A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute. Let t represent the time in minutes since the balloon began climbing. Write an algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes.
a. Make a table that shows the heights of the hot air balloon after climbing for 1,2,3, and 4 minutes


B. Let t represent the time in minutes since the ballon began climbing. Write and algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes

C. Use your equation from part b to find the height, in feet, of the hot air balloon after climbing for 8 minutes



PLEASE HELP!!!!!!!!! I NEED THIS QUESTION. Would be greatly appreciated for the answer. Thank you

Answer:

128

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128

Answer: The answer is −2x+14 just take away the parentheses.

Answer:

B

Step-by-step explanation:

< just means more of and since it says more than 250 the answer would have to be something grater than 250

Hope this helps!

Rational exponents and radicals are simplified in a similar way to how other exponents and radicals are simplified.

For the first expression 4x⁻⁴y⁴, you can simplify it by noticing that it has a negative exponent on the x term and a positive exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -4) but you change the negative exponent to a fraction and change the sign:

4x⁻⁴y⁴ = (x^-4) (y^4) = x^-4y^4

For the second expression -2x⁴y⁻¹, you can simplify it by noticing that it has a negative exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -1) but you change the negative exponent to a fraction and change the sign:

-2x⁴y⁻¹ = -2 (x^4) (y^-1) = -2x^4y^-1

To simplify these expressions further, you would need to know the specific values of x and y. But these are the steps to simplify a rational exponent or radical to its simplest form.

It's also worth mentioning that if you have a fractional exponent you can simplify it by raising the base to the numerator of the exponent and the denominator of the exponent. For example, x^(3/4) = (x^3)^(1/4) = ∛x

Keep in mind that when you simplify rational exponents or radicals, you should always keep the base and the exponent, and only change the sign of the exponent if it is negative.

Answer:

125 cubic units

Step-by-step explanation:

the volume formula is length x width x height.

because the length, width, and height of the prism are all 5 units, the volume of the prism is 125 cubic units.

hope this helped, good luck!

Answer:

A. No Solutions

B. X=3

C. X=3

D. No Solutions

E. No S

Answer:

75 percent of a positive number is greater greater than 50 percent of a positive number. and the second one is 75percent of a negative number is less than 50percent of a negative number

Answer:

Step-by-step explanation:

75% of 100> 50% of 100

75% of 1< 50% of 100

Answer:

Step-by-step explanation:

Challenge 1

We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.

If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.

Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).

Remember that b cannot be negative.

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Challenge 2

In the general template provided, enter x = 0.

y = a(b)^x

y = a(b)^0

y = a(1) (1)

y = a

When x = 0 is plugged in, the result is y = a.

The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.

Examples:

Answer: 1. Negative number

2. Natural number

3. Positive number

4. Integers

5. Number line

6. Opposite numbers

Step-by-step explanation:

1. The first statement says a number that is less than zero, which means any negative number would be less than zero. For example (-1), (-2), etc.

2. The second statement is asking for numbers belonging to the counting set, which means starting from one (1). Natural numbers are numbers that start from 1 and don't include negative numbers or zeros.

3. The third statement says the number that is greater than zero, as negative numbers are smaller than zero and the natural number option has already been chosen above, we will consider positive numbers.

4. Whole numbers consist of both negative and positive integers including zero. Therefore, a set of whole numbers will be written as integers.

5. Number line is a line that represents both negative and positive numbers.

6. Consider an example- (+5) and (-5), both the numbers are the same but with different signs, making them opposite of each other. Therefore, the correct answer would be opposite numbers.

Answer:

1.<3592

2.<623

3. <942

4. <829

5.692

6.986

Step-by-step explanation:

Answer: Yes they should and no it's not biased

Step-by-step explanation: I don't know my opinion is that it isn't bias

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Answer: 2 factors 2 terms

Step-by-step explanation:

Answer:

for a it is $20

for b it is $10

Answer:

[tex]y=\frac{1}{2}x+1[/tex]

Step-by-step explanation:

We have the one tablet taken to start so that is where the +1 comes from.

We also have the 1/2 tablet taken each month after that so it is 1/2 times the number of months x.