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3 years ago

If you start at 89 degrees and it decreases 5% each hour what would it be at in 3 hours

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

6 0

Answer:

A = 76.3 degrees after 3 hours

Step-by-step explanation:

An exponential function is needed here:

A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.

Then: A = (89 degrees)(0.95)^3, or

A = 76.3 degrees after 3 hours

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Vika [28.1K]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-----------------------------\\\\
\cfrac{s^3}{s^3}\implies \cfrac{216}{1000}\implies \cfrac{\sqrt[3]{216}}{\sqrt[3]{1000}}\implies \cfrac{s}{s}\impliedby \textit{similarity ratio}$

and simplify it away

3 0

3 years ago

5z-8=-28 solve for x

irga5000 [103]

Answer:

z = -4

Step-by-step explanation:

I'm going to assume you mean solve for z.

5z - 8 = -28

add 8 to both sides.

5z = -28 + 8

5z = -20

divide both sides by 5

z = -4

8 0

3 years ago

Read 2 more answers

What is the area of the figure? A rectangle is cut out of a large rectangle. The larger rectangle has a base of 6 yards and heig

masya89 [10]

Small one: 18 and 1-thirds yards² Large one: 43.5 yards²

Step-by-step explanation:

Area of rectangle= base*height

Large one: base = 6, height= 7.25 (7 and 1-fourth)

Area= 43.5yards²

Small one: base = 3(2/3 or 2-thirds), height= 5

change the mixed fraction 3(2/3) to 11/3

area= 11/3 * 5 = 55/3

change to mixed fraction which = 18(1/3)

8 0

3 years ago

Read 2 more answers

Which polynomials are in standard form?

xeze [42]

Polynomials in standard form:

$t^4 - 1\\\\-2t^2 + 3t + 4\\\\4t - 7$

Solution:

Standard form of polynomials: terms are ordered from biggest exponent to lowest exponent

Option A:

$t^4 - 1$

The above is a polynomial

Where, largest exponent is arranged first

Therefore, it is standard form of polynomial

Option B

$-2t^2 + 3t + 4$

Here, exponents are from greatest to least

Therefore, it is standard form of polynomial

Option C

$4t - 7$

Here, "t" is a variable. The first term has largest degree

Therefore, it is standard form of polynomial

3 0

3 years ago

Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down w

Furkat [3]

Answer:

Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)

Liam's time was was 1 hour

So in conclusion, Liam was faster

Step-by-step explanation:

We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.

For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.

Hope this helps

3 0

3 years ago