Answer:
[tex]y=-\dfrac{1}{2}x+2[/tex]
Step-by-step explanation:
Define two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(0,2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(4,0)[/tex]
Use the slope formula and the defined points to find the slope:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{4-0}=-\dfrac{1}{2}[/tex]
Substitute the found slope and one of the points into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-2=-\dfrac{1}{2}(x-0)[/tex]
Simplify:
[tex]\implies y-2=-\dfrac{1}{2}x[/tex]
[tex]\implies y=-\dfrac{1}{2}x+2[/tex]
Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?
Using proportions, it is found that the amounts are given as follows:
Amount deposited: $127,500.Amount of interest: $153,792.21.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:
D = 425 x 25 x 12 = $127,500.
The amount of interest is the total amount subtracted by the amount deposited, hence:
I = 281,292.21 - 127,500 = $153,792.21.
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(6.03)
What is the constant term in the expression 6x³y + 8x² + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
( Math ) Please explain how you got this answer! Please use substitution method!
Answer:
y = 1
x = -2
Step-by-step explanation:
During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".
5A) x = -2y
5B) x = 2 - 4y
-2y = 2 - 4y <----- Set both equations equal
2y = 2 <----- Add 4y to both sides
y = 1 <----- Divide both sides by 2
Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".
x = -2y <----- Equation 5A
x = -2(1) <----- Plug 1 into "y"
x = -2 <----- Multiply -2 and 1
Use a real number line to define la.
Choose the correct answer below.
OA. |a| = -a for any real number a.
B. The midpoint of the origin and a is la for any real number a.
OC. The distance from the origin to a is la for any real number a.
D. The distance from a to a is |a| for any real number a.
A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.
Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.
Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
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Write the integral and solve for the area under the curve:
Answer:
Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]
Area: 6
Step-by-step explanation:
[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]
10,000,000,000 is which power of ten? 21 -1 10 100
Answer:
10
Step-by-step explanation:
There are ten zeros therefore in standard form it is 1 x 10 to the power of 10 or [tex]10_{12}[/tex]
Find the indicated side of the right triangle 60° 30° 3 x
Answer: [tex]3\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\tan 60^{\circ}=\frac{x}{3}\\\\\sqrt{3}=\frac{x}{3}\\\\x=\boxed{3\sqrt{3}}[/tex]
At the taco truck an order of 1 taco and 3 quesadillas cost $ 26.50. An order if 3 tacos and 1 quesadilla cost $19.50. for 5 tacos and 1 quesadilla. What is the cost of one taco and the cost of one quesadilla?
Answer:
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
Step-by-step explanation:
Let the cost of tacos be x and the cost of quesadillas be y.
Given condition:x + 3y = 26.50 ------------------(1)
3x + y = 19.50 -------------------(2)
Multiply Eq. (2) by 3
3(3x + y) = 19.50 * 3
9x + 3y = 58.5 -----------------(3)
Subtract Eq. (3) from (1)
x + 3y - 9x - 3y = 26.50 - 58.50
x - 9x = -32
-8x = -32
8x = 32
Divide 8 to both sides
x = $4
Put x = 4 in (1)
4 + 3y = 26.50
Subtract 4 to both sides
3y = 26.50 - 4
3y = 22.50
Divide 3 to both sides
y = $7.50
So,
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
[tex]\rule[225]{225}{2}[/tex]
algebra 2 look image below
Which of the following is another name for a proof by contradiction?
There are a few possibilities:
Indirect proofreductio ad absurdumThe second term refers to the idea of simplifying a claim down to an impossible absurd one.
Question 19 of 40
Which of the following is the correct definition of an angle?
OA. A shape formed by two intersecting lines or rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting rays
D. A shape formed by two intersecting lines from a common point
The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.
What is a line segment?A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.
Now, an 'angle' is formed by two rays having a common end-point.
As the angle has a common endpoint,
Therefore it is not possible to form an angle by intersecting two rays having different endpoints.
Hence, option D is correct.
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Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have?
Answer:
Mr. Harry has 5 children.... I know what you were going for...
For the given equation, find the values of a, b, and c, determine the direction in which
and determine the y-intercept. Decide which table best illustrates these values for the equation
f(x) = -9x² +7x
Answer: Table D
Step-by-step explanation:
The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.
This eliminates tables A, B, and C.Thus, table D is the answer.
Simplify
24x²y
6x
for all x = 0.
Step-by-step explanation:
[tex] = \frac{24 {x}^{2} y}{6x} [/tex]
[tex] = \frac{24}{6} . \frac{ {x}^{2}y }{x} [/tex]
[tex] = 4.xy[/tex]
[tex] = 4xy[/tex]
[tex] \: [/tex]
• Substitute the value of x.
[tex] = 4xy[/tex]
[tex] = 4 \times 0y[/tex]
[tex] = 0[/tex]
If you bought a stock last year for a price of $103, and it has risen 13.5% since then, how much is the stock worth now, to the nearest cent?
The stock worth now, to the nearest cent is $90.75.
How to find the current worth of stock?The current worth of stock = initial price of stock+increase in the price of stocks
If you bought stock last year for a price of $103, and it has risen 13.5% since then,
Let X be the worth of stock;
103 × 100 = (13.5% + 100%) × X
10300 = 113.5X
X = 10300/113.5
X = 90.74889868
X = $90.75
Hence, The stock worth now, to the nearest cent is $90.75.
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evaluate 2/3 - 1/6 * 1/4
Answer: 0.625
Step-by-step explanation:
Kira plans to buy a used van that costs $14,000. The dealer requires a 20% down payment. The rest of the cost is
financed with a 4-year, fixed-rate amortized auto loan at 3.5% annual interest with monthly payments.
22
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent
if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
S
▷
$ 0
(b) Find the amount of the auto loan.
Aa
(c) Find the monthly payment.
A: 2800
B: 11200
C: 250.39 per month
Question 9 of 10
For what value of x is the rational expression below equal to zero?
3x + 15
6-x
OA. -5
OB. 5
O C. 6
OD. -6
UBMIT
Answer:
A. -5
Explanation:
For (3x + 15)/(6 - x) to be equal to zero. Set the equation to 0.
Doing so:
(3x + 15)/(6 - x) = 0
3x + 15 = 0(6 - x)
3x + 15 = 0
3x = -15
x = -15/3
x = -5
Therefore, the value of x is -5 to equal to zero.
8(w-5)=16 solve for w please give working out
Para administrar 500 ml de suero fisiológico (SF) al 0,9% en el período de 8 horas a las 20 horas, se debe planear un goteo, en gotas/min. Igual a:
Si administran 500 ml. La tasa de goteo requerida en gotas por minuto es de 21 gtt/min.
Tasa de goteo requeridaUsando esta fórmula
Tasa de goteo requerida=(ml administrado×gotas/mL)÷ (Número de horas×Número de minutos por hora)
Vamos a conectar la fórmula
Tasa de goteo requerida =(500 mL x 20 gtt/mL) ÷ (8 hrs. x 60 min)
Tasa de goteo requerida =10,000÷480
Tasa de goteo requerida = 20.8
Tasa de goteo requerida =21 gtt/min (Aproximadamente)
Por lo tanto, la tasa de goteo requerida en gotas por minuto es de 21 gtt/min.
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HELP QUICK PLEASE WILL GOVE BRAINLEOCMWdiowemforewmfo
Answer:
It's choice G or H
Step-by-step explanation:
The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.
The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.
The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!
What do large differences of the mean of each group indicate
The Actual Question:
What do large differences of the means of each group indicate? Select the correct answer.
A. The large differences do not indicate any Significant meaning in the given context.
B. The peppers with different weights aren't properly distributed between the two groups.
C. There is not enough information to analyze the differences.
D. The peppers with different weights are properly distributed between the two groups
Answer:
B. The peppers with different weights aren't properly distributed between the two groups.
What is a mean?
A quantity having a value intermediate between the values of other quantities; an average, especially the arithmetic mean.
The considerable discrepancies in the means of each group imply that: B. the peppers with varying weights are not adequately divided across the two groups.
So in the given situation above in the question, it can be concluded that large differences of the means from each group indicates that the peppers that are not properly distributed between the 2 different groups have different weights.
The length of a rectangle is 44 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the dimensions of the rectangle.
Answer:
18 inches by 80 inches
Step-by-step explanation:
The given relations can be used in conjunction with the Pythagorean theorem to find the rectangle dimensions.
__
setupLet x and y represent the width and length of the rectangle, respectively. One of the relations is that between length and width:
y = 2x +44 . . . . . length is 44 more than twice the width
The other relation is described by the Pythagorean theorem. The square of the diagonal is the sum of the squares of the length and width:
x² +y² = (y +2)²
__
solutionExpanding the second equation, and subtracting y², we find ...
x² +y² = y² +4y +4
x² = 4y +4
Substituting for y using the first equation gives the quadratic ...
x² = 4(2x +44) +4
x² = 8x +180 . . . . . . . eliminate parentheses
x² -8x +16 = 196 . . . . add 16 -8x to make perfect squares
(x -4)² = 14²
We're only interested in the positive solution, so ...
x = 4 +14 = 18 . . . . . . . . square root, add 4
y = 2(18) +44 = 80
The dimensions of the rectangle are 18 inches wide by 80 inches long.
_____
Check
The diagonal is √(18² +80²) = √6724 = 82.
Which pair of angles are vertical angles?
Answer:
Vertical angles are angles opposite of each other. hope it helps
5x -9=2y por suma y resta ecuacion
Find m angle angle KML
Answer:
52
Step-by-step explanation:
this is a triangle whose 2 sides are equalfirst take 180 which is the sum of interior angle minus 76 which is the angle givenyou will get 104 which is the other 2 anglesdivide by 2 since they are equal to get 52Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.
Lines Q, R, U, and T extend from point S from left to right. Angle R S T is a right angle.
Which statement is true about angles UST and QSR?
They are complementary.
They are supplementary.
They are congruent.
They are obtuse.
Answer:
Statement 1 is correct
Angles UST and QSR are complementary.
Step-by-step explanation:
Complementary angles are those angles whose addition gives result of 90°
Congruent angles are those angles which are equal to each other.we can say that there values are same.
Here angle RSU is complementary to angle UST.
Therefore there addition is equal to 90°
∠RSU + ∠UST = 90° - (i)
Here angle QSR is congruent to angle RSU.
It means ∠QSR =∠RSU -(ii)
From equation (i) and (ii)
∠QSR + ∠UST = 90°
So angles UST and QSR are complimentary angles.
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Answer: A. They are complementary.
Step-by-step explanation: RIGHT ON EDGE 2023
Competitive firms that earn a loss in the short run should
Competitive business firms that earn a loss in the short-run should shutdown if price (P) is lesser than average variable cost (AVC).
What is an average variable cost?An average variable cost (AVC) can be defined as the cost of production per unit item incurred by a business firm and divided by total output of production. Thus, it's calculated by dividing total variable cost (TVC) by total output of production.
As a general rule in Economics, competitive business firms that earn a loss in the short-run are advised to shutdown their production when price (P) is lesser than average variable cost (AVC).
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Need help with this pls and thank
U soo
Much
Answer:
post the question??
Step-by-step explanation:
Answer:
What are we helping y with
Step-by-step explanation:
write the quadratic equation whose roots are -3 and 3, and whose leading coefficient is 5
Answer:
5x²- 1.8
Step-by-step explanation:
roots are -3 and 3, put them in brackets
(x - 3)(x + 3)
x² + 3x - 3x - 9
x² - 9
5x = -9
x = -1.8
5x² - 1.8
just to check:
5x² - 1.8
x² - 9
(x - 3)(x - 3)
x = -3 and 3.