Integrate f(x,y,z) = (x+y+z) / (x^2 +y^2 + z^2) over the path r(t) = 2ti +2tj +t k​, 0

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Check the picture below.

\(\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 7)}~~ + ~~\stackrel{\textit{left and right}}{2(4\cdot 7)}~~ + ~~\stackrel{\textit{top and bottom}}{2(4\cdot 5)}}\)

The expression which represents the total surface area of the prism is 2 (7 × 4) + 2 (7 × 5) + 2 (4 × 5).

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given is a rectangular prism.

There are six faces for the rectangular prism.

Each pair of sides are identical.

Total surface area = (7 × 4) + (7 × 4) + (7 × 5) + (7 × 5) + (4 × 5) + (4 × 5)

                               = 2 (7 × 4) + 2 (7 × 5) + 2 (4 × 5)

Hence the total surface area is 2 (7 × 4) + 2 (7 × 5) + 2 (4 × 5).

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Answer:

75 + m ≥ 495

m ≥ 420

Step-by-step explanation:

Answer:

Scale Factor: 6, for every one inch there is 2 feet.

Step-by-step explanation:

Hi there!

Let’s find the scale factor first.

Since the width is 18, divide that by 3 to find the scale factor, which is 6.

To find the scale, we divide 6 by 3, so we know that for every 1 inch, the actual size is 2 feet.

I hope this helps!

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer:

r = 1/2

Step-by-step explanation:

Each term y  is 1/2 of the previous term

Answer:

Input complete question please.

By using the quadratic formula, the values of x are:

So, the equation is: x² + 27 = 0

Now, use the quadratic formula as follows:

Therefore, by using the quadratic formula, the values of x are:

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Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

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Answer:

24 I guess

Step-by-step explanation:

There are 2 sides in a coin so 12 x 2 = 24

Answer:

32° degree Fahrenheit is converted to celcius

Answer:

use 273k that is if is changing from celcius to Kelvin

The future value formula, given by

Can be used to obtain the Principal by substituting other values into the equation and solving for P

Step 1: List out the parameters given

FV =$8,700

r=7%=0.07

n=4 (since there are 4 quarters in a year)

t=6 (since it will be compounded 6 times a year)

Step 2: Substitute the values into the formula

Solving for P

P=$5737.11

Option B is correct

Answer:

D

Step-by-step explanation:

Answer:

33, 15%

Step-by-step explanation:

44/x = 100/75

Cross multiply

3300 = 100x

33 = x

12/80 = x/100

1200=80x

15 = x

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer:

2x+1=9

Step-by-step explanation:

\(\sqrt{2x+1}+5=2\)

\(\sqrt{2x+1}=-3\)

\(2x+1=9\)

If they want you to solve, then you can go farther.

2x=8

x=4

Check for extraneous solutions:

\(\sqrt{2(4)+1} +5 = 2\)

This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

0.07

Step-by-step explanation:

The given measures made up a scalene triangle. Therefore, option C is the correct answer.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, a triangle has one side that measures 4 ft, one side that measures 6 ft and one side that measures 9 ft.

A. All the sides are not equal, then it is not an equilateral triangle.

B. Any two sides are not equal, then it is not an isosceles triangle.

C. All the sides are equal, then it is a scalene triangle.

D. By using Pythagoras theorem,

9²=6²+4²

81≠52

So, the given measure does made up right triangle.

Therefore, option C is the correct answer.

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Answer:

Mode is 83

Median is 85

Step-by-step explanation:

To find the median: Arrange the data points from smallest to largest.

To find the mode: Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

Answer:

I think its 90 degrees.

Step-by-step explanation:

Its a right angle

Answer:

180

Step-by-step explanation:

52 + 90 = 142

180-142=38

YXZ =180

(I'm going off based on what I was taught)

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

\(\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%\)

The resulting mixture is 19% milk.

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Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

Step-by-step explanation:

0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.

45 m/s has no direction stated. It is just a speed, not a velocity.

45 m/s north is a velocity. It has both speed and direction.