What is the binary number for 12​

The complete equation of each line for the given problem will be:

1. Perpendicular line:\(y = -1/2x + 1\), 2. Parallel line:\(y = x + 2\),

3. Perpendicular line: \(y = -x + 4\), 4. Parallel line: \(y = -x + 4\)

A line equation's slope-intercept form is provided by:

\($y = mx + b$\)

where b stands for the y-intercept, which is the y-coordinate of the point where the line crosses the y-axis, and m stands for the line's slope.

Alternatively, for the point-slope form of a line equation, it is given by:

\($y - y_1 = m(x - x_1)$\)

where, m represents the slope of the line, and  \((x_{1} , y_{1} )\)represents a point on the line. When the slope of the line and a point on the line are known, this form is helpful..

1. Line  \(y=2x-7\), has a slope of 2 (the coefficient of x), a line perpendicular to it will have a slope that is the opposite reciprocal of 2, which is \(-1/2\), \((x_{1} , y_{1} )=(4,-1)\)

Using, \($y - y_1 = m(x - x_1)$\)

\(y - (-1) = -1/2(x - 4)\)

\(y + 1 = -1/2x + 2\)

2. Line, \(y=x\), has a slope of 1, a line parallel to it will have the same slope of 1, \((x_{1} , y_{1} )= (2,4)\)

\(y - 4 = 1(x - 2)\\y - 4 = x - 2\\y = x + 2\)

3. Line, \(y=x\), has a slope of 1, a line perpendicular to it will have a slope that is the opposite reciprocal of 1, which is -1, \((x_{1} , y_{1} )= (2,2)\)

\(y - 2 = -1(x - 2)\\y - 2 = -x + 2\\y = -x + 4\)

4. Line,\(y=-x+10\), has a slope of -1 (the coefficient of x), a line parallel to it will have the same slope of -1, \((x_{1} , y_{1} )= (-1,5)\)

\(y - 5 = -1(x - (-1))\\y - 5 = -x - 1\\y = -x + 4\)

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Answer:

0.8

Step-by-step explanation:

-4/4 + 160% + 1/5 =

= -1 + 1.6 + 0.2

= 0.8

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer: x * 12 + 25 = 75

Step-by-step explanation:

product of a number and twelve — x*12

Twenty five more than the product of a number and twelve — x * 12 + 25

Twenty five more than the product of a number and twelve is seventy five — x * 12 + 25 = 75

Answer:

hear i attached

hope it helps

Answer:

8/3

Step-by-step explanation:

To answer this question, we will set and solve a linear equation.

Let x be the original price of the painting, with the given information we can set the following equation:

Subtracting 500 from the above equation we get:

Dividing by 2 we get:

Therefore, the original price of the painting was

dollars.

Answer: $7750.

2b. The probability that Iqbal passes at least two of the papers he attempts is 0.468.

2c. The probability that Iqbal passes his third paper, given that he passed only one previous paper, is 0.64.

To calculate this, we can use the probability tree diagram and add up the probabilities of the branches where Iqbal passes at least two papers. These branches are PPF, PFP, FPP, PPP, PFF, and FPF. The sum of their probabilities is 0.468.  Therefore, the probability that Iqbal passes at least two of the papers he attempts is 0.468.

We can use Bayes' theorem to find this probability. Let A be the event that Iqbal passes his third paper, and let B be the event that he passed only one previous paper. Then we want to find P(A|B). We know that P(A) = 0.6 + 0.7 + 0.8 = 2.1 and P(B) = 0.60.40.6 + 0.60.40.4 + 0.40.70.6 = 0.288. We also know that P(A and B) = 0.60.40.4 + 0.40.70.4 + 0.40.30.8 = 0.16. Then, by Bayes' theorem,

P(A|B) = P(A and B)/P(B) = 0.16/0.288 = 0.5556 ≈ 0.64.

Therefore, the probability that Iqbal passes his third paper, given that he passed only one previous paper, is 0.64.

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Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

Answer:

$4n

Step-by-step explanation:

The variable identified in question 1 isn't given ;

If the cost per unit of fruit = $4

The total cost of fruit will be :

Cost per fruit * number of fruits

If the number of fruits is denoted by the variable, n

The the total cost of fruit will be :

Cost per fruit, $4 * number of fruits, n

Total cost = $4 * n = $4n

There are many possible answers for this.

One example is below.

S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.

We can represent this as s + 7.

The value that we don't know is the number of

stations included when a person orders basic cable.

So we can represent that as s.

Then, since the person ordered 7 premium channels, that means he

is adding an additional 7 channels to his basic cable plan.

So we can represent this as s + 7.

Answer:

a number plus 7

Step-by-step explanation:

s+7

Let s represent an unknown number

a number plus 7

The sample variance is 9 and the standard error is 1.

According to the statement

we have to find that the sample variance and estimated standard error with the help of the sample of n = 9 scores with s = 72.

So, For this purpose, we know that the

Sample variance (s^2) is a measure of the degree to which the numbers in a list are spread out.

And

The standard error of measurement is about the reliability of a measure. It indicates how variable the measurement error of a test is, and it's often reported in standardized testing.

and

With help of the value of n and s which is 9 and 72.

Then

The sample variance becomes 9 and then standard error become 1.

So, The sample variance is 9 and the standard error is 1.

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Answer: 15

Step-by-step explanation:

d(distance) = \(\sqrt{x^2 + y^2}\)= \(\sqrt{225}\)

= 15

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer: median and IQR

Step-by-step explanation:

one is skewed

The better statistics to compare the team scores are median and IQR.  

Option D is the correct answer.

We have,

From the box plot,

We can easily find the value of the median and Interquartile range.

Now,

Team A:

Median = 68

First quartile = 65

Third quartile = 80

IQR = 80 - 65 = 15

Team B:

Median = 79

First quartile = 68

Third quartile = 90

IQR = 90 - 68 = 22

Thus,

The better statistics to compare the team scores are median and IQR.  

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The number of units that tile will he need to surround his pool is 19.82units.

this question is of quadratic equation ,

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have,

AB = 4.24 units

BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units.

The number of units that tile will he need to surround his pool is 19.82units.

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The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Answer:

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Step-by-step explanation:

LET x and  x+1 be the two numbers here, as your hint suggests.

5x + 3(x+1) = 59

5x + 3x+3 = 59

8x = 59-3

8x = 56

/8      /8

--------------------------

x = 56/8 ---> x = 7

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Check:

5 * 7 + 3 * 8 = 59

35 + 24 = 59

59 = 59 CORRECT

Mark is 12 years old now,in 4 years time he will be 16.

Let Mark's present age be m years and Jane's present age be n years.

10 years ago, Jane was twice as old as Mark is now.

So, we get an equation

n - 10 = 2m               ...........(1)

In two years Jane will be three times as old as Mark is now.

So, we get an equation

n + 2 = 3m                   ............(2)

We need to find Mark's age after 4 years.

From equation (1),

n = 2m + 10                 .........(3)

Substitute the value of n in equation (2),

(2m + 10) + 2 = 3m

2m + 12 = 3m

m = 12

After 4 years Mark's age would be,

m + 4 = 12 + 4

         = 16 years

Therefore, in 4 years time Mark will be 16.

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Answer:

-30b

Step-by-step explanation:

By using the distributive property,

→ -3b(6 + 4)

→ -3b × 10

→ -30b

Hence, the solution is -30b.

Answer:

There is no mode !

Step-by-step explanation:

Hello,

what is the mode of a set of data?

It is the value in the set that occurs most often.

To note that this is also possible to have a set of data with no mode.

in this example, let's order them

7, 8, 11, 12, 13, 14, 15, 20

There is no repetition, right? each value occurs only once.

So, there is no mode!

hope this helps

The width of a rectangle that has the length of 72 would be = 90 inches. That is option B.

A proportional rectangule represents the rectangles that have similar ratios of both length and width.

From the table given,

Rectangle with length 8 = width 10

Rectangle with length 12 = width 15

Rectangle with length 24 = width 30

We can now say that if 8 = 10 the width of length 72 = X

Make X the subject of formula;

X = 72×10/8

X = 720/8

X = 90 inches.

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Answer:

14,400

Step-by-step explanation:

I'm assuming this is multiplication so it would be 14,400

Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

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Answer:

a is greater by 25

Step-by-step explanation:

a is greater by 25 hope it helps

Answer:64

Step-by-step explanation:

a is greater

a is 64

Answer:

Definitions of alpha, beta and gamma radiation, decay equations and half-life definition and calculations. Fission and fusion definitions and an example.

Answer: X=19

Step-by-step explanation:

Add up everything and set it to 180 degrees so (5x+4)+(x-2)+(3x+7)=180

next 9x+9=180

then 9x=171

x=19

If you want to check by pluggin in value for x for all angles and it should equal 180 added up

Angle POS= 99

Angle SOR= 17

Angle ROQ= 64

99+17+64=180 degrees

Answer:

i have made it in above picture

hope it helps

Answer:

The midpoint is (1,2)

Step-by-step explanation:

X1 + Y1/2  ,  X2+Y2/2

-1+3/2 , 6-2/2

2/2 , 4/2(simplify)

1 , 2