[tex] \sf \underline{Answer:}
[/tex]
Pick any value for x, like x = 0, plug it into the equation, and get the value for y. For x = 0,
2(0) + y = 5
y = 5
The ordered pair is (0,5). Find other ordered pairs using the same reasoning.
[tex]2(0) + y = 5[/tex]
[tex]y = 5[/tex]
The ordered pair is (0,5).Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89
The correct option for the given vector is the third one:
u = (5, -8): ||u|| = √89What are the component form and magnitude of u?If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.
Then we have:
u = (5, -8)
For a vector w = (x, y) the magnitude is:
[tex]||w|| = \sqrt{x^2 + y^2}[/tex]
In this case, the magnitude will be:
[tex]||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}[/tex]
Then the correct option is the third one.
If you want to learn more about vectors:
https://brainly.com/question/3184914
#SPJ1
Give the values of a, b, and c needed to write the equation's general form.
(x - 3)2 = 0
1. a = 1; b = -3; c = 0
2. a = 1; b = -6; c = -3
3. a = 1; b = -6; c = 9
The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x²-3x=0
The quadratic equation in the form is;
ax² + bx + c = 0
On putting the values of the options one by one we will get the answer;
1 x²+(-3)x+0
x²-3x=0
Hence, option A is corect.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
Write an equation for a circle with center (-2, 8) and radius 9.
The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ1
Willing to give brainlyest if you can aswer these for me ASAP
Answer:
65
Step-by-step explanation:
its simple math
Answer:
x+5=12. x = 7,
7x=21. x = 3,
b-2/3=5/6. b = 1.5,
3/4x=6x=8. x = 1/3,
45=3(x+1). x = 14,
22.5+1.5x. x = 15,
20+(5•9). $65
Step-by-step explanation:
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a card game with his friends. the game uses only the four aces from a standard deck of cards. for each move, a player draws one card, replaces it, and then draws the second card. the probability that a player draws two cards of the same color is . the probability that a red ace is drawn first and then a black ace is
The probability that a red ace is drawn first and then a black ace is mathematically given as
x=1/4
What is the probability that a red ace is drawn first and then a black ace?Where
Sample mean=(x,y)\, x, y \in \{h,d,c,s\}
If we want a player to draw two cards of the same color from their deck, the following combinations of cards are appropriate choices:
[tex](h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)[/tex]
Generally, 8 possible pairings above 16. This indicates that the likelihood of a player drawing two cards of the same color is 8/16, which is equivalent to a probability of half.
In conclusion, In a similar vein, the following pairs of cards illustrate the likelihood of obtaining a black ace after having drawn a red ace in the previous round:
[tex](h,c),\ (h,s),\ (d,c),\ (d,s)[/tex]
Giving
x=4/16
x=1/4
Read more about probability
https://brainly.com/question/795909
#SPJ1
Answer:
1/4
Step-by-step explanation:
Find the sum of the first 7 terms of the following sequence 3,-5,25/3 Round to the nearest hundredth if necessary.
This is a geometric sequence with first term 3 and a common ratio of -5/3.
Using the sum of a geometric series formula,
[tex]\frac{3(1-(-5/3)^{7}}{1-(-5/3)} \approx \boxed{41.31}[/tex]
A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Answer: Probability = 90%
Step-by-step explanation:
In a drawer we have:
2 black shirts
7 white shirts
11 gray shirts
If we would randomly pick a shirt, what are the chances of it not being black?
To do that, we first need to calculate the probability of getting a black shirt.
To calculate that, we need to divide the number of black shirts by the total number of shirts.
Black shirts = 2
Total shirts = 2 + 7 + 11 = 20
That will be 2 black shirts divided by 20.
We get 0.1
If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.
Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.
And that will be 90% chances of not getting a black shirt.
Probability = 90%
Hope I Helped!
What is the slope of the line with the equation y-3=-1/2(x-2)?
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y -3 = -\frac{1}{2}(x-2)[/tex]
Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
[tex]y-3=-\frac{1}{2}x + 1[/tex]
[tex]y = -\frac{1}{2}x+4[/tex]
Therefore, the slope is [tex]-\frac{1}{2}[/tex].
Light travels at 300,000 km/s, how long would it take to travel from the sun which is 148800000 km away
Answer:
496 seconds
Step-by-step explanation:
148800000 ÷ 300000 = 496
Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)
The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.
How to compute the value?a = 25
d = 5
The fifth year will be:
= a + (n - 1)d
= 25 + (5 - 1)5
= 25 + (4 × 5)
= 45
The 14th year will be:
= a + 13d
= 25 + 13(5)
= 90
The 26th will be:
= a + 25d
= 25 + 25(5)
= 150
The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:
Year 10 = n/2[2a + (n - 1)d]
= 10/2[5(25) + 45]
= 475
Year 22 = 25[50 + 245]
= 1705
Year 50 = 25(50 + 245)
= 7375
Learn more about franchise on:
brainly.com/question/3687222
#SPJ1
How to find the point slope form with the slope of 3 and the point of -2/6
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:y-6 = 3(x + 2) [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Equation of line in point - slope form :
[tex]\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)[/tex]
[tex] \tt \:m = slope=3[/tex][tex]\tt y_1 = y \: \: coordinate \: \: of \: \: point = 6[/tex][tex] \tt \:x_1 = x \: \: coordinate \: \: of \: \: point = - 2[/tex]Here :
[tex]\qquad \tt \rightarrow \:y - 6 = 3(x - ( - 2))[/tex]
[tex]\qquad \tt \rightarrow \:y - 6 = 3(x + 2)[/tex]
Help Me. I need to get back on track on common factors and factors.
Answer:
A) 1, 2, 4
Hope this helps you!
Answer:
A. 1, 2, 4
Step-by-step explanation:
32= 1*32, 2*16, 4*8
36* 1*36, 2*18, 3*12, 4*9, 6*6
Common factors: 1, 2, 4
So the Answer is A.
most everyday purchases at the store are labeled with the piece of the item before sales tax. Which expression could be used to find the amount of tax
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
The complete question is
Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could be used to find the amount of tax? Amount of Tax = Original Price + Total Cost Amount of Tax = (Total Cost)(Original Price) Amount of Tax = (Original Cost)(Tax %) Amount of Tax = (Total Cost)(Tax %)
What is Tax ?Tax is the % of the amount taken by the government on the sales or income of a person , There are many kinds of taxes imposed on various sectors.
The amount of tax is taken on the cost of the product ans thus can be represented by
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
To know more about Tax
https://brainly.com/question/16423331
#SPJ1
find the surface area of the prism
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the prism is,
Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]
= 232 in²
Hence, the surface area of the prism is 232 in².
Learn more about Area:
https://brainly.com/question/1631786
#SPJ1
Which of the following is needed to construct a hexagon?
OA. Six obtuse triangles
OB. Six isosceles triangles
OC. Six right triangles
OD. Six equilateral triangles
The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.
What is needed to construct a hexagon?
By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.
On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.
Read more on hexagon;
https://brainly.com/question/1615720
#SPJ1
Answer:
The correct answer is six equilateral triangles.
Step-by-step explanation:
The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.
Explaintion needed.
Step-by-step explanation:
for straight Line AE:
110° + AČB = 180° ( angles on straight line )
A Č B = 70°
for triangle "A C B"
65° + 70° + x = 180° (sum of angles on triangle)
x = 45°
DO THE SAME THING FOR THE UPPER PART ( straight line A E and triangle A D C) PLEASE GIVE ME BRAINLIEST ANSWER
Someone or anyone pls help me, I just want the answers pls it’s so urgent
Step-by-step explanation:
The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY
For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.
For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.
Simplify cubed 5 -10/27
The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = [tex]({5 -\dfrac{10}{27}})^3[/tex]
E = [tex](\dfrac{135-10}{27})^3[/tex]
E =[tex]\dfrac{125}{27}^3[/tex]
E = 99.22
Therefore the correct answer for the given expression is 99.22.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .
Answer:
Step-by-step explanation:
If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the points are (2,7)
The slope of line A is,
m = 6/2
m=3
The equation of the line is,
y-(-1)=3x
y=3x+1
Since the line B is parallel to A the slope of the line is the same,
y-(-7)=3(x-2)
y=3x+1
Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
the ratio of the teacher and student of Nepal Secondary School is 1:32. if the number of teachers of that school is 25 find the number of students
Answer:
The number of students is 800
1 teacher=32 students
25 teachers=?
(32×25)/1
800
What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3
__________________________________________________________
[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________
[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________
[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________
[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________
Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
For the mode to be 6, there has to be at least two 6s.
For the median to be 6, with two 6s, there must be at least one number above 6.
For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.
Here is a sketch of y=x^2 +bx+c
Answer:
Step-by-step explanation:
Wich seires of transformations will not map figure L onto itself
Answer:
cheesefnekeeorknfdndndndn
X +4
2 - 16
lim
X→-4 X
I'm going to assume you meant to say
[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}[/tex]
Factorize the denominator to reveal a removable discontinuity in the limand:
[tex]\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}[/tex]
In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with
[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}[/tex]
In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.
Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.
Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000
Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.
Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000
What is economic and accounting profit?Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost
Explicit cost = $560,000 + $74,000 + $83,000 =$717,000
Implicit cost = 130,000
Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000
Economic profit = $-17,000 - $130,000 = $-147,000
Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000
Economic profit = $33,000 - $130,000 = $-97,000
Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000
Economic profit = $83,000 - $130,000 = $-47,000
Accounting profit when revenue is 850,000: - 717,000 = $133,000
Economic profit = $133,000 - $130,000 = $3000
Here is the complete question:
For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.
700,000
750,000
800,000
850,000
To learn more about profit, please check: https://brainly.com/question/26181966
#SPJ1
Tom was able to save 35% more this year than he did last year. If he saved $140 last year, how much did he save this year?
Answer:
$189
Step-by-step explanation:
35% of 140 = 49
140 + 149 = 189
Tom's total saving this year is $189.
It is a 35 percent increased saving from last year's $140.
What are percentages?Percentages are fractional values where the denominator is fixed to be 100.
To convert percentage into number, we multiply by 100.
How to solve the question?In the question, we are informed that Tom was able to save 35% more this year than he did last year.
We are asked if he saved $140 last year, then how much did he save this year.
The increase in Tom's savings = 35% of last year's savings,
or, the increase = 35/100 * 140 (To convert percentage into quantity, we divide by 100).
or, the increase = $49.
Therefore, Tom's total savings this year = Last year's savings + Increase,
or, Tom's total saving this year = $140 + $49 = $189.
Learn more about percentages at
https://brainly.com/question/843074
#SPJ2
Which graph represents the solution set for the compound inequality below? ---x+ 10 ≥7 X-10≥7
x-10≥7
A graph which represents the solution set for the compound inequality is shown in the image attached below.
How to determine the graph?In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.
Given the following inequalities:
⅓x + 10 ≥ 7
x - 10 ≥ 7
For the first inequality, we have:
⅓x + 10 ≥ 7
Multiply all through by 3;
x + 30 ≥ 21
x ≥ 21 - 30
x ≥ -9 ⇒ x < 9.
For the first inequality, we have:
x - 10 ≥ 7
x ≥ 7 + 10
x ≥ 17.
In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.
Read more on inequalities here: https://brainly.com/question/24372553
#SPJ1
What is the solution to the following system of equations? (1 point)
x − 3y = 5
2x + y = 10
(5, 0)
(0, 5)
(7, 0)
(0, 7)
Answer:
Step-by-step explanation:
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction
The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.
How do the Sides of Similar Triangles Relate?The corresponding sides of similar triangles have ratios that are equal to each other.
The corresponding sides and their ratios are:
4/12 = 1/3
5/15 = 1/3
Therefore, the ratio of their sides in its lowest term is:
C. 4/12 = 5/15 = 1/3
Learn more about the similar triangles on:
https://brainly.com/question/2644832
#SPJ1
