Answer:
z = -0.5317073
Step-by-step explanation:
Get variable on left and all constants on right
-4.1z = 10.5 - 8.32
-4.1z = 2.18
Divide both sides by -4.1
z = -0.5317073
To check:
8.32 = 4.1(-0.5317073) + 10.5
Find the distance between A(4,6) and B (9,7) . Write your answer as a radical and as a decimal rounded to the nearest tenth.
The distance between A(4,6) and B (9,7) is√26 or 5.1.
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Given the points A(4,6) and B (9,7)
Now,
x₁ = 4 ,x₂ = 9
y₁ = 6 , y₂ = 7
So,
Distance between them,
[tex]d = \sqrt {\left( {4 - 9 } \right)^2 + \left( {6 - 7 } \right)^2 }[/tex]
d = √26
d = 5.099 and by rounding to the nearest tenth.
5.099 → 5.1
Hence "The distance between A(4,6) and B (9,7) is√26 or 5.1".
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What set of transformations will map the graph of f(x)=x^ 3 onto g(x)=0.5(x-2)^3-2
Answer:
I got 6
Step-by-step explanation:
Hope this is correct :)
b + 12a; use a = 4, and b = 2
Answer:
50
Step-by-step explanation:
All my work shown in the screenshot provided. If you have any questions please let me know! Have a wonderful day!
Answer:
b + 12a; use a = 4, and b = 2
=2+12*4
=2+48
=50
Compare the two numbers. Use > or < .
√5, √7
Square root is a factor that, when multiplied by itself, equals the original value.
The values of √5 = 2.236 and √7 = 2.645 then √5 < √7.
What is a square root?In mathematics, a square root is a factor that, when multiplied by itself, equals the original value. Any time the idea of an object's square is mentioned, square roots can be considered more widely. These include square matrices and function spaces, among other mathematical structures.Even though it is only one of the two square roots of a positive number, the term "square root" is occasionally used to describe the major square root of a positive number.Let the values of √5 = 2.236 and √7 = 2.645
then √5 < √7.
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Explain how to solve [tex]3^x^-^4=6[/tex] using the change of base formula log base b of y equals log y over log b Include the solution for x in your answer. Round your answer to the nearest thousandth.
The solution of x in the equation 3^(x -4) = 6 is x = 5.63
How to determine the solution of the equation?The equation is given as
3^(x -4) = 6
Apply the law of indices on the expression 3^(x -4) to rewrite it
So, we have
3^x/3^4 = 6
The above equation becomes
3^x = 6 * 3^4
Evaluate the product
So, we have
3^x = 486
Take the logarithm of bot sides
xlog(3) = log(486)
Divide both sides by log(3)
x = log(486)/log(3)
Evaluate
x = 5.63
Hence, the solution of x in the equation 3^(x -4) = 6 is x = 5.63
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please help i need you!
Answer:
38.46
Step-by-step explanation:
using the formula A=πr^2, which is the formula of the area of a circle, you get 38.46, when rounded, ehich the diameter is 2 times the radius, we divide 7 by 2z leaving us with r=3.5, so 38.46=3.14(3.5)^2.
2 beliefs about gods nature
Answer: What are two beliefs about the nature of God?
The Psalms say, God is fair and just (Psalm 25:8). Omniscience - God knows everything. Christians believe that God knows every person's inner thoughts as well as knowing all that has happened and all that will happen in the future. Transcendence - God exists outside of our worldly constraints and physical laws.
Step-by-step explanation: hope this helps!!!
Answer:
He is good.
He is forgiving.
He is love.
He is our Shepperd.
He is our judge.
He is our Father.
He Is King.
convert standard form to vertex and explain
H(T)=160+92t-16t^2
Suppose an MP3 player cost 499 in 2003 and 249.99 in 2009 .
c. If the trend continues, what will be the cost of an MP3 player in 2013 ?
The cost of the MP3 player in the year 2013 will be $83.99
If the trend continues, that means the drop in price at the same rate each year
In 2003 it was $499
In 2009 it was $249.99
Price drop each year (from 2003 to 2009) :
= 499 - 249.99 / 2009 - 2003
= 249.01 / 6
Therefore, the price drop each year = $41.50
Similarly, Price drop each year (from 2009 to 2013) :
(2013 - 2009) x 41.5 = $166
Thus, 249.99 - 166 = 83.99
Therefore, cost of the MP3 player in the year 2013 will be $83.99
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What is the value of 6÷3 X 2/3
Answer:
that would be 4/3 or 1 1/3
Step-by-step explanation:
Hey there!
6 ÷ 3 * 2/3
= 6/3 * 2/3
= 2 * 2/3
= 2/1 * 2/3
= 2 * 2 / 1 * 3
= 4/3
= 1 1/3
Therefore, your answer should be:
4/3 or 1 1/3 (they are both equivalent to each other so any should work)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
help please i’ll give 10 points
Answer:
The opposite of -3/5 is 3/5 because the opposite of negative is a positive. The absolute value of -3/5 is 3/5 because the absolute value of any number is always positive.
a.) 3/5
b.) 3/5
Hope that Helps! :D
There were 323232 volunteers to donate blood. Unfortunately, nnn of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470470470 milliliters each.
How many milliliters of blood did the volunteers donate?
Write your answer as an expression.
The milliliters of blood the volunteers donate is 470 * (32 - n)
How many milliliters of blood did the volunteers donate?The given parameters are
Total = 32
Unqualified = n
The number of qualified volunteers would be
Qualified = 32 - n
A volunteer donates 470 ml
So, we have
Total = 470 * (32 - n)
Hence, the milliliters of blood the volunteers donate is 470 * (32 - n)
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what does SSS stand for ? what does it have to do with similar triangles?
Answer:
Side, Side, Side. The short cut is SSS
Use a protractor and ruler to accurately construct a regular pentagon with side length 4cm.
ASAP Please
Step-by-step explanation:
calculate the interior angle of the pentagon then do the rest
The graph of the linear function k passes through points (-3,0) and (1.8) what statement is true
Answer: Option A
Step-by-step explanation:
(-3,0) is an x intercept because y is equal 0
1. x intercept of the graph of k is -3
Step-by-step explanation:
2. zeros can be found by setting the function to zero
function is y = 2x + 6
y = 2x + 6 -> 0 = 2x + 6
x would need to be -3 to get the zero of k
3. its not the third option : the slope is 2
4. if you graph it, it doesnt pass thru -1,-8
Are the lines perpendicular?
no, because the slopes of the lines are equal
no, because the slopes of the lines are not opposite reciprocals
yes, because the slopes of the lines are equal
yes, because the slopes of the lines are opposite reciprocals
The lines are not perpendicular because: B. the slopes of the lines are not opposite reciprocals
What are Slopes of Perpendicular Lines?If two line are perpendicular to each other, they will have slope values that are the opposite reciprocals of each other.
Slope of the red line = change in y / change in x = (-9 - 11)/(0 -(-8))
Slope of the red line = -20/8 = -5/2
Slope of the blue line = (8 - 2)/(8 -(-8))
Slope of the blue line = 6/16 = 3/8
3/8 is not the opposite reciprocal of -5/2. Therefore, the lines are not perpendicular because: B. the slopes of the lines are not opposite reciprocals
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Which expression is equivalent to 6x+8?
a 2(3x-4)
b 2(3x+4)
c 2(4x+6)
d 2(3x+8
Answer:
b) 2(3x+4)
Step-by-step explanation:
Distributive formula: a(b + c) = ab + ac
Solving steps:
a) 2(3x-4) = 2(3x) + 2(-4) = 6x - 8
b) 2(3x+4) = 2(3x) + 2(4) = 6x + 8
c) 2(4x+6) = 2(4x) + 2(6) = 8x + 12
d) 2(3x+8) = 2(3x) + 2(8) = 6x + 16
Among from all the options, option B is equivalent to 6x + 8.
What is the prime factorization of 100 I really need help this do tommorrow
The midpoint of AB is M (5, 1). If the coordinates of A are (3, 6), what are the
coordinates of B?
Point B's coordinates are (7, -4).
What are the coordinates of the line segment AB's midpoint?As the name implies, a midpoint is a point in the middle of something. A line segment's midpoint is a point that is located in the middle of the given line segment.Assume we have two line segment endpoints:
B and A(p,q) (m,n)Then, on that line segment, let M(x,y) be the midpoint.The coordinates are as follows:
x = (p+m)/2 and y = (q+n)/2So, M is AB's midpoint, and its coordinates are as follows:
Point B's x-coordinate:
[tex]x_m=\frac{\left(x_A+x_B\right)}{2}[/tex][tex]5=\frac{\left(3+x_B\right)}{2}[/tex]10 = 3 + xx = 10 - 3x = 7Point B's y-coordinate:
[tex]y_m=\frac{\left(y_A+y_B\right)}{2}[/tex] [tex]1=\frac{\left(6+y_B\right)}{2}[/tex]2 = 6 + yy = 2 - 6y = -4Therefore, point B's coordinates are (7, -4).
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Answers? 100 point btw
Answer:
1. Top left and top right. Middle right
2. 43/24
3. B(42.5%)
4. A(3.25)
Step-by-step explanation:
2. Get the denominators the same(denominator in this case would be 24), and then make an improper fraction.
3. Convert the fraction 17/40 to a percentage(42.5%)
4. 6 hours x 60 minutes= 360 minutes
1170/360 = 3.25 laps per minute
Hope this helps! <3
7x - y = 100
Slope:
Y int:
Answer:
slope: 7
Y-int: -100
Step-by-step explanation:
Basically just solve for y
You scored 88.92+87 on three tests. What score do you need on the fourth test to average 90
The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.
What is the score required on the fourth test such that an average of 90 is earned in all four tests as required in the task content?According to the task content, it follows that the score needed so that an average score of 90 is earned on all four tests is to be determined.
Since, The average is the ratio of the sum of all scores to the number of scores; we have;
90 = (88 + 92 + 87 + x)/4
Multiply both sides by 4 so that we have;
360 = 88 + 92 +87 + x
Isolate x on one side of the equation;
x = 360 -88 -92 - 87
x = 93.
Ultimately, The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.
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Determine the values of y in the equation y2 = 121.
due in 1 hour please help
Answer:
y = 60.5 or 11
Step-by-step explanation:
If this is intended to be 2y = 121 (2 times y), that would mean the answer would be 60.5.
This is because you’d divide both sides by 2, resulting in y = 60.5.
However, should this be intended as [tex]y^{2}[/tex]= 121, the answer would be 11.
What we do to find the pure equivalent of y is square root both sides as y is squared.
[tex]\sqrt{y^{2} } = \sqrt{121}[/tex]
We come to find that the square root of 121 is 11
[tex]y = 11[/tex]
What is the equation of the line that passes through the point (8,2) and has a slope of -3/4 ?
The equation of the line is y = -3/4x + 5
How to determine the equationThe equation of a line is expressed as;
y = mx + c
Where;
m is the slope of the linec is the intercept on the y axisy is the point at the y -axisx is the point at the x - axisTo determine the intercept, we have;
2= -3/ 4(8) + c
2 = -24/8 + c
2 = -3 + c
Make 'c' the subject of formula
c = 2 + 3
c = 5
The equation of the line is y = -3/4x + 5
Thus, the equation of the line is y = -3/4x + 5
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Write two rational expressions that simplify to x+1 / x-5
Two rational expressions that simplify to (x+1) / (x-5) are equals to
(x+1)²/ (x+1) (x-5) and (x+1)(x-5) / (x-5)².
As given in the question,
Simply rational expression is given by (x+1) /(x-5)
Two rational expressions that simplify to given expression are as follow:
Multiply (x+1) to the numerator and denominator of the given rational expression(x+1)²/ (x+1) (x-5).
2. Multiply (x-5) to the numerator and denominator of the given rational
expression
(x+1)(x-5)/ (x-5)².
Therefore, two rational expressions that simplify to (x+1) / (x-5) are equals to (x+1)²/ (x+1) (x-5) and (x+1)(x-5) / (x-5)².
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hlpppppp!!!!!!!!!!!!!!!!!!!!!!!!
w steps pls
Answer: S=6x²+25x+14
Step-by-step explanation:
[tex]\displaystyle\\S=S_1+2S_2\\S_1=(2x+7)(x+3)\\S_1=(2x)(x)+(7)(x)+(2x)(3)+(7)(3)\\S_1=2x^2+7x+6x+21\\S_1=2x^2+13x+21\\\\S_2=\frac{(\frac{2x+7)}{2})(4x-2) }{2} \\\\S_2=\frac{(2x+7)(4x-2)}{(2)(2)} \\\\S_2=\frac{(2x)(4x)+(7)(4x)+(2x)(-2)+(7)(-2)}{(2)(2)} \\\\S_2=\frac{8x^2+28x-4x-14}{(2)(2)} \\\\S_2=\frac{8x^2+24x-14}{(2)(2)} \\\\S_2=\frac{(2)(4x^2+12x-7)}{(2)(2)} \\\\S_2=\frac{4x^2+12x-7}{2} \\Hence,\\S=2x^2+13x+21+2*\frac{4x^2+12x-7}{2} \\S=2x^2+13x+21+4x^2+12x-7\\S=6x^2+25x+14[/tex]
Evaluate 51x³-21 + 7 when x = -2
Answer: Substitute the value of the variable into the equation and simplify.
−
408
v
a
2
l
u
t
e
2
−
14
Step-by-step explanation:
Compare and contrast glide reflections and compositions of transformations.
Compare and contrast the process of graphing a radical function using transformations with graphing a quadratic function using transformations.
What distinguishes glide reflection from reflection?
An interchange of points from one side of a line with points on the other side of the mirror at the same distance from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every reflection. A glide reflection is a mirror reflection that is followed by a parallel translation to the mirror.What do the three reflections that make up the glide reflection look like?
Glide reflections and triple line reflections. The combination of the three line reflections Rw Rv Ru constitutes a line reflection if u, v, and w are concurrent or parallel. We'll now show this theorem to be true. If u, v, and w are not parallel or contemporaneous, the arrangement of the three line reflections Rw Rv Ru is a glide reflection.Learn more about glide reflection
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If two coplanar lines are cut by _________ so that a pair of alternate interior angles are _,_____ then the two lines are parallel.
If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.
The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.
In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.
In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.
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please help i really don’t understand ( ignore the math on top )
Answer: x=2 DS=10 SE=10 DE=20
Step-by-step explanation:
[tex]7x-4=16-3x\\7x-4+3x=16-3x+3x\\10x-6=16\\10x-4+4=16+4\\10x=20\\[/tex]
Divide the equation by 10:
[tex]x=2[/tex]
Hence,
[tex]DS=(7)(2)-4\\DS=14-4\\DS=SE=10\\DE=DS+SE\\DE=10+10\\DE=20[/tex]
