Answer:
455 miles
Step-by-step explanation:
Identify the polar coordinates for each value in the table below, discuss the shape and behavior of the graphs, and use this to graph the equation of r=2 cos〖3θ.〗
Symmetry hint: see if the equation is true for the following:
the line θ = 90°: replace (r, θ) with (r, 180° – θ) or (-r, -θ)
the polar axis: replace (r, θ) with (-r, 180° – θ) or (r, -θ)
the pole: replace (r, θ) with (r, 180° + θ) or (-r, θ)
Answer:
we know that
the relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
Θ = tan⁻¹ (y/x)
so
Part a) (2, −2)---------> this point belong to the IV quadrant
r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°
the answer part A) is
(r,Θ)=(√8,315°)
Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°
the answer part B) is
(r,Θ)=(√10,108.43°)
mark me branlest plz hope it helps
The answers are a) (r,θ) = (√8,315°) and b) (r, θ) = (√10,108.43°).
The relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
θ = tan⁻¹ (y/x)
so,
A) (2, −2 belongs to the IV quadrant,
r = √(x² + y²)
r = √(2² + (-2)²
r=√8
θ = tan⁻¹ (y/x)
θ = tan⁻¹ (2/2)
= 45°
The point belongs to the IV quadrant,
so,
θ = 360-45
θ = 315°
Therefore,
(r,θ) = (√8,315°)
B) (-1, 3) belong to the II quadrant,
r = √(x² + y²)
r = √(-1² + (3)²)
r = √10
θ = tan⁻¹ (y/x)
θ = tan⁻¹ (3/1)
= 71.57°
The point belongs to the II quadrant ;
so,
θ = 180-71.57
θ = 108.43°
Therefore,
(r, θ) = (√10,108.43°)
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PLZ I NEED URGENT HELP
Answer:
Project 4 Score ; 41
Step-by-step explanation:
Assuming that Project 4's score is x;
( Project 1 + Project 2 + Project 3 + Project 4 ) / 4 ⇒ take to substituting the value of each Project, provided Project 4's score being x;
45 = 42 + 49 + 48 + x / 4 ⇒ combine like terms,
45 = ( 139 + x ) / 4 ⇒ let 4 be a common denominator among numerator terms,
45 = 139 / 4 + x / 4 ⇒ divide 139 over 4,
45 = 34.75 + x / 4 ⇒ subtract 34.75 from either side,
10.25 = x / 4 ⇒ Multiply either side by 4,
x = 41 = Score of Project 4,
Solution; Project 4 ⇒ 41
Calculate the slope of the line that goes
through the ordered pairs (0, -7), and (-2,-27).
Answer:
10
Step-by-step explanation:
To find the slope subtract the points like the following:
(-27-(-7)/(-2-0)
= -20/-2
=10
So, the slope is 10.
Consider all of the four-digit numbers that can be formed using the digits 1, 2, 3, and 4 when no digit is used twice. What is the probability that one of these numbers, when chosen at random, is between 2000 and 3000?
A. 20%
⊝
B. 25%
⊝
C. 33 %
⊝
D. 50%
Please help I’ll give brainliest
Answer:
Option B
Step-by-step explanation:
Given: all the four-digit numbers are formed using the digits 1, 2, 3, and 4 such that no digit is used twice
To find: probability that number chosen lies between 2000 and 3000
Solution:
Probability refers to chances of occurring of some event.
Total number of numbers formed using digits 1, 2, 3, and 4 = [tex]4\times 3\times 2\times 1=24[/tex]
Numbers between 2000 and 3000 start with 2. So, first digit is fixed as 2. For remaining three digits, possibilities are 4, 3, 1
So, total number of numbers lie between 2000 and 3000 = [tex]3\times 2\times 1=6[/tex]
Probability that number chosen lies between 2000 and 3000 = total number of numbers lie between 2000 and 3000/Total number of numbers formed using digits 1, 2, 3, and 4 = 6/24 = 1/4
In percentage form, Probability that number chosen lies between 2000 and 3000 = [tex]\frac{1}{4}(100)=25\%[/tex]
Probability that a four digit number formed from 1,2,3,4 is between 2000 & 3000 = 25%
Calculation of Probability
Total number of four digit numbers that can be formed by digits 1,2,3,4 (without repetition)
Possible outcomes for first digit = 4
Possible outcomes for second digit = 3
Possible outcomes for third digit = 2
Possible outcomes for fourth digit = 1
So, total ways in which mentioned 4 digit number can be formed = 4 x 3 x 2 x 1 = 24 ways
When number is between 2000 & 3000, it starts from digit 2
So, possible outcome for first digit = only 1 ( ie digit 2)
Possible outcomes for second digit = 3
Possible outcomes for third digit = 2
Possible outcomes for fourth digit = 1
So, total ways in which 4 digit number starting from digit '2' can be formed = 1 x 3 x 2 x 1 = 6 ways
Probability = Favourable outcomes / Total outcomes
6 / 24 = 0.25 = 25%
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-9 = x + 4
Please Help
Answer
-13=x
Step-by-step explaination
-9 = x+4
-9-4 = x
-13 = x
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x - 7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
XP-21
x2 - 4x - 21
X2 - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
SOMEONE PLEASEEEE HELP MEE will mark you brainliest
Use the triangle to evaluate each function.
sin(A) =
tan(A) =
sec(A) =
Answer:
sin (A) = opposite / hypotenuse = BC / AB = 3/5
tan (A) = opposite / adjacent = BC / AC = 3/4
sec (A) = hypotenuse / adjacent = AB / AC = 5/4
Step-by-step explanation:
Part I
sin(A)= 3/5
tan(B)= 3/4
sec(A)= 5/4
Part II
B. cot(B)
Step-by-step explanation:
Use the binomial theorem to expand (a + b)^6
Answer:
(a+b)6= a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
Step-by-step explanation:
Answer:
the answer is C
the following question is B
Step-by-step explanation:
edge 2020
The line graph shows the number of goals scored
by a team in 18 games.
a) In how many games were zero
goals scored?
Number of games
b) Altogether, how many goals did
the team score in the 18 games?
c)What was the median number
of goals that the
team scored?
Answer:
a) 1 game
b) 41 goals
c) median = 2
Step-by-step explanation:
a)
As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.
b)
To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:
total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals
c)
To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.
We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.
Answer:
Step-by-step explanation:
its d
PLEASE....50 POINTS TO WHOEVER ANSWERS RIGHT AWAY!! THANK YOU!!
Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs $0.55. What is the total cost of the framing for the painting?
Answer:
is there any picture
Step-by-step explanation:
because I think I need a picture
Answer:
16.5 dollars
Step-by-step explanation:
4 by 11 inch pic
Calculate the area of the rectangle with a base of 15 inches and and an altitude of 7 inches
Answer:
a
Step-by-step explanation:
it hs explanasion
someone please help fast I will mark as brainelist
Answer:
1.economics 2.endangered species 3. environmental impact statement
Step-by-step explanation:
sry if its wrong i did it really fast
Part A: What is the slope of the line?
Part B: What does the slope mean for this problem?
Part C: What is the Y-Intercept?
Part D: What does the Y-Intercept mean for this problem?
Part E: Write an equation for this function in slope-intercept form.
Thank you !! :)
Answer:
part A : slope equals 3
part B : It takes 3 hours for a change in temperature
part C : -6
part D : the initial temperature was -6°C
part E : Y = 3X - 6
Help please my brain hurts
Answer:
Do it yourself
Step-by-step explanation:
2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet
per second, then its height h after t seconds is given by the equations h(t) = -16° +128t (if air
resistance is neglected).
a. How long will it take for the rocket to return to the ground?
b. After how many seconds will the rocket be 112 feet above the ground?
C. How long will it take the rocket to hit its maximum height?
d. What is the maximum height?
Answer:
a. 8 seconds.b. 1 second and 7 seconds.c. 4 seconds.d. 256 feet.Step-by-step explanation:
The given function is
[tex]h(t) = -16t^{2}+128t[/tex]
The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)
Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)
Now, when the rocket is 112 feet above the ground, we have
[tex]112 = -16t^{2}+128t[/tex]
Where we need to solve for [tex]t[/tex]
[tex]0 = -16t^{2}+128t-112[/tex]
Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)
Which one of these is the correct unit of measurement in finding volume?
Group of answer choices
square centimeter
cubic meter
inch
feet cubic
Answer:
feet cubic
Step-by-step explanation:
Answer:
the last one, feet cubic
Step-by-step explanation:
A rectangular field has a length of 0.26 miles and a width of 0.48 miles find the area of the field
Answer:
0.1248
Step-by-step explanation:
To find area you multiply length and width.
Can some one explain how to do this?
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{FG}{EG}[/tex] = [tex]\frac{28}{EG}[/tex] ( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = [tex]\frac{28}{tan60}[/tex] ≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{28}{EF}[/tex] ( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = [tex]\frac{28}{sin60}[/tex] ≈ 32.3 in ( to the nearest tenth )
help please desperate!!
Answer:
Step-by-step explanation:
[tex]V=\pi r^2h\\=\pi *4^2*3\\=48\pi[/tex]
Need answer please hurry
Answer:
Step-by-step explanation:
A.
Mr. Jonson’s students want to know his age. He tells them that this year his age is a multiple of 9, and next year it will be a multiple of 4. a What’s Mr. Jonson’s age?
Answer:
27
Step-by-step explanation:
28/4 = 7
27/9 = 3
3+jk+k3 when j=2 and k=6
Answer:
33
Step-by-step explanation:
Start with substituting variables j and k
3 + (2) (6) + 3(6)
= 3 + 12 + 18
= 15 + 18
= 33
Answer:
33
Step-by-step explanation:
3+ (2*6) + (6*3)
3+ 12+ 18
33
Eight oranges and four apples costs $176. Three oranges and fifteen apples cost $335. How much would two oranges and five apples cost?
$204
$124
$116
$76
$136
Answer: $124
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
8 x + 4 y = 176
3x + 15 y = 335
Cost = sum of products (number of fruits x price per unit)
Where x is the price per orange and y is the price per apple.
We have to multiply the first equation by 3 ; the second equation by 8; and subtract the first equation to the second:
24x +120y =2680
24 x +12y = 528
_______________
108y =2152
Solving for y
y = 2152/108
y= 20
Replacing y =20 in any equation:
8x + 4 (20)=176
8x+80=176
8x =176-80
8x =96
x =96/8
x=12
Finally we have to calculate how much would two oranges and five apples cost.
2x+5y = 2(12)+5(20)= 24+100= $124
what is the volume of thiss figure ?
Answer:
18 ft³
Step-by-step explanation:
Answer:
18 ft^3.
Step-by-step explanation:
This is a 3*3*4 prism which has been cut in half diagonally.
So it's volume is 1/2 * 3 *3 * 4
= 1/2 * 36
= 18 ft^3.
Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.
The radius is 7
Step-by-step explanation:
Volume = 4/3 × [tex]\pi[/tex] r³
Volume = 4/3 × 3.14 × 7 × 7 × 7
Volume = 1436.03 cm³
The volume of the sphere with a radius of 7 units is 457.33π cubic units
Volume of a sphereA sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:
V = 4/3πr^3
where:
r is the radius of the sphere:
Given the following
r = 7 units
Substitute the given parameters
V = 4/3(π) * 7^3
V = 4/3 * π * 343
V = 1372π/3
V = 457.33π cubic units
Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $58. The total cost to rent 5 chairs and 2 tables is $23. What is the cost to rent each chair and each table?
Answer:
Equations::
4c + 8t = 58
2c + 3t = 23
----------------
Modify for elimination:
4c (4c*1) + 8t (8t*1)= 58
4c (2c*2) + 6t (3t*2)= 46
---------------------
Subtract and solve for "t":
2t (8t-6t) = 12
t = $6 (cost of one table)
-----
Solve for "c":
2c + 3t = 23
2c + 18 = 23
2c = 5
c = $2.50 (cost of one chair)
The area of a room is 55.929 square meters. If its width is 5.43 meters, what is its length
Look at the attached picture
Hope it will help you...
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
2
grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.
This question is incomplete and has not be written correctly.
Complete Question:
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.
What is the mass of the larger humming bird?
Answer:
7 1/2 grams
Step-by-step explanation:
The mass of Bee humming bird is given in the question as = 1 1/2 grams
Mass of the larger humming bird = 5 times the mass of Bee humming bird
The mass of the larger humming bird is calculated as:
5 × 1 1/2 grams = 5 × 3/2 grams
= 15/2 grams = 7 1/2 grams
Therefore, the mass of the larger humming bird is 7 1/2 grams
Camille's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.
The fitted line has a yyy-intercept of 373737.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The model predicts that the study time will increase 373737 hours for each additional point scored.
(Choice B)
B
The model predicts that the score will increase 373737 points for each additional hour of study time.
(Choice C)
C
The model predicts that a student who scored 000 points studied for 373737 hours.
(Choice D)
D
The model predicts that students who didn't study at all will have an average score of 373737 points.
A graph plots Score, from 0 to 90, in increments of 10, versus Study time, in hours, from 0 to 4.5, in increments of 0.5, on an x y plane. Dozens of points rise diagonally in a tight, narrow cluster between (1.8, 62) and (4.4, 95). A regression line rises diagonally through the center of the cluster from (0, 38) to (4.2, 100). All values estimated.
Answer:
D
Step-by-step explanation:
Khan Academy
The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.
We know that the y-coordinates of the regression line y=mx+c are (0,c) depicting that c is the y-intercept, corresponding x-coordinate is 0.
So, the model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
Thus, The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.
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