Answer:
x=131°
Step-by-step explanation:
180°-49°=131°
<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.
b) 2a + 3b If a = 7 and b = 2, find the value of a) ab c) 2ab d) (a - b)2
Answer:
b) 20, a) 14, c) 28, d)10
Step-by-step explanation:
b) 2a +3b ; a=7 and b=2
2(7) + 3(2)
14 +6
20
a) ab
(7)(2)
14
c)2ab
2(7)(2)
14(2)
28
d) (a-b)2
2a-2b
2(7)-2(2)
14-4
10
I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.
6x²+2x-8÷(2x-2)=
How do you divide polynomials by binomials
9514 1404 393
Answer:
3x +4
Step-by-step explanation:
Polynomial long division is done the same way numerical long division is done.
The next quotient term is found by dividing the highest-degree dividend term by the highest-degree divisor term. The result is the exact quotient term. There is no need to go back and make an adjustment as there sometimes is with numerical long division.
Once you have the quotient term, you multiply that by the divisor and subtract from the dividend. This is the same procedure as is used with numerical long division. The difference is the new dividend, and the process repeats.
When the dividend is lower-degree than the divisor, that dividend is the remainder. For this division, the remainder is zero, so the quotient has no fractional part.
__
Both the quotient and the divisor can have any degree and any number of terms. It is useful to write both so all powers of the variable are accounted for, using 0 as a coefficient where necessary. This helps keep things straight when you're multiplying and subtracting. As you know, only "like" terms (terms of the same degree) can be combined by addition or subtraction.
How do you interpret domain and range in terms of the context?
Answer:
By the end of this resource, you will be able to identify domain and range from any given contextual situation.
Determining the domain and range from a linear or quadratic contextual situation is similar to determining the independent and dependent variables.
Step-by-step explanation:
Suppose you are interviewing for a job. Your employer offers you the choice of two different options for your pay. The first option is to pay you $10.00 per hour and give you a raise of $.50 per hour at the end of the year. The second option is to pay you $11.50 per hour and give you a raise of $.25 per hour at the end of the year.
First, find a function for each option. To do that, you have to know what the domain and range might be. Let y = the amount you will make at the end of the year and x = the number of hours you work. Thinking about what would be reasonable values for x and y will help determine the domain and range.
First, let's think about the domain. Since x represents the numbers of hours you worked for the year, would it be reasonable to have negative values? If you said NO, you would be correct. We can assume the lowest possible value in the domain would equal zero. So, our domain would be {x| x ≥ 0}.
Now, let’s think about the range. Since y represents your earnings at the end of the year, would it be reasonable to have negative values? If you said NO again, you would be correct. You cannot earn a negative amount. We can assume the lowest possible value in the range would also equal zero. So, our range would be {y | y ≥ 0}. You should be able to relate with this situation since you may have to make a decision in comparing two or more job offers in your future.
It's important to realize that every situation is different and you must think about what is reasonable.
4/9x8/75
I do not get it
Answer:
124/ 225
see photos for step to step solution
What is the area of a circle whose circumference is 16 pi inches?
Answer:
=100.53
Step-by-step explanation:
Questlon 3 OT TU
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = * x2 +12?
A. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
B. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
C. The graph of AX) is vertically compressed by a factor of 5 and
shifted 12 units up.
D. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
SUBMIT
Answer:
The answer is A. when you compress horizontally you take it by a factor of 1/a. in this case a=5. 12 is your k value and k decides whether or not you shift up or down, because k is positive or is upward by 12
Step-by-step explanation:
Please Mark Brainliest
¿Es 42.497.365 divisible por 6?
No, 42,497,365 is not divisible by 6.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
Hello, i'm looking for someone to help me with my missing math hw?
Answer:
Hello! I can help you with it :)
Well, I do not know where you live, so I do not know what nooks and crannies your hm could be hiding.
A map of Asia has a scale of 1.5 inches= 300 miles. The distance between Thailand and China is about 5.25 inches. How far is it from Thailand to China in miles? Round to the nearest mile.
Answer:
1050
5.25/1.5 = 3.5
3.5x300 = 1050
what's name of H2CO3
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid
If log10 x=-5, what is the value of x?
Answer:
A
Step-by-step explanation:
[tex]log_{10}x=-5\\10^{-5}=x\\x=\frac{1}{10^5}[/tex]
Which expression is equivalent to 6(14)?
6(1+40)
6(10+40)
6(10+14)
6(10+4)
Answer:
6(10+4)
Step-by-step explanation:
Are the two lines parallel, perpendicular,
or neither?
y = 3x -4 and 3x +9y = 18
Prerequisites :-
1) The product of slope of two perpendicular lines is-1 .
2) The slope of two parallel lines is same .
Given two lines to us are ,
[tex] y = 3x - 4 [/tex]This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,
[tex] m_1 = 3 [/tex]Again , the second line given to us is ,
[tex] 3x + 9y = 18 [/tex]Convert it into slope intercept form , we have ,
[tex]\implies 3( x + 3y ) = 18 [/tex]
Divide both sides by 3 ,
[tex]\implies x + 3y = 6 [/tex]
Solve for y ,
[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]
On comparing to the slope intercept form ,
[tex] m_2 = \dfrac{-1}{3}[/tex]And the product both the slopes is ,
[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]
Hence the given two lines are perpendicular .
A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.
First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]
Then, the linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
Item b:
The value after 10 years is V(10), so:
[tex]V(10) = 224000 - 6800(10) = 156000[/tex]
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
[tex]V(t) = 224000 - 6800t[/tex]
[tex]100000 = 224000 - 6800t[/tex]
[tex]6800t = 224000 - 100000[/tex]
[tex]6800t = 124000[/tex]
[tex]t = \frac{124000}{6800}[/tex]
[tex]t = 18.24[/tex]
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at https://brainly.com/question/24978772
what are 2 different ways to find 12 -3?
Answer:
Way 1: Determine "what" plus 3 equals 12
Way 2: Regularly take away 3 from 12
Step-by-step explanation:
[1] Let's see if I am correct, shall we?
[tex]n+3=12[/tex]
Subtract 3 from both sides giving you...
[tex]n=9[/tex]
--
[2] Let's see if I am correct, shall we?
[tex]12-3=n[/tex]
Take away 3 from 12 which gives you...
[tex]9=n[/tex]
Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money
Answer:
10 headbands = $12.50
Step-by-step explanation:
1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.
2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.
3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.
1.
To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.
Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:
S = 1.25 * x
Now, we can use this function to fill in the table:
Number of Headbands Sold (x) | Commission (S)
0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)
1 | 1 * 1.25 = $1.25
2 | 2 * 1.25 = $2.50
3 | 3 * 1.25 = $3.75
7 | 7 * 1.25 = $8.75
15 | 15 * 1.25 = $18.75
32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)
2.
To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.
Given (x, S) = (5, 6.5)
Using the function rule: S = 1.25 * x
S = 1.25 * 5 = 6.25
The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.
3.
To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.
For example, let's choose x = 10:
Using the function rule: S = 1.25 * 10 = $12.50
So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.
Learn more about Function Rule from the link given below.
https://brainly.com/question/10705186
#SPJ2
Kaitlin drove 325 miles in 5 hours. At the same rate, how long would it take her to drive 455 miles?
Answer:
7 hours
Step-by-step explanation:
take the original distance traveled to find the speed traveled and take the new distance to travel devided by the speed 325÷5=65 455÷65=7
What is cos(317)? explain how I would get that solution without using a calculator please. Correct answer gets BRAINLIEST!!
Answer:
Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV
In the fourth quadrant, the values for cos are positive only.
317 is an obtuse angle since it is greater than 90°
cos(317) = 0.73135369730756
Step-by-step explanation:
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item.
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answer:
1st,2nd,4th,
Step-by-step explanation:
You have to divide the price by the numbers of items!
Answer:
It's A,B,D
Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.
Step-by-step explanation:
HURRY Alot of Points (50)
Which statements are true?
Choose all answers that are correct.
A. Senators have to have been a U.S. citizen for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
B. Senators and members of the House of Representatives must agree to serve at least two terms in office.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
Answer:
Step-by-step explanation:
A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
NO LINKS OR ASSESSMENT!!!
Write a rule to describe each transformation: #10 & #12
Answer:
Step-by-step explanation:
10
You are rotating the the triangle 180 degrees about the origin. The rule for that is (x,y) ----> (-x,-y)
So X starts at (-4,1) and rotates until it hits (- - 4, -1 or (4,-1). Question is that where X' is? Yes.
Now try the next two points
W(-3,-4) ------> W'(- - 3, - -4) = W'(3,4)
Y(-1,-2) =====> y'(- - 1 , - - 2) = Y'(1,2)
Is that where these points are? Yes it is
12
This given triangle GFH rotates 90 anticlockwise. The rule for that (x,y) ===>(-y,x)
This means that you interchange x and y and make the y value minus. All you have to do is obey the rule.
F(-3,0) becomes F'(0,-3)
G(4,0) becomes G'(0,-4)
H(-3,3) becomes H'(-3,-3)
What should you be convinced of? You should think there is no stretch taking place -- the triangles are not getting bigger or smaller. You should see that the shape remains the same. If you cut both out with a pair of scissors and put one on top of the other, you could not tell which came from where.Answer:
10) (x, y) ⇒ (-x, -y) . . . . rotation 180° about the origin
12 (x, y) ⇒ (-y, x) . . . . . rotation 90° CCW about the origin
Step-by-step explanation:
10) The order of the points WXY is CW in both figures, so no reflection (or an even number of reflections) across a line will be involved. Each image point is the same distance from the origin as its preimage point, so no dilation is involve. Those distances are in opposite directions, so rotation 180° about the origin is indicated.
The transformation describing that is ...
(x, y) ⇒ (-x, -y)
__
12) The order of points GHI is CW in both figures, so reflection across a line is not involved. Each image point is the same distance from the origin as its preimage, so no dilation is involved. The direction from the origin is different by 90°, so there has apparently been a 90° CCW rotation about the origin. This transformation is described by the rule ...
(x, y) ⇒ (-y, x)
Stuck on this problem can someone please help
Answer:
b
Step-by-step explanation:
Answer:
it have to D
Step-by-step explanation:
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
budgeted $4,000 for their reception. If the reception hall charges a $50 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
They can invite at max 112 people.
Step-by-step explanation:
4000 - 50 = 3950
3950 / 35 = 112.85 (Can't round up to 113 because then it will go over their budget), so you will get 112 people.
Find the intercepts of the following equation
7x^2+y=7
How do you write 3 3/4 as a decimal?
Brian has 40 stickers. He shares 5 with his friends every day. After 5 days, how many stickers will Brian have left?
Answer: 15 stickers
Step-by-step explanation: 5*5=25 40-25=15
Need help ASAP. Due in 15min….
[tex]1 \times \frac{3}{5} + ( \frac{7}{10} )[/tex]
Answer:
1 \times \frac{3}{5} + ( \frac{7}{10} )
Answer:
Second and Fifth answers
Step-by-step explanation:
The negative is being multiplied by a negative so the 7/10 should be positive.
Adu has a rectangular field. it is 85m long and 25m wide . How long is the fence round the field?
Answer:
220mStep-by-step explanation:
you only need to find the perimeter,
add the lengths of the rectangle's four sides
85+25+85+25=
220m
(5 - 2i) + (-4 + 81)
O A. 5i
B. 7i
O c. 1-6
D. 1 + 6
Answer:
82 - 2i
Step-by-step explanation:
(5 - 2i) + (-4 + 81)
5 - 2i + 77
= 82 - 2i
1 + 6i
we open the brackets to give us
5 - 2i - 4 + 8i
collecting like terms, we have,
-2i + 8i + 5 - 4
6i + 1
or
1 + 6i
Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies?
$21,000 loss
$81,000 loss
$21,000 profit
$81,000 profit
there would be a $21,000 profit.
this is because of the equation:[tex]40,000(.75) + 60,000(.45)+80,000(.30)+(-20,000)(1)= 21,000[/tex]
I would expect a $21,000 profit if I sign with all 3 companies.
Given that my business is looking into three contracting firms, and based on previous research, there is a 75% chance that company 1 will earn me $ 40,000, there is a 45% chance that company 2 will earn me $ 60,000, while Company 3 has a 30% chance of earning me $ 80,000, and it costs $ 20,000 to draw up legal paperwork for each company, to determine how much profit or loss would I expect after this deal is done if I sign with all 3 companies, the following calculation must be performed:
((40,000 x 0.75) - 20,000) + ((60,000 x 0.45) - 20,000) + ((80,000 x 0.30) - 20,000) = X 30,000 - 20,000 + 27,000 - 20,000 + 24,000 - 20,000 = X 81,000 - 60,000 = X 21,000 = X
Therefore, I would expect a $21,000 profit if I sign with all 3 companies.
Learn more in https://brainly.com/question/22097128