CAN SOMEONE HELP ME WITH THESE PLEASE! I need the work shown!!
Pages 31 - 33 numbers 12 - 50 EVENS only
Answer:
12_(1.5,2)
13_(3,2)
14_8.5
15_6
16_-1.5
17_-4.5
18_2.5
19_3
28_(-7,-5)
38_1.8
40_1.5
42_1.6
Step-by-step explanation:
12_ midpoint formula x1+x2/2 , Y1+Y2/2
-7+4/2 , 2+2/2
-3/2 , 4/2
(1.5,2)
13_3+3/2, 9+(-5)
6/2, 4/2
(3,2)
14-19 just find the middle between the 2 numbers
for 20-27 just repeat what i did in question 12 and 13
28_ to get from 1 to -3 you have to -4 so to find the x of the other endpoint you have to -4 from -3 same goes for the Y coordinate to get from 7 to 1 you have to -6 to find the Y for the other endpoint you have to -6 again from one
same goes for questions 29-33 its easier to draw a number line and do it their
38_the distance between -4 and 5 which is 9 then you have to find 1/5 of 9 which is 1/5 x 9 = 1.8
40_the distance between -7 and 2 which is 9 then you have to find 1/6 of 9 which is 1/6 x 9 = 1.5
42_distance formula √(x1- x2)²+(Y1-Y2)²
√(2-(-5)²+(9-5)²
√7²+4²
√49+16
√65
=8.0
1/5 x 8.0 =1.6
The rest of the answers and solutions are in the pdf
7•(6+3) equivalent to
answer:
63
step-by-step explanation:
1. (6+3)=9
parentheses always comes first
2. 7 x 9 = 63
M angle 1 = 2x - 8 M angle 3 = 116
The measure of the value of x from the figure is 62
What are vertical anglesVertical angles are angles that are equal and meet at a point of intersection X. Given the following measure of angles;
<M1 =. 2x - 8
<M3 = 116 degrees
Since the measure of both angles are the same hence;
2x - 8 = 116
Add 8 to both sides
2x - 8 + 8 = 116 + 8
2x = 116 + 8
2x = 124
Divide both sides by 2
2x/2 = 124/2
x = 124/2
x = 62
Hence the measure of the value of x from the figure is 62
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Jabria added water to a tank by opening a value to produce a constant stream of water after 7 minutes the tank contained 3,482 gallons of water she waited 12 more minutes and observed that the tanks contained 7,298 gallons of water how much water was in the tank when Jabria began adding water?
Using a linear function, it is found that 1466 gallons of water were in the tank when jabria began adding water.
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
A linear function is modeled by: y = mx + b
where,
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we have given that in 12 minutes, the amount of water increased by 3456 gallons, hence the slope is given by :
m = 3456/12 = 288.
In 7 minutes, the tank contained 3,482 gallons of water, hence the initial amount was given by :
3482 - 7 x 288 = 1466
1466 gallons of water were in the tank when jabria began adding water.
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Experiment 3: Rainbow Trout
Suppose 75 tagged rainbow trout were released into the Lower Saluda River below the Lake Murray Dam.
Fishermen reported catching 10, 30, and 80 rainbow trout. Based on the number of tagged fish caught, find
the estimated population and enter the results below. Then find the percent error.
Answer:
Step-by-step explanation: if there is 75 trout and the caught 120 trout they would have counted the trout wrong
When an integer is subtracted from 2 times the next consecutive integer, the
difference is 5. Find the value of the lesser integer.
Answer:
The lesser integer is 3.
Step-by-step explanation:
Let the integer be x.
2(x+1) - x =5
or, 2x + 2 - x = 5
or , x = 5 - 2
so, x = 3
pls do the table in the picture
Step-by-step explanation:
(a-b)+ccase 1 a=0.5 , b=2 , c=-1
(0.5-2)-1 = -1.5 - 1
= -2
case 2 a=3 , b=-4 , c=-2
(3+4) -2 = 7 - 2
= 5
case 3 a=-8 , b=5 , c=3
(-8+5)+3 = -3+3
= 0
-(a-b)-ccase 1 a=0.5 , b=2 , c=-1
-(0.5-2)+1 = -(-1.5)+1
= +1.5 + 1
= 2.5
case 2 a=3 , b=-4 ,c=-2-(3+4)+2 = -(7) +2
= -5
case 3 a=-8 , b=5 , c=3
-(-8-5) -3 = -(-13) -3
= +13 -3
= 10
What is the range of the function y = |x+2 | −2 if the domain is a x € R?
The range of the function f(x) = | x + 2| - 2 for all x belongs to real is [-2,∞].
What are closed and open interval ?Closed interval includes the points and we denote it by third brackets and open interval do not include the points and denoted by first brackets.
According to the given question we have to determine the range of the function y = |x + 2| - 2 where domain of x ∈ R.
We know, |x + 2| ≥ = 0.
∴ | x + 2 | - 2 ≥ -2 and f(x) = | x + 2 | - 2 so, f (x) ≥ - 2, ∀ x ∈ R.
There fore the range of the function f(x) is [ -2, ∞ ].
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simplify:4100-{2345+1745{1050/10}]
please answer asap
[tex] \bf \implies{184980}[/tex]
Step-by-step explanation:[tex] \large\bf\Longrightarrow 4100 - {2345 + 1745[ \frac{1050}{10}}] [/tex]
[tex] \large\bf\Longrightarrow 4100 - {2345 + 1745 \times \frac{105 \cancel{0}}{1 \cancel{0}}}[/tex]
Cross out the common factor[tex] \large\bf\Longrightarrow 4100 - {2345 + 1745 \times 105}[/tex]
Calculate the product or quotient[tex] \large\bf\Longrightarrow 4100 - {2345 + 183225}[/tex]
Calculate the sum of difference[tex] \large\bf\Longrightarrow{1755 + 183225}[/tex]
Calculate the sum or difference[tex] \large \bf\Longrightarrow{184980}[/tex]
Solve the formula for the specified variable.
u = hg for h
h = ___
The value of h from the given formula u = hg is u/g.
i.e h = u/g
What is a variable?A variable is any characteristic, number, or quantity that can be measured or counted.
Example:
x + 2 = y + 2
x and y are variables.
We are given a formula:
u = hg
We need to solve for h.
u = hg
Divide both sides by g.
u/g = h
h = u/g
Thus the value of h from the given formula u = hg is u/g.
i.e h = u/g
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identify the hypothesis and conclusion of each conditional
For each conditional statement, the hypothesis and conclusion are given as follows:
5.
Hypothesis: You are an american citizen.Conclusion: You have the right to vote.6.
Hypothesis: Figure is a triangle.Conclusion: It has four sides.7.
Hypothesis: You want to be healthy.Conclusion: You should eat vegetables.What is a conditional statement?A conditional statement is written in this following format:
If Clause 1 then Clause 2.
In which:
The hypothesis is given by Clause 1.The conclusion is given by Clause 2.That is, the term coming after the if is the hypothesis, while the term coming after the then being the conclusion, hence the answers for items 5 to 7 are given at the end of the answer.
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solve for the indicated variable a/b = c for b
Answer:
b = [tex]\frac{a}{c}[/tex]
Step-by-step explanation:
[tex]\frac{a}{b}[/tex] = c ( multiply both sides by b )
a = bc ( isolate b by dividing both sides by c )
[tex]\frac{a}{c}[/tex] = b
Which equation is a linear function?
A) y=-3x2 - 5x+3
B) y=5.2x-3
C) -5y+ 3x = 7
D) y = -5√x + 11
Answer:
A.
Step-by-step explanation:
D: there is no square root
for both C and B there is no decimal.
A should end up being y=-8x+5 which is in y=mx+b form
Discuss the advantages and disadvantages of histograms versus stem-and-leaf plots.
Data of different sizes can be easily arranged with histograms, but not with stem-and-leaf diagrams. This is a drawback.
What are Stem-and-leaf charts?Stem-and-leaf charts often include the original data values while histograms do not. This is a crucial advantage the former has over the latter.
The primary benefit of stem-and-leaf charts over histograms is that they display the original data values.
In contrast to stem-and-leaf charts, which lack this capability, histograms make it straightforward to organize data of various sizes. This is a serious disadvantage.
In conclusion, a stem-and-leaf display, sometimes referred to as a stem-and-leaf plot, is a tool that shows quantitative data graphically to assist visualize the form of a distribution.
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A 3-pound bag of apples costs $3.94, and a 5-pound bag costs $5.92. Which bag has the lowest unit price per
pound, and by how much
The bag that has the lowest unit price per pound is the 5 pound bag.
How to find the unit price ?Unit price is the value of a single unit of measure.
A 3-pound bag of apples costs $3.94, and a 5-pound bag costs $5.92.
Let's find the unit price per pounds of each products to know the lowest.
Therefore,
unit price per pound for the 3 pound bag = 3.94 / 3
unit price per pound for the 3 pound bag = 1.31333333333
unit price per pound for the 3 pound bag = $1.313 per pound
unit price per pound for the 5 pound bag = 5.92 / 5
unit price per pound for the 5 pound bag = 1.184
unit price per pound for the 5 pound bag = $1.184 per pound
Therefore, the apple bag of 5 pound has the lowest unit price.
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For every three girls taking classes at a
martial arts school, there are 4 boys
who are
taking classes. If there are 236 boys
taking
classes, predict the
number of girls taking
classes at the school.
Answer:
We would predict 177 girls
Step-by-step explanation:
We can set up a proportion
[tex]\frac{Girls}{Boys}[/tex] = [tex]\frac{Girls}{Boys}[/tex] Put in the number that I know and solve for the number that I do not know.
[tex]\frac{3}{4}[/tex] = [tex]\frac{g}{236}[/tex] I can cross multiply to solve for x
4g = 3(236)
4g = 708 Divide both sides by 4
g = 177
What is the equation for the graph shown?
The equation of the line shown in the reference graph, attached hereby, that passes through the points (-6, 0) and (0, 4) is [3y = (2x + 12)].
As per the question statement, we are provided with a straight line, drawn on the cartesian quadrants that pass through two points, (-6, 0) and (0, 4).
We are required to determine the equation of the line.
To solve this question, we need to know the formula to determine the linear equation of a line passing through two points, (x₁, y₁) and (x₂, y₂), which goes as [tex][(y-y_{1})=(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}) (x-x_{1})][/tex].
Here, let us consider, (-6, 0) to be (x₁, y₁), and (0, 4) to be (x₂, y₂). Therefore, using these values in the above mentioned equation, we get
[tex](y-0)=[\frac{4-0}{0-(-6)}][x-(-6)]\\ or, y=(\frac{4}{6})(x+6)\\ or, y=(\frac{2}{3})(x+6)\\or, 3y=2x+12[/tex]
Equation: An equation is a mathematical statement having two separate expressions, connected by an equal signLine: A line is an one-dimensional figure, having infinite length but no width.To learn more about Equations of Lines, click on the link below.
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Solve each equation. Round to the nearest ten-thousandth. log 3 x=1
The solution for the given equation (log 3 x=1) is and the nearest ten-thousandth = 3.3333333.
How do you work out logarithms?Begin by identifying the base, which is "b" within equation, the exponent, which would be "y," and the exponential expression, which is "x." Then, shift the exponential expression with one side of the equation and apply the exponential to the base by multiplying it by itself a number of times.
Solving for the equation:Given log 3 x=1
this can be written as log₁₀(3x) = 1
so,
log₁₀(3x) = 1
Applying the log rule we get:
3x = 10
x = 10 /3
x = 3.3333333
The solution for the given equation (log 3 x=1) is and the nearest ten-thousandth = 3.3333333.
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Evaluate -3|15-8|.
-7
-21
18
Answer:
18=49
Step-by-step explanation:
Simplify each expression. (8x⁹y³ / 27x² y¹²)²/₃
The answer is [tex]=\frac{4x^{14/3} }{9}[/tex]
The phrase simplifies manner to make something simpler to do or recognize. So, by decreasing or simplifying the fractions method we make the fraction as simple as feasible. We do this by dividing the numerator and the denominator with the aid of the most important range that could divide into both numbers precisely.
The only form is likewise known as the decreased form of a fraction. for instance, ¾ is the most effective shape of a fraction that has a not unusual thing equal to 1. but 2/4 is not the most effective form, because 2/four can in addition be simplified and written as ½.
Step one is to perceive a common issue between the denominator and numerator. The denominator and numerator are each divided by the commonplace thing. The department operation is repeated until there are not any extra elements. The fraction is said to be simplified if no greater factors go out.
Apply exponent rule [tex](\frac{a}{b} )^{c} =\frac{a^{c} }{b^{c} }[/tex]
[tex](8x9^{2} y^{12} )^{2/3} : 4x^{6}y^{8}[/tex]
[tex](27x^{2} y^{12}) ^{2/3} : 9x^{4/3} y^{8}[/tex]
[tex]\frac{4x^{6} y^{8} }{9x^{4/3} y^{8} }[/tex]
apply exponent rule : [tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]
[tex]\frac{4y^{8} x^{-4//+6} }{9 y^{8} }[/tex]
subtract the number: [tex]6-\frac{4}{3} = \frac{14}{3}[/tex]
[tex]\frac{4y^{8} x^{14/3} }{9y^{8} }[/tex]
cancel the common factor : [tex]y^{8}[/tex]
= [tex]\frac{4x^{14/3} }{9}[/tex]
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What is 2,382,475 in word form
y
51
4
3
2
1
-5 -4 -3 -2 -1 0
B
O N ရာ
-2
-3
-4
-5
ZA
A
2 3 4
4 5
X
Complete the vector to fully describe
the single transformation which
takes shape A to shape B.
Translate shape A by the vector
I
The single transformation which takes shape A to shape B is given by the vector [tex](^{-5}_{-5})[/tex]
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
The single transformation which takes shape A to shape B is given by the vector [tex](^{-5}_{-5})[/tex]
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Let f(x)=x-2 and g(x)=x²-3 x+2 . Perform each function operation and then find the domain. g(x) / f(x)
The division of f (x) and g (x) is x - 1 and the domain is [ 1 , ∞ ].
Given,
f (x) = x - 2
g (x) = x ² - 3 x + 2
The question states to find the division of the function f, that is, f (x) = x - 2, and function g, that is, g (x) = x ² - 3 x + 2
Performing the division operation on these functions is just like simple division.
This implies, dividing the two functions f (x) and g (x), we get
g (x) / f (x) = x² - 3x + 2 / x - 2
x - 1
___________
x - 2 | x² - 3x + 2
x² - 2x
____________
-x + 2
-x + 2
____________
0
=> g (x) / f (x) = x - 1
This implies that the division of the two functions f (x) and g (x) gives x - 1
To find the domain :
y = x - 1
=> x ≥ 1
=> Domain = [ 1 , ∞ ]
Therefore, we get the division of f (x) and g (x) as x - 1 and the domain as [ 1 , ∞ ].
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Read the introduction below and determine which element is missing.
What's black, white, and famous for sitting atop firetrucks for centuries? Since the 1800s, this spotted breed has been famous for its courage and bravery. Firefighters began using this persistent pooch, the dalmatian, because of its ability to get along with horses that pulled fire carriages before trucks existed.
General information
Hook
Thesis
Topic
Based on the introduction given, the element that is missing from excerpt is the Topic.
What element is missing?The element that is missing in this introduction to the use of Dalmatians by Firefighters is a topic. The topic is the element that would give clues about what the text is about.
The hook is the statement that grabs the reader which in this case is, "What's black, white, and famous for sitting atop firetrucks for centuries?" and there was general information provided on the Dalmatian use by firefighters.
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Answer: Thesis (C)
Step-by-step explanation: Due to the other answer being wrong, topic is out, it has general info, thats out, it has a hook, thats out, meaning the answer must be "Thesis".
-2x-7>5x+14 solve the inequality
Answer:
-7>x
Step-by-step explanation:
-2x-7>5x+14
-7>3x+14
-21>3x
-7>x
Find two functions f and g such that f(g(x))=x for all real numbers x .
The functions are f(x) = 5x-1 and g(x) = [tex]\frac{x+1}{5}[/tex].
We have to find two functions such that their composition gives the identity function.
That is, we need to find functions f and g such that f(g(x)) = x.
Also f(g(x)) = (f o g)(x)
A function g is said to be the inverse of a function f if, (f o g)(x) = f(g(x)) = x, for all real numbers x.
So in short if we take f(x) any function then we should find its inverse function.
Let f(x) = 5x - 1.
Then take y = 5x - 1.
⇒ x = [tex]\frac{y+1}{5}[/tex]
That is if we take g(x) = [tex]\frac{x+1}{5}[/tex], then,
f(g(x)) = f([tex]\frac{x+1}{5}[/tex]) = 5([tex]\frac{x+1}{5}[/tex]) - 1 = x
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In a science class the average score on a lab report is 87 points with all the students scoring within 1.8 points on average if X represents a student score Write an equation that represents the minimum and maximum scores
The equations which represents the minimum and maximum scores of the students is x = 87 ± 1.8.
Mean is defined as the average equal to the ratio of the total number of values in a particular set of values to the total number of values in the set. The average of a set of approximately equal values is calculated. The term average describes a number that represents a large amount of data.It is given that average score on a lab report is 87 points with all the students scoring within 1.8 points
According to the question if x represents a student score then , it is given by [tex]x=87\pm1.8[/tex]
The equation which represent maximum score is given by
[tex]x=87+1.8\\x=88.8[/tex]
The equation which represent minimum score is given by
[tex]x=87-1.8\\x=85.2[/tex]
Hence, maximum and minimum scores are 88.8 and 85.2 respectively.
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What are the domain and points of discontinuity of the rational function? Are the points of discontinuity removable or non-removable? What are the x - and y -intercepts of the rational function?
b. y=x²-1/x²+3}
The domain of given points are :
IR x ≠ ± [tex]\sqrt{-3}[/tex]
Points of discontinuity - x = ± [tex]\sqrt{-3}[/tex] ( non removable / asymptote )
x - intercept = ± 1 , y - intercept = -1/3
What is rational functions ?Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).
CALCULATIONy=x²-1/x²+3
y=(x+1)(x-1)/[tex]x^{2}[/tex]+3
The domain of given points are :
IR x ≠ ± [tex]\sqrt{-3}[/tex]
Points of discontinuity - x = ± [tex]\sqrt{-3}[/tex] ( non removable / asymptote)
x-intercept :
0 = (x + 1)(x-1)
x = ± 1
y - intercept :
(0+1)(0-1) / (0+3) = -1/3
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ASAPPP!!
PLS SOMEONE HELP ME WITH THIS
Answer:
Remove 1 stripyRemove 3 stripyAdd 2 plainsAdd 5 plainsHope this helps!
Please help!! Thanks!