Option C correctly represents the function.
How do you defined as function?A function is described as the connection here between set of inputs that each have one output. A function is a relation between inputs in which each input is connected to precisely one output. That each function does have a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input. A function's general representation is y = f. (x).For the given question;
From the definition of the function, two values in the domain can not have the same image, thus option a and b are incorrect.
Only option c correctly described the function, as for every value of out put there is only one input.
Thus, option c correctly described the function.
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14.549 - (8.131 + 3.7024)
Answer: 2.7156
Step-by-step explanation:
Using Bidmas: we do the brackets first so 8.131 + 3.7024 = 11.8334
Then 14.549 - 11.8334 = 2.7156
Hope this helps :)
Answer:
Step-by-step explanation:
Which measure of spread is the most appropriate for the data set represented by the graph?
Number of Chocolates
11-
10-
9
8-
7 9
S
ST
3
2-
1 2
3
4 5 678
Number of Children
9 10 11
your answer is B
your welcome
The game of chess is played on a square shaped board. If the length of one edge is 2m[4thpower]n what is the area of the board
Step-by-step explanation:
if I understand correctly, one side of the square is 2m⁴n.
so, the area of the square is
side² = (2m⁴n)² = 4m⁸n²
because
(2m⁴n)² = 2m⁴n × 2m⁴n
and that is 4m⁸n²
() A bookmark has an area of 160 square centimeters. Its perimeter is 56 centimeters.
What are the dimensions of the bookmark?
The dimensions of the bookmark is 14cm.
What is area and perimeter of square?The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms. The perimeter of a square is equal to four times the length of its side, and its area is equal to the square of that length. As a result, the square's perimeter will be as follows: perimeter = 4 x side = 4 area units. As a result, given a square's size, we can determine its perimeter.
Given data
Area = 160cm
Perimeter = 56
Area = side²
Perimeter = 4(a)
Putting values in perimeter
Perimeter = 4a
56 = 4a
a = [tex]\frac{56}{4}[/tex]
a = 14
The dimensions of the bookmark is 14cm.
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Find the distance between each pair of points
the distance between two points is 3.5 cm
How to find distance between two points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.
Calculation(1,-2) (1,1.5)
distance between two points is
= [tex]\sqrt{(1-1)^{2} + (1.5+2)^{2}[/tex]
= 3.5 cm
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counterexample of "There are always more elephants in a zoo than giraffes."
The most appropriate choice for Conjecture and Counter examples will be given by
There is atleast one zoo, may be in Africa or any other countries, where the number of elephants is more than the number of giraffes. This is the required counterexample of this conjecture.
What is Conjecture and Counter examples?
Suppose an information is provided where the information is incomplete or insufficient, then any conclusion formed based on that information is called Conjecture.
Suppose, a statement have been given a statement. If one can provide an example where the conditions of the statement are satisfied but the conclusion is false, then that example is called counter example.
Here,
Counterexample of "There are always more elephants in a zoo than giraffes."
There is atleast one zoo, may be in Africa, where the number of elephants is more than the number of giraffes.
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There are 12 bags of apples on a market store. The main number of apples in each bag is eight. The table shows the number of apples in 11 of the bags. Calculate the number of apples in the bag.
The main number of apples in each bag is eight therefore 12 bags contain 96 apples.
What is basic algebra ?The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.
Given that :There are 12 bags of apples on a market store. The main number of apples in each bag is eight
Eight apples on average fit into each bag.
We need to figure out how many apples are in the 12 bag.
The total number of apples is 8×12 = 96.
Therefore, 12 bags contain 96 apples.
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María Fernanda buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies.
What is the probability that María Fernanda reaches in the bag and randomly selects 2 chocolate chip cookies from the bag?
Based on the number of cookies in the bag of cookies, if María Fernanda is to reach in and select 2 chocolate chip cookies, the probability of that happening is 6.46%
How to find the probability?The events that María Fernanda picks one chocolate chip cookie and then another, are both independent events.
To find the probability of independent events, the formula is:
= Independent event probability 1 x Independent probability 2
Find the total number of cookies:
= 7 chocolate chip cookies + 5 peanut butter cookies + 6 sugar cookies + 8 oatmeal cookies
= 26 cookies
The probability of two chocolate cookies being picked by María Fernanda is:
= Number of chocolate cookies / Number of total chips x Number of chocolate cookies left / Number of cookies left
= 7 / 26 x 6 / 25
= 42 / 650
= 21 / 325
= 6.46%
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Drag a number to each box to complete the product. Numbers may be used more than once.
0.476
4.76
47.6
476
4,760
Equation Product
476 × 0.001
0.476 × 10¹
4.76 × 10³
47.6 x 0.1
476 x 0.001 = 0.476
0.476 x 10¹ = 4.76
4.76 x 10³ = 4,760
47.6 x 0.1 = 4.76
We have to find the following products of the equations.
The basic rule for multiplication between numbers with decimal points can be described through some examples first.
Decimal point is shifted leftwards up to the power of 10 which is divided with it. Also decimal point is shifted rightwards when multiplied with powers of 10.
Now we will find the product for each equation:
For 476 × 0.001, 0.001 = 1/1000
Therefore, 476 × 0.001 = 476 × 1/1000 = 0.476 [decimal point shifted left]
For 0.476 × 10¹ = 0.476 × 10 = 4.76 [decimal point shifted right]
For 4.76 × 10³ = 4.76 x 1000 = 4760 [decimal point shifted right]
For 47.6 x 0.1 = 47.6 x 1/10 = 4.76 [decimal point shifted left]
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After being exposed to an electromagnetic shrinking machine, joe's height decreased by 120cm over 1.5 seconds. his height decreased by the same amount each second.
Main Answer:
Height decreased in 1 second is 80 cm
Explanation:
The total amount of height decreased is 120.
Total amount of time taken is 1.5 s.
Height decreased in 1 second = [tex]\frac{120}{1.5}[/tex]
⇒ [tex]\frac{1200}{15}[/tex]
⇒ 80 cm
Therefore, height decreased in 1 second is 80 cm.
Very confused. Trying to finish it quick so I can finally turn it in. Whoever helps, I'll give you brainliest because where I am its 10pm almost 11.
see the picture instead:
Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities.
see the picture instead :(
The maximum value of the function is at (8, 7).
The inequalities are :4x + 4y ≥ 28-2x + 6y ≤ 26-6x + 2y ≥ -34The objective function is f(x, y) = 7x + 6y.Convert the above inequalities into equations and plot them on the graph, and find the coordinates of their intersection as shown in the graph attached below.Shade the side of the area which satisfies the inequality. Do this for every inequality.Now we check the corner points which fall within the first quadrant as well as in the shaded region of the inequalities.We obtain three points (2, 5), (8, 7), and (6, 1).We will now check which point gives us the maximum value of our objective function.f(2, 5) = 7(2) + 6(5) = 44f(8, 7) = 7(8) + 6(7) = 98f(6, 1) = 7(6) + 6(1) = 48The function achieves its maximum value at (8, 7).To learn more about inequalities, visit :
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A box is filled with 14 blue cards, 2 brown cards, and 4 green cards. A card is chosen at random from the box. What is the probability that the card is not
brown?
Write your answer as a fraction in simplest form.
Answer:
18/20
Step-by-step explanation:There are 20 total cards and 2 are brown so answer would be 18/20.
The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?
The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?
answer please and brainiest for who answered me
The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.
The number of squares to correctly represent 245% on the grid is; 245.
What is the number of smaller squares which would be shaded to represent 0.75%?It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.
Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;
The percentage, 0.75% can be represented by shading 75 smaller squares.
Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.
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Juan's company spent $2,350 on an event, They spent
about $1,500 on food and about $900 on entertainment,
What could the actual cost of the food and entertainment be?
work.
Show your work!!
The actual cost of the food and entertainment be $2,400.
What is defined as the actual cost?The sum of money paid to obtain a product or asset is referred to as the actual cost in accounting. The actual cost is exactly as it sounds like. This cost may be a historical, previous, or current day product cost. You may be wondering what other costs exist aside from the actual cost of a product. Keep in mind that in managerial accounting, costs are budgeted and forecasted.For the given question;
The amount spent by Juan's company = $2,350.
The amount spent of the food = $1,500.
The amount spent on entertainment = $900.
Thus, the actual amount will be;
Actual amount = food + entertainment
Actual amount = $1,500 + $900
Actual amount = $2,400.
Thus, the actual cost of the food and entertainment be $2,400.
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I don’t know 6-8 I need help. Please do not write random I fr need help
In functions, value of x = 45 and y = 45
What is function in math?
A quantitative expression, rule, or law that describes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions occur widespread, and they are essential for defining physical links in the sciences.6) x = 15
y = 49
3x = 3 * 15 = 45
y - 4 = 49 - 4 = 45
7) 3x + 23 = 4x
4x - 3x = 23
x = 23
y = 4 * 23 = 92°
8) y + 12 = 5x °
3x + 50 =
According to the question
y + 12 = 3x + 50
5x = 3x + 50
2x = 50
x = 25
y + 12 = 5x °
y = 5 * 25 - 12
y = 125 - 12 = 113
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solve this equation
[tex] \frac{33}{3} = c + 2[/tex]
Answer:
c=9
Step-by-step explanation:
[tex]11=c+2 \\ \\ c=9[/tex]
(x,-4) and (2,8) m= -3
Answer:
x=6
Step-by-step explanation:
we know that
slope formula is,
m=(y2-y1) / (x2-x1)
where m=-3
x1=x,y1=-4 and x2=2,y2=8,
-3=(8-(-4))/(2-x)
Now solving the expression
we get,
-6+3x=12
3x=18
x=6
help with geometry please.
Answer:
Surface area: 432 Area: 576
Step-by-step explanation:
Surface area fomula: 2lh+2wl+2wh
Area formula:lh
How do I answer this question?
The surface area of the regular pyramid is 151.9 m².
How to find the surface area of a pyramid?The surface area of the regular pyramid can be found as follows:
surface area of the pyramid = A + 1 / 2 ps
where,
A = base areap = perimeter of the bases = slant heightTherefore,
A = 61.9 m²
p = 6 × 5 = 30 m
s = 6m
Hence,
surface area of the pyramid = 61.9 + 1 / 2 × 30 × 6
surface area of the pyramid = 61.9 + 180 / 2
surface area of the pyramid = 61.9 + 90
surface area of the pyramid = 151.9 m²
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pls do number 20!! i mark as brainliest
Answer:
10
Step-by-step explanation:
I'm going to estimate [tex]\sqrt{30}[/tex]. Because root 25 is 5 and root 26 is 6, root 30 is around 5.5. 5.5 + 6.2 is around 10.
Don't say you are going to mark as brainliest if you don't have brainliest.
In the country of United States of Heightlandia, the height measurements of ten-year-old children are
approximately normally distributed with a mean of 54.6 inches, and standard deviation of 5.7 inches.
What is the probability that the height of a randomly chosen child is between 55.15 and 68.35 inches? Do not
round until you get your your final answer, and then round to 3 decimal places.
Answer=
(Round your answer to 3. decimal places.)
Simplify: [(x – 2) ^2(x + 2)] ^2
The value of the expression : [(x – 2) ^2(x + 2)] ^2 will be (x³ - 4x² + 10x + 8)².
How to illustrate the information?It should be noted that the information simony wants us to multiply the expressions that are given. In this case, they can be computed individually. This will be:
(x - 2)² = (x - 2)(x - 2)
= x² - 2x - 2x + 4.
= x² - 4x + 4
This will be:
(x² - 4x + 4)(x - 2)
= x³ - 2x - 4x² + 8x + 4x - 8
= x³ - 4x² + 10x + 8
We will then square the above value. This will be (x³ - 4x² + 10x + 8)².
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could i get another hand please:)
The expression [tex]\sqrt{n}[/tex] which is the third option represents the side length, in feet, of the bulletin board.
It is given in the question that the area of the bulletin board is n square feet.
We have to find the expression that represents the side length, in feet, of the bulletin board.
Let the side, in feet of the bulletin board be x.
We know that,
Area of a square =[tex]side^2[/tex]
We have, side = x
Hence we can write,
Area of a square = [tex]x^2[/tex] square feet
Hence,
[tex]x^2=n[/tex]
Square rooting on both sides, we get
[tex]\sqrt{x^2}=\sqrt{n}\\\\x=\sqrt{n}[/tex]
Hence the expression [tex]\sqrt{n}[/tex] which is the third option represents the side of the square bulletin.
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Phyllis invested $9,500 a portion earning a simple interest rate of 7 1/5% per year and the rest earning a rate of 7% per year. After 1 year the total interest earned on these investments was $677. How much money did she invest at each rate?
Using simple interest, it is found that the amounts invested are given as follows:
$2,350 at a rate of 7.2%.$6,650 at a rate of 7%.Simple InterestSimple interest is used when there is a single compounding per time period, usually measured in years.
The amount of money after t years in is modeled by:
A(t) = P(1 + rt)
In which:
P is the initial amount of the investment.r is the interest rate of the investment, as a decimal.The interest accrued over t years is:
I(t) = Prt.
For this problem, we have that:
She had two investments totaling $9500, hence P and 9500 - P.The rates are of [tex]r_1 = 0.072, r_2 = 0.07[/tex].From the interest earned, we have that:
[tex]I_1 + I_2 = 677[/tex]
In which:
[tex]I_1 = 0.072P[/tex][tex]I_2 = 0.07(9000 - P)[/tex]Replacing both these relations in the sum of interests, we have that:
0.072P + 0.07(9000 - P) = 677
0.002P = 677 - 0.07(9000)
P = (677 - 0.07(9000))/0.02
P = 2350.
Hence she invested $2,350 at a rate of 7.2% and $6,650 at a rate of 7%, as 9000 - 2350 = 6650.
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*We can use the steps to help Marcus round 1.68 to the nearest tenth. First, let's identify the place value we want to round to. That's the tenths place in this number. Click the digit that is in the tenths place.
Choices:
1
6
8
one of these choices are correct!
Find the differential dy in each of the followings:
y = 2t² +t+1
Answer:
4t + 1.
Step-by-step explanation:
Use the General form of the differential:
If y = ax^n,
dy/dx = anx^(n-1)
So:-
y = 2t^2 + t + 1
dy.dt = 2*2t^(2-1) + t^(1-1) + 0
= 4t + 1.
pls help ill give brainly
The slope of this straight line is equal to: A. 2
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
By critically observing the given graph, we can logically deduce the following points:
Point (x, y) = (1, 1) Point (x, y) = (-1, -3)Note: Each interval on this graph represents 1 unit.
Substituting the given points into the formula, we have;
Slope = Δy/Δx
Slope = (-3 - 1)/(-1 - 1)
Slope = -4/-2
Slope = 2
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is -4 a solution for the equation?
5x(2-4)=2(5x-4)
please explain ur answer/show work. :)
Answer:
x=[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
5x(2-4)=2(5x-4)
1. First we expand the brackets
10x-20x=10x-8
2. we can simplify the equation to
-10x=10x-8
3. we want to find the value of x so we get all of the x on one side so we would -10x on both side
-20x=-8
4. to find the value of x we divide each side by -20 this gives us
x=[tex]\frac{8}{20}[/tex]
(it's not a negative as the negative cancel each other out as negative divided by negative gives us positive)
5. However we can simplify the fraction by dividing the top and bottom by 4 (this is because the highest common factor for both number is 4) this gives
x=[tex]\frac{2}{5}[/tex]
6. Therefore -4 is not a solution for the equation
2.
Which sequence of transformations will
carry the given pre-image onto the image
shown with dashed lines?
B
D₂
I
a. Reflect across BD, and then
rotate 270° clockwise
b. Rotate 90° clockwise about D,
and then translate to the right
c. Translate to the right, and then
rotate 90° counterclockwise about A
d. Rotate 90° about D, and then
reflect across AB
To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.
What is translation of figure?When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.
If we know which way the figure is moving and how much, we can draw the translation in the coordinate plane.
Every point of the object must be translated by the same amount and in the same direction.
To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.
option (d)
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