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2 years ago

Eva measures the mass of her pet lizard each month. She wrote this equation to describe her lizard's growth.

Mathematics

2 answers:

satela [25.4K]2 years ago

6 0

Answer:

x = the time in months, and y = the mass in grams

Step-by-step explanation:

Since x is dependent to a fixed number, it must be time. This is because 0.6 represents the fixed amount of weight overtime.

y in the other hand is the result of the process which is the mass of the lizard.

11Alexandr11 [23.1K]2 years ago

5 0

Answer:

independent variable- change or control

dependent- measure

so ...

x can be type of lizard (you can change the lizard's size, type/species, etc)

y can be the mass in grams ( u measure mass)

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A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation

Rzqust [24]

Answer: 0.6065

Step-by-step explanation:

Given : The machine's output is normally distributed with

$\mu=27\text{ ounces per cup}$

$\sigma=3\text{ ounces per cup}$

Let x be the random variable that represents the output of machine .

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 21 ounces

$z=\dfrac{21-27}{3}\approx-2$

For x= 28 ounces

$z=\dfrac{28-27}{3}\approx0.33$

Using the standard normal distribution table , we have

The p-value : $P(21$

$P(z$

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065

8 0

3 years ago

What are the factors of 45?

podryga [215]

Factors: Numbers that can multiply into a certain number.

The factors of 45 are:
1 (x 45)
3 (x 15)
5 (x 9)
9 (x 5)
15 (x 3)
1 (x 45)

4 0

2 years ago

Read 2 more answers

By decreasing each dimension by 1 unit, the area of a rectangle decrease from 40 square feet (on the left) to 28 square feet (on

Anettt [7]

<span>The was a 30% decrease in area. You started with 40 sq ft and ended up with 28 sq ft. So you lost 40 - 28 = 12 sq ft. Now you need to figure out what percentage of 40 is 12. For that you just simply divide 12 / 40 = 0.30 And to convert 0.30 from a decimal to a percentage, just multiply by 100. 0.30 * 100 = 30%</span>

8 0

3 years ago

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$

The base is reducing at a rate of 3.4cm per min.

8 0

2 years ago

If f(x) = -2x + 7, find f(8)

anastassius [24]

Answer:

-9

Step-by-step explanation:

You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9

5 0

3 years ago