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Paha777 [63]
2 years ago
6

What is the sum of the coefficients in the expression of 4x^4 - x^3 - 2x^2 + 3 - 4

Mathematics
1 answer:
Zinaida [17]2 years ago
4 0

9514 1404 393

Answer:

  0

Step-by-step explanation:

The coefficients are the numerical values that are not exponents. Their sum is ...

  4 -1 -2 +3 -4 = 0

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Hannah can type 450<br> words in 6 minutes.<br> How many words per<br> minute can she type?
Black_prince [1.1K]

Answer:

75

Step-by-step explanation:

That means she type 450/6 minutes. Take 450 and divide it by 6.

450/6 = 75

6 0
3 years ago
An acid is a substance that increases the concentration of H3O+ ions in solution. Look at the reaction below of phenol (C6H5OH)
Law Incorporation [45]

Answer:

The reactant that acts as an acid, by contributing an H⁺ ion to create H3O+ in the chemical equation is C₆H₅OH.

Step-by-step explanation:

According to Brønstend-Lowry, an acid is a substance that transfer a proton (hydrogen cation, H⁺) to a base, forming a base conjugate for the first and an acid conjugate for the second.      

From the following reaction:

C₆H₅OH(aq) + H₂O(l)  →  C₆H₅O⁻(aq) + H₃O⁺(aq)

   

We have that the C₆H₅OH transfer a proton to the water to form its conjugate base C₆H₅O⁻ and the conjugate acid of water H₃O⁺. Hence, the C₆H₅OH is the acid and the water is the base.

Therefore, the reactant that acts as an acid, by contributing an H⁺ ion to create H3O+ in the chemical equation is C₆H₅OH.

I hope it helps you!

8 0
3 years ago
Read 2 more answers
The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The
aksik [14]

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

y = ab^x

At point (0,270), we have:

ab^0=270

a= 270

At point (1.5,80), we have:

ab^{1.5} = 80

Substitute 270 for a

270b^{1.5} = 80

Divide both sides by 270

b^{1.5} = 0.2963

Take 1.5th root of both sides

b =0.44

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

a= 270

b = 0.44

So, the exponential equation is:

y =270 * 0.44^x

In terms of m and h, we have:

m =270 * 0.44^h

Hence, the equation relating m to h is m =270 * 0.44^h

Read more about exponential equations at:

brainly.com/question/11832081

6 0
2 years ago
A race car can complete 8 laps in 1/3 hour. At this rate, how many hours will it take the race car to complete 1 lap? 1/240 1/24
Marrrta [24]

Answer:

<h3>1/24</h3>

Step-by-step explanation:

The race car is doing 8 laps in 1/3 hour, in one hour the car is doing:

8laps * (1/3) hour) = 8*3 laps / 1hour = 24 laps/hour.

Now, to complete one lap, the car will it take:

1 lap * (1 hour / 24 laps) = 1/24 hours the race car requires to complete 1 lap. Right answer is:

<h3>1/24</h3>
8 0
2 years ago
You are making lemonade for your lemonade stand. Each liter of lemonade you make uses 3.5 tablespoons of lemonade powder, and yo
Cloud [144]
You can only make 4 liters of lemonade. So that means no.
8 0
3 years ago
Read 2 more answers
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