Answer:
A and E
Step-by-step explanation:
The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).
It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.
The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.
Because it is not a function, Options B, C, and D are invalid answers.
Hence, the correct answers are Options A and E.
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth.
A sphere with radius 4.8 yards.
a.
260.444 cu. yd
b.
3704.095 cu. yd
c.
96.461 cu. yd
d.
463.012 cu. yd
Answer:
D
Step-by-step explanation:
Formula
V = (4/3) pi * r^3
Givens
r = 4.8 years
pi = 3.14
Solution
V = (4/3) * pi * 4.8^3
V = (4/3) * pi * 110.592
V = 1.333*3.14 * 110.592
V = 463.11
Answer
D
Graph the function y=2-VX+1. What is the missing x-coordinate for the point (x,- 1.24), to the nearest tenth?
06.1
07.3
O 8.4
0 9.5
Answer:
It's 0.61
Step-by-step explanation:
I graphed the equation and got 0.61 on the x axis when the y value was 1.24
The missing x-coordinate is 9.5. The correct answer is option D.
What is a function?
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function \(y = 2 -\sqrt{x+1}\) and the point are ( x, -1.24 ). Put y = -1.24 in the given equation to get the value of x.
\(y = 2 -\sqrt{x+1}\)
\(-1.24 = 2 - \sqrt{x+1}\\-1.24 - 2 = \sqrt{x+1}\\-3.24 = \sqrt{x+1}\)
Squaring on both sides.
\((-3.24)^2 = (\sqrt{x+1})^2\)
10.5 = x + 1
x = 9.5
Hence, the correct option is D.
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3. find the distance of the line segment with the given end points (5, 1) and (-8, 3)
Answer:
\( \boxed{ \bold{ \huge{ \tt{ \sqrt{173 \:}} \: units}}} \)
Step-by-step explanation:
\( \star{ \tt{ \: \: Let \: the \: points \: be \: A \: and \: B}}\)
\( \star{ \tt{ \: Let \: A ( 5 , 1 ) \: be \: ( x1 ,\: y1
) \: and \: B ( -8 , 3 ) \: be \: ( x2 , y2 )}}
\)
\( \sf{ \underline{ finding \: the \: distance \: between \: these \: points}}\)
\( \boxed{ \underline{ \underline{ \tt{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}\)
\( \hookrightarrow{ \tt{ \sqrt{ {( - 8 - 5)}^{2} + {(3 - 1)}^{2} } }}\)
\( \hookrightarrow{ \tt{ \sqrt{ {( - 13)}^{2} + {(2)}^{2} } }}\)
\( \hookrightarrow{ \tt{ \sqrt{169 + 4}}} \)
\( \hookrightarrow{ \boxed{ \tt{ \sqrt{173} \: \: units}}}\)
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
(x₁ , y₁) = (5 , 1) & (x₂ , y₂) = (-8 , 3)
\(Distance = \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}\\\\ =\sqrt{(-8-5)^{2}+(3-1)^{2}}\\\\=\sqrt{-13)^{2}+2^{2}}\\\\=\sqrt{169+4}\\\\=\sqrt{173}units\)
triangle IJK with vertices I(-9,-8),(J-5,-6), and K(-7,-3), is drawn on the coordinate grid below. what is the area in square units of triangle IJK
First, we have to calculate the length of each side using the distance formula.
Given two points (x1, y1) and (x2, y2) the distance between them is computed as follows:
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)Segment IJ: I(-9, -8) and J(-5,-6)
\(\begin{gathered} IJ=\sqrt[]{(-5-(-9))^2+(-6-(-8))^2} \\ IJ=\sqrt[]{16+4^{}} \\ IJ=\sqrt[]{20^{}}\approx4.47 \end{gathered}\)Segment IK: I(-9, -8) and K(-7,-3)
\(\begin{gathered} IK=\sqrt[]{(-7-(-9))^2+(-3-(-8))^2} \\ IK=\sqrt[]{4+25} \\ IK=\sqrt[]{29}\approx5.39 \end{gathered}\)Segment JK: J(-5, -6) and K(-7,-3)
\(\begin{gathered} JK=\sqrt[]{(-7-(-5))^2+(-3-(-6))^2} \\ JK=\sqrt[]{4+9} \\ JK=\sqrt[]{13}\approx3.61 \end{gathered}\)Using Heron's formula,
\(\begin{gathered} s=\frac{IJ+IK+JK}{2} \\ s=\frac{4.47+5.39+3.61}{2} \\ s=6.74 \end{gathered}\)\(\begin{gathered} \text{Area}=\sqrt[]{s\cdot(s-IJ)\cdot(s-IK)\cdot(s-JK)} \\ \text{Area}=\sqrt[]{6.74\cdot(6.74-4.47)\cdot(6.74-5.39)\cdot(6.74-3.61)} \\ \text{Area}=\sqrt[]{6.74\cdot2.27\cdot1.35\cdot3.13} \\ \text{Area}=\sqrt[]{64.65} \\ \text{Area=}8.04\text{ square units} \end{gathered}\)match each integer on the left with the probability on the right that it is the sum of the faces when two fair dice are rolled.
The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).
As given in the question,
Number of six sided fair dice rolled = 2
Total number of outcomes of each dice = 6
Total number of outcomes of rolling two six sided fair dice = 36
Outcomes are:
( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)
Sum of facing up dice add upto 3 are
( 1,2) , (2,1) only
Number of favorable outcomes = 2
Required probability = 2/36
= 1/18
Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).
The given question is incomplete, I answer the question in general according to my knowledge:
Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?
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1. Show that (a) exp(2±3лi) = -e²;
The given expression is proved above to its equivalent value.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is an exponential expression.
\($e^{(2\pm3\pi i)} = -e^{2}\)
We can write the given expression in two possible ways -
\($e^{2} e^{3\pi i}\) and \($\frac{e^{2} }{e^{3\pi i} }\)
Now, we know using the De - Moivre's theorem, we can write -
\($e^{i\theta} =\) cos(θ) + i sin(θ)
Now -
\($e^{3\pi i} =\) cos(3π) + i sin(3π) = - 1
So, we can write -
\($e^{2} e^{3\pi i}\) = - e²
and
\($\frac{e^{2} }{e^{3\pi i} }=\frac{e^{2} }{-1}\)
\($\frac{e^{2} }{e^{3\pi i} }=-e^{2}\)
Therefore, the given expression is proved above to its equivalent value.
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Thank you for the help!
Answer:
c 57
Step-by-step explanation:
y = 4x– 9 Complete the missing value in the solution to the equation. (3,_)
Answer:
4x= 3*4
im pretty sure
Step-by-step explanation:
Im pretty sure
2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
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If 4 dollars can be exchanged for 114.12 Russian rubles, how many Russian rubles can be obtained for 1500 dollars?
Answer:
42,795
Step-by-step explanation:
114.12/4=28.53
28.53x1500=42,795
Match each sum or difference with the correct simplified expression.
(x-5)-(x + 1)
(x-5)+ (x + 1)
(x-5)+ (x-1)
(x-5)-(x-1)
Intro
-4
2x-6
-6
2x-4
Answer:
Step-by-step explanation:
\((x-5)-(x + 1)=x-5-x-1=-6\)
\((x-5)+ (x + 1)=x-5+x+1=2x-4\)
\((x-5)+ (x-1)=x-5+x-1=2x-6\)
\((x-5)-(x-1)=x-5-x+1=-4\)
what percent is 25 of 100
if we take 25 to be the 100%, what is 100 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 100& x \end{array} \implies \cfrac{25}{100}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{1}{4}=\cfrac{100}{x}\implies x=400\)
Answer:
25
Step-by-step explanation:
25/100=.25x100=25
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
which of these steps will eliminate a variable in this system 6x - 3y = 8
23 + 6y = 16
The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.
What are system of equations?System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.
What is the method of elimination?For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.
6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)
Now are equations are
-12x + 6y = -16 and 23x + 6y = 16
subtracting eq 1 from eq 2 gives,
35x = 32 (Note that y has now been eliminated)
x = 32/35
Substituting this value of x in any one of the equations will then give the value of y to be -88/105
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idk ♂️............
Answer:
The Goblin shark lives deeper
Step-by-step explanation:
Since the angler fish is -3000, the goblin shark is farther away from zero, making it the correct answer.
Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 15 green cards in the deck. Cards will be drawn one at a time and then replaced in the deck before another card is drawn.
He uses the probability model to determine the probability of drawing a blue card or a red card.
What is P(blue or red)?
Enter your answer as a simplified fraction in the box.
Answer:
P = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
Answer:
its 2/3 i took the k12 test and got it right:
Step-by-step explanation:
here is proof:
What are the x intercepts
The x-intercepts are (4,0)(5,0) of the following graph.
What is x-intercepts?In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.
To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.
What is y-intercepts?In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.
To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.
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could you help me with this problem please
1. Using the quadratic formula
\(x=(-b\pm\sqrt{b^{2}-4ac})/2a\)
\(x=(-4\pm\sqrt{16-64} )/2\)
\(x=[-4\pm(-4\sqrt{3}i)]/2\\x=-2\pm2\sqrt{3}i\)
so, its c-Hunter
Answer:
\(x = -2 \pm 2i\sqrt{3}}\)
Explanation:
given quadratic sample: x²+4x+16=0
Quadratic formula: \(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)
Here a = 1, b = 4, c = 16 [ which are coefficients from ax²+bx+c ]
using the formula:
→ \(x = \frac{ -4 \pm \sqrt{4^2 - 4*1*16}}{2*1}\)
→ \(x = \frac{ -4 \pm \sqrt{-48}}{2}\)
→ \(x = \frac{ -4 \pm 4i\sqrt{3}}{2}\)
→ \(x = -2 \pm 2i\sqrt{3}}\)
Brent is designing a poster that has an area of 1 square foot. He is going to paste a photo collage on a section of the poster that is 1/3 foot wide and 3/5 foot long. What part of a square foot will the photo collage cover?
Show your work.
The part of the foot will the photo collage cover is 1/5 square foot
How to determine the photo collage cover?Recall that an area of a lawn is an area of soil-covered land planted with grasses and other durable plants such as clover which are maintained at a short height with a lawnmower (or sometimes grazing animals) and used for aesthetic and/or recreational purposes
The given parameters are
Area of the Poster =1 sq.ft.
The collage will cover a part of the poster that is
1/5ft wide and 3/5ft long
Area of the Photo Collage Section
=Length X Width
= 1/3 * 3/5
= 3/15 ft = 1/5foot
In conclusion, the photo cover will cover 1/5 of a square foot
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what is :
2x + 10 = ?
Answer:
x = -5
Step-by-step explanation:
2x = -10
x = -10/2
x = -5
Could use the help. Please and thank you.
Answer:
wag po lagi umasa sa brainly
The polygons are similar. Find the value of x.
Answer:
x = 19.5
Step-by-step explanation:
Given that Polygon HIJK is similar to Polygon PQRS, their corresponding lengths are congruent, also, the the ratio of the sides of HIJK to the corresponding sides of PQRS would be the same.
Thus:
\( \frac{HI}{PQ} = \frac{IJ}{QR} \)
HI = 15
PQ = 5
IJ = x
QR = 6.5
Plug in the values
\( \frac{15}{5} = \frac{x}{6.5} \)
\( 3 = \frac{x}{6.5} \)
Multiply both sides by 6.5
\( 3*6.5 = x \)
\( 19.5 = x \)
x = 19.5
WILL GIVE BRAINLEST 658 minus what equals 98?
Answer:
-560 is the answer
Step-by-step explanation:
658 - (-560 )= 98
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
658 - 560 = 98
Hope this helps!! :D
The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
During a sleepover, Jayden played karaoke with her friends. Her song was 5 minutes long. She had already sung for 2 minutes. Which equation could be used to see how much longer she will have to sing?
x + 2 = 5
x + 3 = 5
x − 2 = 5
x + 2 = 7
Answer:
A or #1: x+2=5
Step-by-step explanation:
There is an unknown amount of minutes left to sing, and we already know that she has sung for 2 minutes. so x+2. And we know that she is singing a 5 min. song, so the unknown value plus the 2 minutes we know she has already sung should add up to 5 mins.. So x+2=5 would be the correct answer.
please refer to the image
suppose that we have collected information on how much a sample of households spend on clothing per year. if we are 90% confident that the true population mean will lie between $1,500 and $2,100, the chance that the population mean will either be less than $1,500 or above $2,100 is %.
10% of the time, the population mean will go below $1,500 or exceed $2,100.
Given that,
Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.
We have to fill the blank.
We know that,
90% of the time, the real population mean will fall in the range of $1,500 and $2,100.
The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.
So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.
Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.
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Simplify the expression by combining like terms and distributing. −10(1−9x)+6(x−10)
A quadratic function has its vertex at the point ( 0 , − 4 ) . The function passes through the point ( − 5 , 10 ) . Find the quadratic and linear coefficients and the constant term of the function.
The quadratic equation will be;
⇒ y = 14/25 x² - 4
The linear coefficient = 0
The constant term = - 4
What is Quadratic equation?
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
A quadratic function has its vertex at the point ( 0, -4 ).
The function passes through the point ( − 5 , 10 ).
Now,
Since, A quadratic function has its vertex at the point ( 0, -4 ).
So, The equation we get;
⇒ y = a ( x - 0)² - 4
And, The function passes through the point ( − 5 , 10 ).
So, we substitute (x, y) = (-5, 10) , we get;
⇒ y = a ( x - 0)² - 4
⇒ 10 = a ( - 5 - 0)² - 4
⇒ 10 + 4 = 25a
⇒ 14 = 25a
⇒ a = 14 / 25
Thus, The quadratic equation will be;
⇒ y = a ( x - 0)² - 4
⇒ y = 14/25 x² - 4
⇒ y = 14/25 x² - 4
Therefore, The quadratic equation will be;
⇒ y = 14/25 x² - 4
The linear coefficient = 0
The constant term = - 4
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Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480
How long did it take Jason to reach his maximum height?
Answer:
5 seconds
Step-by-step explanation:
I did the same question a while ago.