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4 years ago

How to solve this equation?

Mathematics

1 answer:

Jet001 [13]4 years ago

4 0

Answer:

Step-by-step explanation:

2 ÷ 2/7

We use copy dot flip

2 * 7/2

2/1 * 7/2

Rewrite to make the math easier

2/2 * 7/1

7/1

1 * 7

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What line would be parallel to 8x-2y=7 with a point of 12,1

SOVA2 [1]

Answer:

$y = 4x - 47$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Parallel lines:

When two lines are parallel, they have the same slope.

8x-2y=7

Placing into the format, we have thtt:

$2y = 8x - 7$

$y = 4x - \frac{7}{2}$

Slope of 4.

This means that the desired line has the following equation:

$y = 4x + b$

Point of (12,1)

This means that when $x = 12, y = 1$

We use this to find b.

$y = 4x + b$

$1 = 48 + b$

$b = -47$

So, the line has the equation:

$y = 4x - 47$

7 0

3 years ago

What is a unit rate????????????????????????????????????????????

Ksivusya [100]

The rate of a unit per one. So for example 40miles/1hour. Hope it helped. :)

5 0

4 years ago

100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial s

stellarik [79]

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

6 0

3 years ago

Read 2 more answers

The Volume () of gas vanes inversely to the pressure (P). The volume of gas is 200 cm ^ 3 under pressure of 32 kg/cm^ 2 What wil

WITCHER [35]

Answer:

0.025 Kg/ cm²

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

$y = \frac{b}{x}$

where b = constant of proportionality

to determine the answer in this question :

1. determine constant of proportionality

200 = k / 32

k = 6400

2. Determine the amount of pressure using the constant of proportionality

256, 000 = 6400 / pressure

pressure = 6400 / 256, 000 = 0.025

4 0

3 years ago

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h

Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) - Quantitative variable

Specific breed of monkey - Categorical variable

5 0

3 years ago