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valentinak56 [21]
4 years ago
5

What is 67% of 112.6

Mathematics
2 answers:
Luba_88 [7]4 years ago
6 0
67/100 = x/112.6
67*112.6 = 100*x
7544.2=100x
7544.2/100 = 100x/100
75.442=x

75.442 is 67% of 112.6
saul85 [17]4 years ago
6 0

What is 67% of 112.6

67% out of 100 * 112.6

0.67 * 112.6

67 / 100 ( 112.6 ) ==> 75.442 (Rounded to Nearest 100's place; 100 )

Steps: What is 67% of 112.6:

Convert 67% into a Decimal, and Multiply by 112.6

0.67 * 112.6

Convert 67% into a decimal form:

67 % / 100 ==> 100 / 67 ===> ( Decimal: 0.67 ).

Percent is a ratio, a fraction express out of 100:

( 67% )

In order to convert a percent, to a ratio, divide by 100:

z % ===> z / 100

z ==> 67

z ===> 67% / 100

Convert to decimal form: ====> 0.67

Multiply:

0.67 by 112.6

0.67 * 112.6

Simplify:

0.67 * 112.6

===> 75.442

Therefore, Answer; 67 % of 112.6 is 75.442; (Rounded to Nearest hundreds place; 100 ).

Hope that helps!!!! : )

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Written as a simplified polynomial in standard form, what is
wolverine [178]

Answer:

\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35

Step-by-step explanation:

As we have to subtract \left(2x\:-\:5\right)^2 from \left(x-10\right)

so

\left(x-10\right)-\left(2x\:-\:5\right)^2

solving and simplifying the polynomial in standard form

\left(x-10\right)-\left(2x-5\right)^2

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=x-10-\left(2x-5\right)^2

=x-10-\left(4x^2-20x+25\right)      ∵ \left(2x\:-\:5\right)^2=\:4x^2-20x+25

=x-10-4x^2+20x-25

=-4x^2+21x-35

We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.

Thus, a simplified polynomial in standard form is:

\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35

3 0
3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

Finding First term using eq(1)

a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

So, First term a₁ = 3/2 and common ratio r = 2

6 0
3 years ago
What is i^84? a) -i b) i c) -1 d) 1
mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0
4 years ago
Two of largest mammals on earth are the blue wale and the African elephant. An adult male blue whale weighs about 170 tonnes or
Liula [17]

Weight is 1.7 × 10^5 kg

Step-by-step explanation:

  • Step 1: Given that the weight of the blue whale = 170 tonnes
  • Step 2: Convert the number of tonnes into kg.

⇒ 170 tonnes = 170 × 1000 (1 tonne = 1000 kg)

⇒ 170 tonnes = 17 × 10^4 kg

  • Step 3: Convert it into standard format, that is with just one decimal point.

⇒ 17 × 10^4 = 1.7 × 10^5 kg (Dividing and multiplying by 10 on both sides)

5 0
4 years ago
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elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

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Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0
4 years ago
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