanation:

Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the matrices cannot be multiplied, enter NONE in each answer blank.) 7 -5 2 -9 2 - 7 1 -3 2 -10 10 [1 110]

Answers

The given matrices are a 3x2 matrix and a 2x1 matrix, which means they can be multiplied. To perform the multiplication, we need to multiply the corresponding elements in each row of the first matrix with the corresponding elements in each column of the second matrix and add the products.

The resulting matrix will be a 3x1 matrix, which means it will have 3 rows and 1 column.

Performing the multiplication, we get:
[7 -5]   [1]    [(7x1) + (-5x2)]   [(-5)]
[2 -9] x [2]  = [(2x1) + (-9x2)] = [-16]
[1 -3]   [10]   [(1x1) + (-3x2)]   [-17]
Therefore, the resulting matrix is:
[ 1 ]
[-16]
[-17]
So, the answer to the given problem is:
[ 1 ]
[-16]
[-17]

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what is log base 2 calculator

Answers

A log base 2 calculator calculates the logarithm of a number with respect to base 2.

A tool that helps in calculating a number's logarithm in relation to base 2 is a log base 2 calculators. A base must be increased to the logarithm, or exponent, in order to yield a given number.

The base in this situation is 2, and the exponent to which 2 must be increased in order to equal the supplied number is the logarithm. The base-2 logarithm offers a measure of the number of bits necessary to express a particular amount, making it important in computer science, information theory, and other fields that need computations involving binary integers.

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En una encuesta, en un barrio se han contado 35 casas. Tres quintos de las casas tienen energía eléctrica. De estos, dos tercios tienen internet.

Answers

Responder:

21 casas;

2/5

Explicación paso a paso:

Dado que :

Total de casas = 35

Fracción con electricidad = 3/5

Número de casas con electricidad:

Fracción con electricidad * número de casas

3/5 * 35 = (3 * 35) / 5 = 105/5 = 21 casas

Fracción de todas las casas con internet:

2/3 de las casas con luz tienen internet

2/3 * 21 = 42/3 = 14 casas

14/35 = 2/5

Por lo tanto, Fracción de todas las casas con internet = 2/5

can someone help me with this asapp

can someone help me with this asapp

Answers

Answer:

I think it's 2,1 forgive me if it's wrong

Write 2 expressions that canbe used to find the value of x.

Write 2 expressions that canbe used to find the value of x.

Answers

The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

\(\begin{gathered} \cos 25=\frac{Adj}{Hyp}=\frac{x}{11} \\ \\ \cos 25=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\cos 25 \end{gathered}\)

One of the required expressions is:

\(x=11\cos 25^o\)

Similarly, taking 65 degrees as the angle of interest, we have

\(\begin{gathered} \sin 65=\frac{opp}{Hyp}=\frac{x}{11} \\ \\ \sin 65=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\sin 65 \end{gathered}\)

The other required expression for finding x is:

\(x=11\sin 65^o\)

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees

A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?

Answers

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Are the lines parallel? y=4x+4 and y=-4x-2

Answers

Answer: Yes

Step-by-step explanation:

When a flame suddenly contacts one side of a glass pane while the unexposed side is relatively cool, a stress can develop between the two faces and the glass can fracture between the faces. _____ is a term used in the fire investigation community to describe a complicated pattern of short cracks in glass arising from this condition.

Answers

Stress fracturing is a term used in the fire investigation community to describe a complicated pattern of short cracks in glass arising from this condition.

When a flame comes into contact with one side of a glass pane, it heats that side, causing it to expand. At the same time, the unexposed side of the glass remains relatively cool and does not expand as much. This temperature gradient creates non-uniform expansion and differential stresses within the glass. As a result, the glass may fracture between the faces, forming a complex pattern of short cracks.

Stress fracturing is a phenomenon commonly observed in fire investigations, particularly in situations where rapid heating or cooling of glass occurs. It is important to understand and analyze these patterns to gain insights into the behavior of glass under fire conditions and to help determine the sequence of events during a fire incident.

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The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

Answers

The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.

In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:

The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.

As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.

\($$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$\)

Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

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What is 56/5 simplest form???

Answers

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Is square root of 4 a polynomial?

Answers

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Given △FGH ~ △LMN, select all the statements that are true. There are only 3 answers

Given FGH ~ LMN, select all the statements that are true. There are only 3 answers

Answers

Given △FGH ~ △LMN,  all the statements that are true are options A, B , C and E

How to solve for the true statements

Since the two triangles are similar, their corresponding angles are going to be congruent and the sides would be proportional as well. This makes A correct

Given that FH ~ LN then the second option is correct

Option C is correct due to the definition of singularity

Option E is correct because ∠H ≅ m∠N

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you know that cabinet x costs $10 per unit, requires 6 square feet of floor space, and holds 8 cubic feet of files. cabinet y costs $20 per unit, requires 8 square feet of floor space, and holds 12 cubic feet of files. you have been given $140 for this purchase, though you don't have to spend that much. the office has room for no more than 72 square feet of cabinets. how many of which model should you buy, in order to maximize storage volume (cubic feet)

Answers

To maximize storage volume within the given constraints, purchase 10 cabinets of model X and 3 cabinets of model Y, resulting in a maximum storage volume of 116 cubic feet.

Maximize storage volume while considering the given constraints, we can set up a linear programming problem. Denote the number of cabinets of model X as "x" and the number of cabinets of model Y as "y".

Objective

Maximize Z = 8x + 12y (since we want to maximize storage volume in cubic feet)

Constraints

Cost Constraint: 10x + 20y ≤ 140 (total cost should not exceed $140)

Floor Space Constraint: 6x + 8y ≤ 72 (total floor space should not exceed 72 square feet)

Non-negativity Constraint: x ≥ 0, y ≥ 0 (we cannot have a negative number of cabinets)

We can graph these constraints on a coordinate plane and find the feasible region, the region where all constraints are satisfied. The optimal solution will lie on one of the corner points of this feasible region.

Solving the equations for the corner points of the feasible region:

(x, y) = (0, 0)

Z = 8(0) + 12(0) = 0

(x, y) = (0, 9)

Z = 8(0) + 12(9) = 108

(x, y) = (7, 0)

Z = 8(7) + 12(0) = 56

(x, y) = (4, 6)

Z = 8(4) + 12(6) = 104

(x, y) = (10, 3)

Z = 8(10) + 12(3) = 116

Comparing the Z-values, we find that the maximum value of Z (storage volume) is 116, which occurs at (x, y) = (10, 3).

Therefore, to maximize storage volume while considering the given constraints, you should buy 10 cabinets of model X and 3 cabinets of model Y.

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What is the value of 1 x 24 – 3?

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

\(1 \times 24 = 24{anything \: multiplied \: by \: one \: is \: the \: exact \: number} \: so \: 24 - 3 = 21\)

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hint: start with fundamental equation for thermodynamics All data refer to 298.15 K and 1 bar pressure. Units of AH and AG° are ki mol-'; Units of S and Cp are J K-1 mol-1 1 Compound AH AG S° Water Water vapour H2O H2O(9) -285.8 -241.8 -2371 ...228.6 69.9 188.3 75.3 33.6 (i) Derive an expression for the change in Gibbs energy of vaporisation with temperature for water (you may assume a constant pressure of 1 bar). Thus calculate the temperature at which vaporisation becomes thermodynamically favourable and comment on the accuracy of this calculation. [2 marks]
(ii) Derive an expression for the change in Gibbs energy of vaporisation with pressure for water (you may assume a constant temperature of 298.15 K). Thus calculate the pressure at which vaporisation becomes thermodynamically favourable.

Answers

(i) To derive an expression for the change in Gibbs energy of vaporization with temperature for water, we can use the fundamental equation for thermodynamics:

ΔG = ΔH - TΔS

Where:
ΔG is the change in Gibbs energy
ΔH is the change in enthalpy
T is the temperature
ΔS is the change in entropy

The change in Gibbs energy of vaporization (ΔG_vap) is the difference between the Gibbs energy of the water vapor (G_vap) and the Gibbs energy of the liquid water (G_liquid):
ΔG_vap = G_vap - G_liquid

At a constant pressure of 1 bar, we can assume that ΔH_vap and ΔS_vap are constant with temperature. Therefore, the expression for the change in Gibbs energy of vaporization with temperature can be simplified as:
ΔG_vap = ΔH_vap - TΔS_vap

To calculate the temperature at which vaporization becomes thermodynamically favorable, we need to find the temperature at which ΔG_vap is equal to zero. This can be done by setting ΔG_vap equal to zero and solving for T:
0 = ΔH_vap - TΔS_vap
TΔS_vap = ΔH_vap
T = ΔH_vap / ΔS_vap

Substituting the values given in the table, we have:
T = -285.8 kJ/mol / (69.9 J/K mol)

Simplifying, we get:
T = -285.8 × 10^3 J/mol / (69.9 J/K mol)
T ≈ -4086 K

Since temperature cannot be negative, it means that vaporization of water becomes thermodynamically favorable at temperatures above 4086 K. However, this value is not physically realistic, as water vaporizes at much lower temperatures. Therefore, there might be an error in the calculation or assumption made in this particular case.


(ii) To derive an expression for the change in Gibbs energy of vaporization with pressure for water at a constant temperature of 298.15 K, we can again use the fundamental equation for thermodynamics:
ΔG = ΔH - TΔS

At constant temperature, ΔH and ΔS are constant. Therefore, the expression for the change in Gibbs energy of vaporization with pressure can be simplified as:
ΔG_vap = ΔH_vap - TΔS_vap

To calculate the pressure at which vaporization becomes thermodynamically favorable, we need to find the pressure at which ΔG_vap is equal to zero. This can be done by setting ΔG_vap equal to zero and solving for the pressure:
0 = ΔH_vap - TΔS_vap
ΔH_vap = TΔS_vap

Using the values given in the table, we have:
ΔH_vap = 69.9 J/K mol
T = 298.15 K

Substituting these values, we get:
69.9 J/K mol = 298.15 K × ΔS_vap
ΔS_vap = 69.9 J/K mol / 298.15 K
ΔS_vap ≈ 0.234 J/K mol

Therefore, the change in Gibbs energy of vaporization with pressure for water at a constant temperature of 298.15 K is approximately 0.234 J/K mol.

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is the change of the function Select one: O a. Limit O b. Antiderivative O c. Derivative O d. All of the option mentioned

Answers

The change of a function can be described by its limit, antiderivative, and derivative. The limit of a function is its value as the input approaches a certain value.

The antiderivative of a function is a function whose derivative is the original function. The derivative of a function is a function that describes the rate of change of the original function.

The limit of a function can be used to determine whether the function is continuous, differentiable, or integrable. The antiderivative of a function can be used to find the area under the curve of the function. The derivative of a function can be used to find the slope of the tangent line to the graph of the function.

All of these concepts are related to the change of a function. The limit of a function tells us what the function is approaching at a certain point, the antiderivative of a function tells us how much the function has changed up to a certain point, and the derivative of a function tells us how quickly the function is changing at a certain point.

Together, these concepts can be used to understand the behavior of a function and how it changes over time.

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The product of a number and -12 is -8

Answers

8
(
12
)
or
8
×
12

Explanation:
product is the term for the result of a multiplication operation.
so the product of 8 and 12 is a multiplication problem, which can be expressed by using parenthesis or the multiplication sign. Hence:
8
(
12
)
or
8
×
12

PLEASE HELPP!!’ i will mark you brainliest if you help

PLEASE HELPP!! i will mark you brainliest if you help

Answers

Answer:

Step-by-step explanation:

Domain: - ∞ <x < ∞

Range: The range starts out at - ∞ and goes to 8

- ∞ < y ≤ 8

Vertex: (0,8) The vertex is a point. It's the highest point.

Axis of symmetry: x = 0   The axis of symmetry is the y axis.

zeros: (4,0) and (-4,0)

I have no idea what the last sentence is asking for.

b) A rectangular room contains 600 m³ of air and its height is 5 m. (i) Find the area of its floor. (ii) Find the cost of carpeting its floor at Rs 60 per sq.m.​

Answers

a) The area of the floor can be calculated using the formula:

Volume = Length * Breadth * Height

Given, Volume = 600 m³ and Height = 5 m

Therefore, Length * Breadth = 600 m³ / 5 m = 120 m²

(i) Hence, the area of the floor is 120 m².

b) (ii) To find the cost of carpeting the floor, we need to multiply the area of the floor by the cost per square meter.

Cost = Area of the floor * Cost per sq.m. = 120 m² * Rs 60/m² = Rs 7200

Therefore, the cost of carpeting the floor at Rs 60 per sq.m is Rs 7200

(i)  Area of the floor = 120m²

(ii) Cost of carpeting the floor = Rs 7200

Given:

Amount of the air of a rectangular room (Cuboidal shaped) =Volume of rectangular room= 600m³

Height of the rectangular room = 5m

(i)   According to question we have to find area of the rectangular floor.

  We know Area of Rectangle = length × breadth

 here, length and breadth is not known to us let's find.

We Know, Volume of Cuboid = length × breadth × height

                        600m³             = length × breadth × 5m

                        600 ÷ 5            = length × breadth

                           120                = length × breadth

                length × breadth     = 120

Area of the rectangular floor = length × breadth

                                                = 120m²

(ii) Now we have to calculate the cost of carpeting rectangular room floor at Rs 60 per sq m.

Area of the rectangular floor = 120m²

Given:

Cost of carpeting the floor at Rs 60

Cost of carpeting the floor= cost × Area of floor

                                              = 60 × 120

Cost of carpeting the floor = Rs 7200

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Determine the maximum average shear stress in pin A of the truss. A horizontal force of P = 40 kN is applied to joint C. Each pin has a diameter of 25 mm and is subjected to double shear. A - C = 1.5 m and A - B = 2 m

Answers

The maximum average shear stress in pin A of the truss is 42.2 MPa.

How to calculate maximum average shear stress

A horizontal force of P = 40 kN is applied to joint C. diameter of each pin, d = 25 mm double shear.

A - C = 1.5 mA - B = 2 mAs the horizontal force of P = 40 kN is applied to joint C, the maximum average shear stress in pin A of the truss is to be determined.

Shear force in AB = Shear force in AC = P/2 = 40/2 = 20 kN

Shear force in AD = 0

Resolving forces horizontally:

RA + RB = 20 ..................... (1)

Resolving forces vertically:

RC = RD = 20 .............................. (2)

Taking moments about joint A:

2RA + 1.5RC = 20 × 1.5 ........... (3)

Substituting values from equations (1) and (2) in equation (3), we get,

RA = 7.5 kN

RB = 12.5 kN

RC = RD = 20 kN

As the pin is subjected to double shear, the maximum average shear stress can be given byτ = 4V/πd²

From the figure, Shear force in AB = Shear force in AC = P/2 = 20 kN

Shear force in AD = 0Maximum shear force in the truss = P = 40 kN∴

Maximum average shear stress in the truss

τ = 4 × 40 × 10³ / π (0.025)²= 80/π MPa= 25.46 MPa

But, the pin is subjected to double shear.

Hence, the maximum average shear stress in pin A of the truss isτ = 2 × 25.46= 42.2 MPa.

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the current world population is about 7.3 billion. under current conditions, the population is growing exponentially with a yearly growth factor of 1.011. in parts (b) and (c), round your answers to the nearest year. (a) find a formula that gives the world population n, in billions, after t years. n(t)

Answers

The current world population right now is over 8 billion.

Prove that in R" a set of m vectors a, is independent if and only if 0 < m <= n and the matrix A with the given vectors as columns has rank m.

Answers

By assuming that the set of m vectors a is independent, the statement given in the question can easily be proved

No vectors can be expressed as linear combination of other vectors in the set after we have assumed that set of m vectors is independent

Suppose A is matrix columns of whose are in vector a and we will also suppose that A has rank r, means that there are r linearly independent columns in A and we can express remaining m - r columns as linear combinations of first r columns.

But since this contradicts our assumption, hence rank of A is equal to m

Now if we assume that 0<m<=n  and matrix A has rank m. Means that there are m linearly independent columns. We can express one vector as linear combination of other vectors

Let's assume that we can express a_m as linear combination of other vectors. We can write

a_m = c_1a_1 + c_2a_2 + ... + c_{m-1}*a_{m-1}

We can also write A as

A = [a_1 a_2 ... a_{m-1} (c_1a_1 + c_2a_2 + ... + c_{m-1}*a_{m-1})]

But this contradicts the assumption that rank of A is m

So, the set of vectors a must be independent

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need help with this question

need help with this question

Answers

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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7-^3
Simplify this expression. Use 7 as the base.

Answers

Hopefully this photo helps
7-^3Simplify this expression. Use 7 as the base.

In the following figure, the value of x is
B.
X
41°
с
11
A
Note: Round your answer to the nearest tenth.

In the following figure, the value of x isB.X4111ANote: Round your answer to the nearest tenth.

Answers

Given:

In a right angle triangle ABC, \(m\angle B=90^\circ, BC=x, AC=11, m\angle C=41^\circ\).

To find:

The value of x to the nearest tenth.

Solution:

In a right angle triangle,

\(\cos\theta =\dfrac{Adjacent}{Hypotenuse}\)

In the given right angle triangle ABC,

\(\cos \angle C =\dfrac{BC}{AC}\)

\(\cos (41^\circ) =\dfrac{x}{11}\)

\(11(0.7547) =x\)

\(8.3017 =x\)

Round the answer to the nearest tenth.

\(x\approx 8.3\)

Therefore, the value of x is 8.3 units.

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