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

Here is an inequality -10+x÷4+5>7x-5÷3

Answers

Answer:

here is the answer x>1/2


There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.

Answers

Answer:

~7.61 births/minute

Step-by-step explanation:

- 2x + 4y = 17
3x - 10y = -3

Answers

1)-2x+4y=17
-2x+4y-17=0
2x-4y+17=0
———————
2)3x-10y=-3
3x-10y+3=-3+3
3x-10y+3=0

Answer:

1.-2x+4y=17

if you want me to solve for x : x=-17/2 +2y

If you want me to solve for y: y=17/4+x/2

2. If you want me to solve for x: x=-1+10y/3

If you want me to solve for y: y=3/10+3x/10

3. If you want me to do it all together it would be:

x=-79/4, y=-45/8

Step-by-step explanation:

What is the value of 3x + 4y² when x = 5 and y = 3?

Answers

The value of 3x + 4y² when x = 5 and y = 3 is 51.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

What is the equation for the line in slope-intercept form?

Answers

y=-2x-4 is the answer:)

which of the following is not a true dilation?

A. The image and preimage have congruent angles

B. The image and preimage have proportional sides

C. The image and preimage are congruent

D. The image and preimage are similar

Answers

Answer:

umm i think it is B.

Step-by-step explanation:

Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.​

Answers

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

Identify the slope and y-intercept for 3x + 4y = 9.

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

can someone help me on this one plss i REALLY need this for school

Answers

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

C increased equals +

YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.

Answers

11th terms is 56 …….

instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?

Answers

Answer: $2.34

Step-by-step explanation: first add $3.67+$3.67 that equals $7.34

then subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer:

$3.67+$3.67=$7.34

Subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

what does n mean in -10(n-5)=40

Answers

Distribute -10
-10n - 50 = 40
Add 50 to both sides
-50 + 50 would cancel
- 50 + 40 = -10
Divide by -10
-10/-10 = 1
N=1

Answer:

Divide both sides by -10

-10n+2=40

subtract 2 from both sides so

40-2=38

10n/10= 38/10

3.8 = n

Step-by-step explanation:

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

Find the circumference of the
circle. Use 3.14 for it. Do not
round your answer.
C = [ ? ] feet
18 feet
Enter the number that
belongs in the green box.
Hint: C = 2tr

Answers

The answer is abc deft hi

y=-3x-8 how is this graphed

Answers

You graph this equation by first graphing the y-intercept, which is -8, according to your equation.

You will plot down, (0,-8) on your graph as your first point. Then since the slope is -3, you will go from that point (0, -8) 3 down and 1 right. So your next point would be (1, -11) and go 3 down and 1 right again for your third point, and keep going if you want more points.

After graphing as many points as you want graph a line though it! It has to be a straight line.

Hope this helps!! :)

help plssah
answer the question...

Answers

Answer:

2

Step-by-step explanation:

Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run

Answers

Answer:

4 7/12

Step-by-step explanation:

If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?

Answers

Answer:

She needs to get to class on time

Step-by-step explanation:

If shes tardy shes going to get detention which will lead to her phone getting took.

In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F

Answers

In parallelogram DEFG, angle F measures 92°

A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.

In parallelogram DEFG:

∠D + ∠E = 180° (Consecutive angles are supplementary)

(5x - 8) + (3x + 28) = 180

8x + 20 = 180

8x = 160

x = 20°

∠D = 5x - 8 = 5(20) - 8 = 92°

∠D = ∠F = 92° (Opposite angles are congruent)

In parallelogram DEFG, angle F measures 92°

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The angle of F in degrees is 92°

Adjacent angles of a parallelogram are supplementary.

Therefore,

Therefore,

5x - 8 + 3x + 28 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160 / 8

x = 20

Angle F is an opposite angle to angle D. Therefore,

∠D = ∠F

5x - 8 = 5(20) - 8 = 100 - 8 = 92°

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Geometry hw help please.

Answers

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

i need help with evaluating functions g(n)=3n - 4 ; find g(9)

Answers

n = 9
So
3n - 4 = (3*9) - 4 = 23

If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.

Due today!!

Answers

Answer:

1, 6, and -5

make it 0

Divide.
123 : 5
remainder

Answers

123 / 5

100 / 5 = 20

20 / 5 = 4

3 = remainder

123/5
100/5=20
20/5=4
3=remainder

y is inversely proportional to x and x = 10 when y = 6 what is the value of the consant? k =

Answers

Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

Enjoy it. I hope it will help you.

A class has 30 students. 10 students take the bus. What percentage of students take the bus?

Answers

Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.

Answers

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].

Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].

Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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Which of the following is incorrect?

I need help please! It’s due tonight.

Answers

Answer:

D

Step-by-step explanation:

Can i get brainiest Sorry if im wrong <3

Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)

Answers

Answer:

absolute value

coefficient

constant

counterexample

equation

expression

evaluate

inequality

I hope that helps maybe give brainliest if it does!

Love,

-Banana

What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?

−4
−3
−2

Answers

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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