Write an inequality to compare -21 and -13 which temperature is warmer?

Answer:

x > -5.25

Step-by-step explanation:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2

2

+

6

+

4

=

0

2x^{2}+6x+4=0

2x2+6x+4=0

=

2

a={\color{#c92786}{2}}

a=2

=

6

b={\color{#e8710a}{6}}

b=6

=

4

c={\color{#129eaf}{4}}

c=4

=

−

6

±

6

2

−

4

⋅

2

⋅

4

√

2

⋅

2

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}

x=2⋅2−6±62−4⋅2⋅4

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The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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Answer:

12/3=4 ..............

Answer:

B=5

Step-by-step explanation:

If 7 plus a equals 9 then a would equal 2.

2+8=b+5

10=b+5

Ask yourself what number plus 5 equals 10

B is 5 because 5 plus 5 is 10

Answer:

45

Step-by-step explanation:

this is correct this is correct

The following are correct applications of the rule cited: a. ~A-B, -B/: A M.T. and e. (A v B) > C, D v F) - C, D v F) v (A v B) 1: ~CvC Dil. The rule mentioned here is a stated rule. The statement rule helps to prove new sentences from the previous ones.

Here are the descriptions of all the options: a. ~A-B, -B/: A M.T.A- assumptionB- premise -B - premise~A - ~ introductionTherefore, we can say that this is the correct application of the rule cited, A M.T.b. (A v B) (A( Bv C)), (A. (A v B)) (A v B) 1:: (A (B v C)) (A. (A v B)) H.S.

The application of this rule is incorrect as it does not follow the main operator. Instead, it states two different premises as a single premise. c. - (A.B)-(-A.- B), V (A.B) /:: (-A.- B) D.S. The application of this rule is incorrect as it does not follow the rule of simplification. The rule of simplification states that if a compound sentence comprises two parts, you can take the first or second part alone.

d. (A. B) = (C.D) 1: A (C.D) ( Simp.)The application of this rule is incorrect as it does not follow the rule of simplification. e. (A v B) > C, D v F) - C, D v F) v (A v B) 1:. ~CvC Dil. The application of this rule is correct as it follows the negation and disjunction. Therefore, we can say that the correct applications of the rule cited are A M.T. and ~CvC Dil.

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The expected value or average number of times a customer visits the store in a month is 1.60 times. So, the expected value for the average number of times a customer visits the store is 1.6 times.

To find the expected value, we need to multiply each possible outcome by its probability and then add them up. Let's assume that these numbers represent the number of times a customer visits a store in a month. We can see that the probabilities are not given, so we will assume that each outcome is equally likely.

Expected value = (0 x 0.10) + (1 x 0.40) + (2 x 0.30) + (3 x 0.20)
Expected value = 0 + 0.40 + 0.60 + 0.60
Expected value = 1.60

Therefore, the expected value or average number of times a customer visits the store in a month is 1.60 times.

To find the expected value of the average number of times a customer visits the store, you'll need to multiply each visit frequency by its respective probability and then sum up the results. Here's the calculation using the provided data:

Expected Value = (0 * .10) + (1 * .40) + (2 * .30) + (3 * .20)

Expected Value = (0) + (0.4) + (0.6) + (0.6)

Expected Value = 1.6

So, the expected value for the average number of times a customer visits the store is 1.6 times.

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The given statement (A-B) ∩ (C-B) = A - (B ∪ C) is False , and the counter example is given below .

In the question ,

it is given that ,

(A-B) ∩ (C-B) = A - (B ∪ C)  ,

we use Boolean algebra to prove it ,

Solving LHS first ,

= (A-B) ∩ (C-B)

= A ∩ B' ∩ C ∩ B'          .....because (A - B) = A ∩ B'

= A ∩ B' ∩ C                  ..... because B' ∩ B' = B'

Solving RHS ,

we get ,

= A - (B ∪ C)

= A ∩ (B ∪ C)'            ....because (A - B) = A ∩ B'  ,

= A ∩ (B' ∩ C')            .....by DE Morgan's Law

= A ∩ B' ∩ C'

we see that , LHS ≠ RHS ,

So , the statement is False .

The counter Example is ,

Let A = { 1, 2, 3} , B = { 1, 2, 4} , C = { 2, 4, 5}

LHS is = (A - B) ∩ (C - B)

Putting the values,

LHS = { 3 } ∩ { 5 } = ∅

and  RHS = A - (B υ C)

Putting  the  values,

RHS = { 1, 2, 3} - { 1, 2, 4, 5}

= { 3 }

So , LHS ≠ RHS

Therefore , we have proved that the given statement is false using a counter example .

The given question is incomplete , the complete question is

Prove that each statement is true and find a counterexample for each statement that is false. assume all sets are subsets of universal set u .

For all sets A,B,C,

(A-B) ∩ (C-B) = A - (B ∪ C)

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The answer is

x ≤ -3  

We cannot conclude that listening to Mozart will lead to much higher scores on an IQ test based on the given information.

While the mean IQ scores were 1.2 points higher after listening to Mozart, the statistical significance of this difference depends on the chosen level of significance (alpha level) and the sample size. The p-value of 0.0004 indicates that if there is no difference in IQ scores between the Mozart and silent background conditions in the population, there is only a 0.04% chance of observing a sample mean difference of 1.2 points or larger. However, we would need to know the alpha level and sample size used in the study to determine if this is statistically significant at a practical level. Additionally, this experiment only shows a correlation between listening to Mozart and higher IQ scores, and cannot prove causation.

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Answer:

11

81

Step-by-step explanation:

x = 7y + 4

x + y = 92

Solve for x in the second equation

x = 92 - y

92 - y = x

Equate the 2 xs

92 - y = 7y + 4         Add y to both sides

92 = 7y+y + 4          Combine

92 = 8y +  4             Subtract 4 from both sides

88 = 8y                    Divide by 8

88/8 = y

y = 11

===========

x = 7y + 4

x = 77 +4

x = 81

The nurse will have to administer 3 milliliters with each dose.

When the prescriber orders medication f 150 mcg po q.12h, the pharmacy sends a bottle labeled:

medication f 0.05 mg/ml.

Milliliters will the nurse administer with each dose :

The conversion factor from mcg to mg is 1/1000.

Therefore, 150 mcg = 150/1000 = 0.15 mg.

The nurse has to administer 0.15 mg of medication f per dose.

The medication f available with the pharmacy is 0.05 mg/ml.

So, the nurse has to administer 0.15 mg in a single dose, which is equal to three times the quantity of medication f available in the bottle (0.05 mg/ml).

Therefore, the nurse has to administer 3 ml (0.05 mg/ml × 3 ml) of medication f with each dose.

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The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

119

Step-by-step explanation:

just times the numbers

Answer:

100 gallons of water would cost $119

Step-by-step explanation:

Multiply 100 by 1.19 and you get 119.

The cost of 100 gallons of water would be $119.

Sam's house is at a distance of approximately 8.062 meters far from the gas station.

Nota - The statement is incomplete. Complete form is described below:

The location of Sam's house, the library, and the gas station is shown on the map below. What is the distance from Sam's house to gas station? The coordinate of each location are presented below: (Distances are given in miles)

Sam's house

\(S(x,y) = (2, -4)\)

Library

\(L(x,y) = (-5, 2)\)

Gas station

\(G(x,y) = (3,4)\)

The distance (\(d\)), in miles, is determined by the line segment distance formula, whose vectorial form is presented:

\(d = \sqrt{[S(x,y)-G(x,y)]\,\bullet \,[S(x,y)-G(x,y)]}\) (1)

Where \(\bullet\) is used in an operation known as dot product.

If we know that \(S(x,y) = (2, -4)\) and \(G(x,y) = (3,4)\), then the distance between Sam's house and the Gas station is:

\(d = \sqrt{(2 - 3)^{2}+[(-4)-4]^{2}}\)

\(d \approx 8.062\,mi\)

Sam's house is at a distance of approximately 8.062 meters far from the gas station.

Step-by-step explanation:

what is to be done ? just that addition ?

first, let's all bring to pure fractions.

7 2/3 = (7×3 + 2)/3 = 23/3

2 1/5 = (2×5 + 1)/5 = 11/5

then let's bring all to a common denominator (bottom part of the fraction).

for this, we need to find the first (or any) common multiple of the 2 denominators (here 3 and 5).

if you have no other idea, just multiply them with each other (in our case here this is also the smallest common multiple) : 3×5 = 15.

so, we bring both fractions into the form of .../15. then it is easy to add them.

23/3 = x/15

x = 23/3 × 15 = 23×15/3 = 23×5 = 115

=>

23/3 = 115/15

11/5 = x/15

x = 11/5 × 15 = 11×15/5 = 11×3 = 33

=>

11/5 = 33/15

now the addition :

115/15 + 33/15 = 148/15 or 9 13/15

this is the result, as it cannot be further simplified.

Answer:

its  C

Step-by-step explanation:

srry if im wrong:(

Answer:

44.8

Step-by-step explanation:

44.4 - (-0.4) = 44.8

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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Answer: x = 6, Angle ABC = 45, Angle DBC = 34

Step-by-step explanation:

79 = (5x + 4) + (8x - 3)

79 = 13x + 1

78 = 13x

x = 6

8x - 3      plug in 6 for x

8(6) - 3

Angle ABC = 45

5x + 4     plug in 6 for x

5(6) + 4

Angle DBC = 34

We have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.

To prove that 4 divides (m^2 * n^2) if and only if m and n are even, we need to prove two implications:

If 4 divides (m^2 * n^2), then m and n are even.

If m and n are even, then 4 divides (m^2 * n^2).

Let's start with the first implication:

If 4 divides (m^2 * n^2), then m and n are even.

We can prove this by contrapositive. Assume that m and n are not both even, which means that at least one of them is odd. Without loss of generality, let's assume that m is odd. Then m can be written as m = 2k + 1, where k is an integer. Substituting this into the expression for m^2 * n^2, we get:

m^2 * n^2 = (2k + 1)^2 * n^2

= 4k^2 * n^2 + 4kn^2 + n^2

Note that the first two terms in this expression are both divisible by 4, but the last term (n^2) is not necessarily divisible by 4, since n could be odd. Therefore, m^2 * n^2 is not divisible by 4 if m and n are not both even. This proves the contrapositive, and hence the first implication.

Now, let's move on to the second implication:

If m and n are even, then 4 divides (m^2 * n^2).

We can prove this directly. Since m and n are even, we can write them as m = 2k and n = 2j, where k and j are integers. Substituting these into the expression for m^2 * n^2, we get:

m^2 * n^2 = (2k)^2 * (2j)^2

= 4k^2 * 4j^2

= 16(k^2 * j^2)

Since k and j are integers, k^2 * j^2 is also an integer, and hence 16(k^2 * j^2) is divisible by 4. Therefore, m^2 * n^2 is divisible by 4 if m and n are both even. This proves the second implication.

Since we have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.

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Answer:

75

Step-by-step explanation:

When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.

250*.3=75

Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1

=====================================================

Explanation:

Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.

If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.

Each statement being false means we do not update the max to its proper value -2. It stays at -1.

This is why we shouldn't set the max to some random value at the start.

It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.

Answer:

Step-by-step explanation:

The triangles are congruent because they are the same shape, size, and angle measure. The lines on the angles show that two angles have the same measure. The line on the line segments shows that it hads the same length.