The opposite for each number is: ( -8, 8), (-1,1), (-17,17), (31,-31) and (11,-11).
Number Classification Whole Numbers - They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included. Integer Numbers - They are the whole numbers. They are represented by zero, positive and negative numbers. Opposite numbers - They are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).Thus, you can conclude that the opposite number of a positive number is a negative number. And the opposite number of a negative number is a positive number.
The question gives the follow numbers
1. -8 8
2. -1 -11
3. -17 17
4. 31 -31
5. 11 1
The opposite for:
-8 is the number 8-1 is the number 1-17 is the number 1731 is the number -3111 is the number -11Read more about number classifications here:
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a lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. the target accuracy has an average of 2.78 or less with a standard deviation of 1.17. if the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.45, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy?
The proper test statistic has a value of 13.21.
As a result, repeated measurements of cholesterol levels from the same blood sample are taken to assess a lab technician's consistency.
The desired accuracy is a measurement variance of 2.78 or less. In the event that the lab technician conducts 16 measurements, and the sample's measurement variance is 2.45.
1) n=16 samples were used.
The desired accuracy is a measurement variance of 2.78 or less.
The sample's measurements' variance is 2.45 or less.
We list both the null and alternative hypotheses in response to the query.
Null hypothesis [tex]H_{0}[/tex] = [tex]var^{2} \geq[/tex] 2.78
Alternative hypothesis [tex]H_{a}[/tex] = [tex]var^{2} <[/tex] 2.78
We claim the alternative hypothesis.
2)Calculate the appropriate test statistic's value.
Using Chi-square,
X= ((n-1)(2.45)/(2.78)
X= 15(2.45)/(2.78)
X=36.75/2.78
X= 13.21
Therefore, The value of the appropriate test statistic is 13.21
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a 13-ft ladder rests against a vertical wall. if the bottom of the ladder slides away at 1 ft/s, at what rate is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall? g
The given situation can be solved using the differential equation and the top of the ladder slides downward at 0.417 ft/s.
Let:
x be the distance from the bottom of the ladder to the base of the wall
y be the distance from the top of the ladder to the bottom of the wall
When the ladder is still, apply the Pythagorean Theorem,
x² + y² = 13²
5² + y² = 13²
y² = 169 - 25 = 144
y = 12 ft
When the ladder slides, apply the differential equation:
x² + y² = 13²
2x . dx/dt + 2y . dy/dt = 0
Substitute x = 5, dx/dt = 1, y = 12
2 . 5 . 1 + 2 . 12 . dy/dt = 0
24 dy/dt = -10
dy/dt = -5/12 = - 0.417 ft/s
The minus sign indicates that the ladder is sliding downward.
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What is one solution of this system?
Answer:
C (0,3)
Step-by-step explanation:
Plot the two equations and the points. See the attached graph. The blue area reflects the inequality of y+3x<=8: many points satisfy this equation and they are all blue.
The red line is equation y-3=x. There is only one point on this line that is also in the blue area: (0.3). The other three points (A, B, and D) do not satisfy either equation. The metric term for them is losers.
please explain how you got it
Answer:
30y^5 x^8
Step-by-step explanation:
3x^8 * 5y^4 * 2y
Add 4 and 1 and you'll get 5 so it'll be:
3x^8 * 5y^5 * 2
Which it'll look like
15x^8 y^5 *2=
30x^8 y^5
8y+9>1 need help soon
Answer:
y > -1
Step-by-step explanation:
8y+9 > 1
-9 -9
8y > -8
/8 /8
y > -1
Which of the following best describes the slope of the line below?
Answer:
D. Negative
Step-by-step explanation:
Always read the graph from left to right
The graph is going down thus it is negative
Answer: Negative.
Step-by-step explanation: The graph of the line falls from left to right which makes it negative.
Help please. Was absent due to medical issues and trying to catch myself up and learn it now.
We paint with:
• red the regions where the function is decreasing,
,• green the regions where the function is increasing.
From the graph, we see that the function is:
• decreasing in the intervals (-∞, -1.5) and (2, ∞),
,• increasing in the interval (-1.5, 2).
Answer
• Increasing on the interval(s): ,(-∞, -1.5), (2, ∞)
,• Decreasing on the interval(s): ,(-1.5, 2)
how to find a line that is parrallel to y=4 and passes through (-3,1)
The equation of the line is given as y = 1
What is the equation of a line?In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.
Using point-slope formula y - y₁ = m(x- x₁)
The points passing through the line is (-3, 1)
We can substitute the values into the equation;
y - 1 = 0(x - (-3)
y = 0 + 1
y = 1
The equation of the line passing parallel to the equation is y = 1
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The perimeter of a square can be found using p=n+n+n+n
Answer: Well, yes. It's more like p = s + s + s + s. "S" = side. "P" = perimeter.
So, this is theoretically true if your variable for a side just happened to be "n".
You also put, "The perimeter of a square", A simpler way to put this is
P = s4 or in your case P = n4.
Because this shape is a square all side lengths and angles will be congruent, and therefore will all be the same (which is why we are able to multiply one side by four.)
Hope this helps. :)
Mid point of -2,11 and 18,-1
The midpoint of (-2, 11) and (18, -1) is:
[tex]\begin{gathered} \bar{x}=\frac{-2+18}{2}\rightarrow\bar{x}=8 \\ \\ \bar{y}=\frac{11-1}{2}\rightarrow\bar{y}=5 \end{gathered}[/tex]Point (8,5)
rder these numbers from least to greatest.
19
28'
ote that for this question you can use your mouse
4.79, 4-
4.8, -√25
The most appropriate choice for ascending order will be given by-
[tex]-\sqrt{25}[/tex], 4.79, [tex]4\frac{19}{28}[/tex], [tex]4.\bar{8}[/tex] is in ascending order
What is ascending order?
Suppose there is a series of numbers. The numbers will be in ascending order if the numbers are arranged from their least value to their greatest value.
The sorting of numbers in ascending order plays a very important role in statistics for calculation of median, quartiles, decile and percentile.
Here,
4.79 = 4.79
[tex]4\frac{19}{28} = 4 + \frac{19}{28} = 4.68\\[/tex]
[tex]4,\bar{8} = 4.8888..... = 4.89[/tex]
[tex]-\sqrt{25} = -5[/tex]
-5< 4.68< 4.79< 4.89 is in ascending order
So, [tex]-\sqrt{25}[/tex]< [tex]4\frac{19}{28}[/tex]< 4.79, [tex]4.\bar{8}[/tex] is in ascending order.
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Question is in the image. I need help with #19
EXPLANATION
Replacing the given functions into the following:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]\frac{x^2-1+h-(x^2-1)}{h}[/tex]Removing the parentheses and simplifying:
[tex]\frac{x^2-1+h-x^2+1}{h}[/tex]Simplifying like terms:
[tex]\frac{h}{h}=1[/tex]Hence,
[tex]\frac{f(x+h)-f(x)}{h}=1[/tex]Please help I answered all the questions that I could but this one I don’t understand! If someone couple please help that would be amazing!
Given the function:
Find the following values.
g(x)=-2-2.5x
a) g(4)
g(4) =
b) g(0)
g(0) =
c) g(-4)
g(-4)=
Wherever you see the letter [tex]x[/tex] in the equation, you write [tex]4[/tex], [tex]0[/tex] or [tex]-4[/tex] and perform arithmetic operations. Good luck!
The sum of an integer and 4 times the next consecutive odd integer is 23. Find the value of the greater integer.
The greatest integer in the system has a value of 5
How to calculate the value of the greater integer?From the question, the given parameters are:
The sum of an integer and 4 times the next consecutive odd integer is 23
Let the integer be x
So, we have the following representation
The sum of x and 4 times the (x + 2) is 23
This means that
Integer = xNext odd integer = x + 2So, we have
x + 4(x + 2) = 23
Open brackets
x + 4x + 8 = 23
Evaluate the like terms
5x = 15
Divide by 5
x = 3
So, we have
Next odd integer = 3 + 2
Evaluate
Next odd integer = 5
Hence, the value of the greatest integer is 5
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On the spinner show
We want to know what's the probability of spinning a number greater than two
There are 2 spinnings greater than two, of a total of 8. therefore, the probability I will be
[tex]\frac{\text{favorable cases}}{\text{all cases}}=\frac{2}{8}=\frac{1}{4}[/tex]The probability is 1/4
PLEASE HELP!! Thank you
Answer:16%
Step-by-step explanation: (New Number-Old Number)/Old Number*100
Meaning: [tex]\frac{290-250}{250} *100[/tex]
[tex].16*100[/tex]
16
Could be wrong but i j learned this
When an integer is subtracted from 8 times the next consecutive odd integer, the difference is -33. Find the value of the greater integer.
The two consecutive odd integers are -7 and -5, then the greater integer is -5.
How to find the value of the largest integer?Let's say that the smaller integer is x and the larger one is y.
Such that if both of these are odd and consecutive, then y = 2 + x.
We can now write:
8*y - x = -33
Replacing y by x + 2 we get:
8*(x + 2) - x = -33
8x + 16 - x = -33
7x = -33 - 16 = -49
x = -49/7 = -7
that is the smaller integer, then the next one is:
y = x + 2 = -7 + 2 = -5
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The required value of the greater integer among the two consecutive odd integers is - 5.
What is an integer?An integer is a real number that has no decimal part.
suppose we have specified a particular odd no. 'O' then the consecutive odd integers are those numbers that arrive after every two numbers.
Given, an integer is subtracted from 8 times the next consecutive odd integer, the difference is -33.
Assuming the first odd integer to be 'n'.
So, the next consecutive odd integers are (n + 2), (n + 4)...
∴ 8(n + 2) - n = - 33.
8n + 16 - n = - 33.
7n = - 33 - 16.
7n = - 49.
n = - 49/7.
n = - 7.
So, the two integers are -7 and (-7 + 2) = - 5.
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A $350,000 house is assessed at % of its value. If the yearly tax rate is $3.25 per hundred of assessed value, what is the yearly tax on this property?
F. $2,275
G. $1,600
H. $5,687
J. $6,405
K. $8,000
What is the value of logx?y3lodwhen given the following:Zlog(x) = 3log(y)=2log(z)= -1
Given the question
[tex]\log (\frac{x^2y^3}{z})[/tex]To resolve this, we can follow the steps below
Step1: Apply the logarithm rule
[tex]\log (\frac{x^2y^3}{z})=\log x^2+\log y^3-\log z[/tex]This will give=>
[tex]\log x^2+\log y^3-\log z=2\log x+3\log y-\log z[/tex]Since we have been given that
[tex]\begin{gathered} \log x=3 \\ \log y=2 \\ \log z=-1 \end{gathered}[/tex]Step2: Substitute the given values into the equation
[tex]2\log x+3\log y-\log z=2(3)+3(2)-(-1)[/tex]=>
[tex]6+6+1=13[/tex]Answer = 13
Simplify. 14(3x−7)+34x Responses 34x−1 3 over 4 end fraction x minus 1 334x−134 3 and 3 over 4 end fraction x minus 1 and 3 over 4 34x+212 3 over 4 end fraction x plus 2 and 1 half 112x−134
Answer: 1 1/2x−1 3/4
Step-by-step explanation: i took the test on k12
The simplified form of the given expression is option c 1 1/2x - 1 3/4
Given,
The expression; 1/4 (3x - 7) + 3/4x
We have to simplify this expression;
Simplification of expressions;
To simplify a phrase, create an equivalent expression without any terms that are identical. The expression will then be rewritten using the fewest terms feasible.
Then,
1/4 (3x - 7) + 3/4x
= 1/4 × 3x - 1/4 × 7 + 3/4x
= 3/4x - 7/4x + 3/4x
= 6x/4 - 7/4
= 3x/2 - 7/4
= 1 1/2x - 1 3/4
Therefore,
The simplified form of the given expression is option c 1 1/2x - 1 3/4
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Point (2,11.9),(4,10.5)
(2,8) , (4,7.5)
(2,6) , (4,1.5)
(2,0.5) , (4.-1)
(2,-1) , (4,-1)
(-2.8,-5.0) , (-3.6,-5.9)
rise over run so what's the answer
Answer: The slope is -0.7, the rise is -1.4, and the run is 2
What is the linear equation for the line graphed below?
Answer:
y = -3x + 7
Step-by-step explanation:
Hello!
Slope-Intercept Form: y = mx + b
m = slopeb = y-interceptThe y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.
We can find the slope by finding the Rise/Run.
The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.
Given the slope and y-intercept, the equation of the line is y = -3x + 7.
The cone of the volcano has a height of 414 meters and a diameter of 416 meters. Find the volume of the cone. Round your answer to the nearest hundred thousand. Use 3.14 for 1. The volume of the cone is about m3.
Volume of a cone is given by;
[tex]V=\frac{1}{3}\pi^{}r^3h[/tex]From the queston,
h = 414
diameter = 416, this implies r = d/2 = 416/2 = 208
π = 3.14
substitute the values into the formula
[tex]V=\frac{1}{3}\times3.14\text{ }\times208^2\times414[/tex][tex]=18747156.48[/tex][tex]\approx18700000m^3[/tex]70 points plss help composite functions
Answer:
[tex](f \circ g)(2)=2[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-2x+8\\g(x)=\sqrt{x+7}\end{cases}[/tex]
The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).
Therefore (f o g)(2) means to substitute the result of g(2) in place of the x in the function f(x).
[tex]\begin{aligned}\implies (f \circ g)(2) &=f[g(2)]\\&=f(\sqrt{2+7})\\&=f(\sqrt{9}) \\& = f(3)\\& = -2(3)+8\\&=-6+8\\&=2\end{aligned}[/tex]
Sailman A gets paid $300 a month plus $8 for every sale he makes. Salesman B gets paid $1500 a mont. Write and equation and solve to see how many salesman a must make in order to make the same amount of salesman b
the number of sales by b must be 150 to make the same amount of salesman B.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
given that :
Salesman A gets paid $300 a month plus $8 for every sale he makes :
let the no. of sales A made be : x
then, in order to make the same amount of salesman b we equate btoth the amount :
300 + 8x = 1500
8x = 1500-300
8x = 1200
x = 1200/8
x = 150
Therefore, the number of sales by A must be 150 to make the same amount of salesman b.
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13. On a certain day, 120 people
were at the cinemas. 7/10 of
them were French, 15 of them
were Chinese and the rest were
Japanese. How many of them
were Japanese?
Answer:
21
Step-by-step explanation:
120*7/10= 84 french
15 are chinese
84+15=99
120-99=21
Answer:
21
Step-by-step explanation:
Find the approximate perimeter of the isosceles triangleAOPD. Round your answer to the whole number.
The perimeter of the given triangle is the sum of the following segments:
Perimeter = PD + DO + OP
based on the given graph, you have that the coordinates of the points PDO are:
P: (1,-6)
D: (4,3)
O: (7,-6)
use the following formula for the distance in between two points:
d = √((x2 - x1)²+(y2 -y1)²)
where (x1,y1) and (x2,y2) are two points on the cordinate system.
For segement PD you have:
PD = √((1-4)²+(-6-3)²) = √(100) = 10
For segemtn DO:
DO = √((4-7)²+(-6-3)²) = √(100) = 10
For segment OP:
OP = √((1-7)²+(-6+6)²) = √36 = 6
then, the perimeter of the triangle is:
perimeter = 10 + 10 + 6 = 26
Question 3 of 6
An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function
that represents the total amount he charges for designing a certain number of rooms. What is the
value of the function for an input of 6, and what does it represent?
Of(x) = 100 + 55x
$430, which is the total charge in dollars for designing 6 rooms
Of(x)= 100x + 55
$655, which is the total charge in dollars if the interior designer visits à site
Of(x)=100+ 55+%
$161, which is the total charge in dollars if the interior designer visits a site
f(x) = (100 + 55)x
$930, which is the total charge in dollars for designing 6 rooms
The function that can be used to represent the total amount that will be paid for the room is 100 + 55h.
What is a function?A function simply means the expression that. an be used to show the relationship between the variables or the data given.
In this case, the interior designer charges $100 to visit a site, plus $55 to design each room.
Let the number of rooms be represented as r.
The function that represents the total amount will be:
= 100 + (55 × h)
= 100 + 55h
This illustrates the concept of functions.
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[tex]\frac{1}{x -3/6}[/tex]
The fraction 1/ (x- 3/6) can be simplified in its simplest form as 6/(6x -3).
How can the given faction be expressed?From the question were given the expression as 1/ (x- 3/6) , which have the numerator as 1 and the denominator as (x- 3/6) , then
the denominator can be expressed as
(x- 3/6)
which can be simplified as :
(6x -3)/6
then we can place it back to the normal equation as 1/ (6x -3)/6, since the equation now appear in form of inverse function, Then this can be expressed by simplifying it as 6/(6x -3).
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a line that is parallel to y = 4 and passes through (-3,1)
Answer: I'm not sure what your options are, but a line the passes through -3,1, and is parallel to y=4, would be y=1
Step-by-step explanation: