A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st

You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)

Response:

Step-by-step explanation:

Shift the decimal points in both the divisor and the dividend.

Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.

In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.

Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.

Align each digit in the quotient directly over the last digit of the dividend utilized in that step.

We apply the slope formula by substituting the given points.

Here, x2 equals 5 and x1 equals -2; y2 equals -3 and y1 equals 6.

Thus, the line's slope is -9 divided by 7.

Answer:

Step-by-step explanation:

The exponential growth formula is

Where 'a' signifies the initial population

r is the growth rate and x represents time in years

maintaining a constant population of 32,000. Thus, the initial population is 32,000

with an annual increase of 8%. The growth rate is 8%, equivalent to 0.08

a = 32000 and r = 0.08

Now, substituting all the values into the general formula

Answer:

1.0 gram (rounded from.98)

Step-by-step explanation:

This is an exponential equation represented as , where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.

Next, with the equation , we can apply the value of x as 19.

Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.