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-BARSIC- [3]
3 years ago
7

Daniel worked for 213 hours and earned $18.20.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0
Hello there! To find out how much Daniel would make if he worked 514 hours, we can write and solve a proportion. Set it up like this:

18.20/213 = x/514

This is because we are looking for the amount of money made after 514 hours of work. That is represented by the variable "x", but we know the amount of hours work, so they are lined up together. Cross multiply the values. 18.2 * 514 is 9,354.8. 213 * x is 213x. So, you are left with 9,354.8 = 213x. Now, divide each side by 213 to isolate the "x". 9,354.8/213 is 43.9192488 and other numbers behind it or 43.92 when rounded to the nearest hundredth. x ≈ 43.92. Daniel would make $43.92 if he worked for 514 hours.
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a

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2 years ago
Dante plans to put 80% of his paycheck into a savings ccount and spend the other 20%. His paycheck this week was $295. About how
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3 years ago
Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.
snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

so

1)

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t²  ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁  and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

2)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

3)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t  and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

8 0
3 years ago
How to draw a parallelogram that has 4 parallel lines
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I thought of a number, added 4 5/7 to it, and got the number equal to the original one times 12. What was the original number?
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Answer:

x=3/7

Step-by-step explanation:

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4 5/7 = 11x

x = 3/7

6 0
3 years ago
Read 2 more answers
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