Given:
Different relations in the options.
To find:
The relation which is a function.
Solution:
A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.
In option A, [tex]y=0,1, 2, 3[/tex] for [tex]x=4[/tex]. So, this relation is not a function.
In option B, [tex]y=8, 10[/tex] for [tex]x=10[/tex]. So, this relation is not a function.
In option C, [tex]y=6, -2[/tex] for [tex]x=-2[/tex]. So, this relation is not a function.
In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.
Therefore, the correct option is D.
The equation p = -30q+q2-400 cuts the x-axis at A(a,b) and B(c,d). Find the sum of a,b,c and d?
find the value of the trig function indicated
Answer:
[tex]\cos(\theta)=\frac{4}{5}[/tex]
Step-by-step explanation:
Step 1:
Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.
[tex]a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16[/tex]
We do know that a length can never be negative, so the side b would be 16.
Step 2:
According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:
[tex]\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}[/tex]
I hope this helps! Let me know if you have any questions :)
Part A
Select all true statements about rectangles.
A rectangle always has:
0
A
4 sides
В.
4 angles
C. all sides equal in length
D. all right angles
E opposites sides parallel
Part B
Answer:
A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel
Answer:
A, B, D, E
Step-by-step explanation:
A 4 sides
В. 4 angles
D. all right angles
E opposites sides parallel
Subtract. write the difference in simplest form (5n - 3) - (-2+7)
Matthew changes $770 into rupees. He receives 40 000 rupees.
How many rupees did he receive for each dollar?
Answer:
About 51.94 rupees (rounded).
Step-by-step explanation:
40000 / 770
What is the measure of
a. 64
b. cannot be determined
c. 32
d. 40
Answer:32
Step-by-step explanation:
Because it is isosceles triangle
2 side length are equal so the angles of these two will also be equal
find the surface area of each figure. round to the hundredths place
Given:
In the given cone,
Radius of the cone = 7.2 m
Slant height of the cone = 17 m
To find:
The surface area of the cone.
Solution:
The surface area of a cone is:
[tex]A=\pi rl+\pi r^2[/tex]
Where, r is the radius of the cone and l is the slant height of the cone.
Putting [tex]\pi=3.14,\ r=7.2,\ l=17[/tex] in the above formula, we get
[tex]A=(3.14)(7.2)(17)+(3.14)(7.2)^2[/tex]
[tex]A=384.336+162.7776[/tex]
[tex]A=547.1136[/tex]
[tex]A\approx 547.11[/tex]
Therefore, the surface area of the given cone is 547.11 square m.
Ram's salary is 20% more than Shyam's salary.By what percentage is shyam's salary less than that of Ram's
Please help, I'm about to have a breakdown and I just want to finish
Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies. Find the probability of selecting a nickel then a penny with replacing.
Your answer should be in fraction form.
Answer:
answer is 4.6666666....
Answer:
4.66 is the answer ok gshsjudh
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
learn more on angle on a straight line here: https://brainly.com/question/16025966
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
Solve for xx. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 58 degree as reference angle
using cos rule
cos 58=adjacent/hypotenuse
0.52=3.6/x
x=3.6/0.52
x=6.92
x=6.9
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Question 34 of 98
Five friends go to the movies. The price for each ticket is
$6.99. One person thinks the total for all five people will be
around $35.00.
Is this a reasonable estimate? Why?
A. Yes, a reasonable estimate is around 6 . $8 = $48.
B. Yes, a reasonable estimate is around 6. $7 $42.
C. No, a reasonable estimate is around 5 . $9 = $45.
D. Yes, a reasonable estimate is around 5 - $7 = $35.
Answer:
D. Yes, a reasonable estimate is around 5 - $7 = $35.
Evaluate the expression (ab)^2for a = 4 and b = 3.
Answer:
144
Step-by-step explanation:
Plug in a and b
In this case a=4, b=3
(ab)^2
( (4)(3) )^2
(12)^2
12x12
144
If this helps please mark as brainliest
Answer:
144
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
(ab)²
a = 4
b = 3
Step 2: Evaluate
Substitute in variables: [4(3)]²[Brackets] Multiply: 12²Exponents: 144i need help due today please help!!!!!!!!!
Answer:
228mm^2
Step-by-step explanation:
simplify -3i(4+2i)
CAN SOMEONE PLEASE HELP NOW
Answer:
6-12i
Step-by-step explanation:
pls help!! due in 20 min. if u respond just to earn points im reporting <3.
6. The distance between Dallas and Austin on a map is 1.5 centimeters. The map
uses a scale in
which 2.5 centimeters represents 300 miles. What is the actual distance
between these two
cities in miles?
Answer:
182 miles
driving distance is 196
use 3.14 for π round to the nearest tenth
Answer:
A=4pi(r)^2
A=4pi(5)2
A=4pi25
A=314.16 rounds to 314.6 m
Volume=4/3pi(r)^3
volume=4/3pi(5)^3
volume=4/3pi(125)
volume=523.59 rounds to 523.6 m
hope this helps
have a good day :)
Step-by-step explanation:
I need help with this problem. please help.
Answer:
it's D
Step-by-step explanation:
help me please!!!!!!!!!!!!!!!!!!!
Answer:
49
Step-by-step explanation:
Write the equation of the parabola in vertex form.
Answer: Hi! The answer is, y=-(x-2)^2
Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!
Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of the shop to be the expression of 3x + 23 and the width to be 2x + 17. Write a trinomial that would represent the area of the shop. Show your work
Answer:
A = 6x² + 97x + 391
Step-by-step explanation:
Given that,
The length of the shop, l = (3x+23)
The width of the shop, b = (2x+17)
The expression for the area of the shop is given by :
A = lb
Put all the values,
A = (3x+23) × (2x+17)
= 6x² +51x+46x +391
= 6x² + 97x + 391
Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.
Answers? Please Fast
:0..............................................:p......................................:).................................;(.................................:q
Find the numerical value of the log expression.
log a = 11
log b = -5
log c= 6
Refer to the attachment for answer...
The high temperature in Phoenix rose faster than the temperature in New Orleans.
true or false
Answer:
true hope this helped
Step-by-step explanation:
Please help me with i will mark brainliest
Answer:
125
Step-by-step explanation:
This can be simplified to sqrt(25) ^3
sqrt(25) is 5
(5*5) = 25
5^3 = 225
(5*5*5) = 125
Answer:
125
Step-by-step explanation:
[tex]\sqrt[2]{25^3} \\=25\sqrt[2]{25} \\=25*5\\=125[/tex]
Can someone plz help me on dis
Answer:
6cm squared
Step-by-step explanation:
1 x 2 = 2 cm
2 x 3 = 6 cm
6 cm squared
