The formula for the volume of a cylinder with a height of 5 units is v(r)=5(3.14)r^2 where r is the radius of the cylinder. What is the domain and range of the cylinder?

Answer:

1

Step-by-step explanation:

Given :

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.

Its current value is $2,000.

To Find :

Age of car.

Solution :

Price of car after 1 year :

[tex]P_1=P_o(1-0.35)[/tex]

Price of car after 2 year :

[tex]P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2[/tex]

So, price of car after n years.

[tex]P_n=P_o(1-0.35)^n[/tex]

[tex]2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58[/tex]

Therefore, age of car in nearest whole number is 4 years.

Hence, this is the required solution.

Answer:

12

Step-by-step explanation:

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity.

Using Transitive Property, it is found that b + 3 is equal to 12.

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity.

Given;

If a +5 = b + 3 and a + 5 = 12, then we need to find b +3=

So, a + 5 = 12

and a +5 = b + 3

Then b + 3 is also equal to 12. (Transitive Property )

Therefore, Using Transitive Property, it is found that b + 3 is equal to 12.

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Answer:

D. y=0.3(x+0.8)^2 -10

Step-by-step explanation:

When looking at the y-intercepts (the number at the very end of the equation) of the equations -10 is the one farthest away from the y-axis

Answer:

D

Step-by-step explanation:

y=mx+b

y=2/3x +3

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Answer:

D

Step-by-step explanation:

Hope this helps!!

27=-4x+11

27-11= 16

16/-4= -4

x=-4

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]

[tex]\text {-4x+11-11=27-11}[/tex]

[tex]\text {Your New Problem Is: -4x=16}[/tex]

[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]

[tex]\text {-4x/-4=16/-4}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4}[/tex]

[tex]\text {Best of Luck!}[/tex]

The table that represents a function is 1:2, 2:4, 3:6, 4:2.

Option 2 is the correct answer.

Given,

Function table:

1. 1 → 4,  2 → 2, 3 → 4,  2 → 6

2. 1 → 2, 2 → 4, 3 → 6, 4 → 2

3. 2 → 6, 0 → 4, 1 → 6, 2 → 2

4. 2 → 2, 3 → 2, 4 → 6, 3 → 6

We need to find which one is a function.

A function has an input and an output.

We can have different inputs and the same output.

Example:

f(x) = x²

x = 1, -1 are the inputs

f(1) = 1

f(-1) = 1

- We see that we have the same output 1 with different inputs 1 and -1.

i.e Many to one

- But we can not have the same inputs and different outputs.

i.e One to many

- We can have one-to-one in a given function.

We have,

1. 1 → 4,  2 → 2, 3 → 4,  2 → 6

Here,

2 → 2 and  2 → 6 = one to many.

We have the same inputs but different outputs which is not possible.

It is not a function.

2. 1 → 2, 2 → 4, 3 → 6, 4 → 2

Here,

1 → 2 and 4 → 2 =  many to one

2 → 4 and 3 → 6 = one to one

It is a function.

3. 2 → 6, 0 → 4, 1 → 6, 2 → 2

2 → 6 and 2 → 2 = one to many

This is not possible.

It is not a function.

4. 2 → 2, 3 → 2, 4 → 6, 3 → 6

3 → 2 and  3 → 6 = one to many

This is not possible.

It is not a function.

Thus the table that represents a function is 1:2, 2:4, 3:6, 4:2.

Option 2 is the correct answer.

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Answer:

21.1

Step-by-step explanation:

5 goes into 12, 2 times

take leftover 2 and add to the 3

5 goes into 5, 1 time

5 goes into 5, 1 time

Answer:

Milo

Step-by-step explanation:

(Syd) 3.00/20=0.15/1

(Milo) 4.00/28=0.14/1

0.14<0.15

Answer:

Cost of ride ticket = $5

Cost of game ticket = $4

Step-by-step explanation:

Given that:

Let ;

game ticket = g

Ride ticket = r

Jacob :

6g + 3r = 39 - - - (1)

Emily :

2g + 2r = 18 - - - - (2)

Divide (2) b y 2

g + r = 9 - - - - (3)

From (3)

g = 9 - r

Substitute ; g = 9 - r into (1)

6(9 - r) + 3r = 39

54 - 6r + 3r = 39

54 - 3r = 39

-3r = 39 - 54

-3r = - 15

r = 5

Put r = 5 in (g = 9 - r)

g = 9 - 5

g = 4

Hence,

Cost of ride ticket = $5

Cost of game ticket = $4

Answer:

{x,y}={8,1}Step-by-step explanation: i just looked it up

B: y = 5.8x + 3x^2 -9

Answer:

B

Step-by-step explanation:

y = ax^2 + bx + c is standard form for a quadratic equation

Answer:

To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.

Step-by-step explanation:

Answer:

x is equal to 105

solved!, brainliest pls! would help a lot! ;)

Explanation:

This is easy! Forget about the other numbers only the 75° and the line it's on, only focus on that. Then a straight line is equal to 180° so...

180° - 75° = 105° haha woohoo

The proof here would be based on the use of the Pythagoras theorem in trigonometry.

In a triangle getting the altitude or height will result to producing a right angled triangle. In trigonometry, a right angled triangle have the sides as the hypotenuse, the adjacent and the opposite. in this case the altitude is either the opposite or adjacent.

From Pythagoras Theorem, the hypotenuse. equals the square root of the sum of squares of the other two sides. hence is the longer side. Each leg of this triangle would be shorter than the hypotenuse. The two sides that meet at the vertex are the adjacent or the opposite and the hypotenuse.

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Answer:

this is so you can give brainliest

Step-by-step explanation:

Answer:

1-4

2-5

3-6

4-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 - 8 = -3

-9 + 6 = -3

6 ÷ -2 = -3

1 × -3 = -3

You can check the calculator if you don't believe me!

Hope this helps! <3

Answer:

D

Step-by-step explanation:

Edge

[tex]density = \frac{mass}{volume} \\ [/tex]

[tex]14.2 = \frac{84.5}{v} \\ [/tex]

Multiply sides by v

[tex]14.2 \times v = 84.5[/tex]

Divided sides by 14.2

[tex]v = \frac{84.5}{14.2} \\ [/tex]

[tex]v = 5.95 \: \: ml[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

563.76

here ya go

Answer:

563.76

Step-by-step explanation:

(8.59 x 104) - (3.2 x 103)

893.36 - 329.6

=563.76

Answer:

1+3=4

4+5=9

9+7=16

as we can observe that the we have to add the odd numbers in sequence

16+9=25

25+11=36

hope this helps you

Answer:

1.3

Step-by-step explanation:

6.50/5

Answer:

The unite cost per one wing is $1.3.

Step-by-step explanation:

How i got this was by multiplying 6.50 by 1 and then dividing it by 5 which equals 1.3. Hope this helps.

Answer:

x (distance) = 10, max height = .75

Step-by-step explanation:

y=-.03x(x-10)

The distance are the x intercepts: 0 and 10, where 0 is time started and 10 is time ended.

Expand the equation:

y=-.03x^2 +.3x

To find max height you find the vertex

x = -b/2a

x = -.3/-.06 = 5

Plug the x into the equation

y=.-03(5)^2 +.3(5)

y=.75

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

Answer:

48

Step-by-step explanation:

42 + 90 = 132

180 - 132 = 48

Answer:

So the answer is the 3rd one or 1/16

Step-by-step explanation:

You can't have a negative exponent. To get rid of the negative exponent, you change it to 1/16

Answer:

1/16

Step-by-step explanation:

because 4^-2 equals 0.0625 in simplest form is 1/16

Answer:

960

Step-by-step explanation:

Answer:

14/17

Step-by-step explanation:

14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.

If the question you're asking is 14-17, the answer would be -3...

I hope this helped you out!! Have an awesome day C:

Step-by-step explanation:

if you are subtracting it is -3

if you are dividing it is 0.823

if you are looking for an equivalent fraction it is 28/34

Answer:

B. 1.5r + 5

Step-by-step explanation:

Because he bought 1 yardstick and r rulers so to find the total number you need to add both numbers together.

Answer:

50

Step-by-step explanation:

Substitute m with 5

2m^2+m-5

2(5)^2+(5)-5

then follow your order of operations

2(25)+(5)-5

50+5-5

55-5=50