Answer:
5
Step-by-step explanation:
One is given that the scale factor to get from triangle (ABC) to triangle (DEF) is ([tex]\frac{1}{2}[/tex]). This essentially means that one has to multiply the sides of (ABC) by ([tex]\frac{1}{2}[/tex]) to get the corresponding side in the triangle (DEF).
As one can see, side (AB) corresponds to side (DE), therefore, multiply the length of (AB) by ([tex]\frac{1}{2}[/tex]) to get the side of (DE).
AB * [tex]\frac{1}{2}[/tex] = DE
Substitute,
[tex]10*\frac{1}{2}=DE[/tex]
Simplify,
[tex]5=DE[/tex]
([tex]ED[/tex]) is another way of naming segment ([tex]DE[/tex]) this is explicitly clear from the diagram of the tirnagles.
32,131 round this to two decimal places
Answer:
Is 32,13
Step-by-step explanation:
Because one is not bigger than five so it disappears.
Help ASAP please!!
For a proof by induction of the math statement below,
identify the correct step for proving the theorem is true
for n=k+1
2+4+6+...+2n=n(n+1)
Answer:
2+4+6+...+2k+2(k+1) = k(k+1) + (k+1)(k+1)
Step-by-step explanation:
Proved case for n
2+4+6+...+2n = n(n+1) ................(1)
for n = k + 1, we replace n by k and add n = k+1 on both sides (
2+4+6+...+2k+2(k+1) = k(k+1) + 2(k+1))
rearrange by factoring the right-hand-side
2+4+6+...+2k+2(k+1) = (k+1)(k+2)
which if we substitute n=k+1, we get back
2+4+6+...+2(n-1) + 2(n) = n(n+1) ...............(2)
This means that equation (1) is applicable to case n+1, and the proof by induction is completed.
Find the position vector of a particle that has the given acceleration and the specified initial velocity and position.a (t) = 8t i + sin t j + cos 2t k, v(0) = i, r(0) = jr(t) = ?(b) On your own using a computer, graph the path of the particle.
Answer:
remember that:
a*i + b*j + c*k can be written as a vector: (a, b, c)
We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.
a(t) = (8*t, sin(t), cos(2*t))
integrating that, we get:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0
where v0 is the vector that defines the velocity at t = 0
in the question you wrote:
V(0) = i
so i suppose that this is:
V(0) = (1, 0, 0)
Then the velocity equation gives:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)
V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)
Now to get the position equation, we integrate it again
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0
where r0 is the initial position, in the question you wrote:
r(0) = j
so we get:
r(0) = (0, 1, 0)
replacing that we get:
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)
r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)
Writing this in the same notation than in the question, we get:
r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k
b) Now we want to graph this:
The image isn't really good but can be used to understand the motion of the particle.
How do you solve a system of linear equations by graphing?
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
How many Egyptian numerals (total) are needed to represent the following problem?
A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks will he have left?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
PLS HELP TYSMMMM <33333333333333333333333333
Answer:
dvide 54 by 6 then the answer you get subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer
Step-by-step explanation:
remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first ( btw your answer is ( 3 )
What does it mean when an investor buys stock from a company?
Answer:
It means that the investor is purchasing a piece of that company, called a share.
Step-by-step explanation:
Hope this helps
The solution is : 300 shares of Company X stock does the investor own.
A) 300 shares
B) 300 shares
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
Explanation:
Let the total shares owned be 'S'
Data provided in the question:
Shares of Company X stock = 30% of S = 0.3S
Shares of Company Y stock = 1/7 of remaining stock
i.e 1/7 of (S - 0.3S) = 1/7 of 0.7S = 0.1S
Now,
A) The investor owns 100 shares of Company Y stock.
This mean
0.1S = 100
Therefore,
S = 1000 shares
Hence,
Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300
B) The investor owns 200 more shares of Company X stock than of Company Y stock.
This means
0.3S = 200 + 0.1S
or
0.3S - 0.1S = 200
or
0.2S = 200
or
S = 1000 shares
Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300.
The solution is : 300 shares of Company X stock does the investor own.
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Complete question:
Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?
A) The investor owns 100 shares of Company Y stock.
B) The investor owns 200 more shares of Company X stock than of Company Y stock.
select an expression that is equivalent to 4√x2/3
A x14x14
B x94x94
C x16x16
D x83x83
Answer:
here is your answer
Step-by-step explanation:
here is your answer
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
Answer:
20% chance of h
40% chance of p
If a1 = 4 and an = (an-1)^2 + 3 then find the value of a4.
9514 1404 393
Answer:
a4 = 132,499
Step-by-step explanation:
Use the recursive relation repeatedly.
a1 = 4
a2 = (a1)² +3 = 4² +3 = 19
a3 = 19² +3 = 364
a4 = 364² +3 = 132,499
A saleswoman sells a dried-fruit mixture for $5.60 per pound and nuts for $14.25 per pound. She wants to blend the two to get a 15-lb mixture that she will sell for $9.06 per pound. How much of each should she use? Solve using matrix
Answer:
Nuts= 2.56
Dried fruit= 12.44
Step-by-step explanation:
x + y = 15
5.6 x + 14.25 y = 9.06 * 15
~~~~~~~~~~~~~~~~~~~~~
x = 15 - y
5.6 x + 14.25 y = 134.9
~~~~~~~~~~~~~~~~~~~
5.6(15 - y) + 14.25 y = 134.9
84 -5.6y + 14.25y = 134.9
19.85y - 50.9
y = 2.56
x= 12.44
Determine the value of x.
Answer:
x=10
Giving brainiest would be appreciated! :D
Juan's work for solving by completing the square is below. In which step (if any) does Juan make a mistake?
(SEE PICTURE FOR STEPS)
Step 4
Step 1
Juan does not make a mistake.
Step 3
The solution is : x = 19 is the extraneous solution Li Juan obtained.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, we have,
The given equation is 13 - 2w = w + 6.
We need to solve the equation by squaring both sides of the equation.
Now, 13 - 2w = w + 6 squaring both sides of the equation.
That is, (13-2w)²= 169 - 52w + 4w²
(w+6)²= w²+ 12w + 36
Setting them equal, we get
169 - 52w + 4w² = w² + 12w + 36
⇒3w²- 64w + 133 = 0
Now, using the quadratic formula, we get
x = (64±√(64² - 4×3×133))/6
⇒x = (64±√2500)/6.
⇒x = (64±√50)/6.
⇒x = 19 or 14/6 = 7/3.
Solving the original equation, we get
7 = 3w⇒w = 7/3
Therefore, x = 19 is the extraneous solution Li Juan obtained.
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complete question:
Li Juan solves the equation below by first squaring both sides of the equation.
13 - 2w = w + 6
What extraneous solution does Li Juan obtain?
Help me i think it’s c
Answer: Graph B
=====================================================
Explanation:
Point A appears to be at (2.5, -1)
If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5
If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3
Overall, the point A(2.5, -1) moves to A'(-3.5, 3)
Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.
13. Find the area of the parallelogram.
Answer:
Step-by-step explanation:
make it 1 triangle and trapezium
1) 1/2 x 7 x 8 = 28 in2
Answer:
56 in^2
Step-by-step explanation:
A = b* h
A = (8) * (7)
A = 56
A = 56 in ^2
Hope this helps!
What is my answer if I Add
-9+84+(-2)
Answer:
73
Step-by-step explanation:
-9+84+(-2) =
-9+82 =
= 73
Hope this helps
If function f has zeros at -3 and 4, which graph could represent function f?
Answer:
A
Step-by-step explanation:
f has zero means that f(x)=0
if f(x)=0 we have to look intersection point or points in the graph on the x-axis.
for A
y=0
x=-3, x=4
for B
y=0
x=-4, x=3
for C
y=0
x=-4, x=-3
for D
y=0
x=3, x=4
please help. having trouble with this question.
Answer:
Step-by-step explanation:
The problem told you what all the variables represent, so all we have to do it fill them in accordingly and solve:
[tex]V=6440e^{(.068)(8)}[/tex] and
[tex]V=6440e^{.544}[/tex] and
V = 6440(1.7228846) so
V = $11,095.38
Keenan is throwing an Independence Day party he wants to buy sparklers each pack of 12 smugglers cost $3.99 kina needs 120 sparklers that each gas can have two how much will Keenan spend on sparklers?
Answer:
$478.8
Step-by-step explanation:
1 sparkler costs= $3.99
120 sparklers cost= $3.99 x 120 = $478.8
A high school has 32 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 233 pounds
Answer:
[tex]\% = 11.96\%[/tex]
Step-by-step explanation:
Given
See attachment for box plot
Required
Percentage greater than or equal to 233
From the box plot, the maximum is:
[tex]Max = 244[/tex]
The minimum is:
[tex]Min = 152[/tex]
Percentage greater than 233 is calculated as:
[tex]\% = \frac{Max - 233}{Max - Min}[/tex]
[tex]\% = \frac{244 - 233}{244-152}[/tex]
[tex]\% = \frac{11}{92}[/tex]
Express as percentage
[tex]\% = \frac{11}{92}*100\%[/tex]
[tex]\% = \frac{1100}{92}\%[/tex]
[tex]\% = 11.96\%[/tex]
High School Dropouts
Number of Dropouts
1990
2000
Male
Female
MAMD.M.D.3: Which of the
following is true about the graph?
Answer:
There are more females dropping than males each year and that there are more females than males
Which graph represents the function f(x)=|x|-4?
See the graph in the attached image.
In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round
Answer:
120 free throws
Step-by-step explanation:
If she misses 15% of her free throws, that means she makes 85% of them.
Find how many she attempted by dividing 102 by 0.85:
102/0.85
= 120
So, she attempted 120 free throws
The number of free throws that were attempted is 120 free throws.
Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:
= 100% - 15% = 85%
Therefore, 85% of x = 102
0.85x = 102
x = 102/0.85.
x = 120
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https://brainly.com/question/23392992
check your solution. (Some equations have no solution
If there is no solution, enter NO SOLUTION. there are Infinitely many solutions, enter INFINITELY MANY)
5 - x = 13?..
Answer:
x=8
Step-by-step explanation:
5-x=13
5-5=0
13-5=8
x stays because its a variable
x=8
one solution
A spinner with 8 equal-size sections labeled as shown is spun 200 times. What is the sample
space for this experiment?
Answer:
hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and
Find mzmon???????????
Answer:
angle MON = 57 degree
Step-by-step explanation:
Angle LOM + Angle MON =90 degree (being perpendicular)
3x- 15+5x -23 = 90
8x -38 = 90
8x = 90 + 38
8x = 128
x = 128/8
x = 16
Angle MON
5x - 23
5*16 - 23
80 - 23
57 degree
Angle LOM
3x - 15
3*16 - 15
48 - 15
33 degree
g At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship B is sailing north at 25 knots. How fast (in knots) is the distance between the ships changing at 4 PM
Answer:
[tex]\triangle d=47.69 Knots[/tex]
Step-by-step explanation:
Distance of Ship A from B [tex]d_1=10 West[/tex]
Speed of Ship A [tex]V_a=17 knots West[/tex]
Speed of Ship A [tex]V_b=25 knots North[/tex]
Generally the equation for Rate of distance change is mathematically given by
[tex]\triangle d=\frac{1}{2\sqrt{(17t+10)^2+(25t)^2}}*\triangle t[17t+10^2+25t^2][/tex]
[tex]\triangle d=\frac{578+340+1250}{2\sqrt{(17t+10)^2+(25t)^2}}[/tex]
Therefore with
t=>4PM
We substitute
[tex]\triangle d=\frac{882(4)+420+648(4)}{2\sqrt(21(4)+10^2)+(18(4))^2}[/tex]
[tex]\triangle d=47.69 Knots[/tex]
Solve for x. Resuelve la x. 5 (4 + 2x) < 40
Step 1: Simplify both sides of the inequality.
10x+20<40
Step 2: Subtract 20 from both sides.
10x+20−20<40−20
10x<20
Step 3: Divide both sides by 10.
[tex]\frac{10x}{10}[/tex] < [tex]\frac{20}{10}[/tex]
x<2
+
y.com/student/dashboard/home
D
Solving Systems of Linear Equations Algebraically - Qutz - Level H
Question 7
Solve.
3
b=0
a + b = 21
a = 20
a = 12
a = 20
a = 37
b = 11
0 = 371
%
b = 9
b = 15
b = -16
ET
6:26