MATHEMATICS HIGH SCHOOL

Under certain conditions, sound travels at approximately 1080 feet per second.If Marsala yells down a canyon and hears her echo 1.7 seconds later, approximately how deep is the canyon?

Answers

Answer 1
Answer:

The approximate depth of the canyon was 918 feet, and she hears her echo 1.7 seconds later.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Sound travels at approximately 1080 feet per second. Hence:

Marsala hears her echo 1.7 seconds later, hence:

Total distance = 1080 * 1.7 = 1836 feet

Depth of canyon = 1836 / 2 = 918 feet

The approximate depth of the canyon was 918 feet, and she hears her echo 1.7 seconds later.

Find out more on equation at: brainly.com/question/2972832

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Answer 2
Answer: As Mifc8 said, one can easily do 1.7*1080=1836 feet.

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Liam volunteers to help plan the event. First month he volunteered for x hours. The next month he volunteered for 2 times as many hours as he had the first month. If he volunteered for a total of 45 hours,how many hours did he volunteer during the first month? Write an equation to represent the situation and solve

Answers

Answer:

0/3 that’s what my teacher said on this test

Step-by-step explanation:

Sarah's younger siblings are always bothering her when she does her homework, and she begins to wonder whether other students have the same trouble. She surveys 25 of her fellow juniors and records the number of siblings and the homework grades for each of them. According to the scatterplot Sarah produced from this data, which conclusion is MOST justified?

Answers

Answer: C) Siblings have a negative effect on homework performance.

Step-by-step explanation:

Answer: Its siblings have a negative effect on homework performance

I hope that this answer helps you.

Max started a trip with of a tank of gas. At the end of his trip, Max had of a tank left. How much gas did Max use on the trip?

Answers

Answer:

None or all of it and he the refilled but it's probably none

Step-by-step explanation:

Because his final product is the same as his starting point

What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)

Answers

Answer: Our simplified form will be

(1)/((x+2)(x-3))

Step-by-step explanation:

Since we have given that

(x-5)/(x^2-3x-10)* (x+4)/(x^2+x-12)

So, first we split the middle term of the denominator ,

x^2-3x-10=0\n\n=x^2-5x+2x-10\n\n=x(x-5)+2(x-5)\n\n=(x-5)(x+2)

Similarly,

x^2+x-12=0\n\nx^2+4x-3x-12=0\n\nx(x+4)-3(x+4)=0\n\n(x+4)(x-3)=0

Now, we put in our expression above:

(x-5)/((x-5)(x+2))* (x+4)/((x-3)(x+4))\n\n=(1)/(x+2)* (1)/(x-3)\n\n=(1)/((x+2)(x-3))

Hence, our simplified form will be

(1)/((x+2)(x-3))
Step 1 is to factor everything! 

After factoring you will get:

x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)

Step 2 is to remove the duplicate factors!
Remove x+4 and x+5

x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3 

Step 3 is to multiply the numerators and the denominators.

End result is 1 over (x+2)(x-3)

Decrease 1280 by 67%

Answers

67% of 1280 is 857.6 substrack it and it's = 422.4

The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?x4 – 2x2 + 5x – 6
x2 – x + 1
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
x4 – 4x2 + 3x

Answers

Answer:

x^2-x+1

Step-by-step explanation:

We are given that

Dividend=x^4-3x^2+4x-3

Quotient=x^2+x-3

We have to find the divisor.

Let the polynomial =p(x)

(x^4-3x^2+4x-3)/(p(x))=x^2+x-3

p(x)=(x^4-3x^2+4x-3)/(x^2+x-3)

Hence, the polynomial =p(x)=x^2-x+1

Answer: x^2-x+1
The right answer for the question that is being asked and shown above is that: "x2 – x + 1."The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). The polynomial is this one: x2 – x + 1
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