Answer:
tan A = 12/ 35
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = CB/ AB
tan A = 12/ 35
Calculate the following value and how your work. Give exact anwer, uing the implet radical form i neceary. GL =
m∠KLH =
KH =
GL is equal to √25 + L2, or √5 in its simplest radical form. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse.
Given:
GL = ?
m∠KLH = 90°
KH = 5
We can use the Pythagorean Theorem to solve for GL.
GL2 = K2 + L2
GL2 = 52 + L2
GL2 = 25 + L2
Therefore, GL = √25 + L2 = √5.
Given GL, m∠KLH, and KH, we can use the Pythagorean Theorem to solve for GL. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can calculate the square of GL by taking the square of KH and adding it to the square of L, which is unknown. We square 5 and get 25, then we add L2 to get 25 + L2. We can then take the square root of this to get GL. Therefore, GL is equal to √25 + L2, or √5 in its simplest radical form.
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Use the probability distribution and histogram found here to select the correct probability for each statement.
The probability that a randomly selected student has fewer than 4 siblings is P(X < ) = .
The probability that a randomly selected student has at least 5 siblings is P(X ≥ ) = .
The probability that a randomly selected student is not an only child is P(X ≠ 0) = .
The probabilities are given as follows:
Fewer than 4 siblings: P(X < 4) = 0.737.
At least 5 siblings: P(X >= 5) = 0.111.
Not an only child: P(X > 1) = 0.734.
How can you arrive at the above probabilities?The probabilities are called identifying the desired outcomes from the distribution of the number of children per parent.
Hence the probability of fewer than 4 siblings is of
P(X < 4) = P(X = 1) + P(X = 2) + P(X = 3) = 0.266 + 0.322 + 0.149 = 0.737.
The probability of at least 5 siblings is of
P(X >= 5) = P(X = 5) + P(X = 6) + P(X > 6) = 0.059 + 0.032 + 0.02 = 0.111.
The probability that the student is not an only child is given as follows:
P(X > 1) = 1 - P(X = 1) = 1 - 0.266 = 0.734.
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Full Question:
The distribution is given as follows:
P(X = 1) = 0.266.
P(X = 2) = 0.322.
P(X = 3) = 0.149.
P(X = 4) = 0.152.
P(X = 5) = 0.059.
P(X = 6) = 0.032.
P(X > 6) = 0.02.
Use the probability distribution and histogram found here to select the correct probability for each statement.
The probability that a randomly selected student has fewer than 4 siblings is P(X < ) = .
The probability that a randomly selected student has at least 5 siblings is P(X ≥ ) = .
The probability that a randomly selected student is not an only child is P(X ≠ 0) =
can someone give a simple explanation of how to find the rate of change?
Answer:
Divide the output value by the change in the input value.
Step-by-step explanation:
rate of change=change in y change in x=change in distance change in time=160−804−2=802=401. The rate of change is 401 or 40. hope you find it
useful.
Answer:
it will V -U/T. this is the formula of acceleration
Solve for x: 4 - (x + 2) < -3 ( x + 4)
(9th grade algebra 1)
Answer:
\(x < -7\)
Step-by-step explanation:
\(4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7\)
Hi ok so like im back w another question and like i need help so like if you could help me you would actually make my day.. like ACTUALLY *3*
Answer:
B
Step-by-step explanation:
You simplify it using radicals.
What is the range of the given function?
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.
Step-by-step explanation:
You need to determine the area under the curve on the y-axis with the following conditions:
-
The curve 4-6x-7+y=0
-
Limited by the yy´ axes
-
Lines y= -5 y= 5
Make the graph and fill in the calculated area
The given curve is 4 - 6x - 7 + y = 0, so rearranging the equation, we get y = 6x + 3. By putting the value of y as -5 and 5, we get the corresponding values of x. For y = -5, we get x = -8/3, and for y = 5, we get x = 2/3.The curve intersects y-axis at (0, 3).
To find the area of the curve, we need to integrate the curve equation y = 6x + 3 from -8/3 to 2/3. So, the area under the curve is given by: {-8/3}^{2/3} 6x + 3 dx. We have the equation 4 - 6x - 7 + y = 0, so rearranging it, we get y = 6x + 3. This curve intersects y-axis at (0, 3).To find the area of the curve, we need to integrate the curve equation y = 6x + 3 from -8/3 to 2/3. The area under the curve is given by:{-8/3}^{2/3} 6x + 3 dx Let’s solve it, We get, {-8/3}^{2/3} 6x + 3 dx = [3x^2 + 3x] {-8/3}^{2/3} {-8/3}^{2/3} 6x + 3 dx = [18 - (-30)]/9 = 48/9 = 16/3 Therefore, the area under the curve is 16/3 units².
Thus, the area under the curve is 16/3 units².
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Find the area of the picture frame. Write your answer in standard form.
The area of the picture frame is 15x² + 8x + 3 = 0
How to determine the areaNote that the formula for calculating the area of a rectangle is expressed as;
A = lw
Such that the parameters are given as;
A is the area of the rectanglel is the length of the rectangle.w is the width of the rectangle.Also, the picture frame takes the shape of a rectangle
Substitute the expressions
Area = (5x + 3)(3x + 1)
expand the bracket
Area = 15x² + 5x + 3x + 3
collect the like terms
Area = 15x² + 8x + 3
In standard form, the area is 15x² + 8x + 3 = 0
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Simplify the given exponential expression.
(x 1/4)^16
Answer below using ^ to raise a variable to a power, for example, x squared would be x^2, and NO SPACES, so if the answer was 3 x squared y cubed you would put 3x^2y^3
A dealer sold a painting for $800. She made a profit of 25% on the price she paid for it. Calculate the price she paid for the painting.
She paid $640 for the painting
Step-by-step explanation:
her selling price SP = 800
CP+25%of CP = 800
1.25CP=800
CP=640
Answer:
$640
Step-by-step explanation:
paint sold for $800
profit 25%
the price she paid for the painting = $800 / 1.25 = $640
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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The soup can is 6 cm tall and has a radius of 3.5 cm. If you were to pull the label off the can in one complete piece, what would the area of the label be? Use 22 7 for pi.
Answer:
132sq.
Step-by-step explanation:
Complete the following table for the equation.
Y=5x+7
Answer:
Values if y:
-3
2
7
12
17
22
Answer:
if y= 5x+7 answer is
-3, 4, 7, 10, 22
Step-by-step explanation:
out put = input 5x+7
the u get these answers:
-3, 4, 7, 10, 22
Find the x intercepts of x-4 over x2+4x+3
Answer:
B
Step-by-step explanation:
a fraction is equal to 0 when the numerator is 0
x - 4 = 0
x = 4
The correct answer is x=4.
Step-by-step explanation:
When the numerator is 0, a fraction is equal to 0.
x - 4 = 0
x = 4
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Hello I need help on this math question
BRAINLIEST For the fastest correct answer
Answer:
LA: 37.68 in squared
TSA: 94.2 in squared
In a laboratory, it is often convenient to make measurements in centimeters and grams, but st units are needed for cascuations. Comvert the following measurements to 5t units (a) 0.78 cm (b) 126.2s a (c) 42.4 cm^3
(d) 75.7 g/cm^3 kwim ?
An convenient to make measurements in centimeters and grams summary the conversions to 5t units are (a) 0.78 cm ≈ 0.078 5t units,(b) 126.2 s ≈ 126.2 5t units,(c) 42.4 cm³≈ 0.0424 t³,(d) 75.7 g/cm³≈ 75.7 t²
To convert the given measurements to 5t units, to establish the conversion factors between centimeters/grams and 5t units.
1 t = 10 cm (since 1 meter = 100 cm and 1 meter = 10 t)
1 t = 1 kg (since 1 kg = 1000 g and 1 kg = 1 t)
Now, let's convert each measurement to 5t units:
(a) 0.78 cm:
To convert from centimeters to 5t units, we divide by 10 since 1 t = 10 cm.
0.78 cm / 10 = 0.078 t
Therefore, 0.78 cm is approximately 0.078 5t units.
(b) 126.2 s:
Since no conversion factor is given, we assume that 1 second remains the same in both systems. Thus, 126.2 s remains the same in 5t units.
Therefore, 126.2 s is approximately 126.2 5t units.
(c) 42.4 cm^3:
To convert from cm³to 5t units, we need to consider the conversion for volume, which is (1 t)³ = 1 t³= 1000 cm³
42.4 cm³ / 1000 = 0.0424 t³
Therefore, 42.4 cm³is approximately 0.0424 t³ in 5t units.
(d) 75.7 g/cm³:
To convert from g/cm³ to 5t units, we need to consider both the conversion for mass and volume. We have 1 g = 1/1000 kg = 1/1000 t and 1 cm^3 = 1/1000 t³
75.7 g/cm³ × (1/1000 t / 1/1000 t³) = 75.7 t / t³ = 75.7 t²
Therefore, 75.7 g/cm³ is approximately 75.7 t² in 5t units.
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Determine the value of the 10% trimmed mean. (Round your answer to four decimal places.)
0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24
The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.
First, let's sort the data in ascending order:
0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24
Next, we calculate the number of values to trim from each end:
10% of 15 (total number of values) = 0.1 * 15 = 1.5
Since we can't remove half a value, we round up to the nearest whole number, which is 2.
Now, we remove the two lowest and two highest values:
0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26
Finally, we calculate the mean of the remaining values:
(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027
Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.
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13
The table below shows a linear
relationship between x and y.
Which of the following is the rate of
change and the y-intercept?
A Rate of change: 15; y-intercept: 100
B Rate of change: 15; y-intercept: 0
C Rate of change: 20; y-intercept: 100
D Rate of change: 20; y-Intercept: 0
Answer:
the answeis c
Step-by-step explanation:
hoped that helped
how do you solve 5y-2=10y-4
Answer:
y=2/5
Step-by-step explanation:
Using the power of inequalities, first, change the -2 to a positive by adding it to both sides of the equation. Second, get 10y and make it into a negative by subtracting it from both sides of the equation. Lastly, divide each side.
5y-2=10y-4
5y+2=10y+2
__________
5y=10y-2
-10y=-10y-2
__________
-5y=-2: Then Divide negative -5 in which your final answer should be y=2/5
Hoped this helped! Ask me if you have any questions!
If the same number is added to the numerator and the denominator of 2/5, the resulting fraction is equal to 2/3. what is the number? abeka 9th grade
Answer:
4
Step-by-step explanation:
Call the number x:
-> we have \(\frac{2+x}{5+x} = \frac23\)
-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4
So x (the number we need is) = 4
23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20
Answer:
10*40
80*5
20*20
Step-by-step explanation:
20*20=400
80*5=400
10*40=400
a supermarket earned $1,56,48,000 in a year if the expenses were $69,74,596 how much money was saved please help asap
Answer:
8673404
Step-by-step explanation:
Your commas are in the wrong spots. If the question is asking the profit then it would be 15,548,000 - 6,974,596 = 8,673,404
I am not sure what it means when asking how much money was saved. Is this the complete question and the exact wording?
For a large random sample, what z-score(s) cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL)?
To determine the z-score(s) that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL), we can use the properties of the standard normal distribution.
The "middle 98%" refers to the area under the normal curve between the z-scores that enclose the central 98% of the distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.
Since the distribution is symmetric, we need to find the z-score(s) that correspond to the area of (1 - 0.98) / 2 = 0.01 on each tail of the distribution. The remaining 0.02 is split equally between the two tails.
To find the z-score(s), we can use a standard normal distribution table or a calculator.
Looking up the value of 0.01 in the z-table, we find that the z-score that corresponds to the lower tail is approximately -2.33. This means that 1% of the area lies to the left of z = -2.33.
To find the z-score for the upper tail, we use the symmetry of the distribution. The z-score that corresponds to the upper tail is the negative of the z-score for the lower tail, so it is approximately 2.33.
Therefore, the z-scores that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL) are approximately -2.33 and 2.33.
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the equation of the line 3/5x+1/3x=1/15 the x-intercept of the line is ___ and it’s y-intercept is__?
Answer:
Y-intercept is (0,1/15)
X-intercept is (1/14,0)
A restaurant is working at 25 percent capacity and is allowed to have 150 people inside.
How many people will the restaurant be able to allow in when working at 100 percent?
Answer:
600 People
Step-by-step explanation:
25%= 150
25%x4=100%
150x4 = 600
the image of p(m,5-n) when reflected on line y=0 is p'(2m-3,2n-8) find the values of m and n
Answer: m=n=3
Step-by-step explanation:
Reflecting across the y=0, in other words, the x-axis, means
\((x,y) \longrightarrow (x,-y)\)
So, \(p(m,5-n) \longrightarrow p'(m,n-5)=p'(2m-3, 2n-8)\)
This gives us the system
\(m=2m-3 \longrightarrow \boxed{m=3}\\\\n-5=2n-8 \longrightarrow \boxed{n=3}\)
Give an equation for a logarithmic function that has the following features.
1. The range of the function is (-∞, ∞).
2. The domain of the function is (2, ∞).
3. The vertical asymptote of the function is = 2.
4. The graph does not cross through the point (3, 0).
Any equation in the variable x that contains a logarithm is called a logarithmic equation.
What are the features logarithmic function?The graphs of all logarithmic functions will have the following characteristics: The graph of logarithmic functions passes through the points (1,0). If the base of a logarithmic function is greater than 1, then the graph increases.Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ayLogarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos)Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.To learn more about logarithmic function refers to:
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A group of workers took 123.6 hours to
complete a job. A smaller group of workers
will complete the same job, but it will take
them 1.15 times as long as it took the first
group. How long did it take the smaller group
to complete the job?
Answer:
137.814 hours
Step-by-step explanation:
We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group
123.6 hours is the time and 1.15 is the multiplier
123.6x1.115=137.814 hours
What are the values of a, b, and c in the quadratic equation 0 = x - 3x – 2?
O : 36 = 3, c= 2
0 8 = 7 / 0 = -3, c= -2
O = 3,0 = 3,C= -2
O a = b = -3,c=2
Answer:
The values of a,b and c are 1, -3 and -2 respectively.
Step-by-step explanation:
The general form of quadratic equation is given by :
\(ax^2+bx+c=0\) .....(1)
Here, a,b and c are constants
The given equation is :
\(x^2-3x-2=0\)
We can also write the above equation as :
\(x^2+(-3x)+(-2)=0\) ....(2)
If we compare equation (1) and (2), we get :
a = 1
b = -3 and
c = -2
So, the values of a,b and c are 1, -3 and -2 respectively.
Answer:
i think its option B
Step-by-step explanation:
i dont know if its right or not sorry but hope this helps :)
PLS HELP ME WITH THIS
Answer:
so the answer is the second one. Hope this working helps