Answer:
Random and Representative.
Step-by-step explanation:
According to the Question,
Given That, Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a Representative and Random sample.How do I find the Derivative of a Function where the x is a number?
If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?
Thanks
Given a function g(x), its derivative, if it exists, is equal to the limit
[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]
The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).
Alternatively, you can directly find the derivative at a point by computing the limit
[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]
But this is essentially the same as the first method, we're just replacing x with 1.
Yet another way is to compute the limit
[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]
but this is really the same limit with h = x - 1.
You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.
Which of the following are good ideas to use when gathering your resources?
Check all that apply.
O A. Form an equation:
B. Draw a diagram.
C. List potential formulas.
D. Guess at the solution and see if you are close.
E. Organize into a table.
F. Write down the facts.
Answer:
Organize into a table for good gatherings.
On a unit Circle, the terminal point of 0 is (sqrt3/2, 1/2) what is 0?
This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.
The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.
(sqrt(3) / 2, 1/2) = pi / 6 radians
Hope this helps!
Answer:
A. pi/6 radians
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1/2 : sqrt(3/2) : 1
sin theta = opp/hyp
tan theta = 1/2 / 1
tan theta = 1/2
theta = pi/6 radians
Answer: A. pi/6 radians
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answer:
3 ft per minute
Step-by-step explanation:
Take the distance and divide by the time
3/4 ft ÷ 1/4 minute
Copy dot flip
3/4 * 4/1
Rewriting
3/1 * 4/4
3/1 *1
3 ft per minute
PLEASE HELPP!!!!
Find the area.
A.530in²
B. 779in²
C.390in²
D.1060in²
Answer:
530in²
Step-by-step explanation:
Area of triangle(a)=1/2bh=1/2*40*26.5=530
Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive
Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because
Answer:
rational
Step-by-step explanation:
it can be written as a fraction
The following relation is a function (10,12),(5,3),(15,10),(5,6),(1,0) true false
Answer:
True
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s?. If the acceleration of the object becomes 3 m/s?, what is the force?
Here Mass is constant
F1=8Na_1=4m/s^2a_2=3m/s^2F_2=?Using Newtons s law
[tex]\\ \sf \longmapsto F=ma[/tex]
[tex]\\ \sf \longmapsto \dfrac{F}{a}=m[/tex]
[tex]\\ \sf \longmapsto \dfrac{F_1}{a_1}=\dfrac{F_2}{a_2}[/tex]
[tex]\\ \sf \longmapsto \dfrac{8}{4}=\dfrac{F_2}{3}[/tex]
[tex]\\ \sf \longmapsto F_2=\dfrac{24}{4}[/tex]
[tex]\\ \sf \longmapsto F_2=6N[/tex]
Answer:
F = 6N
Step-by-step explanation:
Equation
F = ka
F - force
k - constant of proportionality
a - acceleration
Step 1 - find k
8N=k*4m/s^2
k=2
Step 2 - find F
F=2*3m/s^s
F=6
HELP!!!!!!!!!!!!!!!!!!!
Answer:
1. 22+b
2. 7x
3. 6+t
4. Z(4+6)
5. -10+4a
6. N(8+-2)
7. X^2/2
4/5(m^2)
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.) b + 21
2.) x × 7 or 7x
3.) t + 6
4.) 4 + 6z
5.) -10+4a
6.) 8 +(-2n)
7.) (1/2)×n³
8.) (4/5)×m²
Must click thanks and mark brainliest
Find the length of the third side. If necessary, round to the nearest tenth.
16
12
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think 16.
Step-by-step explanation:
because 12 is impossible and last answer is 16.
Answer:
the third side will be √500
Step-by-step explanation:
[tex]\sf{}[/tex]
using PGT
(16)²+(12)²=H²
=> 256+144 = H²
=> 500 = H ²
=> √500 = H
Can sone One help me please, Thanks a lot
Answer:m
Step-by-step explanation:m
the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?
How much would $500 invested at 9% interest compounded annually be
worth after 4 years? Round your answer to the nearest cent.
Answer:
I think 705.79 if I did it right
Step-by-step explanation:
500(1+.09/1)^4 = 705.79
I really need help anyone know which option is correct.?
Answer:
B, [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.
As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
([tex]2,-1[/tex]), ([tex]4,-2[/tex])
[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]
[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]
Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?
a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.
b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.
d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.
Answer: Option B
She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.
Must click thanks and mark brainliest
Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find
1. P(A’)
2. P(A) U P(B)
3. P(A) ∩ P(B)
4. P(A ∩ B)
Answer:
A={x| x>7} = 8,9
B= {5,6}
1,
2,{5,6,8,9}
3,{}
4{}
Solve for the value of r.
r =
Answer:
r=8
Step-by-step explanation:
45=6r-3
48=6r
r=8
The radius of a circle is 3 cm. Find its area in terms of pi
Answer:
A = 9 pi cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r=3
A = pi (3)^2
A = 9 pi cm^2
Area of circle = πr²
Area = π3²
Area = 9π
There area in terms of pie is 9πcm²
Must click thanks and mark brainliest
f(x) = 5x + 2x^2-7x+4
g(x) =3x-7
find (f+g)(x)
Answer:
(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3
Step-by-step explanation:
Answer:
=6x^3-20x^2+26x-28
Step-by-step explanation:
URGENT
really need help
Answer:
Step-by-step explanation:
.007 = 7 x [tex]10^{-3}[/tex]
.07 = 7 x [tex]10^{-2}[/tex]
7 = 7 x [tex]10^{0}[/tex]
700 = 7 x [tex]10^{2}[/tex]
Which is the simplified form of r^-7 + s^-12
Answer:
The simplified form of r^-7 + s^-12 is ----> 1/r^7 + 1/s^12
Step-by-step explanation:
A square of side 4cm is enlarged by a scale factor 2.5. What is the are of the enlarged square
Answer:
10
Step-by-step explanation:
4 * 2.5 = 10
Jol 28, 3:44:44 AM
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answer:
Submit Answer
Answer:
x = 4, -4, 7i, -7i
Step-by-step explanation:
(x^2 – 16)(x^2 + 49) = 0
x^2 – 16 = 0 or x^2 + 49 = 0
x^2 = 16 or x^2 = -49
x = ± 4 or x^2 = ±7√-1 =±7i
Which models best illustrates the inequality and its graph?
t< 55
a.) t is at least 55
b.) t is less than 55
c.) t is 55 or more
d.) t is at most 55
Answer:
B
Step-by-step explanation:
Open circle means the number is not included.
Hope this helps <3
Use the graph that shows the solution to f(x) = g(x).
f(x) = 1+2x/x
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer:
X = -2
X = -1
X = 1
X = 2
Answer:
B and C
Step-by-step explanation:
The equation intersects each other at x=-1 and x=1
3x – (7x + 2) > 5x + 4
Answer:
x < -2/3Step-by-step explanation:
3x – (7x + 2) > 5x + 4= 3x -7x - 2 > 5x + 4= -4x - 2 > 5x + 4= -4x -5x > 4 + 2 = -9x > 6= x < -2/3[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Find the missing angles indicated by small letters in each of the diagram.
Answer:
a) X=75°
y= 105°
b) b= 120°
a=45°
d) r=75°
q=37°
p= 37°
e) y=100°
X= 143°
Step-by-step explanation:
soln no. a
here,
X+50+55=180(sum of all angle of triangle)
or, X= 180-105
or, X= 75°
again,
X+y = 180 (straight angle)
or, y= 180-75
or, y= 105°
soln no b
here,
b+60=180(straight angle)
or, b = 180 - 60
or, b = 120°
again,
a+60+75=180(sum of all angle of triangle)
or, a = 180- 135
or, a = 45°
soln no. d
here,
r=70°( alternate angle)
again,
73°+q+r=180( sum of all angle of triangle)
or,q=180-143
or,q=37°
again,
p=q=37(alternate angle)
soln no. e
y+80=180(straight angle)
or,y= 180-80
or, y = 100°
again,
63+80+<RMB=180(sum of all angles of triangle)
or, 143+<RMB=180
or, <RMB=180-143
or,<RMB= 37°
again,
X+ <RMB= 180(straight angle)
or,X= 180°-37°
or, X = 143°
4x+3=x+9
What is the number?
X=?
Answer:x=3
Step-by-step explanation:
4x+3=x+9
4x-x=(-3)+9
3x=6
x=6:3
x=2