Answers
Given:
The table of value and y is inversely proportional to square of x.
To find:
The value of c and d.
Solution:
It is given that y is inversely proportional to square of x. So,
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=k\dfrac{1}{x^2}[/tex] ...(i)
Where, k is the contant of proportionality.
From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get
[tex]4=k\dfrac{1}{3^2}[/tex]
[tex]4=\dfrac{k}{9}[/tex]
[tex]4\times 9=k[/tex]
[tex]36=k[/tex]
Putting [tex]k=36[/tex] in (i), we get
[tex]y=36\dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{36}{x^2}[/tex] ...(ii)
Putting [tex]x=5,y=c[/tex] in (ii), we get
[tex]c=\dfrac{36}{(5)^2}[/tex]
[tex]c=\dfrac{36}{25}[/tex]
Putting [tex]x=d,y=2[/tex] in (ii), we get
[tex]2=\dfrac{36}{d^2}[/tex]
[tex]d^2=\dfrac{36}{2}[/tex]
[tex]d^2=18[/tex]
Taking square root on both sides, we get
[tex]d=\pm \sqrt{18}[/tex]
[tex]d=\pm 3\sqrt{2}[/tex]
Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].
Answer:
8.238
Step-by-step explanation:
it might not be right, but it was not fast either XDDD
dang, i took to long to tell u
:)
Related Questions
Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?
Answers
Answer:
45ml
Step-by-step explanation:
10 kg needs 18mL
So, 1kg = 1.8ml
25kg needs = 1.8kg/ml x 25 kg
25 kg dog would need 45ml.
Answer:
45 ml
Step-by-step explanation:
Weight of the dog and quantity of medicine is in Direct proportion.
Let the quantity required for 25 Kg dog =x
10 : 18 :: 25 : x
Product of extremes = product of means
10 * x = 18 * 25
[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]
HELP ME PLEASE
find the volume???
Answers
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answers
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answers
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
1025 + 503 – 1412 – 7
Answers
The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm
Answers
Answer:
r≈5.09cm
Step-by-step explanation:
Divide using long division! Show your work. As soon as possible!
Answers
Answer:
Step-by-step explanation:
if you've any doubt just ask :)
Use the Fundamental Counting Principle to find the number of outcomes from tossing a quarter, a dime, and a nickel.
Answers
Answer:
aaaaaaaaacvvrcgb
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answers
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
Will give brainlist!!
Answers
Answer:
B
Step-by-step explanation:
Have a wonderful day
The answer Is B
how do you do the probability section?
Answers
Step 2: Divide your answer in step 1 by the total figure. ...
Step 3: Identify which event happened first (i.e. find the independent variable).
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answers
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
Te diagonal of a kite will form a parallelogram.
explanation:
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
hope it helps
Mark me as brainlist
determine the equation of the circle graphed below .
( help please )
Answers
Answer:
(x+5)²+(y+7)²=4
Step-by-step explanation:
just count it
Calculate the volume of a cone with: 11cm height and 6cm radius
Answers
Answer:
volume=1243.44 cm^3
Step-by-step explanation:
volume of a cone=πr^2h
=3.14*(6)^2*111
=3.14*36*11
=1243.44 cm^3
Answer:
V=414.69cm³
Step-by-step explanation:
use v=πr²h/3
pie is 22/7 so when you fix in your values you will get the answer
Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?
Answers
Answer:
1.42
Step-by-step explanation:
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answers
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
PLEASE HELP
I REALLY NEED ALOT OF HELP
Answers
Answer:
i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3
Step-by-step explanation:
Work out the size of angle X
Answers
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answers
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
Answers
which expression are equivalent to the given expression square root of 40
Answers
Answer:
2√10
Step-by-step explanation:
√40 = √(2 × 2 × 2 × 5) = 2√10.
what is 345% written in decimal form? i really need help :( thanks if u can!!
Answers
So 1.0 x 3 is essentially 300% plus 0.45
Therefore, 3.45=345%
Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers
Answers
Answer:
34 and 36
Step-by-step explanation: 7 1 17 15
product of two consecutive even integer x(x+2) x is even
product of two consecutive even integer x(x + 2) plus 36 equal 18(x +x + 2)
x(x+2) + 36 = 18(x +x +2)
x² + 2x + 36 = 18x + 18x + 36 36's cancel, 2x - 36x = -34x
x² - 34x = 0 solve for x
x( x - 34) = 0 x = 0 and 34 only 34 is an even number!
x = 34 and 36
franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4
Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?
Answers
Answer:
Step-by-step explanation:
1/4
SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.
Answers
Answer:
201.06
Step-by-step explanation:
A=2πrh+2πr2
Hope it is correct
I need help with this question please
Answers
Answer:
angel BAC=CBD
BAC=43°because CBD also 43°
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answers
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
Answers
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
