Part (a)
Lets say we had the two general vectors
u = (a,b)
v = (c,d)
The dot product is
u dot v = a*c + b*d
-------------------
Apply that rule to these specific vectors
u = (5, -2)
v = (0, 1)
So we get
u dot v = 5*0 + (-2)*1
u dot v = 0 - 2
u dot v = -2
Therefore,
(u dot v)*w = -2*(-1, -3)
(u dot v)*w = ( -2*(-1), -2(-3) )
(u dot v)*w = (2, 6)
Answer: (2, 6)
=============================================
Part (b)
u = (5, -2)
5u = 5*(5, -2)
5u = (5*5, 5*(-2))
5u = (25, -10)
5u dot v = (25, -10) dot (0,1)
5u dot v = 25*0 + (-10)*1
5u dot v = 0 - 10
5u dot v = -10
Answer: -10
which of the equations below has a slope of 1/4
Answer:
uh you didnt put the picture please put the picture i really want to help you:)
Step-by-step explanation:
Answer:
bra
Step-by-step explanation:
How many solutions does
-3n = -10 – 2n have
Answer:
1 solution
Step-by-step explanation:
Given
- 3n = - 10 - 2n ( add 2n to both sides )
- n = - 10 ( multiply both sides by - 1 )
n = 10
URGENT PLEASE!! I’ll give you brainliest! You just have to find x
Step-by-step explanation:
3(x+2)-(2x-1)=4(3-x)
3x+6-2x+1=12-4x
3x-2x+4x=12-6-1
5x=5
x=1
Answer:
x=1 2/5
Step-by-step explanation:
3x+6-2x-1=12-4x
x+5=12-4x
-5 -5
x=7-4x
+4x +4x
5x=7
/5 /5
x=7/5
x=1 2/5
The delivery charge and daily rate to lease a construction crane are listed below for two companies.
High Top Cranes charges $744 for delivery and $3,290 per day.
Big Lift Equipment charges $1,428 for delivery and $3,214 per day.
If Builder's Construction Company leases a crane for 11 days, which leasing company has a lower total cost?
Answer: Big Lift Equipment
Step-by-step explanation:
From the question,
High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:
= $744 + $3290(11)
= $744 + $36190
= $36934
Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:
= $1428 + $3214(11)
= $1428 + $35354
= $36782
Based on the calculations, Big Lift Equipment has a lower cost
For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?
The equation that can be used to find the maximum and minimum temperatures is
Answer:
For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.
Hope this helps! :D
Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
Answer:
1
Step-by-step explanation:
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
Here are some examples of scientific notation
Okay so how would you simplify 6/7 divided by 1/2 to show work?
Answer:
1 5/7
Step-by-step explanation:
well lets show you!!
6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1 5/7
Hope this helps ∞<3
Solve x2 + 32x = –255 by completing the square.
Question 8 options:
x = –17 and x = –15
x = –17 and x = 15
x = 15
No Real Solutions
Answer:
-15, -17
Step-by-step explanation:
x^2 + 32x = –255 move the -255 to the left
x^2 + 32x +255=0
What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32
(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17
x= -15, -17
UGHHHHHH HELPPP!!!!!!!! The sum of a number and 3 more than twice the number is less than 36. Find the number! ANSWER QUICKLYYYY
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
Hamburger buns come in packages of 12. Hamburger patties come in packages of 8. Bob would like to buy the smallest number of hamburger buns and hamburger patties so that he will exactly one hamburger patty per bun. How many packages of hamburger buns and hamburger patties must he buy?
PLEASE ANSWER QUICK I WILL GIVE LOTS OF POINTS
Answer:
Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.
Step-by-step explanation:
A pet store owner has a 1/2 -pound bag of dog treats treats that she divides evenly among 16 dogs.
What amount of dog treats, in pounds, does each dog receive?
Answer:
1/32 or in decimal form 0.313
Each dog will receive 1/32 pounds of dog treat.
What is unitary method ?Unitary method is first obtaining the value of a single unit then deriving the given unit from it by multiplying it.
Suppose in 1 hour a car can go 50 miles,So in 3 hours it will go to (3×50) = 150 miles.
According to the given question a pet store owner has a 1/2 -pound bag of dog treats that she divides evenly among 16 dogs.
∴ Each dog will receive (1/2)/16 pounds of dog treat which is
= 1/2×1/16 pounds of dog treat.
= 1/32 pounds of dog treat.
learn more about unitary method here :
https://brainly.com/question/23423168
#SPJ2
one of u guys helped me but they keep returning it saying show your work>:(
Answer:
36
Step-by-step explanation:
16*2 = 32
16*1/4 = 4
32+4 = 36
Answer: She will need 36 yards of material.
Step-by-step explanation:
16 × 2¹/₄ can be done different ways,
First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4
Then multiply 2 times 16 2×16 = 32
Add 32 + 4 = 36
Another way is to change 2¹/₄ to an improper fraction and multiply
⁹/₄ × 16
16
×9
54
+9
144
144/4 = 36
HELP ME PLS I WILL GIVE YOU THE BRAINEST
Answer:
The first term should be positive
She did not distribute the -4 properly
She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying
Step-by-step explanation:
In order to tell where she is wrong we should solve the question our selves. we are going to get the following......
[tex]-4(-3x + \frac{2}{7})= -4(-3x) + (-4)(\frac{2}{7} )= 12x - \frac{8}{7}[/tex]
So now we see that the three things she did wrong are.
The first term should be positive
She did not distribute the -4 properly
She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying
Hope this helps :)
Answer:
1, 4
Step-by-step explanation:
1. the product of two negatives are positive and they didn't do that, so yes.
2. the second term should NOT be positive, so they are correct on that.
3. they distributed the -4 correctly but added wrong, so they are correct on that.
4. -4+2/7=3 5/7 2/6(-4)=-4/3. They added instead of multiplying, so they are wrong.
5. they did simplify completely. they just did it wrong.
(x + 3x3 + 8x2) - (8x – 7x3 + 7x2)
Answer:
10 x 3 + x 2 -7 x
Step-by-step explanation:
Answer: 10x^3
Step-by-step explanation:
The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Which is the best prediction for Aria’s grade when she sleeps for 10 hours?
A 75
b 83
C 92
D 99
Answer: y= 3x+62
Step-by-step explanation: m= y₂-y₁/x₂-x₁
m= 80-62/6-0
m= 18/6
m=3
y-y₁=m(x-x₁)
y-62= 3(x-0)
y-62= 3x-0
y= 3x+62
At a party there were 20 more women than men. The men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. How many men and women were there in the party?
Answer: Number of Men = 44;
Number of Women = 64
Step-by-step explanation:
Let the number of men be x
At a party there were 20 more women than men. This means the number of women = x + 20
Since the men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. This will be represented in an equation as:
(30 × x) + [20 × (x + 20)] = 2600
30x + 20x + 400 = 2600
30x + 20x = 2600 - 400
50x = 2200
x = 2200/50
x = 44
The number of men = 44
Number of women = 44 + 20 = 64
A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later
Answer: 4 feet
Step-by-step explanation:
Given: m∠AEB = 45°
∠AEC is a right angle.
Prove: Ray E B bisects ∠AEC.
3 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Proof:
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the ______________
gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.
Select a sentence to fill in the blank.
Segment addition property
angle addition postulate
reflective property
transitive property
Answer:
Answer is B. angle addition postulate
Step-by-step explanation:
-UvU-
Solve for x: log 10^x = 21
Expand log (10^x).
x = 21
Answer:
10x=21
divide both sides by 10
WIll equal x=2.1
help in algebra 1!! needed asap!! in khan academy btw
Answer:
10 not in
5 in
0 not in
Step-by-step explanation:
Am I on the right track? Or am I doing something wrong?
Please please help me with this one!!!!!!
Answer:
m<C=31
m<D=76
m<DEC=73
Step-by-step explanation:
Do you need it? Reply if you do
What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Answer:
the final amount is 1,135
Step-by-step explanation:
The computation of the final amount is shown below:
= Amount × (1 + increased percentage)
= 1102 × (1 + 0.02)
= 1102 × 1.02
= 1124.04
Now the additional one percent increase is
= 1,124.04 × 1.01
= 1,135
Hence, the final amount is 1,135
The same is to be considered
A savings account increases from $200 to $208. What is the percent increase of the
savings account?
Answer:
4%
Step-by-step explanation:
8/200 = 0.04
Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27
Answer:
x= -9
Step-by-step explanation:
-8-3x+8=27
-8+8=0
-3x=27
divide by -3 both sides
27÷-3= -9
x= -9
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
If 3x+2=7x then what is x
Answer:
take the x together
then
2=7x-3x
2=4x
2/4=x
2=x
2 is your ans
I hope it helps mate
I will always help you understanding your assingments
have a great day
#Captainpower:)
City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?
Answer:
60 hope this helps!
Step-by-step explanation:
45-(-15) = 60
Answer:
Well person, it's 60 feet.
Step-by-step explanation:
Because it is simple math. You just add 45 and 15 then BOOM! ANSWER
Which shows the list of numbers in order from least to greatest?
Answer:
FIRST OPTION
-1, 1 1/2, 2, 3, 3.5
Step-by-step explanation:
Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500