Answer:
45°
Step-by-step explanation:
add 180
reference angle=-135+180=45°
whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1
Answer:
Mean Absolute Deviation (MAD): 0.75
Step-by-step explanation:
Total numbers: 8
Mean: 2
Mean absolute deviation: 0.75
Which tables display linear functions? Check all that apply.
Answer:
A,D, First and Last
Step-by-step explanation:
Answer:
All boxes but the top right box are linear.
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)
I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.
Solve for the slope using the given values.
Slope formula: y2-y1/x2-x1
= 8-5/5-0
= 3/5
Point slope form: y - y1 = m(x - x1)
Using the point (5, 8) and the slope (3/5), it should look like:
y - 8 = 3/5(x - 5)
Best of Luck!
Find the growth rate (b) if the amount of growth is 11.8%
Answer:
B
Step-by-step explanation:
I think.
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 6 tons. About how much would it cost to family to move from New York to Florida?
Answer:
this is wrong sry
Step-by-step explanation:
Answer:
$7,200
Step-by-step explanation:
1 ton is 2,000 pounds so 6 tons would be 12,000 pounds. Multiply that 0.60 and you get 7,200.
which expression can be used to find the value of x in the triangle shown part b write the value of x to the nearest tenth?
Answer:
where is the image?
Step-by-step explanation:
Yasmin is measuring wood to make picture frames.She needs 9/10 meters of wood for on frame.She needs 35 centimeters less wood for a second frame.How many centimeters of wood will Yasmin need for the second frame?
Answer: 55 cm
Step-by-step explanation:
Hi, to answer this question, first, we have to convert the meters into centimeters.
Since: 1 m = 100 cm
We have to multiply the length of the first frame by 100 to express the length in cm.
9/10 m x 100cm/m = 90 cm
Finally, since she needs 35 centimeters less wood for a second frame, we have to subtract 35 cm to the amount of woof needed for the first frame.
90-35 = 55 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Put in order rational numbers
Answer:
[tex]-\frac{26}{40}[/tex]
[tex]-\frac{9}{20}[/tex]
[tex]\frac{12}{25}[/tex]
Step-by-step explanation:
Divide each individually.
[tex]-\frac{9}{20}=-0.45[/tex]
[tex]\frac{12}{25}= 0.48[/tex]
[tex]-\frac{26}{40}=-0.65[/tex]
Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48
I WILL GIVE YOU BRAINLIEST
PLEASE IM STUGGLING
Answer:
in the step by step
Step-by-step explanation:
1-I could tell by matching the width of the rectangle with the circumference of the lid. The width would wrap perfectly around the circle if it is the same length at the circumference.
2-The width would be different because the width is equal to the circumference.
3-First, I would find the circumference. I would do 2(h)*pi to find the circumference. I would draw two circles with this circumfrence, then I would put a rectangle in between the circles with the height as the height of the cylinder and the width as the circumference.
If f(x)= 2x+3 and g(x)= 7x-9. What is f(x) + g(x)?
Answer:
9x -6
Step-by-step explanation:
f(x)= 2x+3 and g(x)= 7x-9
f(x) + g(x) = 2x+3 + 7x-9
Combine like terms
= 2x+7x +3-9
=9x -6
Answer:
9x-6
Step-by-step explanation:
2x+3+7x-99x+3-99x-6Simplify the expression below.
tv2 - 9
4w
21
A.
B.
4w + 7
W + 3
w + 7
-9
-40 21
C.
D. w - 3
Answer:
Its either C or D
good luck
have a good day - be safe - and healthy too
Answer:
B
Step-by-step explanation:
Please help!
How do you compare irrational numbers?
Answer:
By comparing, I'm assuming you mean greater than, or equal to, or less than.
To understand that let's get two irrational numbers.
Let's use pi, (3.14159265358979...) and square root of 2.
It's just like doing normal compares. I recommend trying to put the number in decimal form (if its not already in it for it is much easier.)
Square root two = 1.414....
Pi = 3.14159..
Since the unit of pi is greater than square root two, we know pi is greater.
Hoped this helped ya, if this is not the answer you expected, please clarify on what you mean by "compare" in the comments. :)
If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2
Answer:
Option B.
Step-by-step explanation:
Note: Given roots are not in proper format.
Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].
According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).
Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).
Therefore, the correct option is B.
Answer:
B)
Step-by-step explanation:
Find the 100th term in the arithmetic sequence 0,5,10,15
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
Which equation could be used to solve problems involving the relationships between the angles?
A) (12 + a) + (7a + 12) = 90
B) 90 + (12 + a) = (7a + 12)
C) (12 + a) − (7a + 12) = 90
D) (7a + 12) − 90 = (12 + a)
Answer:
c
Step-by-step explanation:
C) (12 + a) − (7a + 12) = 90
0 0 1 2 3 4 4 5 6 6
Which of the following could be the one missing data item for the above
set, if the mode is 4?
OA) 0
OB) 3
OC) 4
OD 5
(3x+20)=(5x-16) Find the value of X
Answer:
x = 18
Step-by-step explanation:
3x + 20 = 5x - 16
Subtract 20 from both sides
3x + 20 - 20 = 5x - 16 -20
3x = 5x -36 {Now subtract 5x from both sides}
3x - 5x = 5x - 36 +5x
-2x = -36 {Divide both sides by (-2)}
-2x/-2 = -36/-2
x = 18
Step-by-step explanation:
(3x+20)=(5x-16)
combination of like terms
3x-5x= -16-20
-2x= -36
x= -36/-2
x=18
lily wants to buy a smartphone, she has $500 to spend .list three ways she can get a good deal
Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2
Factor the trinomial:
2x^2 + 17x + 35
Answer:
(x+5)(2x+7)
Step-by-step explanation:
2x^2+17x+35
as sum
2x^2+10x+7x+35
Factor it outtt
2x(x+5)+7(x+5)
You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?
Answer: On loan of $5000 at that rate, you would be owing $9400
Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.
Hence, the formula for a simple interest computation is given as follows;
Interest = P x R x T
Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)
Interest = 5000 x 0.22 x 4
Interest = 20000 x 0.22
Interest = 4400
Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.
Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)
Simplify the expression. What classification describes the resulting polynomial?
Answer:
A quadratic Trinomial
Step-by-step explanation:
hope this helps
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A
Answer: i believe the answer would be a quadratic trinomial.
Step-by-step explanation:
2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB
Answer:
They help to visualize the problem
Step-by-step explanation:
Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC
a. SAS
b. AA
c. SSS
d. AAS
Answer:
if B is AAA then that is correct
Step-by-step explanation:
A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way
around one time, the bicycle travels 198 centimeters. How can this information be used to
estimate the value of ?
63 cm
Click the arrows to choose an answer from each menu.
Because the wheel is circular, the height of the wheel is the Choose...
of
the circle. The distance traveled by the wheel when it goes all the way around one time is the
Choose...
of the circle. To estimate the value of t, Choose... the distance
traveled by the wheel when it goes all the way around by Choose...
y
My Progress >
The height of the wheel is 63 centimeters that is the diameter of the circular wheel, and the distance traveled by the wheel when it goes all the way around one time is 198 centimeters that is the perimeter of the circular wheel.
Given :
A bicycle wheel is 63 centimeters from top to bottom.When the wheel goes all the way around one time, the bicycle travels 198 centimeters.a) The height of the wheel is 63 centimeters that is the diameter of the circular wheel.
b) The distance traveled by the wheel when it goes all the way around one time is 198 centimeters that is the perimeter of the circular wheel.
c) The distance traveled by the wheel when it goes all the way around one time is the perimeter of the circle. To estimate the value of t, divide the distance traveled by the wheel when it goes all the way around by its height.
For more information, refer to the link given below:
https://brainly.com/question/25277954
diameter
circumference
divide
one-half of its height
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answer:
S (3,2) T (2,4) U(1,1)
Step-by-step explanation:
You flip it over the vertical line. The Y coordinate stays the same but the X changes so it's the opposite.
Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3,-9).
Answer:
x= -0.5
y= -2.5
For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range
Answer:
domain: {2, -1, 1}
range: {3, 4 6}
Step-by-step explanation:
In the relation of the form (x,y)
Set of all possible value of X is called Domain
Set of all possible value of Y is called Range
To get a list of domain and range it is required to separate value of x and y
_________________________________
Relation given in the problem
S:{(2,3),(−1,4), (1,6)}
domain: {2, -1, 1}
range: {3, 4 6}
what is the volume of the figure below.
Answer:
146,452
Step-by-step explanation:
