Answer:radius is 6,height is 4
Step-by-step explanation:
The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
Select all ordered pairs that could be used to show that this claim is incorrect.
(–9, –6)
(1, 12)
(–10, –10)
(4, 7)
(–5, 1)
Given:
The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
To find:
All the ordered pairs that could be used to show that this claim is incorrect.
Solution:
We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.
A relation is called function if there exist a unique output for each input.
If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.
If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.
If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.
Therefore, the correct options are (a), (b) and (e).
Complex Numbers
[tex]\frac{-1-2i}{-2+i}[/tex]
The bells are adding a new room to their house. The room will be a cube with volume 8,000 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
Answer:
$4000
Step-by-step explanation:
Given that :
Volume of cube = 8000 ft³
Charge per ft² = $10
Recall, volume of a cube = a³
Where a = edge
Hence,
a³ = 8000
Take the cube root of both sides
a = 20
Hence,
Volume = 20 * 20 * 20
The Area of the floor will be :
20 * 20 = 400 ft²
If charge per ft² = $10
400 ft² = ($10 * 400) = $4000
What are the slope and the y-intercept of the linear function that is represented by y=9x-2 . PLEASE HURRY!
Answer:
The correct answer is c.
the slope is 9
y intercept is -2
Step-by-step explanation:
When you right the equation it is in slope intercept form in which m and y are whole numbers
Help with this question
Answer:
10 erasers
Step-by-step explanation:
Basically we know she bought a pencil for $1.75 so we can take that off of $4.25 giving us $2.50 we can then divide that by $0.25 which gives us 10
Select the better deal in the pair. Then give the unit rate for the better deal.
$81÷25gal or $62.05÷20gal
A:First
B Second
Then the unite rate with the better deal is $_____/gal
Answer:
its the first one and its 3.24
Solve for x. Round to the nearest TENTH.
Answer:
x ≈ 63.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangle Only] SOHCAHTOA[Right Triangle Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle = x°
Opposite Leg = 17
Hypotenuse = 19
Step 2: Solve for x
Substitute [sine]: sinx° = 17/19Trig inverse: x° = sin⁻¹(17/19)Evaluate: x = 63.4746Round: x ≈ 63.5°Answer:
I want to say that X= 62.8 or 63 17/19= 0.89 arcsin= 62.8 rounded 63
Step-by-step explanation:
Who knows how to do this I TRULY NEED HELP
Answer:
sorry i cant help , not smart enough ,but i wish i was tho
Step-by-step explanation:
HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!
Answer:
97
Explanation:
Buddy- 6
Hermey-3
____________________________________________________________
It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!
6+94=100 years old!
3+94= 97 years old!
Answer:
He is going to be 50 years old
Step-by-step explanation:
if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50 because that would be half. You can divide it if you want some extra proof :)
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!
[tex]distance = | \frac{2 - ( - 1)}{ \sqrt{ { (\frac{ - 1}{4} )}^{2} + {( - 1)}^{2} }} | \\ = \frac{1 2\sqrt{17} }{17} \\ = 2.9[/tex]
Lima beans $2.13 for 2 lb
Answer:
i think its $1.07 per pound.
Step-by-step explanation:
5e^(x+2)-8=14
Solve for x
Answer: x=−0.518396
Step-by-step explanation:
Answer:
[tex] x=\ln (4.4) - 2 [/tex]
Step-by-step explanation:
[tex] 5e^(x+2)-8=14 [/tex]
[tex] 5e^(x+2)=22 [/tex]
[tex] e^(x+2)=4.4 [/tex]
[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]
[tex] x+2=\ln 4.4 [/tex]
[tex] x=\ln (4.4) - 2 [/tex]
Graph 1/4x+y=3. Please I need it ASAP
Answer:
how am i supposed to make a graph on that
Step-by-step explanation:
Answer:Here
Step-by-step explanation:
Which expression is equal to 8?
A. 25-22
B. 25.22
C. 8-3.82
D. 83.82
Answer:
D I guess is the answer for the question
A gyroscope of radius 18 centimeters rotates 35 times per minute. Find the linear velocity of a point on the edge of the gyroscope.
In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:
(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min
What is the equation of the line through (4, -3) and (0, -2)?
A. y = 4x + 2
B. y=-4x - 2
C. y = -12- 2
D .y= 4x + 2
John bought 12 items from the concession stand. He bought cokes and nachos for his friends. Cokes cost $2.50 each and Nachos cost $3.50 each. He spent a total of $37. How many Nachos did he buy?
Answer: He bought 7 nachos.
Step-by-step explanation:
Let x= Number of cokes
y = Number of nachos
As per given , we have
x+y=12 (i)
2.50x+3.50y=37 (ii)
Multiply 2.5 on both sides of (i), we get
2.5x+2.5y= 30 (iii)
Subtract (iii) from (ii), we get
y=7 (iv)
Put value of y from (iv) in (i), we get
x+7=12
⇒ x= 12-7
⇒ x=5
Hence, he bought 5 cokes and 7 nachos.
gabriel has 6 2/3 of almond flour to make macaroons. he plans to make a recipe that uses 3/4 of a cup of almond flour. what is the greatest number recipes he can make?
Answer:
8 cups max
Step-by-step explanation:
3/4 cup = 1 recipe
6 2/3(20/3) cup = 20/3 x 1
3/4
= 20 / 3
3 4
= 20 x 4
3 3
= 80/9
= 8 cups max
the 9th cup will not be enough.
The points (-4, 3) and (4, r) lie on a line with slope 1/2
Find the missing coordinate r.
Answer:
7
Step-by-step explanation:
8 units separate -4 and 4
8 divided by 2 (which is the x of slope) is four
Four times 1 (which is y of slope) equals four
3+4 equals seven
(4,7)
Mose decides to launch a rocket out of the barn at Schrute farms. The equation below represents the height (in meters), of the rocket getting launched above the ground, t seconds after the rocket is launched. h(t) = -.4 (t - 2)^2 + 5 How high above the ground is the rocket before it is launched?
Height at an instance of time is given by :
h(t) = -4( t - 2 )² + 5 .....1
Differentiating above equation with respect to t .
[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]
Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .
8( t - 2 ) = 0
t = 2
Putting value of t = 2 in given equation, we get :
h( 2 ) = -4( 2 - 2 )² + 5
h( 2 ) = 5 m
Therefore, maximum height rocket can reach is 5 m.
What is the slope of the line in the graph?
what is mode and what is mean and median#
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set
Step-by-step explanation:
For f(x)= 2x-15 ,find f(x) when x=-4
I just need some help on this question.
What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
To know more about permutations follow
https://brainly.com/question/1216161
#SPJ2
Enter the approximate value of [tex]2\sqrt{29}[/tex] to the nearest tenth.
Answer:10.8
Step-by-step explanation:
10.8
Step-by-step explanation:
We got the same question in math that was the answer.
simplify 5 radical -24
Answer:
= 10root6 i
Step-by-step explanation:
= 5 • 2root6 i
= 10root6 i
PLEASE HELP! I need this fast!
The quadratic equation y = 2(x + 3)^2 - 1 is written in vertex form.
True or false
Answer:
Yes
Step-by-step explanation:
vertex form is y=a(x-h)^2+k
Answer:
True.
Step-by-step explanation:
The quadratic equation [tex]y=2(x+3)^2-1[/tex], is in fact written in vertex form.
Vertex Form = [tex]y=a(x-h)^2+k[/tex]
[tex]a=amplitude[/tex]
[tex]h=horizontal shift[/tex]
[tex]k=vertical shift[/tex]
Bananas are curved because they grow towards the sun ☀️
Answer:
14776.8
Step-by-step explanation:
Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do
x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley
Can somebody help outtt ?? pleasee
Answer:
y=71
x=109
Step-by-step explanation:
Help me please
Hurry!!!!!