Determine which of the following sets of vectors form an orthonormal basis for R². A. {[3/5,4/5]ᵀ,[5/13,12/13]ᵀ}. B. {[1,0]ᵀ,[0,1]ᵀ}. C. {[1,-1]ᵀ,[1,1]ᵀ}. D. {[ √3 /2,1/2]ᵀ,[-1/2, √3/2]ᵀ}.

Answer:

7 7/8 is my answer

Step-by-step explanation:

All you need to do is turn you mixed numbers into improper fractions 4 1/2 as an improper fraction is 9/2 and 1 3/4 as an improper fraction is 7/4. Then, you would mulitply them which will give you 63/8. After that, you would divide 63 by 8 which is 7 is you is your answer but you also have 7 as a remainder, which is good. That would be your numerator and the other 7 would be your mixed number. The 8 we were just talking about, would stay as your numerator. So, your answer is 7 7/8.  

Hope that helps!!

The volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

What is volume?

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.

The formula to calculate the volume of the cube is given by:

Volume = \(a^{3}\), where a is the length of its sides or edges

Length of solid wooden cube= \(\frac{4}{5} cm\)

Length of smaller wooden cube= \(\frac{1}{3} cm\)

Volume of the large cube = \((\frac{4}{3} )^{3}\)

Volume of the large cube = \(\frac{64}{125} cm^{3}\)

Volume of the small cube = \(\frac{1}{5} cm^{3}\)

Volume of the small cube = \(\frac{1}{125} cm^{3}\)

Volume of block after cutting out the smaller cubes is

                = \(\frac{64}{125} -\frac{(8)(1)}{125}\)

                = \(\frac{64-8}{125}\)

                =\(\frac{56}{125}\)\(cm^{3}\)

Hence, the volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

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The probability that it is raining and the flight is delayed is equal to the probability of it raining multiplied by the probability of the flight being delayed.

Therefore, the probability that it is raining and the flight is delayed is 0.07 * 0.16 = 0.0112. Rounded to the nearest thousandth, this is 0.011.

Answer: 10+12x=58

Step-by-step explanation:

The equation would be 10+12x=58, where x is the amount of additional hours babysitting besides the first hour.

To solve: move terms to one side (subtract 10) so you'd get 12x=48

The answer to this equation would be x=4 (you divide by 12)

To check if correct: plug in 4, to get 10+12(4)=58 which is 10+48=58 which gets 58=58

So the time worked was a total of 5 hours since you have to add on the first hour, but the solution to your equation represents just the amount of additional hours worked besides the first hour.

Answer:

\(E(x) = 4.56\) --- Mean

\(s^2 = 1.0944\) --- Variance

\(s = 1.0461\) --- Standard Deviation

Step-by-step explanation:

See Comment for missing details

Given

\(p = 0.76\) --- proportion

\(n = 6\) -- sample

Solving (a): The mean; E(x)

This is calculated as:

\(E(x) = n * p\)

Substitute values for n and p

\(E(x) = 6 * 0.76\)

\(E(x) = 4.56\)

Solving (b): The variance; s^2

This is calculated as:

\(s^2 = n*p*(1-p)\)

Substitute values for n and p

\(s^2 = 6 * 0.76 * (1-0.76)\)

\(s^2 = 6 * 0.76 * 0.24\)

\(s^2 = 1.0944\)

Solving (c): The standard deviation; s

This is calculated as:

\(s = \sqrt{s^2\)

Substitute value for s^2

\(s = \sqrt{1.0944\)

\(s = 1.0461\)

Answer:

V = 1046.9

Step-by-step explanation:

The equation for volume is (4/3)pi r^3

substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3

Answer:

\( y = 8 \)

Step-by-step explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, \( y - y_1 = m(x - x_1) \) and also in slope-intercept form, \( y = mx + b \).

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in \( y - y_1 = m(x - x_1) \).

Thus:

\( y - 8 = 0(x - (-2)) \)

\( y - 8 = 0 \)

Rewrite in slope-intercept form

\( y - 8 + 8 = 0 + 8 \) (addition property of equality)

\( y = 8 \)

He has eaten \(\frac{5}{8}\) pizza altogether.The total pieces of pizza was 8.Marco ate 3 for lunch and 2 for dinner.So, he ate 5 pieces of pizza out of 8.

What is fraction?

A fraction is a numerical value that is a part of whole number.In this numerator divided by denominator .In simple term both are integers.The word fraction means to break.

there are many types of fraction.Proper fraction, improper fraction,mixed fraction,whole fraction, like fraction, unlike fraction and unit fraction.

Total pieces of pizza =8

Marco ate for lunch =3

He ate for dinner =2

Total he ate =3+2

                     =5

Now remaining pieces of pizza=8-5

                       =3

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Answer:

5/8

Step-by-step explanation:

Answer:

The answer is 0 .... solution is X+1 the REMAINDER IS 0

Step-by-step explanation:

The remainder when (x³ + 1) is divided by (x² - x + 1) is 0.

The correct option is D.

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

We can use polynomial long division to find the remainder of (x³ + 1) divided by (x² - x + 1):

                 x + 1

                 -------------

x² - x + 1 | x³ + 0x² + 0x + 1

              - (x³ - x² + x)

               ---------------

                      x² - x + 1

                   - (x² - x + 1)

                      -------------

                      0

Therefore, the remainder when (x³ + 1) is divided by (x² - x + 1) is 0.

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Answer: 65% of 200 is 130.

Step-by-step explanation:

Answer:

He got 130 pieces this year

Step-by-step explanation:

65% of 100 is 65

100x2=200

65x2=130

So, 65% of 200 is 130

Answer:

jdiejrkduebrhfjdidudjdidudheisuydudud

Step-by-step explanation:

ieejknhsjd

dhsjeuedieiwjwuejxofi 36

Answer:

A

Step-by-step explanation:

If angle a is less then 90 then it’s acute

Answer:

3) 83.7 cubic in

Step-by-step explanation:

Volume = 1/3×πr^2h

Volume = (1×3.14×4×4×5)÷3

Volume = 251.2÷3

Volume = 83.7 cubic in

NOW PLZZ MARK ME AS BRAINLIEST

Answer:

c 83.7

Step-by-step explanation:

did test

1.8 turns must an ideal solenoid should have if it is to generate a magnetic field of 1.5 mT when a current of 1.0 A passes through it

To calculate the number of turns required for an ideal solenoid, we can use the formula for the magnetic field inside a solenoid: B = μ₀ * n * I, where B is the magnetic field, μ₀ is the permeability of free space (constant), n is the number of turns per unit length, and I is the current.

Rearranging the formula, we have n = B / (μ₀ * I).

Given B = 1.5 mT (or 1.5 x 10⁻³ T) and I = 1.0 A, and knowing that μ₀ is a constant, we can substitute these values into the formula to find n.

n = (1.5 x 10⁻³) / (4π x 10⁻⁷ * 1.0) ≈ 1.19 x 10⁴ turns/m.

Since the solenoid is 10 cm (0.1 m) long, we can multiply n by the length to find the total number of turns:

Total turns = (1.19 x 10⁴ turns/m) * 0.1 m ≈ 1.19 x 10³ turns.

Rounding to the nearest whole number, the closest option is (b) 1.8.

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You get the "Array indices must be positive integers or logical values" error when using the "angle" function because you are trying to use a non-numeric or non-logical value as an index.

The "angle" function in MATLAB is used to find the phase angle of a complex number. When you are trying to use the function, you are probably passing in a variable or expression that is not a numeric or logical value.

In MATLAB, array indices must be positive integers or logical values. When you try to use a non-numeric or non-logical value as an index, you will get the "Array indices must be positive integers or logical values" error.

This means that you need to make sure that the variable or expression you are passing into the "angle" function is a numeric or logical value before using it as an index.

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Complete question:

Why do I get "Array indices must be positive integers or logical values" error when using "angle" function?

Answer:

yes

Step-by-step explanation:

Based on the slope of -1/2, we have:

   y = -1/2 x + b

Substitute in (6,-5), we have:

  -5 = -1/2 (6) + b

We can solve this for b:

  -5 = -3 + b

  -2 = b

Now we have the equation:

  y = -1/2 x - 2

Answer:

2

Step-by-step explanation:

Answer:

2 x 2 = 4 + 4 = 8

the number is 2

Answer:

(0, 5), (0, 1), and (3, 1).

Step-by-step explanation:

If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.

Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).

Hope this helps!

From the given questions data the relation B and relation C is not a function.

What is the function?

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relationship to be a function, each input can only be associated with one output.

Using this definition, we can determine which of the given relations is not a function by checking whether each input is associated with exactly one output.

A. The inputs in relation A are 5, -2, 4, and -6. Each of these inputs is associated with exactly one output (4, 2, 1, and 2, respectively). Therefore, relation A is a function.

B. The inputs in relation B are -6, 4, -2, and 5. However, both -6 and 4 are associated with the output 4, so they violate the requirement that each input can only be associated with one output. Therefore, relation B is not a function.

C. The inputs in relation C are 4, -2, 4, and -6. The input 4 is associated with two different outputs (4 and 1), so relation C is not a function.

D. The inputs in relation D are -2, 4, 5, and -6. Each of these inputs is associated with exactly one output (4, 2, 1, and 5, respectively). Therefore, relation D is a function.

Therefore, the answer is relation B and relation C is not a function.

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Answer: 55 for answer a   for b it is 101.25

Step-by-step explanation:

\(\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{0}}}\implies \cfrac{-5}{-2}\implies \cfrac{5}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{5}{2}x\)

The sum of the 3rd cube number and the 4th cube number will be 91.

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The sum of the 3rd cube number and the 4th cube number will be:-

SUM = 3³ + 4 ³

SUM = 27  +   64

Sum = 91

Therefore the sum of the 3rd cube number and the 4th cube number will be 91.

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The image of the triangle RST after the rotation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The triangle RST

Where, we have

R = (-2, 1)

S = (1, 3)

T = (-1. 7)

The rule of the transformation is given as

(x, y) = (y. -x)

This means that we negate the x and y coordinates and then swap them

So, we have

R' = (1, 2)

S' = (3, -1)

T' = (7, 1)

Next, we plot the graph of the RST after the rotation

See attachment

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5 cups------128 oz

1 cup--------128/5 oz

to mix one cup of wallpaper paste we will need to add 25.6 oz of water

Answer:

21

Step-by-step explanation:

since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .

Therefore,x +13=34

x=34 -13

x=21(d)