Answer:
Step-by-step explanation:
ans is -4
1/16 to the power of 2
Answer: 0.00390625
Step-by-step explanation:
Answer:
The answer is 1/256 :)
Step-by-step explanation:
This one is actually quite simple! All you need to do is multiply 1/16 by 1/16! 1 x 1 is 1 of course, and 16 x 16 is 256. I've attached an image to help break it down even further. (credit to cymath.com)
Hope this helps!
if tanh(x) = 24 25 , find the values of the other hyperbolic functions at x.
Answer:
The answer is as follows
Step-by-step explanation:
We can use the definitions of the hyperbolic functions to find the values of the other functions.
tanh(x) = (e^x - e^-x)/(e^x + e^-x)
Let y = tanh(x), then:
y = (e^x - e^-x)/(e^x + e^-x)
y(e^x + e^-x) = e^x - e^-x
ye^x + ye^-x = e^x - e^-x
ye^x - e^x = - ye^-x - e^-x
e^x(y-1) = -e^-x(y+1)
e^(2x) = -(y+1)/(y-1)
e^x = sqrt(-(y+1)/(y-1))
Now we can use the definitions of the other hyperbolic functions:
cosh(x) = (e^x + e^-x)/2 = (sqrt(-(y+1)/(y-1)) + 1/sqrt(-(y+1)/(y-1)))/2
sinh(x) = (e^x - e^-x)/2 = (sqrt(-(y+1)/(y-1)) - 1/sqrt(-(y+1)/(y-1)))/2
sech(x) = 1/cosh(x) = 2/(sqrt(-(y+1)/(y-1)) + 1/sqrt(-(y+1)/(y-1)))
csch(x) = 1/sinh(x) = 2/(sqrt(-(y+1)/(y-1)) - 1/sqrt(-(y+1)/(y-1)))
Using the given value of tanh(x), we get:
y = 24/25
sqrt(-(y+1)/(y-1)) = sqrt(-49) = i*7
cosh(x) = (i*7 + 1/i*7)/2 = (i^2*49 + 1)/14 = -48/14 = -24/7
sinh(x) = (i*7 - 1/i*7)/2 = (i^2*49 - 1)/14 = 24/7
sech(x) = 2/(i*7 + 1/i*7) = 2/((i*7)^2 + 1) = -14/25
csch(x) = 2/(i*7 - 1/i*7) = 2/((i*7)^2 - 1) = -25/24
Therefore, the values of the other hyperbolic functions are:
cosh(x) = -24/7
sinh(x) = 24/7
sech(x) = -14/25
csch(x) = -25/24
The values of the other hyperbolic functions at x when tanh(x) = 24/25 are :
cosh(x) = 1.096
sinh(x) = 0.192
coth(x) = 1.042
sech(x) = 0.912
csch(x) = 5.208
Given: tanh(x) = 24/25
Using the identities
1. cosh(x) = \((1 + tanh^2(x))^{0.5\)
2. sinh(x) = \(tanh(x) * (1 - tanh^2(x))^{0.5\)
3. coth(x) = 1 / tanh(x)
4. sech(x) = 1 / cosh(x)
5. csch(x) = 1 / sinh(x)
Now, substitute tanh(x) = 24/25 into each of the formulas:
1. cosh(x) = \((1 + (24/25)^2)^{0.5\)
= \((1 + 576/625)^{0.5\)
= \((1201/625)^{0.5\)
= 1.096
2. sinh(x) = (24/25) * \((1 - (24/25)^2)^{0.5\)
= (24/25) * \((1 - 576/625)^{0.5\)
= (24/25) * \((49/625)^{0.5\)
= (24/25) * (7/25)
= 24/125
= 0.192
3. coth(x) = 1 / (24/25)
= 25/24
= 1.042
4. sech(x) = 1 / \((1 + (24/25)^2)^{0.5\)
= 1 / \((1 + 576/625)^{0.5\)
= 1 / \((1201/625)^{0.5\)
= 1 / 1.096
= 0.912
5. csch(x) = 1 / (24/125)
= 125/24
= 5.208
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Will award brainliest if answer quickly! Which expression is equivalent to startroot 2 endroot divided by 3 startroot 2 endroot? 1/4,
6 startroot 2 endroot,
startroot 2 endroot,
startroot 2 endroot divided by 2
Answer:
The simplified answer to the given equation is 6√2
Step-by-step explanation:
First, we must simplify the radicals in the equation.
√2 = 1.414213562
∛2 = 1.25992105
Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.
√2 ÷ ∛2 = 1.122462048
Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.
6√2 = 1.22462048
So, our answer here is answer choice B.
Katya sold
46 books at £1.40 each
32 bracelets at £1.50 each
some badges at 90p each
She got a total of £134
Work out how many badges Katya sold.
Answer:
This is a math problem. To solve it, you need to use algebra. Let me show you how.
Let x be the number of badges Katya sold. Then we can write an equation using the given information:
46 × 1.40 + 32 × 1.50 + 0.90 × x = 134
Simplifying the equation, we get:
64.4 + 48 + 0.9x = 134
Subtracting 64.4 and 48 from both sides, we get:
0.9x = 21.6
Dividing both sides by 0.9, we get:
x = 24
Therefore, Katya sold 24 badges.
Step-by-step explanation:
1) Define a sequence S as sn= 3n+3*2* Find S Find S Find S Find S. 2) Determine the type of the sequences whether they are decreasing, increasing, non-decreasing, non-increasing? They can be more than one of the types. The sequence a= 2/1 131 The sequence 200, 130, 130, 90, 90, 43, 43, 20
1) The sequence S is: 9, 12, 15, 18.
2) The types of sequences are:
a) Sequence a is increasing.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.
1) The sequence S is defined as sn = 3n + 3 * 2. To find the values of S, we can substitute different values of n into the equation:
S1 = 3(1) + 3 * 2 = 3 + 6 = 9
S2 = 3(2) + 3 * 2 = 6 + 6 = 12
S3 = 3(3) + 3 * 2 = 9 + 6 = 15
S4 = 3(4) + 3 * 2 = 12 + 6 = 18
So, the sequence S is: 9, 12, 15, 18.
2) Let's determine the type of the sequences:
a) Sequence a = 2/1, 131.
- This sequence is increasing since the terms are getting larger.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20.
- This sequence is non-decreasing since the terms are either increasing or staying the same (repeated).
To summarize:
a) Sequence a is increasing.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Option C
20, 21, 29 represents three sides of a right triangle
Step-by-step explanation:
By Using Pythagorean Triplet we can say that
20, 21, 29 represents three sides of a right triangle
FOR VERIFICATION ONLY:(20)² + (21)² = (29)²
400 + 441 = 841
841 = 841
Thus, 20, 21, 29 represents three sides of a right triangle
-TheUnknownScientist
A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following numbers is not a factorial prime?
4! - 1 = 23
6! - 1 = 719
5! - 1 = 119
3! - 1 = 5
Answer:
Step-by-step explanation:
I need help with these plz
The probability that my bus is late on any day is 0.2. The probability that it rains tomorrow is 0.4. If the weather and the bus are independent, what is the probability that it rains AND my bus is late?
Answer:
0.08
Step-by-step explanation:
The probability that the bus is late on any day is 0.2
The probability that it rains tomorrow is 0.4
The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.
Therefore:
P(late & rains) = 0.2 * 0.4 = 0.08
Answer:
The probability that it rains and the bus is late is 1/7
Step-by-step explanation:
Practically, we can apply the Bayes’ theorem to solve this.
Mathematically, we use the Bayes’ problem as follows;
P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]
Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6
P(on time) = 1-P(late) = 1-0.2 = 0.8
Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2
Substituting these values into the Bayes’ equation above, we have;
P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)
= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7
Can someone help me understand this?
Answer:
the slope is 5. 5/1
Step-by-step explanation:
Use rise over run to find slope. It is the easiest way to find slope
You rise 5 and 1 to the right
Answer:
The slope is 5
Step-by-step explanation:
So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.
(0, 2) and (-1, -3)
So to find the slope, we have to find (the difference in y) / (the difference in x)
So we're going to do
-3-2/-1-0
Which is
-5/-1
So since there are two negatives, it become positive, and it'll simplify into 5.
So the slope of the line is 5
f(x)=3(2)^x ; x= -1 evaluate for X
Hey there!
f(x) = 3(2)^x
f(x) = 3(2)^-1
y = 3(2)^-1
y = 3 * 2^-1
y = 3 * 1/2
y = 3/1 * 1/2
y = 3(1) / 1(2)
y = 3/2
y ≈ 1 1/2
Thus, your answer is: y = 3/2 or y = 1 1/2
[EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
f(-1) = 3/2
Step-by-step explanation:
Solve:
f(-1) = 3(2)^-1f(-1) = 3 * (1/2)f(-1) = 3/2-Chetan K
The graph of a linear function is shown on the grid.
#6. Find the slope
#7. Find the y-intercept:
#8. Equation: y=
The slope and y-intercept of the given linear equation are \(-\frac{5}{4}\) and \(5\) respectively. The equation of the given graph is \(y=-\frac{5}{4} x+5\)
What is the Slope of a graph?
The ratio of rise to run is known as a line's slope.When given a line's graph and asked to determine its equation, the first step is to determine the slope.The slope formula is used in the procedure for determining the slope from a graph.If there are two points \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) on the line, then the equation for the slope (m) is given as, \(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)What is a y-intercept?
The location where a graph crosses the y-axis is known as the y-intercept (c). Or to put it another way, it is the value of y when x=0.Here, from the graph, we can find a line passing through the two points, \((4,0)\) and \((0,5)\).
The equation for the slope formula is given as, \(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
Using the slope formula, we get the slope of the given graph as,
\(m=\frac{ 5-0 }{0-4 }\\\implies m=-\frac{5}{4}\)
The y-intercept (c) is the value of y when x equals zero.
The line is passing through the point \((0,5)\)
Here, the value of x is equal to 0 and the value of y is equal to 5.
So, the y-intercept of the given graph, \(c=5\)
We know that the equation of a straight line is expressed as, \(y=mx+c\)
Substituting the values of m and c in the straight line equation form, we get the equation of the given line as,
\(y=-\frac{5}{4} x+5\)
Therefore, the slope of the given graph, \(m=-\frac{5}{4}\) and the y-intercept, \(c=5\).
Also, the equation of the given line is \(y=-\frac{5}{4} x+5\)
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Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.
Answer:
84.1% of all values in a normal distribution have z ≤ 1.00.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The percent of all values in a normal distribution for which z ≤ 1.00.
This is the pvalue of Z = 1.
Z = 1 has a pvalue of 0.8413.
Converting to percentage, to the nearest tenth.
84.1% of all values in a normal distribution have z ≤ 1.00.
X
5. In a swimming pool, two lanes are represented by lines / and m. If a string of flags strung across the lanes is
represented by transversal r, and x = 10, show that the lanes are parallel. Choose the best answer below.
(3x+4)⁰1
J.
(4x-62
m
work?
a. 3x+43(10) + 4 = 34°;
4x-6-4(10)-6-34°
The angles are alternate interior angles and they are congruent, so the lanes are parallel by
the Alternate Interior Angles Theorem.
b. 3x+43(10) + 4 = 34°;
4x-6-4(10)-6-34°
The angles are alternate interior angles, and they are congruent, so the lanes are parallel by
the Converse of the Alternate Interior Angles Theorem.
c. 3x+4=3(10) + 4 = 34°;
Both angles have the same measure of 34 degrees, therefore, both lanes are parallel based on the converse of alternate interior angles theorem. The correct option is: D.
What are Alternate Interior Angles?Two interior angles that alternate each other along a transversal that crosses two parallel lines are said to be alternate interior angles, and they are congruent to each other.
Plugging the value of x, both angles indicated in the image are congruent to each other:
3x + 4 = 3(10) + 4 = 34°;
4x - 6 = 4(10) - 6 = 34°
Therefore, since they are congruent to each other, the lanes are parallel based on the converse of alternate interior angles theorem.
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What is the formula of tan 45 degree Theta?
The value of tan(45°+Θ) after using trigonometric ratio is
1+tanΘ/ 1-tanΘ.
What is trigonometric ratios?
There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.
Here the given,
=> tan(45°+Θ)
Now using formula ,
=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)
=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)
We know that tan 45°=1 then ,
=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ
Hence the formula for tan (45°+Θ) is 1+tanΘ/ 1-tanΘ.
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The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?
320
Step-by-step explanation:
What is the area of the kite?
Answer:
9m squared
Step-by-step explanation:
Area of a kite is xy/2
= 8 X 10 divided by 2
A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?
Answer:
135 ft^3
Step-by-step explanation:
Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135
Answer: 135 ft³
Step-by-step explanation:
Volume, when dealing with a rectangular prism, is L * W * H
-> L * W can simplify to the base, as it does in the problem given to us.
V = (L * W) * H
V = B * H
V = 15 * 9
V = 135 ft³
The rectangular prism has a volume of 135 ft³.
Write the sum in sigma notation and use the appropriate formula
to evaluate it. (The final answer is large and may be left with
exponents.)
3 + 3 · 5 + 3 · 5^2 + 3 · 53 + ··· + 3.5^23
The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k
The sum of the given series is approximately -89, 406, 967, 163, 085, 936.75.
To write the given sum in sigma notation, we can observe that each term is of the form 3 · 5^k, where k represents the position of the term in the series.
The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k
To evaluate this sum using the appropriate formula, we can use the formula for the sum of a geometric series:
S = a(1 - r^n) / (1 - r),
where:
S is the sum of the series,
a is the first term,
r is the common ratio,
n is the number of terms.
In our case, a = 3, r = 5, and n = 23.
Using these values in the formula, we can evaluate the sum:
S = 3(1 - 5^23) / (1 - 5).
Now let's calculate the value:
S = 3 * (1 - 119,209,289,550,781,250) / (1 - 5)
S = 3 * (-119,209,289,550,781,249) / -4
S = 357,627,868,652,343,747 / -4
S ≈ -89, 406, 967, 163, 085, 936.75
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In a certain city with a working population of 10,500 , 8925 people and less than $75,000 per year what is a percentile rank of someone who earns $75,000 per year
Answer:
The percentile rank of someone who earns $75,000 per year is the 85th percentile.
Step-by-step explanation:
Meaning of percentile:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
In this question:
Working population of 10,500
8,925 people earn less than $75,000 per year.
8925/10500 = 0.85
0.85*100 = 85
The percentile rank of someone who earns $75,000 per year is the 85th percentile.
True/False: the left-most character of a string s is at index (1*len(s)).
False. In Python, as well as in many other programming languages, the index of the left-most character in a string s is actually 0, not 1. This means that the first character of a string can be accessed using the index 0, the second character using the index 1, and so on.
For example, if we have a string s = "Hello", then the left-most character "H" is at index 0, the second character "e" is at index 1, the third character "l" is at index 2, and so on. Therefore, the correct way to access the left-most character of a string s in Python would be s[0], not s[1*len(s)].
It is important to note that the convention of starting the index from 0 instead of 1 is not only used in Python, but in many other programming languages as well, such as C++, Java, and JavaScript. This convention is useful because it simplifies the calculation of indices and allows for consistent and predictable behavior when working with strings and other types of sequences.
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A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: \(( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
when does a slope equal zero and when is it undefined
Answer:
an undefined and zero slope occurs when either the numerator or denominator equals zero.
Step-by-step explanation:
5) You order movie tickets from a website for $7.00 each. You must also pay a shipping fee of $4.00.
Find the maximum number of tickets you can purchase for $40.
1 point
Answer:
3
Step-by-step explanation:
7+4 is 11
11,22,33 is the maximum which is 3
the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. what is the weight of this egg in grams? round to the nearest hundredth of a gram.
The weight of the egg is 15.79 grams.
Normal Distribution:
Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given,
The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.
suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.
Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
So,
X ~ n(58, 21)
Where this means the value of
σ = 21
\(\mu\) = 58
Apply the values on the formula,
\(Z=\frac{x-\mu}{\sigma}\)
=> -2.01 = (x - 58) / 21
=> -2.01 x 21 = x - 58
=> -42.21 + 58 = x
=> x = 15.79
So, the weight of the egg is 15.79 grams.
When we round off it to the nearest hundredth then we get,
=> 15.79
Because there is no hundredth term in this one.
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One number is 6 more than another number. If the larger number is increased by twice the
smaller number, the result is 30. What are the two numbers? [has to be done algebraically with the proper LET statement
Answer:
smaller number is 6 and larger number is 12.
Step-by-step explanation:
Let the one number is y.
The another number is y + 6.
2 (y + 6) + y = 30
2 y + 12 + y = 30
3 y = 30 - 12
3 y = 18
y = 6
So, the smaller number is 6 and the larger number if 6 + 6 = 12 .
in the united states, the mean age of men when they marry for the first time follows the normal distribution with a mean of 24.8 years. the standard deviation of the distribution is 2.9 years. for a random sample of 58 men, what is the likelihood that the age when they were first married is less than 25.2 years? (round your z value to 2 decimal places. round your answer to 4 decimal places.)
The likelihood that the age when the random sample of 58 men were first married is less than 25.2 years is approximately 0.6075.
Determine the normal distribution?We are given that the mean age of men when they marry for the first time follows a normal distribution with a mean (μ) of 24.8 years and a standard deviation (σ) of 2.9 years.
To find the likelihood that the age when they were first married is less than 25.2 years, we need to calculate the corresponding z-score and then find the corresponding probability from the standard normal distribution.
The z-score (z) can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the probability for.
Plugging in the given values, we have:
z = (25.2 - 24.8) / 2.9 ≈ 0.1379
To find the probability associated with this z-score, we can refer to the standard normal distribution table or use a calculator. Looking up the z-value of 0.14 in the table, we find that the probability is approximately 0.5571.
However, since we want the probability of being less than 25.2 years, we need to find the area to the left of the z-score. The probability will be 0.5 (or 50%) plus the probability from the table. Thus, the likelihood is approximately 0.5 + 0.5571 ≈ 0.6075, rounded to four decimal places.
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Write the equation of the line in slope intercept form that has the given slope and the y-intercept
4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1
4). y = 2x - 6
5). y = -1x + 3
6). y = -1/3x - 1
If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
Determine the independent and dependent variables from the following situation. Delilah was given $50 for her birthday. Every month she saves $15.
Answer:
y is the dependent variable and it is the total amount of money that she has saved.
X is the dependent variable and it is the number of months that she has saved.
Step-by-step explanation:
y = 15x + 50
This is what the equation would look like. If you tell me how many months she has saved, I can tell you how much is in her account.