Answer:
∠A = 39
Step-by-step explanation:
since the triangles are congruent that means you make angle A and angle D equal to each other.
x + 39 = 2x
- x -x ---- get x on one side
x = 39
what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Find the smallest side of RST, given that
Answer:
doesn't it give you the angles for each letter? If that is the case then it would be 33
Step-by-step explanation:
May I have brainliest please? :)
Answer:
RT
Step-by-step explanation:
RT
Since angle S is the smallest angle, the smallest side is opposite that.
Determine the inverse of the followingy =- log(x - 1) + 2
Step 1:
Write the function
\(\text{y = - }\log ^{(x-1)}_{}\text{ + 2}\)Step 2:
To find the inverse of the function, make x subject of the formula
\(\begin{gathered} y\text{ = - }\log ^{(x-1)}_{}+\text{ 2} \\ \log ^{(x-1)}_{}\text{ = 2 - y} \\ x-1\text{ = }10^{(2-y)} \\ x=10^{(2-y)}\text{ + 1} \\ y^{-1}(x)=10^{(2-x)}\text{ + 1} \end{gathered}\)\(\begin{gathered} Or \\ y^{-1}(x)\text{ = ln(2-x) + 1} \end{gathered}\)Plz Hurry This Is Timed
Answer:
2nd answer. it is because it is
Answer:
I believe the correct answer is the first one
Step-by-step explanation:
tanya has a dog leash that is 4 yards long. she shortens the leash by 6 feet.what is the lenght of shortened leash
Answer:
2 yards or 6 feet long
Step-by-step explanation:
Each yard is 3 feet long.
If Tanya shortens the leash by 6 feet, that is 2 yards.
4-2=2
The leash is 2 yards (or 6 feet) long.
Answer:
6 foot
Step-by-step explanation:
1 yards = 3 foot
4 yards = 12 foot
We take
12 - 6 = 6 foot
So, the length of the shortened least is 6 foot.
Which of the following is equivalent to 1 and
5/8
Taylor wants to make cookies for her homeroom class. The recipe calls for 3/4 cups of flour for every batch of 6 cookies. She needs to make 48 cookies for each student to get atleast 2 cookies each. How much flour will she need to make 48 cookies?
Answer:
6 cups of flour.
Step-by-step explanation:
hii happy holidays !! any help is appreciated consider the following graph
9514 1404 393
Answer:
A, M, N, F
Step-by-step explanation:
I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.
See attached for the reflected points.
__
The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.
_____
The transformations of interest are ...
(x, y) ⇒ (y, x) . . . . reflection over y = x
(x, y) ⇒ (-x, y) . . . . reflection over y-axis
(x, y) ⇒ (x, -y) . . . . reflection over x-axis
(x, y) ⇒ (-y, -x) . . . . reflection over y = -x
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
(a) Compute x1, using the formula above, in four-digit arithmetic with chopping. (b) Suppose that the true four digit solution is Xi = 0.0054. Compute the relative and absolute error of your above approximation.
(a) Value of x1 in four-digit arithmetic with chopping is 7.82.
(b) The relative error is 1418.52 and absolute error is 7.8146 of our above approximation
(a) Consider the equation -22x2 - 140x + 250 = 0. Using the quadratic formula, the smaller root (x1) can be calculated as:
x1 = (-(-140) ± \(\sqrt{((-140)^2 - 4(-22)(250)))}\)/(2(-22))
x1 = (140 ± \(\sqrt{(140^2 + 22 * 250 * 4))}\)/(-44)
x1 = (140 ± \(\sqrt{(19600 + 22000))}\)/(-44)
x1 = (140 ± \(\sqrt{41600}\) )/(-44)
x1 = (140 ± 204)/(-44)
x1 = (140/44 ± 204/44)
x1 = (140/44 + 204/44)
x1 = 344/44
x1 = 7.82 (rounded to two decimal places with chopping)
(b) If the calculated value of x1 is x1_calc = 7.82, the relative error can be calculated as:
Relative error = |(x1_calc - Xi)/Xi|
Relative error = |(7.82 - 0.0054)/0.0054|
Relative error = 1418.5185185185185%
The absolute error can be calculated as:
Absolute error = |x1_calc - Xi|
Absolute error = |7.82 - 0.0054|
Absolute error = 7.8146
Correct Question :
Recall that for any quadratic equation of the form ax2 – bx+c= 0 with a,b,c> 0, the quadratic formula gives us that the smaller root is: x1 = b=\(\sqrt{b^2-4ac}\) / 2a Consider the quadratic equation -22 – 140x+== 0.
(a) Compute x1, using the formula above, in four-digit arithmetic with chopping.
(b) Suppose that the true four digit solution is Xi = 0.0054. Compute the relative and absolute error of your above approximation.
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a triangle has one side length of 9cm and another side of .12cm what are 3 possible answers for the third side
If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side are: 17, 20, and 21.
What are the possible lengths for the third side?To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:
9 + 12 > x
9 + x > 12
12 + x > 9
Simplifying these inequalities, we get:
x > -3 (always true)
x > -9 (always true)
x > -3 (always true)
Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).
The possible lengths for the third side are:
9 + 12 > x, so x < 21
9 + x > 12, so x > -3
12 + x > 9, so x > -3
Therefore, the possible lengths for the third side of the triangle are:
17 (9 + 12 = 21, which is greater than 17)
20 (9 + 12 = 21, which is greater than 20)
21 (9 + 12 = 21, which is equal to 21)
So, the three possible lengths for the third side of the triangle are 17, 20, and 21.
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The complete question is:
A triangle has one side length of 9
centimeters (cm) and another side length of 12
cm.
Which answers are possible lengths for the third side?
Select three that apply
17
22
9
21
20
3
If o=12, find the sample size to estimate the mean with an error of +4 and 95 percent confidence (rounded to the next higher integer).
Multiple Choice
75
35
58
113
URGENT
We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.
To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:
n = [(z*sigma)/E]^2
Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)
We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:
n = [(1.96*12)/4]^2
n = 169.64
Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.
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Tiffany drew the design below that she is going to use on a stained-glass window, above her front door. Identify all the rays in Tiffany’s design
The rays in Tiffany’s design are EA, FB, GC, GH, ED
Identifying all the rays in Tiffany’s designFrom the question, we have the following parameters that can be used in our computation:
Tiffany’s design
By definition, the rays in Tiffany’s design are lines that have one fixed endpoint and the other endpoint extends indefinitely
Using the above as a guide, we have the following:
The rays in Tiffany’s design are EA, FB, GC, GH, ED
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Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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Find the distance between the points E(1,7) and F(-3,2).
Answer:
d = √(x²~x¹)² + (y²-y1)²
Step-by-step explanation:
√(1--3)² + (7-2)²
the square root covers everything
then put this answer on the calculator
Answer:
\(\sqrt{41}\)
Step-by-step explanation:
First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help
Formula -> \(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Identify which is x and which is y
-> E (1,7) F(-3,2)
|\(x_1\)|\(y_1\)| |\(x_2\)|\(y_2\)|
-> \(D=\sqrt{(-3-1)^2+(2-7)^2}\)
-> \(D=\sqrt{(-4)^2+(-5)^2}\)
-> \(D=\sqrt{16+25}\)
-> \(D=\sqrt{41}\)
Identify each as a function or not a function.
help
What is the slope of the line that passes through the points (2, 8) and (-3, 14)?
Write your answer in simplest form.
The slope of the line that passes through the points (2, 8) and (-3, 14) is -6/5 in the simplest form.
Define Slope.A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
What are coordinate pairs?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
Plugging in the given points, we get:
m = (14 - 8) / (-3 - 2)
m = 6 / -5
m = -6/5
so the slope of the line that passes through the points (2, 8) and (-3, 14) is -6/5 in the simplest form.
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A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
Calculate the cdf F(x).
x 0 1 2 3 4 5 6
f(x)
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
(d) {between two and five lines, inclusive, are in use}
The probability of the event between two and five lines, inclusive, are in use is 0.85.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that,
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
a) At most three lines are in use
Here we need to find the probability for x≤3.
P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)
= 0.12+0.18+0.20+0.20
= 0.70
b) Fewer than three lines are in use
Here we need to find the probability for x<3.
P(x<3)=P(x=0)+P(x=1)+P(x=2)
= 0.12+0.18+0.20
= 0.50
c) At least three lines are in use
Here we need to find the probability for x≥3.
P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)
= 0.20+0.20+0.07+0.03
= 0.50
d) Between two and five lines, inclusive, are in use
Here we need to find the probability for 2≤x≤5.
P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)
= 0.18+0.20+0.20+0.20+0.07
= 0.85
Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.
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you use a line of best fit for a set of data to make a prediction about an unknown value. the correlation coeffecient is -0.833 can you be confident that your predicted value will be reasonably to the actual value? why or why not?
please help.
Answer: The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2 = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.
Step-by-step explanation: this is the same paragraph The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2 = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.
Describe the slope of the line
Find the slope.
Evaluate the expression
Answer:
32
Step-by-step explanation:
4 to the third power is 64
(7-3) = 4
*2
64/4*2 = 32
Hope this helps
Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n
The value of x in the lines is 126 degree
We are given that;
Three parallel line and one intersecting line
Angles= (x-6) and 60
Now,
By supplementary angles property
Angle 1 + Angle 2 = 180 degree
Substituting the values of angles
x-6 + 60 = 180
x + 54 = 180
x = 180-54
x = 126
Therefore by supplementary angles answer will be 126 degree.
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Please help, I will give brainliest, I am struggling badly.
Answer:
3rd option is the amswer
Which would most likely be graphed using a continuous graph? Check all that apply.
The items that would most likely be graphed using a continuous graph are:
total cost, c, of buying g pounds of broccoli.speed of a car, s, as it accelerates over time, t.total distance, d, that has been driven over time, tdecrease in outside temperature, F, one evening over time, t.What are explanation for the items?1. Total cost, c, of buying b cans of beans:
Cans of beans is the input, and the number of cans is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.2. Total cost, c, of buying g pounds of broccoli
Pounds can assume decimal values, so it is a continuous variable, and a continuous graph is used, and this option is checked.3. Speed of a car, s, as it accelerates over time, t:
Total distance, d, that has been driven over time, t
Decrease in outside temperature, F, one evening over time, t
Time can assume decimal values, like 0.5 seconds, 0.5 hours, so it is a continuous variable, and a continuous graph is used, and these options is checked.4. Number of stamps, s, needed to mail p postcards
The number of postcards is the input, and the number of postcards is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.Missing options "- total cost, c, of buying b cans of beans
- total cost, c, of buying g pounds of broccoli
- speed of a car, s, as it accelerates over time, t
- number of stamps, s, needed to mail p postcards
- total distance, d, that has been driven over time, t
- decrease in outside temperature, F, one evening over time, t
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Please help me with this. If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 20 m/s its height in meters t seconds later is given by y = 20t - 1.87t².
The averages velocities are:
i) 14.39m/s
ii) 16.073 m/s
iii) 16.24 m/s
iiii) 16.26 m/s
And the instanteneous velocity is:
b) 16.24 m/s
How to get the average velocity?We know that the vertical height is given by:
y(t) = 20t - 1.87t²
Then the velocity function will be:
v(t) = 20 - 2*1.87*t
v(t) = 20 - 3.74*t
To get the average velocity on an interval [a, b] we need to compute:
v' = (v(b) - v(a))/(b - a)
i) interval [1, 2]
v' = (y(2) - y(1))/(2 - 1)
v' = (20*2 - 1.87*2² - (20 - 1.87)//(2 - 1) = 14.39m/s
ii) interval [1, 1.1]
v' = (y(1.1) - y(1))/(1.1 - 1) = 1.6073/0.1 =16.073 m/s
iii) [1, 1.01]
v' = (y(1.01) - y(1))/(1.01 - 1) = 16.24 m/s
iiii) v' = (v(1.001) - v(1))/(1.001 - 1) = 16.26 m/s
b) to get the instantaneous velocity, just evaluate in t = 1.
v(1) = 20 - 3.74*1 = 16.26 m/s
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which of these are opposites of each other
2/3, 3/2
2/3,-2/3
-2/3, 3/2
2/3, -3/2
Answer:
B
Step-by-step explanation:
2/3 is the opposite of -2/3...
Hope this helps!
Helppppppppppppppppp
Select the correct answer.
Which expression is equivalent to the given expression?
Let f(x) = x+2/x+6
f^-1(-6) =
We can explicitly find the inverse. If \(f^{-1}(x)\) is the inverse of \(f(x)\), then
\(f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x\)
Solve for the inverse :
\(\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x\)
\(\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x\)
\(1 - \dfrac4{f^{-1}(x) + 6} = x\)
\(1 - x = \dfrac4{f^{-1}(x) + 6}\)
\(f^{-1}(x) + 6 = \dfrac4{1-x}\)
\(\implies f^{-1}(x) = \dfrac4{1-x} - 6\)
Then when x = -6, we have
\(f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}\)
Alternatively, we can first solve for x such that \(f(x) = -6\). Then taking the inverse of both sides, \(x = f^{-1}(-6)\). (The difference in this method is that we don't compute the inverse for all x.)
We have
\(\dfrac{x+2}{x+6} = -6\)
\(x + 2 = -6 (x + 6)\)
\(x + 2 = -6x - 36\)
\(7x = -38\)
\(\implies x = \boxed{-\dfrac{38}7}\)