When setting the temperature of a refrigerator, is -1 or -5 the coldest!

Answer:

Step-by-step explanation:

The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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It is just a way of describing a set.

You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.

Here are a few examples:

{x| x > 0} This is read: The set of all x such that x is greater than 0.

Reading it character by character:

{ — shows you that we are talking about a set, and it sort of opens up, or starts the set

x — tells you that we are talking about a set of elements x

| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.

x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.

So this example is just how you would use set builder notation to talk about the set “the positive real numbers”

So why use it? Because it can describe more complicated sets much more succinctly.

2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}

3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.

Answer:

(x, y) such that y = x - 5.

Explanation:

To solve the system by subtitution, we first need to solve the first equation for y, so:

-x + y = - 5

-x + y + x = -5 + x

y = x - 5

Then, we need to substitute y = x - 5 on the second equation, so:

-4x + 4y = -20

-4x + 4(x - 5) = -20

Finally, we need to solve for x:

-4x + 4x - 4(5) = -20

-20 = -20

Since we got equality of -20 = -20, we can say that the system has an infinite number of solutions where y = x - 5.

Answer:

(x, y) such that y = x - 5.

To purchase the Apple iPad Pro, based on an equation, Sandra contributed $257 while her parents contributed $643.

An equation is a mathematical statement that states that two or more mathematical expressions are equal or equivalent.

Mathematical expressions are depicted as equations using variables, constants, numbers, and values and the equation symbol (=).

The total cost of the Apple iPad Pro = $900

The contribution of Sandra's parents per $2 = $5

The contribution of Sandra = $2

Let x = the variable contributed by each party

2x + 5x = 900

7x = 900

x = 128.57

Sandra's contribution = $257 (2 x 128.57)

Parents contribution = $643 (5 x 128.57)

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Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

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the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

Answer:

x=3

Step-by-step explanation:

\(-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3\)

Step-by-step explanation:

To Solve This Equation You will need to

Original Equation;

-15x+32=-13

•(Firstly you will Group Like Terms)

-15x=-13-32

•(After Grouping you will go ahead and simplify)

-15x=-13-32

(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)

-15x=-13-32

-15x=-45

(Then you proceed to divide both sides by -15)

x=3

This is because -45 divided by -15 is positive 3

Positive 3 because the negative signs cancel each other out.

Answer:In the power rule, exponents' expressions are raised to power and then the exponents are multiplied. Here, we will list the log values from 1 to 10 for log base 10 in tabular format.

Step-by-step explanation:

Answer:

80 KG :)

Step-by-step explanation:

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

Slope = 4/3

Step-by-step explanation:

Slope= (y2-y1)/(x2-x1)

Let's say (0,1) is x2 and y2. That means (-3,-3) is x1 and y1.

(1 - -3) / (0 - -3)

(1 + 3) / (0 + 3)

4 / 3

No, jasmine did not get it right, 3x+2=15. its not that hard to do. all you gotta do is multiple 3 with x then add 2 and you will get your answer

Answer:

As the calculated value of z= 2 lies in the critical region  z ≥ z∝/2= ± 1.96 the null hypothesis is rejected that the machine is working improperly and it is either underfilling or overfilling the cereal boxes

Step-by-step explanation:

Here n= 36

Sample mean  = x`= 1.22

Required Standard mean  = u= 1.20

Sample Standard deviation = s=  0.06

Level of Significance.= ∝ = 0.05

The hypothesis are formulated as

H0: u1=u2   the machine is working properly

against the claim

Ha: u1≠u2

i.e the the machine is not filling properly

For two tailed test  the critical value is  z ≥ z∝/2= ± 1.96

The test statistic

Z= x`-u/s/√n

z= 1.22-1.20/0.06/√36

z= 2

As the calculated value of z= 2 lies in the critical region  z ≥ z∝/2= ± 1.96 the null hypothesis is rejected that the machine is working improperly and it is either underfilling or overfilling the cereal boxes

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .

Answer:

\(\sf 9y^3(3-y)\)

Step by step explanation:

\(\sf 27y^3-9y^4\)

Factor out common term 9 :

\(\sf \implies 9(3y^3-y^4)\)

Apply exponent rule \(\sf a^{bc}=a^{b+c}=a^ba^c\) :

\(\sf \implies 9(3y^3-y^{1+3})\)

\(\sf \implies 9(3y^3-y^1y^3)\)

Factor out common term \(\sf y^3\):

\(\sf \implies 9y^3(3-y^1)\)

Apply exponent rule \(\sf a^1=a\) :

\(\sf \implies 9y^3(3-y)\)

Answer:

y=cos(x)

Step-by-step explanation:

since the period doesnt start at (0,0) it is cos.

the wave also starts at a positive (0,1) so it is positive

Answer:

5 mugs

Step-by-step explanation:

1/2 converted into 10ths would be 5/10 ... meaning 5 mugs

Answer:

They will not.

Step-by-step explanation:

\( {14}^{2} + {21}^{2} = 196 + 441 = 637\)

\( {25}^{2} = 625\)

Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant

Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant. This is because the effect of the original variable may be partially or completely outweighed by the effects of the new variable. For example, if the original variable is correlated with the new variable, the significance of the original variable may be reduced, as the new variable may capture the majority of the variance in the data. Additionally, if the new variable is correlated with the outcome variable, then it may have a stronger effect on the outcome than the original variable, thus reducing its significance. Therefore, it is important to always re-run the regression model once a new variable has been added to ensure that the original variable still has a significant effect.

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle