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N76 [4]
3 years ago
8

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.

Mathematics
2 answers:
Nikolay [14]3 years ago
5 0
You would do 15 + 17. Which equals 32, and that is the least, then choose a number that is larger than 32.
yanalaym [24]3 years ago
3 0
The answer is thirty two
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A parallelogram is shown below:
nordsb [41]

9514 1404 393

Answer:

  A.  2 square feet

  B.  draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

  A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

  A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

__

B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

  A = 1/2bh

Using the given dimensions, ...

  A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle

7 0
2 years ago
Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
1 year ago
I need help , fast quick
Agata [3.3K]

Answer:

33

Step-by-step explanation:

So if u divide each number of players by the number of winners each time u come out with 3.something

So if ur looking for 100 players ud want the number of winners divided by that to equal 3.something

So 100/33=3.something

Plus every answer goes up so u also know its true

Hope this helped

Plz mark Brainliest ;p

8 0
3 years ago
Given the equation 2^2-^1=8^x-1 what is the value of x
Lady bird [3.3K]

Answer:

i can't solve it because it's not complete

you need something 2^2 (right here) -^1=8^x-1

Step-by-step explanation:

5 0
2 years ago
Carlos has $500 in his savings account that pays 3% simple interest. What is the amount of money Carlos will have in his bank ac
sleet_krkn [62]

Answer:

$1766

Step-by-step explanation:

hope this helps

4 0
2 years ago
Read 2 more answers
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