Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: (0,3)
x y
0 3
1 4
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
Help please !!!!!!!!!!
Answer:
$ 50,000
Step-by-step explanation:
Let her salary = x
\(8\dfrac{3}{4} *x=4375\\\\\dfrac{35}{400}*x=4375\\\\x=4375*\dfrac{400}{35}\\\\x = 125*400\)
Salary = $ 50,000
Please help Extra points and Mark as brainlessly
Answer:
Correct answer is M+3<12
Jogged 3 miles, can jog M more miles, but cannot go more than 12.
Simplify 3^2/2-4-7/5-4
Answer:
Step-by-step explanation:
Write each expression with a common denominator of 15 15 , by multiplying each by an appropriate factor of 1 1 . Tap for more steps... Multiply 173 17 3 and 55 ...
you have approximately 1/4 of tank of gas.your tank holds 20 gallons.how much gas do you have left? if you plan to fill the tank,how many gallons will you purchase? if gas cost $21/2 per gallon,how much will it cost you to fill up
Step-by-step explanation:
if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15
you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5
15 gallons*10.5 dollars=$157.5 for the final price
a bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles; a card is drawn from a well shuffled deck of 52 cards what; a card is drawn from a deck of 52 cards find the probability of drawing
The required probability of drawing a red marble from the bag and any specific card from the deck is 1/156.
There are 12 marbles in the bag, and 4 of them are red, so the probability of drawing a red marble is 4/12, or 1/3.
There are 52 cards in the deck, and the probability of drawing any specific card is 1/52.
This probability assumes that the events are independent, meaning that the outcome of one event does not affect the outcome of the other event.
In this case, drawing a marble from the bag and drawing a card from the deck are independent events, so their probabilities can be multiplied.
Therefore, the probability of drawing a red marble from the bag and any specific card from the deck is (1/3) x (1/52) = 1/156.
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Find the area and perimeter of the figure in the graph below
area =
perimeter rounded to the nearest tenth =
Answer:
The answer is 20
Step-by-step explanation:
When you take the height of the triangle (which is 4) you take that and divide it by 2 or multiply by 1/2 which gets you 2. Then you take the two bases of the trapizoid and add them up to get 10 and then you multiply the two from earlier by 10 to get 20.
Bradley and Melissa share $2,000 in the ratio 2:3. a. How much money did Bradley receive? b. How much money did Melissa receive. c. Melissa used her share as a down payment on a dining room set costing $1,500. What is the balance she owes on the dining room set? (Answer all 3 parts of the question.)
Answer:
a)800
b)1200
c)300
Step-by-step explanation:
2+3=5
2000/5= 400
Answer:
a=$800 . b=$1200 . c=$300
Step-by-step explanation:
2000/5=400
400x2=800
400x3=1200
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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Am eastern cotttentail rabbit and ferret weigh 7 lbs together. The ferret weighs 2 lbs more than the rabbit. Create a system of equations to represent the scanario. How much does each weigh. If the answer is not an integer write as a decimal.
Answer:
Step-by-step explanation:
The first equation is the weights of the rabbit and the ferret together which is
r + f = 7.
The second equation puts the weight of the ferret in terms of the rabbit. If the ferret's weight is 2 pounds more than the rabbit, then
f = r + 2 (the word "is" means equals). Since we know what f is equal to, we will sub it into the first equation and solve for r:
r + (r + 2) = 7 and
2r + 2 = 7 and
2r = 5 so
r = 2.5 pounds.
A rabbit weights 2.5 pounds and the ferret weights 7 - 2.5 which is 4.5 pounds.
I am stuck please help with this graph.
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
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Question 7 of 20:
Select the best answer for the question.
7. Percent means "per
O A. 100
OB. 1000
O C. 1
O D. 10
11
K
OMark for review (Will be highlighted on the review p
A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?
9514 1404 393
Answer:
3.08 hours
Step-by-step explanation:
We assume you're interested in the time in hours.
\(175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}\)
It will take 3.08 hours to travel 175 miles at that speed.
Need to know if the triangles are SSS,SSA,SAS,ASA
Answer:
both triangles are SAS
ITS SIDE ANGLE SIDE
Please HELP!
Given this graph of function f(x), find f (-2)
Answer:
4
Step-by-step explanation:
f(x) is just the y value for a given value of x
When x = -2 y = 4
f(-2) = 4
If a = 17, what is 18a - 89 ?
Answer: 18(a)-89=217
Step-by-step explanation:
If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.
Hope this helped.
Answer:217
Step-by-step explanation:
putting the value of a in the equation.
18×17-89= 217
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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In 2010, the population of Houston, Texas, was 2,099,451. In 2017, Houston's population was estimated to be 2,312,717. What is the estimated annual growth rate of Houston's population?
Answer:
it 10:579
Step-by-step explanation:
it is the anser
Given f(x) = 1/x+4 and
g(x) = 8/x-1, find the given domain of f(g(x)).
Answer:
he domain of the composition is all real x values except for x = -1
In other words: \(\left \{ x \, |\, x \neq -1} \right \}\)
Step-by-step explanation:
Let's find the composition \(f(g(x))\) in order to answer about its domain (where on the Real number set the function is defined), give the two functions:
\(f(x)= \frac{1}{x+4}\) and \(g(x)=\frac{8}{x-1}\) :
\(f(g(x))=\frac{1}{g(x)+4} \\f(g(x))=\frac{1}{\frac{8}{x-1} +4} \\f(g(x))=\frac{1}{\frac{8+4(x-1)}{x-1} }\\f(g(x))=\frac{x-1}{8+4x-4} \\f(g(x))=\frac{x-1}{4+4x} \\\)
This rational function is defined for every real number except when the denominator adopts the value zero. Such happens when:
\(4+4x=0\\4x=-4\\x=-1\)
So the domain of the composition is all real x values except for x = -1
How many solutions will there be for a quadratic equation of the form ax2 + bx+c = 0 if the discriminant, b2 - 4ac, is negative?
1.)There will be two complex solutions.
2.)There will be one real solution.
3.)There will be two real solutions.
3.)There will be no solutions.
what is the equivalent fraction of 13%
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?
a = 3
a = 8
a = 18
a = 33
Answer:
Its C on edge
Step-by-step explanation:
edge2021
Answer:
a=18
Step-by-step explanation:
edge2021
A projectile is fired straight up from ground level. After t seconds, its height above the ground is s feet, where s= - 16t² + 128t
For what time period is the projectile at least 192 feet above the ground?
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. For the time period between (and inclusive of)
(Simplify your answers.)
OB. For the time period between (and not inclusive of)
(Simplify your answers.)
seconds and
seconds and
seconds the projectile will be at least 192 ft above the ground.
seconds the projectile will be at least 192 ft above the ground.
For the time period of the projectile at least 192 feet above the ground is between 2 second and 6 second
Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:
16t2-128t+192=0 or, simplified, 8t2-64t+96=0
or t2-8t+12=0
since it is now in quadratic form, we can solve using the quadratic formula:
t = 2 and 6
So the time period from approximately 2 second and 6 second has the projectile above 192 feet.
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Which of the following rational functions is graphed below?
The rational function f(x)= x/x+3 is graphed in the figure.
What is rational function?
A rational function is the function which can be expressed in terms of the ratio of p and q.
f(x)= p(x)/q(x)
From the given graph , the vertical asymptote is at x=-3
Now, let's find out the vertical asymptote of each function
In order to find out vertical asymptote, we set the denominator =0
a. f(x)= x/(x+3)
x+3=0
x=-3
b. f(x)= x-3/x
x=0
c. f(x)= x/3
3≠0
d. f(x)= 3/x
x=0
The first function has vertical asymptote at x=-3.
Hence, the first option f(x)= x/x+3 is graphed in the figure.
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No idea how to do this, help would b great!
A direct variation includes the points (16.2, 17.82) and (n, 11.22) find n
N=_____
\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies with "x"}}{y=kx}\qquad (\stackrel{x}{16.2}~~,~~\stackrel{y}{17.82})\qquad \implies 17.82=k(16.2) \\\\\\ \cfrac{17.82}{16.2}=k\implies 1.1=k\hspace{5em}\boxed{y=1.1x} \\\\\\ (n~~,~~11.22)\qquad \implies \qquad \textit{when y = 11.22, what is "x"?} \\\\\\ 11.22=1.1x\implies \cfrac{11.22}{1.1}=x\implies {\Large \begin{array}{llll} 10.2=x=n \end{array}}\)
three consecutive number add up to 21.what are they?
Answer: 6, 7, 8
Step-by-step explanation:
Let the middle number = x. Then, the three consecutive numbers are x-1, x, and x+1.
We can now set up an equation.
x - 1 + x + x + 1 = 21
3x = 21
x = 7.
Therefore, the three consecutive numbers are 6, 7, 8.
Please please help please help me help help me please help me
Answer:
\(m = \frac{6 - 5}{4 - 1} \\ \color{green} \boxed{m = \frac{1}{3} }\)
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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