Answers
[tex]~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}[/tex]
first case
[tex]|x-1|=3\\\\x-1=3\\\\x=4[/tex]
second case
[tex]-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2[/tex]
The solutions are {-2, 4}
Related Questions
Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?.
Answers
Answer: A large mean difference and small sample variances
Step-by-step explanation:
Effect size (η) is a statistical measure that determines the strength of the association (numerically) between two variables. For example, if we have data on the weight of male and female candidates and we realize that, on average, males are heavier than females, the difference between the weight of males and the weight of female candidates is known as the effect size.
The larger the effect size, the larger the weight difference between males and females will be.
Statistic effect size helps us in analyzing if the difference is factual or if it is affected by a change of factors.
In hypothesis testing, effect size, power, sample size, and critical significance level are related to each other.
The effect size formula for a hypothesis test of mean difference is:
η = [tex]\frac{x1-x2}{\sqrt[]{8^2} }[/tex]
The denominator s² is the combined sample variance.
[tex]8^2 =[/tex] ⊕
The effect size is affected by two components:
Sample mean difference
Sample variance.
As the sample mean difference is directly proportional to the effect size, on increasing the sample mean difference value the effect size will also increase.
Ans the sample variance is inversely proportional to the the effect size, on decreasing the sample variance value the effect size will increase and vice-versa.
Thus, the correct option is A large mean difference and small sample variances
What is the length of the hypotenuse?
Answers
Answer:
55.866 ft
Step-by-step explanation:
Use Pythagorean Theorem:
a² + b² = c²
(39)² + (40)² = c²
3121 = c²
Square root of both sides
c = 55.866 ft should be the answer.
Hope this helps
Line segment st is dilated to create line segment s't' using the dilation rule dq,2.25. point q is the center of dilation. line segment s t is dilated to create line segment s prime t prime. the length of q t is 1.2 and the length of q s is 2. the length of s s prime is x and the length of t t prime is 1.5. what is x, the distance between points s' and s? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units
Answers
The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units
How to determine the value of x?The given parameters are:
qs = 2
qt = 1.2
tt' = 1.5
ss' = x
To calculate the value of x, we make use of the following equivalent ratio
ss' : qs = tt' : qt
So, we have:
x : 2 = 1.5 : 1.2
Express as fractions
x/2 = 1.5/1.2
Multiply both sides by 2
x = 2 * 1.5/1.2
Evaluate the product
x = 2.5
Hence, the value of x is 2.5 units
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Answer:
2.5
Step-by-step explanation:
When you perform a rigid transformation on a figure, the figure's ________ change(s).
A
shape
B
side measurements
C
angle measurements
D
position on the coordinate plane
Answers
Answer: D
Step-by-step explanation:
This is just definition.
please help, will mark brainliest!!
Answers
Answer:
$12000
Step-by-step explanation:
P=CRT
C=cost
R=rate
T=time
P=3000 x 8 x 50/100= $12000
Find the perimeter of the polygon. a trapezoid with bottom base of 8 centimeters, top base of 5 centimeters, and sides of 6 centimeters. a. 25 cm c. 30 cm b. 20 cm d. 28 cm
Answers
The perimeter of the polygon, which is a trapezoid with the given parameters, is: A. 25 cm.
What is the Perimeter of a Polygon?To find the perimeter of a polygon, sum all the length of the sides of the polygon.
Given the sides of the trapezoid as 8 cm, 5 cm, and two sides of 6 cm each
Perimeter = 8 + 5 + 6 + 6
Perimeter = 25 cm.
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Suppose △JMN≅△KQR.
Which congruency statements are true?
Select each correct answer.
∠M≅∠Q
NJ¯¯¯¯¯≅KQ¯¯¯¯¯¯
∠N≅∠M
∠R≅∠K
QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯
MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯
Answers
The congruency statements that are true about the congruent triangles are: ∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR.
What are Congruent Triangles?Congruent triangles are triangles whose corresponding parts (angles and sides) are congruent to each other.
So, if △JMN ≅ △KQR, it means the corresponding angles and sides of both triangles are congruent.
Therefore, the true congruency statements are:
∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR
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welp pls.i’m so confused
Answers
Let's see
Area=Length×Breadth(2x+1)(x-7)=172x(x-7)+1(x-7)=172x²-14x+x-7=172x²-13x-24=0On solving
x=8So
length
2(8)+1=17Width
8-7=1A rectangle has a length of (2x+1) units, a width of (x-7) units and an Area of 17 square units. Find the dimensions of the rectangle.
✭ Explanation -:In this question we are provided with the length of a rectangle (2x + 1) units and the width of the rectangle (x - 7). It is also given that the area is 17 units². We are asked to calculate the length and width of the rectangle.
First we will find the value of x
We know,
[tex] \bull \: \small\boxed{ \rm{ Area_{(rectangle)} = Length × Width}}[/tex]
Substituting the values we get
[tex] \small\sf{ (2x + 1 ) (x - 7) = 17}[/tex]
[tex] \small\rm{ 2x( x - 7) + 1(x - 7) = 17}[/tex]
[tex] \small\rm{ 2 {x}^{2} - 14x + 1(x - 7) = 17}[/tex]
[tex] \small\rm{ 2 {x}^{2} - 13x - 7 = 17}[/tex]
[tex] \small\rm{2 {x}^{2} - 13x - 7 - 17 = 0 } [/tex]
[tex] \small\rm{2 {x}^{2} - 13x - 24 = 0} [/tex]
[tex] \small\rm{x = \dfrac{13 + 19}{2 \times 2} } [/tex]
[tex] \small\rm{ x = \dfrac{32}{4} = 8}[/tex]
[tex] \small\sf{x = 8} [/tex]
Now we will substitute the value of x
Length = (2x + 1) = 2 × 8 + 1 = 16 + 1 = 17 units
Width = (x - 7) = 8 - 7 = 1 units
Hence, the length of the rectangle is 17 units and the width is 1 units.Why is not the term perimeter used instead of circumference?
Answers
Answer:
Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.
So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.
Perimeter is a wide term which means the total length of the surrounding (lines ) of the 2D figure.
circumference is the special case of the perimeter in which perimeter of Arc or circular lines are taken in count .
Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. The equation that
models the total cost (T) is T (g) = 13.10g +65.54 Which value in the equation represents the rate of change?
A
$65.54
B
$78.63
$13.10
the number of gigabytes used over
I don't know yet
4
04.02.05.1289
D
E
Com
5. SE
Answers
Answer:
$13.10 represents the rate of change
Step-by-step explanation:
13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.
For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50
What is mFGH?
A.-39 degrees
B. -52 degrees
C.-78 degrees
D.- 141 degrees
Answers
Answer:
78
Step-by-step explanation:
You add 115 and 167 which will give you 282.
Subtract 282 from 360, which will equal 78.
Alejandro was picked by his teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the board. was he correct? explain your reasoning
Answers
Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.
What is the integer that has the square root closest to n, without going over?The integer that has square root n is given by:
S(n) = n².
Hence the integer that has a square root closest to n is given by:
C(n) = n² - 1.
In this problem, we want the square root closest to n = 7, hence:
C(7) = 7² - 1 = 48.
Which is a different value than 52, hence Alejandro is not correct.
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Find the area of the stained glass window shown if the diameter of the semi-circle is 63 inches. Use 3.14 for pi. Round your answer to the nearest square inch, and enter the number only.
Answers
Answer:
1558
Step-by-step explanation:
1/2(63) = radius = 31.5 /// pi(31.5)^2 = 3115.665 /// 3115.665/ 2 = the area of the semi circle is 1558.
Answer: 1413
Step-by-step explanation:
find the range of the following data :
21 , 16 , 30 , 15 , 16 , 18 , 10 , 24 , 26 , 20
Answers
Please help need now
Answers
The total length of the paths will be 12.6 yards. Then the correct option is G.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
A city park is in the shape parallelogram as shown.
Two paths will be installed along the diagonals.
Then the total length of the paths will be
Total length = 2 (3.5 + 2.8)
Total length = 2 (6.3)
Total length = 12.6 yards
More about the parallelogram link is given below.
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Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following
represents the probability that a day in early March would have either rain or snow?
1.) .30
2.) .34
3.) .02
4.) .26
Answers
The Venn probability that a a day in early March would have either rain or snow is given by:
4.) .26
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this problem, we have that the probabilities are given as follows:
[tex]P(A) = 0.18, P(B) = 0.12, P(A \cap B) = 0.04[/tex]
Hence:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cup B) = 0.18 + 0.12 - 0.04[/tex]
[tex]P(A \cup B) = 0.26[/tex]
Which means that option 4 is correct.
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Ayúdenme en esto porfavor
Answers
Answer:
The distance from point A(x, 1) to point B(0, 7) is equal to 10. Calculate the value of the abscissa x.
Para resolver un problema como este lo primero que tenemos que hacer es sacar regla de tres:
----- 48
----- [tex]\bold{\cfrac{3}{4}}[/tex]
----- X
Una vez sacado la regla de tres debemos Saber los datos que son los siguientes
[tex] \underline{\bold{Ahora \: \: Planteamos \: \: la \: \: ecuacion \: : } }[/tex]
En este caso debemos hallar el 3/4% de 48.
Ahora Usamos la regla de tres simple.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Rightarrow\bold{\cfrac{3}{4} * 48 }[/tex]
Comenzamos a Resolver :[tex] \: \: \: \: \: \: \: \: \: \bold{\cfrac{3}{4} * 48 = \cfrac{ \cfrac{3}{4} }{100} * 48 }[/tex]
[tex] \bold{\cfrac{3}{400} \: * 48 = \cfrac{3}{25}* 3 = \cfrac{9}{25} }[/tex]
Ahora Hallamos el decimal de 9/25
[tex] \: \: \: \: \: \bold{\cfrac{9}{25} = 9 \div 25 = 0.36 }[/tex]
Entonces podemos decir que:
En total a Susana le faltan 0.36km para llegar a casa.
What is the gradient of a line perpendicular to a line with a gradient of 2?
Answers
Answer:
- 1/2
Step-by-step explanation:
Slope, m , is the sama as 'gradient'....
if slope of one line is m, the perpindicular is -1/m
2 then perpindicular = - 1/2
[tex]\Large\texttt{Answer\::}[/tex]
-1/2
[tex]\Large\texttt{Calculations\::}[/tex]
If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .
In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :
2 --> -2 --> [tex]-\displaystyle\frac{1}{2}[/tex]
So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
help me with this math problem, please
Answers
Answer:
Refer the attachment
SO, OPTION (D) IS CORRECT
Answer:
Option (D) is the correct answer
If you like this answer
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Add this answer in Brainliest Answer...........................
Which definition best describes a sphere?
A sphere is a three-dimensional figure that has a circular base and tapers to a point.
A sphere is three dimensional and round, and every point on its surface is the same distance from its center.
A sphere is a three-dimensional figure that has circular or oval bases that are connected by a curved surface.
A sphere is two dimensional and round, and every point on its surface is a different distance from its center.
Answers
Answer:
I think its BFind the equation of the straight line with the gradient -2/3 and passing through the point(1,1)
Answers
Answer:
y = -2/3 x + 5/3
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
1 = -2/3 × 1 + b
3/3 + 2/3 = b
b = 5/3
y = -2/3 x + 5/3
Solve the inequality 3(y-4)<6
Answers
The answer is y<6
Add 12 to both sides
Simplify
Divide both sides by the same factor
Simplify
An elevator starts at floor 9. It goes up 10 floors twice, and then it goes down 18 floors. A second elevator
starts on floor 28. It goes down 5 floors 2 times, and then it goes up 11 floors. Which elevator ends on a
higher floor?
Answers
Answer:
Higher floor- Elevator 2 ends on a higher floor
Elevator 1- ends on floor 11
Elevator 2- ends on floor 29
Step-by-step explanation:
Calculate the volume of the prism shown below. 4 cm 2 cm 8 cm Volume: cm3
Answers
Answer:
64
Step-by-step explanation:
4*2=8*8=64
ur welcome
64 cm3
please please urgentttt
!!!!!
its geometry
Answers
Answer:
6,812,019 ft cubed
Step-by-step explanation:
1/3(b*h)
1/3(153^2*873)
1/3(23,409*873)
1/3(20,436,057) = 6,812,019
i need some real help pleas click on
Answers
Answer:
im helping
Step-by-step explanation:
I clicked on this..?
What is the value of x
A)8
B)6
C)1
D)7
Answers
Answer:
D) 7
Step-by-step explanation:
Tangents from the same external point are equal in length.
8x - 7 = 6x + 7Add 7 on both sides.
8x - 7 + 7 = 6x + 7 + 78x = 6x + 14Subtract 6x from both sides.
8x - 6x = 6x + 14 - 6x2x = 14x = 7The correct option is D.
Solve the system. And explain please cause I have 4 more
The second photo is an example of what needs to be done, excuse the bad handwriting lol.
Answers
Answer:
Wong was conducting a field study in the Amazon rainforest when he
discovered a prokaryotic organism that has a cell wall and circular
chromosomes. Which of the
Find the value of x in the following 2x/7-3=2
Answers
Answer:
X=4
Step-by-step explanation:
Answer the question, don't mind the highlighted one
Answers
Answer: A
Step-by-step explanation:
Only the first scatterplot has the first data point correctly plotted.
