What is the y-intercept of this line?
y = 4x + 5
b = [?].
Enter
I am stumped on these!
i dont really know how to do this can somebody help?
Answer:
(8, 11π/6)
Step-by-step explanation:
r= √(4√3)²+(-4)² = √48+16=√64=8
0 = tan~¹ -4/(4√3)
= tan~¹ -⅓√3 = 330° = 11π/6
the polar coord. => (8, 11π/6)
9514 1404 393
Answer:
8∠11π/6
Step-by-step explanation:
To simplify the way we talk of this number, we will refer to it as a vector. We'll assume its head is at the given coordinates, and its tail is at the origin. The magnitude of the vector is the root of the sum of the squares of its components:
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(4\sqrt{3})^2+(-4)^2}=\sqrt{48+16}=\sqrt{64}\\\\r=8[/tex]
The angle of the vector with respect to the +x axis is ...
[tex]\theta=\arctan{\dfrac{y}{x}}\qquad\text{a 4-quadrant arctangent}\\\\\theta=\arctan{\dfrac{-4}{4\sqrt{3}}}=-\arctan{\dfrac{1}{\sqrt{3}}}\qquad\text{a 4th-quadrant angle}\\\\\theta=\dfrac{11\pi}{6}[/tex]
In magnitude∠angle notation, the polar coordinates are ...
(4√3, -4) ⇔ 8∠(11π/6) . . . . . θ in radians
_____
Additional comment
Spreadsheets generally have an ATAN2(x, y) function that will return a 4-quadrant version of the angle. The usual ATAN( ) function will give the angle only in quadrants I or IV.
Some graphing calculators may also have the ATAN2 function. Some will simply do the entire conversion for you, without any need to deal separately with magnitude and angle. (You may need to write the number as a complex number, x +iy.)
Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5.0), and F (1, -3).Round your answer to the nearest hundredth when necessary.
1) 12 units
2) 16 units
3) 20 units
4) 24 units
Answer:
16 units
Step-by-step explanation:
A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar. What are the expected winnings of the player in one game
Answer:
The expected winnings of the player in one game = 2.55
Step-by-step explanation:
Given - A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar.
To find - What are the expected winnings of the player in one game ?
Solution -
Given that,
A blue die and a red die are thrown in a game.
The Sample Space becomes -
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (4, 4), (6, 5), (6, 6) }
So,
n(S) = 36
Now,
Let A be the outcome that, the sum of the two numbers is 7 or 11
A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(6, 5), (5, 6) }
So,
n(A) = 8
So,
P(A) = n(A)/ n(S)
= 8/ 36
= 2/9
⇒P(A) = 2/9
Now,
Let B be the outcome that, the sum of the two numbers is 12
B = {(6, 6)}
So,
n(B) = 1
So,
P(B) = n(B)/ n(S)
= 1/ 36
⇒P(B) = 1/36
Now,
Expected value, E(x) = ∑ x P(x)
= 10 × P(A) + 12 × P(B)
= 10 × 2/9 + 12 × 1/36
= 20/9 + 12/36
= (20×4 + 12)/36
= (80 + 12)/36
= 92/36
= 2.55
⇒Expected value, E(x) = 2.55
∴ we get
The expected winnings of the player in one game = 2.55
A regression was run to determine if there is a relationship between hours of tv watched per day (x) and the number of situps a person can do (y).The results of the regression were:y=ax+ba=−1.077b=30.98r2=0.744769r=−0.863Use this to predict the number of situps a person who watches 13.5 hours of TV can do.
Answer:
The number of situps is: 16.4405
Step-by-step explanation:
Given
[tex]y = ax + b[/tex]
[tex]a =-1.077[/tex]
[tex]b=30.98[/tex]
[tex]r^2 = 0.74476[/tex]
Required
Predict y when [tex]x = 13.5[/tex]
In the result, we have:
[tex]y = ax + b[/tex]
[tex]a =-1.077[/tex]
[tex]b=30.98[/tex]
This implies that:
[tex]y = -1.077x + 30.98[/tex]
To make prediction when [tex]x = 13.5[/tex]
We have:
[tex]y = -1.077*13.5 + 30.98[/tex]
[tex]y = -14.5395 + 30.98[/tex]
[tex]y = 16.4405[/tex]
a high school chemistry class is learning how to test a sample for blood type. About 35% of people have type O blood and about 65% of people have either type A, B, or AB. The test they are using is 91% accurate for determining blood type that is A, B, or AB. It is 94% accurate for blood type O. Approximately what is the probability that a sample is tupe AB but yields an incorrect test result
Answer:
Hey there I think the answer is 0.06 hopefully that helps
Step-by-step explanation:
i need the measurement of angle a
Angle B = 90°
Angle C = 67°
To find:-Angle A.
Solution:-[tex]{\boxed{\mathcal{\red{Angle\: A \:=\: 23° \:}}}}[/tex]✅
Step-by-step explanation:-We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ A + ∠ B + ∠ C = 180°
➪ ∠ A + 90° + 67° = 180°
➪ ∠ A + 157° = 180°
➪ ∠ A = 180° - 157°
➪ ∠ A = 23°
[tex]\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}[/tex]
To verify:-∠ A + ∠ B + ∠ C = 180°
✒ 23° + 90° + 67° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
Note:-
Please refer to the attached file.
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Find the measure of each angle in the isosceles trapezoid.
Answer:
Below in bold.
Step-by-step explanation:
m < C = m < D = 64 degrees
m <A + m < D = 180
m < A + 64 = 180
m<A = 180 - 64 = 116 degrees.
m < B = m< A = 116 degrees.
What is 90 inches converted into centimetres?
Answer:
228.9
Step-by-step explanation:
Answer:
228.6
Step-by-step explanation:
Multiply the inches by 2.54
90 x 2.54 = 228.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the shape of the base of the cylinder?
Answer:
circle
Step-by-step explanation:
On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?
pleace helppp meeeee
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:.
Step-by-step explanation:
Answer:
Step-by-step explanation:20/29
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Step-by-step explanation:
C.P of the marker= Rs. 40
S.P of the marker= Rs. 50
Profit= S.P- C.P
= 50- 40
= Rs. 10
Profit%= {[tex]\frac{Profit}{C.P}[/tex]×100}%
= {[tex]\frac{10}{40}[/tex]×100}%
= 25%
Hope it helps♡Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
Sam carn per hour walking just one dog?
Christie sells lemonade in her driveway. She spends $20 for supplies: lemons, sugar, and cups. With these
upplies, she can make enough lemonade to sell 100 cups of lemonade. If she charges a quarter per cup,
ow much profit will she make?
Answer: [tex]\$10,\ \$5[/tex]
Step-by-step explanation:
(a) Given
Sam charge $5 for each dog for a thirty minute walk
For an hour which is double the thirty minutes, it must be double of the same charge.
[tex]\Rightarrow 2\times 5=\$10[/tex]
(b)Given
With $20, Christie sells 100 cups of lemonade with a quarter per cup charge
For 100 cup, she generate a revenue of
[tex]\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25[/tex]
So, she earns [tex]25-20=\$5[/tex] that is , her profit is [tex]\$5[/tex]
Nenenennenwnjwnnwnwnnw
Based on the percentage of total daily calories in the number of calories needed how many biscuits and packages of pemmican and packages of butter and cocoa just one person need each day
(5600 calories per person)
pls help
Answer:
Number of biscuit needs = 28 packets
Number of Pemmican needs = 18 packets
Number of Butter cocoa needs = 4 packets
Step-by-step explanation:
GIven:
Total calorie required = 5,600 calories
Biscuits 80 (Calorie per packet) 40% of total diet
Pemmican 140 (Calorie per packet) 45% of total diet
Butter cocoa 210 (Calorie per packet) 15% of total diet
Find:
Number of biscuit, Pemmican and butter cocoa need
Computation:
Number of biscuit needs = [5,600(40%)]/80
Number of biscuit needs = [2,240]/80
Number of biscuit needs = 28 packets
Number of Pemmican needs = [5,600(45%)]/140
Number of Pemmican needs = [2,520]/140
Number of Pemmican needs = 18 packets
Number of Butter cocoa needs = [5,600(15%)]/210
Number of Butter cocoa needs = [840]/210
Number of Butter cocoa needs = 4 packets
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a. 12 yd
b. 36 yd
54 yd
d. 144 yd
Please select the best answer from the choices provided
Answer:
B. 36 yd
Step-by-step explanation:
I calculated it logically
100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED
Answer:
1.
In triangle ∆AFD ,∆BGD ,∆CHD
<AFD=<BGD=<CHD
[being corresponding angle]
<DAF=<DBG=<DCH
[being corresponding angle]
<D is common for all.
So
∆AFD ~∆BGD ~∆CHD
[By A .A .A. axiom]
look
again
at picture pasted
By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.
What is Similarity of triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
a). In ΔAFD, ΔBGD, ΔCHD
∠AFD = ∠BGD = ∠CHD [being corresponding angle]
∠DAF = ∠DBG = ∠DCH [being corresponding angle]
∠D is common for all.
So ∆AFD ~∆BGD ~∆CHD [By A .A .A. axiom]
Learn more about similarity of triangle from:
https://brainly.com/question/25882965
#SPJ2
a. Find the probability of the normal curve between z = -2.50 and z = 1.50.
Answer:
[tex] = \phi( - 2.50) + \phi(1.50) \\ from \: calc : \\ = 0.4938 + 0.4332 \\ = 0.927[/tex]
Gor is running a bakery. He has made a street sign to direct people to his
bakery. He painted one side of the post and sign. What is the painted area?
15 in
15 in
8 in
50 in
6 in
A. 390 square inches
B. 585 square inches
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²
Answer:
B. 585 square inches :)
Step-by-step explanation:
Factor x^2+20x+ 100 show work
Answer:
(x+10)^2
Step-by-step explanation:
x^2+20x+ 100
What 2 numbers multiply to 100 and add to 20
10*10 =100
10+10=20
(x+10) (x+10)
(x+10)^2
Circle 0.5 of the stars.
There are 5 stars in this role.
There are 5 stars in this role.
How many do we circle in total?
Answer:
2.5, 2 and 1 half stars
Step-by-step explanation:
0.5=1/2, so 5/2= 2.5
Answer:
5
Step-by-step explanation:
it is asking for .5 of the stars, which in percentage is 50%. if the total is 10 because 5 stars in each row and there are 2 rows. you add the numbers of stars per row, then divide it by 2, and you would get 5; so you would circle 5 stars.
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled
Complete Question
A manufacturer of banana chips would like to know whether its bag filing machine works correctly at the 445 gram setting is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed State the null and alternative hypotheses for the above scenario
Answer:
[tex]H_o=\mu=445g[/tex]
[tex]H_a=\mu<445g[/tex]
Step-by-step explanation:
From the question we are told that:
Mass [tex]M=445g[/tex]
Significance level [tex]\alpha=0.01[/tex]
Generally the Null and Alternative Hypothesis is
[tex]H_o=\mu=445g[/tex]
i.e The bags are not under filled
[tex]H_a=\mu<445g[/tex]
i.e The bags are under filled
Find the value of x. Round to the nearest degree.
Answer:
can you provide a picture of the question plz
Step-by-step explanation:
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
In the triangle ABC shown below, DE is parallel to BC. Find the length of DB.
20
10
D
E
х
B
15
с
Answer:
i think it's 10 because if DE is 10 so BD is the same think it's 10
Money Neil has a total of twelve $5 and $10 bills in his wallet. He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?
Answer:
He has 2 $5 bills and 10 $10 bills
What’s the area of this rectangle
Answer:
49/5 mm
Step-by-step explanation:
7/2×14/5
multiply the numerator and denominator
98/10
simplify
49/5 or
9 4/5 mm
What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry
Answer:
[tex]7n−13[/tex]
Step-by-step explanation:
[tex]4n+3(n−5)+2[/tex]
[tex]4n+3n+3 \times (−5+2)[/tex]
[tex]4n+3n−15+2[/tex]
[tex]7n−15+27n-15+2[/tex]
[tex]7n−13[/tex]
Hope it is helpful....TESTS OF
ADULT BASIC
EDUCATION
ABE
LOCATOR TEST
Answer:
Step-by-step explanation:
Wat lol