Factor completely 3y^4 - 2y^2 - 5

Final answer:

The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.

Explanation:

The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).

The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:

P(A) = Number of favorable outcomes / Total number of outcomes

Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.

This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.

Answer:

The false statement is d; the quotient of two negative numbers is always negative.

The false statement is The quotient of two negative numbers is always negative.

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integers come in three types:

First, The sum of two positive numbers is always positive.

The statement is true.

For example, +3 + (+6)= +9

Second, The product of two negative numbers is always positive.

The statement is true.

For example, (-3) x (-6) = +18        { (-) x (-) = (+)}

First, The sum of two negative numbers is always negative.

The statement is true.

For example, -3 + (-12)= -3 - 12 = -15

First, The quotient of two negative numbers is always negative.

The statement is false.

For example, -9/(-3)= +3

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12 *16 = 192

1/2 *20*10 = 100

192 +100 = 292 square units

It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs.

Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.

Barry's work in 3 hours:

[tex]\(3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}\)[/tex]

Bob's work in 3.5 hours:

[tex]\(3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}\)[/tex]

Bill's work for the same time until Bob leaves (3.5 hours):

[tex]\(3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}\)[/tex]

Total work done by all three in the first 3.5 hours:

[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]

Remaining work to be done:

[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]

Time for Bill to complete remaining work:

Bill’s rate: [tex]\( \frac{1}{8} \text{ signs per hour}\)[/tex]

Time to paint [tex]\( \frac{3}{16} \text{ signs}\):[/tex]

[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]

Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs. This confirms that the correct answer is 1.5 hours.

Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.

Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.

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What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

y = 0.15625

The value of x + y +z is 15.

A type of number that includes the natural number and zero.

It does not include fractions and decimals.

Odd numbers are those real numbers that are not divisible by 2.

The variables x, y, and z are whole numbers.

The value of x, y, and z is greater than 2

xyz² = 735

The value of x + y +z has to be determined.

Let x = 3 ,then by the given statement y = 5 and z = 7

These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.

To check, they should satisfy xyz² = 735

=  3 * 5 * 7²

= 735

So these are the values of the variables and so,

The value of x + y +z is

= 3 + 5 + 7

= 15

It seems that your question is incomplete, the complete question is :

If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.

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Answer:

(B)

Step-by-step explanation:

From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).

Therefore,  No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.

Final answer:

To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.

Explanation:

To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.

Next, we divide both 56 and 32 by the GCF to find the other factor:

56 ÷ 8 = 7

32 ÷ 8 = 4

Now, we represent the original sum as the product of the GCF and the sum of the results from the division:

56 + 32 = 8 × (7 + 4)

When we simplify the sum inside the parentheses, we get:

8 × 11

Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.

The requried value of the given expression is (x² + 2)/x - 1.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1

Thus, the requried value of the given expression is (x² + 2)/x - 1.

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Answer:

[tex]10(a+b)[/tex]

Step-by-step explanation:

We are asked to write an algebraic expression for the given word phrase.

The sum of 'a' and 'b' would be [tex]a+b[/tex].

10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]

Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].

Answer:

2022 na wala parin sagot?

Step-by-step explanation:

tsk tsk tsk
kawawi ka naman

multiply both numbers by the same number

 so multiply by 2 you get 14/16

 multiply by 3 you get 21/24

 and so on