Determine whether the statement below is true or false. Justify the answer. An orthogonal matrix is invertible. Choose the correct answer below. A. The statement is false. Only nonzero orthogonal matrices are invertible. B. The statement is false. Only orthogonal matrices with orthonormal rows are invertible. C. The statement is true. An orthogonal matrix is a square invertible matrix U such that . D. The statement is true. An orthogonal matrix is a square invertible matrix U such that

Answers

Answer 1
I wish I could help you but I doing this so I can ask sum
Answer 2

Answer:

not so sure about this one


Related Questions

Find the measure of the missing angle.

Answers

Answer:

you have a 90 degree angle and to find your answer subtract 90-63=27.

Step-by-step explanation:

Write the number 0.464646464646 as a fraction let x=

Answers

Answer:

what is x?

Step-by-step explanation:

Solve the rational equation x over 4 equals x squared over quantity 3 times x plus 3 and check for extraneous solutions.

x = 1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution
x = 0 and x = 1
x = 0 and x = −1

Answers

Answer:

x is -9 is an extraneous solution

Step-by-step explanation:

Given the expression

x/4 = x²/3(x+3)

We are to find the value of x

Cross multiply

3x(x+3) = 4x²

3x²+9x = 4x²

3x²-4x² = 9x

-x² = 9x

-x = 9

x = -9

Hence the value of x is -9 is an extraneous solution

If the total value of the coins is 30¢, what is the missing coin?

Answers

Answer:

$70

Step-by-step explanation:

Which of these is the best source of information about a health product?

Answers

Answer:

is there something suggested?

please help can't figure it out...
Match the term to its definition.
1. every two weeks.
2. a time period in which income is earned.
3. a payment based on a time period.
4. twice a month.
5. a payment based on actual working time or actual production.

biweekly
pay period
wage
salary
semimonthly​

Answers

Answer:

1. biweekly

2. pay period

3. salary

4. semimonthly

5. wage

Answer:

biweekly- every two weeks

pay period- a time period in which income us earned

wage- a payment based on actual working time or actual production

salary- a payment based on time period

semimonthly- twice a month

Step-by-step explanation:

What two points are contained in the graph of y = log9 (x)?
O (1,0) and (9, 1)
O(0,1) and (1, 9)
O (1,0) and (9, 0)
O (1,0) and (9, 9)

Answers

Answer:

the first choice

Step-by-step explanation:

(1,0) and (9,1)

What is graph of a function?

The graph of a function f is the set of all points (x,f(x)). Any point on the graph satisfy the equation of the graph. To check whether a point lie on a graph we need to put the x value and y value of the point to the equation of the graph and check the LHS and RHS . If LHS is equal to RHS , then this point lie on the graph.

The given equation of graph is y=log₉(x)            ...........(i)

Now we check whether the points (1,0) and (9, 1) lie on (i).

Putting both the points on the LHS and RHS of (i) we get

For point (1,0) , LHS = 0 and RHS = log₉(1)=0

Therefore LHS=RHS for the point (1,0).

For point (9,1), LHS= 1 and RHS= log₉(9)=1

Therefore  LHS=RHS for the point  (9,1).

Therefore (1,0) and (9,1) lie on graph of equation (i).

Check whether the points (0,1) and (1, 9) lie on (i).

Putting both the points on the LHS and RHS of (i) we get

For point (0,1), LHS=1 and RHS=log₉(0) is undefined

Therefore LHS≠RHS for the point (0,1).

For point (1,9), LHS= 9 and RHS= log₉(1)=0.

Therefore LHS≠RHS for the point (1,9).

Therefore (0,1) and (1,9) does not lie on graph of equation (i).

Check whether the points (1,0) and (9,0) lie on (i).

Putting both the points on the LHS and RHS of (i) we get

For point (1,0), LHS=0 and RHS=log₉(1)=0.

Therefore LHS=RHS for the point (1,0).

For point (9,0), LHS= 0 and RHS= log₉(9)=1.

Therefore LHS≠RHS for the point (9,0).

Therefore (1,0) lie on (i) but 9,0) does not lie on graph of equation (i).

Check whether the points (1,0) and (9,9) lie on (i).

Putting both the points on the LHS and RHS of (i) we get

For point (1,0), LHS=0 and RHS=log₉(1)=0

Therefore LHS=RHS for the point (1,0).

For point (9,9), LHS= 9 and RHS= log₉(9)=1.

Therefore, LHS≠RHS for point(9,9).

Therefore (1,0) lie on (i) but 9,9) does not lie on graph of equation (i)

Hence, the points (1,0) and (9,1) lie on the graph of y=log₉(x).

To learn more about graph click here:

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2. The Youngs decided to book the room at the price that Mrs. Young was given, $1879, because it included breakfast for both of them for the entire stay. The travel agent could not match that price. At the end of the trip, Mr. Young received a bill showing a pre-tax amount of $1879. The tax is 8.5%. When the Youngs went to check out, they told the front desk that the refrigerator in the room had not worked during the majority of their time there. The hotel decided to give them a 5% discount off the pre-tax amount. Mr. Young says the new total will be $1944.77. He shows Mrs. Young how he found the new total.
Since we have to add 8.5% tax and subtract 5% for the discount, this means we will add 3.5% in the end.
8.5 − 5 = 3.5
Therefore, we just need to multiply the cost of the room by 3.5% and add this number to the cost of the room to determine what we owe.
3.5% x 1879= 0.035 x 1879= 65.765, which rounds to $65.77.
Add $65.77 to the total $1879 to get $1944.77.
Explain why Mr. Young’s calculations are incorrect. What is the correct total? Show your work. Round your answers to the nearest cent.

Answers

Answer:

yes

Step-by-step explanation:

In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?

Answers

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

See attachment for triangle

The relationship between length x, length 24 and angle 30 is as follows:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this question;

[tex]Adjacent = x[/tex]

[tex]Hypotenuse= 24[/tex]

[tex]\theta = 30[/tex]

Substitute these values in the above expression,

[tex]\cos(30) = \frac{x}{24}[/tex]

Multiply through by 24

[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]

[tex]24 * \cos(30) = x[/tex]

Reorder:

[tex]x = 24 * \cos(30)[/tex]

[tex]x = 24 * 0.8660[/tex]

[tex]x = 20.784[/tex]

[tex]x=21[/tex] --- approximated

Simplify the expression.
4(-8x + 5) – (-33x – 26) = ______

Answers

Answer:

14+33x

Step-by-step explanation:

you have to break it up

4x(-3)+33x+26 MILTIPLY

-12+33x+26 CALCULATE

Solution is 14+33x

I HOPE THIS HELPS YOU

*****HELP ASAP WILL MARK BRAINLIEST****** Ignore if you don't know!!!! Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following

Answers

Answer:

x = 2

DG = 4

Step-by-step explanation:

The thing to know about the incenter of a triangle, is that the segments to each side are equidistant. In other words, they are identical lengths.

This means that ED = FD = GD.

Which means:

DE = DF

x^2 = 20 - 8x

So we need to solve for X. I would solve this using factoring:

Subtract 20 from both sides.

x^2−20=−8x

Add 8x to both sides.

x^2−20+8x=0

Rearrange the polynomial to put it in standard form. Place the terms in order from highest to lowest power.

x^2+8x−20=0

Factor the left hand side by grouping. First, the left hand side needs to be rewritten as x^2+ax+bx−20. To find a and b, set up a system to be solved.

a+b=8 ab=1(−20)=−20

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −20.

(−1,20) (−2,10) (−4,5)

Calculate the sum for each pair.

−1+20=19

−2+10=8

−4+5=1

The solution is the pair that gives sum 8.

a=−2 b=10

Rewrite x^2+8x−20 as (x^2−2x)+(10x−20).

(x^2−2x)+(10x−20)

Factor out x in the first and 10 in the second group.

x(x−2)+10(x−2)

Factor out common term x−2 by using distributive property.

(x−2)(x+10)

To find equation solutions, solve x−2=0 and x+10=0.

x = 2

x = −10

In this case, X is equal to 2 as the solution -10 doesn't make much sense given the context of the problem.

To find DG we just need to plug the solution back into one of the equations and solve:

20 - 8x

20 - 8(2)

20 - 16 = 4

DG = 4

Answer:

x=2

Step-by-step explanation:

You can drive 300 miles in 5 hours. At this rate, how long will it take you to drive 150 miles?

Answers

Answer:

2.5 hours

Step-by-step explanation:

The ratio - 300: 5 is the same as 60:1

150:x should equal 60:1

You divide 150 by 60 to get your answer

Answer:

2.5 hours

Step-by-step explanation:

Just divide 5 by 2 to get the same ratio! Hope this helps

There are eight nickels and five dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

Answers

dang I was hoping that it was going to be a fat stack of $100 bills anyways this is not a question it’s more of a statement

A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of 12 students using a Ti-84 calculator averaged 46.2 items identified, with a standard deviation of 9.99. Can we conclude that the mean number of times identified with the Ti-84 calculator exceeds that of the Ti-89 calculator by more than 1.80

Answers

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean     x = 31,5

Sample standard deviation   s₂  = 8,35

Sample size        n₂ = 11

Ti-84 Calculator

Sample mean     y = 46,2

Sample standard deviation   s₁  = 9,99

Sample size        n₁ = 12

t(s)  = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s)  = 12,9 / √(99,8/12) + (69,72/11)

t(s)  = 12,9 / √8,32 + 6,34

t(s)  = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis               H₀      y - x > 1,80

Altenative Hypothesis       Hₐ      y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c)   critical value for

t(c) α; n₁ +n₂-2            df = 12 +11 -2     df  = 21

If we choose  CI = 95 %    then  α = 5 %   α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

Shelly biked 21 miles in 4 hours what is shellys average speed per hour?

Answers

Answer:

The average speed per hour of Shelly is 5.25 minutes.

Step-by-step explanation:

We can do proportion to solve this.

[tex] \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25[/tex]

How many 3/2 are in 10

Answers

Answer:

not sure,but i will tell you when i figure it out

Step-by-step explanation:

F(x)=3x^2-10x+4, find f(-4)

Answers

Answer:

substitute -4 for x

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The value of the function when the value of x is -4 is 92.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that F(x)=3x²-10x+4, therefore, the value of the function can be calculated by substituting the value of x as -4.

Therefore, the value of the function when the value of x is -4  can be calculated as shown below,

F(x) = 3x² - 10x + 4

F(-4) = 3(-4)² - 10(-4) + 4

        = 3(16)  + 40 + 4

        = 48 + 40 + 4

        = 92

Hence, the value of the function when the value of x is -4 is 92.

Learn more about Function here:

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Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answers

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectangle by 2 units.

Image_8672

Which statement describes how the area of the rectangle will change?

Answers

Step-by-step explanation:

The length of a rectangle, l = 3 units

The breadth of a rectangle, b = 4 units

Nancy needs to increase both the length and the width of the rectangle by 2 units.

The area of a rectangle is given by

A = length(l) × breadth(b)

Here,

A = 3 × 4

= 12 unit²

If both length and width of the rectangle increase by 2 units,

New length = (4+2) = 6 units

New width = (3+2) = 5 units

New area = 6 × 5 = 30 unit²

Hence, new area becomes 30 unit².

What is the slope of (-3,-5)
(-6.-11)

Answers

Answer:3

Step-by-step explanation:

Use equation for slopes: y1- y2/ x1_ x2=

-11-(-5)/-3-(-6)=3

Extra points and brainliest

Caroline spent $56.32 on groceries after using coupons and store discounts. Without the coupons and store discounts, the groceries would have cost $64.00. What is the total discount Caroline received at the grocery store?

A. 8%

B. 14%

C. 9%

D. 12%

Answers

Answer:

D. 12%

Step-by-step explanation:

64-56.32= 7.68

(7.68÷64)×100= 12%

hope this helps! please mark me brainliest..

have a good day ahead

Answer:

D. 12%

Step-by-step explanation:

1. Find the amount of money Caroline saved

Original - spent

Subsitute in the given values,

64 - 56.32 = 7.68

2. Set up a proportion

A proportion is

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

Substitute in the values;

[tex]\frac{7.68}{64}=\frac{percent}{100}[/tex]

Cross products;

(7.68)(100) = (64)(percent)

768 = 64 * percent

Inverse operations;

768 = 64 percent

/64      /64

12 = percent

Caroline had a 12% discount.

Which theorem shows QMP=RNP?
A. ASA
B. AAS
C. SAS
D.none of the above

Answers

Answer: i believe it’s A

Step-by-step explanation:

By ASA criteria, ΔQMP is congruent to ΔRNP.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a figure as shown in the image.

In ΔQMP and ΔRNP -

∠QPM = ∠NPR {Vertically opposite angles}

QM = NR {Given}

∠MQP = ∠NRP {Alternate interior angles}

So, by ASA criteria, ΔQMP is congruent to ΔRNP.

Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.

To solve more questions on triangles, visit the link below-

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is 12 : 8 and 18 : 12 equivalent ratios?

Answers

Answer:

Yes.

Step-by-step explanation:

Because 12:8=12/8=3/2.

And 18:12=18/12=3/2.

No they are not equivalent equations.
24:16 and 6:4 could be though

Two pounds of dried cranberries cost $5.04, 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $17.64. What equation gives the total cost y of x pounds of dried cranberries?

Answers

Answer:

y = 2.52x

y = cost, x = pounds of cranberries.

each pound costs 2.52

Step-by-step explanation:

5.04/2 = 2.52

p(x)=2x3-3x2+14x÷15 and why?​

Answers

Answer:

I think you have not written the full question

halp meer............​

Answers

Answer:

D

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.

20 points

Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14
miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be
at the same point on the trail?
If Abel's journey is represented by the equation d = 14t, where d represents the total distance and t represents time
in hours, what equation represents Neal's journey?

Answers

Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14 miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be at the same point on the trail?

If Abel’s journey is represented by the equation d = 14t, where d represents the total distance and t represents time in hours, what equation represents Neal’s journey?

d =  11t + 6

11 and 6 are your answers

Please mark Brainliest

Answer:

11 and 6 are correct

Step-by-step explanation:

Which algebraic representation of a transformation on a coordinate grid does not preserve congruence A (x,y)-(x+6,y+6 .B(x,y)-(-x,y)C(x,y)-(6x,6y)D(x,y)-(-y,x)

Answers

Answer:

It’s A

Step-by-step explanation:

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=

Answers

Answer:

The values are:

[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]

Step-by-step explanation:

Given:

P = (x₁, y₁, z₁) = (1, 2, b)   Q =  (x₂, y₂, z₂) = (c, -7, 4)  m = R = (x, y, z) = (-3, a, -1)

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), som = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

[tex]1+c = -6[/tex]

[tex]c = -6 - 1[/tex]

[tex]c = -7[/tex]

Determining 'a'

a = (2+(-7)) / 2

[tex]2a = 2-7[/tex]

[tex]2a = -5[/tex]

[tex]a = -5/2[/tex]

Determining 'b'

-1 = (b+4) / 2

[tex]-2 = b+4[/tex]

[tex]b = -2-4[/tex]

[tex]b = -6[/tex]

Therefore, the values are:

[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]

25/18 as a mixed number



Plsss help me

Answers

Step-by-step explanation:

7

1 ---

18

hope it helps !

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