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2 years ago

12

What is the degree of the polynomial

5}+3x^{4}" alt="4x^{5}+3x^{4}" align="absmiddle" class="latex-formula">

1 answer:

Hatshy [7]2 years ago

3 0

The degree is 5 since it is the larger one

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The ball used in a soccer game may not weigh more than 16 ounces or less

Liono4ka [1.6K]

In order for the ball to be used in the game, it must be able to meet the minimum and maximum weight requirements. These are the limits of the weight of the ball. If it exceeds the maximum limit of 16 ounces or below the minimum limit of 14 ounces, the ball will not be approved.

So, by adding 1.5 ounces, that would mean that the initial weight of the ball did not reach the minimum limit. The initial weight of the ball, denoted as x, have two possible values. The first value is the initial weight plus added with 1.5 ounces would reach 14 ounces.

x + 1.5 = 14
x = 12.5 ounces

The other scenario is when the initial weight is added to reach the maximum requirement of 16 ounces

x + 1.5 = 16
x = 14.5 ounces

From both answer, we could conclude that the initial weight has to be 12.5 ounces. If the initial weight were 14.5 ounces to begin with, there should be no need for air. It cans till be approved to be used.

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2 years ago

How to find these key features to sketch a rough graph

Ivahew [28]

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2 years ago

Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulti

ss7ja [257]

Answer:

The alcohol concentration of the resulting solution is 58.4%

Step-by-step explanation:

- At first we must to find the quantity of pure alcohol in the 8 liters

∵ The alcohol concentration is 48% in 8 liters

∴ The quantity of pure alcoholic = $\frac{48}{100}*8=3.84$ liters

- She added 2 liters pure alcohol to the solution that means the solution

increased by 2 liters and alcohol quantity increased by 2 liters

∵ She added 2 liters pure alcohol

∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters

∴ The resulting solution = 2 + 8 = 10 liters

- Now we need to find the concentration of alcohol in the resulting

solution

∵ The quantity of pure alcohol = 5.84 liters

∵ The resulting solution = 10 liters

∴ The concentrate of alcohol = $\frac{5.84}{10}*100$ % = 58.4%

The alcohol concentration of the resulting solution is 58.4%

5 0

2 years ago

Read 2 more answers

If x+1/x = 5 find the value of x^3 +1/x^3. pls solve

Korolek [52]

Answer:

1) solve x+1/x = 5

$\frac{x + 1}{x} = 5$

$x + 1 = 5x$

$x - 5x = - 1$

$- 4x = - 1$

$x = \frac{ -1}{ - 4}$

$x = \frac{1}{4}$

2) solve x³+1/x³

$x {}^{3} + \frac{1}{x {}^{3} }$

substitute x = 1/4 into the expression

$( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} }$

$\frac{1}{64} + \frac{1}{ \frac{1}{64} }$

$\frac{1}{64} + \frac{64 \times 1}{1}$

$\frac{1}{64} + 64$

$\frac{4097}{64} \: or \: 64.02$

5 0

2 years ago

Martin would like to start training to run a marathon. The first week he runs a total of 15 miles. He would like to run 0.3 more

anygoal [31]

Answer: 15.3 miles

Step-by-step explanation:

From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.

We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:

= 15 miles + 0.3 miles

= 15.3 miles

3 0

2 years ago