Answer:
Integration
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration TechniquesAntiderivativesArea under the curveApplication of IntegrationStep-by-step explanation:
Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.
Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Please help I need it in 5 minutes
Solve for x using the Quadratic Formula: x^2 + 2x+1=0
X=-b plus or minus b2-4ac squared all over 2a
Answer:
c is the answer
Step-by-step explanation:
Need help with this ASAP
a = 22 × Cos( 60 )
a = 22 × 1/2
a = 11
Answer:
a = 11
Step-by-step explanation:
[tex]sin 60 = \frac{opposite}{hypotenuse} = \frac{b}{22}\\\\b = 22 \times sin 60 = 19.05[/tex]
[tex]22^2 = a^2 + b^2 \\484 = a^2 + 19.05^2\\a^2 = 484 - 362.9025\\a^2 = 121.0975\\a = \sqrt{121.0975} = 11.004[/tex]
The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
use the diagram to answer the question.
Answer:
Step-by-step explanation:
25+105+x=180 degree(being sum of the interior angles of a triangle)
130+x=180
x=180-130
x=50 degree
Answer:
B. 50
Step-by-step explanation:
total angle of triangle = 180⁰
hence,
25 + 105 + x = 180
x = 50
therefore ans is B. 50⁰
CAN U HELP ME PLZ!!!! |
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Answer:
7.33
Step-by-step explanation:
What is the equation of a circle with center (-3, -5) and radius 4?
Answer:
The choose (A)
A- (x+3)²+(t+5)²=16
Answer:
A (x + 3)^2 + ( y + 5 )^2 = 16
Step-by-step explanation:
The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2
( h , k ) represent the coordinates
r represents the radius
Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2
2 negatives make a positive
So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16
You also need to make sure you square the radius
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?
A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8
Answer:
C: 18 4/15
Step-by-step explanation:
7 2/3 + 10 3/5
Convert fractions so that they share a common denoninator:
7 10/15 + 10 9/15
17 19/15
18 4/15
The sails of two boats are pictured below. What is the value of y?
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
What is the answer and explanation
Answer:
- 4 1/3 < - 1 3/4
Step-by-step explanation:
The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4
Rewrite 5/3 with a denominator of 12
Answer:
20/12
hope this helps
have a good day :)
Step-by-step explanation:
A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?
Answer:
k = 3
Step-by-step explanation:
Given
x² + y² + 6y - 4 = 0 ( add 4 to both sides )
x² + y² + 6y = 4
Using the method of completing the square
add ( half the coefficient of the y- term )² to both sides
x² + y² + 2(3)y + 9 = 4 + 9
x² + (y + 3)² = 13
with k = 3
What is the simplest form of b/bc ??
I think it is between these two..
(No link pls <3)
slope of line is 2 comparing equation y= mx+c where m is your slope
Answer:
- 1
Step-by-step explanation:
SLOPE/Y-INTECEPT EQUATION
y = mx + b
The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.
y = 2x - 1
Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.
Need help take your time it’s due in a hour
Answer:
[tex]g(x) = 2^x - 3[/tex]
Un-formatted answer:
2^x - 3
Step-by-step explanation:
[tex]g(x) = f(x) - 8 = 2^x + 5 - 8 = 2^x - 3[/tex]
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?
Respuesta:
a = 82; b 164
Explicación paso a paso:
a = 1 / 2b - - - (1)
a gana 66 = a + 66
b = b - 90
a = 2b
a + 66 = 2 (segundo - 90) - - - (2)
Ponga a = 1 / 2b en (2)
1 / 2b + 66 = 2 (b-90)
0.5b + 66 = 2b - 180
0.5b - 2b = - 180 - 66
-1,5b = - 246
b = 164
a = 1 / 2b
a = 1/2 * 164
a = 82
Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the weekly salary based on this annual salary?
Answer:
Weekly salary of Harold = $750 (Approx.)
Step-by-step explanation:
Given:
Annual salary of Harold = $39K = $39,000
Find:
Weekly salary of Harold
Computation:
Number of weeks in a year = 365 / 7
Number of weeks in a year = 52.1425
Number of weeks in a year = 52 week (Approx.)
Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year
Weekly salary of Harold = 39,000 / 52
Weekly salary of Harold = 750
Weekly salary of Harold = $750 (Approx.)
A triangle has side lengths of 6, 8, and 10. Is it a right triangle?
Answer: Yes
Step-by-step explanation:
You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.
Answer:
YES IT IS
Step-by-step explanation:
For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).
A squared + B squared = C squared
6 squared + 8 squared = 100
Since we squared our addends, we must find the square root of 100 (which is 10)
Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.
Hope this helps you. Have a great rest of your day.
This is a grade pls help asap i need tye answer quickly.
Answer:
the first question I think yes cause the second one says that there is y line
the y intercept is 9
Please help I will give brainliest
Answer:
[tex] {z}^{ \frac{ - 1 + 5}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{ \frac{4}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{2 - \frac{1}{3} } \\ {z}^{ \frac{6 - 1}{3} } \\ {z}^{ \frac{5}{3} } [/tex]
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?
Answer:
$0.3
Step-by-step explanation:
8.90x2=17.8
1.75x2=3.5
17.8+3.5=21.3
21.90-21.3=0.6
0.6/2=0.3
A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight (in kg) that can be carried by both the vehicles.
Answer:
Tempo = 7,230kg
Van = 7,770kg
Step-by-step explanation:
FOR THE TEMPO
boxes of biscuits = 482
Each weight = 15kg each
= 482 x 15kg
= 7,230kg
FOR THE VAN
boxes of biscuits = 518
as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each
= 518 x 15kg
= 7,770kg
Area of triangle please help
Answer:
A= 18
Step-by-step explanation:
Answer:
18 your answer is correct
Step-by-step explanation:
12x3=36
36÷2=18
3m=5m-8/5...................................
Answer:
its m= 4/5
Step-by-step explanation:
Answer:
[tex]m = \frac{4}{5}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17
Answer:
D. by multiplying 58 by 0.17
[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]
How is 80.106 written in expanded form?
Pls answer !!
Answer:
B
Step-by-step explanation:
This is pretty self explanatory and easy..
Whats 9+10?? HELPPPPP
Answer:
19
Step-by-step explanation:
9+10=19
add the ones place (0+9) then the tens place (1+0).
find the slop if the line through each pair of points (-13,1),(-16,1)
Answer:
[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]
Answer:
Slope is 0
Step-by-step explanation:
Help me Please and thank you
Answer:
f(3) = -4
Step-by-step explanation:
f(3) = f(2)*-1/2; Solve for f(2) first;
f(2) = f(1)*-1/2
f(2) = -16*-1/2
f(2) = 8;
Now get back to f(3);
f(3) = f(2)*-1/2
f(3) = 8*-1/2
f(3) = -4
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9