Answer:
3.4156020*10^-1 for scientific notation if you want to keep that ending zero (I'd normally write it 3.415602*10^-1)
Step-by-step explanation:
So the idea of scientific notation (or engineering notation) is to make things smaller and more manageable. The idea is to move the variables so that one is in front of the point.
So if you had something like this:
12342300000000000000
It'd be equal to 1.23423*10^19
Or something like this
0.0000095675
Would be 9.5675*10^-6
Can someone help me with this question?
Answer:
Dood am so tripped out
Step-by-step explanation:
What’s the answer to the question I’m confused
let's move like the crab, backwards, let's get hmmm EF first
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)
\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)
Make sure your calculator is in Degree mode.
A skydiver free falls from a plane 200 feet above the ground. Which of the following equations could represent the height of the skydiver as a function of time?
1. h(t) = -16t2 + 200t
2. h(t) = t2 + 199
3. h(t) = -16(t - 3) + 200
4. h(t) = -16t2 + 200
Answer:
Katie,
Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:
h = (3200 ft) - (160 ft/s)·t
As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s
Answer:
h(t) = -16t^2 + 200
Step-by-step explanation:
Use the shell method to find the volume of the solid generated by revolving the plane region about the line x
To find the volume of the solid generated by revolving the plane region about the line x using the shell method, we need more specific information about the given plane region and the boundaries of integration.
The shell method is a technique used to calculate volumes of solids of revolution. It involves integrating cylindrical shells along the axis of rotation. However, in order to apply the shell method, we require additional details regarding the given plane region and the boundaries of integration.
Typically, the plane region is defined by a function or an equation. For example, if the plane region is bounded by the curves y = f(x), y = g(x), and the line x = a, x = b (where f(x) > g(x) for all x in the interval [a,b]), we can proceed with the shell method.
To calculate the volume using the shell method, we integrate the circumference of each cylindrical shell multiplied by its height. The differential height is given by Δh = f(x) - g(x), and the differential circumference is 2πx.
The integral expression for calculating the volume using the shell method is:
V = ∫[a,b] 2πx * (f(x) - g(x)) dx
By evaluating this integral over the appropriate interval [a,b], we obtain the volume of the solid generated by revolving the given plane region about the line x.
However, without specific information about the plane region, the equations or functions defining it, and the boundaries of integration, it is not possible to provide a numerical value for the volume. If you can provide more details or specify the plane region, I would be happy to assist you further in using the shell method to determine the volume.
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Pleaseeee answer for me!
The value of n in the given equation is determined as 5.
option C.
What is the value of n?The value of n in the given equation is calculated by applying the following method of simplification.
2n / (n - 5) + (4n - 30) / (n - 5) = n
Since the common denominator is n - 5, multiply through by n - 5;
2n + (4n - 30) = n(n - 5)
6n - 30 = n² - 5n
n² - 11n + 30 = 0
Factorize the expression as follows;
n² - 5n - 6n + 30 = 0
n(n - 5) - 6(n - 5) = 0
(n - 6)(n - 5) = 0
n = 5 or 6
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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8
Answer:
Step-by-step explanation:
The slope of the line is m = -5
4 is your x1
-3 is your y1
Plug into the equation y - y1 = m(x - x1)
y + 3 = -5(x - 4)
y + 3 = -5x + 20
-3 -3
y = -5x + 17
For the graph of: f (x) = 2²x+1 Fill in the ordered pair: (1,?)
For the equation f(x) = 2^(2x+1), when x = 1, the y-coordinate is found by substituting x into the equation, resulting in y = 8.
To determine the y-coordinate for the ordered pair (1, ?) on the graph of f(x) = 2^(2x+1), we substitute x = 1 into the equation.
By plugging in x = 1, we get f(1) = 2^(2(1)+1) = 2^(2+1) = 2^3 = 8.
Therefore, the y-coordinate for the ordered pair (1, ?) on the graph of f(x) = 2^(2x+1) is 8.
In the given equation, f(x) = 2^(2x+1), the exponent (2x+1) represents the power to which 2 is raised. When x = 1, the exponent becomes 2(1) + 1 = 2 + 1 = 3. Substituting this value back into the equation gives us f(1) = 2^3 = 8. Hence, the y-coordinate for the ordered pair (1, ?) on the graph of f(x) = 2^(2x+1) is 8. This means that when x equals 1, the function f(x) yields a value of 8, indicating the point (1, 8) on the graph.
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A manafacturing plant earned $80 per a man hour of labor when it opened. Each year, the plant earns an addition 6% per man hour. WhIch expression hives the amount the plant earned per a man hour of labor 3 yeard after it opened
Answer: $94.40
The plant earned $94.40 per man hour of labor three years after it opened.
Help !!! Compare the average rate of change of the two functions below. Which function has the greater average rate of change over the interval [1, 2] ??
Function A: g(x)=x^2+4x−8
Function B: h(x)=x^2−3x+6
Function A has the greater average rate of change over the interval [1, 2].
The two function have the same average rate of change over the interval [1, 2].
Function B has the greater average rate of change over the interval [1, 2].
Answer: I don’t know what it is but did you get the answer if so please
Step-by-step explanation:
help me
Ricky's football team scored only 15 times this season.
Every touchdown gave them 7 points (they missed no extra
points) and each field-goal gave them 3 points. They scored 77
points (total) this season.
TRUE OR FALSE:
Answer:
False 15 times 7= 105
7. If the bisection method is used starting with the interval [2, 3], how many steps must be taken to compute a root with absolute accuracy < 10-69 Answer the same question for the relative accuracy. What about to full single precision on the Marc-32 in each case?
In order to roughly determine the roots of the given equation, the bisection method divides the interval several times.
What is Bisection Method?In order to get close to the equation's roots, the bisection method divides the interval several times.
This strategy is based on the continuous functions intermediate theorem. It works by reducing the gap between the positive and negative intervals as it approaches the desired response.
This method narrows the gap between the variables by averaging the positive and negative intervals. Even though it is a simple process, it proceeds slowly.
The bisection method is also known as the dichotomy method, binary search method, and root-finding method.
Then, according to the intermediate theorem, there is a point x that is a part of (a, b) and has the value f(x) = 0.
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if p = 2-5 and q = 8x3 find 3p-q
Answer:
3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.
the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d ?
Answer:
c = 20d + 15
Step-by-step explanation:
answer choices may help if the answer is not one of the choices; but here is the answer that it should be:
20 dollars per day is 20 times the length of rental.
15 is a cost that is added and does not change.
c = the total cost therefore:
c = 20d + 15
CORRECT ANSWER GETS BRAINLIST
Answer:
y = -1x + 1
Step-by-step explanation:
y = mx + c
y = gradient(x intercept) + y intercept
y = -1x + 1
Let A {2, 3, 4}, B = { 3, 4, 5, 6}, and suppose the universal set is U = {1, 2, ..., 9}. List all elements in
a. (A U B)' (' - means complement)
b. (A ∩ B) x A
The solutions are: (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.
a. (A U B)' represents the complement of the union of sets A and B. To find (A U B)', we need to list all the elements in the universal set U that are not in the union of sets A and B. The union of sets A and B, A U B, includes all the elements that are in either set A or set B (or both). So, A U B = {2, 3, 4, 5, 6}. The complement of A U B, (A U B)', will contain all the elements in the universal set U that are not in the set A U B. Therefore, (A U B)' = {1, 7, 8, 9}.
b. (A ∩ B) x A represents the Cartesian product of the intersection of sets A and B with set A. To find (A ∩ B) x A, we need to list all possible ordered pairs that can be formed by selecting one element from the intersection of sets A and B and pairing it with an element from set A. The intersection of sets A and B, A ∩ B, contains the elements that are common to both sets A and B. In this case, A ∩ B = {3, 4}.
Now, we take each element from A ∩ B and pair it with each element from set A. So, (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}. Therefore, (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.
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Write the expression without the fraction bar.
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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What is the product of (2p 7)(3p2 4p – 3)? 6p3 29p2 – 34p 21 6p3 29p2 – 22p 21 6p3 29p2 22p – 21 6p3 29p2 34p – 21
The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
What is the product of two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation provided in the form of binomial as,\(2p+ 7\)
The second equation provided in the form of quadratic equation as,\(3p^2 +4p-3\)
The product of these two equations are,
\(P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21\)
Arrange the equation with the same power terms,
\(P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21\)
Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
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please answer now!!!
Answer:8
Step-by-step explanation:
4x4=16 divided by 2 is 8
A mathematical representation
of two things which are
equal.
a.equality
b. inequality
c. variable
d. equation
Can someone please help me ASAP? It’s due today. I will give brainliest if it’s correct
Answerthe first one
Step-by-step explanation:
350 is 6x50
there is 6x17 milk chocolate
42 milk chocolates b c d are wrong
In real life, the Mona Lisa measures 2 1/2 feet by 1 3/4 feet. A company that makes office supplies wants to print a scaled copy of a notebook that measures 11 inches by 9.
what size (in inches) should they use for the scaled copy of the Mona Lisa on the notebook cover so that the picture is as big as it can possibly be, but still fit on the paper?
Answer:
The size in inches for the scaled copy of the Mona Lisa on the notebook cover is 11 inches by 7.7 inches
Step-by-step explanation:
The given parameters are;
The real life measurement of the Mona Lisa = 2 1/2 feet by 1 3/4 feet
The size of the notebooks made by the company = 11 inches by 9 inches
The ratio of the real life dimension is 2 1/2 to 1 3/4 which is 10 to 7
The ratio of the notebook dimension is 11 to 9,
The expected ration for the notebook = 11/x = 10/7, which gives x = 7.7
The area of the figure becomes 11 × 7.7 = 84.7
Similarly, we have x/9 = 10/7, which gives x = 90/7 = 12 6/7 > 11
Therefore, the maximum possible size in inches for the scaled copy of the Mona Lisa on the notebook cover so that the picture is as big as it can possibly be, but still fit on the paper is 11 inches by 7.7 inches.
Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
The correct option is Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction
Emanuel did a mistake in her first step by taking negative sign twice.
What is multiplicative rule with different sign ?Positive results are obtained if the sign are same. If the signs disagree, the outcome is adverse. Addition: Keep in mind that a signed number's magnitude and absolute value are the same.
Multiplication and division appear to be more difficult than addition and subtraction, but they are actually far less challenging. The result of multiplying two positive or two negative numbers with the same sign, according to the rule, will always be positive.
For instance:
8 x 4 = 32(-8) x (-4) = 3210 x 9 = 90(-10) x (-9) = 90According to question,
= \(\left(\frac{3}{5}\right)\left(\frac{4}{9}\right)\left(-\frac{1}{2}\right)\)
Emanuel found the solution, but she erred in the first step. She incorrectly distributes the negative sign with both 1 and 2, as she should. We can write negative sign with either 1 or 2 but not both.
Correct steps are:
Step 1:
\(\frac{(3)(4)(-1)}{(5)(9)(2)}\)
Step 2:
\(\frac{-12}{90}\)
Step 3:
\(-\frac{2}{15}\)
Therefore, the step 1 was miscalculated by Emanuel.
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The complete question is -
Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction
Step 3 StartFraction 12 over 90 EndFraction
Step 4 StartFraction 2 over 15 EndFraction
In which step did his first error occur?
What is the multiplicative inverse of 1/13?
Answer:
I think it would just be multiplying by 13.
Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
dara is mixing her own paint color, using 3 parts green paint to 2 parts blue to 1 part white
Answer:
Ummm this isn't really math what'ss the question?
Step-by-step explanation:
Change the fraction to a decimal: 7/3 = _____
If the decimal repeats, show the repeating pattern twice.
(For example for 1/9, type 0.11)
Answer:
2.33
Step-by-step explanation:
7 divided by 3 will equal 2.33
Which equation demonstrates the multiplicative identity property? (negative 3 + 5 i) + 0 = negative 3 + 5 i (negative 3 + 5 i ) (1) = negative 3 + 5 i (negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i (negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i
Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer:
EDGE2020 is B
Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use the graph as a starting point.
(SCREENSHOT)
I tried to solve this using the process in the edmentum learning path but I got it wrong with -49/16
please help its due soon!! :(
Answer:
-61/16
Step-by-step explanation:
The version of successive approximation you are using here is one that starts with an interval containing the solution, then cuts that interval in half with each iteration. The end result of each round of iteration is a new approximation to the solution: the midpoint of the smaller interval.
SetupThe graph shows the curves cross at a point between x = -4 and x = -3, so the initial interval is [-4, -3]. We have defined the function h(x) = g(x) -f(x) so that h(-4) < 0 and h(-3) > 0. The sign of h(x) will tell which interval limit gets replaced:
h(x) > 0 ⇒ x replaces the upper limit
h(x) < 0 ⇒ x replaces the lower limit
The initial estimate of the solution is (-4 +(-3))/2 = -7/2. (iteration 0)
Iterationsh(-7/2) > 0, so the interval becomes (-4, -7/2), and the approximate solution after iteration 1 is x ≈ -15/4.
h(-15/4) > 0, so the interval becomes (-4, -15/4), and the approximate solution after iteration 2 is x ≈ -31/8.
h(-31/8) < 0, so the interval becomes (-31/8, -15/4) and the approximate solution after iteration 3 is x ≈ -61/16
__
Additional comment
Note that we don't really care about the function value when we do iteration this way. We only care about the sign of the function value. Other iteration methods use the function values to try to approximate the root. The secant method uses a linear approximation between the function values at the end points of the interval to choose a new value for x.
Is the decibel level of a siren discrete or continuous? O A. The random variable is discrete. B. The random variable is continuous.
The correct answer is option A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.
From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).
The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.
The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.
For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.
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