Moso bamboo can grow 90 cm per day. a Lombardy poplar can grow up to 1 cm per day. A botanical garden has a 5.5 m tall Lombardy poplar and a 0.3 m tall Moso bamboo. If each plant grows at its maximum rate, which plant will be the tallest at the end of the week?

Answers

Answer 1
Answer: Srry just needed points

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In ∆ABC the angle bisectors drawn from vertices A and B intersect at point D. Find m∠ADB if: m∠C=γ
Answers to 1-6 please :)
If m is the number of magic markers, which variable expression represents the phrase below?The difference between the number of magic markers and 7 colored pencils A. � ⋅ 7 m⋅7 B. � + 7 m+7 C. � − 7 m−7 D. � ÷ 7 m÷7
Write the equation of the hyperbola that has a center at (4, - 1), a focus at (11, - 1), and a vertex at (0, - 1).

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm. a. What is the volume of the cylinder? Explain your method for finding the volume.
b. What is the total volume of the three balls? Explain your method for finding the total volume.
c. What percent of the volume of the container is occupied by the three balls? Explain how you would find the percent.

Answers

We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ = (4)/(3) π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.

R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = π r² h
V₁ = 3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³

b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × V₂ 
Vₐ = 3 × (4)/(3) π r³
Vₐ = 3 × (4)/(3) 3.14 (6.5 cm)³
Vₐ = 3,449.3 cm³

c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V = ( V_(1))/( V_(a) ) ×100 
V = (3,449.3)/(5,173.9) ×100
V = 0.6666 ×100
V = 66.66%
A. The volume of the cylinder can be computed because the statement "The balls just touch the top, bottom, and sides of the cylinder" gives a clue of the height and radius of the cylinder. The height is equal to 3 times the diameter of the balls, and its radius is the same as the balls' radius.

Vcylinder = 
πr^2h = π(13/2)^2 (3*13) = 5176.56 cm^3

B. The volume of the three balls is computed using the equation of V for spheres:

Vball = 3*4*π*r^2/3 = 3451.05 cm^3

C. The answer is the equal to the total volume of the balls divided by the volume of the cylinder

3451.05(100%)/5176.56 = 66.67%

In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste​

Answers

Answer:

let W and R represent white toothpaste and red toothpaste represently

n(W)=143

n(R)=135

n(WnR)=70

n( WuR)=?

Now,

n(WuR)=n(W)+n(R)_n(WnR)

=143+135_70

=208

that's all don't forget to write therefore.

Plz help .......................

Answers

( 6√(2))/( √(3) )

Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A

What is the greatest common factor of the terms in the expression 36a+54ab-27b?

Answers

The greatest common factor of the terms in the expression 36a+54ab-27bis 9 or 9(4a + 6ab + 3b)

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 36a+54ab-27b

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The greatest common factor of 36, 54, and 27 is 9

= 9(4a + 6ab + 3b)

Thus, the greatest common factor of the terms in the expression 36a+54ab-27bis 9 or 9(4a + 6ab + 3b)

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

The answer is 9

Step-by-step explanation:

Factor completely 5a2 + b.Prime

a(5a + b)

b(5a2)

ab(5a + 1)

Answers

\sf {5a^2+b~is~\boxed{\bf{prime}}}

It is prime because it has no common factors in 5a^2 and b.

The answer is A.
\left[\begin{array}{ccc}Prime\end{array}\right] is the correct answer.

Can anybody help me with this problem ? (_11^)P_7

Answers

₁₁P₇ = (11!)/((11 - 7)!)
₁₁P₇ = (11!)/(4!)
₁₁P₇ = (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(4 * 3 * 2 * 1)
₁₁P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5
₁₁P₇ = 110 × 72 × 42 × 5
₁₁P₇ = 7920 × 210
₁₁P₇ = 1,663,200