Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?

Answers

Answer 1

Answer:

16 pots

Step-by-step explanation:

We first need to find out the amount of dirt that can be filled into a single flowerpot.

We use the formula to find the cylinder's volume.

π[tex]r^{2}[/tex][tex]* h[/tex]

Height is equal to ten, Radius is equal to 7.

49π [tex]* 10[/tex]

≈ 1539.38

25,000 divided by 1539.38

≈ 16.24

He can fill 16 pots fully.


Related Questions

What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer

Answers

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

Categories the graph as linear increasing, linear decreasing, exponential growth, or exponential decay

Answers

Answer:

Step-by-step explanation:

This graph is both linear and decreasing, as we move from left to right.


You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *

Answers

Answer:

the first plan is better

this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher

2. the future value of option 1 is higher than that of option 2

Step-by-step explanation:

The effective annual rate can be used to determine which option is better

the option with the higher effective annual rate is the better option

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.07/12)^12 - 1 = 7.23%

option 2

EAR = e^r - 1

2.7182818^0.0685 - 1 = 7.09%

2nd method of determining the better investment is to determine the future value of each option

Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08

option 2 = 800e^(0.0685 x 6) = 1206.60

option 1 has the higher future value

Answer:6757.62

Step-by-step explanation:

use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.

What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42

Answers

Answer:

410

Step-by-step explanation:

Inputs are x's

Substitute the 18 where you see the x

y = 23(18) - 4

y= 414 - 4

y = 410

If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?

Answers

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

How much shredded newspaper did each person at the table receive?

Answers

Answer:

Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo

Lydia bought a car for 20,000. It is expected to depreciate at a rate of 10% per year. What will be the value of the car in 2 years? use y=a(1-r)^t and round to the nearest dollar

Answers

Answer:

$16,200

Step-by-step explanation:

y = 20,000(1 - 0.1)^2

y = 20,000(0.9)^2

y = 20,000(0.81)

y = 16,200

$16,200

help please, 17 points for this question

Answers

Answer:

24 and 15

Step-by-step explanation:

Answer:

it is not 17 points for this question it is 9 points.

Russell, Sarah, and Terry share money in the ratio 2:5:8. In total they have £120. Work out how much each gets.

Answers

Answer:

£16, £40, £64

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 + 8 = 15 parts

Divide the amount by 15 to find the value of one part of the ratio.

£120 ÷ 15 = £8 ← value of i part of ratio , then

2 parts = 2 × £8 = £16 ← amount Russell gets

5 parts = 5 × £8 = £40 ← amount Sarah gets

8 parts = 8 × £8 = £64 ← amount Terry gets

Answer:

$16, $40, $64

Step-by-step explanation:

The ratio is 2:5:8. Altogether, this adds up to 15. So they divided $120 into 15 portions. 120/15=8.

Russel got 2 portions of 8 dollars, Russel got $16

Sarah got 5 portions of 8 dollars, Sara got $40

Terry got 8 portions of 8 dollars, Terry got $64

Please help I’ll give branliest

Answers

Answer:

optin d) 8

Step-by-step explanation:

           [tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]

Answer: 8

Explanation:
2x2= 4
4x2= 8
Split up the equation to help:) Since its regular multiplication it doesnt effect the product by doing it in steps

The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.

x=−6
x=0
x=1
x=2
x=3
x=6

Answers

Answer:

x = -1, 6

Step-by-step explanation:

Equation of function 1 is,

y₁ = x² - 4x

Equation of function 2 is,

y₂ = x - 6

If y₁ = y₂

x² - 4x = x - 6

x² - 4x - x + 6 = 0

x² - 5x + 6 = 0

x² - 6x + x + 6 = 0

x(x - 6) + 1(x + 6) = 0

(x + 1)( x - 6) = 0

x = -1, 6

Answer:

x = 2 and x = 3

Step-by-step explanation:

y1 = 2^2 - 4(2)

2 x 2 - 8= -4

y2 = 2 - 6 = -4

y1 = 3^2 - 4(3)

9 - 12 = -3

y2 = 3 - 6 = -3

Anyone wanna play Ka Hoot?

Answers

Step-by-step explanation:

Education is anyday more important than money. ... But education is knowledge and through knowledge, we can rule over the whole world. Knowledge is a wealth more important than money. Money can buy an object, but not the thought process (knowledge) that went into creating that object.

a,64.25+35.25+25
b, 58.42+32.8+5.16
c,135+360+65+40
d,463+318+137+22
e,(42.43+43.57+430-360:4
f,(372-19.4+(981:9-13)
g,456:2.18+456:3-102
h,20+21+22+...=29+30

Answers

Answer:

I don't really understand but Hope's this helps

Step-by-step explanation:

what is the question

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 ∘with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.

Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ladder, hence:

sin(64) = 28 feet/x

x = 28 feet / sin(64)

x = 31.2 feet

Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

Find out more at: https://brainly.com/question/25122825

-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
Find x. Don’t forget to combine like terms.
Please help this is due in a few minutes

Answers

Answer:

x = -3

Step-by-step explanation:

-8x - 18 + 7 + 2x = 5 - 3x - 4 + x

-8x + 2x + 3x - x = 18 - 7 + 5 -4

-4x = 12

x = -3

What is the surface area of a sphere with a radius of 19 units?

Answers

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.​

Answers

Answer:

$80

Step-by-step explanation:

I = Prt

P = 600

r = 5%

t = 2 yrs and 8 mos = 8/3 yrs

I = 600(0.05)(8/3)

I = $80

Answer:

I believe the answer is $80.001.

Step-by-step explanation:

i used a calculator

Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.

Answers

Answer:

32.7°

Step-by-step explanation:

Applying,

The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)

S' = S/n................... Equation 1

If the sum of the exterior angle of a convex polygon(S) = 360°

From the diagram in the question,

Given: n = 11 sides

Substitute into equation 1

S' = 360/11

S' = 32.7°

can somebody help me with these questions please ​

Answers

Jennjjjjjjjjjjjjjjjjjjjjjjjjjjj

this is the last question plz help

Answers

Answer:

Skewed right as the values decrease to the right.

Helppppppppppp:)))))))))

Answers

Hi there!

We are given the set of ordered pairs below:

[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]

1. What is the domain?

Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

I'LL MARK BRAINLIEST !!!

Evaluate the expression 4x2+3y for x = 5 and y =6.

Answers

Answer:

4(5)^2 + 3(6)

Step-by-step explanation:

200+18= 218

The sum of three consecutive even numbers is 24 , find the numbers.

Answers

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

Divide the total by amount of numbers. This will be the middle value:

24/3 = 8

The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.

6 + 8 + 10 = 24

The 3 consecutive even numbers are 6, 8 and 10

find the value of discriminant of the equation X square + 10 x - 7 =02

Answers

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your answers.

Answers

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

circle the terms in the expression 6 + x + 3x + 5x2​

Answers

Step-by-step explanation:

terms are the elements separated by the plus or minus signs.

CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.

Answers

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

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

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3


What is the slope of the line shown below?
10 -
(3,9)
(-4,2)
В. -6
ОООО
С. -1
D. 1

Answers

Answer:

D. 1

Step-by-step explanation:

Slope (m) formula:

m = y2 - y1 / x2 - x1

m = 2 - 9 / -4 - 3

m = -7/-7

Negative ÷ Negative = Positive

m = 1

B
47°
F
G
A
C
20
J
H Н

Answers

Answer:

umm, sorry! but what are you trying to ask??

( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4

Answers

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

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