MATHEMATICS HIGH SCHOOL

Grant and his family just took off in an airplane on their way home from a trip to Jamaica. Currently the plane is flying at a height of 1,205 feet above sea level. Noah is in a submarine in the Caribbean Sea right below the airplane. The depth of the submarine is 342 feet below sea level. What is the current distance between the airplane and the submarine?

Answers

Answer 1

Answer:

Answer:

1547

Step-by-step explanation:

because the airplane is 1205 ft above the water and the sub is 342 so add them together to get 1547.

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How many different arrangements can be made with the letters in the word SCARLET?A. 120 B. 5040 C. 24 D. 720
Evaluate the function f(x) = x2 + 3x for both of the following: a. Find f(0) b. Find f(4) PLEASE ANSWER QUICK

We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.

Answers

Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?a. 2
b. 4
c. 9
d. 10

Answers

The correct answer is:

A) 2.

Explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13
3² + b² = 13
9 + b² = 13

Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4

Take the square root of each side:
√b² = √4
b = 2

A possible value of b is mathematically given as

b = 2

What is a possible value of b ?

Generally, the equation for the complex number is mathematically given as

x = 3 + bi and |x|^2 = 13,

Therefore

$(3+bi)^2 = 13\n\n9 + b^2 = 13\n\nb^2 = 4$

Take the square root of each side:

$√(b^2) = √(4)$

b = 2

In conclusion,

Answers

The equation -2(6 - 20n) = 20(2n - 3) has no solution.

Hence the correct option is C.

Given is an equation -2(6 - 20n) = 20(2n - 3), we need to solve it for n,

Let's solve the equation step by step:

-2(6 - 20n) = 20(2n - 3)

First, distribute the -2 on the left side and the 20 on the right side:

-12 + 40n = 40n - 60

Next, let's move all the terms with "n" to one side of the equation:

-12 + 40n - 40n = 40n - 40n - 60

-12 = -60

Now, we can see that the equation is inconsistent, as there are no values of "n" that satisfy this equation.

Therefore, the correct answer is:

c. no solution

Learn more about Equations click;

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-2(6-20n) = 20(2n-3)
-12 + 40n = 40n - 60
40n = 40n - 60 + 12
40n - 40n = 60 + 12 (dont minus 40n - 40n yet, we can factorise it)
n(40-40) = 60 + 12
n = (60 + 12)/(40-40)
n = 60 + 12/ 0

Therefore no solution as we cannot divide by 0

The average number of customers that visited a particular store during the past year is 160 per day and a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. The standard deviation of the sample mean equals ...

Answers

the standard of the Sample means 256

1. How can you use an equation to make a prediction from a pattern? 2. Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.

Answers

So for question 1, Well, using an equation to make a prediction for patterns is pretty easy, really. It is also very efficient. When you look at the pattern, you should be able to make an equation based upon the pattern, or any previous patterns, and using that, you can make an equation to solve or figure out other parts of the pattern.

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