y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer 1

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24
Answer 2

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24


Related Questions

Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.​

Answers

Answer:

142cm

Step-by-step explanation:

give me brainlylee plz

The area of the circle semicircle will be 13288.28 square centimeters.

What is the area of a circle?

Suppose the circle has a radius of 'r' units, then, its area is given as:

A = πr² square unit

The radius of the semicircle is 92 cm.

The area of the semicircle is half of the area of the circle.

Then the area of the circle semicircle will be

A = π x 92² / 2

A = π x 8464/ 2

A = 4232 x 3.14

A = 13288.48 square cm

Learn more about the area of a circle here:

https://brainly.com/question/13004063

#SPJ2

. You are a Geographic Information System (GIS)
specialist preparing a zoning map for a county
agency. The area that you are mapping is a square
measuring 4 miles on each side, and it includes all
or part of 998 separate lots ranging from
to 987 acres. The map scale is 1 inch 500 feet
About how long is each side of the map that
you will print?
A 2 inches
B. 4 inches
10 inches
24 inches
B. 42 inches

Answers

Answer:

l will print A2 inches cause each side of the scale of the map is 1inch

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)

Answers

Answer:

ion

Step-by-step explanation:srry

Simplify the expression -3/(-2/5)

Answers

-3/(-2/5) = -3 * (5/-2)=15/2=7.5

Answer:

im new but im pretty sure its 7.5

Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.

Could somebody help n explain pls thx

Answers

Answer:

lines are perpendicular

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form and extract the slope

3x - 2y = - 6 ( subtract 3x from both sides )

- 2y = - 3x - 6 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

----------------------------------

4x + 6y = 2 ( subtract 4x from both sides )

6y = - 4x + 2 ( divide through by 6 )

y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

--------------------------------------

[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel

[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1

Thus the lines are perpendicular to each other

plz helpp what is b?

Answers

Answer:

41 degrees

Step-by-step explanation:

the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.

41 degrees if wrong msg me back

pls help asap! i will mark brainliest!

Answers

Step-by-step explanation:

that simply means that D is the middle point of AC.

and that means that both sides of D are equal long :

x + 8 = 2x - 17

25 = x

therefore

AB = x - 7 = 25 - 7 = 18

Someone plz help me :(

Answers

Answer:

The answer is a

Step-by-step explanation:

Like and give 5 star rating

Answer:

8/3 miles over 8miles

8 mi/3 hrs = 8/3 mi/hr = 2.66666.

Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?

Answers

Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

heres the table and graph

Answers

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Use the triangle below to fill in the blanks.

Answers

Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

Average Speed=Distance undefined ➗ Time


A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?

Answers

Answer:

37 km/minute

Step-by-step explanation:

Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]

=> 185/5

=> 37 km/minute

Hoped this helped.

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

1. 50% of a number

0.5

2. 10% of a number

0.1

3. 75% of a number

0.75

Step-by-step explanation:

this is because a percentage is the same as a decimal or a fraction

so 50% is 0.5 or 50/100

taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100

same with 10% and 75%

Can you pls help.
If you do I will give you brain list but only if it’s right

Answers

Answer:

y=-2x-7

Step-by-step explanation:

To find the slope intercept form:

y+mx+b

m is the slope and b is the y-intercept.

We can take the first two points and find the slope by:

[tex]\frac{y2-y1}{x2-x1}[/tex] ->

[tex]\frac{-5-3}{-1- - 5}[/tex] = -2.

That’s the slope.

For the y-intercept we solve the equation:

y=−2(−5)+b -> b = -7

now we have the slope and y-intercept so the equation is:

y=-2x-7

Hope that helps!

HELP 35 POINTS

State the domain and range to each of these functions and determine function or not.

Answers

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

Which statement is correct about the system of linear equations graphed below? On a coordinate plane, 2 lines are parallel to each other.
A. The system of equations has one solution because the lines will eventually intersect. B. The system of equations has one solution because the lines will never intersect.
C. The system of equations does not have one solution because the lines will eventually intersect.
D. The system of equations does not have one solution because the lines will never intersect.

Answers

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

Step-by-step explanation:

If two lines are parallel, then there is no intersection and therefore no solutions.

Correct choice is D

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

edg2021Unit Test

Step-by-step explanation:

A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge

Answers

It would would like this. Hope this helped :)
This should be what you’re looking for

Geometry haha, I have no idea how to do this

Answers

Answer:

∠DOB=108°

Step-by-step explanation:

∠AOD=∠COB=y

∠AOC=3.5y-y-y

          =1.5y

3.5y+1.5y=360° (angles at a pt)

          5y=360°

             y=360°÷5

               =72°

         1.5y=72°×1.5

               =108°

Hence, ∠DOB=108°.

Answer:

108

Step-by-step explanation:

Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.

How to get p value from t.

Answers

Answer:

For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)

59 divided by 4=? PLEASE HELP!

Answers

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?

Answers

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

This figure is made up of two rectangular prisms.

What is the volume of the figure?

Enter your answer in the box.

Answers

3•2•7=42•2=84
12•10•7=840
84+840=924in^3

Answer:

3•2•7=42•2=84

12•10•7=840

84+840=924in^3

Step-by-step explanation:

-4 1/2 + 2 3/4

Guys help me Im having trouble on this EEEEEEEEEE

Answers

Answer: does that “-4” count? 1/2 + 2 3/4 mixed number equations are easy. Switch the other way so it should be 2 3/4 + 1/2. The 2 whole remains. 3 - 1 = 2. Dont subtract the denominator. Final is 2_2/4. Not 100% sure if im correct though, i might need more studying

Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3

Answers

Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

y intercept is -4 and the slope is 10

Answers

Answer:

y=10x-4

Step-by-step explanation:

Answer:

y=10x-4

Step-by-step explanation:

Solve for z? Question in photo

Answers

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?

Answers

After the 10% reduction in the price of the  toy car, the car costs 450.

In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.

10% x 500

0.1 x 500 = 50.

The second step is to subtract the value of the 10% price reduction from the original cost of the  toy car.

500 - 50 = 450

To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849?referrer=searchResults

Enter the number in scientific notation. 86,792 =

Answers

Answer:

8.6792 × 10 4 (I don't know how to make the four smaller but its 10 to the power of 4).

Step-by-step explanation:

8.6792 × 10 4. is the scientific notation

What is 521,000,000 expressed in scientific notation? A. 5.21x 10^8 B. 5.21x10^9 C. 0.521x10^-9 D. 0.521x10^9

Answers

Answer:

A. [tex]5.21*10^{8}[/tex]

Step-by-step explanation:

Multiplying by [tex]10^{n}[/tex] moves the decimal point n places to the right.

Doing so 8 times for 5.21 gives 521,000,000.

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