How do I write 2•r•r•t•t as exponents?

Answers

Answer 1
Answer: 2 * r^2 * t^2 is the answer

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At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tree.

Answers

Answer:

7 feet

Step-by-step explanation:

(3h + 4)² = 24² + h²

9h² + 24h + 16 = 576 + h²

8h² + 24h - 560 = 0

h² + 3h - 70 = 0

(h + 10)(h - 7) = 0

h = 7' (h cannot be -10)

Which expression can be used to convert 22 Australian dollars to US dollars?Assume 1.2 Australian dollars equals 1 US dollar.

Answers

Answer:

Expression used to convert 22 Australian Dollar to US Dollar is (22)/(1.2)

Step-by-step explanation:

Given:

22 Australian Dollars.

To Do: Expression which can be used to convert Australian dollar to Us dollar.

Let, x be the number of Australian Dollars and y be the US Dollars.

We know that 1.2 Australian Dollar equal to 1 US Dollar.

⇒ 1 Australian Dollar = (1)/(1.2)  US Dollar

So, x Australian Dollar = (1)/(1.2)* x\:=\:(x)/(1.2)  US Dollar

Thus, Expression that can be used to convert Australian Dollar into US Dollar is given by,

y=(x)/(1.2)

So. 22 Australian Dollar

put x = 22

y=(22)/(1.2)=18.3 US Dollars

Therefore, Expression used to convert 22 Australian Dollar to US Dollar is (22)/(1.2)

1.2(22)=x
x= US Dollar amount of 22 Australian dollars.

What is the slope of the line between (-4, 4) and (-1, -2)? (1 point)0 1
C 2
0-2
-1

Answers

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 4 / -1 - (-4)

-2 - 4 / -1 + 4

-6 / 3

2

What is the range of the function h(x) = -8x?

Answers

You switch h(x) with y and get y= -8x. You aren't given a range, as the range is the y-intercpet.

Final answer:

The range of the function h(x) = -8x is all real numbers, as there are no restrictions on the output the function can produce. This is typical of a linear function.

Explanation:

The range of a function refers to the possible outputs it can produce. In the case of the function h(x) = -8x, it is a linear function, and there are no restrictions on the values that x can take, meaning x can be any real number between -∞ and +∞. The output, h(x), therefore, can be any real number, also between -∞ and +∞, given that it will be the result of -8 multiplied by x. Therefore, the range of the function h(x) = -8x is all real numbers from -∞ to +∞.

Learn more about range of a function here:

brainly.com/question/29145252

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Fifty pounds of a cement-and-sand mixture is 40% sand.How many pounds of sand must be added for the resulting mixture to be 60% sand?

Answers

To get the answer you would have to multiply fifty by .4 to get 20. now you know that 20 is 2/5 of the bad and 1/5 must be 10. So you would multiply 10 by 3 to get to 3/5 so you can have 60%. The final answer is 30

Solve each equation by taking square roots

9r^2 +3=-204

Answers

9r² + 3 = -204    |subtract 3 from both sides

9r² = -207    |divide both sides by 9

r² = -23 < 0 NO REAL SOLUTIONS

COMPLEX SOLUTION:

r² = -23 ⇔ r = √(-23) = i√23