evaluate the line integral, where c is the given curve. c xyz2 ds, c is the line segment from (−1, 4, 0) to (1, 5, 5)

Answer:

6x-5y=-45

Step-by-step explanation:

y=6/5x+9

-6/5x+y=9

(-6/5x+y=9)(-5)

6x-5y=-45

Answer:

\(6x-5y=-45\)

Here we want to know the expression in the new funtion

Let s look at the difference between the two functions so as to be clear with the situation.

The funtion f(x) starts at the origin.

Looking at the function h(x), we can see that it starts out at the point x = -6

We can use these starting point to actually predict what the function will look like

In this case, the function h(x) has its expression as

Option B is the correct option for the function h(x)

Answer:

Graph A

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

40 divided by 5 = 8

8 x 3 = 24

Plz mark me brainsliesttttt

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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Step-by-step explanation:

hope it helps u.........

Therefore , the solution of the given problem of unitary comes out to be

option A is correct option.

The task can be finished by combining the data expression obtained to use this nanosection methodology with in all supplemental data from two people who employed a particular variable tactic. In plain English, this indicates that, if the desired result occurs, either the stated individual will be known or, in fact, the colour by both enormous processes would be skipped. A refundable fee of Rupees ($1.01) may be necessary for forty pens.

Here,

Given :

there is a relationship between a person’s age and their preference for a particular style of dress.

So,

The question can be included in the interview

and so,

option A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.

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A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence.

conducting a research study, it is important to carefully consider the questions being asked in the survey to ensure that they are relevant to the research question and that they do not cause any harm or offense to the participants. In the case of the clothing designer's survey, asking about age and dress size is relevant to the study's goal of investigating the relationship between age and preferred dress style. Therefore, including these questions in the survey is acceptable.

However, it is also important to consider the potential concerns or discomfort that some participants may have about answering these questions. To address these concerns, the survey questions should be worded in a respectful and non-intrusive manner.

Therefore, A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.

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Answer:

D

Step-by-step explanation:

Answer:

152 units.

Step-by-step explanation:

(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)

40+40+48+12+12

152

A plane is a flat surface made up of points that extends infinitely in all directions.

In mathematics, a plane is a fundamental geometric concept. It is a two-dimensional flat surface that extends infinitely in all directions. A plane can be visualized as a flat sheet or a tabletop. It has length and width but no thickness.

A plane is defined by three non-collinear points or by a linear equation in three variables. The equation of a plane in three-dimensional space is typically written as Ax + By + Cz + D = 0, where A, B, C are coefficients representing the plane's orientation, and D is a constant term.

Planes are important in various branches of mathematics, such as geometry, linear algebra, and calculus. They serve as a foundation for understanding concepts like lines, angles, and shapes in two dimensions. Additionally, planes are used in vector operations, linear transformations, and solving systems of linear equations.

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The general form of an equation in slope intercept form is ;

y= mx + c where m is the gradient and c is the y-intercept

The equation given is : y = -9x-81 ------this means the slope is -9

This is determined from the general equation ;

y = m x + c

y= -9 x - 81

where -9 is the gradient

Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}

m= change in y-coordinates value / change in x coordinate values

-9 = y --8/x--2

-9 = y+8 /x+2

-9 {x+2} = y+8

Answer:

y=3x+7

Step-by-step explanation:

see the attached above

Answer:

Equation of the line is y = 3x +1

Step-by-step explanation:

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

24

Step-by-step explanation:

Hanna: 20 1/4 cups per 9 servings.

We divide 20 1/4 by 9 to find the amount per serving.

20 1/4 / 9 = 81/4 / 9/1 = 81/4 * 1/9 = 9/4

Hanna's recipe uses 9/4 cup per serving.

Pocahontas: 3/4 cup more per serving than Hanna

9/4 + 3/4 = 12/4 = 3

Pocahontas uses 3 cups per serving

3 * 8 = 24

Pocahontas uses 24 cups of flour for 8 servings.

Answer:

9 , 15

Step-by-step explanation:

HCF = 3

LCM = 45

Product of two numbers = HCF * LCM

                                        = 3*45

                                       = 135

The two numbers are the factors of 135

9 * 15 = 135

9 = 3*3

15 = 3 * 5

HCF = 3

LCM = 3* 3 * 5 = 45

Answer:

40

Step-by-step explanation:

90 + 4x - 8 + 4x + 2 = 180

= 8x = 96

= x = 12

m < a = 4(12)-8 = 40

Answer:

x = -61

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

x = 116 -(-67)/3

x = 138.3`

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Answer:

Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

\(l+s = 100\ \ \ Eqn\ 1\\11l+7.5s = 848\ \ \ Eqn\ 2\)

From equation 1

\(l = 100-s\)

Putting in equation 2

\(11(100-s)+7.5s = 848\\1100-11s+7.5s = 848\\-3.5s+1100 = 848\\-3.5s = 848-1100\\-3.5s = -252\\\frac{-3.5s}{-3.5} = \frac{-252}{-3.5}\\s = 72\)

Putting s=72 in equation 1

\(l+72 = 100\\l = 100-72\\l = 28\)

How many more small pizzas means we have to find s-l

So,

s-l = 72-28 = 44

Hence,

Option B. 44 is the correct answer

Answer:

Step-by-step explanation:

1. Area=113.1 mm^2

2. Radius=12mm

Area=452.4 mm^2

3. Radius=8 mm

Area=201.06 mm^2

4. Radius=1 km

Area=3.1416 km^2

Answer:

A)

10 miles.

B)

0 hours, 40 minutes, and 0 seconds.  

Step-by-step explanation:

Remember that distance is given by the formula:

\(d=st\)

Where d is the distance, s is the speed, and t is the time.

We know that the bird leaves its nest and travels 15 miles per hour for x hours. So, let's substitute 15 for s and x for t:

\(d=15x\)

On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Since this is the return trip, the distance d remains the same. We know that the bird travels 3 miles per hour slower, so it's speed is 15-3 or 12 miles per hour.

However, after x hours, it still has 2 miles left until reaching the destination. So, we will subtract 2 from d. This gives us the equation:

\(d-2=12x\)

We can solve this using substitution. Since we already know that d is 15x. Substitute:

\(15x-2=12x\)

Solve for x. Subtract 12x from both sides:

\(3x-2=0\)

Add 2 to both sides:

\(3x=2\)

Divide both sides by 3:

\(x=2/3\)

Therefore, the bird traveled for a total of 2/3 hours or 40 minutes.

And the distance the bird traveled is:

\(d=15x\)

Substitute 2/3 for x to get:

\(d=15(2/3)=30/3=10\text{ miles}\)

And we're done!

Answer:

The mean is 2.875 so its between 2 and 3

Step-by-step explanation:

The width of the rectangle is twice the length of the rectangle

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

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Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

Answer:

1 number number 1 ok

Step-by-step explanation:

ok sure i helped