Answers
Answer:
2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Definition 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
f(x) = 2x - 5
Step 2: Differentiate
[Limit] Substitute in x [Function f(x)]: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - f(x)}{\triangle x}[/tex][Limit] Substitute in function: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute 2: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2x + 2\triangle x + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute negative: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2x + 2\triangle x + 5 - 2x - 5}{\triangle x}[/tex][Subtraction] Combine like terms: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2\triangle x}{\triangle x}[/tex][Division] Simplify: [tex]\displaystyle \lim_{\triangle x \to 0} 2[/tex]Evaluate limit [Limit Rule - Constant]: [tex]\displaystyle 2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Related Questions
Stuck on this one. I can’t remember the process to get the answer
Answers
Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Answers
Answer:
The volume of the cylinder is 942 cubic kilometer.
Step-by-step explanation:
Height of the cylinder, h = 12 km
radius of the cylinder, r = 5 km
The volume of cylinder is given by
[tex]V=\pi r^2h\\\\V = 3.14\times 5\times 5\times 12\\\\V =942 km^3[/tex]
Please help fast!! What is the range of the scores shown in the stem and leaf plot
95
40
58
37
Answers
Answer:
37
Step-by-step explanation:
Highest take the lowest
95-58=37
solve this linear equation into every single step you would use -x+9+3x=4x+2(x-3.5)
Answers
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]x+9+3x=4x+2(x-3.5)[/tex]
Distribute 2 to the parenthesis
[tex]x+9+3x=4x+2x-7[/tex]
Combine like terms
[tex]4x+9=6x-7[/tex]
Subtract 4x from both sides
[tex]4x+9=6x+-7[/tex]
[tex]-4x[/tex] [tex]-4x[/tex]
[tex]9=2x+-7[/tex]
[tex]2x+-7=9[/tex]
Add 7 to both sides
[tex]2x+-7=9[/tex]
[tex]+7[/tex] [tex]+7[/tex]
[tex]2x=16[/tex]
Divide both sides by 2
[tex]2x=16[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=8[/tex]
Hope this helps!
List the intercepts and test
for symmetry
y = x² - 2x-8
Answers
Answer:
heloooooooooooooooooooooio
Step-by-step explanation:
oooooooooo oooooooooo oooooooooo
Y intercept: (0,-8)
Axis of symmetry: X=1
simpifly this expression, i only need answer b :)
Answers
Answer:
1) x³y²
2) 6x²y³
Step-by-step explanation:
hope it helps...
Match the solution set given in inequality notation with the solution set given in interval motion x > 7.8
Answers
Answer:
(7.8, ∞)
Step-by-step explanation:
Given the inequality :
x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8
The interval for which the inequality holds true is :
x > 7. 8 - - - > (7.8, ∞)
SOMEONE PLEASE HELP THIS IS DUE TOMROROW EZ WORK
PLEASE ANSWER THEM PROPERY FULL SENTENCES
Answers
Answer:
1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.
2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.
3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.
4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.
6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.
For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)
Y’all know the answer?
Answers
9514 1404 393
Answer:
(b) 36 in²
Step-by-step explanation:
The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...
√(5² -3²) = √16 = 4
Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...
A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²
__
You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.
Please help. I am very confused about this problem.
Answers
jzgsgßiqhwgwgah I don't know
Answers:
number of sides = 15regular polygon name = regular 15-gon=======================================================
Explanation:
If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.
Divide 360 over this to find that 360/24 = 15
This means the regular polygon has 15 sides.
I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.
PLSSS HELP I ONLY HAVE A FEW MINUTES LEFT.
Which of the following is equivalent to 2^3sqrt x^4
Answers
Answer:
Hi, there your answer is C
Step-by-step explanation:
You have to rewrite as rational [tex]2x^{\frac{4}{3} }[/tex]exponents
Use this to help you rememeber
[tex]\sqrt[n]{a^{x} } =a^{\frac{x}{n} }[/tex]
Hope this helps :)
Answer:
2[tex]x^{\frac{4}{3} }[/tex]
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]\sqrt[n]{x^{m} }[/tex] = [tex]x^{\frac{m}{n} }[/tex] , then
2[tex]\sqrt[3]{x^{4} }[/tex]
= 2[tex]x^{\frac{4}{3} }[/tex]
What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Answers
Answer:
SA = 748π in²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 11 in
h = 23 in
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)Multiply: SA = 506π in² + 242π in²Add: SA = 748π in²A pencil case with a cylinder shape with diameter= 10 cm
and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?
Answers
Answer:
length of the longest pencil that can fit must be less than 13cm
Step-by-step explanation:
To get the longest pencil that fit the case, we will use the pythagoras theorem;
diameter = 10cm
radius = 10/2
radius = 5cm
Height = 12cm
Get the length of the longest side
l² = r²+h²
l² = 5²+12²
l² = 25 + 144
l² = 169
l = √169
l = 13cm
Hence the length of the longest pencil that can fit must be less than 13cm
Find the area of the equilateral triangle when the base is 2.0 cm and the top angle is 50°
Answers
Answer:
There is an error in the question.
All angles in an equilateral triange are 60º
if a/4=2/3, then (a-4)/4 would equal
a. -2/3
b. -1/3
c. 0
d. 1/3
Answers
Answer:
b. -1/3
Step-by-step explanation:
a/4=2/3
a=8/3
(a-4)/4
(8-12)/12
=-4/12
=-1/3
Answer:
-1/3
Step-by-step explanation:
a/4=2/3
Multiply each side by 4
a/4 *4=2/3 *4
a = 8/3
(a-4)/4
(8/3 - 4) /4
Getting a common denominator
(8/4 - 12/3) /4
(-4/3)/4
-1/3
Can someone help me with this.
Answers
Answer:
33.51 sq units
Step-by-step explanation:
A=Θπr^2/360= 60 x pi x 8^2/360=33.51032164=33.51 sq units
Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?
Answers
Answer:
V = 400 ft^3
Step-by-step explanation:
The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.
Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft) = 400 ft^3
lamar had 2/5 of land. he planted 2/3 of this land with corn. how many acres did he plant with corn? answer in the simplest form
Answers
Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.
Answers
Answer:
Step-by-step explanation:
ax+1.8a−2.5
Someone help please, I’ll mark brainliest (look at the image) (50 points)
Answers
Answer:
S=54fr^2 T=81ft^2 U= 54 ft^2 V= 54 ft^2 W= 54 ft^2 X= 81 ft^2
Step-by-step explanation:
You got it correct, dont stress!
Answer :
Area of S = 6*9 = 54
Areas of T = 9*9 = 81
Area of V = 6*9= 54
Area of X= 9*9= 81
Area of U = 9*6 = 54
Area of W = 9*6 = 54
Surface area is 378 ft^3
Explanation
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.
A cuboid when opened gives the following view:
I need someone to check my answer for this graph
(I chose negative )
Answers
Answer:
The answer is D) Undefined because the equation is x=-11.
0.202 round to the hundredth
Answers
Answer:
0.20
Step-by-step explanation:
The area of the pacific ocean is more than 60 million square miles. What is that in scientific notation?
Answers
Answer: 6.0 x 10^7
Step-by-step explanation:
60000000 = 6.0 x 10^7
Approximately how long will it take $200 to double to $400 when the annual interest rate is 8 1/2?
Answers
Answer:
200/17 years
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100i
given h (x)=5x-3 find the value of h(-4)
Answers
Answer:
h(- 4) = - 23
Step-by-step explanation:
To evaluate h(- 4) substitute x = - 4 into h(x) , that is
h(- 4) = 5(- 4) - 3 = - 20 - 3 = - 23
h (-3) = 57
why does it keep saying to explain dis.... dont answer that
The function f(x)= StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).
Which statement is correct?
The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answers
Answer:
The domain of the graph is all real numbers less than or equal to 0
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The domain of the graph is all real numbers less than or equal to 0.
how many lbs is 3.25 tons?
Answers
Answer:
6500 lba
Step-by-step explanation:
hope this helps. Goodluck <3
Answer:
2.939279
Step-by-step explanation:
metrict ton
what is the equation, in point-slope form, of the ljne that is perpendicular to the given line and passes through the point (-4,-3)?
Answers
Answer:y+3=1/4(x+4)
Step-by-step explanation:
First find the slope of the line with the points -1,1 and 0,-3
1-(-3)/-1-0 = -4
perpendicular is negative reciprocal which is 1/4
now we have the slope, and a point so we can put it in point slope form
y+3=1/4(x+4)
point slope form is y-y1 = m(x-x1)
with x1,y1 being the point and m being the slope
Simplity: (3(2a)^1/3) 2
24a3
216a3
72a3
342a
Answers
whoch expression is equivalent to -20 - (-4)
Answers
Answer:
D
Step-by-step explanation:
-(-4)=+4
so it is -20+4
Answer:
D) -20 + 4 is the answer.
Step-by-step explanation:
1) Record the terms .
[tex]4 - 20[/tex]
2) Use this rule: a - b = -(b - a)
[tex] - (20 - 4)[/tex]
3) Use algorithm method.
(see the attached picture)
4) After simplifying, we have:
[tex] -(20 - 4) = - 16[/tex]
5) therefor, -20 + 4 = -16
[tex] - 16[/tex]
