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3 years ago

If 10 to the power of x = 5, what is x?

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Answer:

x=0.5, or 1/2

Step-by-step explanation:

10^2 is 10*10*1. The 2 represents how many 10s are being multiplied together then multiplied by 1. That would mean that x has to be an amount of 10s to be multiplied together then multiplied by 1 to get 5. 1/2 of 10 is 5. The equation would be 10^1/2 which is equal to 1/2 of 10, or 5, multiplied by 1 because x is no more than one.

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On a certain hot summer's day,432 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for a

taurus [48]

Answer:

399 children, 33 adults

Step-by-step explanation:

Children = c

Adults = a

c + a = 432

a = 432 - c

1.5c + 2a = 664.50

1.5c + 864 - 2c = 664.50

-.5c + 864 = 664.50

-.5c = -199.5

.5c = 199.5

c = 399

432 - 399 = 33

a = 33

6 0

3 years ago

Read 2 more answers

6% sales tax on a pair of jeans selling for $19.99. What is the total cost? Round to the nearest tenth

lidiya [134]

To get 1% of $19.99 we can move the decimal place two spots to the left. This leaves us with .2 rounded. Then multiply .2 x 6 because its a 6% sales tax. This gives an answer of $1.2. The sales tax on the pair of jeans is an additional $1.20.

3 0

3 years ago

The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.

andrezito [222]

Answer:

Relative frequencies

Growth mind set fixed mind set Total

Attendance

every practice 0.7 0.3 1

missed at-least

one practice 0.1344 0.8656 1

Step-by-step explanation:

Growth mind set fixed mind set total

Attendance

every practice 28 12 40

missed at-least

one practice 9 58 67

Relative frequencies

Growth mind set fixed mind set Total

Attendance

every practice $\frac{28}{40} = 0.7$ $\frac{12}{40} = 0.3$ 1

missed at-least

one practice $\frac{9}{67} = 0.1344$ $\frac{58}{67} = 0.8656$ 1

Final answer:-

Relative frequencies

Growth mind set fixed mind set Total

Attendance

every practice 0.7 0.3 1

missed at-least

one practice 0.1344 0.8656 1

5 0

3 years ago

Vhich of the following functions have graphs that oscillate? Select all that apply

gladu [14]

Answer:

Only options A and B are correct, i.e. y = sin∅ and y = cos∅.

Step-by-step explanation:

The graphs that oscillate, should be periodic in nature and continuous functions.

We know all trigonometric functions are periodic in nature. But not all trigonometric functions are continuous.

The function is continuous if its values are defined at all angles and it should not be undefined for any particular angle.

We know the following facts:-

tan(90°) = ∞

sec(90°) = ∞

csc(0°) = ∞

cot(0°) = ∞

Only sin and cos don't have values ∞ at any angle. It means only sin and cos are continuous functions.

Hence, only options A and B are correct, i.e. y = sin∅ and y = cos∅.

6 0

3 years ago

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3>Solution:</h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

Hourly rate of Ace company:

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

Hourly rate of Bart company:

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

Comparing hourly rate of both companies

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3>How much lower?</h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0

3 years ago