MATHEMATICS HIGH SCHOOL

If a set has 1,024 subsets, how many elements does it have?

Answers

Answer 1
Answer:

Answer:

If a set has 1,024 subsets,then it has 10 elements

Step-by-step explanation:

If A is a set containing n elements then total numbers of subsets of A are 2^n

Here, we are given that

2^n=1024

We know that

1024=2^(10)

i.e. 2^n=2^(10)

Hence, n=10

Hence, If a set has 1,024 subsets,then it has 10 elements

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Brendan, Miguel, and Jeron run around the track. They start at the same place and at the same time. They each run at a steady rate. Brendan completes a lap in 4 minutes, Miguel completes a lap in 6 minutes, and Jeron completes a lap in3 minutes. The boys want to know how many minutes it will take after they start running until they complete a lap at the same time. How many minutes will it take Brendan, Miguel, and Jeron first complete a lap at the same time?
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The points -5,2 and -5,8 lie on a circle with a radius of 3. Find the center of the circle.

Answers

The formula of a distance between two points:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

We have two points A(-5, 2) and B(-5, 8). Substitute:

d=√((8-2)^2+(-5-(-5))^2)=√(6^2+0^2)=√(6^2)=6

d is a diameter of a circle because d = 2r = 2(3).

The center of a circle is in midpoint of AB.

The formula of a midpoint:

M\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)

Substitute:

(-5+(-5))/(2)=(-10)/(2)=-5\n\n(2+8)/(2)=(10)/(2)=5

Answer: (-5, 5).

Need help asap will mark brainliest

Answers

Answer:

1725 ft²

Step-by-step explanation:

(50+65)/(2) *30 = (115)/(2) *30= 57.5*30 = 1725

Answer:

1,950 ft

Step-by-step explanation:

it is a compound shape, thus it is made up of a square and a triangle

you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950

A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time If he was paid $168, how many hours overtime did he work?

Answers

Answer:

He worked 8 hours overtime.

Step-by-step explanation:

A man was paid per hour up to 40 hours = $3.00

He was paid for 40 hours = 40 × 3 = $120

He did overtime, for which he was paid twice of the regular payment = 2(3)

= $6.00

He was paid for his overtime = 168 - 120 = $48.00

His overtime payment per hour = $6.00

He did overtime = 48 ÷ 6 = 8 hours

He worked 8 hours overtime.
He worked 8 more hours overtime. Good luck with the rest of your homework..

Jennifer has decided to mow lawns in her neighborhood as a way to earn money. She can mow20 minutes. How many lawns can Jennifer mow in 1 hour?

of a yard in

Answers

Answer:

Jeniffer can mow 3 lawns in an hour.

Step-by-step explanation:

If It takes  Jennifer 20 minutes to mow the lawn. We are also given the time she spends mowing lawns. This is 1 hour.

For our solution to be correct, we will have to first of all convert 1 hour to minutes.

1 hour = 60 minutes.

Jeniffer should be able to mow 60 / 20 lawns in an hour. This will be 3 lawns in an hour.

randy's garden 3 rows of carrots with 3 plants in each row. Next year he plans to plant 4 times the number of rows. How many plants will he have next year

Answers

Answer:

Currently, Randy has 3 rows of carrots with 3 plants in each row, which gives a total of 3 * 3 = 9 plants.

Next year, Randy plans to plant 4 times the number of rows. Therefore, he will have 4 * 3 = 12 rows of carrots.

If each row still has 3 plants, then next year Randy will have a total of 12 * 3 = 36 plants.

Answer: 36 plants

Step-by-step explanation: 4 times the amount of rows is 12 (4x3) and 12 x 3 (amount of plants in each row) is equal to 36 plants

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+3x-5=5

Answers

If you would like to solve the equation x^2 + 3 * x - 5 = 5, you can calculate this using the following steps:

x^2 + 3 * x - 5 = 5
x^2 + 3 * x - 5 - 5 = 0
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(x + 5) * (x - 2) = 0
1. x = - 5
2. x = 2

The correct result would be x = - 5, or x = 2.
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