Answer:
a 50% chance of getting tails
but about the spinner It depends on what kind of spinner it is and how many sides/numbers/etc
does it have
Write an equation for each line. m = 5/6 and the y -intercept is (0,12) .
The equation of line for m = 5/6 and the y -intercept is (0,12) is y = 5/6x + 12.
What is the equation of line?The formula for a straight line is y = mx + c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
The equation for line is y = mx + c
Given, m = 5/6, y-intercept = (0,12)
now putting the values in the equation,
y = 5/6x + 12
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Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x² - 5)(x² + 2)
Step-by-step explanation:
6x⁴ - 5x² + 12x² - 10
(6x⁴ - 5x²) (12x² - 10)
x²(6x² - 5) + 2(6x² - 5)
(6x² - 5)(x² + 2)
I hope this helps!
Answer:
Step-by-step explanation:
So we have 6x4-5x2+12x2-10
So we are going to add same elements
-5x2+12x2=7x2
so now we have
6x4 +7x2-10
Let u=x2
6u2+7u-10
Now we factor
(6u-5)(u+2)
Replace x2 for u
(6x2-5)(x2+2)
Hope this helps!^^
help pls pls pls pls pls pls
Answer:
It the square with 3/4 shaded. the point shows 0.75 and the square shows 75% which is 3/4.
6^5x6^-5=______.
What
Answer:
6^5 is equals to 7776 and 7776×6^-5 is equals to 1
What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?
y = x – 6
y = x + 6
y = x + 26
y = x + 10
The equation of the line that is perpendicular to given line is y = -x -2
Equation of a lineFrom the question, we are to determine the equation of the line
From the given information,
We have that the two lines are perpendicular
If two lines are perpendicular, the product of their slopes is -1
That is,
m₁m₂ = -1
Where m₁ is the slope of the first equation
and m₂ is the slope of the second equation
In the given equation,
y = x - 2
Compare to the general form of the equation of a line
y = mx + b
Where m is the slope
and b is the y-intercept
Thus,
In the equation, y = x - 2
Slope = 1
Therefore,
The slope of the equation we are to determine is -1
Also, from the given information,
The line passes through the point (-12, 10)
Using the point-slope form of a line
y - y₁ = m(x - x₁)
x₁ = -12
y₁ = 10
Thus,
y - y₁ = m(x - x₁)
y - 10 = -1(x - -12)
y - 10 = -1(x + 12)
y - 10 = -x -12
y = -x -12 + 10
y = -x -2
Hence, the equation of the line that is perpendicular to given line is y = -x -2
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a class of 40 students are taking the following. 18 are taking math 20 are taking english 15 are taking chemistry 4 are taking chemistry and english 6 are taking math and english 8 are taking chemistry and math 2 are taking alll subject how many are taking english only? how many are taking math only? how many are taking che,mistry only? how many are not taking of the three?
Using Venn sets, it is found that:
12 students are taking English only.6 students are taking Math only.5 students are taking Chemistry only.3 students are not taking any of the classes.What are the Venn Sets?For this problem, we consider the following sets:
Set A: students taking Math.Set B: students taking English.Set C: students taking Chemistry.2 are taking all subjects, hence:
(A ∩ B ∩ C) = 2.
8 are taking chemistry and math, hence:
(A ∩ C) + (A ∩ B ∩ C) = 8.
(A ∩ C) = 6.
6 are taking math and english, hence:
(A ∩ B) + (A ∩ B ∩ C) = 6.
(A ∩ B) = 4.
4 are taking chemistry and english, hence:
(B ∩ C) + (A ∩ B ∩ C) = 4.
(B ∩ C) = 2.
15 are taking chemistry, hence:
C + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 15.
C + 6 + 2 + 2 = 15.
C = 5.
20 are taking english, hence:
B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 20
B + 4 + 2 + 2 = 20
B = 12.
18 are taking math, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 18
A + 4 + 6 + 2 = 18
A = 6.
There is a total of 40 students, hence:
None + A + B + C + (A ∩ B) + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 40.
None + 6 + 12 + 5 + 4 + 6 + 2 + 2 = 40.
None + 37 = 40.
None = 3.
Hence:
12 students are taking English only.6 students are taking Math only.5 students are taking Chemistry only.3 students are not taking any of the classes.More can be learned about Venn sets at brainly.com/question/24388608
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What is ±/324 ?
Nesecito ayar la respuesta
Answer:
+18 or -18
Step-by-step explanation:
53(2x−6)+18=23(x+3)−4
Answer: X=365/83 OR x= 4.39
Step-by-step explanation:
roger had 245 baseball cards in 5 binders. if each binder has the same number of cards, how many cards are in each binder
Answer:
49 cards in each binder
Step-by-step explanation:
If there are 5 binders and each binder contains the same amount of cards, you can just do 245 divided by 5 which gives you 49.
please help!!!
In the figure below angle ADB = (7x +2) degrees, and angle CDB = (3x - 2) degrees. Find the measure of the angle CDB.
Given that ∠ADB and ∠CDB are complimentary angles, the numerical measure of angle CDB is 25 degrees.
What is the numerical measure of angle CDB?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
Given that;
∠ADB = (7x +2)∠ CDB = (3x - 2)m∠ CDB = ?Since ∠CDA is a right triangle, the sum of ∠ADB and ∠CDB sums up to 90 degrees.
∠ADB + ∠CDB = 90°
(7x +2) + (3x - 2) = 90
Solve for x
7x +2 + 3x - 2 = 90
7x + 3x - 2 +2 = 90
10x = 90
x = 90/10
x = 9
Now, the numerical measure of angle CDB will be;
m∠CDB = (3x - 2)
Plug in x=9
m∠CDB = 3(9) - 2
m∠CDB = 27 - 2
m∠CDB = 25 degrees
Given that ∠ADB and ∠CDB are complimentary angles, the numerical measure of angle CDB is 25 degrees.
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Mariah thinks that the following equation is always true (that it's an identity). Is it always true? Find evidence
for or against the following equivalency rule by substituting various values in for a and b.
(a+b)² = a² + b²
Answer: It is not always true, so it's not an identity
========================================================
Explanation:
Let's try replacing each 'a' with 1, and each b with 2. Feel free to pick two of your favorite nonzero numbers.
So we'll plug in a = 1 and b = 2
[tex](a+b)^2 = a^2+b^2\\\\(1+2)^2 = 1^2+2^2\\\\(3)^2 = 1^2+2^2\\\\9 = 1+4\\\\9 = 5\\\\[/tex]
The last equation is a false statement. This means the first equation is also false for a = 1 and b = 2.
This is one counter-example to disprove that (a+b)² = a² + b² is true in general.
Therefore, the equation is not an identity.
--------------
What is an identity however is this
(a+b)² = a² + 2ab + b²
If you were to plug in a = 1 and b = 2, then you'd get 9 on each side. This is one example to help partially confirm it's an identity.
More rigorous proof is in the form of using the FOIL method, the distributive property, or the box method.
pls help with homework
Step-by-step explanation:
Question no 23 : Option d
Question no 21:
angles on a straight lin is equal to 180°
150-180 = 30 (option d)
I just answered question no 23 and 21
re check the answers if you can I am a student too just trying to help as much as I can.
m
10) Skylar claims that rigid transformations were used to map AB to A'B', for A(-1,13
B(1,5), A '(2, 3), and B'(6, 1). Is Skylar correct?
Yes; the distance from A to A'is the same as the distance from B to B’
No; the measure of AB is less than the measure of A'B'.
Yes; the measure of AB is the same as the measure of A'B'
No; the measure of AB is greater than the measure of A'B'.
The transformation used to map AB to A'B' is not a rigid transformation since the measure of AB is greater than the measure of A'B' and not equal.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
A rigid transformation is a transformation that preserves the shape and size such as rotation, reflection and translation.
Given the points A(-1, 13), B(1, 5), A'(2, 3), and B'(6, 1), hence:
[tex]AB=\sqrt{(5-13)^2+(1-(-1))^2} =\sqrt{68}\\\\A'B'=\sqrt{(1-3)^2+(6-2)^2}=\sqrt{20}[/tex]
The transformation used to map AB to A'B' is not a rigid transformation since the measure of AB is greater than the measure of A'B' and not equal.
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The exchange rate of Japanese Yen on a certain day was Rs 10.25 . On the same day, if $3 was exchanged for Rs 345, how many Yens could be exchanged for $123?
The amount of $123 will be equal to 1380 yens.
What is currency exchange?The rate at which one currency will be exchanged for another is known as the exchange rate in the world of finance. The most frequent types of currencies are national currencies.
Given that the exchange rate of the Japanese Yen on a certain day was Rs 10.25. On the same day, if $3 was exchanged for Rs 345.
The amount of $123 in the yens will be calculated by forming the equations below:-
1 yen = 10.25 rs
1 rs = ( 1 / 10.25 ) yens ........................(1)
$3 = 345 rs
1 rs = $3 / 345 .........................(2)
From both the equations:-
( 1 / 10.25 ) yens = $ ( 3 / 345 )
$ 1 = ( 345 / ( 10.25 x 3 ) yen
$ 123 = ( 345 x 123 / ( 10.25 x 3 ) yen
$ 123 = 1380 yen
Therefore, the amount of $123 will be equal to 1380 yens.
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Add or subtract as indicated.
75.2 + 123.96 + 3.897
Answer: 203.057
Step-by-step explanation:
75.2+123.96+3.897
199.16+3.897
203.057
Log x + log 6= log(2x+1)
In logarithm , value of function is 1/4.
How should log be defined?
The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 102 = 100.The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e.Log x + log 6= log(2x+1)
use log property log m + log n = log ( mn)
log ( 6x) = log (2x + 1)
6x = 2x + 1
4x = 1
x = 1/4
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Can someone help explain how to solve
Can someone help explain how to solve
In the picture there are 4 question that are
1) [tex]A(-6,-2)\rightarrow A^{'}(-6,2)\\B(-3,-6)\rightarrow B^{'}(-3,6)\\C(-2,-2)\rightarrow C^{'}(-2,2)\\[/tex]
2)[tex]D(15,10)\rightarrow D^{'}(6,4)\\E(5,10)\rightarrow E^{'}(2,4)\\F(10,-5)\rightarrow F^{'}(4,-2)\\[/tex]
3)[tex]G(-2,7)\rightarrow G^{'}(-7,-2)\\H(-4,8)\rightarrow H^{'}(-8,-4)\\I(-3,5)\rightarrow I^{'}(-5,-3)\\[/tex]
4) [tex]J(11,-8)\rightarrow J^{'}(1,-5)\\K(6,-1)\rightarrow K^{'}(-4,2)\\L(3,-7)\rightarrow L^{'}(-7,4)\\[/tex]
The transformation has the following form:
1)[tex](x,y)\rightarrow(x,-y)[/tex]
2)[tex](x,y)\rightarrow\frac{2}{5}(x,y)[/tex]
3)[tex](x,y)\rightarrow(-y,x)\\[/tex]
4) It does not have transformation.
Geometric Transformation:
Images of triangles, quadrilaterals, pentagons, and other geometric shapes can undergo geometric transformations through the vertices in a Cartesian plane. Reflection, rotation, and translation are the three transformations; they only affect the geometric figure's location and not its size. Expansion and contraction are the two transformations that alter the geometric figure's size.
It is necessary to know the sort of transformation that took place given the points and their transformations.
1) We observe that point transformation A,B and C are transformed.
The transformation has the following form:
[tex](x,y)\rightarrow(x,-y)[/tex]
Every x-value remains constant, while every y-value flips from what it was.[tex](x,y)\rightarrow(x,-y)[/tex]
2)We observe that point transformations D, E, and F are contractions. Let's now identify the scalar that was applied to the transformation. We compute the product of the original point's coordinate and one of the transformation point's coordinates.
[tex]\frac{D^{'} _{y} }{D_{ y}} =\frac{4}{10} =\frac{2}{5}[/tex]
We multiply the coordinates of points E and F and check the results to make sure this is true.
For E:
[tex]\frac{2}{5} (5,10)=(2,4)\\Therefore,E^{'} =(2,4)[/tex]
For F:
[tex]\frac{2}{5} (10,-6)=(4,-2)\\Therefore,F^{'} =(4,-2)[/tex]
Therefore, The transformation has the following form:
[tex](x,y)\rightarrow\frac{2}{5}(x,y)[/tex]
3)We observe that point transformation G,H and I are transformed.
The transformation has the following form:
[tex](x,y)\rightarrow(-y,x)[/tex]
Every y-value flips from what it was to the opposite. The x and y values are reversed.[tex](x,y)\rightarrow(-y,x)[/tex]
4)We observe that point transformation J,K and L are not transformed.
It does not satisfy the condition of the transformation.
Therefore, this is how we solve the transformation.
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Ximena has procrastinated all her homework until the very last minute. She has 2 hours to spare until midnight, which is when all her homework is due. Her English homework will take 30 more minutes than her Biology homework, and her Math homework will take three times as long as her Biology homework. How long will each subject take?
Answer:
English: 48 minutes
Math: 54 minutes
Biology: 18 minutes
Step-by-step explanation:
Set up each subject with the variable x as the biology homework.:
English: (x+30)
Math: (3x)
Biology: (x)
Now add them together and set it equal to 120 (2 hours into minutes):
x + 30 + 3x + x = 120
Move 120 over to the left and simplify:
5x - 90 = 0
Solve:
5(x - 18) = 0
x - 18 = 0
x = 18
So biology is 18 minutes, and then plug 18 in for all the other subjects:
English: 18+30=48 minutes
Math: 3*18=54 minutes
Biology: 18 minutes
p: -3x + 8x - 5x = x
q: (3x)(5y) = 15xy
Which of the following statements is false?
a) p → q
b) p ∨ q
c) q → p
The correct answers would be options (A) and (C).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given two cases,
p: -3x + 8x - 5x = x
q: (3x)(5y) = 15xy
We have to need to isolate the variables:
p: -3x + 8x - 5x = x
⇒ (-3x - 5x) + 8x = x
⇒ -8x + 8x = x
⇒ x = 0
This is not always true, hence the statement is incorrect because this will hold true for only one value of x.
q: (3x)(5y) = 15xy
⇒ (3x)(5y) = 15xy
⇒ (3×5)(x×y) = 15xy
⇒ 15xy = 15xy
If both x and y are true for any value, then the statement is true.
Hence, p → q and q → p are false.
Therefore, the correct answers would be options (A) and (C).
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ASSIGN #1: Object A is moving 12 feet per second (ft/sec). Object B is moving 5 miles per
R.A. hour (mila/hr). Which object is moving faster
According to the given statement;
object A is moving faster by 8.184-5= 3.184
3.184 mph faster.
What is speed?The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed only has a direction and no magnitude, it is a scalar quantity.
The most crucial scientific concept is measurement. Base or physical fundamental units are used to measure a wide range of measurable quantities. One such measurable quantity is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
According to the given valus;
Speed of object A = 12 ft per sec
I foot per second = 0.682 mph
12 ft per sec = 0.682x 12
= 8.184 mph
object В speed = 5 mph
object A is moving faster than B.
object A is moving faster by 8.184-5= 3.184
3.184 mph faster.
Hence,object A is moving faster than B by 3.184 mph.
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Can you please help me
What are the coordinates of G after it is translated LEFT 4 UNITS AND UP 3 UNITS?
Answer:
Step-by-step explanation:
Here ya go!
The current location of G is (-4,3)
If it was translated to the left by four units, that would be an extra -4
so our new coordinates are (-8,3)
Now if we translate it up 3 units, thats adding 3
so our new coordinates are
(-8,6)
Hope this helps!^^
Solve each equation. 12-3(2 w+1)=7 w-3(7+w)
The solution of the given linear equation in one variable 12 -3(2w + 1) = 7w -3(7 + w) is at w = 3.
According to the given question.
We have a linear equation in one variable.
12 -3(2w + 1) = 7w -3(7 + w)
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 12 -3(2w + 1) = 7w -3(7 + w) is given by
12 - 3(2w + 1) = 7w - 3(7 + w)
⇒ 12 - 6w -3 = 7w - 21 -3w (by distributive rule)
⇒ 9 - 6w = 4w - 21 (subtracting the like terms)
⇒ 9 + 21 = 4w + 6w
⇒ 30 = 10w
⇒ 30/10 = w
⇒ w = 3
Hence, the solution of the given linear equation in one variable 12 -3(2w + 1) = 7w -3(7 + w) is at w = 3.
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Someone please help I don’t understand this
to get the equation of any straight line, we simply need two points off of it, again, let's use the ones from the table in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{11}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ 4 }{ 2 }\implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-7=2x-4\implies {\LARGE \begin{array}{llll} y=2x+3 \end{array}}[/tex]
Aiden leans a 30-foot ladder against a wall so that it forms an angle of 78 ∘ ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
x=6.24
Step-by-step explanation:
cos 78° =adj/hyp=x/30
cos 78° =x/30
x=cos 78°×30
x=0.2079×30
x=6.237350725
to the nearest hundredth
x=6.24
A car rental company charges a daily rate of $ 25 plus $ 0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 39.00. How many miles did you drive?
Answer:
140 miles
Step-by-step explanation:
Let's solve the equation step by step,
Step 1: Substract the daily charge of $25 from $39
➟ $39 - $25
➟ $14 {remaining cost except daily rate}
Step 2: Divide $14 by cost per mile
➟ $14/0.10
➟ 140 {total mile driven}
∴ He/she drove 140 miles
Answer: 140 Miles
Step-by-step explanation:
39-25= 14
14/.10 = 140
Combine like terms. What is a simpler form of each expression?
(b) -(8 a+3 b)+10(2 a-5 b)
By combining the like terms, the simpler form of expression -(8a+3b)+10(2a-5b) is 12a-53b
Given,
The expression = -(8a+3b)+10(2a-5b)
Expand the terms
-(8a+3b)+10(2a-5b)= -8a-3b+20a-50b
Combining like terms
-8a-3b+20a-50b = 12a-53b
Hence, by combining the like terms, the simpler form of expression is -(8a+3b)+10(2a-5b) 12a-53b
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The arithmetic mean of the monthly salaries of two employees is $ 3210 . One employee earns $ 3470 per month. What is the monthly salary of the other employee?
a. What is the given information and what is the unknown?
$2950 is the monthly salary of the other employee.
a. the given information = mean of two salaries = 3210
= salary of 1st employee =3470
the unknown information = salary of 2nd employee = 2950
How to solve an equation?
To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
We know that mean, [tex]m = \frac{\text{sum of the terms}}{\text{number of terms}}[/tex]
Here is given the
mean = 3210
term₁ = 3470 (salary of one of the employees)
term₂ = ? (salary of the 2nd employee)
So, if we simplify
⇒ [tex]m = \frac{\text{sum of the terms}}{\text{number of terms}}[/tex]
⇒ [tex]3210 = \frac{3470 + term_2}{2}[/tex]
⇒ [tex]3210[/tex] × [tex]2 = 3470 + term_2[/tex]
⇒ [tex]6420[/tex] = [tex]3470 + term_2[/tex]
⇒ [tex]term_2 = 6420 - 3470[/tex]
⇒ [tex]term_2 = 2950[/tex]
So, the salary of the other employs is $ 2950
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Evaluate the given expression when x = 3.
2
x + x² +2:
Answer:
3.2 + 3.2squared + 2 = 15.44
Step-by-step explanation:
Answer:
Step-by-step explanation:
x + x^2 + 2
3.2 + 3.2^2 + 2
3.2 + 10.24 + 2 = 15.44
bir basamaklı en küçük pozitif tam sayı
Answer:
Step-by-step explanation:
jjjjjjjj
4 in. If you'd like, you can use a calculator. 9 in. SA = 2πr² + 2πrh Use 3.14 for T. Find the surface area of a cylinder with a height of 9 inches and base radius of 4 inches. Do NOT round your answer. SA = [?] square inches
PLEASE HELP ASAP .
Answer: SA=326.56 inches
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi r(r+h)\\r=4 \ inches\ \ \ \ \ h=9\ inches\ \ \ \ \ \ \pi =3.14\\Hence,\\SA=(2)(3.14)(4)(4+9)\\SA=(25.12)(13)\\SA=326.56\ inches[/tex]
