How do you find a vector in a null space?

Answer:

\(-\frac{15}{2}\)

Step-by-step explanation:

\(\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}\)

\(4x^2+12x-135=135-135\)

\(\mathrm{Simplify}\)

\(4x^2+12x-135=0\)

\(x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4\)

Answer:

The probability of the spinner landing on 2 is one fourth.

Step-by-step explanation:

The spinner is split into 4 equal parts labeled 1, 2, 3, 4

The probability of the spinner landing on 2 is given as:

(Possibility of it landing on 2) ÷ (Total possible outcome)

The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.

It can only land on 2 once, so the possibility of it landing on 2 is 1.

Probability = 1/4

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

slope of line that is parallel is 1/2

slope of line that is perpendicular is -2

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have slopes that are opposite and reciprocal

x - 2y = -1

-2y = -x -1

y = 1/2x + 1/2

the coefficient of the 'x' term represents the slope

as a simplified fraction, the answer is 4/77

as a decimal it is about 0.0519480519480519

The Upper Control Limit (UCL) for the X-chart is approximately 14.028.

To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).

The control limits for the X-chart can be determined using the following formulas:

\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)

\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)

In these formulas:

X-double-bar represents the overall average measurement.

MR-bar represents the average moving range.

A2 is a constant that depends on the sample size.

The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

In your case, the overall average measurement is 12.5, and the average moving range is 0.5.

Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)

\(\approx 3.267 - (0.15 \times 1.414)\)

≈ 3.267 - 0.2121

≈ 3.0559

Now, we can calculate the control limits for the X-chart:

\(UCL = X-double-bar + A2 \times MR-bar\)

\(= 12.5 + 3.0559 \times 0.5\)

= 12.5 + 1.52795

≈ 14.028

Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.

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Answer:

10.62 is the correct answer ☺

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

Answer: a type of equation

Step-by-step explanation:

Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.

here, we have,

Given that ΔABC and ΔDEF are similar triangles, therefore:

Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.

Let, x, y, and z be the sides of ΔDEF.

Let z = 18

Thus:

a/x = b/y = c/z

Substitute

6/x = 8/y = 12/18

Find x using 6/x = 12/18:

6/x = 12/18

Cross multiply

x = 18*6/ 12

x = 9

Find x using 8/y = 12/18:

8/y = 12/18

Cross multiply

x = 18*8/12

x = 12

Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

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The softball manager can create 55 9-player starting lineups from 11 players of the same ability using combinations.

The combination is the process of calculating the number of ways of selecting a smaller set of articles, from a larger set of articles, in no particular order.

If we need to select r number of articles, from n number of articles in no particular order, we calculate the number of ways of doing so using combinations by the formula,

nCr = n!/{ r!(n - r)!}.

In the question, we are given that a softball manager has 11 players of the same ability, and are asked to calculate the number of lineups the manager can create of 9 players.

To calculate this, we use combinations as the order of selection is not of concern.

The smaller set is, r = 9, and the larger set is n = 11.

Using the formula of combinations, nCr = n!/{ r!(n - r)!}, we can show that:

11C9 = 11!/{ 9!(11 - 9)!},

or, 11C9 = (10*11)/(1*2),

or, 11C9 = 5*11 = 55.

Thus, the softball manager can create 55 9-player starting lineups from 11 players of the same ability using combinations.

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Answer:

not a complete question..

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Pithagaren theorem 6²+8²=c²

36+64=c²

100=c² (then do the inverse)

√100=c

10=c

Answer:

y= -2x +39

Step-by-step explanation:

y= mx+b

m is the slope which is given -2

since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(

y - 15 = -2(x-12)

simplify

y-15= -2x +24

y= -2x + 39

Step-by-step explanation:

P and Q can do the whole work in 12 hours.

so, in 1 hour they can do 1/12.

P and R can do in 1 hour 1/15.

Q and R can do in 1 hour 1/20.

mathematically that looks like

P + Q = 1/12

P + R = 1/15

Q + R = 1/20

P + Q + R = 1/x

together they can do 1/x of the work in 1 hour.

it will take them x hours, if all 3 worked together.

from the first equation we get

P = 1/12 - Q

that gives us in the second equation

1/12 - Q + R = 1/15

R = 1/15 - 1/12 + Q = 4/60 - 5/60 + Q = Q - 1/60

but from the 3rd equation we get also

R = 1/20 - Q

so,

Q - 1/60 = 1/20 - Q

2Q = 1/20 + 1/60 = 3/60 + 1/60 = 4/60

Q = 2/60 = 1/30

R = Q - 1/60 = 2/60 - 1/60 = 1/60

P = 1/12 - Q = 1/12 - 2/60 = 5/60 - 2/60 = 3/60 = 1/20

so, we get for the sum :

P + Q + R = 3/60 + 2/60 + 1/60 = 6/60 = 1/10

that means in 1 hour they can do together 1/10 of the work.

so, together they will need 10 hours to paint the fence.

Answer:\(- \frac{5}{12}\)

Step-by-step explanation:

https://www.symbolab.com/

Answer:

Okay so you are going to get -5/12

Step-by-step explanation:

what you are going to do first is look at your signs the plus and minus signs are there to try and mix you up. What you are doing is subtracting all three of these fractions... Okay?

3/4 - 1/2 - 2/3

What you need to do is turn 1/2 into 1/4 because when adding or subtracting fractions you need to have the same denominator.

Subtract:

3/4 - 2/4 = 1/4

Now you are going to have to multiply the tops and the bottom of 2/3 by four (you should get 8/12) and multiply 1/4 (top and bottom) by three (you should get 3/12). This allows you to subtract 2/3 and 1/4 to get a product of 5/12. You can not simplify this fraction any further so you have your answer!

-5/12

*EDIT

Don't forget the minus sign.

Answer:

x = 7, x = 5

Step-by-step explanation:

\(\frac{3x+3}{8}\) = 2x - 11 ( multiply both sides by 8 to clear the fraction )

3x + 3 = 16x - 88 ( subtract 3x from both sides )

3 = 13x - 88 ( add 88 to both sides )

91 = 13x ( divide both sides by 13 )

7 = x

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

\(\frac{4x-6}{7}\) = 2 ( multiply both sides by 7 )

4x - 6 = 14 ( add 6 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

3x + 3 / 8 = 2x - 11

Multiply both sides by 8

8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )

3x + 3 = 16x - 88

Add both sides 88

3x + 3 + 88 = 16x - 88 + 88

3x + 91 = 16x

Subtract both sides 3x

3x - 3x + 91 = 16x - 3x

91 = 13x

Divide both sides by 13

91 ÷ 13 = 13x ÷ 13

7 = x

x = 7

_________________________________

4x - 6 / 7 = 2

Multiply both sides by 7

( 4x - 6 / 7 ) × 7 = 2 × 7

4x - 6 = 14

Add both sides 6

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides by 4

4x ÷ 4 = 20 ÷ 4

x = 5

The interval on which the function f(x) = x^4 - 8x^2 + 9 is increasing can be expressed in interval notation as (-∞, -2) ∪ (2, ∞). The interval on which the function is decreasing can be expressed as (-2, 2).

To determine the intervals of increasing and decreasing, we need to examine the derivative of the function. Taking the derivative of f(x) with respect to x gives us f'(x) = 4x^3 - 16x. To find the intervals of increasing and decreasing, we need to analyze the sign of the derivative. The derivative is positive when x < -2 and x > 2, indicating an increasing function. The derivative is negative when -2 < x < 2, indicating a decreasing function.

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Answer:

90°

Step-by-step explanation:

a square in the corner of an angle always indicates 90° because each corner of a square is also 90°

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

14. 6

15. 6

Step-by-step explanation:

Answer:

i think you did it correctly

x+10y

3x+2y+(-2x)+8y

First of all you cannot substitute x with y, so what u do u make the numbers with the same letters they have,and I put -2x because + &amp; - equals to -(minus) :-

3x-2x+2y+8y= x+10y

I don't add 1 to x coze when x alone stands for 1, I added +10y because both the y equations had + they were positive so I add a +.

Answer:

37.50°

Step-by-step explanation:

The sum of both sides of an angle is 180°.

180° - 142.5° = 37.50°

Answer:

c

Step-by-step explanation:

the base part is 20k and so you only have 2 answers left and you see the numbers are going up in value so it cant be lower than 1

Answer:

C

Step-by-step explanation:

I just took the test. Also, if you don't believe me, take a set of x and y values from the table and input them into the equation. :D (remember to round up)

The graph for the linear equation y=24x, will be a straight line having coordinate (1,24) i.e. B.

What is a linear equation, exactly?

A linear equation is a first-degree algebraic equation in which each term is either a constant or the product of a constant and a single variable (degree 1). A linear equation is stated as y = mx + b, where y is the dependent variable, x is the independent variable, m is the line's slope, and b= y-intercept .

A linear equation's graph is a straight line. The line's slope decides how steep it is, and the y-intercept indicates where the line crosses the y-axis. Linear equations are used to model relationships between variables that are directly proportional to each other, such as distance and time, or cost and quantity.

Now,

Given equation is y=24x

then for  x,    y is

              1,    24

              2,   48

              3,    72

              4,     96

Hence, the graph will be as represented in option 2.

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Using the conversion formulas, we can discover that 100,000 pesos are equal to 5389.09 USD.

Multiplication factors are typically employed for converting measurements of a given amount between multiple units.

These variables alter the measured quantity's value without altering its effects.

A conversion factor is a quantity that is multiplied or divided by two different sets of units.

If a conversion is required, it needs to be done with the right conversion factor to providing an equivalent value.

For instance, 12 inches equals one foot when converting between inches and feet.

Now, we are aware that:

1 pesos = 0.054 USD

Similarly, calculate 100,000 pesos as follows:

100,000 * 0.054

100,000 pesos = 5389.09 USD

Therefore, using the conversion formulas, we can discover that 100,000 pesos are equal to 5389.09 USD.

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