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Lady bird [3.3K]
3 years ago
10

How do you do this problem? Please show your work

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

-400

Step-by-step explanation:

-12

-------- is a fraction or expression,

0.03

Our job here is to simplify (reduce) the fraction as much as possible.

Get rid of the fraction in the denominator by multiplying both numerator and denominator by 100:

-1200

---------

    3

Now reduce this using division.  The correct result is -400.

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Here 2.4,1.6, 3.2,0.3, 1.5 . a)Calculate the means . b)Each piece of data is increased by 10. Calculate the new mean. c) Each ne
vagabundo [1.1K]

Answer:

1.8 ; 11.8 ; 4.18

Step-by-step explanation:

Given the data:

X : 2.4,1.6, 3.2,0.3, 1.5

Mean, m = Σx / n

Σx = 9 ; n = 5

m = 9 /5

m = 1.8

If data is increased by 10:

X : 12.4, 11.6, 13.2, 10.3, 11.5

Σx = 59 ; n = 5

m = 59 /5

m = 11.8

If data values is doubled :

X : 5.76, 2.56, 10.24, 0.09, 2.25

Σx = 20.9 ; n = 5

m = 20.9 /5

m = 4.18

7 0
3 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
2 years ago
Write an equation for the description.
AURORKA [14]

Answer:

L = 2w  134 = 2L + 2w

7 0
3 years ago
Read 2 more answers
Given sin x = .24, find cos x
Nikolay [14]

Answer:

17?

Step-by-step explanation:

if i did it correctly it should be around that <3

4 0
3 years ago
In 15 words or fewer, describe what happens to the coordinates when
andriy [413]

Answer:  The graph becomes narrower

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k   where

  • |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
  • (h. k) represents the vertex

A vertical stretch means the curve gets narrower.

A vertical shrink/compression means the curve gets wider.

8 0
2 years ago
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