Determine whether the set of vectors is orthonormal. If the set is only​ orthogonal, normalize the vectors to produce an orthonormal set.Bold u 1 equals [Start 3 By 1 Matrix 1st Row 1st Column one third 2nd Row 1st Column one third 3rd Row 1st Column one third EndMatrix ]and Bold u 2 equals [Start 3 By 1 Matrix 1st Row 1st Column negative one half 2nd Row 1st Column 0 Subscript font size decreased by 6 Superscript font size decreased by 6 3rd Row 1st Column one half EndMatrix ]

Answer:

sinθ

Step-by-step explanation:

[tex]\sqrt{1-cos^{2}x }[/tex]

[tex]\sqrt{sin^{2}x }[/tex]

sinx

(replace x with theta)

Answer:

There would be

- 12 bags of 1/6-ounce rice.

- 6 bags of 1/3-ounce of rice.

- 4 bags of 1/2-ounce of rice.

-The line plot is presented in the attached image to this answer.

1) There are 22 bags that weigh at least 1/6 of an ounce.

2) There are 4 bags that weigh more than 1/3 of an ounce.

3) The combined total of the 1/2-ounce bags = 2 ounces.

4) The average weight of the bags = (3/11) of an ounce.

Step-by-step explanation:

Complete Question

Raine divides three 2-ounce bags of rice into smaller bags. The first bag is divided into bags weighing 1/6-ounce each, the second bag is divided into bags weighing 1/3-ounce each and the third bag is divided into bags weighing 1/2- ounce each. Find the number of 1/6, 1/3 and 1/2 bags and graph it in a line plot.

1) How many bags weigh at least 1/6 of an ounce?

2) How many bags are more than 1/3 of an ounce?

3) What is the combined total of the 1/2 ounce bags?

4) What is the average weight of each of the bags?

Solution

Let the number of 1/6-ounce, 1/3-ounce and 1/2-ounce bags be x, y and z respectively.

(1/6) × x = 2

x = 2 × 6 = 12 bags of 1/6-ounce rice.

(1/3) × y = 2

y = 2 × 3 = 6 bags of 1/3 ounce of rice.

(1/2) × z = 2

z = 2 × 2 = 4 bags of 1/2-ounce rice.

The line plot is presented in the attached image to this answer.

1) All of the bags weigh at least 1/6 of an ounce. Hence, the number of bags that weigh more than 1/6 of an ounce = 12 + 6 + 4 = 22 bags

2) The bags that weigh more than 1/3 of an ounce are the 1/2-ounce bags, and there are only 4 of them. Hence, 4 bags weigh more than 1/3 of an ounce.

3) Combined total of the 1/2 ounce bags

= 4 bags × (1/2-ounce per bag) = 2 ounces.

4) The average weight of the bags is given as the sum total of the weight of the bags divided by the number of bags.

Total weight of the bags = [12 × (1/6)] + [6 × (1/3)] + [4 × (1/2)] = 2 + 2 + 2 = 6 ounces.

Total Number of bags = 12 + 6 + 4 = 22 bags

Average weight of the bags = (6/22) = (3/11) ounce per bag.

Hope this Helps!!!

Step-by-step explanation:

right option

...............

Answer:

A

Step-by-step explanation:

The form for a parabola with vertex form is y=(x-h)^2+k, where h is the x coordinate and k is the y. Therefore, since the x coordinate of the graph is -2, the answer is A. Hope this helps!

Answer:

its A

hop this helps

Answer:

i think C

Step-by-step explanation:

NOT SURE THO :)

Answer:

point B is located at 6 on the number line

Step-by-step explanation:

u subtract 5 from 11

If the final weight is halved then the mass of the object will be 500,550 grams

1 kg of an object = 1000 grams

If an object weighs a quarter of a kilogram, then

New weight = 1/4(1000) = 250 grams

If  I add one-half of a kilogram to the object, then the new weight will be 750grams

If the final weight is halved then the mass of the object will be 500,550 grams

Learn more on measurement here: https://brainly.com/question/13893070

Answer:

12 %

Step-by-step explanation:

The fraction of men that are left handed is 3/25

Percent means out of 100, so get the fraction with a denominator of 100

3/25 *4/4 = 12/100

12 %

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

Each Shirt ≈ $2.49

Each Pair of Slacks ≈ $5.99

Each Sports Coat ≈ $7.99

Step-by-step explanation:

Mike took clothes to the cleaners three times last month.​

Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.

First, he brought 4 shirts and 1 pair of slacks and paid ​$15.95.

Mathematically,

4S + P = 15.95      eq. 1

Then he brought 7 ​shirts, 4 pairs of​ slacks, and 1 sports coat and paid ​$49.38.

Mathematically,

7S + 4P + C = 49.38      eq. 2

​Finally, he brought 3 shirts and 1 sports coat and paid ​$15.46.

Mathematically,

3S + C = 15.46      eq. 3

We are asked to find how much was he was charged for each​ shirt, each pair of​ slacks, and each sports​ coat.

4S + P + 0C = 15.95               eq. 1

7S + 4P + C = 49.38              eq. 2

3S + 0P + C = 15.46               eq. 3

We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.

Using online system of equations solver yields,

S ≈ $2.49

P ≈ $5.99

C ≈ $7.99

So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.

Answer:

growth

Step-by-step explanation:

Answer:

Perimetrul triunghiului ABC este egam cu 36 cm, iar AB = 15 cm si AC = 13 cm. Lungimea segmentului BC = cu...

Step-by-step explanation:

Answer: Porque no te merecen

Step-by-step explanation:

Answer:

Center = (10, 5)

Radius = 10

Step-by-step explanation:

Look at the picture

Answer:

Your rate of change is [tex]\frac{3}{2}[/tex].

Step-by-step explanation:

Well, all you have to do is subtract the points.

[tex]\frac{changeiny}{changeinx} \\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\frac{9-7.5}{6-5}\\\\\frac{1.5}{1}[/tex]

This is also know as the rate of change of [tex]\frac{3}{2}[/tex].

Answer:

$12.50

Step-by-step explanation:

(2,30*4)+3.30

9.20+3.30=12.50

Answer:

23.75

Step-by-step explanation:

95/4

23.75

Answer:

A≈9.75

Step-by-step explanation:

The side length can be found by getting the square root of 95.

Since all sides are the same on a square, this means that 9.75² gives us 95, which it does.

Hope this helps!

-MoCKEry

William can do 1/4 of the job every hour by himself.

Stephanie can do 1/6 of the job every hour by herself.

If they don't distract each other while working together, they can do (1/4 + 1/6) of the job every hour.

That's (3/12 + 2/12) = 5/12 job per hour working together.

The complete job will take them (12/5) hour .

That's 2-2/5 hours, or 2 hours 24 minutes.

They both can do the painting in 2hours 24 minutes by solving the fraction.

It is a combination of numerator and denominator. It is always in decimal

if solved properly.

William can do 1/4 of the job every hour himself. Stephanie can do 1/6 of the job every hour  herself,  they can do (1/4 + 1/6) of the job every hour.

That's (3/12 + 2/12) = 5/12 job per hour working together.

The complete job will take them (12/5) hour .

or 2 hours 24 minutes.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

Answer:

8%: $1554

21%: $2446

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex].

In this question:

Two earnings, that i am going to call A(8% per year) and B(21% per year).

Two principals, for A i am going to call P and for B it is the rest, so 4000 - P.

A:

One year, so [tex]t = 1[/tex]

8% interest, so [tex]r = 0.08[/tex]

Earnings A.

[tex]A = P*I*t[/tex]

[tex]A = 0.08P[/tex]

B:

21% interest, so [tex]r = 0.21[/tex]

Principal (4000 - P).

[tex]B = P*I*t[/tex]

[tex]B = 0.21*(4000 - P)[/tex]

You'd like to earn exactly $638 in interest each year.

This means that [tex]A + B = 638[/tex]

Then

[tex]B = 638 - A[/tex]

Now we have to solve the following system:

[tex]A = 0.08P[/tex]

[tex]638 - A = 0.21*(4000 - P)[/tex]

So, on the second equation:

[tex]A = 638 - 0.21*(4000 - P)[/tex]

Replacing on the first:

[tex]A = 0.08P[/tex]

[tex]638 - 0.21*(4000 - P) = 0.08P[/tex]

[tex]638 - 840 + 0.21P = 0.08P[/tex]

[tex]0.21P - 0.08P = 840 - 638[/tex]

[tex]0.13P = 202[/tex]

[tex]P = \frac{202}{0.13}[/tex]

[tex]P = 1553.8[/tex]

Rounding up to the nearest integer

P = 1554.

So on A, the 8% interest, you invest $1554.

On B, the 21% interest, you invest 4000 - 1554 = $2446.

Answer:

The y-intercept should be 3

Answer:

None of the inequalities are correct if p = 3.4

Step-by-step explanation:

Mathematical inequality is an order relation proposition existing between two algebraic expressions connected through the signs: unequal than ≠, greater than>, less than <, less than or equal to ≤, as well as greater than or equal to ≥, resulting in both expressions of different values. That is, an inequality is a relationship that exists between two quantities or expressions and, which indicates that they have different values.

To check an inequality, you must replace the inequality variable with the value of the solution.  In this case, being p=3.4, you must do it with each of the inequalities, as shown below:

A. 3p<10.2 ⇒ 3*3.4<10.2 ⇒ 10.2 <10.2  

This inequality is not true, because 10.2 is not less than 10.2, but they are equal.

B. 13.6<3.9p ⇒ 13.6<3.9*3.4 ⇒ 13.6<13.26  

This inequality is not true, because 13.6 is greater than 13.26 and not less as the inequality shows.

C. 5p>17.1 ⇒ 5*3.4 >17.1 ⇒ 17 > 17.1  

This inequality is not true, because 17 is less than 17.1 and not greater as the inequality shows.

D. 8.5> 2.5p ⇒ 8.5 >2.5*3.4 ⇒ 8.5 > 8.5

This inequality is not true, because 8.5 is not less than 8.5. These values ​​are the same.

None of the inequalities are correct if p = 3.4

The correct answer is C. By substituting the greatest number in each set for p, you can quickly tell which sets make the inequality false.

Answer:

a) [tex] p = 0.5[/tex]

b) [tex] \hat p= \frac{X}{n}= \frac{154}{329}= 0.468[/tex]

c) [tex]0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423[/tex]

[tex]0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513[/tex]

And the 90% confidence interval for the true proportion is given by (0.527;0.593).

Step-by-step explanation:

Part a

For this case we don't have any prior info given so then the probability assumed for this case is:

[tex] p = 0.5[/tex]

Part b

For this case the proportion of success is given by:

[tex] \hat p= \frac{X}{n}= \frac{154}{329}= 0.468[/tex]

Part c

The confidence interval for the true proportion would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 90% confidence interval the value of and , and the critical value would be given by:

[tex]z_{\alpha/2}=1.64[/tex]

The confidence interval is given by:

[tex]0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423[/tex]

[tex]0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513[/tex]

And the 90% confidence interval for the true proportion is given by (0.527;0.593).

Answer:

[tex] - 14[/tex]

Step-by-step explanation:

[tex] - 7 + 5 - 12 \\ ( - 7 + 5) - 12 \\ - 2 - 12 \\ = - 14[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

So the right answer is -14.

Look at the attached picture

Hope it will help you

Good luck on your assignment

The ratio of Reeta's age and Site's age is 3:5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be

Answer:

volume is 6.72

width is 1.6

Step-by-step explanation:

Answer:

length PQ = 8.9 m  

Step-by-step explanation:

The picture below completes the question you  asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.

Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.

Pythagoras theorem

c² = a² + b² Therefore,

c² = 4² + 8²

c² = 16 + 64

c² = 80

square root both sides

c = √80

c = 8.94427191

c ≈ 8.9 m

length PQ = 8.9 m  

Answer:

See I don't know the answer but I did another one like this if it doesn't help you can report it no problem

Step-by-step explanation:

There are 2 different ways you can solve this problem and you'll get the same answer.

To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.

Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.

One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.

1 foot = 12 inches

To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.

Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.

Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.

Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.

Good luck! I hope this helps!

Answer:

x=0, y=4

(0,4)

Step-by-step explanation:

y=x+4

y=2x+4

The directions say substitution not subtraction

Set the two equations equal to each other

x+4 = 2x+4

Subtract x from each side

x+4-x = 2x+4-x

4 = x+4

Subtract 4 from each side

4-4 =x+4-4

0 =x

Now find y

y = x+4

y = 0+4

y = 4

Answer:

(0, 4)

Step-by-step explanation:

Our two equations are:

y = x + 4

y = 2x + 4

We need to use substitution, so let's substitute x + 4 in for y in the second equation:

y = 2x + 4

x + 4 = 2x + 4

x = 0

Plug this value back into one of the equations to solve for y:

y = x + 4

y = 0 + 4 = 4

Thus, the answer is (0, 4).

Answer:

8+5=13

13+2=15

your answer is 15

You have to add : )

Step-by-step explanation:

Hope this helps : )

Answer:

Step-by-step explanation:

52units

Answer:

A

Step-by-step explanation:

In the attached file