MATHEMATICS HIGH SCHOOL

Simplify the following expression.

Answers

Answer 1

Answer:

Step-by-step explanation:

Step 1: Simplify the equation

7.22−4.9(5.1+3.1)

=51.84−4.9(5.1+3.1)

=51.84−(4.9)(8.2)

Step 2: Solve and subtract the numbers

=51.84−40.18

=11.66

Explanation in words:

- To solve this equation, the first step is to simplify the equation and at the end, the answer will result as = 51.84-(4.9)(8.2).

- To solve this equation, the second step is to solve that equation and break it down so we will have to subtract and at the end, the answer for this whole equation will result as = 11.66.

Answer:

= 11.66

Hope this helps.

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Evaluate the expression. 2x – 19, when x = –11 3 –41 –3 41

Answers

Substitute (-11) in for x. You will get 2(-11)-19. Then, use the order of operations to get -22-19=
-41.
Hope that helps!

Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of the outcomes are chosen at random, find the probability that the dart falls (a) within 2 inches of the center. (b) within 2 inches of the rim. (c) within the first quadrant of the target. (d) within the first quadrant and within 2 inches of the rim.

Answers

Answer:

a) The probability is 0.04

b) The probability is 0.36

c) The pprobability is 0,25

d) The probability is 0.09

Step-by-step explanation:

Lets calculate areas:

the target has a radius of 10 inces, hence the target area has a area on 10²*π = 100π square inches.

a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

Which set of data of temperatures has the largest dispersion as measured by its interquartile range?1) 15,17,19,21,21,22,28
2) 21,23,36,37,44,48,50
3) 10,19,22,23,23,29,44
4) 42,47,49,50,52,59,60

Answers

1) 22-17= 5
2) 48-23= 25
3) 29-19= 10
4) 59-47= 12

Which best describes the behavior of the conquistadors toward Native Americans? A.
The conquistadors robbed, enslaved, and killed Native Americans.

B.
The conquistadors paid tribute to the Native Americans in exchange for safe passage through their lands.

C.
The conquistadors tried to educate the Native Americans about the need to care for their lands.

D.
The conquistadors allowed the native people to keep their own beliefs and religions as long as they paid their taxes.

Answers

The answer would be (A. The conquistadors robbed, enslaved, and killed Native Americans.)

Answer:

A. is the correct answer

Step-by-step explanation:

Determine whether AB and C D are parallel, perpendicular, or neither.A (8,4), B (4, 3), C (4, -9), and D (2, -1)

Answers

Answer:

To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:

slope = (y2 - y1) / (x2 - x1)

Let's calculate the slopes of AB and CD:

AB:

Point A (8, 4)

Point B (4, 3)

slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4

CD:

Point C (4, -9)

Point D (2, -1)

slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4

Now, let's analyze the slopes:

1. If the slopes of AB and CD are equal, then the lines are parallel.

In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.

2. If the product of the slopes is -1, then the lines are perpendicular.

In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.

Therefore, AB and CD are perpendicular to each other.

In summary, AB and CD are perpendicular lines.

Step-by-step explanation:

What is the slope-intercept form of the function that contains the point (1, –2) and has a slope of –3?Y= __ x + __

Answers

Well, from the info given, you cannot automatically put it into slope intercept form. You have to put it into point slope form first and then convert it.

Point slope form looks like this: y - y1 = m(x - x1)

Now, with the info it looks like this: y - (-2) = -3(x - 1)

Now you distribute and change the - (-2) to +2 (because subtracting a negative is the same as adding a positive) and you get: y + 2 = -3x - 3

Now, you subtract 2 to get y by itself (we are converting now)

y = -3x - 5

Hope this helps!

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