Given :
Vector V has components of (6,9).
To Find :
The angle in degrees that vector V makes with the x-axis.
Solution :
The x-component of vector is, x = 6 units.
The y-component of vector is, y = 9 units.
So, the angle the vector makes from the horizon is :
[tex]\theta = tan^{-1}{\dfrac{y}{x}}\\\\\theta = tan^{-1}{\dfrac{9}{6}}\\\\\theta = 56.31^o[/tex]
Hence, this is the required solution.
Match the equation below with the following graph.
Find the value of x
Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
180 degree line-
180 = (8x + 120)
-120
60 = 8x
/8
7.5
x = 7.5
7(7.5) = 52.5
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
HELP ASAP I WILL MARK BRANLIEST!!!
This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
o
1
2
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their sexfie exactly 3 times.
p = [?]
Answer:
0.14
Step-by-step explanation:
0.14 is the probability that a person will retake their sexfie exactly 3 times.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
Total frequency = 27+29+18+14+12 = 100
frequency of 3 retakes = 14
p(r) = frequency of 3 retakes/ Total frequency
p(r) = 14/100 = 0.14
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
write a function rule for the statement. The output is five times the input.
Answer:
y=5x
Step-by-step explanation:
If the input is x, then the out put is 5x. So y=5x
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
what is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
= [tex]\frac{x_1+x_2}{2}[/tex]
= [tex]\frac{-1+6}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= [tex]2.5[/tex]
The midpoint on Y-axis is:
= [tex]\frac{y_1+y_2}{2}[/tex]
= [tex]\frac{5+(-3)}{2}[/tex]
= [tex]\frac{5-3}{2}[/tex]
= [tex]\frac{2}{2}[/tex]
= [tex]1[/tex]
Thus the midpoint of AB is "2.5, 1".
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
How do I get the answer
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
The price of a gallon of milk follows a normal distribution with a mean of $3.20 and a standard deviation of $0.10. What proportion of the milk vendors have prices that were less than $3.12 per gallon
Answer:
[tex]P(x<3.12)= 0.21186[/tex]
Step-by-step explanation:
Mean [tex]\=x=\$3.20[/tex]
Standard deviation [tex]\sigma =\$0.10[/tex]
Estimated price [tex]y=\$3.12[/tex]
Generally the equation for P(x<3.12) is mathematically given by
[tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]
[tex]P(x<3.12)=(z<-0.8)[/tex]
Since from Z table
[tex]P(x<3.12)= 0.21186[/tex]
Therefore the proportion of the milk vendors that have prices that were less than $3.12 per gallon is
[tex]P(x<3.12)= 0.21186[/tex]
Please help fast..........
Answer:
Where's the picture?
(4y − 3)(2y2 + 3y − 5)
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
what is the value of x over 20 = 5 over 8
Answer:
x = 12.5
Step-by-step explanation:
PLZ HELP FIRST RIGHT GETS BRAINLEST
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
Answer:
[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,
[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]
Simplify,
[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]
[tex]\frac{9}{78}[/tex]
Find the quotient: 5 1/7 ÷ 3
Answer:
12 /7
Step-by-step explanation:
theres no quotient
Answer:
The answer is: (12/7) OR (1 5/7) <-- (SIMPLIFIED)
Step-by-step explanation:
First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would simplify the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12) and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)
~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~
Hannah Borjas
What is the perimeter of the rectangle?
TH
65 feet
55 feet
A 240 feet
B 130 feet
с
3,575 feet
D
120 feet
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
CHECKING YOUR UNDERSTANDING
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper
1. A dinner plate has a diameter of 10.2 cm. What is the area of the dinner plate?
A. 81.67 cm
C. 93.84 cm
B. 85.12 cm
D. 100.02 cm
2. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around
in circles pulling the leash as far as it can go. How much area does the dog have
to run around ?
A. 26.28 m2
C. 29.66 m2
B. 28.26 m2
D. 32.28 m²
3. A storm is expected to hit 7 mi in every direction from a small town of Malabon.
What is the area that the storm will affect?
A. 116.68 mi
C. 150.67 mi
B. 124.83 mi
D. 153.86 mi
4. Every December, an amusement park is constructed in Malabon Robinsons Town
mall. A carousel is the most favorite ride of the kids there. The diameter of the
carousel is 20.5 m. What is the area of the carousel?
A. 329.90 m²
C. 392.90 m2
B. 328.90 m2
D. 391.90 m2
5. A lawn sprinkler sprays water 4.5 ft in every direction as it rotates. What is the area
of the sprinkled lawn?
A. 56.885 ft
C. 63.585 ft
B. 60.855 ft
D. 65.385 ft
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
GENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
SOLUTION :-
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
Two parallel lines cut by a transversal are shown. What is the measure of X"?
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked angles are "alternate interior" angles, so are congruent.
(x° +20°) = (4x° -10°)
30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x
10 = x . . . . . . divide by 3
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter find their present age.
help me
with explanation !!!
Answer:
Their present ages are:
Her daughter's age = 12 years Women's age = 36 yearsStep-by-step explanation:
Given that:
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter.To Find:
Their present ages.Let us assume:
Her daughter age be x. Women's age = 3xAfter 12 years:
Her daughter's age = x + 12Women's age = 3x + 12Finding their present ages:
According to the question.
⇒ 3x + 12 = 2(x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
⇒ x = 12
Their present ages:
Her daughter's age = x = 12 years Women's age = 3x = (3 × 12) = 36 years
A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?
Answer:
area of triangle =1/2 x b x h
Step-by-step explanation:
=1/2 x 7 x 12
= 1/2 x 84
= 42 units
please help me !!!!!!
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
Constant of Variation
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided.
Answer:
B. f and g are reflections of each other about the y-axis.
Step-by-step explanation:
I calculated it logically
find the value of X and please show your work.
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is
19.9 in and the height of the pyramid is 14.3 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.
Answer:
Step-by-step explanation:
scam . smď
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86
Answer: 87
Step-by-step explanation:
This will be solved using an arithmetic progression. The formula will be:
= a + (n - 1)d
where,
a = first term = 10
d = common difference = 7
n = 12
Therefore, 12 term will be:
= a + (n - 1)d
= 10 + (12 - 1) × 7
= 10 + (11 × 7)
= 10 + 77
= 87
Therefore, the number of stitches that are in the 12th row will be 87.