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Nana76 [90]
3 years ago
13

The height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely w

ith honey. Every day Cathy uses 500 cubic centimeters of honey from the container to make honey cookies. After how many days will the container be completely empty? Round your answer to the nearest whole number. (Use π = 3.14.)
17
20
33
40
Mathematics
1 answer:
user100 [1]3 years ago
8 0
We know that
[volume of a cone]=pi*r²*h/3
h=70 cm
r=15 cm
[volume of a cone]=pi*15²*70/3----------> 16485 cm³

if  <span>Cathy uses 500 cm</span>³ of honey----------------> 1 day
<span>16485 cm</span>³--------------------------------------> X
<span>X=16485/500-----------> 32.97 days

the answer is 33 days </span>
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What is 38000 nearest hundred thousand
rosijanka [135]
There's on 38000 there? is it meant to be 380000?
3 0
3 years ago
Please HELP!!!!! I need to know the missing value. PLease!!!!!!!!!!!!!!
GuDViN [60]

Answer:

w = 21.4 ft

Step-by-step explanation:

Area of Trapezoid = Area = (a+b)/2 * h

Where a and b are the bases of trapezoid, and h is the height.

In the figure we are given:

a= 32.3 ft

b=w=?

h= 22.9 ft

Area = 614.865 ft²

Putting values in formula

Area = (a+b)/2 * h

614.865 = (32.3 + w) / 2 * 22.9

1229.73 = 32.3 + w * 22.9

1229.73 / 22.9 = 32.3 +w

53.7 -32.3 = w

=> w = 21.4 ft

7 0
3 years ago
Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)? A) 3x − 2y + 17 B) −3x + 2y + 17 C) −2x − 2y + 17 D) −2x − 2y − 17
inysia [295]

Answer:

<u>C) −2x − 2y + 17</u>

Step-by-step explanation (PEMDAS):

First, we do <u>3 (y + 5)</u> because of the parenthesis:

6x − 5y + 2 − 8x + 3y + 15

Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right

6x − 5y + 2 − 8x + 3y + 15

<u>−2x</u> − 5y + 2 + 3y + 15

−2x <u>− 2y</u> + 2 + 15

<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>

8 0
3 years ago
Find the remainder for the quotient using either substitution or synthetic division.
zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

#SPJ1

7 0
1 year ago
Answer fast please and thank you
steposvetlana [31]

Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

7 0
2 years ago
Read 2 more answers
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