How do I write -2 3/4 as a decimal number?

7) Center= (-1,2) Radius= \(\boldsymbol{\sqrt{8}}\) Equation: \((x+1)^2+(y-2)^2 = 8\)

8) Center= (3,13) Radius= 13 Equation: \((x-3)^2+(y-13)^2 = 169\)

=========================================================

Explanation:

Problem 7

Let's find the distance from (-1,2) to (-3,4)

\((x_1,y_1) = (-1,2) \text{ and } (x_2, y_2) = (-3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-3))^2 + (2-4)^2}\\\\d = \sqrt{(-1+3)^2 + (2-4)^2}\\\\d = \sqrt{(2)^2 + (-2)^2}\\\\d = \sqrt{4 + 4}\\\\d = \sqrt{8}\\\\\)

This is the radius because it stretches from the center to a point on the circle, so \(r = \sqrt{8}\)

Squaring both sides will get us \(r^2 = 8\)

One useful template for a circle is the equation \((x-h)^2+(y-k)^2 = r^2\\\\\)

(h,k) is the center

r is the radius

Let's plug in the given center (h,k) = (-1,2) and the r^2 value we found earlier.

\((x-h)^2+(y-k)^2 = r^2\\\\(x-(-1))^2+(y-2)^2 = 8\\\\(x+1)^2+(y-2)^2 = 8\\\\\)

You can confirm this by using a tool like Desmos. See below.

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Problem 8

The endpoints of the diameter are (-2,1) and (8,25)

The center is the midpoint of these endpoints.

The midpoint of the x coordinates is (-2+8)/2 = 3

The midpoint of the y coordinates is (1+25)/2 = 13

The center is (h,k) = (3,13)

Now find the distance from the center to one of the points on the circle, let's say to (8,25)

\((x_1,y_1) = (3,13) \text{ and } (x_2, y_2) = (8,25)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-8)^2 + (13-25)^2}\\\\d = \sqrt{(-5)^2 + (-12)^2}\\\\d = \sqrt{25 + 144}\\\\d = \sqrt{169}\\\\d = 13\\\\\)

The radius is exactly 13 units.

So,

\((x-h)^2+(y-k)^2 = r^2\\\\(x-3)^2+(y-13)^2 = 13^2\\\\(x-3)^2+(y-13)^2 = 169\\\\\)

is the equation of this particular circle.

Visual confirmation is shown below.

#1

Point on circle=(-3,4)

Radius :-

\(\\ \rm\Rrightarrow \sqrt{(-1+3)^2+(2-4)^2}\)

\(\\ \rm\Rrightarrow \sqrt{2^2+(-2)^2}\)

\(\\ \rm\Rrightarrow \sqrt{8}\)

\(\\ \rm\Rrightarrow 2\sqrt{2}\)

Now equation

\(\\ \rm\Rrightarrow (x-h)^2+(y-k)^2=r^2\)

\(\\ \rm\Rrightarrow (x+1)^2+(y-2)^2=8\)

#2

Endpoints of diameter

. Midpoint is the centre

Diameter

Radius=26/2=13

Equation

Answer: Z=-5

Step-by-step explanation:

we want to group Z on only one side of the equation

-18=Z-3+2Z

-18-Z-2Z=-3 (subtract Z and 2Z from both sides, to remove Z from one side and to move it to the other side)

-3Z=-3+18 (regroup Z and add 18 on both sides, to have Z on only one side)

-3Z=15 (add -3+18)

3Z=-15 (multiply both sides by -1 to get a positive Z)

Z=-5 (divide both sides by 3)

Hello!

The distance, d, is less than 200 miles.

B. d > 200

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

Step-by-step

Closure property is true for division except for zero.

Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

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Answer:

we can conclude that it appears plausible that the tension distribution is normal since the sample of 30 readings is taken.

Step-by-step explanation:

We are given that the accompanying normal probability plot was constructed from a sample of 30 readings on tension for mesh screens behind the surface of video display tubes used in computer monitors.

According to Central Limit Theorem we can have a normal distribution if we take a large sample.

So the question is how much sample size do we need?

The rule of thumb is to take a sample size of at least 30 to ensure a normal distribution.

Therefore, we can conclude that it appears plausible that the tension distribution is normal since the sample of 30 readings is taken.

The area of a circle is given by:

Now, we replace the radius in the function, that is:

We then have that the area of the circles is aproximately 113.1 squared meters.

The length in feet of the longest part of the garden would be = 6ft

A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.

The area of the given triangle = 54in²

The perimeter of the given triangle = 36 in.

Using the formula for area of a triangle ;

Area = ½ base(b) ×height(h)

where base = 9 in

54 = 1/2 × 9 × h

Make h the subject of formula;

h = 54×2/9

h = 108/9

h = 12

But the perimeter = sum of the whole sides of the triangle

perimeter = 36

side a = 9

side b = 12

side c = X

that is , 36 = 9+12+X

make X the subject of formula;

X = 36-21

X = 15in

Therefore, 15 in when converted to feet;

2 ft = 5 in

X ft = 15 in

xft = 2 × 15/5

X ft = 30/5

X ft = 6ft

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The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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Step-by-step explanation:

2+7+5+3+4=21

if there was a picture i could calculate the miles it would take if they went straight home instead of making turns

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:

Your answer is 9

Step-by-step explanation:

√9=3

3-7=-4

The given statement is true.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

3.99

Step-by-step explanation:

Divide circumference by pi. The answer will be the circles diameter and then divide this by 2 for the radius

Answer:

  cos(20°)

Step-by-step explanation:

The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.

The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.

  sin(70°) = cos(20°)

The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.

Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:

(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)

Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:

Six runs were scored by Kim's squad in the first four innings.

The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:

Eight innings times the number of runs per inning is eight runs for Kim's team overall.

Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:

The other team scored a total of 17 runs.

Combining everything, we may represent the inequality as follows:

Total runs scored by Kim's team surpasses all other teams' total runs.

8p + 6 > 17

When we reduce the inequality, we obtain:

8p > 11

When we multiply both sides by 8, we get:

p > 11/8

In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.

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Answer:

6+4p>17

Kim's team scored a minimum of

3 runs per inning.

Step-by-step explanation: Khan Academy

No, what they said is not fact.

The statement "producing great engineers who benefit science and technology in India is the most important function of IITs" and "IITs are greatly improving the image of India in the West" are both important functions of IITs, and the priority of these functions may depend on individual perspectives and goals.

Some people might argue that producing engineers is more crucial for the development of India's technology and economy, while others might argue that improving the image of India in the West is equally important for increasing its global recognition and competitiveness. Both functions play important roles and it is a matter of perspective which one is considered more important.

Correct Question :

Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west

Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.

What they said is fact or not? Explain.

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The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

45

Step-by-step explanation:

Answer:4

Step-by-step explanation:

all 4

Answer:

\(2(w-8)=9\)

Step-by-step explanation:

N/A

If your looking for the value of "x" it is 4.

Hope this helped!

Input: list1 = [2, 7, 5, 64, 14]

Output: [7, 5]

Input: list2 = [12, 14, 95, 3, 73]

Output: [95, 3, 73]

Using for loop: Iterate each element in the list using for loop and check if num % 2 != 0. If the condition satisfies, then only print the number.

# Python program to print odd Numbers in a List

# list of numbers

list1 = [10, 21, 4, 45, 66, 93]

# iterating each number in the list

for num in list1:

   # checking condition

   if num % 2 != 0:

   print(num, end=" ")

Output: 21 45 93

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