Hi mate!
Please check my attached image for the answer with explanation.
Hope it helps...
Given that u =< 2,12 >, and z =< -7,5 >
If w = u + z, what is the value of || w ||? (answer should be accurate to 3 decimal places
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Could someone help me please?
Answer:
>
Step-by-step explanation:
|-4| = 4
-|4| = -4
Breaking down this problem above, we know the absolute value of 4 is 4. Multiply that by -1, you get -4
Now, plugging in these answers, we have...
4 ___ -4
4 is greater than -4, so you put >
if something is 34 mins how many times can it play in 7 hours
Answer:
12
Step-by-step explanation:
my boys said so, and I agree
(7*60)/34
5/7 multiply by 8/9 then simplest form
Answer:
0.6 or 40/1
Step-by-step explanation:
Oki 5/7 x 8/9 = 40/63 = 0.63 Do you mean like this way or the other ?
5/7 x 9 = 45/63 and 8/9 x 7 = 56/63 x 45\63 = 2520\63 = 40/1
Hope that this will help you.
Question shown in image
Answer:
∠e and ∠a
Step-by-step explanation:
∠d is congruent to ∠e by the rule Corresponding Angles.Therefore, ∠e is congruent to ∠a by the rule Vertical Angles.This means that ∠d is congruent to ∠a by the rule Alternate Interior Angles.-Chetan K
Answer:
The answers are 2 and 4.A certain country has 130.41 million acres of forest. Every year, the country loses 1.61 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 70.84 million acres of forest left? (Use an equation to solve this problem.)
After_______ years, this country would have 70.84 million acres left
Let years be x
[tex]\\ \tt\hookrightarrow 130.41-1.61x=70.84[/tex]
[tex]\\ \tt\hookrightarrow 1.61x=130.41-70.84[/tex]
[tex]\\ \tt\hookrightarrow 1.61x=59.57[/tex]
[tex]\\ \tt\hookrightarrow x=59.57/1.61[/tex]
[tex]\\ \tt\hookrightarrow x=37years[/tex]
twice a number a is at most 3
Answer:
it could be 1.5 or 1
Step-by-step explanation:
because 1.5 times 2 is 3 and 1 times 2 equals 2
please mark brainliest if it helped
Answer:
No, it can exceed 3
Step-by-step explanation:
the variable could be anything from 600 to 600 million and when you double it's only going to get bigger.
I need help with this math
Answer:
50 i hope your helpful
......
Answer:
it is 50
Step-by-step explanation:
i really hope this helped bestie!
Joe and Cody each improved their yards by planting hostas and shrubs. They bought their
supplies from the same store. Joe spent $64 on 6 hostas and 2 shrubs. Cody spent $54 on 5
hostas and 2 shrubs. Find the cost of one hosta and the cost of one shrub.
Answer:
10.8 on hostas
Step-by-step explanation:
I don't know exact answer
anna is on a road trip. she uses 3/4 of a tank of gas every 9/2 hours. How many tanks of gas will anna use after 12 hours?
Answer:
Step-by-step explanation:
This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.
tanks of gas different tanks of gas
========== = ================
hours different hours.
initial tank of gas = 3/4 tank
initial hours = 9/2 = 4.5 hours
final tanks of gas = X
final time = 12 hours.
Solution
3/4 x
==== = ==============
4.5 12
Cross multiply
4.5x = 12*3/4 Combine the right
4.5x = 36/4 Simplify
4.5x = 9 Divide both sides by 4.5
x = 9/4.5
x = 2
So she will need 2 tankfuls.
Please answer by today, I'll give brainliest when I can. Help is appreciated!
Answer:
b = 16.5; 13; 9.5; 6; 2.5
Step-by-step explanation:
Subscribe the given information to get an Answer.
b = 39 / 2 - 3 = 16.5
b = 32 / 2 - 3 = 13
b = 25 / 2 - 3 = 9.5
b = 18 / 2 - 3 = 6
b = 11 / 2 - 3 = 2.5
Evan found two sticks for his turtle's aquarium. One stick was 3/4 of a foot long and the other was 10/12 of a foot long. Which stick was longer?
Write the next three terms of the arithmetic sequence.
Which expression represents the phrase "the quotient of 9 and 14"?
Answer:
the quotient of 9 and 14
= [tex]\frac{9}{14}[/tex]
Answer:
the answer is 9 upon 14 (⁹/14)
determine the value of a certain number which when multiplied by itself gives the same value as 567×63
Answer:
± 189
Step-by-step explanation:
let the number be x then multiplied by itself is x² , so
x² = 567 × 63 = 35721 ( take the square root of both sides )
x = ± [tex]\sqrt{35721}[/tex] = ± 189
The number can be 189 or - 189
The value of the certain number is mathematically given as
x=17860.5
Question Parameters:
Certain number which when multiplied by itself gives the same value as 567×63
Generally the equation for the statement is mathematically given as
x*x=567×63
Therefore
2x=567×63
x=17860.5
For more information on Arithmetic
https://brainly.com/question/22568180
b.) Shipping is free for all online orders over $70. Write an inequality to describe the amount of money you will need to spend to get free shipping.
Inequality:
write a rule to describe the number of pounds p(n) as a function of a number of tons n.
The relationship between p(n) and n is given by p(n) = 0.0005n
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Let p represent the weight in pounds and n represent the weight in tons.
1 pound = 0.0005 ton, hence:
p(n) = 0.0005n
The relationship between p(n) and n is given by p(n) = 0.0005n
Find out more on Equation at: https://brainly.com/question/13763238
Simplify (+3 points): -3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
Answer:
-4x - 17y + 12
Step-by-step explanation:
I combined like terms
-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
= -4x - 17y + 12
The border around a picture has the same width all the way around. The perimeter of the picture is 123 cm and the perimeter of the outside of the picture frame is 191 cm. Find an equation that can be used to find to find the width of the border around the picture?
Answer:
2x +2y= 123, or
8a +2x +2y= 191
Step-by-step explanation:
Perimeter of rectangle= 2(length) +2(width)
Let the length and the width of the picture be x and y respectively.
Perimeter of the picture= 2x +2y
2x +2y= 123 -----(1)
Let the width of the border be a.
Length of picture frame= a +x +a= 2a +x
Width of the picture frame= a +y +a= 2a +y
Outer perimeter of the frame= 191
2(2a +x) +2(2a +y)= 191
Expand:
4a +2x +4a +2y= 191
8a +2x +2y= 191 -----(2)
Substitute (1) into (2):
8a +123= 191
8a= 191 -123
8a= 68
a= 68 ÷8
a= 8.5 cm
Thus the width of the border is 8.5 cm.
10 + (8 - 4)2 ÷ 2
Anyone
Answer:
10 + (8 - 4)2 ÷ 2
= 14
Step-by-step explanation:
By using P.E.M.D.A.S you can get the answer you are looking for.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
In this situation you would do what's inside the parentheses, then divide, then multiply then add.
10 + (8 - 4)2 ÷ 2
10 + 4 × 1
10 + 4 = 14
55<35+10x
What is x less than
Hi!
55<35+10x
Move 35 to the left, using the opposite operation:
55-35<10x
20<10x
Divide both sides by 10:
2<x
Since 2 is greater than x, x is less than 2:
x<2 (Answer)
Hope it helps!
Enjoy your day!
~Misty~
find the indicated value from the diagram below.
Check the picture below.
We can conclude that -
y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
Given is a parallelogram ABCD.
Now, we can state that -
∠A = ∠C
(y + 10) = (2y - 40)
y + 10 = 2y - 40
y = 50
{Opposite angles are congruent}
(4x) + (2y - 40) = 180
4x = 180 - 60
4x = 120
x = 30
{Consecutive angles are supplementary}
Therefore, we can conclude that -
y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}To solve more questions on triangles and parallelogram, visit the link below -
brainly.com/question/12413243
#SPJ2
Help
How do you find the sum of the exterior angle measures of any convex polygon?
If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation:
How do I find the equation of a line?
Can i have an easy method for this pls tyy!
Answer:
Steps to find the equation of a line from two points:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Step-by-step explanation:
Well this is my way lol
mark brainliest if u want to cuz i need 5 more :)
Answer:
Step-by-step explanation:
You usually need to find the slope first.
When you have more than two points, you use the slope-intercept formula.
When you have one point and a slope, you use point-slope formula.
Hope this helps!
If Mr.Robert's had signed a 5-year contract with increase of 2.45% what will be his annual salary at the end of 5 years?
Answer:
Depends on the amount of the original salary
Step-by-step explanation:
but here is your equation
x(1.0245)^5
When x = 2, what is the value of the expression 5x^2 - 4?
[tex] \: \: [/tex]
[tex] \sf \: 5(2)^{2} - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 5(4) - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 20 - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 16[/tex]Hope It's Helps~The value of the expression, 5x^2 - 4, when x = 2 is: 16.
What is the the Value of an Expression?To find the value of an expression, plug in the given value of the variable and solve by simplifying.
Given the expression, 5x^2 - 4, when x = 2, we would have:
5(2)^2 - 4
5(4) - 4
20 - 4
= 16
Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.
Learn more about value of expression on:
https://brainly.com/question/625174
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends 46.3 feet.
She then travels directly up 33.4 feet.
Next, she descends a second time, 97.4 feet.
How many feet must she now rise to get back to sea level?
Answer:
one post id plenty!
Step-by-step explanation:
sorry if wrong
Is 5(1/5^3) = 5(5^3)?
A: yes both expressions r equal to 625
B:yes both expressions r equals to 1/25
C:no the first expression is equal to 1/25 and the second expression is equal to 625
D: no the first expression is equal to 625 and the second is equal to 1/25
Answer:
C:no the first expression is equal to 1/25 and the second expression is equal to 625
Step-by-step explanation:
if you do in the calculator it will give you 0.04(wich is ecual to 1/25)
and the second one is 5^3 (which is 125) *5 = 625
0-k= -4
What is k, explain
Hi!
I can help you with joy! :)
Let's solve this equation to find the value of k.
0-k=-4
-k=4-0
-k=4
Divide both sides by -1:
k=-4 (Answer)
I hope it helps!
Enjoy your day!
~Misty~
[tex]\bf{GracefulGirlies[/tex]
[tex]\bold{Heya~!}[/tex]
What is 0-k = -4 ?[tex]\underline{\large\huge{\mathfrak{Answer~:}}}}[/tex]
[tex]\sf{k~=~4}[/tex]
[tex]\huge{\boxed {\mathfrak{explanation:}}[/tex]
[tex]\sf{0~-~k~=~-4}[/tex]
[tex]\sf{0~-~k~=~-k}[/tex]
[tex]\sf{-k~=~-4}[/tex]
[tex]\sf{Divide~both~sides~by~-1}[/tex]
[tex]\sf{\frac{-k}{-1}~=~\frac{-4}{-1}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{k~=~4}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace ~
Round to the nearest tenth.
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
Recall the Law of Cosines
[tex]a^2=b^2+c^2-2bc\cdot cos(A)[/tex]
Identify angles and sides
[tex]m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6[/tex]
Solve for side "a"
[tex]a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2[/tex]
Therefore, the length of line segment BC is about 8.2 units
Answer:
the answer is 8.2 units
Step-by-step explanation:
wait wait wait change my mind change my mind ill take champ back you didnt say nothin bout it meanin brave