81–88. Arc length Find the arc length of the following curves on the given interval. 82. x = 3cos(t), y = 1+ 3sin(t),osts 21

Answer:

I think -2g+5

Step-by-step explanation:

its distributive property and adding... hope this helped

Answer:

Slope = -1/4

Step-by-step explanation:

(x1,y1) = (2,12)

(x2,y2) = (6,11)

Slope = y2-y1/(x2-x1)

11-12/6-2= -1/4

The area of the region is approximately 0.0204 square units.

To find the area of the region that is bounded by the curve r = e−θ/14 and lies in the sector between θ = 0 and θ = π/2, we need to integrate the equation for the area.

The equation for the area of a sector is A = 1/2 \(r^2\) θ, where r is the radius and θ is the central angle in radians.

In this case, the radius r is given by r = e−θ/14 and the central angle θ is π/2 - 0 = π/2.

Therefore, the area of the region is:

A = 1/2 (e−π/28\()^2\) π/2
A ≈ 0.0204 square units

So the area of the region bounded by the given curve and lying in the specified sector is approximately 0.0204 square units.

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Answer:

the correct answer is A

step by step explanation

Figure A is NOT a quadrilateral. Then the correct option is A.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees. In a quadrilateral, there are four vertices.

A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. In a rhombus, opposite sides are parallel and all sides are equal. In a parallelogram, opposite sides are parallel and equal.

Figure A is NOT a quadrilateral. Because two corners of the figure are rounded and in the quadrilateral, all the vertices are shaped.

Figure A is NOT a quadrilateral. Then the correct option is A.

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Explanation:

You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.

If x is an even number, then x+2 is the next even number, and x+4 is the one after that.

Add them up to get

(x)+(x+2)+(x+4)

x+x+2+x+4

(x+x+x)+(2+4)

3x+6

Then divide by 3 to compute the average

(3x+6)/3

3x/3 + 6/3

x+2

Set this average equal to 48 and solve for x

x+2 = 48

x = 48-2

x = 46 is the smallest number

x+2 = 46+2 = 48 is the middle value

x+4 = 46+4 = 50 is the largest

Note how the middle value is exactly the average. This is because we have symmetry going on here.

It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.

-------------------

Check:

add the values: 46+48+50 = 144

divide by three: 144/3 = 48

The average of the set {46,48,50} is 48

This confirms the answer

Answer:  More infoprmation is needed.  A calculation based on assumptions is provided for guidance.

Step-by-step explanation:

The equation is incorrect.  It is written "d=h/d."  I'll assume d is distance,  If so, the equation shoukld read d = s*t, where s is the speed and t is the time (in the same units as used in s, speed.  We also need to know the Persrverence's speed (e.g, 30 km/hr)

Enter the data and solve for time:  

d = s*t

3,700km = (30km/hr)*(t)  [Using an assumed speed of 30 km/hr)

t = 123.33 hours

So the original amount of money in the bank account is given by a negative number: -$21. If you deposit $6 per day during four days then the total amount of money deposited by the fourth day is:

The total amount of money in the account is given by adding the deposited money to the original amount:

Then the answer is $3.

(i) (p∧¬q)∨(¬p∨q) is a tautology.

(ii) [p→(q→p)]↔(¬p∧p) is a contradiction.

(iii) [p∧(p→q)]→q is a tautology.

(i) To determine if the expression (p∧¬q)∨(¬p∨q) is a tautology or a contradiction, we can use the laws of logic without resorting to truth tables. We can break down the expression into two main components: (p∧¬q) and (¬p∨q).

For the first component, (p∧¬q), we observe that the conjunction (p∧¬q) will only be true if both p and ¬q are true. Similarly, for the second component, (¬p∨q), the disjunction (¬p∨q) will only be false if both ¬p and q are false.

Now, considering the overall expression, (p∧¬q)∨(¬p∨q), we can see that it will be true in two scenarios: either when (p∧¬q) is true or when (¬p∨q) is true. Since we have established that both conditions can be satisfied, it follows that the expression is a tautology.

(ii) Moving on to the expression [p→(q→p)]↔(¬p∧p), we can again analyze it without resorting to truth tables. Breaking it down, we have two main components: [p→(q→p)] and (¬p∧p).

For the first component, [p→(q→p)], we know that the implication p→(q→p) is always true, regardless of the truth values of p and q. This is because in the case where p is false, the entire implication is vacuously true, and when p is true, the implication reduces to q→p, which is also always true.

On the other hand, for the second component, (¬p∧p), we can see that it will always be false since it asserts the conjunction of a proposition and its negation, which is contradictory.

Considering the overall expression, [p→(q→p)]↔(¬p∧p), we have a contradiction. This is because the first component is always true, while the second component is always false. Hence, the expression as a whole is a contradiction.

(iii) Lastly, we examine the expression [p∧(p→q)]→q. Similar to the previous analyses, we break it down into two components: [p∧(p→q)] and q.

For the first component, [p∧(p→q)], we know that p→q is equivalent to ¬p∨q. Therefore, p→q is true when p is false or when both p and q are true. Since we are considering the conjunction of p and (p→q), this component will be true only when both p and q are true.

Now, for the second component, q, we know that it can either be true or false.

Considering the overall expression, [p∧(p→q)]→q, we can see that it will always be true. This is because the first component requires both p and q to be true, and if that condition is satisfied, the implication [p∧(p→q)]→q holds true as well. Therefore, the expression is a tautology.

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Answer:

180-165= 15

(They tried to throw you off with the second line)

Answer is 15 degrees

Answer:

if it's asking for the like point it would be (3,3)

Step-by-step explanation:

i apologize if that's not what it is asking for

Answer:

= sin x

1

−

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

−

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property  

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

Step 1: Write equation

2.4(x - 10) = 8 + 1.2x - 5

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.4(22.5 - 10) = 8 + 1.2(22.5) - 5

2.4(12.5) = 8 + 27 - 5

30 = 8 + 22

30 = 30

Answer:

x=22.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.4(x−10)=8+1.2x−5

(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)

2.4x+−24=8+1.2x+−5

2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)

2.4x−24=1.2x+3

2.4x−24=1.2x+3

Step 2: Subtract 1.2x from both sides.

2.4x−24−1.2x=1.2x+3−1.2x

1.2x−24=3

Step 3: Add 24 to both sides.

1.2x−24+24=3+24

1.2x=27

Step 4: Divide both sides by 1.2.

1.2x

1.2

=

27

1.2

x=22.5

Answer:

x=22.5

Answer:

n = 4

Step-by-step explanation:

The expression must equal 6. Thus, we can make an equation:

3n - (2 + n) = 6

We distribute the negative and take away the parenthesis:

3n - 2 - n = 6

We combine like terms:

2n - 2 = 6

We add 2 to both sides to isolate n:

2n = 8

We divide each side by 2:

n = 4.

Answer:

1 6611/12500

Step-by-step explanation:

Ginny rolls a six-sided cube with sides numbered 1 to 6, each side has an equal probability of landing face up.

When Ginny rolls the cube, each side has an equal probability of landing face up. Since the cube has six sides, the probability of obtaining any specific number on a single roll is 1 out of 6, or 1/6.

This is because there are six equally likely outcomes (numbers 1 to 6) and only one of them can occur on any given roll.

Therefore, each number has a probability of 1/6 of being rolled. This assumes that the cube is fair and unbiased, meaning that all sides have the same chance of landing face up.

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Based on the table, and the function, y = 3x + 1, the table can be completed as:

x    -2      -1     0      1         2  

y     -5      -2    1       4        7

Use the function of y = 3x + 1 and the values of x to come up with the values of y:

x = -2

y = 3(-2) + 1

= -5

x = -1

y = 3 x -1 + 1

= -2

x = 0

y = 1

x = 1

y= 3 x 1 + 1

= 4

x = 2

y = 3 x 2+ 1

= 7

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The coordinates of the first charge, Q1, are (2, -1, 3), and its magnitude is -5 μC = -5 x 10^-6 C V = k * (Q1 / r1 + Q2 / r2) = (8.99 x 10^9 Nm²/C²) * (-5 x 10^-6 C / sqrt(6) + 4 x 10^-6 C / sqrt(52))

To determine the potential at a point due to multiple point charges, we can use the formula:

V = k * (Q1 / r1 + Q2 / r2 + ...)

Where:

V is the potential at the point,

k is Coulomb's constant (8.99 x 10^9 Nm²/C²),

Q1, Q2, ... are the magnitudes of the charges,

r1, r2, ... are the distances between the point charges and the point where potential is being calculated.

Let's calculate the potential at point (4, 0, 4) due to the given charges.

The coordinates of the first charge, Q1, are (2, -1, 3), and its magnitude is -5 μC = -5 x 10^-6 C.

The distance between Q1 and the point (4, 0, 4) is given by:

r1 = sqrt((4 - 2)^2 + (0 - (-1))^2 + (4 - 3)^2)

= sqrt(2^2 + 1^2 + 1^2)

= sqrt(6)

The coordinates of the second charge, Q2, are (0, 4, -2), and its magnitude is 4 μC = 4 x 10^-6 C.

The distance between Q2 and the point (4, 0, 4) is given by:

r2 =\(sqrt((4 - 0)^2 + (0 - 4)^2 + (4 - (-2))^2)\\\\ sqrt(4^2 + (-4)^2 + 6^2) \\= sqrt(52)\)

Now, let's calculate the potential using the formula:

V = k * (Q1 / r1 + Q2 / r2)

= (8.99 x 10^9 Nm²/C²) * (-5 x 10^-6 C / sqrt(6) + 4 x 10^-6 C / sqrt(52))

Calculating this expression will give you the potential at point (4, 0, 4) due to the given charges.

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Given the

Diagonal length 1 (d1) =40cm

diagonal length 2 (d2) =26cm

area of ​​rhombus,

= 1/2 (d1 × d2)

=1/2 (40×26)

=520\(cm^2\)

Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520\(cm^{2}\).

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Answer:

3x-y=-5

Step-by-step explanation:

Answer:

It would be D or C.

Step-by-step explanation:

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

Square is always symmetric because no matter whether you flip, slide or rotate them, their halves will always be identical.

We have to given that;

To find the reason for a square is always symmetric.

Since, We know that;

Symmetry refers to the division of a shape.

Now, a shape is divided in half and the halves are exactly the same, the shape is symmetrical.

Hence, Squares are always symmetric, because no matter whether you flip, slide or rotate them, their halves will always be identical.

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Answer:4

Step-by-step explanation

If you have 2 fishes in an aquarium and add 2 more fishes to the aquarium you have 4 fishes! :D

Answer:

4

Step-by-step explanation:

32

Answer:

P= 4+4+16=24 units

Step-by-step explanation:

The triangle is isosceles so <B is congruent to <C. So you can set the measures of these to angles equal to each other and solve for x.

x+6 = 2x -20

26 = 2x-x

26=x

so the measure of <B is 6+26=32

the measure of <C is 2 (26)-20 =32

m<B= 2(BC)

32 = 2(BC)

32   = BC

2

16=BC

m<C=8(AB)

32=8(AB)

32 =(AB)

 8

 4 =AB

Since the triangle is isosceles AC will also be four.

P= 4 +4+16

P=24 unit

Answer:

H = 3.5m + 90

m = 12 months

Step-by-step explanation:

We can use a linear equation (H = 3.5m + 90), where H is the height in centimeters and m is month.

We can let H = 132 to solve for m:

\(132=3.5m+90\\42=3.5m\\12=m\)

Thus, it will take the boy 12 months to reach 132 cm.

Answer:

D. 66

Step-by-step explanation:

If there are 12 apple trees per acre, and there are 792 apple trees in total, then the number of acres in Appleland is given by:

792 apple trees / 12 apple trees per acre = 66 acres

Therefore, the answer is d. 66.

Answer:

Yes

Step-by-step explanation:

We have many triangles and we have Isoceles, equilateral and right angled triangle

And when you look at those measurements we can actually construct a right angled triangle from the above measurements.

Hope its Helpful.

Plz brainliest

Explanation:

These type of triangles are known as isosceles right triangles.

The "isosceles" portion is due to the congruent base angles (45 degrees each). The congruent sides are opposite the congruent base angles.

The right triangle is because of the 90 degree angle.

There are infinitely many such triangles possible because we can scale the triangles however we want. We can grow or shrink them as shown in the diagram below.

Note how the three angles given add to 180

90+45+45 = 180

This is true of any triangle.