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3 years ago

Add decimal 84.207+28.963

Mathematics

1 answer:

Naddika [18.5K]3 years ago

6 0

Answer:

113.17

Step-by-step explanation:

add them but line up the decimal. remember smallest number first. You know actually it don't matter

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From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe

Alexandra [31]

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363 million TVs were sold

Step-by-step explanation:

Given

$n = 26.8(0.85)^t$

Solving (a): The decay factor

An exponential function has the form

$y = ab^x$

Where b is:

$b = decay\ factor\ or\ growth\ factor$

By comparison:

$b = 0.85$

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

$P = 1 - b$

Substitute 0.85 for b

$P = 1 - 0.85$

$P = 0.15$

Convert to percentage

$P = 0.15*100\%$

$P = 15\%$

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: $n = 26.8(0.85)^t$

$n = 26.8(0.85)^2$

$n = 26.8*0.7225$

$n = 19.363$

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3 years ago

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

alexandr402 [8]

If the shapes are similar, the correspondent sides are in proportion:

$AB\div DE = BC \div EF$

Let's plug the values and solve for x:

$5x \div 5 = 4 \div x \iff \dfrac{5x}{5}=\dfrac{4}{x}\iff x = \dfrac{4}{x}$

Multiply both sides by x to get

$x^2=4 \iff x=\pm2$

The only feasible solution, though, is $x=2$ , because it wouldn't make sense to have negative lengths.

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Answer:

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