Answer:
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
Step-by-step explanation:
You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
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What subset of real numbers does 18.5 inches belong to?
Answer:
The correct answer is rational.
Step-by-step explanation:
The diameter of the tree belongs to the subset of rational numbers.
Natural numbers are the numbers 1, 2, 3 4, etc. Since 18.5 has a fractional/decimal component, it is not considered a natural number. Whole numbers include all of the natural numbers, as well as 0; therefore, 18.5 is not a whole number either.
Integers include all whole numbers as well as negative numbers, but the integer category still does not encompass numbers with a decimal component. For this reason, 18.5 is not an integer either.
Therefore, the only subset of numbers that 18.5 can fall under is rational numbers. A rational number is a number that can be represented as a fraction. 18.5 can be represented as 37/2 and is thus a rational number.
You can also refer to the infographic given in the question for further clarity on which subsets of numbers are more inclusive than others.
Hope this helps!
PLZ HELP ME PLEASEEEEE ASAP THIS IS SIGN LANGUAGE HELP I GIVE HECKA POINTS 1: Signs made too close to another person's face can be offensive. True False 2: When a joke is interpreted, it is acceptable for the interpreter to smile. True False 3: Total Communication can include elements of ASL and SEE. True False
Answer:
#1 true
#2 false
false
Step-by-step explanation:
.
Given g(x)=-x-4, find g(5)
The required g(5) is -9.
Function g(x) = -x-4. g(5) to determine.
The function is a type of mathematical sting that contains an algebraic link.
Here. g(x) = -x-4
Put 5 in place of x.
g(5) = -5-4
g(5) = -9
Thus, g(5) is -9
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What would be the constant in this problem? 20c+5w+95.50
Answer:
95.50
Step-by-step explanation:
a constant is a number not attached to a variable
in this case the variables are c and w
95.50 is the only one without a variable
PLZ ANSWER ASAP!!!!!!!
Answer:
u=(9-6w)÷-2
Step-by-step explanation:
Answer:
u = 3w - 4.5
Step-by-step explanation:
Step 1: -2u + 6w = 9 - Solve for u by isolating the variable u.
Step 2: Subtract 6w both sides
-2u = 9 - 6w
Step 3: Divide by -2 both sides
u = ( 9 - 6w ) / ( -2 )
u = 3w - 4.5
Have a good day!! :)
Please help I will give out brainliest
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
The points (-4,-3) and (2,4) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer: sqrt(85)/2
Step-by-step explanation:
Remember that the length of the diameter is twice that of the radius.
The first step would be finding the distance between the two points using the distance formula[tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}[/tex].
The distance of diameter = [tex]\sqrt{85}[/tex]
The distance of the radius would be half that, so [tex]\frac{\sqrt{85}}{2}[/tex]
This oblique triangular prism has a volume of 63 cm.
What is the area of the base of the prism?
Answer:
its 10.5 cm
Step-by-step explanation:
its what I got off of khan
The base area of the oblique triangular prism is 10.5 square cm
How to determine the base area?The volume is given as:
Volume = 63 cubic cm
The height of the prism is:
Height = 6 cm
The base area of the prism is then calculated using:
Area = Volume/Height
So, we have:
Area = 63/6
Evaluate
Area = 10.5
Hence, the base area of the triangular prism is 10.5 square cm
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Round this whole number Round 5,165 to the nearest ten.
Answer:
5,170
Step-by-step explanation:use rounding number calculater for extra help
in smithville. there were 230 teachers in 1990 and 324 teachers in 2000. find the percent of increase in the number of teachers in the smithville during this time period. Round to the nearest tenth of a percent.
Answer:
40.8696% increase (40.9%)
Find the number of ways of arranging the letters of the word MOSHOESHOE, if the letter M must always begin a word
Answer:
7560.
Step-by-step explanation:
There are 9 letters after the M consisting of 3 O's, 2 H's, 2 H's and 2 E's.
So the number of ways is 9! / (3!*2!*2!*2!)
= 362880 / (6*2*2*2)
= 362880 / 48
= 7560.
The number of ways the word MOSHOESHOE can be rearranged, if the letter M must always begin a word is 75,600 ways
Given:
MOSHOESHOE
n = total number of letters = 10
a = number of times O appears = 3
b = number of times S appears = 2
c = number of times E appears = 2
d = number of times H appears = 2
number of ways the word can be rearranged if M must always begin a word
= n! / (a! b! c! d!)
= 10! / (3!, 2!, 2!, 2!)
= (10 × 9 × 8 × 7 × 6 × 5 × 4× 3 × 2 × 1) / (3 × 2 × 1, 2 × 1, 2 × 1, 2 × 1)
= 3,628,800 / (6 × 2 × 2 × 2)
= 3,628,800 / 48
= 75,600 ways
Therefore, the number of ways the word can be rearranged if M must always begin a word is 75,600 ways
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1. A man is paid $ 600 per week after a pay rise of 20 %. What was he paid before?
Answer:
y. 100
------ = -------
600. 120
120y= 60000
y = 60000÷ 120
= $500
how do i write numbers in standard form?
Answer:
For Example say a number is in scientific form, 4.10x10^5, to write this in standard form you can either do 10^5=100,000x4.10=410,000, or you could simply take 4.10 and move the decimal place 5 places to the right, and you would get the same answer, 410,000.
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x. 8 is decreased by a number.
Answer:
Given, a number is x.
The question says 8 is decreased by a number. So which is x.
Decreased by here means subtracting "a number" from the "other number".
According to the question, the algebraic expression will be given by-
8-x
Regards!
A plant is 8 cm tall, and grows 3 cm taller each week. How tall will the plant be after 25
weeks?
Answer:
83 cm
Step-by-step explanation:
let's make an equation for this situation. The plant starts at 8 cm and grows 3 cm every week. If x represents time in weeks and y represents height in cm, then:
y = 8+3x
filling in 25 for x, we find that:
y = 8+75
y = 83 cm
Answer:83
Step-by-step explanation:
25 x 3 = 75
75 + 8 = 83
A map has a scale of 1:100,000 what is the map distance between two cities if the real distance was 20km
Step-by-step explanation:
I guess you mean 1cm:100000cm
Hence, for every 1 cm on the map 100000 cm is covered on the land.
Take the distance on the map for 20 km be x
Hence, 1:100000:: x: 2000000 cm
In order to solve this ratio, you must multiply the extremes and the moderates (nears).
Hence, 2000000×1=100000×x [1km=100000 cm]
Hence, 2000000= 100000x
Hence, x=2000000/100000 cm
Hence, x=20 cm
Hence, 20 cm on the map
plz, help ASAP!!! WILL MARK YOU BRAINLIEST IF UR ANSWER IS CORRECT QUESTION #5
Answer:
D.
Step-by-step explanation:
The domain remains the same [a, b) and the range is [mc + n,md + n).
b) If a, b, c are three rational numbers where a =
a = 3
3,6 = and c =
olů
Verify: a + (b + c) = (a + b) + C
Step-by-step explanation:
a =
a = 3
3,6 = and c =
olů
what is this please write this clearly
What is the distance between the points (5, 1) and (-3, -5)?
2
2
10
4
Step-by-step explanation:
Hey, there!!
The given points are A(5,1) and B(-3,-5)
We have, distance formulae for AB is,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
[tex]ab = \sqrt{( { - 3 - 5)}^{2} + ( { - 5 - 1)}^{2} } [/tex]
[tex]ab = \sqrt{( { - 8)}^{2} + ( { - 6)}^{2} } [/tex]
[tex]ab = \sqrt{64 + 36} [/tex]
[tex]ab = \sqrt{100} [/tex]
Therefore, the distance between AB points is 10 units.
Hope it helps...
PLEASE HELP!! Stuart invested $800 in a computer and now makes $5 a page typing research
papers. Let x represent the number of pages Stuart has typed, and let y
represent his profit.
a. Write an equation for y in terms of x.
Answer:
y = 5x - 800
Step-by-step explanation:
If x represents the number of pages typed, 5x will represent how much money he earns from typing them, since he gets $5 per page.
Then, 800 needs to be subtracted from this because he spent $800 on the computer.
So, the equation will be y = 5x - 800 to represent his profit.
-4c^2+7, c=7a^2 solve for c
The answer is explained in the photo I have linked.
Using the slope formula, find the slope of the line through the given points (3,3) and (1,1)
Answer:
1
Step-by-step explanation:
The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so when you plug in all of the numbers to where they are supposed to be you would get [tex]\frac{1-3}{1-3}[/tex] which is [tex]\frac{-2}{-2}[/tex] which can be simplified to [tex]\frac{1}{1}[/tex] which is just 1 and that would be our answer
round three significant figures 12.3456
Answer:
12.3
Step-by-step explanation:
Round it where you have 3 numbers that are not 0.
12.3456
round to the hundredths place
12.34 (round to 4)
12.3 (3 sigfigs)
Answer:
12.4
Step-by-step explanation:
12.3456
first you would round the 5 to a 6, the round the 4 to a 5, because the six is greater than five, than you would change the 3 to a 4, because the four that was changed to a five now is big enough to change the number.
What is the common ratio of the geometric sequence below?
18, -6, 2. - ...
Answer:
C
Step-by-step explanation:
The solution is Option C
The common ratio of the geometric sequence is -1/3
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric sequence be represented by A
Now , the value of A is
A = 18 , -6 , 2 , -2/3
Let the first term of the geometric sequence be = a₁
The value of a₁ = 18
Let the second term of the geometric sequence be = a₂
The value of a₂ = -6
And , the common ratio r is given by the formula
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = -6/18
On simplifying the equation , we get
Common ratio r = -1/3
Therefore , the ratio is -1/3
Hence , The common ratio of the geometric sequence is -1/3
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Can someone please help me with this question? I REALLY need help.
What is the value of [tex]$ \sum_{n=1}^\infty (\tan^{-1}\sqrt{n}-\tan^{-1}\sqrt{n+1})$[/tex]? The answer should be in radians.
Answer:
-45
Step-by-step explanation:
The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.
When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as n and other numbers then add the result.
The sum telescopes. Consider the N-th partial sum of the series,
[tex]S_N=\displaystyle\sum_{n=1}^N\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)[/tex]
[tex]S_N=\bigg(\tan^{-1}\sqrt1-\tan^{-1}\sqrt2\bigg)+\bigg(\tan^{-1}\sqrt2-\tan^{-1}\sqrt3\bigg)+\bigg(\tan^{-1}\sqrt3-\tan^{-1}\sqrt4\bigg)+\cdots+\bigg(\tan^{-1}\sqrt N-\tan^{-1}\sqrt{N+1}\bigg)[/tex]
Notice how [tex]\tan^{-1}\sqrt2[/tex] is added, then immediately subtracted. The same goes for [tex]\tan^{-1}\sqrt3[/tex], then [tex]\tan^{-1}\sqrt4[/tex], and so on, up to [tex]\tan^{-1}\sqrt N[/tex]. This leaves us with
[tex]S_N=\tan^{-1}\sqrt1-\tan^{-1}\sqrt{N+1}[/tex]
The value of the given sum is obtained as [tex]N\to\infty[/tex]. We get
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\lim_{N\to\infty}S_N=\tan^{-1}1-\lim_{N\to\infty}\tan^{-1}\sqrt{N+1}[/tex]
To compute the limit, recall that [tex]\tan^{-1}x[/tex] has a range of [tex]\left(-\frac\pi2,\frac\pi2\right)[/tex]; in particular, [tex]\tan^{-1}x\to\frac\pi2[/tex] as [tex]x\to\infty[/tex]. So we have
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\frac\pi4-\frac\pi2=\boxed{-\frac\pi4}[/tex]
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, key
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?
Solution:
(a)
The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.
In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.
So, the "individuals" in this data set are the monkeys.
(b)
Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.
Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.
In this case the variables are:
Number of bananas the monkeys ate - Quantitative variable
Gender - Categorical variable
Age (in years) - Quantitative variable
Specific breed of monkey - Categorical variable
The individuals in the data set refers to each monkey used in the experiment.
The variables in the experiment include :
Number of bananas = QUANTITATIVE (DISCRETE) gender = QUALITATIVE (MALE OR FEMALE) Age (in years) = QUANTITATIVE (discrete) and the specific breed of monkey = QUALITATIVE.Individuals used in a research refers to each species or subject used in the research finding.
QUALITATIVE or categorical variables are used as labels rather than numerical values. They include gender, colors , and so on. QUANTITATIVE variables involves numerical variables upon which basic mathematical operations may be performed.DISCRETE variables involves variables whose values or numbers can be obtained by counting.while
CONTINUOUS variables include variable measure are obtained by measurement such as height and weight.
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Complete question :
Mr. Molesky observes a group of monkeys for 24 hours to learn about
their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative(continuous), or quantitative(discrete), make sure tell me which one is continuous and which one is discrete
Please help!!!
A pairs of fair die is tossed. What is the probability of not setting a sum 13?
A. 0
B. 1
C. 2
D. 0.5
Answer:
Answer is A the highest number we can get is 12 so its potion A
The both highest numbers are 6 and, 6 6 +6 is 12 so its 0
Find the sum : 1/2( x+7) = 32
Answer:
x=52
I think it is the answer
Exponential functions help please
Answer:
8400/2 then simplify
Step-by-step explanation:
is it possible to have a regular polygon whose each exterior angle measure 57 degree justify your answer
Answer:
NoStep-by-step explanation:
The sum of all exterior angles of any regular polygon is 360°.
= [tex]\frac{360}{57} \\\\= 120/19\\or\:6.315[/tex]
The number of sides should be a natural number not in fraction or decimal