Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
Please take a look at the picture
Answer:
A) -3/-11
Step-by-step explanation:
-3/-11-3/11
-3/-11
Reduce the fraction with -1.
3/11
Hope this help :)
Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all denominators.)
[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]
solve pls brainliest
Answer:
Mixed number: 5(1/10)
Improper fraction: (51/10)
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: 5 1/10 and improper fraction: 52/10
Can someone help me on this? Thanks!
Answer:
it's the graph c
Step-by-step explanation:
(0, -2)
(1, 0)
(2, 2)
What is 1/3÷1/2 math answers?
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
Elli left home8:30 and returned at 1:25how long was she away from home?
Answer:
3 hours and 45 minutes assuming its from am to pm
Step-by-step explanation:
Hope This Helps
(3[tex]x^{2}[/tex]+[tex]y^{2}[/tex])Y+([tex]y^{2}[/tex]-[tex]x^{2}[/tex])x×[tex]\frac{dy}{dx}[/tex]=0
It looks like the given differential equation is
(3x² + y²) y + (y² - x²) x dy/dx = 0
Multiply both sides by 1/x³ to get
(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0
(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)
Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:
(3 + z²) z + (z² - 1) (x dz/dx + z) = 0
(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0
(z² - 1) x dz/dx = -(2z³ + 2z)
x dz/dx = (2z³ + 2z)/(1 - z²)
(1 - z²)/(2z (z² + 1)) dz = dx/x
Integrate both sides. On the left, split up the expression into partial fractions.
[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]
[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]
[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]
for which we find a = 1, b = -2, and c = 0:
[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]
Integrating and simplifying yields
1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x
1/2 (ln|z| - ln(z² + 1)) = ln|x| + C
1/2 ln|z / (z² + 1)| = ln|x| + C
ln(√(z/(z² + 1))) = ln|x| + C
exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]
√(z/(z² + 1)) = exp[ln|x|] exp[C]
√(z/(z² + 1)) = Cx
z/(z² + 1) = Cx²
Replacing z = y/x then gives us an implicit solution of
(y/x) / (y²/x² + 1) = Cx²
xy / (y² + x²) = Cx²
y / (y² + x²) = Cx
y = Cx (y² + x²)
Cxy² - y + Cx³ = 0
though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with
y = (1 + √(1 - Cx⁴))/(Cx)
(the other solution only differs by the sign on the square root)
what is the slope will mark brainlist
The equation of slope is y2 - y1/x2 - x1
0 - 4/0 - 5
-4/5
Another method in image added.
I have more questions then this
Answer:1-1/3
2-16 in.
3-10.49
4-1/10
Step-by-step explanation:
i hope this helps
For a function to be inverse, it must be
Answer:
look at the explanation
Step-by-step explanation:
for f(x) and g(x) to be inverse,
f(g(x))=g(f(x))=x
Evaluate 4x squared - 8x + 8 when x = -6
Answer:
44
Step-by-step explanation:
√4×-6+8×6+8=2×-6+48+8
-12+48+8
=48
Hey there!
4x^2 - 8x + 8
= 4(-6)^2 - 8(-6) + 8
= 4(6)(6) - 8(-6) + 8
= 4(36) - (-48) + 8
= 144 - (-48) + 8
= 144 + 48 + 8
= 192 + 8
= 200
Therefore, your answer is: 200
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?
Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
what is x over 5 = -3 find x value
5*-3=-15
x=-15
hope this helps
Answer:
x = -15
Step-by-step explanation:
[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]
The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)
The statement is true: the area under the graph line made with the x-axis
represents the change in position of the object on a velocity versus time
graph.
Reasons:
[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]
The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.
A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.
Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.
Learn more here:
https://brainly.com/question/18910091
Answer: True
Step-by-step explanation:
A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the students
Answer:
The correct answer is 66,045
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If a submarine dives 378 feet in 14 seconds, the average change in elevation is feet per second.
Answer:
27 feet per second.
Step-by-step explanation:
You already have your time unit in second and length measurement in feet so just divide the two 378/14=27 feet per second.
Answer:
-27 feet per second
Step-by-step explanation:
378 ÷ 14 = 27
because the submarine is going down, the sign has to be negative
Quick Computing installed its previous generation of computer chip manufacturing equipment 3 years ago. Some of that older equipment will become unnecessary when the company goes into production of its new product. The obsolete equipment, which originally cost $40 million, has been depreciated straight-line over an assumed tax life of 5 years, but it can be sold now for $18 million. The firm’s tax rate is 35%. What is the after-tax cash flow from the sale of the equipment?
The company's after-tax cash flow is a measure of the company's cash
generation ability.
The after-tax cash flow from the sale of the equipment is $16.1 millionReasons:
The given parameter are;
Original cost of the equipment = $40 million
The type of depreciation = Straight line depreciation
Number of years of depreciation = 5 years
Current price at which it can be sold = $18 million
The tax rate of the firm = 35%
Required:
The after-tax cash flow from the sale of the equipment.
Solution:
The Cash Flow After Tax, CFAT, is given as follows;
CFAT = Net income + Amortization + Depreciation + Other non-Cash Cash Charges
The annual depreciation is given as follows;
[tex]Annual \ depreciation = \dfrac{\$40 \ million - \$18 \ million}{5 \ years} = \$4.4 \ million \ per \ year[/tex]
Selling the equipment gives;
The Earnings Before Tax (EBT) = $18 million
The Net Income = Income - Tax = $18 million - (35% × $18 million)
The Net Income = $11.7 million
Cash Flow After Tax CFAT = Net income + Depreciation
∴ CFAT = $11.7 million + $4.4 million = $16.1 million
The after-tax cash flow = $16.1 millionLearn more here:
https://brainly.com/question/15057869
solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
Answer:
3/4x - 5 = x
= -3/10 -> -0.15
2 Decimal places = 0.150
what are the relationships between inscribed, central, and circumscribed angles of a circle?
Answer:
Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2
Step-by-step explanation:
PA BRAINLIEST
What are the odds of not rolling a three on a standard six-sided die?
Answer:
5/6
Step-by-step explanation:
Hope this is helpful
Answer:
5/6
Step-by-step explanation:
See attached question
Answer:
Its 34 times 87
Step-by-step explanation:
34 times 87 is 2958
what is the slope and the y intercept of y= -9x + 15
Answer:
Step-by-step explanation:
the slope for y = -9x + 15
Slope: -9
y-intercept: y= -9(0) + 15 = 0 + 15 = 15
(0, 15)
Answer:
-9
(0, 15)
Step-by-step explanation:
y = mx + c
y = -9x + 15
so m = -9
y intercept is when x = 0
c = 15
(0, 15)
select all the ways you can describe the given polygon
Answer:
Isoceles and obtuse
Step-by-step explanation:
how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.
it will be 36
Step-by-step explanation:
fgdsb b zgffhxgv
Find the derivative of the function y = ln(3t+4)
Answer:
3 / (3t+4) is the answer
The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .
Answer:
b) quotient
Step-by-step explanation:
divisor is the number/value you are dividing with.
A remainder is a number that remains after you divide.
A factor is a number that can divide into a number or numbers without leaving a remainder
Answer this please not links-
Answer:
I believe it's 9 hope this helps
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
°F
Answer: 33.5
Step-by-step explanation:
the answer is: 58.95
i took the test
Someone please help...I hate IXL smh
Answer:
The slope is 10.
Step-by-step explanation:
It starts at 30, then 40, then 50 and so on so forth.
That being said the answer is 10.
Also, I hate IXL as well, but, I hope I helped.
Let me know if I got it correct.
- Abigail (:
y=x+30 is the equation of the line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points through which the line passes is (0,30) and (20,50).
Slope = 50-30/20-0
=20/20
=1
Now let us find the y intercept.
Let us consider any point (0, 30).
30=1(0)+b
b=30
Hence, y=x+30 is the equation of the line in slope intercept form.
To learn more on slope of line click:
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PLEASE HELP I will mark you BRAINLIST
Answer:
Angle B: 180-135=45° - supplementary angle rule
Angle C: 180-45-70=65° - sum of interior angles of triangle is 180
Angle D= Angle B : 45° - Alternate interior angles
Angel E=Angle A: 70° - Alternate interior angle.
Angle F: 180-Angle E(70) = 110° - supplementary angle rule
Step-by-step explanation: