Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?
a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16
Answer:
D. uv = 1.71 and vu = 3.16
Step-by-step explanation:
The scalar projections are uv = 1.71 and vu = 3.16
The correct option is (D)
What is meant by scalar projection?The definition of scalar projection is the length of the vector projection.
Given: u = ⟨2, 1⟩, = ⟨4, –1⟩, and θ = 40°
Proj u_v = |u| cosθ
= 2.25 * cos 40
= 2.25 * 0.7660
=1.72
and, Proj v_u = |v| cosθ
= 4.123 * cos 40
= 4.123 * 0.7660
= 3.16
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what is 62 1/2% as a decimal?
Answer:
62.50 or 0.625
Step-by-step explanation:
The decimal form of [tex]62\frac{1}{2}[/tex] percent is 0.625.
The given percentage is [tex]62\frac{1}{2}[/tex] %
This fraction is in a mixed fraction.
Convert it into an improper fraction
So,
[tex]62\frac{1}{2}[/tex] % = (62x2 + 1)/2
= (124+1)/2
= 125/2 %
Now divide 125 by 2 to get the decimal form
2) 125 ( 62.5
- 12
_____
x 5
- 4
______________
1 0
- 1 0
_________
x
Therefore,
[tex]62\frac{1}{2}[/tex] % = 62.5 %
We can write,
62.5 % = 62.5/100
= 0.625
Hence the required decimal form is 0.625.
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How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
In an aquarium, there are 3 red, 6 yellow, 4 white and 2 black fish. Find the ratio of the: a) Number of yellow fish to the number of white fish. b) Number of black fish to the total number of fish. c) Number of red fish to the number of black fish.
Answer:
a. 3 : 2
b. 2 : 15
c. 3 : 2
Step-by-step explanation:
Red fish = 3
Yellow fish = 6
White fish = 4
Black fish = 2
Total number of fishes = 15
a) Ratio of the Number of yellow fish to the number of white fish.
Yellow fish : White fish
6 : 4
= 6 /4
= 3/2
= 3 : 2
Ratio of the Number of yellow fish to the number of white fish = 3 : 2
b) Ratio of the Number of black fish to the total number of fish
Black fish : Total fish
2 : 15
= 2 / 15
= 2 : 15
Ratio of the Number of black fish to the total number of fish = 2 : 15
c) Ratio of the Number of red fish to the number of black fish
Red fish : black fish
= 3 : 2
= 3/2
= 3 : 2
Ratio of the Number of red fish to the number of black fish = 3 : 2
As delivery truck drove an average of 42 mph it took two hours and 15 minutes to travel between two towns what is the distance between the two towns
Answer:
The distance is 10.5 miles
Step-by-step explanation:
Mathematically; we want to calculate the distance between the two towns in the question
Distance = speed * time
15 minutes to hours is 15/60 = 1/4 hours
So the distance would be;
Distance = 42 mph * 1/4 = 10.5 miles
A sweater originally marked $80.00 went on sale for $45. What was the percent of change?
Answer:
43.75%
Step-by-step explanation:
80-45=$35 off
35 is 43.75% of 80
UREGENT‼️‼️
5. Could the following triangles lie on the same
graphed line? Why or why not?
Answer:
Yes
Step-by-step explanation:
Because they are right triagnles
Answer: No, the triangles do not lie on the same graphed line
=========================================================
Explanation:
Your teacher is asking if the hypotenuse segments are parallel, that way one line can slide over to the other to be directly on top of it.
Recall that parallel lines have the same slope, and slope is rise over run.
rise = change in vertical distance = change in y
run = change in horizontal distance = change in x
Let's find the slope of the hypotenuse of the triangle on the left
slope = rise/run = 15/2 = 7.5
Let's do the same for the other triangle as well
slope = rise/run = 51/6 = 8.5
The slopes are different, so we don't have a perfect match. The hypotenuse segments do not lie on the same line.
A student solves a quadratic and gets solutions of x=-7 and x=8. Could the discriminant of this equation equal -188?
Answer:
7
Step-by-step explanation:
this is extra credit . solve for X
Answer:
x = - 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
35 - 5 - 8x - 2x = 180 ( simplify left side )
30 - 10x = 180 ( subtract 30 from both sides )
- 10x = 150 ( divide both sides by - 10 )
x = - 15
1.4 – ( ___ ) = 2
Pls hurry plz
Answer: The answer is –0.6, wait a second, did you duplicate your question?
Step-by-step explanation:
Adele took a total of 12 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter, how many quizzes will Adele have taken in total? Assume the relationship is directly proportional.
?quizzes
Answer:
30 quizzes
Step-by-step explanation:
12 quizzes in 2 weeks means that there were 6 per week and 6 (quizzes per week) times 5 (number of weeks) would be 30.
Hope this helped!!
Answer:
30, or 42
Step-by-step explanation:
If they took 12 quizzes over the course of 2 weeks, then we can assume that they take 6 quizzes each week (12/2 = 6).
Over the course of 5 weeks, they'll have taken 30 quizzes if the above is true. However, the 'or' is there because I don't know if they're including the past 12 or not. If they are including the 12 quizzes taken over 2 weeks, then the answer is 42. If they are only referring to the 5 weeks of school, then the answer is 30.
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]
Where:
a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).
f(x) is the height of the shell at the given x-value.
2πx is the circumference of the shell at the given x-value.
In this case, we need to express y = x³/4 in terms of x to find the function f(x).
Given: y = x³/4
To find the function in terms of x, solve for x:
[tex]x = (4y)^{(1/3)[/tex]
Now, the function f(x) becomes:
[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]
Now, let's calculate the volume using the cylindrical shell method:
[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]
[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]
To integrate, add 1 to the exponent and divide by the new exponent:
[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]
Now, evaluate the expression at the limits of integration:
[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]
[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]
[tex]\mathrm V = 6\pi/7[/tex]
So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
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need answers asap rnn
Answer: of each shape? 3 & 4?
Step-by-step explanation:
Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?
Answer:
8porque9x8da72
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars
Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all packages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points
Answer: 11,700,000
Step-by-step explanation:
Number of people in Pennsylvania =13,000,000
Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10
The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:
= 9/10 × 13,000,000
= 11,700,000
Ty has 230 pages of text to read in the next three days. If he averages 25 pages every 1 1/4 hours, how many hours will he be spending reading?
Answer:
11.5 hrs
Step-by-step explanation:
Divide 230 by 25. Then multiply your quotient by 1.25 which is 1 1/4 to get the number of hours. 230 divided by 25 is 9.2. 9.2 times 1.25 is 11.5
Hope This Helps!
please help!!(GIVING BRAINILEST) Which number line shows the solution of -3x+6>12?
Answer:
The answer is D
Step-by-step explanation:
Answer: C
Step-by-step explanation:
−3x + 6 > 12
Move all terms not containing x to the right side of the inequality.
Subtract 6 from both sides of the inequality.
−3x > 12 − 6
Subtract 6 from 12.
−3x > 6
Divide each term by −3 and simplify.
Divide each term in −3x > 6 by −3. When multiplying or dividing both sides of an i nequality by a negative value, flip the direction of the inequality sign.
(-3x/-3)<(6 /-3)
Cancel the common factor of −3.
Divide 6 by −3.
x < −2
( − ∞ , − 2 )
What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5
Thanks,
Answer:
First Step of solving this expression: Multiply
Answer for the expression: 40
Step-by-step explanation:
To find the first step you need to follow the order of operation
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication
To solve multiply 6 and 3
Which is 18
Now the expression looks like this:
28-11+18+5
Now simplify from left to right:
28-11=17
17+18=35
35+5=40
Hope this helps!
Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:
17 + 23 = 40!
Step-by-step explanation: PEMDAS:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
A student earned a grade of 70% on a math test that had 20 problems. How many problems on this test did the student answer correctly?
9514 1404 393
Answer:
14
Step-by-step explanation:
Assuming the grade is proportional to the number of problems answered, we have ...
a/20 = 70/100
a = 20(0.70) = 14 . . . . multiply by 20
The student answered 14 problems correctly.
Which equation describes the line with a slope of 2/5 and a y-intercept of 4.
Answer:
the equation is y=2/5x+4
Step-by-step explanation:
hope this helped :) have a good day!!
please answer i need it quick
Answer:
Step-by-step explanation:
3x^4+2x^3
Ok so I’m getting braces in a week and I’m pretty scared about it. But however, does it hurt when they put them in?
Answer:
Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)
Step-by-step explanation:
Answer:
They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.
" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."
I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.
Step-by-step explanation:
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
Answer:
5/12
Step-by-step explanation:
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
The above question is solved below.
The Fractional part of the quiz he got correctly is
5/9 of 3/4 of his timed maths test
= 5/9 × 3/4
= 5/12
He got 5/12 of his quiz correctly.
Plz help this is worth 30 points
Answer:
Choice A
Step-by-step explanation:
The Grinch said he asked for three-quarters not five-eighths for the size of wrench. What is the size of the wrench he needed written as a percent?
Answer:
3/4 as a percent is 3 divided by 4 which is 75%
I don't think you need it, but 5/8 as a percent is 62.5%
Step-by-step explanation:
please help me, i don’t know how to do this:)
x=12, y=[tex]6\sqrt{2}[/tex]
This triangle is a special right triangle, a 45-45-90 triangle. In this format, the the hypotenuse will be [tex]x\sqrt{2}[/tex], while the side lengths would be x. With this in mind we can already figure out y is [tex]6\sqrt{2}[/tex]. The hypotenuse would be [tex](6\sqrt{2} )(\sqrt{2} )=12[/tex]
HELP NEED THIS BADLY five ninths minus two sixths correct answer=branliest
Answer:
0.222 as a decimal
111/500 as a fraction
22.2 as a %
5 divided by 9/10 :))
3x + 2 = 3x + 2 pls help me I do not understand
Answer:
3x+2=3x+2 because, you have to combine your like terms, so here is an example..
3x + 2
there are no like terms to combine here so the problem stays how it was, so there saying 3x+2 = 3x+2 because they're stating the problem then saying that the answer is the same because there is no like terms her to combine.
Hope this helps,