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2 years ago

What is the common difference, d, of the sequence? −92, −74, −56, −38, −20, ... Enter your answer in the box.

2 answers:

4 0

Hello! The common distance of the sequence is 18. This is because 74 and 92 are 18 units apart, 74 and 56 are 18 units apart, 56 and 38 are 18 units apart, and so on. You can find the difference of the sequence by finding the distance between two numbers.

Katena32 [7]2 years ago

4 0

Your answer would be 18, because they are adding 18 each time

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Dobby the house-elf has dropped all his socks on the floor in the middle of the night! He has 30 red socks, 22 gold socks and 14

Ugo [173]

There is a total of 66 socks on the floor the chance of picking up a red sock is 30 in 66 which is equal to a 45% chance. After picking up one sock the chances of getting another red sock is 29 in 65 which is around 44%. Now I believe your answer is 45% or around 30 socks. I hope this helped but please let me know.

3 0

2 years ago

Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

3 0

2 years ago

The diner sells bagels for $0.75 each. the bagel shop sells 1 dozen for $7.00. which is the better pric

Varvara68 [4.7K]

The bagel shop has the better price because 1 dozen is 12 bagels and if you multiply 0.75 x 12 = 9.00
so the better price is 7.00

6 0

3 years ago

An adventure sports club claims to take its hot air balloon to a height of 10,020 feet. The hot air balloon’s elevation is model

Ostrovityanka [42]

C, six minutes, it might be D idk

3 0

2 years ago

Read 2 more answers

Twelve toy turtles run a race. Each turtle is numbered from 1 to 13. A turtle can move forward one step whenever their number is

Fofino [41]

The turtle that would most likely win the race is the turtle 7

<h3>How to determine the turtle with the most chance?</h3>

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

<u>Outcome Frequency</u>

2 1

3 2

4 3

5 4

6 5

7 6

8 5

9 4

10 3

11 2

12 1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race