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marta [7]
3 years ago
15

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45-minute tours are offered at each

attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time.
In how many ways can the traveler visit all three places in one day?
Select one:
a. 120
b. 60
c. 15
d. 30
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0
A.120

Therefore, a traveler visits all three locations in one day in 120 separate ways. So choice A is the answer.
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3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.
asambeis [7]
<h2><u>Solution </u><u>-</u><u>:</u><u> </u></h2>

<u>Example </u><u>-</u><u>1</u><u> </u>

<u>Here </u><u>we </u><u>have </u><u>,</u><u>,</u><u>,</u><u> </u>

(6 \: x) { \frac{9}{5} }^{}

<u>solve </u><u>-</u><u>;</u><u> </u>

<u>6</u><u>x</u><u> </u><u>^</u><u>9</u><u>×</u><u>1</u><u>/</u><u>5</u>

<u>\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }</u>

<u>Convert </u><u>on </u><u>radical </u><u>form </u>

<u>\sqrt[5]{(6x) {}^{9} }</u>

<u>Example </u><u>-</u><u>2</u><u> </u>

<u>\displaystyle{}a {}^{ \frac{2}{5} } \\   =  \sqrt[5]{x {}^{2} }  \:   \:  \:  \:  \:  \:  \:  \because ( \sqrt[m]{x {}^{n} } )</u>

<h2>__________________</h2><h3><u>More </u><u>Basic </u><u>Information </u><u>-</u><u>:</u><u> </u></h3>
  • hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.

<u>types </u><u>of </u><u>Radical </u><u>-</u><u>:</u><u> </u>

  • pure radical
  • mixed radical
  • unequal radical
  • equal radical

<u>rationalization </u>

  • the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.

<u>other </u><u>name </u>

  • surds
5 0
2 years ago
Please help !<br> I need the answers for #43 and #44
Vlad [161]

43. 9 + 10 + 13 + 13 = $45

45 - 1 = 44

44 x 4 = 176

176 + 8 = 184

184/4 = 46

46 tokens per person

44. a. 22 x 5 = 110

943/110 = 8.7

you will need 9 bookcases

b. 110 x 9 = 990

990 - 943 = 47

47 - 44 = 3

There will be 3 books on the third shelf.

4 0
3 years ago
At a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes
Alexxx [7]
B i hope you do well fr
6 0
3 years ago
Need help ASAP! Tysmm
Anastaziya [24]

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

4 0
3 years ago
Correct answers only please!
MrRissso [65]

Answer:

23.6°

Step-by-step explanation:

In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

-------------------------------------------------------------------------------------------------------

10 = Hypotenuse

4 = Opposite

-------------------------------------------------------------------------------------------------------

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values to find the value of angle XVW

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 4 ÷ 10

The value of angle XVW is 23.57817848

6 0
3 years ago
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