Can someone help please? :)A storage tank holds 235,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.

Answers

Answer 1

Answer: Vtotal=25 times volume of each small cylinder

find volume of each cylinder small
V=hpir^2
r=5
V=hpi5^2
v=hpi25
use 3.14 for pi
V=78.5h

Vtotal=25 times vsmal contanier

25 of these
mulitly volume by 25
78.5h times 25=1962.5h

235500=1962.5h
divide both sides by 1962.5
120=h
the height of each cylnder was 120 inches or 10 feet

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What is 62.5% in two equivalent forms ?

Answers

Answer: Two equivalent forms are :

$(5)/(8)\ and\ (125)/(200)$

Step-by-step explanation:

Since we have given that

62.5%

We have to write in equivalent forms:

1) First equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=(625)/(1000)\n\n=(25)/(40)\n\n=(5)/(8)$

2) Second equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=\frac{625}[1000}\n\n=(625/ 5)/(1000/ 5)\n\n=(125)/(200)$

62.5%

Percents are parts of 100, so write 62.5 as a fraction over 100:

62.5/100

Divide the numerator and denominator by 12.5:

62.5 / 12.5 = 5
100 / 12.5 = 8

5/8

This is one form.

62.5 / 100 = 0.625

This is another form.

Let n be a positive integer.(a) Prove that
n^3 = n + 3n(n - 1) + 6 C(n, 3) by counting the number of ordered triples (a,b,c), where 1 <= a, b, c <= n, in two different ways.

(b) Prove that
C(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . . + (k)(n - k + 1) + . . . + (n)(1), by counting the number of subsets of {1, 2, 3, . . ., n + 2} containing three different numbers in two different ways.

Answers

Answer:

Description of the given points can be defined as follows:

In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, t get a grumpy face.

In point b, the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.

Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.

A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).

Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.

(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.

First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.

Find the area?????????

Answers

If we slice this down the middle and fit it together like a puzzle we'll get a rectangle base 9.6/2 and height 4.8+9 so area (9.6/2)(4.8+9) = 66.24 square units.

Choice d

Think of the area divided into two parts.

A rectangle, 4.8 units by 9.6 units,

and a triangle with base 9.6 units and height 9 - 4.8 = 4.2 units.

Find the areas of the rectangle and triangle and add them.

Rectangle:

A = LW = 4.8 * 9.6 = 46.08

Triangle:

A = bh/2 = 9.6 * 4.2/2 = 20.16

Add the areas:

46.08 + 20.16 = 66.24

Answer: d. 66.2 units^2

If f(x) = -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).

Answers

Answer:

all work is pictured and shown

If 25% of the students in elementary algebra courses receive a grade of A, and there are 300 students enrolled in elementary algebra this year, how many students will receive an A.

Answers

Answer:

Total number of students receiving A grade = 75

Step-by-step explanation:

Total number of students enrolled in elementary algebra this year =300

Percentage of students receiving a grade of A = 25%

To find number of students that will receive a grade of A.

Solution:

In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.

Number of students receiving A grade = $25\%\ of\textrm{ Total number of students}$