Hello,
[tex]f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}[/tex]
every parallelogram is a square?
every rectangle with four congruent sides is a square?
every rectangle is a quadrilateral?
every quadrilateral is a rectangle?
Answer:
every parallelogram is a square? False
every rectangle with four congruent sides is a square? True
every rectangle is a quadrilateral? True
every quadrilateral is a rectangle? False
Step-by-step explanation:
every parallelogram is a square?
A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.
every rectangle with four congruent sides is a square?
Square require 4 congruent sides and 4 right angles. Rectangles already have 4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.
every rectangle is a quadrilateral?
A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.
every quadrilateral is a rectangle?
A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.
please help. the packet is due tonight
Answer:
[C] [tex]\displaystyle \frac{-3}{250}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationConjugationsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Multiplied Constant]: [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]DerivativesDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{\sqrt{x - 4}}[/tex]
[tex]\displaystyle g(29)[/tex]
Step 2: Differentiate
Substitute in function [Function g(x)]: [tex]\displaystyle g(x) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{x + h - 4}} - \frac{3}{\sqrt{x - 4}}}{h}[/tex]Substitute in x [Function g(x)]: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{29 + h - 4}} - \frac{3}{\sqrt{29 - 4}}}{h}[/tex]Simplify: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{25 + h}} - \frac{3}{5}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15}{5\sqrt{25 + h}} - \frac{3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15 - 3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex]Factor: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3(5 - \sqrt{25 + h})}{5\sqrt{25 + h}}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{3(5 - \sqrt{25 + h})}{5h\sqrt{25 + h}}[/tex]Rewrite [Limit Property - Multiplied Constant]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}}[/tex]Root Conjugation: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}} \cdot \frac{5 + \sqrt{25 + h}}{5 + \sqrt{25 + h}}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{5h\sqrt{25 + h} + h^2 + 25h}[/tex]Factor: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{h(5\sqrt{25 + h} + h + 25)}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + h} + h + 25}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + 0} + 0 + 25}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \cdot \frac{-1}{50}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{-3}{250}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Which Relationships have the same constant of proportionality between Y and X the following table?
Answer: do you have a picture
Step-by-step explanation:
Question 10 What best describes Theoretical Probability? A.) Flipping a coin once to see if it's a heads or tails. B.) Using mathematical reasoning to determine how many heads, without flipping. C.) Picking a random number for the heads you will see. D.) Flipping a coin 100 times and seeing the number of times it is heads.
Answer:
B)
Step-by-step explanation:
what is the slope of this line
Answer:
4
Step-by-step explanation:
rise/run = slope
As it goes to the left or adds by one, it goes up by 4
4/1
Answer:
4
Step-by-step explanation:
The line goes down 4 and 1 left. There is no need to put the 1.
evaluate (3.02)(0.5)=
Answer:
1.51
Step-by-step explanation:
multiply the numbers together
Johns family consume 50dl of milk every day/How many litres of milk did they consume on february 2020
Answer:
1450dl
Step-by-step explanation:
29 days X 50dl = 1450dl
both physical and mental labour are important in the development of Civilization express in 300 words
Answer:
Civilization refers to a well-organized and highly cultural urban society. Urban living is based on people's freedom of self-realization, specialization and a self-organizing market economy. It has also been defined as a society where agriculture and handicrafts have developed, social strata have developed, cities and the state have emerged, writing is known and high-quality literary and artistic works are created.
The first civilizations emerged in the region of Mesopotamia, approximately 6000 years ago. For the development of these it was eminently necessary that individuals had developed cognitive and physical capacities that allowed them a correct cultural assimilation with respect to their peers, and also a correct relationship between them without the development of conflicts.
In addition, a large amount of physical and mental work was required for the development of the organization of these civilizations, both at the infrastructure level and their ideological development.
Solve the equation.
5x + 8 - 3x = -10
Answer:
x=-9
Step-by-step explanation:
You just hung a picture twelve inches above the wall trim. Your friend thinks the
picture looks crooked. Use what you know about parallel lines and transversals to
determine if the picture is level.
Step 1: You don't have a level, but you are in luck. You know the wall trim is level.
You have a protractor and the sun is casting a shadow on the wall. Describe how
you can determine if the picture is level.
: Assume you measured ∠3 and ∠5 and found them to be equal. Use the
spaces provided below to complete a formal proof that demonstrates the picture
is level with the trim.
Answer:
The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level
Step-by-step explanation:
Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight
If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture
With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured
The angles measured should be the same if the picture is level.
I hope this is correct. If not feel free to let me know and I will fix it. I'm sorry in advance if it is wrong.
I really need help do can someone do it step by step so I can understand plzzzz
Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
I need help with number 2
Answer:1st because of the formula
Step-by-step explanation:
Answer:
Unlikely.
Step-by-step explanation:
Since the percentage is at least greater than 0%, it is not impossible. However, since it is less than 50%, it is highly unlikely.
Find the arithmetic means for the given sequence:
4, __, __, __, __, 19
Answer:
a= 4. b=19. n=4. d= b-a/n+1= (19-4)/(4+1)= 15/5=3. Hence, d=3.
Step-by-step explanation:
Do you also want an explanation?
Answer:
7 10 13 16
Step-by-step explanation:
a1 = 4
a6 = 19
n = 6
d = ?
a6 = a1 + (n - 1)d
19 = 4 + (6 - 1)*d
19 - 4 = 5*d
15 = 5d
d = 15/5
d = 3
So the sequence is
4,7,10,13,16,19
I'm tired :( too many missing assignments. I've been working all day
Answer:
aw its fine, take a break and get some fresh air
Answer:
oof its ok u got this
drink some coffee or take a quick break or finish everything tomorrow
Step-by-step explanation:
975 toffees are to be distributed among 23 children. Estimate the numbers of toffees that each child will get in nearest tens.
Answer:
40
Step-by-step explanation:
Total number of toffees = 975
Total number of children = 23
Estimate the numbers of toffees that each child will get in nearest tens.
Number of toffees each child get = Total number of toffees / Total number of children
= 975 / 23
= 42.391304347826
Approximately,
Number of toffees each child get = 40 to the nearest tens
write an equation for this graph.
Answer:
y = -2
Step-by-step explanation:
The graph shows y = -2.
Answer:
Can you make it better? because it looks so blur.
Line JK passes through J(2,7) and K(5, 11).
What is the slope of line JK?
Helppp
Answer: Slope is 4/3
Step-by-step explanation: slope is change of y / change of x
k = Δy/Δx = (7-11) /(2-5) = -4 / -3 = 4/3
Ken bought concert tickets for a group of people. The tickets cost $8.50 for adults and $5.00 for students. He bought 8 tickets for a total of $61. Let x = the number of adult tickets and y = the number of student tickets. How many adult and student tickets did Ken purchase?
*I need help ASAP, please
What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
Answer:
[tex]{ \bf{y = mx + c}} \\ 2 = ( - 2 \times - 1) + c \\ c = 0 \\ \\ { \boxed{ \bf{y = - 2x}}}[/tex]
Answer:
y = -2x
Step-by-step explanation:
The equation of a line in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Using the point
2 = -2(-1)+b
2 = 2+b
Add -2 to each side
2-2 =b
0=b
y = -2x+0
y = -2x
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
if 3 drinks cost $9 how much will 5 drinks cost
Step-by-step explanation:
9/3=3
cost of 1 drink=3 dollars
5x3=15
Answer is 15
Find the exact circumference if the circle has a radius of 12 cm
==========================================================
Explanation:
If the circumference is r = 12 cm, then the diameter is double that at d = 2*r = 2*12 = 24 cm.
This then leads to the circumference of C = pi*d = pi*24 = 24pi
This is exact in terms of pi. Replace pi with something like 3.14 to find its approximate value. The circumference is the distance around the circle's edge, aka perimeter.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answer:
a reflection across line m
Step-by-step explanation:
A reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K". Option B is correct.
What is reflection?Reflection is defined in an atmosphere as when the beam of light or wave strikes to the plane or curved surface deviates back from the atmosphere.
The final transformation is to determine that transition states have been shown in the image that describes how pre-image GHJK transformed to image G'H"J"K".
Steps of Transformation
Pre-image GHJK first rotates anticlockwise by an angle of 90° to G'H'J'K'.
Then G'H'J'K' reflected across the line m to G'H"J"K". It is the final transition state.
Thus, a reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K".
Learn more about reflection here
brainly.com/question/15487308
#SPJ2
What is the length of RS
O -8
O -4
O 4
O 8
calcula la longitud de la variable "x"
Answer:
x=20
Step-by-step explanation:
30°-60°-90°Δ
a=10
b=20
c=10[tex]\sqrt{3}[/tex]
x=b
x=20
Find the retail price.
Cost of article = $45
Percentage of markup (on cost) = 21%
Retail price = _____.
99.45
54.45
9.45
35.55
what is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8-2)/(9-6)
=6/3
=2
Answer: The slope of the linear function is 2.
Step-by-step explanation:
We can use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to find the slope
[tex]\frac{8-2}{9-6} \\\frac{6}{3} \\2[/tex]
The slope is 2.
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer:
C
Step-by-step explanation:
magic
The region with the competition for resources is region C with the highest population density
What is Population Density?The population density, or the number of people divided by the area's size, is determined by the number of people who reside there. Numerous creatures' distribution, growth, and migration can all be explained by population density.
Population density = number of people / the area they occupy
Given data ,
Let the population density be represented as P
Region Population Area
A 1,312 212
B 630 314
C 16,400 625
D 17,800 902
Now , the state with the highest population density will have the greater competition for the resources
So , The population density in Region A = 1312 / 212 = 6.19
The population density in Region B = 630 / 314 = 2
The population density in Region C = 16400 / 625 = 26.24
The population density in Region D = 17800 / 902 = 19.7
Hence , the region C has the highest population density
To learn more about population density click :
https://brainly.com/question/16894337
#SPJ7
At the end of a snow storm, Damian saw there was a lot of snow on his front lawn.
The temperature increased and the snow began to melt at a steady rate. There was a
depth of 15 inches of snow on the lawn when the storm ended and then it started
melting at a rate of 0.75 inches per hour. Make a table of values and then write an
equation for S, in terms of t, representing the depth of snow on Damian's lawn, in
inches, t hours after the snow stopped falling.
WILL MARK BRAINLIEST!!
Answer:
Y=-0.75x+15, I don't think this is fully correct, but hopefully this gets you one step closer!
Step-by-step explanation:
Y=mx+b form
Y=-0.75x+15
Now a table...
(X=0,Y=15) (X=100, Y=90) etc...plug it in to find the value.
What is an equation of the line that passes through the point (-5,-2)and is parallel to the line x-y=5?
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]x-y=5[/tex]
Rearrange this given equation into slope-intercept form. This will make it easier for us to identify the slope.
Subtract x from both sides of the equation
[tex]x-y-x=-x+5\\-y=-x+5[/tex]
Divide both sides by -1 to isolate y
[tex]y=x-5[/tex]
Now, we can identify clearly that the slope of this line is 1. Because parallel lines have the same slopes, a line parallel to this one would also have a slope of 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=x+b[/tex]:
[tex]y=x+3[/tex]
I hope this helps!