. If you could put a sealed room on a very sensitive scale and open a thousand soft drink
cans inside it, would the mass reading on the scale go up, go down, or stay the same?
Explain your answer.

Answer:

x=-7

Step-by-step explanation:

convert to decimals 0.5(x+3)=0.4(x+2)

simplify the brackets 0.5x+1.5=0.4x+0.8

isolate x to one side 0.1x=-1/7

divide both sides by 0.1 x=-7

Answer:

Here:

Step-by-step explanation:

23. f(x) = [tex]\sqrt{x}[/tex] and g(x) = [tex]x^2-5x[/tex]

24. f(x) = [tex]x^2[/tex] and g(x) = [tex]x^3+1[/tex]

28. f(x) = [tex]e^x[/tex] and g(x) = [tex]sinx[/tex]

29. f(x) = [tex]cosx[/tex] and g(x) = [tex]\sqrt{x}[/tex]

Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function =  [tex]x^2-5x[/tex]. Same with f(x) = [tex]\sqrt{x}[/tex] . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.

9514 1404 393

Answer:

  0.8

Step-by-step explanation:

The ratio of the first two terms is ...

  1.2/1.5 = 4/5 = 0.8

That is also the ratio of successive adjacent terms.

  0.96/1.2 = 0.768/0.96 = 0.8

The common ratio is 0.8.

Answer:

Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality

Let us solve the question

∵ y = [tex]\frac{1}{5}[/tex] x

→ It the same as the form of the proportional equation above

∵  [tex]\frac{1}{5}[/tex]  is a constant

∴ y is the product of x and constant

∴ y =  [tex]\frac{1}{5}[/tex] x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = [tex]\frac{1}{5}[/tex] (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = [tex]\frac{1}{5}[/tex] x

∴ k =  [tex]\frac{1}{5}[/tex]

∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]

Answer:

[tex]yes \: \\ PRIME \: AND \: CO-PRIME \: NUMBERS \: are \: the \: SAME [/tex]

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18[tex]x^4[/tex]– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

Learn more about expressions here:

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Answer:

x<-1

Step-by-step explanation:

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

Answer:

8 miles: $26.50

25miles: $77.50

Step-by-step explanation:

Substitute (x) for the number of miles

8 miles: f(x)=3(8)+2.50

=24+2.50

=26.50

25miles: f(x)=3(25)+2.50

=75+2.50

=77.50

Answer:

The  probability is  [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

Generally the mean of the sampling distribution is  [tex]\mu_{x} = 0.45[/tex]

 Generally the standard deviation is mathematically represented as  

        [tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]

=>      [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]

=>      [tex]\sigma_{x} = 0.0376[/tex]

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      [tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]

=>   [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]

Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]

So

    [tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]

=>  [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]

From the z-table  

    [tex]P( Z< 2.6595 ) = 0.99609[/tex]

and

    [tex]P( Z< - 2.6595 ) = 0.0039128[/tex]

So

   [tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]

=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Answer: I hope this is correct -9

Step-by-step explanation: This is right

Answer:1316

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

Domain: all real numbers

Range: all real numbers

Answer:

First off dang Katie you can eat. And the answer is 5

Step-by-step explanation:

She just gobbling them up like no tommrow

Answer:

X = -24

Step-by-step explanation:

Using the inverse:

26 + 6 = 32

x = 32 / (-4/3) = -24

Answer:

i did

Step-by-step explanation:

Answer:

the answer is B this other guy messed up his math trust me i know it's right

Step-by-step explanation:

if you add up all the numbers it equals 27 squar units

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

Where m is the slope

And B is the y point of the y-intercept

Answer:

The answer is b to this question

Answer:

17.7

Step-by-step explanation:

The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.

Answer:116.25

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

4/6 * 100% = 66.66% = 2/3

Answer:The 1st one

Step-by-step explanation:

Answer:

i will explain it to you

Step-by-step explanation:

Step-by-step explanation:

(1200-700)/5

=500/5

=

The expression results to 100.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

divide the difference between 1200 and 700 by 5

so, mathematically

(1200- 700)/5

= 500 /5

= 100

Hence, the expression results to 100.

Learn more about expression here:

https://brainly.com/question/14083225

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Answer: length = 4.5 m, width = 3 m

Step-by-step explanation:

When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.

length = 3 * 1.5 = 4.5 m

width = 2 * 1.5 = 3 m

Answer:

11

Step-by-step explanation:

B.

Explanation:

1.5+1.5=3+1.5= 4.5+1.5= 6

(How much 1.5 is there?) (1.5=1 1/2 btw)

Answer:

B.

Step-by-step explanation:

Hope this helps!!