Identify the word problem that represents the algebraic expression πr²(3r).
1) the amount of tissue paper needed to cover a tennis ball canister shaped like a cylinder with a radius 3 times its height.
2) the volume of a cylindrical shaped corn silo with a height that is 3 times the radius.
3) the surface area of a round ball shaped like a sphere with a radius of 3 meters.
4) the volume of a jar of salsa in the shape of a right cylinder with a radius that is 3 times its height

Answer (Please vote me Brainliest if this helps!):

The answer is D

Step-by-step explanation:

Lets start off with the square roots:

[tex]\sqrt{16}[/tex] = 4

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex] = 4.24264...

Mixed fraction:

[tex]4\frac{2}{3}[/tex] = 4.667

Therefore the answer is D.

9514 1404 393

Answer:

  d. √16, 4.23_23, √18, 4 2/3

Step-by-step explanation:

There are a couple of different ways to compare these numbers. Maybe one of the most straightforward is to find the decimal equivalent, rounded to hundredths.

  4.23_23 ≈ 4.23

  4 2/3 ≈ 4.67

  √18 ≈ 4.24

  √16 = 4.00

These can be sorted least-to-greatest by putting the first number (4.23) between the last two (4.00, 4.24) and reading the new list last-to-first.

  4.00, 4.23, 4.24, 4.67   ⇔   √16, 4.23..., √18, 4 2/3

_____

Additional comment

Another way to work this problem is to square the numbers not under a radical. 4.23...² ≈ 17.91 and (4 2/3)² ≈ 21.78. The ordering of the squares is the same as the ordering of their square roots.

  16 < 17.91 < 18 < 21.78   ⇔   √16 < 4.23... < √18 < 4 2/3

x = 2a

a = 3

x = 2 · 3 = 6 ← the end answer

Answer:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer:

choose A

Step-by-step explanation:

f6odo6d7pfp7dp6d6p

Answer: A one solution.

x=5

Step-by-step explanation: (2)(5x)+(2)(−1)=(3)(x)+(3)(11)                                   10x+−2=3x+33                                                                                                       10x−2-3x=3x+33-3x                                                                                             7x−2+2=33+2                                                                                                       7x/7=35/7                                                                                                               x=5

Answer:

About $0.539

Step-by-step explanation:

12.94 dollars / 24 bottles = $0.539

Answer:

the answer is 1.

Step-by-step explanation:

Try and plug in 1 as in x it would come out with equal to b0th sides

Answer:

x = 1

Step-by-step explanation:

7x + 6 = 4x + 9

3x = 3

x = 1

Answer:

It's A

Step-by-step explanation:

Using process of elimination B is wrong because even though you get 37 and 36 it multiplies them because of a lack of addition symbol. C is also wrong because it would turn out to be 12 x 13 which is larger than C so that's not it. in D 3x4 is 12 but it's added to 9 not multiplied so that's wrong which leaves you with A which is 9(3 + 4) = 63 and 27 + 36 = 63

Answer:

40

Step-by-step explanation:

Perimeter means add up all the sides

The top is 4+b, and b is 10, so the top and bottom are 14 each

The side is a which is 6 so

p=bottom+top+left side+right side

=14+14+6+6

=40

Answer:

4 +(r/5)

Step-by-step explanation:

Answer:

The Answer is -5(y - 3)(y - 7 )

Answer:

9.3

Step-by-step explanation:

Answer:

Yes she is correct

Step-by-step explanation:

Suppose before we add and additional element x to a set A the number of subsets are n.

Now we can think of the subsets of the new set A union x as the subsets containing x and the subsets that are not containing x.

The subsets that are not containing x are exactly the former n subsets of A and the subsetes that are containing x is obtained by appending x to each of the n subsets. So we get another n subsets.

Therefore there are n + n =2n subsets which is double of the original subsets.

Therefore, there are n + n = 2n subsets which are doubled of the original subset.

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Every time they add an element to a set, the number of subsets doubles.

Let the number of sets be n

But every time they add an element to a set, the number of subsets doubles.

Then according to the condition,

n + n = 2n

Therefore, there are n + n = 2n subsets which are doubled of the original subset.

More about the sets link is given below.

https://brainly.com/question/8053622

Answer:

a) -22, b)14 c) -3

Step-by-step explanation:

a) -19+3(-13+4*3)

= -19+3*(-13+12)

= -19+3*(-1)

= -22

b) | -7(2)|

= | -7*2|

= -14

c) 15-3 | -4-2|

= 15-3* (-6)

= 15-18

= -3

Answer:

-7+12 will also give u 5 with a positive sign

Answer:

30.5 meters

10.5 meters

Step-by-step explanation:

x = length

y = width

x = y + 20

2x + 2y = 82 (the perimeter of a rectangle)

using the first equation as substitute in the second equation we get

2×(y + 20) + 2y = 82

2y + 40 + 2y = 82

4y = 42

y = 42/4 = 21/2 = 10.5 meters

x = y + 20 = 21/2 + 20 = 21/2 + 40/2 = 61/2 = 30.5 meters

Answer:

Step-by-step explanation:

2(x^2+6)+3(x-1=

2(5*5+6)+3(5-1=

2(25+6)+3(4=

2(31)+3(4=

62+12=74

Answer:

Third side is 10

6²+8²=h²

100=h²

h=10

Step-by-step explanation:

Solution

According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)

f(x)=5x3+2x2−6x+12

f(−2)=5(−2)3+2(−2)2−6(−2)+12

=5×−8+2×4+12+12

=−40+32=−8

∴ Remainder=−8

Answers:

=================================================

Explanation:

Let's compute the discriminant. Here we have a = 1, b = 1, c = -2

d = b^2 - 4ac

d = 1^2 - 4(1)(-2)

d = 9

The fact that d > 0 tells us we have two different real number solutions.

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

We can use the quadratic formula to solve, or we can factor. I'll use the factor method.

x^2 + x - 2 = 0

(x - 1)(x + 2) = 0

x-1 = 0 or x+2 = 0

x = 1 or x = -2

The two solutions are -2 and 1

Answer:

79/8

Step-by-step explanation:

[tex]\sf{9 \frac{7}{8} }[/tex]

[tex]\sf{ = \frac{(9 \times 8 )+ 7}{8} }[/tex]

[tex]\sf{ = \frac{72 + 7}{8} }[/tex]

[tex] = \purple{\sf{ \frac{79}{8} }}[/tex]

Answer:

Its C

Step-by-step explanation:

Just finished the homework and got it right

Using exponential functions, it is found that the correct option is given by:  [15, ∞)

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

The exponential function given in this exercise is:

[tex]M(t) = 25000(\frac{4}{5})^t[/tex]

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

The domain that contains all the years the car's value is less than $1,000 is composed by the values of t for which:

[tex]M(t) < 1000[/tex]

Thus, we have to solve the exponential inequality.

[tex]M(t) < 1000[/tex]

[tex]25000(\frac{4}{5})^t < 1000[/tex]

[tex](\frac{4}{5})^t < \frac{1}{25}[/tex]

[tex]\log{(\frac{4}{5})^t} < \log{\frac{1}{25}}[/tex]

[tex]-0.0969t < -1.39794[/tex]

[tex]0.0969t > 1.39794[/tex]

[tex]t > \frac{1.39794}{0.0969}[/tex]

[tex]t > 14.43[/tex]

Rounding, t greater than 15 years, and the correct option is:

[15, ∞)

A similar problem is given at https://brainly.com/question/16056918

Answer:

2 chcolate chips  & 4 pretzels

Step-by-step explanation:

Answer:

f(g(x)) =

[tex] \sqrt{8x \: - \: 13} \: + \: 9[/tex]

Step-by-step explanation:

f(x) =

[tex] \sqrt{x} \: + \: 9[/tex]

g(x) = 8x - 13

f(g(x) =

[tex] \sqrt{8x \: - 13} \: + \: 9[/tex]

Step-by-step explanation:

u can answer 1.08 or 1.08 × 10^0

Answer:

The area of the circle is 2.41 in^2

Step-by-step explanation:

You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.

1 3/4 = 7/4

7/4 = 1.74

Now, let's use the area of circle formula.

A = 1/4πd^2

A = 1/4 * π * 1.75^2

A ≈ 2.40528

Let's round the area to the nearest hundredth.

2.40528 = 2.41

Step-by-step explanation:

Given that,

We have to calculate the area of the square.

⠀⠀⠀⠀⠀★ Area of square = (Side)² ★

[tex] \dashrightarrow \quad \rm { Area = [10 - 3x(-2)]^2 \; cm^2} \\ [/tex]

[tex] \dashrightarrow \quad \rm { Area = [10 + 6x]^2 \; cm^2} \\ [/tex]

[tex] \dashrightarrow \quad \rm { Area = (10)^2 + (6x)^2 + 2(10 \times 6x) \; cm^2} \\ [/tex]

[tex] \dashrightarrow \quad \rm { Area = 100 + 36x^2 + 2(60x) \; cm^2} \\ [/tex]

[tex] \dashrightarrow \quad \underline{\boxed{\bf { Area = 100 + 36x^2 + 120x \; cm^2}}} \\ [/tex]

[tex]\rule{200}2[/tex]

Answer:

36x^2 + 120x + 100 cm^2.

Step-by-step explanation:

[10 - 3x (-2)]

= 10 + 6x

The area = (10 + 6x)^2

= (10 + 6x)(10 + 6x)

= 10*10 + 10*6x + 10*6x + 6x*6x

= 100 + 60x + 60x + 36x^2

= 100 + 120x + 36x^2.