How to find the constant rate of proportionality

Answers

Answer 1

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.


Related Questions

PLEASE HELP SERIOUSLYI WILL GIVE BRAINLEST AND 100 POINTS JUST ANSWER AND IT HAS TO BE RIGHT OR ELSE...



A culture is tested for bacteria and has 3.3 million bacteria. The culture is then tested every 10 minutes and each time it is tested there are 2.5 times more bacteria.

How many bacteria in millions will there be in the culture after 30 minutes?

Round to the nearest hundredth.


8.25

75.00

51.56

115.00

Answers

Answer:

C. 51.56 million

Step-by-step explanation:

Initial number of bacteria = 3.3 millionGrowth rate = 2.5 times per 10 minutesTime = 30 minutes = 3*10 minutes

Number of bacteria after 30 minutes:

3.3*2.5³ = 51.5625

Correct choice is C

Answer:

after 10 minute total bacteria=2.5×3.3=8.25 millions

in 1 minute total bacteria=2.5×3.3/10 =0.825millions

in 30 minute total bacteria=30×2.5×3.3/10 millions=24.75million is your answer.but i did not get any match.

How can we identify a proportional relationship on a graph?

Answers

Answer:

dsfsdfgdf

Step-by-step explanation:

a) in a right-angled triangle, if hypotenuse is 20 cm and the
ratio of the other two sides is 4:3, find the sides.​

Answers

Answer:

Step-by-step explanation:

Ratio = 4 :3

Other two sides = 4x , 3x

Pythagorean theorem

(4x)²  + (3x)² = 20²

16x² + 9x²  = 400

          25x² = 400

             x² = 400 ÷ 25

            x²  = 16

             x = √16

x = 4 cm

4x = 4*4 = 16

3x = 3*4 = 12

Sides = 16cm  , 12 cm

a store received two shipments one shipment contained 552 items and the other shipment contained 264 items which expression represents the total number of items the store received?​

Answers

Answer: 816, 81.6%, 0.816, or 81600

Step-by-step explanation:

552 + 264 = 816

81600 as a percent(81.6%)

0.816 as a decimal

102/125 as a fraction

The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
then walk 17 meters closer and measured the angle of elevation to be 38.3°. To the nearest meter,
how tall is Wave Rock?
You may not use Law or Sines to solve the problem.

Answers

Answer:

15 m

Step-by-step explanation:

Refer to attached picture

The height  = hAngles of elevation 22.6° and 38.3°Closer distance  = d

Use tangent to solve

tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)tan 38.3° = h/d          ⇒ h = d tan 38.3°           ⇒ h = 0.79d

Compare the equations above and find the value of d:

0.42(d + 17) = 0.79d0.42d + 7.14 = 0.79d0.79d - 0.42d = 7.140.37 d = 7.14d = 7.14/0.37d = 19.3 m

Now find the value of h:

h = 0.79dh = 0.79*19.3h = 15

Wave Rock is 15 m tall

What are the effects on the graph of y=x^2 caused by the values of a, h, and k in the function y=a(x-h)^2+k

Answers

y = 2  ( x −3 )  2  −8 is the correct answer to the question

What are the effects on the graph of y=x^2 caused by the values of a, h, and k in the function y=a(x-h)^2+k

Determine whether the following expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.

Expression: 7a2b+3b2

Polynomial? Answer

Degree? Answer


Terms? Answer


Name? Answer

leading coefficient:

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equations.

[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Answer:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Step-by-step explanation:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

How to evaluate 11/2

Answers

Answer-

in decimal from: 5.5

in mixed number form: 5 1/2

Translate this phrase into an algebraic expression. Six less than the product of 20 and a number

Answers

Answer:

20x-6

Step-by-step explanation:

20x-6

because the product of 20 and a number would be 20 multiplied by that number (in this case, we're representing that number with x), and it says six less than which means 20x subtracted by 6

Pls help should be easy for a high schooler!!! This is due in an hour pls help. It’s easy but hard for me! Worth points!!!! I need the most accurate answer. If able to solve this in an hour ur a life saver❤️

Answers

Shdjrdikskisjdjdjjdjdjjdjdjjdksjsjjsididiidisiieidiididiidiiieieieieieieiieieieiieiieidieiiei

2/4 ............. 3/6?

NONE OF THESE
EQUAL
GREATER THAN
LESS THAN

Answers

Answer:

these numbers are greater than not less than

Solve this and get 20 points

Answers

take x =initial deposit amount. then make equation:

x+75.5+55.25-25.15-18.65 = 210.85

simplify:

x+86.95 = 210.85

x=210.85 - 86.95

x=123.90

so Initial deposit amount is $123.90

check:  210.85+18.65+25.15-55.25-75.5 = 123.9

123.9 = 123.9

Which expression is equivalent to 28x – 17?
A. -7 (-4x - 10)
B. − 3 ( − 10 x + 3 ) − 2 ( x + 12 )
C. 1 4 ( − 8 x + 4 ) − 6 ( − 5 x + 3 )
D. 1 2 ( 60 x − 10 ) − 2 ( x − 6 )-
Please help!!

Answers

A= 28x+70
B= 28-33
C= 82x+38
D= 718x-108
none.
kidding i’m not sure but i’d say to just go with A?

solve the equation

5x-(2x-13)=40

Answers

Answer:

9

Step-by-step explanation:

open the bracket, you will have

5x-2x+13=40

collect like terms

5x-2x=40-13

3x=27

divide both side by 3

3x/3=27/3

x=9

Answer: 9

Step-by-step explanation:

5x-(2x-13)=40

Open bracket by -1

5x-2x+13. = 40

3x. = 40-13

3x. =. 27

Divide both sides by 3

x. = 27/3.

x. = 9

PLEASE IF YOU HAVE ANY MORE QUESTIONS PLEASE COMMENT BELOW.

f(x)=x+2
g(x)=3x^2-5

Find (f•g)(x).

Answers

Answer:

f (  [tex]x^{2}[/tex]+ 5 ) = 3[tex]x^{2}[/tex] + 13

Step-by-step explanation:

a metal pipe is 77 cm long the inner diameter of the cross section is 4 cm and the outer diameter is 4.8 cm find the (i) inner curved surface area (ii) outer curved surface area (iii) total surface area

Answer with full step by step explaination​

Answers

Answer:

Step-by-step explanation:

outer area=

first need to find the circumference of outer diameter

= π×4.8

= 15.079644.... cm

to find the outer curved area you would then do

= 77×15.079644

(ii) =1161.13264 cm²

inner curve area

circumference= π×4

=12.5663706.... cm

77×12.5663706

(i) =967.610537 cm²

total surface area=

as the outer and inner curved areas are already found only the top and bottom surfaces need to be

= area of larger circle

=π×4.8²

=72.382294.... cm²

smaller circle

=π×4²

=50.2654824.... cm²

72.382...-50.265

=22.1168116 x 2

=44.2336232 cm²

total surface area

(iii)= 2172.9768 cm²

(round this to however many decimals you need)

I hope this is understandable and useful!

also how many marks is this for?

Tell whether x and y are proportional.

Answers

Answer:

They're proportional

Step-by-step explanation:

y/x always equals 5

$862.00, 43% off
new price is $

Answers

Answer:

491.34

Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps

Answer:

$491.34

Step-by-step explanation:

Take $862 x .43 = 370.66

then you take 862.00 and subtact it by 370.66

then you get $491.34

9

Quadrilateral ABCD has at least one pair of opposite angles congruent. What types of quadrilaterals meet this condition?

A) Parallelogram

B) Rhombus

C) Rectangle

D) Square

E) Trapezoid

F) Kite (Diamond)

Answers

Answer:

A) Parallelogram

B) Rhombus

C) Rectangle

D) Square

Step-by-step explanation:

Quadrilateral ABCD has at least one pair of opposite angles congruent. What types of quadrilaterals meet this condition?

A quadrilateral is a 4 sided polygon or a shape that has 4 sides.

When we say opposite angles are congruent or means that they are similar or equal to each other.

Quadrilateral ABCD has at least one pair of opposite angles congruent. The types of quadrilaterals that meet this condition are:

A) Parallelogram

B) Rhombus

C) Rectangle

D) Square

Help please some one

Answers

Answer:42

Step-by-step explanation:

16+16+10

Help plsss!!!!! Urgent question now

Answers

Answer:

<1 and <3

Step-by-step explanation:

f(x)=4x^2 − 10x+2
Find f(−7)

Answers

Answer:

f(-7)=268

Step-by-step explanation:

f(-7)=4x^2 − 10x+2

f(-7)=4(-7)^2-10(-7)+2

f(-7)=4(49)+70+2

f(-7)=196+72

f(-7)=268

Answer:

198

Step-by-step explanation:

4(-7)^2+70+2

196+2=198

Line segments AB and CD are both part of the dame non-vertical line,and the slope of line segment AB is 6, hsing similar triangles,what can you show the slope of line segment CD to be?
A. -6
B. -1/6
c. 1/6
d. 6​

Answers

Answer:

6

Step-by-step explanation:


Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?

Answers

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

I give crown :---))))

Answers

Answer:

44 I think

Step-by-step explanation:

um if it's wrong sorry

Which equation could be solved using this application of the quadratic formula?
-2 + 22 – 4(1)(-4)
2(1)
I

Answers

Answer:

C. x^2 + 2x - 1 = 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where the formula has -b, the problem has -2, so b = 2.

Now we have

ax^2 + 2x + c = 0

In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.

Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   This is not it!

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     This is not it!

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     This is it!

Answer: C. x^2 + 2x - 1 = 3

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is  [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Quadratic formula

The quadratic formula is used to find the roots of a quadratic equation.

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

According to the question

[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]

We all know the quadratic formula for finding the factors of a quadratic equation

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

By comparing two formulas we get a = 1, b = 2, c = -4

Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]

Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation

⇒ [tex]x^{2} +2x-4=0[/tex]

We can write it as

⇒ [tex]x^{2} +2x -1=3[/tex]

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

Find out more information about quadratic formula here

https://brainly.com/question/2236478

#SPJ2

Pleas helppp its due soon

Answers

Answer:

D

Step-by-step explanation:

I dont think this needs explained

Answer:

The last option, it is greater than the distance from the Movie Theater to the Arcade

Step-by-step explanation:

Distance from food court to store is 6 units

Distance from movie theater to arcade is 5 units

5x – 4y < 20
Can someone help me graph please

Answers

Answer:

i cant show you how to but use desmos graphing calculator, copy and paste that equation and it will do it for you

Step-by-step explanation:

9. The functions f and g are such that
f(x) = 3(x – 4) and g(x) = x/5+1
a) Find the value of f(10)
b) Find g-'(x)
c) Show that ff(x) = 9x - 48​

Answers

Answer:

a) f(10) = 18

b) g-¹(x) = 5x-5

c) 3((3(x-4))

= 3((3x-12)-4))

= 3(3x-16)

= 9x-48

The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48​

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, The functions f and g are such that f(x) = 3(x – 4) and

g(x) = x/5+1

a) f(10) = 3(10-4)

= 3(6)

= 18

b) g'(x) = d/dx(x/5+1)

= 1/5d/dx(x) = 1/5

c) ff(x) =

= 3((3(x-4))

= 3((3x-12)-4))

= 3(3x-16)

= 9x-48

Hence, The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48​

For more references on functions, click;

https://brainly.com/question/21145944

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how Do I solve
17 1/2 - 10 1/8​

Answers

Answer:

59/8 or 7 3/8

Step-by-step explanation:

make improper fractions, then multiply 1st one by to make denominator equal then subtract

Answer:

7 3/8

Step-by-step explanation:

You have to make 17 1/2 and 10 1/8 into improper fractions, which would be 35/2 and 81/8. Then you have to find a common denominator, which is 16, so you get 280/16 - 162/16. You subtract and get 118/6, which simplifies to 7 3/8. Hope this helps :)

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