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larisa [96]
4 years ago
10

Calculate a) 20% of £150 b) 15% of 80 kg c) 85% of 2 500 m

Mathematics
1 answer:
GaryK [48]4 years ago
6 0

Step-by-step explanation:

p\%=\dfrac{p}{100}

a)\\20\%=\dfrac{20}{100}=\dfrac{2}{10}=0.2\\\\20\%\ of\ \£150\to0.2\cdot\£150=\£30\\\\b)\\15\%=\dfrac{15}{100}=0.15\\\\15\%\ of\ 80kg\to0.15\cdot80kg=12kg\\\\c)\\85\%=\dfrac{85}{100}=0.85\\\\85\%\ of\ 2500m\to0.85\cdot2500m=2125m

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Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3
Zina [86]

Answer:

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}

Step-by-step explanation:

We are given polynomial as

P(x)=x^3-3x^2+4x-7

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

=x^2+0x+4

=x^2+4

we can write as

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}


3 0
3 years ago
(c) Use a calculator to verify that Σ(x) = 64, Σ(x2) = 1118, Σ(y) = 628, Σ(y2) = 87,982, and Σ(x y) = 9,627.
amid [387]

The correlation based on the computation is 0.97.

<h3>How to compute the value?</h3>

It should be noted that the question is that we should simply calculate the correlation which is r.

The correlation will be:

= Σ(x y) / (Σ(x²) × Σ(y²)

= 9627/✓(1118 × 87982)

= 9627 ✓98363876

= 9627/9917.86

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7 0
2 years ago
Determine the value of K that would make this expression a perfect square
Mumz [18]

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4 years ago
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Nadya [2.5K]

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Step-by-step explanation:

Vertical angles are angles that are across from each other.

∠8 and ∠5 are across from each other.

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3 years ago
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False the +2 shifted to equation up 2 spots not left 2 spots

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3 years ago
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