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3 years ago

What is the range of f(x) = 4^x?

Mathematics

1 answer:

Oxana [17]3 years ago

5 0

Answer: A because it goes from (0,infinity) so all positive real numbers

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The chemistry class was making 300 gallons of 30% isopropyl alcohol. They mixed 12% with 42%. How much of each did they use?

alexgriva [62]

Answer:

The chemistry class mixed 120 gallons of 12% isopropyl alcohol and 180 gallons of 42% isopropyl alcohol.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of isopropyl alcohol made by the chemistry class = 300 of 30%

Amount of 12% isopropyl alcohol mixed by the chemistry class = x

Amount of 42% isopropyl alcohol mixed by the chemistry class = 300 - x

2. How much of each did they use?

Let's write our equation to solve for x, this way:

30% = 0.3, 12% = 0.12, 42% = 0.42

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12x + 126 - 0.42x = 90

-0.3x = 90 - 126

-0.3x = -36

x = -36/-0.3

x = 120 ⇒ 300 - x = 180

Let's prove x = 120 is correct

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12 * 120 + 0.42 (300 - 120) = 0.3 * 300

14.4 + 75.6 = 90

90 = 90

We proved x = 120 is correct

5 0

3 years ago

In cos(0.3), what unit would 0.3 be? Is it radians? Also if you were to solve it, would the answer be in radians as well? Please

neonofarm [45]

Answer:

Step-by-step explanation:

7 0

2 years ago

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describe how to transform (^5 square root x^7)^3 into an expression with a rational exponent. make sure you respond with complet

diamong [38]

Answer:

$x^\frac{21}{5}$

Step-by-step explanation:

We are given an expression and we have to transform it into an expression with exponent.

5th root of x can be written as $x^\frac{1}{5}$

$(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3$

The powers outside will be multiplied as: $(x^a)^b = x^{ab}$

$(x^\frac{7}{5} )^3\\x^\frac{7*3}{5}\\x^\frac{21}{5}$

where the exponent is $\frac{21}{5}$ and it is a rational number by definition of rational numbers

3 0

3 years ago

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between whi

earnstyle [38]

Answer:

B.$675 and $1,775

Step-by-step explanation:

8 0

3 years ago

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The temperature in Allenville fell from 25°F to -23°F in 8 minutes. What's the average change in temperature per minute?

natka813 [3]

Answer:

6 Degrees per minute

Step-by-step explanation:

25 + 23 = 48

48 divided by 8 = 6

6 0

3 years ago