Answer:
The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since B is not all zeros, then any solution to A0 can not be the trivial solution
Step-by-step explanation:
Firstly, have to define linear dependency to get a clear picture of what is to be done.
If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.
Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.
Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?
A. Z
B. X
C. W
D. Y
Answer:
If I had to guess... I think it would be Y
Step-by-step explanation:
The reason why I think its Y is because the line on the graph seems to go constant till it gets to the tip. As you can see the line is less slanted meaning that she is going slower. (If you know what I mean.. I tend to be bad at explaining things hehe..)
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.
b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.
(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).
The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?
Answer:
Hi There!
Your answer is:
Length = 116
Width = 56
Step-by-step explanation:
L= 4+ 2w
Width=w
perimeter formula
l+l+w+w= perimeter
Subsitute L for 4+2w
(4+2w)+(4+2w) + (w) + (w) = 344
8 +4w+w+w = 344
8+ 6w = 344
-8
6w = 336
/6
w= 56
PLUG BACK IN!
Length = 4+ 2w
Length = 4+ 2(56)
Length = 116
Width = 56
CHECK YOUR WORK
116+116+56+56= 344???
344 = 344 YES
HOPE THIS HELPS
The grap
The graph below represents the distance Manuel walks over several hours.
Which is an ordered pair on the line?
(2.5, 14)
(2.5, 14)
(1.25, 5)
(1.25, 5)
(2.25, 12)
(2.25, 12)
(1.5, 9)
Answer:
The answer is 1.5, 9
Step-by-step explanation:
If you can see the graph the speed increases
The ordered pair on the line (1.5, 9). The correct answer would be an option (D).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
The graph below represents the distance Manuel walks over several hours.
The first and second options are not accurate since the distance is measured in miles up to 10 miles, hence the options can't be correct
The correct answer is option D since the value at t = 1.5 is equal to 9 miles
Thus, the ordered pair is on the line (1.5, 9).
Hence, the correct answer is an option (D)
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The question seems to be incomplete the missing figure has been attached below.
Which expression is equivalent to -51 - (-60)?
Answer:
The answer is 9.
Step-by-step explanation:
I had the question on one of my quizzes.
Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?
Given:
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex].
To find:
The expression, which is equivalent to the given expression.
Solution:
We have,
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex]
[tex]=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}][/tex]
[tex]=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{1+\cos (x)}[/tex]
Therefore, the correct option is C.
Given question is incomplete; find the complete question in the attachment.
Simplified form of the given trigonometric expression will be represented by Option C.
Given expression is,
[tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )[/tex][tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}[/tex] [Since. [tex]\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}[/tex]]
[tex]=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}[/tex]
[tex]=\frac{1}{1+\text{cosx}}[/tex]
Therefore, Option C will be the correct option.
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6(1-4w)=-18
do the distributive property
Answer:
w=1
Step-by-step explanation:
6(1-4w)=-18
(6*1)-(6*4w)=-18
6-24w=-18
-24w=-24
w=1
Will u mark me brainliest plz!!!!???!!!
w=1
Step-by-step explanation:
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
3.) Find the domain and range for each of the following functions.
if a man pay #357 for a book,how much will he pay for 78 books?
Answer: 27,846
Step-by-step explanation: 357 x 78 = 27,846
Answer:
$27846
Step-by-step explanation:
One book cost = $357
So, for 78 books, it will be $357 * 78
=> $27846
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
What percent is equivalent to 1/25
Answer:
4%
Step-by-step explanation:
Step 1:
1/25 = 4/100 Convert Fraction
Step 2:
4/100 = 0.04 Divide by 100
Step 3:
0.04 = 4% Convert
Answer:
4%
Hope This Helps :)
I need help with #7 #11 #12 #13 and #14 please and ASAP
Answer:
54°
Step-by-step explanation:
Since m<2 + m<1 is equal to 180, we can set up the equation to find m<1.
plug in 126 as m<2, so we get
126 + m<1 = 180
-126 -126
m<1 = 54.
From this knowledge, we know that
7.) 54°
8.) 126°
9.) 54°
10.) 126°
11.) 54°
12.) 126°
13.) 54°
14.) 126°
The group of points {(0, 1), (0,5), (2, 6), (3, 3)}
is not a function, but the group of points {(1, 4),
(2, 7), (3, 1), (5, 7)} is a function. What do you
notice about the two groups of points? What do
you think it means to be a function?
Answer:
each x point should be mapped to a y point
Step-by-step explanation:
Determine x:
X
2
47°
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry
Answer:
9d2nxdc
Step-by-step explanation:
??????????
(a). Solve for x if 133x = 43 seven
(). Given that fix - 2x2 - 8x + 5 and g: x - x -2
(i). Calculate f(-3)
(ii). Find the values of x, such that f(x) = g(x)
Step-by-step explanation:
*Syntax Error*
just consult with your teacher
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
(2x + 25) y
(3x - 10)
solve to get the answers of the variables
Answer:
y = 65 degrees
Step-by-step explanation:
(this is what i remember from geometry at least so let me know if i got anything wrong)
2x+25 and 3x-10 are opposites which means they are equal to each other.
2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides
25 = x-20 to get the x value alone add 20 to both sides
45 = x
now you can plug in x to either equation to find out what their degree is
2(45)+25 = 115 degrees
and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y
180-115 = 65 degrees
Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,
(2x + 25) = (3x - 10)
2x + 25 = 3x - 10
25 + 10 = 3x - 2x
x = 35
Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,
(2x + 25)° + y° = 180°
2x + 25 + y = 180°
Substitute the value of x,
2(35) + 25 + y = 180
70 + 25 + y = 180
95 + y = 180
y = 85°
Hence, the value of the variables x and y are 35 and 85, respectively.
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the area of this figure is? sq meters
Answer:
The figure was not included in your question?
Find two consecutive whole numbers that 63 lies between.
Answer:
They are 62 and 64.
if h(t) = -3t + 6 + 7t, What is h(3)
Answer:
h(3) = 18
Step-by-step explanation:
Step 1: Define
h(t) = -3t + 6 + 7t
h(3) is x = 3
Step 2: Simplify
h(t) = 4t + 6
Step 3: Substitute and Evaluate
h(3) = 4(3) + 6
h(3) = 12 + 6
h(3) = 18
HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
Answer:
60
Step-by-step explanation:
$720 divided by $12 is 60.
I don't think I did this right.
Nope prolly not
What is the measure of ZA degrees?
Answer:
Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal
Therefore,
angle ABC = angle ACB
We are given that angle ACB is 30 degrees
Hence, angle ABC = 30 degrees
We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees
So, angle ABC + angle ACB + angle CAB = 180 degrees
replacing the variables with values we already know
30 + 30 + angle CAB = 180
angle CAB = 180 - 60
angle CAB = 120 degrees
Hence the measure of angle A is 120 degrees
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Answer:
[tex]y-1=-3(x+2)[/tex]
Step-by-step explanation:
The equation of the given line:
[tex]y-1=\frac{1}{3}(x+2)[/tex]
This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex]. Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]
how do i do this! pls help ASAP, and pls show work too!
Answer:
a = (g +b)/cx = (u +2)/2Step-by-step explanation:
Find the variable in the expression and see what has been done to it. Here, 'a' has been multiplied by c, and b has been subtracted from the product. Undo those operations in reverse order.
Undo the subtraction of b by adding b to both sides.
g +b = ca -b +b
g +b = ca . . . . . note b is no longer subtracted from the product
Undo the multiplication by dividing both sides by c.
(g +b)/c = (ca)/c
(g +b)/c = a
a = (g +b)/c
__
The second problem is worked exactly the same way.
u = 2x -2
u +2 = 2x . . . . . add 2 to both sides
(u +2)/2 = x . . . . divide both sides by 2
x = (u +2)/2
3x² + 2x + 2 + 4x² + 5 Simplify
Answer: 7x^2 + 2x + 7
Step-by-step explanation:
Combine likes terms that have alike variables and alike exponents.
(3x^2 + 4x^2) + (2x) + (2 + 5)
7x^2 + 2x + 7
What are the 4 terms for f(x)=7-2x
Answer:
f, x, 7, -2
Step-by-step explanation:
Solve 4x + 10-30
X<5
x>5
X<10
X>10
Answer:
0
Step-by-step explanation:
4x + 10 - 30
4 × 5 + 10 - 30
20 +10 - 30
30 - 30
0
a machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?
Answer:
80 machines
Step-by-step explanation:
If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).
80 machines gadgets are made every hour.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A factory makes 20 gadgets every 1/4 hour.
So, in an hour made = 20÷1/4 machines
=20×4
=80
i.e. If a machine makes 20 gadgets every fourth (1/4) of an hour,
it makes 80 machines every hour (20*4).
Hence, 80 machines gadgets are made every hour.
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