The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answers
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
Related Questions
please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
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Answer:
your answer is up there
Step-by-step explanation:
Sorry for not being some help i really am Red Riot out
10. What is the length of s?
I
450
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which of theses three numbers is the largest 4.187 or 4.2 or 4.099
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What are the scale factor and center of dilation?
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Answer:
Step-by-step explanation:
HELP ASAP DUE SOON!!
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Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A laptop computer is normally $1300 but is discounted to $988. What percent of the original price does Charles pay?
Answers
Answer:
Step-by-step explanation:
Your answer
24% discount.
Pays a total of 76 % cost
Mark it as Brainlist. Follow me for more answer.
Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6
Answers
Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
Find BC to the nearest tenth. Does anyone know how to do this? I rlly need it now pls.
Answers
9514 1404 393
Answer:
41.4
Step-by-step explanation:
The Law of Cosines tells you ...
a² = b² +c² -2bc·cos(A)
where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...
a² = 30² +26² -2·30·26·cos(95°)
a² ≈ 1711.96
a ≈ √1711.96 ≈ 41.38
The length of BC is about 41.4 units.
Two equations that would have a solution of (3,6)
Answers
Answer:
[tex]1) y=2x\\2) y=x+3[/tex]
Step-by-step explanation:
[tex]1) y=2x\\2) y=x+3[/tex]
Hope I helped!
Check out my profile for more answers!
Find the slope!!
and quick
Answers
Answer:
they are doing a multiples of -8
Answer:
The answer is - 8
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8[/tex]
The following circular sign is hanging up at ODMS. The diameter of the circle is 20 inches. Which measurement is closest to the area of the circle?
a
1256 in2
b
31.4 in2
c
62.8 in2
d
314 in2
Answers
Hellppppp plzzzzzzzz
Answers
b) 11/37
c) 34/37
d) 9/37
25.5125 como lo conmvierto a sexigesimal
Answers
25.5125 = 25 + 5125 / 10⁴ = 25 + 41 / 80
(41 / 80) / 60⁻¹ = 2460 / 80 = 123 / 4 = 30.75
30.75 = 30 + 75 / 10² = 30 + 3 / 4
(3 / 4) / 60⁻² = 180 / 4 = 45
→ 25.5125₁₀ = [25].[30][45]₆₀
In a series of operations without grouping symbo,multiplication and division are performed first TRUE or FALSE?
Answers
Answer:
TRUE
Step-by-step explanation:
P.E.M.D.A.S
parenthesis
exponents
multiplication
division
addition
subtraction
help me with this answer please !
Answers
Answer:
pick number 3 I think that's the one
Please help the problems are in the picture provided below.
Answers
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
Can someone help me with this please?
Answers
Answer:
Classify by angles: Equiangular
Classify by sides: Equilateral
Step-by-step explanation:
An equiangular triangle has angles that all measure 60 degrees. An equilateral triangle is a triangle that has sides will all of the same lengths. This triangle meets both of these requirements.
Hope it helps!
Find the slope of the line.
a.-7
b.7
c.-1
d.1
Answers
Answer:
(-1)
Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.
Answer:
d.1
Step-by-step explanation:
For this question, use change in y value from one point to another over change in x value from one point to another.
A function is given:
f(x) = 3x + 12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
Answers
Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
Hey guys I need your help on this!!
Answers
Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
The diameter of a circle is 54 cm. Calculate the circumference of the circle.
Answers
c=2πr=2*π*27= 169.646
Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH
Answers
Answer:
(1,-1)
Step-by-step explanation:
Find the middle between the two points:
4 to -2=6, so the middle would be 3
4-3=1
-8 to 6=14, so the middle would be 7
-8+7=-1
Answer:
[tex]\displaystyle (1,-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point G(4, -8)
Point H(-2, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{4-2}{2},\frac{-8+6}{2})[/tex][Fraction] Subtract/Add: [tex]\displaystyle (\frac{2}{2},\frac{-2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (1,-1)[/tex]For the group that studied in Question #8...
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
...what is the mean absolute deviation of the group, rounded to the nearest tenth?
Answers
Answer:
93
Step-by-step explanation
add all of the numbers and devide them by the amount of numbers there are.
3 cos A = 4 sin A
find
a) cos A
b) 3-cot2 A+ cosec2A
Answers
Answer:
a). cosA = 4/5
b).
[tex]3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0[/tex]
Answer:
hope it will help you☺
Step-by-step explanation:
hope
100 POINTS can someone help please??
I need to rewrite this poem into an adaptation(simple words easier to understand) and I am struggling
Answers
Answer:
i dunno
Step-by-step explanation:
Answer:
i had done already.thanks for 50 points
Plz help ill give u brainliest!
Answers
Answer:
4320
Step-by-step explanation:
Multiply 18000 by 6 then multiply it by 0.04 and you get 4320
IT IS AAAAAAAAAAAAAA
$18,000x6 then divide by .40
So it should be d!
9. Two homebuilders are in the middle of installing windows on their homes. Tom uses the equation
y = 7x + 2 to model the number of windows he is installing on his home and Suzanne uses the equation
y = 6x + 5 to model the number of windows she is installing on her home. In each formula, x represents the number of days that Tom and Suzanne work on installing windows.
Who is working at a faster rate? How do you know?
Who started with the most windows already installed? How do you know?
Answers
Answer:
Hence, Suzanne is working at a faster rate.
Suzanne started with the most windows already installed
Step-by-step explanation:
Number of windows he's installing :
Tom's equation :
y = 7x + 2
Suzanne's equation :
y = 6x +5
x = number of days used
Let y = 10
Tom:
10 = 7x + 2
10 - 2 = 7x
8 = 7x
x = 8/7 ; x = 1.143
Suzanne :
y = 6x + 5
10 = 6x + 5
10 - 5 = 6x
5 = 6x
x = 5/6
x = 0.833
Since 0.833 < 1. 143
Hence, Suzanne is working at a faster rate.
Intercept in Suzanne's equation = 5
Intercept in Tom's equation = 5
Suzanne started with the most windows already installed
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answers
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
5. ¿Cuál es la expresión algebraica que representa el área de la siguiente figura?
A) 5x + 15
B) 5x + 3
C) 5 + 3x
D) 5x – 15
Answers
A) 5x + 15
Explanation:
5x is the area of the green square (5•x)
15 is the area of the orange rectangle (5 •3 =15)
To have the total area you have to sum the areas of the two figures: 5x + 15
. Help quick. My computer is crashing quickkkkkkkk
Answers
Answer:
a) 80.35m^2
b)2 and 18
C)4.8
D)200% of 7=14
7 decreased by 200=-7
Step-by-step explanation: