Answer:
x = 95 y = 137 z = 128
Step-by-step explanation:
z = 180 - 52 = 128 z plus 52 have to be equal to 180
Angle coincident of x is equal to 180 - (45 + 50) = 85
x = 180 - 85 = 95
Angle coincident of y is equal to 180 - (85 + 52) = 43
y = 180 - 43 = 137
There were some pieces of candy in a bowl. Aaliyah took half of the pieces of candy. Then Tehgan took half of the pieces left in the bowl. After that Juliette took half of the remaining pieces. In the end, there were 6 pieces of candy in the bowl. How many pieces of candy were in the bowl at the beginning?
Answer:
48
Step-by-step explanation:
The bowl started with x number of pieces of candy.
Aaliyah took half: now there are x/2 pieces of candy
Tehgan took half of the remaining: now there are x/4 pieces of candy
Juliette took half of the remaining: now there are x/8 pieces
After Juliette took, there were 6 pieces left.
That means that x/8 equals 6.
x/8 = 6
Multiply both sides by 8.
x/8 × 8 = 6 × 8
x = 48
Answer: 48
in a paired design, each pair of observations always consists of measuring the same individual twice. (True or False)
In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.
This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.
The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.
In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.
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the erath is approximately 9.3 x 10^7 miles from the sun uransu is approximately 1.8 x 10 ^9 miles from the sun about how many time farther from the sun is uranus than erath
Therefore, Uranus is about 19.35 times farther from the sun than Earth.
The distance is what kind?The overall distance an object has traveled is what is meant by the word distance. one illustration. If an automobile travels 5 km east, then turns and travels 8 km further north, it will have covered a total distance of 13 km.
To find out how many times farther from the sun Uranus is compared to Earth, we can divide the distance of Uranus from the sun by the distance of Earth from the sun:
1.8 x 10⁹ miles / 9.3 x 10⁷ miles
Simplifying this expression, we can divide the numerator and denominator by 9.3 x 10⁷:
(1.8 x 10⁹ miles / 9.3 x 10⁷ miles) = (1.8/9.3) x 10⁽⁹⁻⁷⁾
= 0.1935 x 10²
= 19.35
Therefore, Uranus is about 19.35 times farther from the sun than Earth.
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Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?
Answer:
9:35 am
Step-by-step explanation:
7:40 am
+ 40 minutes
7:80
:60 = + 1
:80 - :60 = +:20
8:20
1 hour and 15 minutes =
+ 1 hour =
9:20
+ 15 minutes
9:35 am
Solve the equation
Z/2= 6
z=?
Answer:
multiply both side by 2 to get rid of the 2
z(2)=6(2)
z=12
THIS IS A SHOW-WOHK PHOFLEM. MUST SHOW WORKC CLEARIY USING DIMENSHONAL ANAKYSS AND MRORER UNIS TO GET CFEDIT. After removing 68.8 kilograms of old copper tubing from air conditioning units Mank takes his load to a recycling yard There he is paid $2.50 per pound. He spent 4 gallons of gas. The cost of gas was 3.051 gat How much money did he make in proft?
The cost of gas was 3.051, the profit made by Mank is $366.96.
The amount of old copper tubing removed from air conditioning units is 68.8 kg.
The price paid per pound of copper tubing is $2.50.
The amount of gas used is 4 gallons.
The cost of 1 gallon of gas is $3.051.
By using dimensional analysis, we can convert 68.8 kilograms into pounds as shown below,
1 kg = 2.20462 lbs
68.8 kg = 68.8 × 2.20462 lbs= 151.663856 lbs
Using the above obtained value in pounds and the given price per pound, we can determine the total amount he was paid as shown below,
Total amount paid = 151.663856 × 2.5 = $379.16
The cost of 4 gallons of gas is 4 × 3.051 = $12.204
.Subtracting the gas cost from the amount paid, we get the profit,
Mank's profit = Total amount paid - Cost of gas= $379.16 - $12.204 = $366.956 or $366.96 (rounded to two decimal places)
Therefore, the profit made by Mank is $366.96.
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T/F: An intercepted arc is twice the measure of the inscribed angle it was created from.
False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.
So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.
AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.
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Identify the domain of a radical function with an odd index: A) 0 < x < ∞ B) 0 ≤ x < ∞ C) –∞ < x ≤ 0 D) –∞ < x < ∞
Answer:
(D)\(-\infty<x< \infty\)
Step-by-step explanation:
These two basic rules apply when determining the domain of radical functions.
When the index of the radical function is even, the radicand must be greater than or equal to zero. When the index of the radical function is odd, the radicand can be any real number.For simplicity, the domain of the radical function is the number under the root symbol.
Take for example, the number 2 is even and 3 is odd.
\(4^{1/2}=\sqrt{4}=2 \\(-4)^{1/2}=\sqrt{-4}$ is not a real number\)
Thus, for even index, the domain must be greater than or equal to zero.
However:
\(8^{1/3}=\sqrt[3]{8} =2 \\(-8)^{1/3}=\sqrt[3]{-8}=-2\)
Thus, for an odd index, the domain can be any real number from \(-\infty$ to \infty\).
The correct option therefore is D.
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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find the value of k for which the roots of the quadratic equation 5x-10x+k=0 are real and equal
Answer:
The given equation is 2x
2
−10x+k=0
Here, a=2,b=−10,c=k
∴D=b
2
−4ac=(−10)
2
−4×2×k=100−8k
The given equation will have real and equal roots, if
D=0⇒100−8k=0⇒k=
8
100
=
2
25
Step-by-step explanation:
Use technology to find the solution to the system:
The solution to the equation is x= -10 and y= 5.
We have Equations,
2x + 6y = 10............(1)
3x - 2y = -40............(2)
Now, solving equation (1) and (2) we get
2x + 6y = 10
9x - 6y = -120
+ + +
__________
11x = -110
x = -10
and, 3(-10) - 2y= -40
-30 - 2y= -40
-2y = -10
y=5
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is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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Jane had 5 1/6 pecan pies. Marge had 4 3/6 pecan pies. How much pie do they had all together?
Answer:
9 4/6
Step-by-step explanation:
5 + 4 = 9
1/6 + 3/6 = 4/6
9 4/6
Hope this helps! :)
an insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. (a) (8 pts) find the 95% confidence interval for , the true proportion of all auto accidents that involve teenage drivers. (note: for full credit, show all your work. no credit
The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.
The formula for the confidence interval is:
CI = p1 ± Z * √((p1 * (1 - p1)) / n)
Where:
CI is the confidence interval,
p1 is the sample proportion (proportion of accidents involving teenage drivers),
Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),
n is the sample size (number of accidents checked).
Given:
Number of accidents checked (sample size), n = 582
Number of accidents involving teenage drivers, x = 91
First, we calculate the sample proportion:
p1 = x / n = 91 / 582 ≈ 0.1566
Now we can calculate the confidence interval:
CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)
Calculating the standard error of the proportion:
SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184
Substituting the values into the formula:
CI = 0.1566 ± 1.96 * 0.0184
Calculating the values:
CI = 0.1566 ± 0.0361
Finally, we can simplify the confidence interval:
CI = (0.1205, 0.1927)
Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
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What is the measure of y? 3 27 y Z * A y = [?] Give your answer in simplest form.
Applying the geometric theorem, the measure of y = 9.
What is the Geometric Theorem?The geometric theorem states that, h = √(ab), where h is the altitude of a right triangle, a nd b are the segments formed when the altitude divides the hypotenuse of a right triangle.
Thus:
y = altitude = ?
a = 3
b = 27
Substitute
y = √(3 × 27)
y = √81
y = 9
Therefore, applying the geometric theorem, the measure of y = 9.
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Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
Answer:
B
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
x² + 49 = 0 ( subtract 49 from both sides )
x² = - 49 ( take the square root of both sides )
x = ± \(\sqrt{-49}\) = ± 7i
Solutions are x = - 7i, x = 7i
What is an example of a solution of a system of linear equations?
A solution of a system of linear equations is (0,−4).
What is Systems of Linear Equations?
A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the co-ordinate plane .
Main body:
A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).
y = 3x−4
y=−x/2−4
now solve:
3x=−3/2x
1/2x=0
x=0
If x=0
, solve for the corresponding y-coordinate:
y=3(0)−4
y=−4
So, the solution is (0,−4).
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Which of the following image holds the definition of glide reflection?
Answer:
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
What's the difference between reflection and glide reflection?
A reflection is a single action, such as the reflection across y = x in the blue pre-image and the black dotted-line picture below.
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
In such situation, the blue pre-image is reflected across y = x and then translated by a factor of two to form the green picture.
The figure appears to be moving along the line after several repetitions.
A sine wave resembles the sine from zero to pi that has been repeatedly translated from "pi, 0" across the x-axis.
See the attachment. (Pre-image in blue Dots indicate reflection. Glider reflection picture is green.)
Cheers,
ROR
Answer:
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
Step-by-step explanation:
Last year, the school library had a total of x books. Over the summer, the library acquired another 38 books and now has a total of 1,038 books. Which equation could be used to find x, the number of books the library had last year?
find the length of the curve of x(t)=2t,y(t)=6t−2, for t∈[0,5].
The length of the curve defined by x(t) = 2t and y(t) = 6t - 2, for t ∈ [0, 5], is 10√10 units.
To find the length of the curve defined by the parametric equations x(t) = 2t and y(t) = 6t - 2, where t is in the interval [0, 5], we can use the arc length formula.
The arc length formula for a curve defined by parametric equations is given by:
L = ∫[a to b] √((dx/dt)^2 + (dy/dt)^2) dt
Let's calculate the length of the curve step by step:
Calculate the derivatives of x(t) and y(t) with respect to t:
dx/dt = 2
dy/dt = 6
Square the derivatives and sum them:
(dx/dt)^2 + (dy/dt)^2 = 2^2 + 6^2 = 4 + 36 = 40
Take the square root of the sum:
√((dx/dt)^2 + (dy/dt)^2) = √40 = 2√10
Integrate the square root expression over the interval [0, 5]:
L = ∫[0 to 5] 2√10 dt
Integrate the expression:
L = 2√10 ∫[0 to 5] dt
Evaluate the integral:
L = 2√10 [t] from 0 to 5
L = 2√10 (5 - 0)
L = 10√10
Therefore, the length of the curve defined by x(t) = 2t and y(t) = 6t - 2, for t ∈ [0, 5], is 10√10 units.
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The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?
Amount of Money in a Tip Jar at a Dry Cleaners
Number of Hours Since Dry Cleaners Opened
4
5
6
7
8
Amount of Money in Tip Jar ($)
15.50
18.25
21.00
23.75
26.50
$1.75
$2.75
$4.50
$7.25
There was $4.50 in the tip jar during the opening.
Since, A linear equation has a standard form of:
y = mx + b
where
y = amount of money in tip jar,
m = slope,
x = number of hours,
b = y intercept
Hence, We select any two paired data to calculate for the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (18.25 – 15.50) / (5 – 4)
m = 2.75
Thus, The equation is,
y = 2.75x + b
Now, Choosing any one data pair to calculate for b the y-intercept:
15.50 = 2.75 (4) + b
b = 4.5
Therefore, there was $4.50 in the tip jar during the opening.
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If the temperature changed to 310 K, the rate constant k would change. The ratio of k at 310
K to k at 300. 0 K is closest to what whole number?
A) 1
B) 2
C) 3
D) 4
E) 5
The ratio of the rate constant (k) at a temperature of 310 K to the rate constant at a temperature of 300.0 K can be determined by using the Arrhenius equation, which relates the rate constant to the temperature.
However, without specific information about the temperature dependence of the rate constant, we cannot provide the exact numerical value of the ratio. To determine the closest whole number ratio, the specific temperature dependence of the rate constant needs to be known.
To calculate the ratio of k at 310 K to k at 300.0 K, we need to know the temperature dependence of the rate constant, which is determined by the specific reaction and the Arrhenius equation. The Arrhenius equation states that k is proportional to the exponential of the activation energy divided by the product of the gas constant and the temperature. Without this information, we cannot provide an exact answer.
To determine the closest whole number ratio, you would need to know the temperature dependence and perform the necessary calculations. It is recommended to refer to the specific reaction or seek additional information to determine the temperature dependence and calculate the ratio accurately.
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Deside weather each equation is true for all one or no values of x? 9(x-2)= 7x+5
Equation is true for one x and that x = 23/2
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Find x.
9(x - 2) = 7x + 5
Distribute x
9x - 18 = 7x + 5
9x - 7x = 5 + 18
2x = 23
x = 23/2
Equation is true for one x and that x = 23/2
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What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis? Choose 1 answer:
Answer:
5.6568 units
Step-by-step explanation:
Given the following points :
(8, - 3) and (4, - 7).
Find the distance between them.
(8, - 3) : x1 = 8, y1 = - 3
(4, - 7): x2 = 4, y2 = - 7
Distance (d) = √[(x2 - x1)² + (y2 - y1)²]
d = √[(4 - 8)² + (-7 - (-3))²]
d = √[(-4)² + (-7 +3)²]
d = √[16 + (-4)²]
d = √16 + 16
d = √32
d = 5.6568
d = 5.66 units
really hard question dont bother.
Answer:
Yessir
Step-by-step explanation:
Friend 8028966, is very smart because ballons are very smart
Simplify the expression.
64 7/12
Answer:
56.2
Step-by-step explanation:
If that is 674/12 then that's your answer
Answer:
64.5833333333333333333 = 775/12
Step-by-step explanation:
7/12 = 5.83333333333333333.
What is the remainder when 3x2−7x+5 is divided by x+5?
Answer: 2
Step-by-step explanation:
solve the not exact equation. after find the integration factor
: (x + 2)sin y + (x cos y)y$ = 0
The given differential equation (x + 2)sin(y) + (x*cos(y))*y' = 0 is not an exact equation. To solve it, we need to find the integrating factor, which is determined by comparing the partial derivatives of the coefficients with respect to y and x. Once the integrating factor is found, the equation can be transformed into an exact form and solved.
The given differential equation (x + 2)sin(y) + (x*cos(y))y' = 0 is not an exact equation as the partial derivatives of the coefficients, (x + 2)sin(y) and xcos(y), with respect to y and x are not equal.
To make the equation exact, we need to find the integrating factor. The integrating factor can be determined by dividing the coefficient of y' by sin(y), which is (x*cos(y)) in this case. The integrating factor is then the exponential of the integral of this division.
Calculating the integrating factor, we have:
Integrating factor (IF) = e^∫(x*cos(y))/sin(y) dx
After finding the integrating factor, we multiply the entire equation by it to transform the equation into an exact form.
Once the equation is in an exact form, we can proceed to solve it using standard techniques such as finding the total differential, integrating, or using other methods depending on the specific form of the equation.
Note: The solution to the given equation will depend on the specific form obtained after applying the integrating factor.
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nathan will be working betwen 30 to 39 hours inclusive this week, which is 3 more than triple what he worked last week. how many hours did nathan work last week?
Using mathematical operations, we know that Nathan works for 9 hours last week.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, a number of hours Nathan works last week:
30 - 3 = 27 (three more)
27 / 3 = 9 (triple)
Therefore, using mathematical operations, we know that Nathan works for 9 hours last week.
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Consider the first five terms of the following sequence.
3, 12, 48, 192, 768, ...
If the sequence defines a function, what is a reasonable domain and range of the
function?
a) Domain: (1, 2, 3, 4, 5, ...); Range: 3, 12, 48, 192, 768, ...}
b) Domain: {1, 2, 3, 4, 5, ...);
Range: all real numbers
c) Domain: all real numbers; Range: {3, 12, 48, 192, 768, ...)
d) Domain: all real numbers; Range: all real numbers
Answer:
Step-by-step explanation:
It might be B