I need answer to this question

Answers

Answer 1

Answer: y - 6 =3( x - 6) <=> 3x - y =12.

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The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to estimate the resulting error, measured in squared inches, in the surface area of the ice cube.

Answers

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6*1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 * 0.001=0.012$

So the error is 0.012.

6) A student scored an 88, S2, and 76 on three math tests. What does the student need to get on the fourth test to have an average of 85 for all four tests? James wants to use algebra to solve this problem. Which equation should he use? 256 4x 85 256 x 85 85 x 256 256 85x

Answers

Equation B.
The average of the sum of the existing 3 scores plus the score of the new test should equal 85.

To solve this, multiply both sides by 4 and subtract 256. The student needs an 84 in order to have an average of 85.

If -4 (x-3) 5x=24,then x=12

Answers

-4(x - 3) + 5x = 24
-4x + 12 + 5x = 24
x = 24 - 12
x = 12

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is _______ cm. A. √ 3
B. 1
C. 3
D. 4

Answers

Answer:

The length of the other leg is 1 cm.

Step-by-step explanation:

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

As given

If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm.

Let us assume that the unknown length be x.

Thus

2² = Perpendicular² + Base²

$4^(2)= (√(3))^(2) + x^(2)$

$(√(3))^(2) = 3$

4 = 3 + x²

x² = 4 -3

$x = √(1)$

x = 1 cm

Therefore the length of the other leg is 1 cm.

The exact length of the other leg is B. 1 cm.

5.Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs haveshort tails, and fifteen of the dogs have long hair. There is only one dog that is black with
a short tail and long hair. Two of the dogs are black with short tails and do not have long
hair. Two of the dogs have short tails and long hair but are not black. 6 dogs are only
black. How many dogs are black with long hair but do not have short tails. How many
have only Long hair?

Answers

Answer:

Step-by-step explanation: yes

Final answer:

There are 3 black dogs with long hair but do not have short tails and 12 dogs that have only long hair.

Explanation:

The problem at hand relates to the field of set theory and involves operations such as counting and deduction. The first step is to organize the data into different categories of dogs: black dogs, dogs with short tails, and dogs with long hair. Thereafter, we combine the categories based on the additional information provided.

Firstly, there 12 black dogs. Of these, 1 dog has a short tail and long hair, 2 dogs have short tails and no long hair, and 6 dogs are only black. This sums up to 9 dogs. Thus, there are 12-9 = 3 black dogs with long hair but do not have short tails.

Secondly, 15 dogs have long hair. Among these, 1 dog is black with a short tail, and 2 dogs have short tails but are not black. This sums up to 3 dogs, leaving 15-3= 12 dogs with only long hair.

Learn more about Set theory here:

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For f(x) = 3x + 4, find f(2) and find x such that f(x) = 17.

Answers

Answer:

this is the he answer according to the information given

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