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timurjin [86]
3 years ago
6

A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

Area = 4x^6+12x^5+8x^4

Step-by-step explanation:

<u>The Complete Question:</u>

A rectangle has height  4x^3  and width  x^3+3x^2+2x. What is the area of the rectangle in terms of x?

<u>Solution:</u>

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4

This is the area of the rectangle.

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If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
Seven more than 4 times a number is 43 solve in algebraic equation?
zzz [600]

Answer:

x = 9

Step-by-step explanation:

4x + 7 = 43

4x = 36

x = 9

6 0
2 years ago
Which of the following is not a polynomial?
Darya [45]
A is not a polynomial
4 0
2 years ago
A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is s
Anastaziya [24]

Answer:

The answer to your question is 4 ft

Step-by-step explanation:

Data

Building's shadow = 288 ft

Building's high = 64 ft

Sarah's shadow = 18 ft

Sarah's height = ?

Process

1.- Use proportions to solve this problem

                               \frac{Sarah's height}{Sarah's shadow} = \frac{building's height's}{building's shadow}

2.- Solve for Sarah's height

  Sarah's height = \frac{Sarah's shadow x building's height}{building shadow}

3.- Substitution

  Sarah's height = \frac{18 x 64}{288}

4.- Simplification

  Sarah's height = \frac{1152}{288}

5.- Result

  Sarah's height = 4 ft

5 0
3 years ago
a bag contains six red balls, six greens balls, five yellow balls and three black balls. A ball is picked at random from the bag
madreJ [45]

Answer:

the 6 greens

5 0
3 years ago
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