MATHEMATICS HIGH SCHOOL

To multiply or divide a number by 10,000, how many places should you move the decimal point?A : four
B : three
C : two
D : one

Answers

Answer 1
Answer: the answer is 4    ur welcome

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I need help plzzzzz​

I really need help please!!

Answers

Using similar triangles, we see that 12/x = x/16.  Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, 12^2+y^2=x^2.  Since x^2=192, we know that 144+y^2=192.  Subtracting 144 from both sides, we see that y^2=48, so y=4 √(3).

Describe the dimensions of two different prisms that each have a volume of 2400 cubic centimeters. Then draw each prism.

Answers

One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120. 

V = l x w x h
V = 4  x 5 x 120
V = 2400

This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.

Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30. 

V = l x w x h
V= 8 x 10 x 30
V = 2400

This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which statement best describes Kylie’s explanation?Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answers


The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product 
The correct answer is: (C) Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Explanation:
Kylie did not determine the product correctly, as the perfect-square trinomials are of the form:
a^2x^2 \pm 2axb \pm b^2

and are expressed in the squared-binomial form as:
(ax \pm b)^2

The correct product would be:
(-4x + 9)^2 = (-4x)^2 + 2(-4)(9)x + (9)^2 = 16x^2 - 72x + 81

Hence the correct answer is that Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly (Option C).

The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α

Answers

Answer:

D. +3.82

Step-by-step explanation:

The computation of the test static for this test is shown below:

Data provided in the question

\bar x= $8,745

\mu = $8,500

\sigma = $1,200 and n = 350

Now based on the above information, the test static for this test is

z = (\bar x - \mu)/((\sigma)/(√(n) ) )

z = (\$8,745 - \$8,500)/((\$1,200)/(√(350) ) ) \n

= 3.82

= +3.82

Hence, the test static for this test is +3.82

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Hello,

The slope of y-12=2x-8 is 2 thus the perpendicular will have as slope -1/2

y-3=-1/2(x-2)
or y=-x/2 + 4 is the equation searched.

Why is h²=p²+b²plz somebody help me ​

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²
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X^{2} +16xy+63y ^{2}