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Dimas [21]
3 years ago
10

Work out ( 4 × 10 6 ) × ( 2 × 10 7 ) Give your answer in standard form.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

8 × 10¹³

Step-by-step explanation:

=> (4*10^6)*(2*10^7)

=> (4*2)*(10^6*10^7)

<u><em>When bases are same, powers are to be added.</em></u>

=> 8 × 10 ⁶⁺⁷

=> 8 × 10¹³

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Which products result in a perfect square trinomial? Select three options.
Kazeer [188]

Answer:

Second option: (xy+x)(xy+x)

Third option: (2x-3)(-3+2x)

Fifth option: (4y^2+25)(25+4y^2)

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2

(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9

(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625

8 0
3 years ago
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Which fraction below represents a terminating decimal?<br> A. <br> B. <br> C. <br> D.
Vsevolod [243]

Answer:

3/10

Step-by-step explanation:

The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.

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3 years ago
Given f(x) =4x-5,find f(3)
Crazy boy [7]

Answer:

f(3) = 7

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 4(3) - 5 = 12 - 5 = 7

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3 years ago
Sara is burdened with debt and runs the risk of defaulting on her car loan. She is also late with her credit card payments. What
Volgvan
She should contact a bank that is willing to help someone like her; she probably has a low enough credit score to be rejected by most. She should also seek financial help from a family member.
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3 years ago
What ratio form a poportion with 4/15
Sonja [21]

Answer:

4:15 is the ratio formed by the proportion.

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