y is directly proportional to x^3
y = 17
when
x = 4
Work out an equation connecting y and x.​

Answers

Answer 1

Answer:

[tex] 64y = 17 {x}^{3} [/tex]

Step-by-step explanation:

[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]

Answer 2

The correct equation connecting y and x is,

⇒ y = 17/64x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ y is directly proportional to x³

Hence, We get;

⇒ y = kx³

Here, y  17 at x = 4;

Hence,

⇒ 17 = k × 4³

⇒ k = 17 / 64

Thus, The correct equation connecting y and x is,

⇒ y = 17/64x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Related Questions

2/x-2+15/x=2/x-2 what is the LCD

Answers

Answer:

im not sure

Step-by-step explanation:

hy

Answer:

what butt to not answer

Step-by-step explanation:

PLZ HELP WILL MARK BRAINLIEST

Answers

(4,4) !! hope this helps!

(5x - 7y + 8) + (-y + 6 - 4x) + (9 - 3x + 8y)

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The answer is -2x+ 23

A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her
mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures
the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below.

Answers

Answer:

Volume fomlua is LxWxH, just multiply the numbers with a calculator:)

help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !

Answers

about 90ft

step-by-step explanation: 1/2 (a+b) x h is area of trapezoid. So that would be 40
then area of circle is pi x radius squared. So that is 50.24 roughly.

so 50+40=90

and yeah

hope this helped :))

two sides of a triangle are 4 and 6 the third side cant be what A 2 b 4 c 6 d 8 please respond asap ​

Answers

Answer:

it’s b.4

hopes this help you

What is the value of the expression?

−5/12+7/34

Answers

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

I forgotususjaajjajajaa

A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons per minute. The other fills the tank at the rate of 120 gallons per minute.

(a) If the pipes run simultaneously, how long will it take to fill the tank?

(b) The small pipe is opened and water is run into the tank for a certain length of time. Then this pipe is shut off and the large one is used to finish filling the tank. How long was each pipe used if it took 60 minutes to fill the tank?

(c) The large pipe alone is opened for a certain time and then both pipes together are used to finish filling the tank. If it takes 34 minutes to fill the tank in this manner, how long was the small pipe used?

Answers

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe =  6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x =  7200  - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120  

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800  so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

f(x) = x? What is g(x)?
g(x);
5-
(1,3)
(x
A. g(x) = (3x)2
B. g(x) = 9x2
C. g(x) = 3x2
D. g(x)= x2

Answers

Answer:

C.   g(x) = 3[tex]x^{2}[/tex]

Step-by-step explanation:

f(1) = 1    and    g(1) = 3    

g(1) is 3 times more than f(1)

So, g(x) = 3[tex]x^{2}[/tex]

Guys pls help me!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

The graph is moved up by 4, that is why it says +4 in the equation

Answer:

I'm pretty sure it's A

Step-by-step explanation:

If not i'm sorry but after reviewing the question i believe it is A

Hope this helps

A bag of apples weighs 7 4/10 pounds.a crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit

Answers

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

what is 8/16 as a whole number

Answers

Answer:

2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form.

Step-by-step explanation:

What is 8/16 Simplified? - 1/2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form. Online simplify fractions calculator to reduce 8/16 to the lowest terms quickly and easily.

Answer:

0.5 or 1/2

Step-by-step explanation:

nothing can futher be simplified

How does an online school student go to traditional charter school during c0vid?

Answers

Answer:

mask

Step-by-step explanation:

By wearing a proper mask

Rafa went to Lone Star Auto who charges $35 for each car plus $7 per hour. If Rafa's bill was $63, how many hours did he get his car worked on?

Answers

Answer: 4 hours

Step-by-step explanation:

Given

Auto charge a fixed amount of $35

and $7 per hour

Rafa bill was $63

Suppose Rafa travels for x hours. So, we can write

[tex]\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}[/tex]

Which number is an integer?

Answers

Answer:

Step-by-step explanation:

Can you please specify on that question

Answer:

Integers are numbers that include the negatives, zero and positives.

Step-by-step explanation:

If you ever get confused there's a big circle chart to help you remember look for it online!! What I use to remember is visualizing a number line!

First is the real numbers, so the numbers we were taught since we were little like 1, 2 ,3, 4, 5, 6 and so on. So that's the first part of the number line.

Next is the whole numbers so you just add a zero to that number line. Whole numbers is just all of the real numbers + the number zero.

Then it's the integers so you add the left side of that number line. Integers are real numbers, whole numbers, and negatives. So basically on the number line it's the negatives , zero, and the positives.

Last it's the radicals so all parts of a number like fractions and decimals. So you can add .5 in between the numbers of that numberline.

I hope this strategy helped and if it didn't here's that circle chart!!

I really hope this did help tho!!

Can someone please help me asap extra brainly points !!!

Answers

56.52 yards should be the circumference

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

on Sundays,Crystal has breakfast at 8:30 a.m. her tennis lesson starts an hour and last for an hour. what time is her tennis lesson over?​

Answers

Answer:

it ends at 10:30 am

Step-by-step explanation:

if you add 2 hours to 8:30 am it equals 10:30 am

You leave home and walk 3 blocks east, then 4 blocks north. How far are you from

home?

Answers

I believe the answer would 5 blocks

If you go 3 blocks East and 4 north, they are like the straight sides of a triangle, so to find the diagonal distance, or the shortest distance, you would find the diagonal side of a triangle it is
A squared + B squared = C squared

So 3x3 = 9
And 4x4 = 16
16+9=25
And the square root of 25 is 5

Please correct me if I am wrong and have a good day

PLZZZZ HELP ME ,Plsss

Answers

Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

What is the Y-intercept of the simplified equation??

Answers

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob

Answers

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

Given that :

A new watch costs $38.85a new bracelet costs $22.38

to find :

If Maddy buys both, how much does she spend ?

explanation :

we have,

watch cost = $ 38•85bracelet cost = $ 22•38

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

$ 61•23

maddy cost $ 61•23 for buys both.

Can u find the value of the x.

Answers

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

If you answer this you're HOT!!!!!
For the following question, determine whether the two are similar. If so, give the scale factor of the figure to the larger figure

Answers

i’m not sure if i’m correct..but i think it’s no

Answer:

The answer is yes, 1:1.6

Step-by-step explanation:

If you divide 6.4 by 4 and 3.2 by 2, you get 1.6. Hoped this helped. :)

What is the area of this regular pentagon that has been divided into five congruent triangles?

48 [tex]cm^{2}[/tex]

120 [tex]cm^{2}[/tex]

100 [tex]cm^{2}[/tex]

24 [tex]cm^{2}[/tex]

Answers

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

Write and solve your own multi-step equation that has variables on both sides and at least one fraction.
Example : 5x + 5 + 4x = 4 - 3x + 6 (but dont do this one, do something similar to it and solve it please :) )

Answers

Your Answer for 5x+5+4x=4-3x+6: x=5/12

Step-by-step explanation: Hope this help :D


Given that AD=9 and BD=6, find the measure of BC.

Answers

Answer:

i think someone can figure this out, but if they cant just say somthing like a or f

Step-by-step explanation:

simplify y = (204 - 12p) /12

Answers

Answer:

y = 17 - p

Step-by-step explanation:

Given y = (204 - 12p) /12

we need to simplify

To do so all we have to do is divide what is inside of the parenthesis by 12

204/12=17

-12p/12=-p

we're left with y = 17 - p

evaluate 9P4
A. 9
B. 362,880
C. 126
D. 3024

Answers

Answer:

3024

Step-by-step explanation:

3024

Option (D) 3024 is the permutation value is the correct answer.

What is a permutation?

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]

Here, n = 9 and r = 4

⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]

⇒ [tex]\frac{9!}{5!}[/tex]

⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]

⇒ [tex](6)(7)(8)(9)[/tex]

⇒ [tex]3024[/tex]

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

Learn more about permutations here

https://brainly.com/question/1216161

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You measure an obtuse angle on a protractor. If neither of the rays of the angle points at 0° or 180°, where could they point? Give the two points using degrees and explain why you chose those points.

Answers

Answer:

Any point greater Than 0 and less than 180°

Step-by-step explanation:

Obtuse angle measures are angles which measures angles in the range between 0° and 180°. Angles which lies between these range are called obtuse angles. Hence, from the question, if the ray of points measured does not point to 0° or 180°; then, the ray of angle points could have pointed to any angle between greater Than Zero less than 180.

Hence the points could 10 and 120 or any other values which meets the obtuse angle condition.

Answer:

173-degree angle (any angle larger than 90 degrees is obtuse and why are there favorite numbers all of a sudden????)

145-degree angle (there really is no reason to choose 2 certain numbers)

Step-by-step explanation:

any angle larger than 90 degrees is obtuse, so there you go my children.

Find the value of x.
log8x=3

A. 512
B. 24
C.6561
D.1/512

Answers

A. 512 is the answer.
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