Answer:
I think it already is in standard form.
Step-by-step explanation:
Standard form means that a quadratic function is in the form [tex]ax^2+bx+c=y[/tex].
In this case, a=-1, b=2, and c=4.
The total curvature of the portion of a smooth curve that runs from sequalss 0 to s 1 greater than s 0 can be found by integrating kappa from s 0 to s1. If the curve has some other parameter, say t, then the total curvature is Upper K equals Integral from s 0 to s 1 kappa ds equals Integral from t 0 to t 1 kappa StartFraction ds Over dt EndFraction dt equals Integral from t 0 to t 1 kappa StartAbsoluteValue Bold v EndAbsoluteValue dt , where t0 and t1 correspond to s 0 and s1. a. Find the total curvature of the portion of the helix Bold r (t )equals (3 Bold font size decreased by 1 cos font size decreased by 1 t )Bold i plus (3 Bold font size decreased by 1 sin font size decreased by 1 t )Bold j plus t Bold k, 0 less than or equals t less than or equals 4 pi . b. Find the total curvature of the parabola yequals4 x squared, minusinfinityless thanxless thaninfinity.
Answer:
000
Step-by-step explanation:
On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
8(q+4)-2(2q+6) simplified
Answer:
4q+20
Step-by-step explanation:
1. You apply distributive property.
8(q+4) - 2(2q+6)
8q+32 -4q-12
2. Combine like terms
4q+20
how do u find slope?
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Step-by-step explanation:
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
Which of the following is an IRRATIONAL number? (select ONE)
a
1.323232...
b
32/3
c
1.7284927172646362...
d
1.5
Answer:
Number C would be the irrational number
URGENT pls help I literally don’t understand how to do this
Step-by-step explanation:
Hope this helps, cheers!!!
What is 4% of 300? Select one: 12 75 O 120 296 Type here to search Presentation S...
Answer:
12
Step-by-step explanation:
300 multiplied by 0.04 (4%) = 12
Hope I helped :)
Please consider Brainliest :)
Solve the equation.
If necessary
Please help me !!
Answer:
x = - 1
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5
Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions
3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )
- 5x + 12 = 2x + 19 ( subtract 2x from both sides )
- 7x + 12 = 19 ( subtract 12 from both sides )
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Will give brainliest!!!!
In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.
Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?
15°
29°
32°
45°
Answer
B 29
Step-by-step explanation:
Edge 2020
Answer:
B. 29 degrees
Step-by-step explanation:
2 1/3 divided by 1/4
Answer:
9 1/3 or 28/3
Step-by-step explanation:
Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) The slope formed by ΔABC has a value that is 1 2 the slope formed by ΔCDE. B) The slope formed by ΔCDE has a value that is 2 times greater than the slope formed by ΔABC. C) The slope formed by ΔABC has a value that is 2 times greater than the slope formed by ΔCDE. D) The slope formed by ΔABC has a slope that is equal to the slope formed by ΔCDE.
Answer:
A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE
Step-by-step explanation:
Find the diagram attached.
Slope is the change in y coordinates tom that of x coordinate of a line.
Slope = Δy/Δx
Slope = y2-y1/x2-x1
For ΔABC,
A(-3, 6) and C = (-1, 3)
Slope = 3-6/-1-(-3)
Slope = -3/-1+3
Slope = -3/2
Slope of line AC is -3/2
For ΔCDE,
C = (-1, 3) and E = (3, -3)
Slope = -3-3/3-1
Slope = -6/2
Slope = -3
Slope of line CE is -3
From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)
-3/2 = 1/2 (-3)
-3/2 = -3/2
Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE
Answer:
D
Step-by-step explanation:
Hope this helped
Ricky has a bowl with 80 jellybeans in it they are 16 read 24 cream 12 yellow 20 orange and eight black jellybeans Ricky takes one jellybean from the ball without looking what is the probability he takes a yellow jellybean
Answer:
D. 3/20
Step-by-step explanation:
12/80 can be dimplified to 3/20
Which angles would the consecutive interior angles theorem state are supplementary?
Answer: I'd go with Option (C.<3 AND 4, <6 AND 4)
Answer: The answer is D
Step-by-step explanation:
Plss need Help ASAP! :(
Answer:
4 divided by 25 is 0.16
Step-by-step explanation:
Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.
The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
Move down the 2nd digit of the dividend (5)
The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:
Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:
Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 25 divided by 4 calculated using Long Division is:
6
1 Remainder
Find the missing terms: 19, _, _, _, -13
Answer:
-5,3,11
Plus 8 or subtract 8
Step-by-step explanation:
-13 + 8= -5
-5+8= 3
3+8=11
11+8=19
or
19-8=11
11-8=3
3-8=-5
-5-8= -13
Hope that helps :)
Write an equation in slope intercept form for the given graph.
Answer: the answer is y=6x-3
if f(x)=0 what is x
The value of x when f(x) = 0 in the graphed function is: C. -2, 1, or 3 only.
What is a Function?A function relates an input value (x-value) to a corresponding output value (y-value).
In the graphed function, f(x) = 0 means the value of y is 0, at this point, the values of x on the x-axis that corresponds to this y-value are -2, 1, or 3.
Therefore, if f(x) - 0, x would be: C. -2, 1, or 3 only.
Learn more about functions on:
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find the perimeter of the polygon if
What are the numbers so I can do the problem.
Given the function f (x) = 8x2 - 14x – 10, find f -2).
Remember from now on ;
If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.
Got it ?
Now Let's do it .....
[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]
[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]
[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]
[tex]f( - 2) = 32 + 28 - 10[/tex]
[tex]f( - 2) = 60 - 10[/tex]
[tex]f( - 2) = 50[/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
Please Help!! Due in 5 minutes!
Answer:
I may be wrong but I beileve its A(-20)
Step-by-step explanation:
Answer: Hey there The answer is simple is -20
Step-by-step explanation:
(2)(12)/-3-12=-20
hope this helps
Figure B is a scaled copy of Figure A.
Answer:
2
Step-by-step explanation:
did it on khan
i need help pleaseee❤️
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(2,7) and (-7,-5)
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (- 7, - 5)
d = [tex]\sqrt{(-7-2)^2+(-5-7)^2}[/tex]
= [tex]\sqrt{(-9)^2+(-12)^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
Select the correct answer from each drop-down menu.
50°
45°
52
In the figure, x=
vy-y and z=
Answer:
x=52 Y=50 Z=45
Step-by-step explanation:
hope this can help you
Slope Application, I need help ASAP.
Answer:
89/3x
Step-by-step explanation:
Use Marhway for these types of problems
why can’t the absolute value of anything equal a negative number?
Answer:
The absolute value makes the number inside it, a positive
Step-by-step explanation:
In the diagram, AABC = ADEF . Find the values of x and y.
Answer:
x = 1
y = 46
Step-by-step explanation:
assuming AB = DE and angle F = angle C,
set 4x - 6 = 10", solve for x...
4x = 4, x = 1
set 14x + y = 60°, substitute 1 for x then solve for y...
14 + y = 60°, y = 46
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
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