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
8(2x - 9) = 4(5 + 4x) solve for x
Answers
Answer:
No solutions
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Distribute the 8
16x - 72 = 4(5 + 4x)
Distribute the 4.
16x - 72 = 20 + 16x
Add 72 to both sides
16x = 92 + 16x
Subtract 16x from both sides
0 = 92
0 does not equal 92 therefore there are no solutions
Answer:
No solution
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Simplify
8(2x−9).
Start simplifying.
0+0+8(2x−9)=4(5+4x)
Simplify by adding zeros.
8(2x−9)=4(5+4x)
Apply the distributive property.
8(2x)+8(−9)=4(5+4x)
Multiply 2 by 8.
16x+8(−9)=4(5+4x)
Multiply 8 by −9.
16x−72=4(5+4x)
Simplify
4(5+4x).
Apply the distributive property.
16x−72=4×5+4(4x)
Multiply 4 by 5.
16x−72=20+4(4x)
Multiply 4 by 4.
16x−72=20+16x
Move all terms containing x to the left side of the equation.
Subtract 16x from both sides of the equation.
16x−72−16x=20
Combine the opposite terms in
16x−72−16x.
Subtract 16x from 16x.
0−72=20
Subtract 72 from 0.
−72=20
Since −72 ≠ 20, there are no solutions.
Hope it is helpful...If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza
Answers
Explanation: because 1/2 a can of sauce covers 3/4 of the pizza, you still need 1/4 of the pizza covered. 1/4 if 1/3 of 3/4. That means you need an additional 1/3 of the 1/2 can of sauce - 1/3 of 1/2 is 1/6. So, if we add the original 1/2, which is equal to 3/6, with the additional 1/6, we get 4/6. 4/6 can be simplified to 2/3. I’m not sure if I’m right cause I’m bad at math but you could give it a try. :)
Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y
O y = IxI- 3
O 3x + 4y = 8
O 4x - 3y + 2 = 8x-5y+12929
Answers
Step-by-step explanation:
if you use the online graphing calculator it will help you
Solve for x in this equation.
7^3x-17 = 49^x
Answers
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
Write in exponential form: 7^3x-17 = 7^2x
3x-17=2x
-2x -2x
————-
X=17
How many kilograms are equivalent to 5 pounds?
Answers
Answer: the answer is 2.25 kg
Step-by-step explanation:
32% of a number is 64 what is the number
Answers
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?
Answers
Answer:
This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.
Step-by-step explanation:
Answer:
Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.
Step-by-step explanation:
You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answers
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
Answers
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Luis wants to change companies for his phone service. Company SaveMore charges $16 for the initial service plus $0.20 for every 1 text of use.Write an equation that represents the cost of the service, with the cost of the constant number of text, t added After how many texts will the two companies be the same charge for the service?
Answers
Answer:
[tex]y = 16 + 0.2t[/tex] --- the equation of SaveMore company
Step-by-step explanation:
Given
SaveMore
[tex]Initial = 16[/tex]
[tex]Additional\ Rate = 0.20[/tex]
Required
Determine the equation
Let
[tex]y \to cost[/tex]
[tex]t \to texts[/tex]
So, we have:
[tex]y = Initial + Additional\ Rate * t[/tex]
[tex]y = 16 + 0.20 * t[/tex]
[tex]y = 16 + 0.2t[/tex]
The equation for the second company is not given. So, the (b) part cannot be correctly answered.
A general solution to the (b) part is:
Assume the equation is:
[tex]y = 10 + 0.4t[/tex]
Next, we equate both
i.e.
[tex]y = y[/tex]
This gives:
[tex]16 + 0.2t = 10 + 0.4t[/tex]
Collect like terms
[tex]0.4t - 0.2t = 16 - 10[/tex]
[tex]0.2t = 6[/tex]
Divide by 0.2
[tex]t = 30[/tex]
Hence, the charges will be the same after 30 texts
in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?
Answers
Answer:
I got 53% but I'm not sure
Step-by-step explanation:
if 53% of students take the bus, then 47% of students DON'T.
25% (the percent of non-riding students who were late) of 47 is about 53%
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answers
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
The evolutionary pathways of ten different species are represented in the diagram below. SA Which two species are the most closely related?
E and I
G and J
A and F
O and D
Answers
Answer:
I don't see an O in the picture at all.
but here's how you solve it: just count the nodes between the species, the fewer the closer
I would go for E and I, only one step between them
x=3, and y=-4: -5(x-2) + 3y
Answers
Answer:
-17
Step-by-step explanation:
Substitute 3 for x and -4 for y
-5(x-2) + 3y
-5 ( 3 - 2 ) + 3 * -4
-5 * 1 + 3 * -4
-5 - 12
-17
tan145+tan85/1-tan145*tan85 as asingle funciton
Answers
Answer:
Step-by-step explanation:
Tan 145 = - 0.7002
Tan 85 = 11.43
Tan 145 + tan 85 = 10.7298
1 - tan(145)* tan(85) = 9.003
(Tan(145) + Tan(85)) / (9.003)
= 10.73 / 9.003
= 1.1918
I misread the question. If you mean
(Tan145+tan85) /1-tan145*tan85 (brackets are really important here)
then the answer is
Tan(145 + 85)
= Tan(230)
= 1.1918
¿Numeros entre 0,1 y 0,5?
Answers
Answer:
0.2
0.3
0.4
Step-by-step explanation:
these two questions plzz help mee
Answers
There is a 15% chance it will snow and a 15% chance it will rain. What is the probability that it will be a dry day (meaning that it will neither snow nor rain)? HELP PLS
Answers
Answer:
70%, obviously
Step-by-step explanation:
15 + 15 = 30, 100 - 30 = 70
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
Answers
How will she know if 5(3x – 6) is equivalent to 15x – 30?
Answers
Answer:
By distributing the parenthesis
Step-by-step explanation:
Given
5(3x - 6) ← multiply each term in the parenthesis by 5
= 15x - 30 ← as required
Find a round to the nearest tenth a 150 12 10cm c a=?cm
Answers
Answer:
[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!I NEED THIS ANSWER PLEASE LAST QUESTION FOR EXAM PLEASE SHOW WORK
Answers
Answer:
x = 8
Step-by-step explanation:
b². b⁵ = b¹⁵/ bˣ
b²⁺⁵ = b¹⁵⁻ˣ
2 + 5 = 15 - x
7 = 15 - x
x = 15 - 7
x= 8
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2
pls hurry
Answers
what is the relationship between vectors u={1,0} and v={0,-3}?
Answers
Answer: Hi, your answer would be
C) The vectors are orthogonal because the angle between them is 90°.
please help !!! 5 minutes !!!
Answers
Answer:
Step-by-step explanation:
2 is the correct answer
Answer:
4
Step-by-step explanation:
The answer is the LCM of all the denominators (Least Common Multiple)
All the denominators: 4, 2, 4
The LCM of this set of denominators is 4.
The answer is 4.
Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]
[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answers
Answer:
n(n+1)
This is the answer I know
Math help please urgent
Answers
Answer:
area of circle is 2πr²
= 2 x 3.14 x 8 x 8
= 402 cm
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Answers
Answer:
Volume of water remaining in Abigail's cup = 25.12 cm³
Step-by-step explanation:
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi
Volume of a cone cup = πr²h/3
Radius, r = 3 cm
Height, h = 8 cm
Pi, π = 3.14
Volume of a cone cup = πr²h/3
= (3.14 * 3² * 8) / 3
= (3.14 * 9 * 8) / 3
= 226.08 / 3
= 75.36 cm³
Abigail sloshes 2/3 of the water out of her cup.
What is the volume of water remaining in Abigail's cup
Volume of water Abigail slosh = 2/3 of 75.36 cm³
= 2/3 * 75.36
= 150.72 / 3
= 50.24 cm³
Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh
= 75.36 cm³ - 50.24 cm³
= 25.12 cm³
Volume of water remaining in Abigail's cup = 25.12 cm³
Answer:
25.12
Step-by-step explanation:
I checked in khan
Any answers for this question
Answers
Step-by-step explanation:
hear is your both answer
[tex](5^{3})^{-3}[/tex] pls
Answers
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]