Answer:
First we should convert this mixed number into an improper fraction :
[tex]-64\frac{1}{3} = -\frac{193}{3} \\[/tex]
Now we can simplify it much easier! :
Oh but wait! It's already in the simplified form as it can be!
How many Egyptian numerals (total) are needed to represent the following problem?
X + 2 (x + 1) + 1 in the simplest form
Answer:
3x + 3
Step-by-step explanation:
First, the 2 must be distributed. This leaves us with x + 2x + 2 + 1. x and 2x are like terms, as are 2 and 1. They can be combined, giving us 3x + 3. 3x + 3 cannot be simplified any further, so it is the final answer.
Question: X + 2 (x + 1) + 1 in the simplest form
Answer: 3x+3
It costs a total of R138.90 to purchase 10 loaves of bread and 12 litres of cooidrinks in a store. If the store raises the price of bread by 20% and the price of cooldrinks by 10%, the total price of these items becomes R159.54. Find the original price of three loaves of bread and two litres of cooldrinks.
9514 1404 393
Answer:
R32.15
Step-by-step explanation:
Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...
10x +12y = 138.90
10(1.2x) +12(1.1y) = 159.54
Multiplying the first equation by 1.2 and subtracting the second gives ...
1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)
1.2y = 7.14 . . . . collect terms
y = 5.95 . . . . . divide by 1.2
The value of x can be found from the first equation.
10x + 12(5.95) = 138.90
10x = 67.50 . . . . . . . . . . . subtract 71.40
x = 6.75 . . . . divide by 10
Then the value of 3x+2y is ...
3(6.75) +2(5.95) = 32.15
The original price of 3 loaves and 2 liters is R31.15.
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.
Check all of the correct names for the object pictured below.
A. UT
B. TU
C. UT
D. TU
E. TU
DE UT
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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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
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
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.
I WILL GIVE YOU BRAINLIEST 25 POINTS ASAP NO LINKS
Use the following data and graph the best-fit quadratic curve. What is a good approximation for the value of c?
A) 2
B) 1
C) 3
D) -2
Answer:
C) 3
I played a while with desmos. when I diverge from c=3 it seems impossible to fit the graph even remotely to the point, the lowest point won't fit if it isn't 3
note that it's still just the best approximation out of the 4 given options
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
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 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.
What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?
Answer:
60
[tex]2^{2} * 3 * 5[/tex]
Step-by-step explanation:
Determine the value of x.
Answer:
x=10
Giving brainiest would be appreciated! :D
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
Solve the inequality for s:
5s + 2 > 7
Answer:
Answer:
S>1
Step-by-step explanation:
5s + 2 > 7
Subtract 2 from both sides
5s>5
Divide 5 from both sides
S>1
Solution of the inequality is s>1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.
Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.
The inequality sign must be reversed if either side is multiplied or divided by a negative number.
5s+2 > 7
Subtracting 2 on both side,
5s > 5
s>1
Therefore, the solution set of inequality is s>1.
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plsss help !!
Jack and Grace went to the store to buy flowers. Jack bought 3 carnations and 5 roses for a total cost of $22.50. Grace bought 3 carnations and 2 roses for a total cost of $13.50. what does one carnation and one rose cost?
Answer:
carnation $2.50; rose $3.00
Step-by-step explanation:
Let c = price of 1 carnation.
Let r = price of 1 rose.
3c + 5r = 22.5
3c + 2r = 13.50
Subtract the se3cond equation from the first equation.
3r = 9
r = 3
Now substitute r = 3 in the first equation and solve for c.
3c + 5r = 22.5
3c + 5(3) = 22.5
3c = 7.5
c = 2.5
Answer: carnation $2.50; rose $3.00
Write - 32/12 as a mixed number in reduced form.
Answer: -2 2/3 or -8/3
Step-by-step explanation:
Hope this help
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]
What is excel and how does it work?
Answer:
Excel is a handy software that can be used to store and organize many data sets. Using its features and formulas, you can also use the tool to make sense of your data. For example, you could use a spreadsheet to track data and automatically see sums averages and totals.
Step-by-step explanation:
Go to this website it will answer your question:) The link is below
https://blog.hubspot.com/marketing/how-to-use-excel-tips
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
How is the product of a complex number and a real number represented on the coordinate plane?
A. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
B. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a countercockwise rotation of 90 degrees of the complex number.
C. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a clockwise rotation of 90 degrees of the complex number.
D. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows the product is a counterclockwise rotation of 90 degrees and a scalar of the complex number.
Please help I don't know which one.
Answer:
A
Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A
When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
What is a complex number?"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"
What are real numbers?"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"
For given example,
The product of a complex number and a real number.
Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.
The product of 'u' and 'x + iy' is,
[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]
Let [tex]2+3i[/tex] be a complex number.
For [tex]u=4[/tex],
[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]
Let [tex]u=-2[/tex],
[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]
We can observe that, the product is a scalar of the complex number.
Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
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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?
8 subtracted by 1/3 + 2/3 equals?
Answer:
8-1/3=7 2/3+2/3=8 1/3
Step-by-step explanation:
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
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.
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
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
Select the correct systems of equations.
Identify the systems of equations that have A as their point of interest
Answer:
quads
Step-by-step explanation: