4. The pH of a liquid is a measure of its acidity or alkalinity. Pure water has a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 are basic or alkaline. The dataset FloridaLakes gives information, including pH values, for a sample of lakes in Florida. Computer output of descriptive statistics for the pH variable is shown

Answer:

3x-4y+3 is linear equation.

3×1-4×1+3

3-4+3

3+3-4

6-4

2

Answer:

Well there's no way to really simplify it cuz we aren't given what x and y are equal too.  Plus, none of the terms are the same, so you can't combine anything.

Mr. Vellman has a test bank with 75 multiple-choice questions on Lesson 4.7, and the test bank comes with a random generator that will select and arrange questions to make different versions of a test.

If Mr. Vellman wants to create a 10-question multiple-choice test on this lesson, there are a few different ways to approach the problem. One method is to use the combination formula, which calculates the number of ways to choose a certain number of items from a larger set without regard to order. In this case, we want to know how many different combinations of 10 questions can be selected from a pool of 75 questions. The formula for this is: nCr = n! / r! (n - r)! where n is the total number of items, r is the number of items being selected, and ! denotes the factorial function (i.e., n! = n x (n-1) x (n-2) x ... x 1).

Using this formula, we can calculate the number of different versions of a 10-question test that Mr. Vellman could make from his test bank: 75C10 = 75! / (10! (75-10)!) = 75! / (10! 65!) = 75 x 74 x 73 x ... x 66 / 10 x 9 x 8 x ... x 2 x 1 This simplifies to: 75C10 = 6,424,369,000 Therefore, Mr. Vellman could create over 6 billion different versions of a 10-question multiple-choice test on Lesson 4.7 using his test bank.

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Hello There!

Question:-

2 + (4 × 2) – (16 ÷ 2)

We need to simplify the arithmetic expression.

Solution:-

The arithmetic expression given may be rewritten as :-

\( \sf \: 2 + (4 \: * \: 2) - \bigg( \dfrac{16}{2} \bigg)\)

Firstly , Solve For Multiplication :-

\(\sf \longmapsto \: 2 + 8 - \dfrac{16}{2} \)

Secondly, Solve for Addition:-

\(\sf \longmapsto \: 10 - \dfrac{16}{2} \)

Simplify the Fraction:-

\(\sf \longmapsto \: \dfrac{10}{1} - \dfrac{16}{2} \)

On Simplification:-

\(\sf \longmapsto \: \dfrac{10(2) - 16}{2} \)

\(\sf \longmapsto \: \dfrac{20 - 16}{2} \)

\(\sf \longmapsto \: \cancel\dfrac{4}{2} \)

\(\sf \longmapsto \: 2\)

_____________________________________

Henceforth,The simplified form of the arithmetic expression is :-

\( \boxed{ \boxed{\huge\bf \: 2}}\)

________________________________

Please let me know if you have any further questions.

~MisterBrian

\(\huge\text{Hey there!}\)

\(\huge\textbf{Just do PEMDAS....}\)

\(\star\large\textsf{ Parentheses}\\\star\large\textsf{ Exponents}\\\star\large\textsf{ Multiplication}\\\star\large\textsf{ Division}\\\star\large\textsf{ Addition}\\\star\large\textsf{ Subtraction}\)

\(\mathsf{2 + (4\times2) - (16\div2)}\\\mathsf{= 2 + (\bold{8})- (\bf 8)}\\\mathsf{= 2 + \bf 8 - 8}\\\mathsf{= 2 + \bf 0}\\\mathsf{= 2}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{2}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

To determine the number of possibilities for the articles of clothing that Peg can choose to pack, we need to consider the different combinations.

Since Peg plans to take 3 shirts and 2 pairs of pants, we will focus on the shirts first. There are 3 shirts in total, so we can break down the possibilities based on the number of long sleeve shirts she chooses to pack.

Case 1: Peg packs 1 long sleeve shirt and 2 short sleeve shirts.

In this case, there are 2 ways to choose the long sleeve shirt (as there are 2 long sleeve shirts available), and 2 ways to choose each of the short sleeve shirts (as there are 2 short sleeve shirts available).

So, for Case 1, there are 2 options for the long sleeve shirt and 2 options for each of the short sleeve shirts. Therefore, the total number of possibilities for Case 1 is 2 * 2 * 2 = 8.

Case 2: Peg packs 2 long sleeve shirts and 1 short sleeve shirt.

Similarly, in this case, there are 2 ways to choose the short sleeve shirt and 2 ways to choose each of the long sleeve shirts.

Thus, for Case 2, there are 2 options for the short sleeve shirt and 2 options for each of the long sleeve shirts. Therefore, the total number of possibilities for Case 2 is 2 * 2 * 2 = 8.

Case 3: Peg packs all 3 long sleeve shirts.

In this case, there is only one option for each shirt since all the shirts are long sleeve shirts.

Therefore, for Case 3, there is 1 option for each of the long sleeve shirts. Hence, the total number of possibilities for Case 3 is 1 * 1 * 1 = 1.

Now, to find the total number of possibilities, we add up the possibilities from each case:

Total number of possibilities = Case 1 + Case 2 + Case 3

Total number of possibilities = 8 + 8 + 1

Total number of possibilities = 17

Therefore, there are 17 possibilities for the articles of clothing Peg can choose to pack, given that she wants at least one long sleeve shirt.\

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The total value of a triangle's angles is 180*

so x=180-y-z

x=180-76-41

x=63*

hope it helps

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

The probability of the product of the two numbers being a multiple of 5 are 9/36.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

We can approach this problem by listing out all the combinations of two numbers from 1 to 6 and counting the number of combinations for which the product is a multiple of 5.

There are 6 x 6 = 36 possible combinations of two numbers from 1 to 6.

The combinations for which the product is a multiple of 5 are: (1, 5), (5, 1), (2, 5), (5, 2), (3, 5), (5, 3), (4, 5), (5, 4), and (5, 5).

So, there are 9 possible combinations for which the product is a multiple of 5.

The probability that the product of the two numbers is a multiple of 5 is 9/36. Expressing this as a common fraction, we have:

P(product is a multiple of 5) = 9/36 = 1/4

The probability that the product of the two numbers is a multiple of 5 is 9/36.

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Answer:

Question 1

Question 2

Answer:

\( (0, 8\sqrt{3}) \)  and  \( (0, -8\sqrt{3}) \) are both 14 units from points (-2, 0) and (2, 0).

Step-by-step explanation:

distance formula

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

We want the distance, d, from points (-2, 0) and (2, 0) to be 14.

Point (-2, 0):

\( 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} \)

\( \sqrt{(x + 2)^2 + y^2} = 14 \)

Point (2, 0):

\( 14 = \sqrt{(x - 2)^2 + (y - 0)^2} \)

\( \sqrt{(x - 2)^2 + y^2} = 14 \)

We have a system of equations:

\( \sqrt{(x + 2)^2 + y^2} = 14 \)

\( \sqrt{(x - 2)^2 + y^2} = 14 \)

Since the right sides of both equations are equal, we set the left sides equal.

\( \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} \)

Square both sides:

\( (x + 2)^2 + y^2 = (x - 2)^2 + y^2 \)

Square the binomials and combine like terms.

\( x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 \)

\( 4x = -4x \)

\( 8x = 0 \)

\( x = 0 \)

Now we substitute x = 0 in the first equation of the system of equations:

\( \sqrt{(x + 2)^2 + y^2} = 14 \)

\( \sqrt{(0 + 2)^2 + y^2} = 14 \)

\( \sqrt{4 + y^2} = 14 \)

Square both sides.

\( y^2 + 4 = 196 \)

\( y^2 = 192 \)

\( y = \pm \sqrt{192} \)

\( y = \pm \sqrt{64 \times 3} \)

\( y = \pm 8\sqrt{3} \)

The points are:

\( (0, 8\sqrt{3}) \)  and  \( (0, -8\sqrt{3}) \)

Answer:

Step-by-step explanation:

Those are cute names

Im thinking of the name Samia because it means

The expression that shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down is t = (240 - (v/120) * 240) / (120 - v)

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

The relation between time, t, and the speed at which Rashid slows down, v, is given by the formula:

t = (240 - (v/120) * 240) / (120 - v)

t = time

v= speed.

This formula can be derived by using the distance formula (distance = speed x time) and the fact that the distance traveled is constant (240 km).

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Answer:

2

Step-by-step explanation:

Step-by-step explanation:

ANSWER: DAB

Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

Answer:

\(x=\frac{-3}{2}\)

Step-by-step explanation:

\(2 + 4 ( x + 1 ) = 0\)

\(2 + 4x + 4 = 0\)

\(6 + 4x = 0\)

\(4x = -6\)

\(x = \frac{-3}{2}\)

Answer:

the last one : the range of the function is all real numbers less than our equal to 9.

Step-by-step explanation:

it is a parabola that opens up only down. that means all the calculated y-values go deeper and deeper into lower and negative values the more right or left we go on the x-axis.

the maximum y-value we have at the vertex with y=9. no other x-value can generate a bigger y-value.

that's why the last answer option is right.

Given:

4z-2z(1+4)-36 for z=5

4z-2z(1+4)-36=4(5)-2(5)(5)-36

=20-50-36

=-66

Answer:

21

Step-by-step explanation:

2x + 3 = 45  Subtract 3 from both sides

2x = 42  Divide both sides by 2

x = 21

Answer:

I have answered alot of ur questions

The domain and the range of the relation are given by the following option:

d. domain: {1, 2, 3}, range: {–1, 0, 1}.

The domain of a function is the set that contains all the input values, which are the values from which the arrow departs.

The range of a function is the set that contains all the output values, which are the values from which the arrow arrives.

Considering these definitions and the description of the set, the correct option is given by option d.

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Answer:

225

Step-by-step explanation:

(- 15)² = - 15 × - 15 = 225

Answer:

they will get 3 each

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dot Plot A:

.........

..........

In Dot Plot A, the data points are evenly distributed on both sides of the median, creating a roughly symmetric distribution.

Dot Plot B:

...........

.....

In Dot Plot B, the data points are not symmetrically distributed around the median. The left side has more data points than the right side, resulting in an asymmetric distribution.

Please note that the actual values of the data points are not provided, as the focus is on the distribution and symmetry.

We know that, Amount in Compound interest is given by :

\(\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}\)

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

\(\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}\)

\(\sf{\implies Time \ period = (25 \times 4) = 100}\)

Substituting all the values in the formula, we get :

\(\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}\)

\(\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}\)

\(\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}\)

\(\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}\)

\(\implies \sf{Amount = 2000 \times (1.0125)^{100}}\)

\(\implies \sf{Amount = 2000 \times 3.463}}\)

\(\implies \sf{Amount = 6926.8}\)

Answer:

M contains 3,4,7,9

M bar is 2 ,5 ,6 ,8

Step-by-step explanation:

The set for M is what is in the circle labeled M

M contains 3,4,7,9

The question in the picture asks for M bar which is what is not contained in M

M bar is 2 ,5 ,6 ,8

Answer:

I believe the answers are 2,3, and 4.

Step-by-step explanation:

You are the lucky winner because you have found this answer. Have a good day.

The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

The reflection does not change the shape and size of the geometry. But flipped the image.

Let's check all the options. Then we have

A.The red triangle A is reflected across the x-axis onto triangle B. Incorrect, because the orientation is different.

B.The red triangle A is reflected across the y-axis onto triangle D. Correct.

C.The blue triangle D is reflected across the x-axis onto triangle C. Correct.

D.The blue triangle D is reflected across the line y = x onto triangle B. Correct, because the orientation is different.

E.The green triangle C is reflected across the line y = –x onto triangle A. Correct.

The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.

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The missing diagram is given below.

Answer:

10x+20

Step-by-step explanation:

I'm not 100% sure on this.

The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Steps are,

Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.

Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.

Step 3: Draw a line through the two points of intersection of the arcs.

Now, Cleary this method is used to divide a line in two equal parts.

Hence, The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

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Answer:

0.083333333

is the answer

Answer:

12

Step-by-step explanation: