Which is the best example of a number written in scientific notation?
Answer:
It would be changing by which a person thinks.
But, I will pick 569.124.
It would be 5.69124e2. (or 5.6912 x 10^3)
Answer:
569.124
Step-by-step explanation:
problem: report error anabel's horse runs $24$ miles per hour. jackie's horse runs $28$ miles per hour. both horses stand at the starting line of a straight $2$-mile track, and jackie's horse starts running $30$ seconds after anabel's. how many miles from the starting line does jackie's horse catch up to anabel's?
The miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.
What is defined as the rate?The unit rate is distinct from the rate, which compares a certain number of units of first quantity to one unit of a second quantity. To put it another way, the second quantity with in comparison has always been 1. One minute, for example, has 60 seconds. As a result, we can convey that as 60 seconds per minute as a unit rate.Let the distance covered by Jackie's horse be 'd'.
Let the time taken be 't'.
Distance = time * rate
Jackie's horse travelled distance; d = 28t .....eq1
Anabel's horse travelled the distance d = 24t + 1/5. .....eq2
Equating equation 1 and 2.
28t = 24t + 1/5
Simplifying.
4t = 1/5
t = 1/20 hour.
The same distance can be covered in 1/20 hour ;
Put the value of t in eq 1.
d = 28t
d = 28(1/20)
d = 12/5 miles
d = 1.4 miles
Thus, the miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.
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-4/315. Alan is hiking a 70-mile-long trail. After a few days, his distance from the trail's beginning is four times as far he is from the trail's end. What's the distance Alan still has to hike
Answer:
14 miles
Step-by-step explanation:
Length of the trail = 70 miles
Let x miles be the distance that Alan has already covered from the beginning of the trial
Then the remaining distance to the end of the trail = 70 - x miles
We are given that 4 times the remaining distance is the distance already covered
Therefore x = 4(70-x)
x = 4 · 70 - 4x
x = 280 - 4x
x + 4x = 280
5x = 280
x = 280/5
or
x = 56
So distance covered = 56 miles
The distance that Alan still has to hike = 70 - 56 = 14 miles
So, the distance Alane still has to hike is the entire length of the trail, which is: y = 70 miles.
Let's start by assigning variables to the unknowns in the problem.
Let's call the distance Alan has hiked "x" and the distance he has left to hike "y". We know that the trail is 70 miles long, so we can set up an equation:
x + y = 70
We also know that after a few days, Alan's distance from the beginning of the trail (let's call that distance "d") is four times as far as he is from the end of the trail (which is 70 - d). So we can set up another equation:
d = 4(70 - d)
Simplifying this equation, we get:
d = 280 - 4d
5d = 280
d = 56
So Alan is 56 miles from the beginning of the trail and 14 miles from the end of the trail. Now we can go back to our first equation and solve for y:
x + y = 70
x + 56 + 14 = 70
x + 70 = 70
x = 0
So Alan has not hiked any distance yet, and the distance he still has to hike is the entire length of the trail, which is:
y = 70 miles
Therefore, the distance Alan still has to hike is 70 miles.
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Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
a water tank can be filled by two pipes working together in 2 hours. one of the pipes can fill the tank in 3 hours less than the other pipe. how long does each pipe take to fill the tank on its own?
Let's denote the time it takes for the slower pipe to fill the tank on its own as $x$ hours. Then, the faster pipe takes $x-3$ hours to fill the tank on its own. We can use the formula for the rate of work to set up an equation: $r_1 + r_2 = \frac{1}{2}$, where $r_1$ and $r_2$ are the rates of work for each pipe.
We can express the rate of work in terms of the time it takes for each pipe to fill the tank on its own: $r_1 = \frac{1}{x}$ and $r_2 = \frac{1}{x-3}$. Substituting these expressions into the equation above and solving for $x$, we obtain $x=2$. Therefore, the slower pipe takes 2 hours to fill the tank on its own, and the faster pipe takes $2-3=-1$ hour, which doesn't make physical sense. This means there is an error in the problem statement.
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12 POINTS I NEED SOMEONES HELP BEFORE THIS DAY FINISHES
A town has a population of 2000 and grows at 4% every year. Write an
equation to represent the scenario
Answer:
2000+ (2000× .04x)
Step-by-step explanation:
2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years
Can someone help my sis on these questions? I dont remember how to do these things (part 3)
Answer:
im pretty sure its B becuase Richard owes more
Step-by-step explanation:
is that Florida vertual school? it looks like what i used to do
David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
Solve for X. Round your answer to the nearest tenth.
I need help with these 2 questions on y=mx + c
Parallel Lines
Given the equation of a line as:
y = mx + c
The variable m represents the slope or the gradient of the line, and c represents the y-intercept of the line.
If two lines are parallel, they have the same gradient, i.e., their value of m is equal for both and c is different. Note if c was equal also, both lines would be exactly the same, not parallel.
We are given a number of pairs of lines and we must identify which pairs are parallel lines.
a) y = 3x + 4, y = 3x - 8
Comparing the values of m (the coefficient of x) in both equations, we conclude they are parallel lines since m=3 for both and c is different.
b) y = 2x - 17 , y - 2x = 17
We must express the second equation with the y isolated at the left side:
y = 2x + 17
Both lines have the same value of m=2 and different values of c, so they are parallel.
c) y = x - 4 , y = -2x - 4
The first gradient is m=1 and the second gradient is m=-2, thus these lines are not parallel
d) 3y + 3x = 9 , y = x + 3/2
Divide the first equation by 3:
y + x = 3
And solve for y:
y = -x +3
The gradient of this line is -1 and the gradient of the other line is m=1, thus these lines are not parallel.
e) 2x = y + 8 , 2y = x + 8
Solving for y both equations:
y = 2x - 8
y = x/2 + 4
The gradients are m=2 and m=1/2 respectively, thus these lines are not parallel.
f) 3 - x = 3y , y - 3x = 5
Solving for y:
y = -x/3 + 1
y = 3x + 5
The gradients are, respectively m=-1/3 and m=3, thus these lines are not parallel.
g) 4y + 8x = 0 , y = 22 - 2x
Solving for y and rearranging:
y = -2x , y = -2x + 22
The gradients are m=-2 for both lines and the values of c are different, thus these lines are parallel.
h) y = 2x - 8 , 8y + 8x = 9
Solving the second equation for y:
y = -x + 9/8
The gradients are, respectively m=2 and m=-1, thus these lines are not parallel.
The following image summarizes the results by circling the pairs of parallel lines as required.
1. A number that cannot be written as a simple fraction is​
A number that cannot be written as a simple-fraction is called an irrational number.
The "Irrational-Numbers" are defined as numbers which cannot be expressed as ratio of two integers,
The Irrational-Numbers cannot be written in form of "p/q" where "p" and "q" are integers where q ≠ 0.
The Irrational numbers are generally represented as decimal numbers that go on without repeating, for example : π = 3.14159265359... or √2 = 1.41421356237... They are infinitely precise and cannot be represented exactly in decimal form.
There are many examples of irrational numbers, and they are used in a variety of mathematical and scientific applications.
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A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Determine the following limits. Be sure to justify your work. x²-1 x1x42x² + 1 9) lim 11) lim ln(2x + 1) - ln(x + 2) x →[infinity]0 10) lim sin X→-00 3x² 12) lim 3 -πχ2 x + cos x x→[infinity]0 x² + 3x + 4 17x + 100
Given, \(x²-1/x1x42x² + 1=lim x²-1/x1x42x² + 1\)The required limit is of the form 0/0 which is an indeterminate form.
So, by using L'Hospital's rule,lim \(x²-1/x1x42x² + 1=lim d/dx[x²-1]/d/dx[x1x42x² + 1] =lim 2x/(4x^4+1/x^4)=0/1=0\)
\(Given, lim ln(2x + 1) - ln(x + 2) x →[infinity]0=lim ln(2x + 1)/(x+2) x →[infinity]0\)
The required limit is of the form ∞/∞ which is an indeterminate form.
\(So, by using L'Hospital's rule,lim ln(2x + 1)/(x+2) x →[infinity]0=lim 2/(2x+1)/(1)=2/1=2
Given, lim sin x/x²=lim 1/x(cos x/x)=lim 1/x[1/(-x)](as cos(-x)=cos(x))=-1/0-=-∞Given, lim 3 -πχ²/x + cos x x→[infinity]0=lim 3/x -πχ²/x + cos xAs x→[infinity]0, 3/x→0 and πχ²/x→0\).
Also, the cost oscillates between -1 and 1.
Thus, a limit does not exist. Given, \(lim 9x²/17x + 100=lim 9x/17 + 100/x\)
The required limit is of the form ∞/∞ which is an indeterminate form.
\(So, by using L'Hospital's rule,lim 9x/17 + 100/x=lim 9/17 + 0=9/17\)
\(Therefore, the limit of each of the given problems is as follows:lim x²-1/x1x42x² + 1=0lim ln(2x + 1) - ln(x + 2) x →[infinity]0=2lim sin x/x²=-∞lim 3 -πχ²/x + cos x x→[infinity]0=Limit Does Not Existlim 9x²/17x + 100=9/17\)
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Which boxes have a volume of 120 cubic feet? (4 points)
Box A: length of 5 ft, width of 4 ft, height of 6 ft
Box B: length of 7 ft, width of 7 ft, height of 6 ft
Box C: length of 3 ft, width of 6 ft, height of 4 ft
Box D: length of 10 ft, width of 3 ft, height of 4 ft
А, В
A, D
В, С
B, D
Answer:
A,D
Step-by-step explanation:
5x4x6=120
10x3x4=120
Answer:
A, D
Step-by-step explanation:
5 x 4 = 20 x 6 = 120
10 x 3 = 30 x 4 = 120
Therefor, A and D both equal 120 ft.
Find the distance between the two points.
Answer:
5 down 7 across
Step-by-step explanation:
What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.
Answer:
{-5,15}
Step-by-step explanation:
because this function is constantly decreasing, we can get our range by looking at the endpoints:
f(-5) = 15
f(5) = -5
can someone please help???
Answer:
2/3
Step-by-step explanation:
.that's the answer
Find the distance between the two endpoints.
(-6, 1) and (-3, 1)
Answer:
3
Step-by-step explanation:
distance formula
10) A submarine starts on the surface, and dives at an angle of depression of 13° from the surface. It goes
diagonally a distance of 890 meters before reaching the bottom. How deep is the water where the submarin
reaches the bottom? (Drawing 1 pt, distance 1.5 pts, units .5 pt)
890
The water where the submarine reaches the bottom is approximately 212.43 meters deep.
To determine the depth of the water where the submarine reaches the bottom, we can use trigonometry.
The angle of depression of 13° tells us that the submarine is diving at an angle below the horizontal line.
The distance traveled diagonally, which is 890 meters, represents the hypotenuse of a right triangle.
Using trigonometric functions, we can find the length of the adjacent side, which represents the depth of the water.
In this case, we can use the tangent function:
tan(13°) = opposite/adjacent
We know the opposite side is the depth we're trying to find, and the adjacent side is the distance traveled diagonally.
Solving for the depth:
\(depth = 890 \times tan(13) \approx 212.43 meters\).
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GIVING BRAINLIEST!!
POLY ≅ SIDE
A. List four pairs of congruent sides.
B. List four pairs of congruent angles
Answer:
ANGLES-
P=S
O=i
L=D
Y=E
SIDES-
PO=SI
OL=ID
LY=DE
YP=ES
Step-by-step explanation:
pretend the equal signs are congruency signs
Use Divergence theorem to find the flux of the vector field
F(x,y,z) = over the unit sphere x 2 + y 2 + z 2 = 1
3. Use Divergence theorem to find the flux of the vector field \( F(x, y, z)=\langle z, y, x> \) over the unit sphere \[ x^{2}+y^{2}+z^{2}=1 \]
To find the flux of the vector field \(F(x, y, z) = \langle z, y, x \rangle\) over the unit sphere \(x^2 + y^2 + z^2 = 1\), we can use the Divergence theorem. The Divergence theorem relates the flux of a vector field across a closed surface to the divergence of the vector field over the region enclosed by the surface. By applying the Divergence theorem, we can convert the surface integral into a volume integral and calculate the flux.
The Divergence theorem states that for a vector field \(\mathbf{F} = \langle F_1, F_2, F_3 \rangle\) and a closed surface \(S\) enclosing a region \(V\), the flux of \(\mathbf{F}\) across \(S\) is equal to the triple integral of the divergence of \(\mathbf{F}\) over \(V\).
In this case, we have \(\mathbf{F}(x, y, z) = \langle z, y, x \rangle\) and the unit sphere \(x^2 + y^2 + z^2 = 1\). To find the flux, we first compute the divergence of \(\mathbf{F}\), which is given by \(\nabla \cdot \mathbf{F} = \frac{\partial F_1}{\partial x} + \frac{\partial F_2}{\partial y} + \frac{\partial F_3}{\partial z}\). Evaluating the partial derivatives, we find \(\nabla \cdot \mathbf{F} = 1 + 1 + 1 = 3\).
Applying the Divergence theorem, the flux of \(\mathbf{F}\) across the unit sphere is equal to the triple integral of \(\nabla \cdot \mathbf{F}\) over the volume enclosed by the sphere. Since the unit sphere has a radius of 1, the volume integral becomes \(\iiint_V 3 \, dV\), which simplifies to \(3 \cdot \text{Volume}(V)\). The volume of the unit sphere is \(\frac{4}{3}\pi\), so the flux is \(3 \cdot \frac{4}{3}\pi = 4\pi\).
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What kind of transformation is shown in the picture?
Rotation refers to the act or process of turning or spinning around a central axis or point. In physics and mathematics, rotation describes the circular or angular motion of an object or a system around a fixed point or axis.
It involves the movement of an object or system in a circular path, where each point on the object follows the same circular trajectory.The axis of rotation is an imaginary line or point around which the object rotates. All points on the object move in circles or arcs around this axis.
The angle of rotation measures the amount of turning or angular displacement of an object or system. It is usually expressed in degrees or radians.
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Dk how to do this can sm1 explain
\(V = \frac{4}{3}\pi r^3\\r^3 = \frac{3V}{4\pi}\\r = \sqrt[3]{\frac{3V}{4\pi}}\)
\(r = \sqrt[3]{\frac{3*36\pi}{4\pi}} = \sqrt[3]{3*9} = \sqrt[3]{27} = 3\) m
Answer: B (3 m).
Х
There are twice as many women on a bus as there are
men. There are 24 women on the bus. What is the
total number of men and women on the bus?
Show work pls!
Answer:
36
x×2=24
2×=24
x=12
=24+12
=36
For problems 6-9, using the formula net Force
=
6)
a=2 m/s2
8 kg
F = m•a =
Answer:
16 Newton is the answer
Answer:
F=m.a
=8kg.2m/s²
=16kgm/s² ans/
Need help
Pls explain
9514 1404 393
Answer:
y = -1.5x +3
Step-by-step explanation:
The two points marked on the line are ...
(-4, 9) and (6, -6)
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5
The intercept formula can be used to find the y-intercept:
b = y -mx
b = 9 -(-1.5)(-4) = 9 -6 = 3
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = -1.5x +3
_____
Additional comment
We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.
The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...
m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above
That is, we can find the parameters of interest by simply counting grid squares on the graph.
Which statement is true about the following pair of rectangles? A. They are not similar because ≠ . B. They are not similar because =. C. They are not similar because ≠ . D. They are similar because =.
Answer:
D they are similar
Step-by-step explanation:
they are similar
bc all of the other statements say why they aren't similar which some are true but more than one therefore the statement that would be correct is D because
3 / 30 are equal
by 10
and
6/60
are also equal by
10
there like I exclaimed before they are equal
Marquis has a gross pay of $816. By how much will his gross pay be reduced if Marquis has the following items withheld?
federal tax $92
SS Tax 50.59
Medicare Tax 11.83
State Tax 20.24
$174.66
need help on this question !!!
5/8-11/20=?
Help what’s the answer I’m stuck on finding the LCM of the denominators
Answer:
3/40
Step-by-step explanation:
\(\frac{5}{8} - \frac{11}{20}\) \(\frac{25}{40} - \frac{22}{40}\) (LCM is 40)\(\frac{25-22}{40}\) \(\frac{3}{40}\)Therefore, the answer is 3/40!