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3 years ago

? What is the asthenosphere? Select all that apply.

Mathematics

2 answers:

Basile [38]3 years ago

6 0

Answer:part of the earths crust and part of the earths core

Step-by-step explanation:

dezoksy [38]3 years ago

3 0

Answer:

the answer is ( 2 ) Part of the Earth's mantle

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5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the

lorasvet [3.4K]

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

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3 years ago

Miss Lopez has two kinds of flowers in her garden the ratio of lilies to daisies in the garden is 5/3 if there are 10 lilies wha

pentagon [3]

Answer:

Step-by-step explanation:

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4 years ago

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2/5y-4+7-9/10y simplify

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4 years ago

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The volume of the box is 400 inches and the height is 5 inches and it’s 8 inches wide what is the length of the box

levacccp [35]

Answer:

10 inches

Step-by-step explanation:

length=V/WxH

=400/40

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3 years ago

Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If

Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers $\mathbb{Q}$

Step-by-step explanation:

An element $p$ of the set $H$ has the form

$p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}$

where $a_{0},a_{1},a_{2},a_{3},a_{4}$ are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

$p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}$

$\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}$

The properties that $H$ , together the operations of vector addition and scalar multiplication, must satisfy are:

Conmutativity
Associativity of addition and scalar multiplication
Additive Identity
Additive inverse
Multiplicative Identity
Distributive properties.

This is not difficult with the definitions given. The most important part is to show that $H$ has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that $\mathbb{Q}$ is a field, then it is closed under sum and multiplication.

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3 years ago