The four fundamental translations or transformations in geometry are translation, reflection, rotation, dilation, and resizing.
How many translations are there in math?For a function graph, four different transformations are feasible (and translation in math is one of them). When we translate, we move a figure in any direction. When we reflect, we turn a figure or a line over. The act of rotating a figure around a point is known as rotation.
In mathematics, a translation merely moves a shape up, down, left, or right without turning it. The image or the translated shapes seem to be the same size as the original shape, proving that they are congruent. Simply said, they have changed their path or directions.
Three types of translation are described in Jakobson's On Linguistic Aspects of Translation (1959, 2000): intralingual (inside one language, such as rewording or paraphrasing), interlingual (between two languages), and intersemiotic (between sign systems).
To learn more about translations refer to :
https://brainly.com/question/1046778
#SPJ4
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1 day, what is the size of the colony after 4 days? How long is it until there are 40,000 mosquitoes? What is the size of the colony after 4 days?
Answer:
5832 mosquitoes
Step-by-step explanation:
As we know
[tex]A = A_0 * e^{kt}\\[/tex]
Where A is the population after t days
A0 is the initial population
k is rate constant and
t is the time in days
Substituting the given values we get
[tex]1900 = 1000 * e^{1 * k}\\1.9 = e^{1 * k}\\k = 0.587[/tex]
Size of colony after 4 days
[tex]A = 1000 * e^ {(0.587*4)}\\A = 5832[/tex]mosquitoes
If AC = 9 cm and tan ABC = 0.75, what is the length of BC?
Answer:
12 cm confirm ...................
From the concept of trigonometric ratios, we determine the length of the side BC is 6.75 cm.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The length of the side AC = 9cm.
The measure of tan∠ABC = 0.75.
We know tan = opposite/adjacent.
Here, the opposite is AC and adjacent is BC.
Therefore, 0.75 = 9/BC.
BC = 9×0.75.
BC = 6.75.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
Help please I would appreciate it
Answer:
A
Step-by-step explanation:
see attached .
hope it's helps .
26 + 58 rounded to the nearest ten
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
26+58=84
Rounded=80
What is the image point of (-5,0) after a translation left 2 units and down 1 unit?
Answer:
The image point of (-5, 0) after a translation left 2 units and down 1 unit would be the point (-7, -1).
Step-by-step explanation:
The original point is located at (-5, 0), a translation of two units to the left would be an increase of -2 in the x-axis, and a translation of down 1 unit would be an increase of -1 in the y-axis. Using the translation, you can infer that the new coordinate would be (-5 - 2, 0 - 1) or (-7, -1).
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
Johnny's father made a deal with him. He would pay him 30 cents to work for him the first day and double the amount every day.
Answer:
wow Johnny is going to be a million-are by the end of the year :) lol
Step-by-step explanation:
Have a nice night mate
:)
mark brainliest please :)
Answer:
I.d.k wut the question is asking but...
Step-by-step explanation:
30 cents a day then for every day he adds on so day 1 = 30 cents
Day 2 will be 60 cents day 3 would be 90 cents and so on just keep adding 30 cents per day Hope this helps if i didnt answer wut you were asking comment wut you were looking for and i will gladly help :D
Find f(4) for the following function: *
Enter your solution in the following format f(4) = solution. (Ex: f(4) = 5)
f(x)=5(x-7)+14
Answer:
f(4) = - 1
Step-by-step explanation:
To evaluate f(4) substitute x = 4 into f(x) , that is
f(4) = 5(4 - 7) + 14 = 5(- 3) + 14 = - 15 + 14 = - 1
Which expression is equivalent to 4(23)?
4(2+3)
4(20+30)
4(2+13)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
you can just add 20+3 to make the (23) part of the equation it's very simple dont make it complicated luv
9. An object that has traveled 400 km in 50 hours, what was the average speed?
Answer:
its 8
Step-by-step explanation:
Divide 400÷50
a) 12, 10, 7,3,
Rule:
b) 1,3,9, 27,
Rule:
I
c) 4, 19, 34, 49
Rule:
1. The midsegment of a trapezoid is half the sum of the bases.
true or false ?
Answer:
TRUE
Step-by-step explanation:
TRUE
Therefore, the given statement "The midsegment of a trapezoid is half the sum of the bases" is True.
What is a trapezium?A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.
The midsegment of a trapezoid is a line segment that connects the midpoints of the two non-parallel sides of the trapezoid. Since the midsegment connects the midpoints of the two non-parallel sides, it will always have the same length as half the sum of the two bases.
Therefore, the given statement is True.
Learn more about the trapezium here:
https://brainly.com/question/28697373.
#SPJ2
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-4))
Answer:
171
Step-by-step explanation:
First you plug -4 into the g(x) equation
g(-4)= 1-3(-4)
Use pemdas
g(-4)= 1+12
g(-4)= 13
Next you plug 13 into the f(x) equation
f(13)= 13^2 + 2
First you do 13^2=169
Add 2 and you get 171
In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
PLEASE HELP !!!! Give an example of
4.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
A. inverse variation; xy = 20
B. direct variation; y = 20x
C. direct variation; [tex]y=\frac{20}{x}[/tex]
D. inverse variation; [tex]\frac{y}{x} =20[/tex]
Answer: A. inverse variation; xy = 20
ANSWER
Step-by-step explanation: Brainly
B) xy=20
Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".
...............................................................................................................................................
Answer:
Option B is correct
Inverse variation , xy = 20
Step-by-step explanation:
Inverse variation states:
If
then the equation is in the form of:
or
xy = k ....[1]
As per the statement:
Given the data:
x : 2 4 8 12
y : 10 5 5/2 5/3
Let any value of x and y to find k:
x = 4 and y = 5
Substitute in [1] we have;
⇒20 = k
or
k = 20
then we get;
xy = 20
Check:
Substitute x = 12 and y = 5/3
⇒ true.
Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20
61 = m + - 8 what would be m
Answer:
m would be 69!
Step-by-step explanation:
61 = m - 8
61 + 8 = m - 8 + 8
69 = m
Answer: 69
Step-by-step explanation:
61=m+-8
as plus minus equals to minus so its -8
61=m-8
m=61+8
m=69
Help please it’s timed
Answer: a
Step-by-step explanation:
.............................
Answer:
the last one
Step-by-step explanation:
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were 140 five-dollar bills, and 255 one-dollar bills. What expression could he use to find out how much money was collected?
Whoever answers first gets brainlest! :)
Answer:
(140 × $5) + (255 × $1)
Therefore, the money was collected is $ [tex]955[/tex].
What is an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here given that,
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.
So, it is of the form:-
[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]
[tex]=700+255\\\\[/tex]
[tex]=955[/tex]$
Hence, the money was collected is $ [tex]955[/tex].
To know more about the expression
https://brainly.com/question/2802161
#SPJ2
help now please no links
Answer:
60 cm^2
Step-by-step explanation:
I did it hope it helps
Answer: 60 cm²
Step-by-step explanation:
OUTLINE:
1. Find the area of triangles
2. Find the area of rectangles
SOLVE:
#1 Area of Triangles
Formula: a=(1/2)bh
a=area
b=base
h=height
b=6 cm
h=4 cm
a=(1/2)bh
a=(1/2)(6)(4)
a=12 cm²
There are 2 triangles ⇒ 12×2=24 cm²
#2 Area of Rectangles
Formula: a=bh
b=base
h=height
b=6 cm
h=2 cm
a=bh=6×2=12 cm²
There are 3 rectangles ⇒ 12×3=36 cm²
Find the total surface area: 36+24=60 cm²
Hope this helps!! :)
Please let me know if you have any questions
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream?
A. A two-sample t-test for a difference between means
B. A chi-square test of independence
C. A linear regression t-test for slope
D. A two-sample z-test for a difference between proportions
E. A matched pairs t-test for a mean difference
Answer:
The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;
C. A linear regression t-test for slope
Step-by-step explanation:
The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;
Y = B₀ + B₁·X
The test is used to test the regression line slope where we have;
B₀ = The constant
B₁ = The slope also known as the regression coefficient
The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.
Therefore, we have
Y = B₀ + B₁·X
Where;
X = The percentage of peaches in the ice cream
Y = The density of the ice cream
PLEASE HELP ME ASAP
Answer: -2
Step-by-step explanation: add all of the answers together to get -18. Then, divide by the total amount of numbers, 9 numbers in total. -18/9=-2
Answer:
2.111...
Step-by-step explanation: add the numbers altogether and divide by how many number you added
Determine the measure of angle b using the photo.
Answer:
m<b = 41
Step-by-step explanation:
<b = 41 because of vertical angle thm
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
Mark me Brainliest?
Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer.
Answer:
x = 13.77
Step-by-step explanation:
cos 37° = 11/x
0.7986 = 11/x
0.7986x = 11
x = 11/0.7986
x = 13.77
The value of the hypotenuse x will be 14.37.
What will be the value of the hypotenuse?Here in the triangle, it is given that
The angle between base and hypotenuse = [tex]37^0[/tex]
The base =11
So from the property
[tex]COS\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]Cos37=\dfrac{11}{x}[/tex]
[tex]x=\dfrac{11}{0.7654}[/tex]
[tex]x=14.37[/tex]
Thus the value of the hypotenuse x will be 14.37.
To know more about Trignometry follow
https://brainly.com/question/7331447
The sum of David's weight and Mike's weight is 180 pounds. If you subtract David's weight from Mike's weight, you get half of Mike's weight. How much does Mike weigh?
Answer: 120 Pounds
Step-by-step explanation:
Given
The Sum of David and mike weight is 180 pounds
Suppose the weight of David is x and the weight of mike is y
So, [tex]x+y=180[/tex]
Also, subtracting David's weight from Mike's weight, we get half of Mike's weight
[tex]\Rightarrow y-x=\dfrac{y}{2}\\\Rightarrow 2x=y[/tex]
Put the value of x in the above equation, we get
[tex]\Rightarrow 1.5y=180\\\Rightarrow y=120\ pounds[/tex]
Thus, mike Weighs 120 Pounds
BRAINLIEST
a. 45
b. 34
c. 29
d. 56
Answer:
(d). 56°
Step-by-step explanation:
cos x° = [tex]\frac{5}{9}[/tex]
x° = [tex]cos^{-1}[/tex] [tex]\frac{5}{9}[/tex]
x° ≈ 56.25° ≈ 56°
2. Find the Surface Area 13 cm 5 cm 8 cm 12 cm
Answer:
I got 270cm!
Hope this helped!
identify the vertex of the graph
Answer:
(-1,-3)
Step-by-step explanation:
Answer:
y = a(x – h)2 + k,
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.