A number line is a line that shows the locations of all directed numbers. The answers required to the question are:
i. The location of G is 2.18.
ii. The length of FG is 0.98.
A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.
Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.
From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).
Thus,
Point FH = 3.15 - 1.20
= 1.95
x = [tex]\frac{FH}{2}[/tex]
= [tex]\frac{1.95}{2}[/tex]
x = 0.975
So that,
Location of point G = 1.200 + 0.975
= 2.175
Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).
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Answer:
Location of G: 6.4
Length of FG: 5.2
Step-by-step explanation:
correct on Edementum/Plato
Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria.
No Common Tangents (10 points)
Diagram:
Justification:
The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.
How to Create Common Tangents?
A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.
1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.3. When one circle intersects the other one, then two tangents are possible.4. When one circle touches the other one at a point outside, then three tangents are possible.5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.
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Please Answer Asap!!! Write the equation based on the graph of the following base 2 logarithmic function:
The graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].
Suppose that the function is
[tex]f(x)=\log_2(x+c)+d[/tex]
Then there are two observations that we must consider from the figure
The graph must pass through (-2,-2) and (1,0)So,
[tex]-2=\log_2(-2+c)+d[/tex]
[tex]\implies -2+c=e^{-2-d} ...~...~(1)[/tex]
And,
[tex]0=\log_2(1+c)+d\\\implies 1+c=e^{-d} ~...~...~(2)[/tex]
Observe the figure given below we see that the graph of
[tex]\log_2(x)[/tex] passes through (1,0) but does not pass through (-2,-2) and the graph is to the right of (-2,-2) hence, we need the graph to move left.
When we increase c the graph [tex]\log_2(x+c)+d[/tex] moves left and
When we decrease d then the graph [tex]\log_2(x+c)+d[/tex] moves down.
That makes the graph required to be [tex]\log_2(x+3)-2[/tex].
Hence, the graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].
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Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?
Answer:
3/4
Step-by-step explanation:
The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.
You would then need to simplify...
6/2=3
8/2=4
which which lead you to 3/4!
x³/x=x²
FACTORISE this term .show the process as well.
first know it in a simple way
that,3-1=2 right so if we add base and numbers in power , because it has same base when x i.e x to the power 1 goes up
Step-by-step explanation:
x^3/x^1
now
x^3 *x^-1
x^3-1
x^2
proved
Avery solves the equation below by first squaring both sides of the equation.
√z^2+8 = 1 -2z
What extraneous solution does Avery obtain?
z= ?
[tex]\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}[/tex]
We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.
Find a 95% confidence interval for the mean amount of time spent on this ride. Round the values in your confidence interval to two decimal places. The 95% percent confidence interval is
95% confidence interval is 1.96
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.
From Standard Normal table, P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.
Hence 95% percent confidence interval is 1.96
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Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00.
On Saturday, the store will have a sale and discount the computer by 30%.
Shoppers who buy a computer that same Saturday before 9:00 a.m. will also receive an additional 10% off the sale price.
How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 a.m.?
Answer:
Step-by-step explanation:
you take 30% and 10% and turn them into decimal like so:
30/100=0.3
10/100=0.1
400.00(0.3)=120.00
120(0.1)=12
3 men build a wall in 2 days.
How long will it take
a) 1 man
b) 2 men?
Please show working
Answer:
Step-by-step explanation:
Big clever stuff 100 men in 1 second tick tick boom
Simplify the following expression as a
monomial:
-8a8
———-
-2a7
Answer:
4a
Step-by-step explanation:
-8 / -2 = 4
a^8/a^7 = a^(8 - 7) = a
Answer: 4a
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
332. (5 − 3x)(5 + 3x)
Answer:
The product is the difference of squares is [tex]$$\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (5-3 x)(5+3x).We have to multiply the given expression.Square the first term 5. Square the last term 3x.[tex]$$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$$[/tex]
Identify the line with an undefined slope
Answer:
d. vertical line
Step-by-step explanation:
A line with an undefined slope is a vertical line
Slope is the change in y over the change in x
When the slope is undefined, it means that the x does not change, which is a vertical line
Answer:
Line D
Step-by-step explanation:
Slope is defined as rise/run. Since a vertical line has zero run and infinite rise the equation is infinity/0 and anything divided by zero is undefined.
what is the relationship between the radius, surface area and volume of a cylinder?
Answer:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
Which of the following represents x = 1/3y written in general form?
The general form of the given equation is 3x-y=0.
The given equation is [tex]x=\frac{1}{3}y[/tex].
We need to write the given equation in a general form.
What is a general form of an equation?The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.
That is, [tex]3x=y[/tex]
[tex]3x-y=0[/tex].
Hence, the general form of the given equation is 3x-y=0.
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Please help 15 points
Since in each option, each input is mapped to only one output, all the options are correct.
When a relationship represents a function?A relationship represents a function when each input is mapped to only one output.
In this problem:
For the Venn sets, only one line departs each value of x, hence it is a function.For the ordered pairs, each value of x(2, 5 and -4), is mapped to only one value of y, hence it is a function.The graph has no vertically aligned points, hence it is a function.Thus all the options are correct.
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Someone help, I need answers ASAP pls it’s urgent pls
Find the area of the shaded regions.
Answer:
Area = 84.8 cm²
Step-by-step explanation:
It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.
Area of Circle:
r = 6 cm
A = πr²
A = π(6 cm)²
A = π(36 cm²)
A = 113 cm²
Area of Shaded Region:
Area (Entire Circle) x 3/4 = Area (Shaded Region)
113 cm² x 3/4 = 84.8 cm²
Given the function g(x) = x^2 - 5x which statement is not correct ?
Hello,
g(x) = x² - 5x
g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct
g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct
g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct
g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct
math!! please please helppp!!!
What is the slope of the line below?
(i attached an image)
a) (0,4)
b) -1/3
c) (-1.5,0)
d) 3
e) 4
f) (0,4)
g) -3
h) 1/3
Answer:
The slope is 3
Step-by-step explanation:
it is 3 up and 1 across, which is 3/1 = 3
Answer:
3
Step-by-step explanation:
Look at the two lower dots shown on the line.
slope = rise/run
The vertical distance from the lower point to the higher point is 3. That is the rise.
The horizontal distance from the lower point to the higher point is 1. That is the run.
slope = 3/1 = 3
Answer: 3
What are the four steps for multiply rational expressions as seen in the lesson
pls help on algebra homework!! will mark brainliest!
Answer:
32
Step-by-step explanation:
YZ = ⅗XY.
XY = 20
20 / 5 x 3 = 12
YZ = 12
XZ = YZ + XY
XZ = 20 + 12
XZ = 32
Work is attached. Hope it helps!
A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers.
How many people were polled?
A. 48
B. 69
C. 118
D. 166
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
The price of one pill is approximately $0.04.
What is the price of one pill?Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.
Price of one pill = cost of 50 pills / 50
$2.05 / 50 = $0.04
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There are 210 rabbits at the farm. For every 5 gray rabbits, there are 2 white rabbits. How many white rabbits are at the farm
The number of white rabbits that are at the farm is 60
Calculating quantityFrom the question, we are to determine the number of white rabbits that are at the farm
From the given information,
There are 210 rabbits at the farm
and
For every 5 gray rabbits, there are 2 white rabbits
Then, we can write that
5x + 2x = 210
Where x is the number of groups of 5 gray rabbits and 2 white rabbits
Then,
7x = 210
x = 210/7
x = 30
The number of white rabbits is 2x
∴ Number of white rabbits = 2×30
Number of white rabbits = 60
Hence, the number of white rabbits that are at the farm is 60
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Two digit natural number whose sum is 5
When the tens place digit is x write in terms of x
The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y
How to find a two digit number?
We are given that the sum of a two digit number is 5.
Now, if the number is xy, then we can say that;
x + y = 5
Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;
10x + y
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is translation a and b?
The __________ states that as a procedure is repeated again and again and again and again, the probability tends to approach the actual probability.
Answer:
Law of large Numbers
Step-by-step explanation:
The Law of large numbers.
What is the Law of natural numbers?The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.
An example of the Law of Large Numbers:
Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.
So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.
It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.
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A rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn. If you do not fence the side along the barn, find the length and width of the plot that will maximize the area if you have 200 feet of fence. What is the largest area that can be enclosed
5000 square feet is the largest area that can be enclosed
It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.
One-fourth of the perimeter = 50
The other width also equals 50.
So the length of fencing = 200 - 50 - 50 = 100
So the area = 50 x 100 = 5000 square feet.
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The idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh: Group of answer choices Loot boxes
User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.
User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.
User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.
Types of User-Generated Content
Social media content.Reviews and testimonials.Blog posts.Video content (including live streaming and AR lenses/filters)Q&A Forums (including comments)Case studies.Learn more about User-Generated Content here https://brainly.com/question/20900221
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if a football player passes a football 4 feet off the ground with the velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h=-16t^2+36t+4
The ball will hit the ground after 2.355 secs
Velocity of an objectThe velocity of an object the change of displacement with respect to time.
Given the function that represents the height of football ground
h(t) = -16t^2+36t+4
The ball will hit the ground at the point where the height h(t) = 0
Substitute
-16t^2+36t+4 = 0
16t^2-36t-4 =0
4t^2-9t-1= 0
Factorize
t = 9/8 + √97/8
t = 9/8 + 1.23
t = 2.355secs
Hence the ball will hit the ground after 2.355 secs
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9r-4(-5r-5)<-9r+10+5