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2 years ago

Use the Fundamental Counting Principle to determine the number of disguises that can be made from three hats, two pairs of

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Multiply the number of items with each other.

3 hats • 2 pairs of glasses • 2 mustaches

= 3 • 2 • 2

= 12

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The number of a particular fish in thousands x years after 1972 can be modeled by f(x)=230(0.886)x. Estimate the year when the n

sashaice [31]

Answer:

The year is 1979.

Step-by-step explanation:

Given:

The function relating fish population and number of years since 1972 is:

$f(x)=230(0.886)^x\\Where,\ f(x)\rightarrow \textrm{fish population}\\x\rightarrow \textrm{number of years passed after 1972}$

Now, when the fish population reaches 99 thousand, it means that $f(x)=99$ . Now, plugging in $f(x)=99$ in the above equation and solving for $x$ . This gives,

$99=230(0.886)^x\\\frac{99}{230}=0.886^x\\\\\textrm{Taking natural log on both sides}\\\ln(0.886)^x=\ln(\frac{99}{230})\\\\\textrm{Using log property: }\log a^b=b\log a\\x\ln (0.886)=\ln(0.43)\\x\times (-0.12)=-0.84\\x=\frac{-0.84}{-0.12}=7\ years$

Therefore, the year after 7 years passed since 1972 is given as:

1972 + 7 = 1979.

So, the year when the number of fish reaches 99 thousand is 1979.

8 0

2 years ago

What is the circumference of the circle when the r is 19 m (use 3.14 for pi)

svetlana [45]

Answer:

119.32 m

Step-by-step explanation:

4 0

2 years ago

An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the rate of change?

katrin2010 [14]

2.857

That’s the right answer

3 0

3 years ago

Which expressions are equivalent to 1.5?

3241004551 [841]

Answer:

B and C

Step-by-step explanation:

We can just solve each to find which expressions are equal to 1.5.

A) 0.15 × 100 = 15

B) 15.0 ÷ 10 = 1.5

C) 0.15 × 10 = 1.5

D) 0.15 ÷ 10 = 0.015

E) 1.5 ÷ 100 = 0.015

From our results, we see that B and C are the only answers that equal 1.5.

6 0

2 years ago

Abc and def are complementary angles what is the measure of x?

notka56 [123]

Complementary angles add to 90 degrees. This means that 65 + x = 90, so x = 90 - 65 = 25.

5 0

2 years ago