The curve of best fit is an illustration of a quadratic regression
The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet
How to determine the equation of the curve of best fit?To determine the equation of the curve of best fit, we make use of a graphing calculator
Using the graphing calculator, we have the following calculation summary
a = -17/18b = 17/3c = 2The equation of the curve of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
Substitute the values for a, b and c.
So, we have:
[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]
After 6 seconds, the value of x is 6.
So, we have:
[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]
Evaluate
[tex]y = 2[/tex]
Hence, the height of the frog after 6 seconds is 2 feet
Read more about curve of best fit at:
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All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?
What angle is this?
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f(x) 0 2 4 6 8 a. Exponential; y = 1 (1.2) Superscript x c. Exponential; y = 2 (1.1) Superscript x b. Linear; y = 2x d. Linear; y = x
Answer:
Its B
Step-by-step explanation:
If you look at how the chart is flowing, the y values are 2 times the x value.
for example,
1x2=2
2x2=4
3x2=6
and
4x2=8
Therefore, the equation is linear and y=2x
Answer:
b. Linear; y = 2x
Step-by-step explanation:
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
Answer:
first option is correct
look at given picture
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for I and round your final answer to the nearest hundredth.
units
Answer:
Volume of the given sphere = 4.19 units³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
From the picture attached,
Radius of the sphere 'r' = 1 unit
Volume of the given sphere = [tex]\frac{4}{3}\pi (1)^3[/tex]
= [tex]\frac{4}{3}\pi[/tex]
= [tex]\frac{4}{3}(3.14)[/tex]
= 4.187
≈ 4.19 units³
What’s the answer to this problem
Answer:
2
Step-by-step explanation:
It’s not real
Drag and drop the range of each data set into the boxes.
Data Set 1
х
Data Set 1
Data Set 2
х
X
х
Range:
Х
Х
X
х
х
+
2.
+
3
+
4
+
5
+
6
+
7
+
8
1
9
3
4.
6
7
Data Set 2
х
х
х
Х
х
Х
Х
х
Х
+
+
5
+
7
Attivate Windows
G&o Settags to activate Windows
1
2
3
4
6
Answer:
20 and 25
Step-by-step explanation:
The solution is, The mode and median are 7.
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
From the given dot plot, we can find the values.
Each X symbol corresponding to a number in the horizontal axis represents a value.
So, the data set can be written as,
3, 6,6,6,6,6,6,6, 7,7,7,7,7,7,7,7, 8,8,8,8,8,8, 9,9,9, 10,10
An outlier is value that lies outside the other values in the given data.
7 is a value which is close to the other values in the data set.
Hence, 7 is not an outlier.
Therefore, the statement "there is an outlier at 7 " is incorrect.
The total number of values can be found by counting the numbers in the data set after aarranging it in numerical order.
The total number of values in the data set is N=27.
The median is the middle value in a given data set.
Since N is odd, the position of the median is
median = 14
Since 7 is the 14 th value in the data set, the median is 7.
Mode is the value which repeats frequently in the given data set.
Since 7 is the most repeated value in the data set, 7 is the mode of the data set.
Hence, the statement "The mode and median are 7" is correct.
The range of a data set is the difference between the highest and the lowest values in the data set.
Hence, the range of the given data set is,
Hence, the statement " The range of the given data set is 10" is incorrect.
A dot plot is positive skewed if majority of the data is located to the right of the plot. The given dot plot is not positively skewed.
Hence, the statement " The data shows a positive skew" is incorrect.
Final Answer:
The mode and median are 7
To learn more on median click:
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Which of the following functions translates the graph of the parent
function f(t) = x² horizontally left 6 units?
Answer:
shawty us bad with the scratchers in
The cost of boring a tube well 600 meter deep is as follows 25 paisa for the first metre and an additional 4paisa for every subsequent meter find the cost of boring a 500th meter long
State if the three numbers can be the measures of the sides of a triangle.
5, 12, 10
Yes or No
Answer:
yes
Step-by-step explanation:
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Answer: B: 140.4
Step-by-step explanation:
Please help me with my math!
Answer:
I believe it's A. but that's just what I think sorry I can't really back it up much
The answer is the third option, because the range is -6 and the third option says its greater than or equal to -2.
Answer the question please and no links. Please explain too.
Answer:
(20,5)
Step-by-step explanation:
The line is proportional making the answer equivalent.
Answer:
(20,5)
Step-by-step explanation:
20,5=4,1
two three digit numbers are formed using the same integers and then when they are added they form another three digit number with the same integers find the added number
Answer:
I just cannot find it, so I appologize to the author. ... 2. Sum of all the numbers which can be formed by using the digits (repetition being ... Same is true for the other two digits. ... One more tip: when we add up all the numbers, we can start with the ... (1+5+8)/3 * 111 - another way to write 3-digit number formed from "average
Step-by-step explanation:
63
Which expression is not equivalent to
66
A
62
B
1
216
1
D
Answer:1216
Step-by-step explanation:
It’s to big and if this helps plz but a brainly :)
13 and 14 pls help :))
Answer:
1st and 2nd options
Step-by-step explanation:
Using the method of completing the square to obtain standard form
(13)
Rearrange the given equation so x and y terms are together, that is
x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )
x² + 24x + y² + 30y = - 353
To complete the square
add ( half the coefficients of the x/ y term)² to both sides
x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225
(x + 12)² + (y + 15)² = 16
(x + 12)² + (y + 15)² = 4² ← in standard form
with centre = (- 12, - 15 ) and radius = 4
---------------------------------------------------------------------
(14)
As in number 13
x² - 22x + y² + 16y = - 181
Complete the square
x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64
(x - 11)² + (y + 8)² = 4
(x - 11)² + (y + 8)² = 2² ← in standard form
with centre = (11, - 8 ) and radius = 2
Can someone please help me with this i don't understand the way my teacher explained it
Answer:
I dont even understand that and im in 8th grade lol
Answer:
7,476 would be your answer because
62,300 divided by 3% is 1,869
and 1,869 times 4 is 7,476
Step-by-step explanation:
solve for x
1/4 x^3 = -27/4
do u still need the answer or no cuz its kinda long
used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
230 ft
Step-by-step explanation:
50 points plzz help Combine the radicals .
Answer:
D) [tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]
x - 10.2 > 5.3
PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...
Answer:
x>15.5
Step-by-step explanation:
x - 10.2 > 5.3
Add 10.2 to both sides
x-10.2+10.2>5.3+10.2
Simplify getting the answer of
x>15.5
Two students spent the same amount of
money on their lunches and got the same
number of toppings. One bought a steak
burger and paid $3.80 plus $0.40 for each
topping. The other bought a hamburger
and paid $3.20 plus $0.60 for each
topping. How many toppings did each
student get?
0.60-0.40=0.20
3.80-3.20=0.60
0.60 divided by 0.20=3
Hence, each student got 3 toppings each.
hope it helps:))
Use the circle below to find the correct value of x:
Answer:
113°
Step-by-step explanation:
Measure of central angle is equal to the measure of its corresponding arc.
Here, x is the measure of the central angle and 113° is the measure of its corresponding arc.
Therefore, x = 113°
Erica had 30 dollars to spend on 3 gifts. She spent 10 7 10 dollars on gift A and 6 2 5 dollars on gift B. How much money did she have left for gift C?
PLZ HELP
I'm stuck on this :
Answer:
She went over her amount of money on her first two gifts so she has no money left for gift C.
Step-by-step explanation:
Gift A = 10 + 7 + 10 = 27
Gift B = 6 + 2 + 5 = 13
27 + 13 = 40
She went over her amount of money on her first two gifts so she has no money left for gift C???
Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?
Help this is due in 2 minutes
Answer:
6% growth
Step-by-step explanation:
The equation =
A = 2300(1.06)⁷
What does 0.06 represent in the equation?
The formula for Exponential growth =
y = a (1 +r)^t
Where
y = Size after time t
a = Initial size
r = Growth rate in Percentage
t = Time t
Equating both Equations together
y = a (1 +r)^t = A = 2300(1.06)⁷
1 + r = 1.06
r = 1.06 - 1
r = 0.06
Converting to percent
r = 0.06 × 100
r = 6% growth rate
Please help me out :D
Answer:
384 cubic inches
Step-by-step explanation:
For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.
We are given length = 12 inches
We are given width = 8 inches
We are given tall(height) = 4 inches
So let's Calculate the volume.
Volume = Length * Width * Height
Volume = 12 inches * 8 inches * 4 inches
Volume = 384 cubic inches
Hence, the volume of the box is 384 cubic inches.
Cheers.
The graph represents the piecewise function:
I just need to drag the degrees to their corresponding parts attached (Angles in Circles) please help I don’t which ones would be correct
9514 1404 393
Answer:
DF = 75°FBE = 105°FC = 60°CBE = 45°DAC = 225°ABE = 135°AFE = 225°ABF = 120°Step-by-step explanation:
AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.
angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°
angle ABD = 45°
angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.
angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.
angles FBC and CDE add to make angle FBE, so that angle is ...
angle FBE = 60° +45° = 105°