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3 years ago

Solve 12^x-2=20 round to the nearest ten-thousandth

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

Answer:

x = 1.2439

Step-by-step explanation:

The equation given is:

$12^{x} - 2 = 20$

Simplifying this, we have:

$12^x = 20 + 2\\\\\\12^x = 22$

To solve this, we have to convert it from index form to logarithmic form:

$log_{12}22 = x$

Using one of the laws of logarithm, we have that:

$\frac{log_{10}22}{log_{10}12} = x$

This will give us:

$\frac{1.3424}{1.0792} = x\\\\\\1.2439 = x$

=> x = 1.2439

LUCKY_DIMON [66]3 years ago

4 0

12^x = 22
<span>x * log 12 = log 22 </span>
finsih that then you round it to the nearest thousandth
that's what i learnt.

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What are the domain and range of the function f(x)=(√x-7)+9?

Yanka [14]

Answer:

the domain of the function f(x) is $x\ge 7$

the range of the function f(x) is $f(x)\ge 9$

Step-by-step explanation:

Consider the parent function $y=\sqrt{x}.$

The domain og this function is $x\ge 0,$ the range of this function is $y\ge 0.$

The function $f(x)=\sqrt{x-7}+9$ is translated function $y=\sqrt{x}$ 7 units to the right and 9 units up, so

the domain of the function f(x) is $x\ge 7$

the range of the function f(x) is $f(x)\ge 9$

3 0

3 years ago

There are five identical blue books, two identical green books, and three identical black books. How many different patterns can

dsp73

Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

$\frac{n!}{n1!n2!n3!}$

$\frac{10!}{5!2!3!}$ = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

8 0

3 years ago

Solve the inequality 171>-6x and graph the solution what does the graph look like

krok68 [10]

To solve the inequality, you need to isolate/get x by itself:

171 > -6x Divide -6 on both sides [dividing/multiplying a negative number on

-28.5 < x [dividing/multiplying a negative number in an inequality causes the sign (<, >, ≤, ≥) to flip]

-28.5 < x [x is a number greater than -28.5]

So your graph should have an open circle at -28.5 (the first small line next to -28), and the arrow pointing to the right since x is greater than -28.5 (increasing) The 1st option is your answer

[use the o---> and put it at -28.5]

7 0

3 years ago

Please help i need the answer asap!

serg [7]

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Because similar triangles has congruent corresponding angle measures

6 0

3 years ago

In the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this

Eddi Din [679]

Answer:

181 penguins on the last day of June.

250th penguin on 7 September.

Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.

First of all we need to find number of days in January to June.

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

$\text{Days from January to June}=31+28+31+30+31+30$

$\text{Days from January to June}=181$

Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.

Therefore, the penguin family will have 181 penguins on the last day of June.

Now, we need to find the day, which will be on 250th day.

We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is $181+62=243$ .

243rd day would be 31st August.

Now, we will add 7 days to 243 days to get 250th day.

Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.

6 0

3 years ago