Answer:
D.) SSS
Step-by-step explanation:
Considering the proof tells us that many sides seem congruent to each other, I am led to believe these triangles are congruent due to SSS.
Multiply (3x-1)(x+2) using FOIL method
Answer:
3x^2+5x-2
Step-by-step explanation:
(3x-1)(x+2)
3x^2-x+6x-2
3x^2+5x-2
An experiment involving a new pain relief medication involves subjects being randomly assigned to one of two treatment groups. Subjects in one group will take a daily dose of the new medication, and subjects in the other group will take an existing common pain medication. All subjects will check in with a doctor every week to report their symptoms and any side-effects. What does it mean for this experiment to be double-blind?
In the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.
Double-blind means that neither the subjects nor the researchers conducting the experiment will know which group each subject is assigned to. This is important to reduce the chances of bias influencing the results. For example, the doctors may be more likely to report more positive results in the group taking the new medication if they know which group the subject is in. By remaining blind to the group assignment, the doctors can objectively report the results without bias.
Therefore, in the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.
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Which measure would you describe the center of the data?
The choice of measure depends on the characteristics of the data and the purpose of the analysis.
The measure commonly used to describe the center of the data is the arithmetic mean or average. The arithmetic mean is calculated by summing all the data points and dividing the sum by the total number of data points. It provides a representative value that balances the contributions of all the data points.
Another measure of center is the median, which represents the middle value when the data is arranged in ascending or descending order. Unlike the mean, the median is not affected by extreme values or outliers, making it a robust measure of central tendency.
Additionally, there is the mode, which represents the most frequently occurring value in the dataset. It can be useful in cases where identifying the most common observation is important.
Each measure has its strengths and limitations, and researchers need to consider the nature of the data and the research question at hand to determine the most appropriate measure of center
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Graph the following function then provide the domain and range using set notation. Show at least 4 "steps". I have plotted the graph correctly, I used random numbers as x to solve for why then plotted those points....I know the Domain is -infinity to infinity and same with the range....but I dont know how to put -infinity to infinity into set notation. Please help and thank you.
Given:
The given function is,
\(y=\lbrack\frac{1}{2}x\rbrack+1\)The objective is to plot the graph and find the domain and range in set notation.
Explanation:
FIrst, the graph fo the function will be,
To find domain:
Domain represents the interval of the graph from negative x-axis to positive x-axis.
It can be observed from the graph that domain of the function lies in the interval of all real numbers as,
\(D(-\infty,+\infty),\mleft\lbrace x│x\epsilon\R\mright\rbrace\)To find range:
Range represents the interval of the graph from negative y-axis to positive y-axis.
It can be observed from the graph that the range o the function lies in the interval of all real numbers as,
\(R(-\infty,+\infty),\lbrace y│y\epsilon\R\rbrace\)Hence,
The domain of the function is D {x│x∈ℝ}.
The range of te function is R {y│y∈ℝ}.
44% of the group were rested. The group numbered 76. How many were rested?
Rested numbers in group is 33 out of 76.
What is a percentage?A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.
Total numbers in a group = 76.
44% of them were rested.
That is 44% of 76.
To find how many are rested we have to find the value in numbers.
Convert 44% of 76 to numbers.
For this, it can be written as
\(\frac{44}{100} *76\) = 33.44
Therefore 44% of 76 ≅ 33 numbers.(approximately)
Hence, rested numbers in group is 33.
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Bro i don’t even know why y’all gm got me doing this for real
Answer:
Dude, so true-
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
Give me a question and I can help you
(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ
Answer:
See below
Step-by-step explanation:
\(( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS\)
Thus proved
need help with this
Step-by-step explanation:
\( \cos( \beta ) + \sin( \beta ) \tan( \beta ) = \sec( \beta ) \)
\( \cos( \beta ) + \sin( \beta ) \frac{ \sin( \beta ) }{ \cos( \beta ) } \)
\( \cos( \beta ) + \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) } \)
\( \frac{ \cos {}^{2} ( \beta ) }{cos \beta } + \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) } \)
\( \frac{1}{ \cos( \beta ) } \)
\( = \sec( \beta ) \)
\(\cos \beta + \sin \beta \tan \beta \\\\= \cos \beta + (\tan \beta \cos \beta) \tan \beta \\\\=\cos \beta + \tan^2 \beta \cos \beta \\\\=\cos \beta( 1+ \tan^2 \beta)\\\\= \cos \beta \sec^2 \beta\\\\= \dfrac 1{\sec \beta} \times \sec^2 \beta \\\\= \sec \beta\)
45 POINTS WILL GIVE BRAINLIEST PLS HELPPPPPPPP
I will give thanks and five stars to the person that helps me.
Step-by-step explanation:
1st one is x>-16
second one is x<-16
here
in second option
x/-4 > 4
or, -x/4>4
or, -x>16
this is incorrect cause how can a negative number possibly be greater than a positive number
so we trun it to
x<-16
niw
last option is x>16
Write the following in interval notation:
−
1
≤
13
x
−
11
<
7
Answer:
10/13 ≤ x < 18/13
Step-by-step explanation:
-1 ≤ 13x - 11 < 7
If a ≤ u < b then a ≤ u and u < b
⇒ -1 ≤ 13x - 11 and 13x - 11 < 7
-1 ≤ 13x - 11
Add 11 to both sides: 10 ≤ 13x
Divide both sides by 13: 10/13 ≤ x
13x - 11 < 7
Add 11 to both sides: 13x < 18
Divide both sides by 13: x < 18/13
Combine the intervals
10/13 ≤ x < 18/13
suppose that a sphere passes through the point and has center . (a) find the distance between the points and
The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.
To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:
d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)
where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.
In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.
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How does the graph of f(x)1÷3 x+1 compare with the graph of g(x)=1÷3(6 x)+1 ?
Compared to the graph of f_1 the graph of g is Choose...
Choose...
by a scale factor of Choose...
The graph of the function f(x)=x/3+1 and g(x)=6x/3 +1 is attached below.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
f(x)=x/3+1
Intercept points are (-1/3, 1)
g(x)=6x/3 +1
Intercept points are (-1/2, 1)
Hence, The graph of the function is attached below.
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Plz help me NO LINKS OR ELSE I WELL REPORT
What is the best name of the solid that can be formed by this net?
A.rectangular pyramid
B.rectangular prism
C.triangular prism
D.tetrahedron
Answer:
I believe it is C i am very sorry if it's wrong
Answer:C.
Step-by-step explanation:
Convierta a número mixto, lo siguiente:
c) 45/22
Answer:
2 1/22.
Step-by-step explanation:
Dado que un número mixto es aquel que representa una fracción mediante un número entero y una fracción combinados, figurando ambos como representación del valor del número, para convertir a número mixto la fracción 45/22 se debe realizar el siguiente calculo:
45 / 22 = X
2.045 = X
0.045 = 1/22
Así, 45/22 representado como número mixto es igual a 2 1/22.
Plz help will mark Brainliest What is the length of Ac
6 and 2/3 times 4 and 3/4 is equal to what?
Answer:
bRAINELIST PLS! A useless mod deleted all my answers for no reason
Step-by-step explanation:
6 2/3 * 4 3/4
20/3 * 19/4
380/12 = 31.6666666666666...
Answer:
25 5/12
Step-by-step explanation:
6*4 = 24
8/12 * 9/12 = 17/12
= 25 5/12
Hope this helps and can you pls mark me brainliest?:) need to get to expert
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
What is the value of h(−2) when h(x)=3x+1? -5 6 7 3
Answer:
-5
Step-by-step explanation:
h(x)=3x+1
Let x = -2
h(-2) = 3*-2 +1
= -6+1
= -5
Help me pls. You will get a lot of points
Answer:
2y = 7
y = 3 1/2
Step-by-step explanation:
Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
What are the similarities and differences between the curves of sine and cosine functions?
Answer:
Similarity: sinusoidal function has the same general shape as a sine or cosine function. Differences: y = sin x and y = cos x
Step-by-step explanation:
It was found that 61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. 33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years. 18 percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places
Answer:
0.76 = 76% probability that a tourist visited at least one of these places
Step-by-step explanation:
I am going to solve this question using the probabilities as Venn sets.
We have that:
Event A: Tourist visited Beinjing.
Event B: Tourist visited Xi'an.
61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.
This means that \(P(A) = 0.61\)
33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.
This means that \(P(B) = 0.33\)
18 percent of the tourists went to both Beijing and Xi'an.
This means that \(P(A \cap B) = 0.18\)
What is the probability that a tourist visited at least one of these places?
This is
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
We already found these values. So
\(P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76\)
0.76 = 76% probability that a tourist visited at least one of these places
what is 3 3/4 - 1 1/4?
Answer:
2 2/4 or 2 1/2
Step-by-step explanation:
3-1=2
3/4-1/4=2/4
2/4=1/2
Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
Circumference: 12π + 8 cm,
Area: 48 ( cm )^2
Step-by-step explanation:
This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.
Circumference of 1 semicircle = \(\frac{1}{2}\)( πd ) = \(\frac{1}{2}\)π( 4 ) = 2π ( cm )
Circumference of Figure (composed of 6 semicircles + 2 sides of a square),
We know that 6 semicircles should be 6 \(*\) 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2
Circumference of Figure = 6 \(*\) 2π + 2 = 12π + 8 ( cm )
_____________
The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.
Area of 1 semicircle = 1/2π\(r^2\) = 1/2π\((2)^2\) = 2π ( cm ),
Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( \(cm^2\) )
So, the area of the figure should be the following -
Area of Figure = 3 \(*\) 2π + 3( 16 - 2π ) = 48 ( cm )^2
Complete the table below to find solutions to the linear equation −10x−y=−20.
Answer:
−10x − y = −20
y = -10x + 20
hope this helps, good luck :)
please help me to solve this question!!!
the manager of a bank record of the amount of each Time customer spent waiting in the line during peak business hours on Monday the waiting times are shown below find the mean waiting time Roger answer to one Decimal place 6.8 min 7.5 min 7.2 min brainly
Answer:
To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.
Step-by-step explanation:
The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5