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Darya [45]
3 years ago
15

In 1997, how many more liters of paint did home paint jobs use than commercial paint jobs? I really did not understand it.

Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer: i honestl

Step-by-step explanation:

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Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
The center of a circle is at (−3, 1) and its radius is 9.
pickupchik [31]

Answer:

Sorry but the correct answer is (x+3)2+(y−1)2=81

Step-by-step explanation:

Because the radius squared is the answer of the equation

4 0
3 years ago
The product of 263 and v is equal to the quotient of 215 and r
sveticcg [70]

Answer:

263 · v = 215 ÷ r

Step-by-step explanation:

I hope this helps!

3 0
3 years ago
Vincent’s Hotel currently pays a $2.20 common stock dividend. Dividends have been recently growing at a 3% annual rate and are e
Lerok [7]

Answer:

<u>The current value of Vincent's Hotel common stock is US$ 12.95, that fulfills the requirement of an investor of 17% of rate of return annually.</u>

Step-by-step explanation:

1. Let's review the information given for answering correctly the question:

Currently common stock dividend = US$ 2.20

Annual growth of the dividend for the next 2 years = 3%

Annual growth of the dividend after the next 2 years = 0%

2. What is the current value of Vincent’s Hotel common stock to an investor requiring 17% rate of return?

17% = 0.17

Current value of Vincent's Hotel common stock = 2.20/0.17

<u>Current value of Vincent's Hotel common stock = US$ 12.95</u>

8 0
3 years ago
Read 2 more answers
Laura placed a bucket of water in her garden. Over the course of a week, she watched the water evaporate and recorded the volume
nikdorinn [45]

Answer:

1. 0.5 L; 2. 5.00 L  

Step-by-step explanation:

V = 5.00 - 0.5n

If you include units, the equation becomes

V(in litres) = 5.00 L - (0.5 L/day) × (n days)

1. Rate of evaporation

When you include the units, it becomes easier to see that the water is evaporating at a rate of 0.5 L/day.

That is, 0.5 L of water evaporates each day.

The negative sign shows that the volume of water is decreasing.

2. Volume at the beginning

At the beginning of the experiment, n = 0. Then

V = 5.00 -0.5×0 = 5.00 - 0 = 5.00 L

The bucket originally contained 5.00 L of water.

 

4 0
3 years ago
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