A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answer:

0.925 or 92.5%

Step-by-step explanation:

y=a(1-b)^x

decay factor is 1-b <- and the part we care about

b is 7.5%=0.075

1-0.075

=0.925

I'm a little rusty on exponential rates, but I hope this helps!

The decay factor for the car will be equal to 0.925 or 92.5%

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.

The decay factor will be calculated as,

[tex]y=a(1-b)^x[/tex]

b is 7.5%=0.075

Decay factor = 1-0.075

Decay factor = 0.925

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Answer:

0.25

Step-by-step explanation:

Answer: 1620 gallons of water

Step-by-step explanation:

Let the water that is in the tank when the tank is at full capacity be represented by x.

Therefore, 40% of x = 648

40% × x = 648

40/100 × x = 648

0.4 × x = 648

0.4x = 648

x = 648/0.4

x = 1620

The answer is 1620 gallons

Answer:

The y-intercept is $1000

Step-by-step explanation:

What this means is the the value of the antique when first found/created was 1000 dollars

Answer:

N/A

Step-by-step explanation:

There is not enough information to find the amount of boys in choir. You did not give us how many girls there are in choir or how many people were in choir in total. That could've helped us. Better luck next time!!!!!

Answer:

456 ft.sq

Step-by-step explanation:

Here's your solution

=> Divide the whole figure in two parts

=> Area of trapezium = 1/2*sum of parrel sides*distance between them

=> Area of trap. = 1/2*( 24 + 11) *24

=> Area = 1/2*35*24

= > Area = 35*12. =. 420 ft.sa

=> Area of square = side*side

=> Area = 6*6

=> Area = 36 ft.sq

=> Total area of figure = 420 + 36

456 ft.sq

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

Answer:

I think its joe

Step-by-step explanation:

c or b

The answer is c

Step-by-step explanation:

........

..........

..

.

.

Answer:

a = 3b+13

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Answer:

950

Step-by-step explanation:

854+96=950 I need more characters so ingnor this sentence.

Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

Answer:

c and d

Step-by-step explanation:

Answer:

angle 1 = 51 degrees

angle 2 = 18 degrees

angle 3 = 123 degrees

angle 4 = 39 degrees

Step-by-step explanation:

angle 2 = 90-72 = 18

angle 3 = 180 - 57 = 123

angle 4 = 180 - 123 - 18 = 39

angle 1 = 90 - 39 = 51

Hi!

Let's first expand the cotangent of theta.

You'll probably know that tangent will be "y/x", or [tex]\frac{sin(x)}{cos(x)}[/tex], and cotangent is the reciprocal of this, meaning that it is "x/y" or [tex]\frac{cos(x)}{sin(x)}[/tex].

That means that we are now given this equation.

[tex]cos(x)\frac{cos(x)}{sin(x)}+sin(x)[/tex]

That'll multiply to:

[tex]\frac{cos^2(x)}{sin(x)}+sin(x)[/tex]

We'll want a common denominator to add by multiplying [tex]sin(x)[/tex] to both top and bottom of the second term:

[tex]\frac{cos^2(x)}{sin(x)}+\frac{sin^2(x)}{sin(x)}[/tex]

[tex]\frac{cos^2(x)+sin^2(x)}{sin(x)}[/tex]

Pythagorean Identity states that [tex]sin^2(x)+cos^2(x)=1[/tex], so substitute that in:

[tex]\frac{1}{sin(x)}[/tex]

Which simplifies to:

[tex]csc(x)[/tex]

Hope this helps!

Answer:

120

Step-by-step explanation:

First we can find the value of each exterior angle

The sum  of the exterior angles is 360

because a hexagon has 6 congruent exterior angles we divide 360 by 6

360/6=60 so each exterior angle is equal to 60 degrees

the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180

180-60=120 so each measure of the interior angle of a hexagon is 120 degrees

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

Answer:

x= -3

Step-by-step explanation:

-5x+3=18

-3 on both sides

-5x=15

divide by -5 on both sides

x= -3

Answer:

X= -3

Step-by-step explanation:

-5x+3=18 subtract 3 from both sides this removes the +3 from the left side and makes the 18 into 15

-5x=15 Divide both sides by -5

x=-3

Answer:

x = 4

y = 13

Step-by-step explanation:

x + y = 17

y = 2x + 5

substitute for y:

x + (2x + 5) = 17

reduce:

3x + 5 = 17

subtract 5 from each side:

3x = 12

divide both sides by 3:

x = 4

y = 2(4) + 5

y = 13

9514 1404 393

Answer:

  $10.49

Step-by-step explanation:

Maybe $11 CDs are selling at a 10% discount with 6% sales tax. Then the total price is ...

  $11.00 × (1 -10%) × (1 +6%) = $11.00(0.90)(1.06) ≈ $10.49

The price with discount and tax is $10.49.

Answer:

54%

Step-by-step explanation:

Answer:

8) 2.5 meters

9) 56 fluid ounces

Step-by-step explanation:

You need to know all the conversion factors.

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

Answer: I would say 4 square feet

Step-by-step explanation:

Pls give brainliest

Answer:

Step-by-step explanation:

Answer:

a = 10.36m

B = 47.7º

C = 90º

Step-by-step explanation:

we know the angle of A so we do the sin of A; Spoiler: its 0.67

0.67 = a / 15.4

0.67 * 15.4 = a

a = 10.36

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B = 90 - 42.3 = 47.7º