Answers
Answer:
a for the fist c for 2 d for 3 and idontknow
4
Step-by-step explanation:
===================================================
Explanations:
Problem 1
v = 9i - 4j means we move 9 units to the right and 4 units down.
Another way to write this is v = <9, -4>
----------------------
Problem 2
R = (-19, 6)
S = (-35, 13)
Subtract x coordinates: xS - xR = -35 - (-19) = -16
Subtract y coordinates: yS - yR = 13 - 6 = 7
Those results form the vector v = -16i + 7j
This vector indicates we move 16 units left and 7 units up when going from point R(-19,6) to point S(-35,13).
----------------------
Problem 3
t = -5i + 12j
||t|| = sqrt( (-5)^2 + (12)^2 )
||t|| = 13
theta = arctan(12/(-5))
theta = -67.38
Add on 180 to get to the proper quadrant Q2
-67.38 + 180 = 112.62
Therefore,
[tex]t = 13\bigg\langle \cos(112.62^{\circ}), \ \sin(112.62^{\circ})\bigg\rangle[/tex]
----------------------
Problem 4
The x, y components are the coefficients of the linear form.
This allows us to go immediately from <-39,16> to -39i + 16j
----------------------
Problem 5
P = (-5,11)
Q = (-16,4)
Subtract x coords: xQ - xP = -16 - (-5) = -11
Subtract y coords: yQ - yP = 4 - 11 = -7
The component form of vector t is <-11, -7> and this vector is in Q3.
r = sqrt(a^2 + b^2)
r = sqrt( (-11)^2 + (-7)^2 )
r = 13.038 is the approximate length of the vector.
theta = arctan(b/a)
theta = arctan(-7/(-11))
theta = 32.471
Add on 180 so we get to Q3
32.471+180 = 212.471
Therefore, we have
[tex]x = r\cos(\theta) = 13.038\cos(212.471^{\circ})\\\\y = r\sin(\theta) = 13.038\sin(212.471^{\circ})\\\\t = xi + yj\\\\t = 13.038\cos(212.471^{\circ})*i + 13.038\sin(212.471^{\circ})*j\\\\[/tex]
in which you could write into this slightly more compact form
[tex]t = 13.038\bigg\langle\cos(212.471^{\circ}),\sin(212.471^{\circ})\bigg\rangle\\\\[/tex]
For more info, check out polar to cartesian conversion formulas.
Related Questions
How many oranges does Heidi need to make one large orange
juice? Show your work.
Answers
Answer:
Heidi needs to make 9 oranges to make one large orange juice, give me brainliest answer:)
Jesse has five meters of twine and needs to cut it into lengths that are each 1/4 of a meter long. How many lengths will he have? Express this problem in a number sentence that uses division.
Answers
Answer:
20
Step-by-step explanation:
use the keep, change, flip method to solve fraction division
What is the missing reason?
Answers
Answer:
D
Step-by-step explanation:
you distribute the 2 to both numbers in the parentheses, and you get 2x+6=10 I HOPE THIS HELPS
which number comes next 10 7 11 12 9 13 14 ___
Answers
Answer:
11
Step-by-step explanation:
the pattern is
-3 +4 +1 -3 +4 +1
Please please someone help me with this question!!! math question !!!!
Answers
In the graph we can identify two local minimums, with values y = 0, and at the x-values:
x = -3 and x = 3.
What is a local minimum?For a function f(x), we define a local minimum on an interval (a, b) if for a value c ∈ (a, b), then:
f(c) ≤ f(x) ∀ x ∈ (a, b)
a) On the image we can see two local minimums (the two lowest points on the graph). The values of the minimums are both 0.
b) The values of x where we have the minimums are:
x = -3 and x = 3.
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How can 10% of 45 be used to determine 30% of 45?
Enter your answers in the boxes to correctly complete the sta
10% of 45 is
so 30% of 45 is
Answers
Answer: 10% of 45 is 4.5
So 30% of 45 is 13.5
Step-by-step explanation:
what is 5a + 2/3= -1/6 with two step equations fractions
Answers
Answer:
-1/6
Step-by-step explanation:
5a+2/3=-1/6
5a=-1/6-2/3
5a=-1/6-4/6
5a=-5/6
a=(-5/6)/5
a=(-5/6)(1/5)
a=-5/30
simplify
a=-1/6
two friends share 1/2 of a pizza equally. What fraction of the pizza does each friend get?
Answers
Answer:
1/4
Step-by-step explanation:
In this equation, from the beginning we know two things, that there are two people, and that the whole is 1/2
So we just have to divide! Use this equation whenever dealing with word problems like these and you’re stuck.
Amount of object (Pizza Size) divided by Number of Groups (People) = Amount of object in group
So our equation is 1/2 divided by 2
Calculate this and we will get our final answer of
1/4!
Hope this helped and please award brainliest!
Please help
Use the distributive property to fill in the blanks below. 9x(7-2)=(_x7)-(_x2)
Answers
Answer:
9x(7-2)=(9x7)-(9x2)
Step-by-step explanation:
You're just multiplying 9 by the numbers inside the parenthesis... I hope this helps you :)
By rounding to one significant figure, estimate the answers to these questions:
a)
59 +25
b)
682
71
C)
91 x 18
58
Answers
In what quadrant is the point (5,4)?
Answers
Step-by-step explanation:
1st quadrant
hope it helps you
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?
π(12in)2(3in) − 7(four over threeπ(1.5in)3)
π(3in)2(12in) − 7(four over threeπ(1.5in)3)
π(12in)2(3in) − 1.5(four over threeπ(7in)3)
π(3in)2(12in) − 1.5(four over threeπ(7in)3)
Answers
Answer:
Step-by-step explanation:
Vase:
h = 12 in
r = diameter/2 = 6/2 = 3 in
Volume of vase = πr²h
= π(3)²*12
Marbles:
r = 3/2 = 1.5 in
[tex]Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Volume of water = Volume of vase - volume of 7 marbles
[tex]= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Answer:
second choice
Step-by-step explanation:
the volume of water in the vase
= volume of the vase up to the height 12 inches - volume of 7 marbles
= π(6/2)²(12) - 7(4/3)π(3/2)³
so answer is the second choice
What is the area of this polygon ?
Answers
Answer:
51
Step-by-step explanation:
ΔABC: AC = 5 - (-1) = 6
height = (-1) - (-4) = 3
Area = 6*3/2 = 9
Rectangle ACDE, length AE = 6 - (-1) = 7
height DE = 5 - (-1) = 6
Area = 7 * 6 = 42
So the area of this polygon = 9 + 42 = 51
Consider the work sample and statements below. Select ALL that apply.
Answers
Answer:
A, B, D, F
Step-by-step explanation:
The work of solving the standard-form equation that is the difference of squares is properly shown except for Line 4. Statement [F] correctly describes the proper solution, which results in the solution set shown in Statement [B].
The first step was necessary to put the equation into standard form (Statement [D]). That form is the difference of squares (Statement [A]).
The statements that correctly describe the work are A, B, D, F.
Quadrilaterals LMNO and STUV are similar. What is the value of x in inches?
A. 27.1
B. 9.2
C. 22.9
D. 6.6
Answers
Answer:
D
Step-by-step explanation:
2.2 : x = 4.1 : 12.3
2.2/x = 4.1/12.3 = 1/3
so x = 2.2 * 3 = 6.6
D
Find the missing value.
Hint: Use the number line to find the missing value.
-3=7-?
Answers
Answer:
X = 10
Step-by-step explanation:
-3=7-x
-7 -7
-10=-x
10=x
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 6x + 9 = 20
O A. X = 215 + 3
B. X = -2,5 - 3
O c. x= -1/3 + 20
O D. x = -2.75 +3
O E. x = 215 - 3
h
O F. X = _3 + 20
Answers
3. Explain why (x – 4)2 = -9 has no real solutions.
Answers
Answer:
an equation is said to have no real solutions when value of x < 0
Step-by-step explanation:
here,
(x-4) 2= -9
2x - 8 = -9
2x = -1
x = -1/2
which is less than 0
The equation (x – 4)² = -9 has no real roots.
What is the solution of a quadratic equation?The solution of a quadratic equation is the value of the variable for which the expression becomes true.
Given,
(x – 4)² = -9
The LHS of the equation is either positive or zero.
But, the RHS of the equation is a negative value.
Therefore, RHS and LHS can never be equal.
Hence, the equation (x – 4)² = -9 has no real roots.
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The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
57cm
because you get to subtract
pls show work
Thank youuu I’ll appreciate it <3
Answers
Answer:
x = 5
Step-by-step explanation:
Jose has 3/5 kilogram of prepped mints and 2/3 kilogram of candy canes. How many kilograms of candy does he have?
Answers
Answer:
1 4/15
Step-by-step explanation:
Fractions are added using a common denominator. When the denominators have no common factors, the least common denominator is their product.
[tex]\dfrac{3}{5}+\dfrac{2}{3}\\\\=\dfrac{3}{5}\cdot\dfrac{3}{3}+\dfrac{2}{3}\cdot\dfrac{5}{5}\\\\=\dfrac{9+10}{15}=\dfrac{19}{15}=\boxed{1\dfrac{4}{15}}[/tex]
Jose had 1 4/15 kilograms of candy.
Which of the following choices are equivalent to the expression below? Check
all that apply.
318
A. (40)
B. x
c C. ()"
D. x
E. (88)
OF. (10)
Answers
Answer:
A
Step-by-step explanation:
because A is a Equivalent when you times it by 4
find the product of 0.54x2.8
Answers
Answer:
The answer is 1.512
Step-by-step explanation:
0.54x2.8= 1.512
15. When working with the expression 6(2+.03) if we multiply first before adding, that is an example
of using the
property?
Answers
Answer:
Distributive Property
Step-by-step explanation:
If you multiply first,
6(2 + .03)
6•2 + 6•.03
You must multiply the 6 times BOTH of the terms inside the parenthesis.
This is using the Distributive Property.
Wah value of c makes the equation 15-8+c=11
Answers
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{c=4}}[/tex]
[tex]\mathbb{SOLUTION:}[/tex]
Hi! Hope you are having a nice day!
Let's solve the equation for c.
First, subtract 15 and 8:
15-8+c=11
7+c=11
We can actually solve this equation using mental maths.
7+4=11, right? :)
Hope you could comprehend everything.
#CarryOnLearning
Evaluate the integral. (Use C for the constant of integration.)
2x^2+ 5x + 2/(x² + 1)2 dx
Answers
Answer:
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Method: U-Substitution
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite [Factor]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1) + 5x}{(x^2 + 1)^2}} \, dx[/tex]Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1)}{(x^2 + 1)^2}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2}{x^2 + 1}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \int {\frac{1}{x^2 + 1}} \, dx + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Trigonometric Integration: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution for the remaining integral.
Set u: [tex]\displaystyle u = x^2 + 1[/tex][u] Differentiate [Derivative Properties and Rules]: [tex]\displaystyle du = 2x \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{2x}{(x^2 + 1)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{1}{u^2}} \, du[/tex]Apply Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{u} \bigg) + C[/tex][u] Back-substitute: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{x^2 + 1} \bigg) + C[/tex]Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]∴ the integration of the given integral [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex] is equal to [tex]\displaystyle \bold{2 \arctan x - \frac{5}{2(x^2 + 1)} + C}[/tex].
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---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
PLS HELP!! (40PTS.) (PRE-CALCULUS)
Answers
Step-by-step explanation:
All of these vectors are in DE Moviere Form, so let put them in Vector notation
To this this, multiply the modulus by the exact values of trig functions,
So using this, Vector u
[tex]u= 3j + 3 \sqrt{3} i[/tex]
Vector V
[tex]v = 2 \sqrt{2} j - 2 \sqrt{2} i[/tex]
Vector W
[tex]w = - 6 \sqrt{3}j + 6i[/tex]
So know we can compete the parts.
For Part A:
We first multiply the vector U by -7 then multiply that by v.
[tex] - 7u = - 21j - 21 \sqrt{3} j[/tex]
Know we do cross product
[tex] - 7u(v) = ( - 21j - 21 \sqrt{3} i)(2 \sqrt{2} j \: + 2 \sqrt{2} i[/tex]
First, multiply the j componets.
Then, do the I componets and then add the product together.
[tex] - 42 \sqrt{2} j - 42 \sqrt{6} i[/tex]
So the answer to part A is the vector above.
Part B:
Let first find the dot product of u and w.
First, the cross product of u and w is
[tex] - 18 \sqrt{3} j + 18\sqrt{3} i[/tex]
The magnitudes of each respective vector is
6 and -12. So if we use dot product formula
[tex] \cos( \alpha ) = \frac{xy}{ |x| |y| } [/tex]
So we get
[tex] \cos( \alpha ) = \frac{ - 18 \sqrt{3} + 18 \sqrt{3} }{ - 72} [/tex]
[tex] \cos(a) = \frac{0}{ - 12} [/tex]
[tex] \cos(a) = 0[/tex]
[tex]a = \frac{\pi}{2} [/tex]
Since the angle is pi/2, the vectors are orthogonal.
Answer:
correct
Step-by-step explanation:
Given the triangles are similar. Solve for x.
1st
3.5 cm
8.4 cm
2nd
2x cm
5 cm
Answers
Answer:
6
Step-by-step explanation:
By CSSTP,
2x/8.4 = 5/3.5
2x=(8.4)(5/3.5)
2x=12
x=6
Who Logarithmic equation is equivalent to the exponential equation below? e^4c=5
A. Log 5= 4x
B. In 5= 4x
C. Log 4x= 5
D. In 4x= 5
Answers
Step-by-step explanation:
option a 5 = 4x
please mark me as brainlist pleaseAnswer:
ln 5 = 4x
Step-by-step explanation:
MATH QUESTION SCREEN SHOT DOWN BELOW
Answers
f(x)=(x-1)²-2
min point is (1,-2)
the answer is first picture