This graph represents a function Because it passes the vertical line test.
Let us first understand the Vertical Line Test.
In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.
If there exists a line that intersects the graph, we say the graph passes the vertical line test.
What is the vertical line test?
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
Hence this graph passes the vertical line test because there are many vertical lines that intersect it.
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it rained on 3/7 of days write the rof the days it rained to number of days
The ratio of the days it rained to number of days is 3 : 7
How to determine the ratio?The proportion of the number of days it rained is given as:
Proportion = 3/7
This means that:
Proportion = Days it rained/Total number of days.
So, we have:
Days it rained/Total number of days = 3/7
Express as ratio
Days it rained : Total number of days = 3 : 7
Hence, the ratio is 3 : 7
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A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 18 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results?
Based on the difference in the observed means given, we can infer that energy drink does indeed have an effect on performance.
Can the energy drink affect performance?First find the observed mean difference:
= 11.6 - 10.8
= 0.8 seconds
When the exercise is done only once, we see that on average, those who took the energy drink were faster and so finished earlier than those who didn't.
We can therefore infer that the energy drink has an effect on performance.
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What is the diameter of a hemisphere with a volume of 458 ft³, to the nearest tenth
of a foot?
Answer:
12.0 ft
Step-by-step explanation:
Can someone please help me figure out these 10th grade geometry arc problems? ANY help appreciated, but please explain how you got your answer! Will reward brainly and 5 stars + thanks!
Answer:
Step-by-step explanation:
Write an equation for the line through the point (1,3) parallel to
the line y =
1/2x + 10.
Answer:
y=1/2x+5/2
Step-by-step explanation:
The slope will not change if the line is parallel.
So start with 1/2x and plug in 1.
You will get 1/2 and you need to get a total of 6/2 to get a y of 3.
since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.
Which of the following is an exponential function?
a. f(x)=x³ + 2x²² -6
b. f(x) = 5/x
c. f(x) = 5x + 2
d. f(x) = 4x²
e. f(x) = 4x*2*
f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as
y = aˣ + b
The exonentuial functions are given below.
a. f(x)=x³ + 2x²² -6, this is not an exponential function.
b. f(x) = 5/x, this is not an exponential function.
c. f(x) = 5x + 2, this is not an exponential function.
d. f(x) = 4x², this is not an exponential function.
e. f(x) = 4²ˣ, this is an exponential function.
Then the correct option is E.
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The box plot below represents some data set. What is the interquartile range (IQR) of the data?
Is the graph increasing, decreasing, or constant?
Answer:
Decreasing
Step-by-step explanation:
Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .
Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.
PLATO
The point divides the line in the respective ratios. The correct matches are done.
What is division of line?When a point lies on the line such that is gets divided into the ratio is said to be the division of line.
The coordinates of point can be find out by the following formula.
x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n
For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.
Substituting the values, we get
-3.6 = 2x₂ +3x₁ / 2+3 and -3.4 = 2y₂ +3y₁ / 2+3
2x₂ +3x₁ = -18 and 2y₂ +3y₁ = -17
The above equations are satisfied by the points A(-2,-1) and B (-6,-7)
For, Point C(4, 1.6) divides in the ratio 3 : 2.
Substituting the values, we get
4 = 3x₂ +2x₁ / 2+3 and 1.6 = 3y₂ +2y₁ / 2+3
3x₂ +2x₁ = 20 and 3y₂ +2y₁ = 8
The above equations are not satisfied by any of the points.
For, Point C(3.5, -2.5) divides in the ratio 1 : 7.
Substituting the values, we get
3.5 = 1x₂ +7x₁ / 1+7 and 1.6 = y₂ +7y₁ /1+7
x₂ +7x₁ = 28 and y₂ +7y₁ = -20
The above equations are not satisfied by any of the points.
For, Point C(8, 9) divides in the ratio 5 : 3.
Substituting the values, we get
8 = 5x₂ +3x₁ /5+3 and 9 = 5y₂ +3y₁ /5+3
5x₂ +3x₁ =64 and 5y₂ +3y₁ = 72
The above equations are satisfied by the points A (3,4) and B(11, 12).
For, Point C(-2, 5) divides in the ratio 2 : 6.
Substituting the values, we get
-2 = 2x₂ +6x₁ /2+6 and 5 = 2y₂ +6y₁ /2+6
2x₂ +6x₁ =-16 and 2y₂ +6y₁ = 40
The above equations are satisfied by the points A (-5,2) and B(7,14).
For, Point C(0,1) divides in the ratio 4 : 7.
Substituting the values, we get
0 = 4x₂ +7x₁ /4+7 and 1= 4y₂ +7y₁ /4+7
4x₂ +7x₁ = 0 and 4y₂ +7y₁ = 11
The above equations are satisfied by the points A (4,-3) and B(-7,8).
Thus, all the equations are joined with their satisfying points.
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PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
A flower bed in your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 14 feet and 11 feet. Calculate the area of the flower bed.
The area of the flower bed is 77 square feet
How to determine the area?The given parameters are:
Shape = TrianglePerpendicular sides = 14 feet and 11 feetThe area of the flower bed is calculated as:
Area = 0.5 * Product of perpendicular sides
So, we have:
Area = 0.5 * 14 * 11
Evaluate
Area = 77
Hence, the area of the flower bed is 77 square feet
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Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. the spinner is spun two times. the number of possible outcomes is 16. how many sections is the spinner divided into? 2 4 8 16
By counting the total number of outcomes, we conclude that the spinner has 4 sections.
How many sections does the spinner has?Let's say that the spinner has N sections.
If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.
Then for the experiment of spinning the spinner twice, the number of outcomes is:
O = N*N
And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:
16 = N*N = N^2
Solving for N, we have:
N = √16 = 4
Then we conclude that the spinner has 4 sections.
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Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
Given:
Charles has $50.00 (total)Charles spent 1 / 4 on a gift card (spent means subtract from total)Charles spent 5 / 8 on a new wallet (spent means subtract from total)Required:
The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?Analysis:
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
Solution:
x = 50 - 1/4 - 5/8
1/4 of 50 is 50 / 4 = 12.5x = 50 - 12.5 - 5/8
5/8 of 50 is 50/8 = 6.25 this is 1/8 of the pricethan multiply by 5 to get 5/8, 6.25 x 5 = 31.25x = 50 - 12.5 - 31.25
x = 6.25
Statement:
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t; t = −1
The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.
How to calculate the tangent of the parameter curves at a point?The curves are given below.
x = t⁵ + 1 and y = t⁶ + t
Then differentiate the functions with respect to t, then we have
[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex] ...1
and
[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex] ...2
Divide equation 2 by equation 1, then we have
[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]
Then the slope of the equation at t = −1, then we have
dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]
dy/dx = (-6+1)/5
dy/dx = -5/5
dy/dx = -1
Then the equation of the tangent line will be
y = -x + c
x + y = c
Where c is a constant.
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Using a volume of 20000 and an angle of 10 can you find the base and height of a right triangular prism
Answer:
No, I don't think so....
Step-by-step explanation:
Volume = 1/2 * Base * Height * Length
Height = Base * tan 10
The underlined items you have,but there is still 2 unknowns and only one equation to solve them <===== so I think you need one more piece of the puzzle to solve.... either the base or the length of the prism.
This net folds into the cube shown beside it. On the cube, which letter will be on the side opposite D?
B
A
E
C
The letter that will be on the side opposite D is letter B
How to determine the letter?The attached image represents the missing piece in the question
The opposite sides of a cube always have a face in between them, when represented as a net.
From the attached image, the adjacent sides are:
A B C D
F C E
The opposite sides as represented above are;
A and C
B and D
F and E
Hence, the letter that will be on the side opposite D is letter B
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Select the correct answer.
Consider the function given below.
f(x)= |x-51 +2
Which of the following statements about the y-values of the graph of the function is true?
OA. The y-values are all less than or equal to 5.
B.
The y-values are all greater than or equal to 5.
OC.
The y-values are all less than or equal to 2.
D.
The y-values are all greater than or equal to 2.
Answer: The correct answer is D.
Step-by-step explanation: A and B are incorrect because you can plug in 5 for x to get 2, and there are multiple values that can be greater than 5. C is incorrect because you cannot reach lower than 2. Therefore, the correct answer is D.
The y values are all greater than or equal to 2.
The correct option is D.
Given,
Function : f(x) = |x − 5| + 2
Here,
A function is a law that relates a dependent and independent variable.
The function is
f(x) = |x − 5| + 2
The domain of the function is all negative and positive integers.
The range is all the possible function values, the function value will always be greater than or equal to 2.
At x = 5 , f(x) = 2
Therefore, the y values are all greater than or equal to 2. The correct option is D.
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You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay
Let's calculate the surface of the ABC triangle from the image if the area of the triangle DBC is 40 square unit,| BC| = 8i| AB| = 14. Corners marked in the image are compliant.
ANSWER: 122.5 square
Answer:
122.5 squared
Step-by-step explanation:
bahh have have aheve shaved she sbdnabd sjsbd akdbd
mi
pie
In the following diagram, BC is parallel to DE.
What is the measure of Zz?
Angles are not necessarily drawn to scale.
B
C
4
103°
A
D
F
La=
42°
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
Simplify the algebraic expression by combining like terms. -7x² +19x²
Simplify your answer.
How to remember nagative exponents how to solve nagative exponents
To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
How are negative exponent calculated?To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
[tex]a^{-n} = \frac{1}{a^{n} }[/tex]
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]
Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]
= 9
Here, 9 is the answer of the above example.
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Vertical angles are equal in measure.
Osometimes
Onever
O always
The vertical angles are always equal in measure.
What is Vertical Angle?Vertical angles are angles opposite each other where two lines cross.
Here, As given in definition
All the vertical angles are always equal with each other.
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Reuben attached a wire between two poles on a hill as shown which is the closest to x the distance between the two poles
The closest to x the distance between the two poles is gotten as; x = 75 ft
How to utilize trigonometric ratios?
From the Brainly link attached, we can see the diagram and we can say that;
We are given a right angled triangle with;
A known angle of; θ = 20°
Length of the hypotenuse = 80
Now, we want to find the length of the base x. Thus, we will use trigonometric ratio to get;
cos θ = x/hypotenuse
Thus;
cos 20 = x/80
x = 80 cos 20
x = 75.17 ft ≈ 75 ft
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solve for x
4x + 9
16x - 9
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
My little brother lost a tooth at school and came home with a cube-shaped tooth box has an area of 24 cm. What is the volume of the box?
Answer:
8 cubic cm
Step-by-step explanation:
6 * ( L square ) = 24
L= 2
then
v= l cube
= 2*2*2
=8
Cual es la regla de la sucesion de 1,4,7,10,13,16,19,
Given, a = 1
common difference = 3
Eighth term = a+(n-1)d = 1+(8-1)3
= 1 + 21 = 22
Hope this helps :)
what is the equation of the line that contains point (2, -6) and has a slope of -2
y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10
Answer:
y=-2x+10
Step-by-step explanation:
i graphed it i graphed all of them
Answer:
y-2x-2
Step-by-step explanation:
The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.
We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].
Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]
Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]
Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]
Hope this helps! :)
help pls im being timed i cant do mathhh
hi I need help answering this question please worth 20 points
question is : how many people went on the fishing trip ?