The average rate of change over the entire slide if the height of the slide is 2 feet is; -3.9
What is the average rate of change?
Average rate of change is defined as a measure of how much the function changed per unit, on average, over that interval.
First, we will calculate the average rate from x = 0 to x = 15:
We have:
R = ((80 - 10)/(0 - 15))
R = -4.667
Let us now calculate average rate of change for the entire interval supposing that the height of the slide is 2 feet,:
From x = 0 to x = 20, we have;
R = ((80 - 2)/(0 - 20))
R = -3.9
Thus, we can conclude that the average rate of change over the entire slide is; -3.9
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Answer:
slower than & -3.9
Step-by-step explanation:
Estimate the square root to the nearest tenth. √489
Answer: 22.1
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
The graph of an absolute value function has a vertex of (3, 6) and crosses the x-axis at (-3,0) and (9,0). What is the equation of the absolute value function?
The equation of the absolute value function is y = -|x - 3| + 6
How to determine the equation of the absolute value function?The given parameters are
Vertex = (3, 6)
Crosses the x-axis at (-3,0) and (9,0)
An absolute value equation is represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
y = a|x - 3| + 6
At (-3, 0), we have
0 = a|-3 - 3| + 6
This gives
0 = a|-6| + 6
So, we have
0 = 6a + 6
Solve for a
a = -1
Substitute a = -1 in y = a|x - 3| + 6
y = -|x - 3| + 6
Hence, the equation of the absolute value function is y = -|x - 3| + 6
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ITS RSM HELP ME I WILL GIVE BRAINLIEST
For the given function, we have that:
The domain is [-4,4].The zero is at (0,0).The function is positive if x < 0.The function is negative if x > 0.What is the domain of the function?The domain of a function is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this problem, the function is defined between x = -4 and x = 4, hence the domain is [-4,4].
What are the zeros of a function?
The zeros are the values of x for which f(x) = 0, that is, when it crosses the x-axis.
Hence, for this problem, the zero is at (0,0).
The function is positive when it is above the x-axis, and negative when it is below, hence:
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how do you write slope-intercept form of the equation of each line given the slope and y-intercept.
slope: -5/4
y-intercept: 4
Answer:
y = -5/4 x + 4
Step-by-step explanation:
Make sure the -5/4 is beside the x. It should not look like the x is on the bottom of -5/4 alongside of the 4.
Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.
Slope-intercept eq:
y = mx + b
You fill in slope where the m is. And you fill in the y-intercept for the b.
In your problem they gave you the slope: m = -5/4 and the y-intercept: b=4.
Fill the m and b in with the given numbers!
y = -5/4 x + 4
PLEASE HELP FAST
Which ordered pair is a solution to the system of inequalities?
Answer:
2. (-2, -3)...............
9. a flat shape with 4 straight sides where: all sides have equal length, and every interior angle is a right angle
It is square-shaped as it is 4-straight sides with equal length, and every interior angle is right angle.
Why do you use the term "right angle"?A right angle is defined as an angle in geometry and trigonometry that is exactly 90 degrees, or pi /2 radians, or one-quarter turn. The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal. An interior angle is a shape's internal angle. The closed shape with sides and vertices is a polygon. All of the inner angles of a regular polygon are equal to one another. For instance, a square has interior angles that are all exactly right angles, or 90 degrees. The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol is used to indicate a right angle.
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If I have a 107% in a class, and i get a 56% on a test, what will my grade in the class be?
Sorry if it's confusing, I messed up on a test and I'm kind of panicking.
Choosing Brainlyst!
Step-by-step explanation:
don't panic cuz u have still done u bestAnswer:
96.8 %
Step-by-step explanation:
not to bad
Someone please pick the correct answer (don’t guess)
Answer: it's 75
Step-by-step explanation:
acd= 165 bcd=90 165-90=75 therefore its a 75 degree angle
a cookie store is running a new special for their grand opening they charge $10 for any number of cookies between 1 and 10 they then charge $20 for any number of cookies between 11 and 20 lastly for orders over 20 cookies they charge $20 plus a fee of $0.50 for each additional cookie past $20
A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost
C) how much would a order of 25 cookies cost
D) what does the equation f(100)=60 mean in this context
Answer:A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost 20$
C) how much would a order of 25 cookies cost 22.5
D) what does the equation f(100)=60 mean in this context
Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(
Solve 8 + 2g = 11 for g. Explain.
Answer:
8+2g=11
1. subtract 8 from both sides
2g=3
2. Divide both sides by 2
ANSWER: g=1.5
A scientist created a scatter plot to represent the heights of four plants over time. Then, she found a line of best-fit to model the height in centimeters of each plant after x days. The equations of each trend line are given in the table.
Trend Line Equations
Plant
Equation of trend line
1
y = three-halves x + three-halves
2
y = 2 x + 1
3
y = one-half x + 3
4
y = three-halves x + 1
According to the trend line equations, which plants are growing at the same rate per day?
1 and 2
1 and 4
2 and 3
2 and 4
Reason:
Both have the same slope of 3/2, aka "three-halves".
The slope is the rate of change. It tells us how fast or slow a plant is growing. The larger the number, the faster the growth.
Recall that y = mx+b has,
m = slope
b = y intercept
Therefore, the slope is thee number just to the left of x.
which conversion factors are used to multiply to 18 cm/s to get meters per minute? select each correct answer.
The conversion factors are used to multiply to 18 cm/s to get meters per minute is 60s/1m.
What is conversion?The conversion procedure depends on the unique circumstances and the targeted goal. A rule, a contract, technical requirements, or other norms that have been made public may control this. The precision of the initial measurement must not be increased or decreased during some unit conversions from one system to another. Soft conversion is another name for this. It doesn't need altering the way the thing being measured is physically constructed.
A hard conversion or an adaptable conversion, on the other hand, could not be perfect equivalents. In the new system, it converts the measurement to practical and usable numbers and units. Sometimes it entails rearranging the item's parts significantly or changing its size.
18 cm/s means 18 cm in 1 second.
You must change 1 second into a minute and 18 cm into meters when converting 18 cm/s into meters per minute. 18 cm = 18/100 meters.
1 second = 1/60 minutes.
18/100 meters per 1/60 minutes
18/100÷1/60 = 18/100 ×60/1
= 18 ×(60/100) meters per minute
The factor is 60s/100cm, which is equivalent to 60s/1m
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Write an expression to represent the number of new tiles that an employee must add to an n*n square floor design to build the next design. let n represent the number of tiles along each edge of the square
Expression to represent the number of tiles that must be added = 4(n + 2) - 4
Each time a new square floor design is created, there are 8 more new tiles added. To make Designs 2 and 3, respectively, 8 and 16 more tiles were placed on Design 1 and Design 2, respectively.
Possible expressions are:
4n + 4
2(n + 2) + 2n
(n + 2)² - n²
n + n + n + n + 4
4(n + 2) - 4
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2 The circle below has a radius of 5 inches.
Find the circumference of the circle.
5 in
RES
it Rate
ertis
Answer:
C ≈ 31.42 in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 5 = 10π ≈ 31.42 in ( to 2 dec. places )
COLOR THEME
QQ ZOOM
5. Ms. Smith and Ms. Arceneaux are making tablecloths for their classrooms. They need
3
1
2-yards of material for each of the 2 smaller tables and 5 yards for each of the 2
4
2
larger tables. How much material did they need for the 4 tables?
Answer:
thanks for the points
Step-by-step explanation:
thanks once again
When solving the quadratic equation x^2-10x+9=0
by completing the square, which of the following equations is a step in the process ?
The quadratic equation x² - 10x + 9 = 0. = 0 by completing the square, which of the following equations is a step in the process
(x – 10)2 = 34
(x – 10)2 = 16
(x – 5)2 = 34
(x – 5)2 = 16
The equation that is come in the process of solving the quadratic equation by completing the square is (x - 5)² = 16.Given that
The quadratic equation x² - 10x + 9 = 0.To find
The equation that come in the process of solving this quadratic equation by completing square method.So, according to the question
We have
x² - 10x + 9 = 0.We have to solve that quadratic equation by completing square method.
So, we know that
In Completing square method, we have to convert this quadratic equation in square form.
So,
x² - 10x + 9 = 0.
Now, by multiplying both sides by the square of the x-coefficient, we get
x² - 10x + 9 + (-10/2)² = 0 + (-10/2)²
x² - 10x + 9 + (-5)² = 0 + (-5)²
Now, simplify it
x² - 10x + 9 + (-5)² = 0 + (-5)²
x² - 10x + 9 + 5² = 0 + 5²
x² - 2×5×x + 5² + 9 = 0 + 5²
∵ (a - b)² = a² - 2ab + b²
∴ (x - 5)² = x² - 10x + 5²
(x - 5)² + 9 = 25 [since (x² - 10x + 5² = (x - 5)²]
(x - 5)² = 25 - 9
(x - 5)² = 16
Answer:
The equation that is come in the process of solving the quadratic equation by completing the square is (x - 5)² = 16.To learn more about Completing square method, please click on the link:
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solve for x - please help.
Answer:
x =20°
Step-by-step explanation:
since both sides are equal
3x° = (5x-40°)
3x = 5x - 40°
CLT( collect like terms)
40°= 5x - 3x
40° = 2x
40°/2= 2x/2
20° = x
therefore x =20°
Graph the line y = x on graph paper.
a. Draw a slope triangle.
b. Rotate your slope triangle 90° around the origin to get a new
slope triangle. What is the new slope?
c. Write an equation of a line perpendicular to y = x.
Answer: To graph y = x is simple, it is a line that intercepts at 0, and goes up by 1/1, or 1 (rate of change)
Step-by-step explanation:
1. For C, it's simple, it is y = -x, since the negative reciprocal slope is usually perpendicular to the original number (if not able to convert to fractions, like 1, it's just the same whole number, but a negative).
2. For the "Rotate your slope triangle 90 degrees"; seems simple, which I think you should do a reciprocal of the number, and make it a negative, for ie. 3 is a slope, when changed, it becomes -1/3. so the new slope is a negative reciprocal.
HELP!!!! Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
4 over 6 = 20 over 30
Step-by-step explanation:
it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster
Create a verbal math expression (using words). (Your verbal expression must contain "a number" so that the algebraic expression contains a variable.)
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)
How to create Algebra Word problems?
Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;
(x + 5) * (x - 5)
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ANSWER THE QUESTION ASAP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
3pi
Step-by-step explanation:
all of the other ones are out of range
◄x
Find the product 3 2/5 x 5/3
The Mariana Trench is 11 km below sea level. The Japan Trench is 9 km below sea level. What is the difference of depths between them, and which trench is deeper?
2 km, and the Mariana Trench is deeper
−2 km, and the Japan Trench is deeper
20 km, and the Japan Trench is deeper
−20 km, and the Mariana Trench is deeper
The difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
What is the difference of depths between them, and which trench is deeper?
The given parameters are:
Mariana Trench = 11 km
Japan Trench = 9 km
The Mariana Trench is deeper because 11 is greater than 9
The difference between the depth is
Difference = 11 km - 9 km
Difference = 2 km
Hence, the difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
Joshua has five hundred and sixty eight apples his sister stole 412 of Joshua's apples how many apples does Joshua have now?
Answer:
156
Step-by-step explanation:
568-412=156
Answer:
Step-by-step explanation: 568-412=156
A calculator is allowed on this question.
Dominique traveled to France and used her American
bank card to withdraw x Euros (the currency used in
France) from a cash machine. Assume 1 Euro equals
$1.35. Her bank charged a 3% fee for the transaction.
Which expression represents the total number of
dollars that she was charged in terms of the number of
Euros, x, withdrawn from her account?
Answer: 1.03(1.35x)
Step-by-step explanation:
A minor league baseball team plays 94 games in a season. if the team won 16 more than twice as many games as they lost, how many wins and losses did the team have?
The number of wins is 68 ad losses is 26.
How to compute the value?Let the number of losses = l
Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16
Total games = 94
Therefore we will add the equation
l + 16 + 2l = 94
3l + 16 = 94
3l = 94 - 16
3l = 78
Divide
l = 78/3
l = 26
Losses = 26
Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68
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the accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency. a) describe the shape. b) how many modes does the histogram have?
A)- The distribution is skewed left.
B)- The histogram has one mode, at 74 to 76 years.
What is histogram?The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.
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A rental car company charges prices based on the number of days
you rent the car. If you only rent it for up to 4 days, it will cost a flat
fee of $50 plus $25 per day rented. If you rent it for more than 4
days, they only charge you a flat fee of $45 and $20 per day rented.
How much will you owe if you rent the car for 7 days?
Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge $185 if you rent the car for 7 days.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let us consider the number of days = x
The equation when number of days(x) <= 4,
⇒ $50 + $25x1 = y1
If the car is rented for more than 4 days, (x>4)
⇒ $45 + $20x2 = y2
Now, we are to calculate the rent for 7 days,
which equals,
y2 = $45 + $20x2
for x2 = 7,
y2 = $45 + $20 × 7
⇒ 45 + 140
⇒ $185
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what is the problem0.57+1.825
Answer:
2.395
Step-by-step explanation:
0.57+1.825 the answer is 2.395
The function defined by d = 50+3121-16² gives the height in feet of a cannonball t seconds after the
ball leaves the cannon.
1. What do the terms 50, 312t, and -16? tell us about the cannonball?
2. Use graphing technology to graph the function. Adjust the graphing window to the following
boundaries: 0
n
Here we have the quadratic function:
f(x) = 50 + 312*t - 16t²
The quadratic term:
- 16t²
Refers to the acceleration of the cannonball, in this case, caused by the gravitational force.
The linear term:
312*t
Refers to the vertical initial velocity of the cannonball (the velocity of the cannonball when t = 0)
The constant term:
50
Refers to the the initial height of the cannonball.
Now we want to graph between the boundaries "0 n", im not sure of what do you mean with that, so I will give the graph of the function in its whole domain, which can be seen below.
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