The equation would be: y = 3 + x
To include the terms you mentioned, we can set up an equation to represent the relationship between the number of weeks Stacy volunteers (x) and the number of cards she has (y).
Since Stacy starts with 3 collector's cards and receives 1 more card each week she volunteers, the equation would be:
y = 3 + x
In this equation, x represents the number of weeks Stacy volunteers, and y represents the total number of collector's cards she has.
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In an online survey, 78% of teens between the ages of 13 and 18 said they own a cell phone. How many teens own cell phones in a class of 250 students?
Answer:
195
Step-by-step explanation:
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
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Estimate
19.7 divided by 0.0485
Answer: 19.7 divded by 0.0485 is about 400 when estimated.
Step-by-step explanation:
1. 19.7 rounded to nearest whole number is 20. 0.0485 rounded to nearest hundredth is 0.05.
2. 20 divided by 0.05 is 400.
400x0.05=20 (if you wanted to check)
Help Me! ASAP! What is the slope of the line?
Answer:
slope is 2
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
2
Step-by-step explanation:
The answer and explanation is in the picture.
Let R(t) be a differentiable function that represents the rate at which people leave a restaurant in people per hour after 6 hours since opening.
Based on the information you provided, R(t) is a differentiable function that represents the rate at which people leave a restaurant in people per hour after 6 hours since opening. In other words, R(t) describes the speed at which customers are leaving the restaurant as time goes by.
It's important to note that R(t) is only a function of time t, and not a function of the number of people currently in the restaurant or any other variables. This means that if the restaurant is empty at 6 hours since opening, R(t) will give you the rate at which people leave the restaurant from that point forward, regardless of whether there are any customers in the restaurant or not.
In terms of the restaurant's function, R(t) is a key component in understanding how many customers the restaurant is likely to have at any given time. By subtracting R(t) from the restaurant's initial capacity (i.e. the number of seats or tables available), you can estimate how many customers are likely to be in the restaurant at any given time.
Overall, R(t) is a powerful tool for understanding the behavior of customers in a restaurant and can help the restaurant make informed decisions about staffing, marketing, and other aspects of their business.
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How to find the Focus directrix and the lanth of the latus rectum of the equation below
Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.
Answer:
Step-by-step explanation:
120 percent,
because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent
*Or 120 percent, I dont know though*
Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the phrases below to explain how to use positive or negative integers to represent income and expenses. You would use positive integers to represent income because it is a Choose... amount. You would use negative integers to represent expenses because they are opposites of income.
Answer and explanation:
When you use positive interger to represent income, it shows that there has been an addition instead of a subtraction in money value to the business. In other words money is coming in instead of going out. Example when there is profit on goods sold say $10, it is indicated with a positive integer 10 to indicate addition in terms of operating income
When you use a negative value to represent expense, it indicates there has been a subtraction instead of an addition in money value. In other words money is going out of the business and not coming in. Example when there is a transportation expense to convey goods to the buyer, it is recorded as expenses subtracted from say revenue sales of the business. expenses are usually indicated in brackets in accounting to show negative value, although not a requirement since they are already named and recognized as expenses and subtracted regardless
Plzzz help ASAP find the value for x
Answer:
x = 50
Step-by-step explanation:
The base angles of an isosceles triangle are the same
The unmarked angle is also x
The sum of the angles of a triangle is 180
x+x+ 80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80 = 180-80
2x = 100
Divide by 2
2x/2 = 100/2
x = 50
PLEASE HELP WITH THIS QUESTION ILL GIVE BRAINLIEST !!!
Answer: linear pair
Step-by-step explanation:
Because ce is shown to be bisected by line n, then the two expressions are added and will equal 180°. This is what is called a linear pair.
Consider the following inequality.x + 3 > 6Step 1 of 2: Write the solution using interval notation.
Recall that the inequality x>b in interval notation is:
\((b,\infty).\)Subtracting 3 to the given inequality we get:
\(\begin{gathered} x+3-3>6-3, \\ x>3. \end{gathered}\)Which in interval notation is:
\((3,\infty)\text{.}\)Answer:
\((3,\infty).\)help help help guys HELP
Slope can be described as rise/ run, change in the dependent variables relative to the change in the independent variables and Δy / Δx.
How to find the accurate expression of the slope?The slope of a line is a number that describes both the direction and the steepness of the line.
The slope of a line is the change in y coordinate with respect to the change in x coordinate.
Therefore, slopes can be described as follows:
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What is 1.625 rounded to the nearest tenth.
Answer:
1.6
Step-by-step explanation
2 is les than 5 so you round down
Use the work shown below to find the simplified product
Given:
The expression is:
\(\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}\)
To find:
The simple product.
Solution:
We have,
\(\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}\)
It can be written as:
\(=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}\)
Cancel out the common factors.
\(=\dfrac{5\times x}{x+3}\)
\(=\dfrac{5x}{x+3}\)
Therefore, the correct option is C.
. Let g(x) = 3 +3 2+2 (a) Evaluate the limit. lim g(x) = lim 2-4 2-4 (x + 2)(x+3) (b) Choose all correct statements regarding the form of the limit. 2 2+3 2+2 lim 2-4 2-4 Choose all correct statements. The limit is of determinate form. The limit is of indeterminate form. The limit is of the form The limit is of the form , and h(x) = x - 4. ✓ Correct ? ?
(a) The limit of g(x) as x approaches 4 is 5/42.
(b) The limit lim x->4 (2/(x+3)) - (1/(x+2))/(x-4) is of the form 0/0.
The given problem involves evaluating the limit of the function g(x) as x approaches 4 and analyzing the form of the limit.
Let's address each part separately:
(a) To evaluate the limit lim g(x) as x approaches 4, we substitute x = 4 into the expression of function g(x) and compute the result:
lim g(x) x->4 = lim (2/(x+3)) - (1/(x+2)) x->4 = 2/(4+3) - 1/(4+2) = 2/7 - 1/6 = (12 - 7)/42 = 5/42.
Therefore, the limit of g(x) as x approaches 4 is 5/42.
(b) Now, let's consider the limit lim x->4 (2/(x+3)) - (1/(x+2))/(x-4) and determine the form of the limit.
The limit is of the form 0/0.
This form is called an indeterminate form because it does not provide enough information to determine the value of the limit.
It could evaluate to any real number, infinity, or not exist at all.
Further analysis, such as applying L'Hôpital's rule or algebraic manipulations, is needed to evaluate the limit.
To summarize, the limit lim g(x) as x approaches 4 is 5/42, and the limit lim x->4 (2/(x+3)) - (1/(x+2))/(x-4) is of the form 0/0, indicating an indeterminate form that requires further investigation to determine its value.
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The complete question is:
Let g(x) = (2/(x+3))-(1/(x+2)), and h(x)= x-4
(a) Evaluate the limit.
lim g(x) x->4= lim x->4 ?/(x + 2)(x+3)=?
(b) Choose all correct statements regarding the form of the limit.
lim x->4 (2/(x+3))-(1/(x+2))/(x-4)
Choose all correct statements.
The limit is of determinate form.
The limit is of indeterminate form.
The limit is of the form 0/0.
The limit is of the form #/0.
1:rosalie is refinishing her basement. 4m by 6m are the dimentions of rosalies rectangular basement.how much tile would she need to cover the floor? 2: if the hight of the basment is 7m,how much wall area is there to paint? first answer is 24m
Answer:
24m tile for the floor and the 28+28+42+42=140m^2
Step-by-step explanation:
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The product of -6 and a number
Answer:
-6x
Step-by-step explanation:
This is correct because an unknown product is always classified as a variable or a most common used one, X. The product of -6 with an uknown variable, also known as a number, is -6x. Hope this helped and have a Great Day!!!
please answer it properly no one even answer my questions ;(
Answer:
2=750
Step-by-step explanation:
2500 divide by 10 and ans * 3
Answer:
2.750
Step-by-step explanation:
you times 2500 by 3 divide by 10
a spinner has 8 equal sections,6 are green .find probability that will land on green
Answer:
P(A) and P(B) = P(A) x P(B)
P(A) = number gray/total number of sections = 6/8 = 3/4
P(B) = number of reggae songs/total number of songs = 2/8 = 1/4
P(A) and P(B) = (3/4)(1/4) = 3/16
Step-by-step explanation:
Answer: 3/4 (0.75)
Step-by-step explanation:
6 out of 8 sections are green.
So there is a 6/8 probability that it will land on green.
6/8 = 3/4.
Find the equation of the line(s) normal to the given curve and with the given slope. (I have seen this problem posted multiple times, but each has a different answer.)
y=(2x-1)^3, normal line with slope -1/24, x>0
The equation of the line(s) normal to the curve y = (2x - 1)^3 with a slope of -1/24 and x > 0 is y = 12x - 6 - (1/6)i.
To find the equation of the line(s) normal to the curve y = (2x - 1)^3 with a slope of -1/24, we can use the properties of derivatives.
The slope of the normal line to a curve at a given point is the negative reciprocal of the slope of the tangent line to the curve at that point.
First, we need to find the derivative of the given curve to determine the slope of the tangent line at any point.
Let's find the derivative of y = (2x - 1)^3:
dy/dx = 3(2x - 1)^2 * 2
= 6(2x - 1)^2
Now, let's find the x-coordinate(s) of the point(s) where the derivative is equal to -1/24.
-1/24 = 6(2x - 1)^2
Dividing both sides by 6:
-1/144 = (2x - 1)^2
Taking the square root of both sides:
±√(-1/144) = 2x - 1
±(1/12)i = 2x - 1
For real solutions, we can disregard the complex roots. So, we only consider the positive root:
(1/12)i = 2x - 1
Solving for x:
2x = 1 + (1/12)i
x = (1/2) + (1/24)i
Since we are interested in values of x greater than 0, we discard the solution x = (1/2) + (1/24)i.
Now, we can find the y-coordinate(s) of the point(s) using the original equation of the curve:
y = (2x - 1)^3
Substituting x = (1/2) + (1/24)i into the equation:
y = (2((1/2) + (1/24)i) - 1)^3
= (1 + (1/12)i - 1)^3
= (1/12)i^3
= (-1/12)i
Therefore, we have a point on the curve at (x, y) = ((1/2) + (1/24)i, (-1/12)i).
Now, we can determine the slope of the tangent line at this point by evaluating the derivative:
dy/dx = 6(2x - 1)^2
Substituting x = (1/2) + (1/24)i into the derivative:
dy/dx = 6(2((1/2) + (1/24)i) - 1)^2
= 6(1 + (1/12)i - 1)^2
= 6(1/12)i^2
= -(1/12)
The slope of the tangent line at the point ((1/2) + (1/24)i, (-1/12)i) is -(1/12).
To find the slope of the normal line, we take the negative reciprocal:
m = 12
So, the slope of the normal line is 12.
Now, we have a point on the curve ((1/2) + (1/24)i, (-1/12)i) and the slope of the normal line is 12.
Using the point-slope form of a line, we can write the equation of the normal line:
y - (-1/12)i = 12(x - ((1/2) + (1/24)i))
Simplifying:
y + (1/12)i = 12x - 6 - (1/2)i - (1/2)i
Combining like terms:
y + (1/12)i = 12x - 6 - (1/24)i
To write the equation without complex numbers, we can separate the real and imaginary parts:
y = 12x - 6 - (1/12)i - (1/12)i
The equation of the normal line, in terms of real and imaginary parts, is:
y = 12x - 6 - (1/6)i.
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A book has 276 pages amina had read 1/3 of the book how many pages are left for amina to read
If a book has 276 pages and Amina had read 1/3 of the book, then 184 pages are left for Amina to read.
If a book has 276 pages and Amina has already read 1/3 of the book, we need to find out how many pages are left for her to read. To calculate the number of pages Amina has already read, we can multiply the total number of pages by the fraction she has read:
1/3 x 276 = 92 pages
Therefore, Amina has already read 92 pages of the book.
To determine how many pages are left for Amina to read, we subtract the number of pages she has already read from the total number of pages:
276 - 92 = 184 pages
So, there are 184 pages left for Amina to read in the book.
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how to make a square with 50px sides tracy
To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.
A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.
Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.
Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.
Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.
Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.
By following these steps, you have successfully created a square with 50px sides.
In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.
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a b and c or centers of three circles. select all the segments that are congruent to ab.
HF
HA
CE
CD
BD
BF
Answer:
HA,BD,BF
Step-by-step explanation:
BD, BF, HA, and CE are congruent to AB.
Given,
The figure shows that we have three circles and A, B, and C are the centers of the circles.
We need to find which of the following given options are congruent to AB.
What is a circle?A circle has a radius r and a diameter.
Diameter = 2r
The radius is all congruent from any point on the surface of a circle.
We have,
From the figure,
AB = radius of the circles.
HF - It is the diameter of the circle.
HA - It is the radius of the circle.
CE - It is the radius of the circle.
CD - It is not a radius nor a diameter of the circle.
BD - It is the radius of the circle.
BF - It is the radius of the circle.
We see that BD, BF, CE, and HA are the radius of the circle.
Thus BD, BF,HA, and CE are congruent to AB.
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Each set of coordinates forms a rectangle. Find the length of the base and height. Find the area. Find the perimeter.
H(10,7) I(10,-4)
J(15,-4) K(15,7)
To find the length of the base and height, we need to find the difference in the x-coordinates and the y-coordinates of the opposite corners of the rectangle. The length of the base is found by subtracting the x-coordinate of point H from the x-coordinate of point J, which is 15 - 10 = 5. The height is found by subtracting the y-coordinate of point I from the y-coordinate of point K, which is 7 - (-4) = 11.
The area of the rectangle is found by multiplying the length of the base by the height, which is 5 * 11 = 55.
The perimeter of the rectangle is found by adding up the lengths of all four sides, which is 2 * (5 + 11) = 2 * 16 = 32.
Answer:
Given coordinates, the length of the base can be found by subtracting the x-coordinates of two opposite vertices. In this case, it would be (15 - 10) = 5 units.
The height can be found by subtracting the y-coordinates of two opposite vertices. In this case, it would be (7 - (-4)) = 11 units.
The area of a rectangle is found by multiplying the length and height. In this case, it would be 5 * 11 = 55 square units.
The perimeter of a rectangle is found by adding up the lengths of all four sides. In this case, it would be 2 * (5 + 11) = 32 units.
Any help on this please?
Answer:
18
Step-by-step explanation:
1:14
x:252
252/14= 18
During the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute. The next day, the group hiked 8.6 miles in 3 hours and 47 minutes. What was the group's average speed over the two days? Answer as a decimal rounded to the nearest tenth.
Answer:
2.79 mi/hr ( for the time they were actually moving)
Step-by-step explanation:
average speed = total distance / total time
= ( 10.4 + 8.6 mi) / ( ( 181 + 227 min )/60 min/hr) =2.79 mi/hr
EVALUATING EXPI
Evaluate the expression below
when g = 10
6g²
Answer:
600Step-by-step explanation:
Expression given:
6g²Find its value when g = 10:
6g² = 6(10²) = 6(100) = 600Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7).
Answer:
3.4
Step-by-step explanation:
difference between q(t) = qmax e^ -t/rc and q(t) = cv (1-e^-t/rc)
The main difference between q(t) = qmax e^ -t/rc and q(t) = cv (1-e^-t/rc) is in their mathematical form and physical interpretation.
The first equation, q(t) = qmax e^ -t/rc, represents the discharge of a capacitor in an RC circuit, where qmax is the maximum charge that the capacitor can store, t is the time elapsed since the circuit was closed, r is the resistance in the circuit, and c is the capacitance of the capacitor.
This equation describes an exponential decay of the charge on the capacitor over time, with a time constant of rc.
The second equation, q(t) = cv (1-e^-t/rc), represents the charging of a capacitor in an RC circuit, where cv is the initial voltage across the capacitor, t is the time elapsed since the circuit was closed, r is the resistance in the circuit, and c is the capacitance of the capacitor. This equation describes an exponential increase of the charge on the capacitor over time, with a time constant of rc.
Therefore, the main difference between the two equations is that one describes the discharge of a capacitor, while the other describes the charging of a capacitor.
Additionally, the equations have different mathematical forms and use different variables, even though they both involve the time constant rc.
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what is the area of this trapezoid?
Answer:
\(7.5\:\text{square units}\)
Step-by-step explanation:
The area of a trapezoid is given by the average of the bases multiplied by the height.
What we're given:
Height of 3Bases of 1 and 4The average of the bases 1 and 4 is equal to \(\frac{4+1}{2}=\frac{5}{2}=2.5\)
Therefore, the area of the trapezoid is \(2.5\cdot 3=\boxed{7.5\:\text{square units}}\)
Answer:
30 units²
Step-by-step explanation:
this ones kinda tricky but basically you need to dilate it all by 2 (to make the figure twice as big)
technically, it would be 7.5 units bc but bc of the dilation it'd be 30