Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Answer:

A)---(2,2)

B)---(-6,4)

C)---(-4,7)

D)---(2,4)

Answer:

A= (2,2) B= (-6,4) C= (-4,7) D= (2,4)

Step-by-step explanation:

Answer:

3x-2

Step-by-step explanation:

Kevin has 3x-2 coins because 3 times the amount that Karen has is 3x and he has 2 coins fewer so that's -2.

Answer:

a=6

Step-by-step explanation:

to find the value of a you need to simplify the equation first. so...

3(a+3)-6=21 (you remove the bracket first)

3a+9-6=21

3a+3=21 (you collect the like terms then)

3a=21-3

3a=18 (then you both divide both sides by 3 to find the value of a)

a=18/3

a=6

to check your answer substitute 3 instead of a

3(a+3)-6=21

3(6+3)-6=21

3(9)-6=21 (according to BODMAS since multiplication comes first you multiply 3 with 9 before subtracting it from 6.)

29-6=21

21=21

Answer:6

Step-by-step explanation:

3(a + 3) - 6 = 21

3(a + 3) = 21 + 6

3(a + 3) =27

a + 3. = 27 ÷ 3

a + 3. = 9

a. = 9 - 3

a. = 6

Answer:

B. -2x + 10 is the correct answer

Answer:

(C) -2x + 10

Step-by-step explanation:

This is going to be multiplication from the first number outside the "Bubble"

                              -2 multiplied by x = -2x ,

why ? because a negative times a positive makes a negative    

                      Next is -2 multiplied by -5 = 10

why ? because a negative times a negative = equals a positive !

now .. you add up all of the sums together to make an equation ..

                            Answer would be -2x+10

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

An example of contextualization in teaching is when writing skills are taught with reference to topics.

It should be noted that the contextualization of basic skills is the instructional approach that gives connections in teaching.

In this case, an example of contextualization in teaching is when writing skills are taught with reference to topics.

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Answer:759

Step-by-step explanation:

Answer: 7.25 ×10^9

There are 9 digits after the first number (7), so 10 is raised to the power of 9

Answer:

Verified

Explanation:

Given the identity:

We apply the following identity:

Therefore:

Thus, the identity is verified since both sides of the identity are equal.

Answer:

\(\frac{P}{8.2\\}=9.3\\\\P=9.3 x 8.2 \\\\P= 76.26\)

Step-by-step explanition

Hope This Helps!

The value of p is 76.26 is the equation p divided by 8.2 = 9.3

Two or more expressions with an Equal sign is called as Equation.

p divided by 8.2 = 9.3

A division is a process of splitting a specific amount into equal parts.

We have to find the value of p.

p/8.2 = 9.3

p divided by eight point two equal to nine point three

Apply cross multiplication

p=9.3×8.2

p=76.26

Hence, the value of p is 76.26 is the equation p divided by 8.2 = 9.3

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Step-by-step explanation:

use formula to find hypotenuse

\( \sqrt{ {(a)}^{2} } + {(b)}^{2} = c\)

it will be

square root (11)² + (5)² = c

square root 121 + 25 = c

square root 146 = c

12.08 = c

LM = 12.08

Answer:

11

Step-by-step explanation:

To find LM we need PM. We can use the Pythagorean Theorem:

Now using the Pythagorean Theorem, we can find LM:

Or you could have seen that triangle LPM is congruent to triangle NPM by SAS (5, 90º, and PM) so LM=NM=11.

Answer:

20

Step-by-step explanation:

2(5)+10=20

\(\huge \colorbox{pink}{Mathematics}\)

2x + 10 when x = 5

\(2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20\)

Correct me if I'm wrong

I hope it helps ^_^

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

5

Step-by-step explanation:

The Pythagorean theorem is: a^2 + b^2 = c^2

The hypotenuse (the diagonal line) is c, while the base and side are a and b.

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

the square root of 25 is 5, so c would be 5

Answer: 5

Step-by-step explanation:

Pythagorean Theorem:  a² + b² = c²

Side A: 4

Side B: 3

Side C/ Hypotenuse: ?

1) Form equation...

4² + 3² = c²

2) Simplify and Solve...

16 + 9 = c²

c² = 25

3) Now find the square root of 25 which is c (your answer)

\(\sqrt{25} = 5\)

let's recall that the conjugate of any expression is simply the same pair with a different sign between, so conjugate of "a + b" is just "a - b" and so on.  That said, let's use the conjugate of the denominator

\(\cfrac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}\cdot \cfrac{\sqrt{2}+\sqrt{3}}{\sqrt{2}+\sqrt{3}}\implies \cfrac{(\sqrt{2}+\sqrt{3})(\sqrt{2}+\sqrt{3})}{\underset{ \textit{difference of squares} }{(\sqrt{2}-\sqrt{3})(\sqrt{2}+\sqrt{3})}}\implies \cfrac{\stackrel{ F~O~I~L }{(\sqrt{2}+\sqrt{3})(\sqrt{2}+\sqrt{3})}}{(\sqrt{2})^2-(\sqrt{3})^2} \\\\\\ \cfrac{2+2\sqrt{2}\cdot \sqrt{3}+3}{2-3}\implies \cfrac{5+2\sqrt{6}}{-1}\implies \boxed{-5-2\sqrt{6}}\)

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The equation that can represent the fee for x hours is y = 10 + 5x.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

We have,

Initial fee = $10

Let the constant fee for each hour of work = M

Fee for 5 hours of work = $35

Every mowing job for 5 hours = Initial fee + constant fee for 5 hours
$35 = $10 + M x 5

35 = 10 + 5M

25 = 5M

M = 5

So,

If y represents Anumeha's fee (in dollars) for a single job that took x hours for her to complete.

We can write an equation as:

y = 10 + 5x

Thus the equation that can represent the fee for x hours is y = 10 + 5x.

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Answer:

use the Pythagoras theorem

Step-by-step explanation:

x²+(2x)²=x²+4x²=5x²

square root of 5x²= (square root of 5)x

Answer:

585 foxes

Step-by-step explanation:

36/12 = 3    

That means there are 3 fifteen-year periods in 36 years.  

So after 3 fifteen-year periods, there will be 65 × 3³ foxes

That is 75(27) foxes  

585 foxes

Emerson actually hit the ball 32% of times at bat.

What is percentage ?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Since in Game 1, Emerson struck out 30 times in 90 times at bat;

in Game 2, he struck out 40 times in 120 times at bat;

in Game 3, Emerson struck out 42 times in 140 times at bat;

To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:

(30 + 40 + 42) / (90 + 120 + 140) = X

112/350 = X

0.32 = X

Therefore, Emerson actually hit the ball 32% of times at bat.

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Answer:

\(y=-2x-1\) .

Step-by-step explanation:

The given equation of line is

\(y=-2x-1\)

The above line dilated with a scale factor of 2 and centered at (1,-3).

Substitute \(x=1\) in the given equation.

\(y=-2(1)-1\)

\(y=-2-1\)

\(y=-3\)

The line passing through (1,-3). It means, the given line passing through the center of dilation.

We know that if a line passes through the center of the dilation, then nothing will change and equation of image is same as the equation of line.

So, the equation of image of line is \(y=-2x-1\).

The y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

The standard form of an equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

Given the equation of a line expressed as y = -2x - 1

If the line is transformed by dilation with a scale factor of 2 and centred at (1, -3)

First, we will need to find the y-value for which x = 1

y = -2(1) - 1

y = -2 - 1

y = -3

Since the y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

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Answer:

8%

Step-by-step explanation:

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

The inequality that can be used to determine x, the maximum number of outfits David can purchase at the bicycle store while staying within his budget is 344.97 + 79.43x ≤ 540.

An inequality is a mathematical statement that shows that two or more mathematical expressions are unequal.

Inequalities are represented as either:

David's total spending budget at the bicycle store = $540

Tax-inclusive Prices:

New Bicycle = $298.79

3 Bicycle reflectors = $24.39 ($8.13 x 3)

A pair of bike gloves = $21.79

Total for the three items = $344.97

The remaining amount of the budget after the three items = $195.03

The cost of new biking outfits per unit = $79.43

Let the maximum number of outfits = x

$344.97 + $79.43x ≤ $540

344.97 + 79.43x ≤ 540

79.43x ≤ 540 - 344.97

79.43x ≤ 195.03

x ≤ 2

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