What is the difference of the polynomials? (8r6s3 – 9r5s4 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

Answers

Answer 1

Answer: To answer the question above, distribute the negative sign to the subtrahend and combine like terms.
8r6s3 - 9r5s4 + 3r4s5 - 2r4s5 + 5r3s6 + 4r5s4
Combining like terms
8r6s3 + (-9r5s4 + 4r5s4) + (3r4s5 - 2r4s5) + 5r3s6

Simplifying the expressions will give an answer of,

8r6s3 - 5r5s4 + r4s5 + 5r3s6

Answer 2

Answer:

The difference of the polynomials $(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$ is $8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

How to determine the difference?

The expression is given as:

$(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$

Open the bracket

$8r^6s^3 - 9r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6 + 4r^5s^4$

Collect like terms

$8r^6s^3 - 9r^5s^4 + 4r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6$

Evaluate the like terms

$8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

Hence, the difference of the polynomials $(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$ is $8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

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A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of spade or an ace (ii)a red king (iii)neither a king nor a queen (iv)either a king or queen.Thank you.

Answers

There are 52 cards in a standard deck so that would be the whole in the part/whole equation so
i... There are 13 spade cards and then 3 other aces since there are 4 suits of cards so 16/52 or about 0.30769 or 30.8% rounded

ii....There are 2 reds of each card in a standard deck along with 2 blacks so there would be 2 red kings which would be a 2/52 chance or about 0.0384 or 3.8% rounded

iii.... There are 4 kings and 4 queens in each deck so (52-8)/52 which is a 44/52 chance, 0.8461 about, or 84.6% rounded

iv..., As I said in iii, there are 8 kings and queens so an 8/52 chance, about 0.1538, or 15.4% rounded

A piece of wood is 7 feet long. how many 2-foot-long pieces can sue cut from the wood?

Answers

Sue can cut 3 2-foot pieces from the 7-foot board.

For the polynomial f(x)=(x^3)+(4x^2)-5x+6 use synthetic division to find f(-4)

Answers

Answer:

The remainder is 26.

Please check the attached diagram below to see the remaining solution.

Step-by-step explanation:

To do this:

Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right.

Please check the attached diagram below to see the remaining solution.

162 is what percent of 200

Answers

In order to find out what percentage of 200 162 is, we just need to divide 162 by 200.

162 / 200 = 0.81

To transform the decimal to a percentage, we just need to multiply it by 100.

0.81 * 100 = 81

162 is 81% of 200.
Hope that helped =)

Answer:

81%

Step-by-step explanation:

1. We assume, that 200 equals 100% -because it's the output value of the task

2. We assume, that x is the value we are looking for.

3. If 100% equals 200,so we can write it down as 100%=200

4. We know, that x% equals 162 of the output value, so we can write it down as x% =162

5. Now we have two simple equations

1) 100%=200

2) x%=162

where the left sides of both of them have the same units, and both of the right sides have the same units, so we can do something like that:

100%/x%=200/162

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. the solution for 162 is what percent of 200

100%/x%=200/162

(100/x)*x=(200/162)*x -we multiply both sides of the equation by x

100=1.234567890123*x -we divide both sides of the equation by (1.234567890123) to get x

81%=x

x=81%

now we have:

162 is 81% of 200

hope this helps!

15pts awarded and brainliest will be chosen!!!!!The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015 cm. What is the range of acceptable lengths for the rod?

Answers

Answer: OPTION B

Step-by-step explanation:

Let be "x" the acceptable lengths for the rod.

You know that the ideal length of the metal rod is 30.5 centimeters and the measured length may vary from the ideal length by at most 0.015 centimeters.

Therefore, knowing this, you can say that the acceptable lengths must be:

$30.5cm-0.015cm\leq x\n\n30.485\leq x$