evaluate the iterated integral. 1 0 s7 cos(s8) dt ds

Answer:

WX

Step-by-step explanation:

WX is the only place where you can fold the triangle on that line and the 2 halves would fit perfectly over each other.

Concentric circles are internally tangent circles which is the true statement.

Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)

Concentric circles are circles that have the same center but different radii.

When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.

In this case, one circle is entirely contained within the other circle.

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Answer:

Step-by-step explanation:

( 9^2 ) = 23

Answer:

Below

Step-by-step explanation:

Break each of the legs into vertical and horizontal components so you can add them :

Vertical

  80 sin 55    +     40   sin 132   = 95.258 km

Horizontal

   80 cos 55    +   40 cos 132 = 19.121 km

Use pythag theorem to calculate the distance from origin

d^2 = 95.258^2  + 19.121^2  

    show d = 97.16 km from origin

Angle will be arctan ( 95.258/19.121) = 78.65°   <====this is the bearing of the SHIP from the PORT....the bearing TO the PORT FROM the ship will be   78.165 + 180 = 258.65°

The measure of ∠FXD = 44°,

EG = 14 and ∠FZG = 21°.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is that the sum of its internal angles to 180 degrees. This quality is referred to as the angle sum property of triangles.

Given  a triangle XYZ

and XG, YG, and ZG are angle bisectors,

DG = 14 and ZG = 17

∠DYE = 94°, ∠FXG = 22°

A: to find ∠FXD,

as we know angle bisector divides an angle into two equal parts,

so ∠FXG = ∠GXD = 22°

∠FXD = ∠FXG + ∠GXD

∠FXD = 22 + 22 = 44°

B: to find EG,

since G is the incenter,

Due to the junction point of the central axis being the center of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.

so DG = EG = FG = 14

C: to find ∠FZG,

we have ∠DYE = 94° and ∠FXD = 44°

from angle sum property,

∠DYE + ∠FXD +  ∠FZE = 180°

∠FZE + 94 + 44 = 180

∠FZE = 180 - 94 - 44

∠FZE = 42°

so  ∠FZG = ∠GZE = ∠FZE/2 (due to angle bisector)

∠FZG = ∠GZE = 42/2

∠FZG = ∠GZE = 21°

Hence ∠FXD = 44°,

EG = 14,

∠FZG = 21°.

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Answer:

12x^2 - 13x + 3 is a quadratic equation in the standard form ax^2 + bx + c, where a = 12, b = -13, and c = 3. This equation can be factored, completed the square or used the quadratic formula to find the solutions of x.

Since Damian dove 5 feet under the water and then went back to the surface, he is now 0 feet below the surface. An integer that represents this is 0.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.

Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

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Answer:

voir ci-dessous

Step-by-step explanation:

1.

Programme 1:  choisi nombre par example, 2, prendre son carré, donc c'est 2²; ajourter5, donc c'est 4+5 =9  

Programme 2:  choisi nombre par example, 5, ajourter5, donc c'est 5+5 =10; prendre son carré, donc c'est 10²=100

2. f(x)=(x+5)² c'est programme 1; g(x)=x²+5 c'est programme 2

3. programme pour h(x) = (x+3)²:

voila.

The distance in feet from the bottom of the lighthouse to the ferry is 154 feet.

What is the angle of depression?

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground, and the ferry. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the ferry. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90° − 37° = 53°

The distance to the boat is the side opposite the angle of 63° while the height of the lighthouse is the adjacent side.

opposite / adjacent = tan53°

distance / 116 = tan53°

distance = 116 × tan53°

= 153.932 feet

= 153.9 feet. (approximately)

Hence, the distance in feet from the bottom of the lighthouse to the ferry is 153.9 feet.

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Yes, it is true to say that objects only attract each other if they have different charges if we exclude non-electrostatic forces.

This is because electrostatic forces between charged objects follow Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. According to Coulomb's law, if two objects have the same charge, they will repel each other, while if they have different charges, they will attract each other.

This observation can be made in a lab by charging two objects with different charges (e.g. positive and negative) and observing their attraction towards each other, and then charging two objects with the same charge (e.g. both positive or both negative) and observing their repulsion from each other.

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The percentile rank of 64 in the twelve students exam result is 42%

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Ordering the data we have:

90 64 99 71 72 93 40 85 45 50 55 66

40 > 45 > 50 > 55 > 64 > 66 > 71 > 72 > 85 > 90 > 93 > 99

The 64 result is the 5th term of all the results, so:

percentile rank = (term / total term) * 100%

percentile rank = 5/12 * 100%

percentile rank = 41.66%

41.66% round to the nearest percentile 42%

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There is only 1 possible list of positive integers that have a mean, median, mode, and range of 5

As per the data given,

We have, a lit of 5 positive integers.

The sum of the five positive integers must equal five in order for the mean, median, mode, and range to all be five.

This is because the range of a set of equal numbers will always be 0, the mean of a set of equal numbers will always equal the numbers themselves, the median of a set of equal numbers will always equal the mean, the mode of a set of equal numbers will always equal the numbers themselves, and so on.

Therefore, there is only 1 possible list of positive integers that have a mean, median, mode, and range of 5: [5, 5, 5, 5, 5].

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Answer:

Step-by-step explanation:

A) To find the length of AD, we first find the length of the CD.

CD = (BE + EC)/2 = (3x + 12 + 6x - 9)/2 = 9x + 3

AD = CD = 9x + 3

B) To find x, we use the fact that DG is the perpendicular bisector of EC and BG. This means that EG = BG = x.

EG = BG = x

EC = 2EG = 2x

Substituting in EC = 6x - 9, we get:

2x = 6x - 9

4x = 9

x = 9/4 = 2.25

C) To find BC, we use the fact that BC = AB - 2BE

BC = AB - 2BE

BC = 10 - 2(3x + 12)

Substituting in x = 2.25, we get:

BC = 10 - 2(3 * 2.25 + 12)

BC = 10 - 2 * 21

BC = 10 - 42

BC = -32

Answer:

AD = 5, x = 7, BC = 66

Step-by-step explanation:

a) We know that DG is a perpendicular bisector, so it should divide AB into two equal parts, each equal to half the length of the total line segment.
So, AD = AB/2
= 10/2
= 5

b) Now, BE and EC are part of the same segment, as they share a common point E. Also, at E we have perpendicular bisector EG.
Again, the two parts BE and EC should be equal.
Given, BE = 3x + 12 and EC = 6x - 9
3x + 12 = 6x - 9
3x = 21
x = 7

c) Now, BC would be twice the length of one of the segments divided by the perpendicular bisector. So, BC = 2BE
= 2 * (3x + 12)
= 2 (3*7 + 12)
= 2 * 33
= 66

A modified version of the original distribution, the sampling distributive of y(1) has an upper bound equal to the minimum value in the sample and a lower bound of 0.

Let y1,..., yn have an f-distribution and be independently and identically distributed (iid) (y).

Ascertain the y(1) = min I yi sampling distribution. The sampling distribution of y(1) has a lower bound of 0 and an upper bound that is equal to the minimum of the sample yi. It is a truncated distribution of the original distribution f(y).

By integrating the initial distribution f(y) from 0 to the minimum of the sample yi, get the probability of each value of y(1).

A reduced version of the original distribution f(y), with a lower bound of 0 and an upper bound equal to the minimum of the sample yi, is the sampling distribution of y(1). We must integrate the initial distribution f in order to calculate this distribution (y)

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The value of the radius of the circle 'r' will be 14 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The tangent and radius of the circle intersect at the right angle. Then the value of 'r' is given as,

QT² = QS² + ST²

(r + 36)² = r² + 48²

r² + 72r + 1296 = r² + 2304

72r = 1008

r = 14

The value of the radius of the circle 'r' will be 14 units.

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Step-by-step explanation:

Without doing any math, 1,697.5

35.0 and 16,975 is the original

3.5 is 35.0, but they moved the decimal one point to the left

We do the same for the answer

16,975... we move the comma one point to the left and get 1,697.5

Answer:

This inequality has no solution.

Step-by-step explanation:

Solve the inequality.

Start on the left side.

Apply the distributive property.

[tex](2*5V)+(2*7) > 10V+14[/tex]

Simplify the parenthesis.

[tex]10V+14 > 10V+14[/tex]

Subtract [tex]10V[/tex] from both sides of the inequality.

[tex]14 > 14[/tex]

Since [tex]14 > 14[/tex], there are no solutions.

If Jason paid $88.50 in tax on a table that cost $1,180, the tax rate (sales tax) is 7.5%.

The tax rate is the percentage that is paid in tax.

For sales tax (consumption tax), the tax rate is fixed, making it a proportional tax rate system.

For income tax, the tax rate follows a progressive tax rate system.  The percentage of tax increases as the taxable income increases.

Some tax rates are said to be retrogressive as the rates reduce with increased taxable income.

The amount of sales tax on the table = $88.50

The cost of the table = $1,180

Tax rate = 7.5% ($88.50/$1,180 x 100)

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The product of any two even integers is even.

Odd numbers: An odd number is any natural number that can be written as (2n + 1), where n is any natural number, i.e., a positive integer.

Even numbers: Any natural number that can be written as 2n, where n is any natural number, i.e., a positive integer, is referred to as an even number.

The product of two even numbers is even.

Let us suppose m and n be any integers.

So, 2m and 2k are two even numbers.

Take the product as 2m(2k) = 2(2mk), which is even.

Let the two even integers be x1 and x2.

Let x1 = 2

Let x2 = 6

Therefore, the product of x1 and x2 is

x1 * x2 = 2 * 6 = 12

The product is even since it is divisible by 2.

Hence, the product of any two even integers is even.

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Answer:

answer is 28

Step-by-step explanation:

10(2•4/5)

20 + 8

= 28

When you write it this way you distribute it so 10 is outside the parenthesis so you time 10 to bout of the numbers inside of it then add.

The value of ML is 29.2.

Option B is the answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two similar triangles:

So,

NL/RN = ML/QR

70/48 = ML/20

ML = (70 x 20) / 48

ML = 1400/48

ML = 29.2

Thus,

ML = 29.2

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Step-by-step explanation: A square root function has a range of y greater-than-or-equal-to 0.

For example, the function f(x) = √x has a domain of x greater-than-or-equal-to 0 and a range of y greater-than-or-equal-to 0. This is because the square root of a positive number is always positive, and the square root of 0 is equal to 0. So, for any value of x greater-than-or-equal-to 0, the corresponding value of y will always be greater-than-or-equal-to 0.

Other functions that have a range of y greater-than-or-equal-to 0 include:

the absolute value function: f(x) = |x|

exponential functions with positive bases: f(x) = e^x, f(x) = 2^x, etc.

any linear function with a positive slope: f(x) = mx + b, where m > 0.

These are just a few examples of functions that have a range of y greater-than-or-equal-to 0.

Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be $162.00.

The Nutty Squirrel requires 10 ounces of sugar per dozen, so Antonia can make at most 570 / 10 = 57 dozen of Nutty Squirrel.

Since Antonia has to make at least 18 dozen of Nutty Squirrel, she will make 18 dozen of Nutty Squirrel.

The White Chocolate Blizzard requires 19 ounces of sugar per dozen, so Antonia can make at most 570 / 19 = 30 dozen of White Chocolate Blizzard.

Since Antonia has to make between 9 and 20 dozen of White Chocolate Blizzard, she will make 20 dozen of White Chocolate Blizzard.

Therefore, Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be 18 * $9.00 + 20 * $5.00 = $162.00.

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Answer:

Step-by-step explanation:

64% as a fraction in its simplest form is 32/50.

As a decimal, 64% is equal to 0.64.

It will take approximately 20.7 years for the account value to reach $24000 with an annual interest rate of 7%. To the nearest year, it will take 21 years.

To find out how long it will take for an account with an initial value of $5100 to reach $24000 with an annual interest rate of 7%, you can use the formula:

time = (log(final value/initial value)) / (log(1+interest rate))

So, the time it will take for the account value to reach $24000 is:

time = (log(24000/5100)) / (log(1+0.07))

using the logarithm calculator or log rule

time = (log(4.64)) / (log(1.07))

time ≈ 20.7 years

To nearest year, it would take 21 years.

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Using the definition of big o notation, t(n) = 32 * 4^n is O(f(n)) = 5^n with c = 26 and n0 = 1.

The definition of Big O notation states that a function t(n) is said to be O(f(n)) if there exist positive constants c and n0 such that |t(n)| <= c * |f(n)| for all n >= n0. In other words, t(n) grows no faster than f(n) as n becomes large.

To find the constants c and n0 that show that t(n) = 32 * 4^n is O(f(n)) = 5^n, we need to find a value of c and an n0 such that:

|32 * 4^n| <= c * |5^n|

for all n >= n0.

Let's start by finding a value for c that works for n = 1. We have:

|32 * 4^1| = 128 <= c * |5^1| = 5c

So, c >= 128 / 5 = 25.6.

Now let's try c = 26. We have:

|32 * 4^n| <= 26 * |5^n|

for all n >= 1.

Since 26 * |5^n| is an increasing function as n increases, we can conclude that:

t(n) = 32 * 4^n is O(f(n)) = 5^n

with c = 26 and n0 = 1.

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The distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩ is [tex]\frac{18}{\sqrt{14}}[/tex]

To find the distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩, we will use the formula for the distance between a point and a plane.

First, we find a point on the line by plugging in a value for t. Let's use t=1:

⟨3(1)-3,3(1)-1,3(3)(1)⟩ = ⟨0,-2,9⟩

Next, we find the normal vector for the plane:

n = (1,-2,3)

Finally, we can use the formula for the distance between a point and a plane:

d = |(⟨0,-2,9⟩-⟨0,0,0⟩)•n| ÷ ||n||

where ||n|| represents the magnitude of the normal vector n.

We calculate the dot product:

(⟨0,-2,9⟩-⟨0,0,0⟩)•n = ⟨0,-2,9⟩•(1,-2,3) = 0(-2) + (-2)(-2) + 9(3) = 18

And the magnitude of the normal vector:

||n|| [tex]= \sqrt{1^2 + (-2)^2 + 3^2} = \sqrt{1 + 4 + 9} = \sqrt{14}[/tex]

Putting it all together:

[tex]d = \frac{|18|}{\sqrt{14}} = \frac{18}{\sqrt{14}}[/tex]

So the distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩ is[tex]\frac{18}{\sqrt{14}}[/tex]

Correct Question:

Find the distance between the plane 3z−(x,2y)=0 and the line ⟨3t−3,3t−1,3 3t⟩⟨3t−3,3t−1,3 3t⟩.

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Answer: Should be 6

Step-by-step explanation: 4 times for is 12

Then Make sure you divide 12 so u get 6.

A=1/2 BH