Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answer:

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Answer:

2

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24

9514 1404 393

Answer:

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

__

2. The monthly payment will be the total amount due, divided by the number of months.

  payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

Answer:

21,735

Step-by-step explanation:

Step-by-step explanation:

Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?

There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.

The excel formula to calculate a payment is

=PMT(0.04/12,60,25000,0)

.04/12 is the interest APR on a monthly basis

60 is the number of months

25000 is the current amount owed

0 is the future balance after 60 payments

The answer from Excel is $460.41 -- ignore the negative sign for these purposes.

Multiply that number by the 60 months you pay and you get a total paid of $27,624.78

Remove the initial 25K and $2,624.78 is your interest amount.

By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}

2000=x

.002916667

1−(1+.002916667)

−48

x=44.71

then it's just

44.71*48-2000=146.08

Answer:

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]

then it's just

44.71*48-2000=146.08

9514 1404 393

Answer:

  65°, 35°, 90°, 115°, 80°

Step-by-step explanation:

There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.

A: 0 or 180

B: 65 or 115

C: 90

D: 145 or 35

E: 180 or 0

__

Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.

arc AOB = 65 -0 = 65°

arc DOE = 35 -0 = 35°

arc AOC = 90 -0 = 90°

arc EOB = 115 -0 = 115°

arc DOB = 145 -65 = 80°

Answer:

B.10

Step-by-step explanation:

15=1/2b(3)

30=3b

10= base

Answer:

2

Proof:

x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2

The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2

"It is a polynomial which consists of three terms."

"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"

For given question,

We have been given a square trinomial.

[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]

We need to find the number in the blank space, so that the given trinomial would be complete square.

Let 'm' be the required number.

So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]

Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],

we have a = 1, b = 6, c = 7 + m

We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac

⇒ b² = 4ac

⇒ 6² = 4 × 1 × (7 + m)

⇒ 36 = 4 × (7 + m)

⇒ 9 = 7 + m

⇒ m = 2

This means, we need to add 2 in the blank space.

So, the square trinomial would be,

[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]

Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]  to complete the square is 2

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Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

Answer:

x= -4

y= -8

This will be the solution

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

Answer:

Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system

y=ax+b

y=2x+5

needs to have no solutions. Subtracting the equations gives us

(a−2)x+(b−5)=0

In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .

Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation

5=2⋅4+b

should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation

y=2x−3

What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?

Which line is parallel to the line y = 2x -4?

What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?

What is an equation for the line that is parallel to y= -4x

Answer:

80

Step-by-step explanation:

brainliest please ;>

I hope it will help you.

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Soooo, by looking at the picture we can tell that it is a right trapezoid

The formula for the area is

(b1+b2)/2*h

(Base 1+ Base 2)/ 2 * height

Now we can plug in the numbers:

(5+15)/2*6

20/2*6

10*6

=60

1 gallon of paint per sq. foot

So Isha needs 60 gallons of paint

Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.

Answer:

200000%

Step-by-step explanation:

.

Answer:

-7

Step-by-step explanation:

3 v + 2 x

3 ( - 1) + 2 ( -2)

-3 - 4

-7

Answer:

09

Step-by-step explanation:

Answer:

(6290.678 ; 7790.742)

Step-by-step explanation:

Given the data :

5640, 5090, 6590, 6380, 7165, 8440, 9980

The sample mean, xbar = Σx / n = 49285 / 7 = 7040.71

The 90% confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Since the σ is known, we use the z- distribution

Zcritical at 90% confidence = 1.64

Hence,

Margin of Error = 1.64 * 1210/√7

Margin of Error = 750.032

90% confidence interval is :

7040.71 ± 750.032

Lower boundary = 7040.71 - 750.032 = 6290.678

Upper boundary = 7040.71 + 750.032 = 7790.742

(6290.678 ; 7790.742)

Answer:

x = 13

Step-by-step explanation:

The sum of the exterior angles of a 4 sided polygon is 360

139+ 6x+9x+2x = 360

Combine like terms

139+17x=360

Subtract 139 from each side

17x = 360-139

17x = 221

Divide each side by 17

17x/17 = 221/17

x = 13

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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Answer:1380

Step-by-step explanation: 12x115

Answer:

1,380

Step-by-step explanation: 12 times 115 gives you the product of 1,380. :)

Hope this is helpful