y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4​

Answers

Answer 1

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.


Related Questions

Name
Date
Unit 2 Mid-Unit Assessment continued
Form A
6
Ben has 5 comic books. His cousin Kurt has 6 times as many comic books
as Ben has.
Part A
Draw and label a bar model to show the number of comic books
each boy has.

Answers

Answer:

das

Step-by-step explanation:

adsasc

HELP!! these two questions I've been stuck on! Please help!​

Answers

5) 49/121 or 0.404958677850

6) 1/36 or 0.027

In the triangle below, suppose that m angle L=(5x-3)m angle M=(4x-7)^ , and m angle N=x Find the degree measure of each angle in the triangle .

Please I need this done in 15 minutes !!!!!

Answers

Because all angles adds up to 180 we are going to add the equations and equal it to 180.

5x - 3 + 4x - 7 + x = 180
5x + 4x + x - 3 - 7 = 180
10x - 10 = 180
10x = 180 + 10
10x / 10 = 190/10
x = 19 degrees

5x - 3
5(19) - 3 = 92 degrees

4x - 7
4(19) - 7 = 69 degrees

angle L = 92 degrees
angle M = 69 degrees
angle N = 19 degrees

Find the missing length. The triangles in each pair are similar.

Answers

I think the answer should be 12

this is because CH length is 6 x 5 is 30 so 60/5 is 12 for BH.

Find the number of 3-card hands that contain the cars specified. NO LINKS!! NOT MULTIPLE CHOICE!!!

5. 3 red cards

6. 3 aces

7. 3 face cards

8. 3 hearts

9. 3 of one kind​

Answers

Answer:

Step-by-step explanation:

5.

26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600

6.

4 aces in a deck so 3 aces = 4*3*2 = 24

7.

12 face cards in a deck so 3 face cards = 12*11*10 = 1320

8.

13 hearts in a deck so 3 hearts = 13*12*11 = 1716

9.

4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716

= 6864

Answer:

Step-by-step explanation:

5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600

6. 4 aces total: 4x3x2 = 24

7. 3 face cards per suit; 12 total: 12*11*10 = 1320

8. 13 heart cards: 13x12x11 = 1716

9. 4 suits: 1716x4 = 6864

By what percent will a fraction decrease if its numerator is decreased by 40% and its denominator is decreased by 25%?

Answers

Answer: 80%

Step-by-step explanation:

Hence, if the numerator is decreased by 40% and the denominator is decreased by 25%, the original fraction is decreased by 80 percent.

Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.

Answers

Answer:

the common difference is 10

It’s ten..............................


Mars is on average 2.25 x 108 miles away from Earth. The moon is on average 2.388 x 105 miles away from Earth. Approximately how many times
farther is Mars from Earth than the moon is ?

A.0.94 times
B.9.4 times
C.94 times
D.940 times

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Mars is approximately 940 times farther away from Earth than the Moon.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Mars is on average 2.25 x 10⁸ miles away from Earth.

The moon is on average 2.388 x 10⁵ miles away from Earth.

To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:

2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42

Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.

Therefore, the answer is D) 940 times.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Please help with this problem​

Answers

Answer:

9/13 should be the answer

Explanation:

does not have a sister & has a brother / does not have a sister & has a brother + does not have a sister & does not have a brother =

9 / (9 + 4) = 9 / 13

A sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians. Find the area of the sector.

Answers

Answer:

42.39 ft²

Step-by-step explanation:

area of sector= 3/8 × 3.14 × 6²

= 42.39 ft²

The area of the sector is 42.39 ft²

Given that, a sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians, we need to find the area of the sector,

Area of the sector = θ/360° / π·radius²

area of sector= 3/8 × 3.14 × 6²

= 42.39 ft²

Hence, the  area of the sector is 42.39 ft²

Learn more about the sector of the circle, click;

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A family of pdf's that has been used to approximate the distribution of income, city population size, and size of firms is the Pareto family. One such member of the Pareto family is the following pdf.
f(x) = { c//x^3 x≥2
0 x<2
Find the mean of X.
(a) 2
(b) 3
(c) 5
(d) 6
(e) 4

Answers

Answer:

[tex]Mean = 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) =\left \{ {{\frac{c}{x^3} \ x\ge 2} \atop {0\ x<2}} \right.[/tex]

Required

The mean of x

Given that:

[tex]f(x) = \frac{c}{x^3}[/tex]     [tex]x \ge 2[/tex]

First, solve for c using;

[tex]\int\limits^a_b {f(x)} \, dx = 1[/tex]

Substitute [tex]f(x) = \frac{c}{x^3}[/tex] and [tex]x \ge 2[/tex]

[tex]\int\limits^{\infty}_2 {\frac{c}{x^3}} \, dx = 1[/tex]

Isolate c

[tex]c\int\limits^{\infty}_2 {\frac{1}{x^3}} \, dx = 1[/tex]

Rewrite as:

[tex]c\int\limits^{\infty}_2 {x^{-3}} \, dx = 1[/tex]

[tex]c[\frac{x^{-3+1}}{-3 +1}]|\limits^{\infty}_2 = 1[/tex]

[tex]c[\frac{x^{-2}}{-2}]|\limits^{\infty}_2 = 1[/tex]

[tex]-\frac{c}{2} [x^{-2}]|\limits^{\infty}_2 = 1[/tex]

Expand

[tex]-\frac{c}{2} [{\infty}^{-2} - {2}^{-2}]= 1[/tex]

[tex]-\frac{c}{2} [0 - \frac{1}{4}]= 1[/tex]

[tex]-\frac{c}{2} *- \frac{1}{4}= 1[/tex]

[tex]\frac{c}{8}= 1[/tex]

Solve for c

[tex]x = 8 * 1[/tex]

[tex]x = 8[/tex]

So, we have:

[tex]f(x) = \frac{c}{x^3}[/tex]     [tex]x \ge 2[/tex]

[tex]f(x) = \frac{8}{x^3}[/tex]     [tex]x \ge 2[/tex]

So, the mean is calculated as:

[tex]Mean = \int\limits^a_b {x * f(x)} \, dx[/tex]

This gives;

[tex]Mean = \int\limits^{\infty}_2 {x * \frac{8}{x^3}} \, dx[/tex]

[tex]Mean = \int\limits^{\infty}_2 {\frac{8}{x^2}} \, dx[/tex]

[tex]Mean = 8\int\limits^{\infty}_2 {\frac{1}{x^2}} \, dx[/tex]

Rewrite as:

[tex]Mean = 8\int\limits^{\infty}_2 {x^{-2} \, dx[/tex]

Integrate

[tex]Mean = 8 {\frac{x^{-2+1}}{-2+1}|\limits^{\infty}_2[/tex]

[tex]Mean = 8 {\frac{x^{-1}}{-1}}|\limits^{\infty}_2[/tex]

[tex]Mean = -8x^{-1}|\limits^{\infty}_2[/tex]

Expand

[tex]Mean = -8[(\infty)^{-1} - 2^{-1}][/tex]

[tex]Mean = -8[0 - \frac{1}{2}][/tex]

[tex]Mean = -8* - \frac{1}{2}[/tex]

[tex]Mean = 8* \frac{1}{2}[/tex]

[tex]Mean = 4[/tex]

question in image attached

Answers

A=5.00

B=7.07

I hope this helps you out

13 of 20 QID: 26864 What is the radius of a right circular cylinder with a volume of 12 in3 if it has a minimum surface area

Answers

Answer:

r = 1,248 in

Step-by-step explanation:

v(c) = 12 in³

The surface area of a right cylinder is:

Area of the base and top  + lateral area

S(a)  =  2*π*r²  + 2*π*r*h   (1)

v(c) = 12 in³  =  π*r²*h        h is the height of the cylinder, then

h  =  12 / π*r²

By substitution,  in equation (1) we get  the  Surface area as a function of r

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Tacking derivatives on both sides of the equation we get:

S´(r)  =  4*π*r -  24 /r²

S´(r)  = 0            4*π*r -  24 /r²  =  0       π*r - 6/r² = 0

 π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

How do we know that the value  r  =  1,248 makes  Surface area minimum??

We get the second derivative

S´´(r)  =  4*π  +  48/r³    S´´(r)  will be always positive therefore we have a minumum of S   at the value of   r = 1,248 in

           

Find the sum sn of the arithmetic sequence a7=14/3 d=-4/3 n=15

Answers

Answer:

[tex]S_{15}= 50[/tex]

Step-by-step explanation:

Given

[tex]a_7 = \frac{14}{3}[/tex]

[tex]d = -\frac{4}{3}[/tex]

[tex]n = 15[/tex]

Required

The sum of n terms

First, we calculate the first term using:

[tex]a_n = a + (n - 1)d[/tex]

Let [tex]n = 7[/tex]

So, we have:

[tex]a_7 = a + (7 - 1)d[/tex]

[tex]a_7 = a + 6d[/tex]

Substitute [tex]a_7 = \frac{14}{3}[/tex] and [tex]d = -\frac{4}{3}[/tex]

[tex]\frac{14}{3} = a + 6*\frac{-4}{3}[/tex]

[tex]\frac{14}{3} = a -8[/tex]

Collect like terms

[tex]a =\frac{14}{3} +8[/tex]

Take LCM and solve

[tex]a =\frac{14+24}{3}[/tex]

[tex]a =\frac{38}{3}[/tex]

The sum of n terms is then calculated as:

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where: [tex]n = 15[/tex]

So, we have:

[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + (15 - 1)*\frac{-4}{3})[/tex]

[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + 14 *\frac{-4}{3})[/tex]

[tex]S_n = \frac{15}{2}(2*\frac{38}{3} - 14 *\frac{4}{3})[/tex]

[tex]S_n = \frac{15}{2}(\frac{2*38}{3} - \frac{14 *4}{3})[/tex]

Take LCM

[tex]S_n = \frac{15}{2}(\frac{2*38-14 *4}{3})[/tex]

[tex]S_n = \frac{15}{2}(\frac{20}{3})[/tex]

Open bracket

[tex]S_n = \frac{15*20}{2*3}[/tex]

[tex]S_n = \frac{300}{6}[/tex]

[tex]S_n = 50[/tex]

Hence,

[tex]S_{15}= 50[/tex]

Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown.



What is the approximate length of the ladder?

A.
8 feet


B.
11 feet


C.
12 feet


D.
14 feet

Answers

The answers is : d
Because 11.5 plus 3.5 would equal 15 and then the approximate length would end up being 14

Answer:

d 14

Step-by-step explanation:

Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13

Answers

Answer:

I believe it's 17 :)

Step-by-step explanation:

5×3= 15 +2 = 17

B.) 17. F(5)=3(5)+2. F(5)=17

birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officials plan to require special treatment for the lightest 3% of newborn babies, what birth weight seperates those requiring special treatment from those who do not

Answers

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of  lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

[tex]z_1 = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.88 = \dfrac{X-3570}{500}[/tex]

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth   that differentiates the babies that needed special treatment from those that do not

PLEASE HELP I WILL GIVE BRAINLIEESTTTT

Answers

Yea is A because I know

a garden and a bench cost 725 combined. the garden table cost 75 more than the bench. What is the cost of the bench

Answers

Answer: feugfberuyvfeygcreuyug

Step-by-step hththrhfhr

The area of a rectangle is 130 mm². The length is 3 mm greater than its width. Let x represent the width of the rectangle.
Which equation can be used to solve for x?
O A. 3x = 130
O B. x2 + 3 = 130
C. x(x + 3) = 130
D. (x+3)2 = 130

Answers

Answer:

L = 3 + x

W = x

A = L x W

130 = 3 +( x × x)

B. X2 + 3 = 130

The equation that can be used to solve for x is;

x(x + 3) = 130

Area of a Rectangle

We are told that area of a rectangle is;

A = 130 mm².

We are told that length is 3 mm greater than its width.

Now, if the width is x, then

Length = x + 3

Formula for area of a rectangle is;

A = length * width

Thus;

(x + 3)x = 130

x² + 3x = 130

Read more about area of a rectangle at;https://brainly.com/question/13048427

how to expand (3x-4y)^6 ​

Answers

Steps
(3x·​ 4y)(2x−3y)
Apply the distributive law: a(b−c)=ab−ac
(3x· 4y)(2x−3y)=​3x· 4y· 2x−3x· 4y· 3y
=3x· 4y· 2x−3x· 4y· 3y
Show Steps
Simplify 3x· 4y· 2x−3x· 4y· 3y: 24x2y−36xy2
=24x2y−36xy2



plss help me :(
Find the length of the arc.

Answers

Answer:

D 5pi/2

Step-by-step explanation:

Found the circumference then quartered. Can I have brainiest I need one more to upgrade.

#6 - 8 ASAP first answer gets brainliest

Answers

Answer:

6. 8 in.²

7. 47.6 m²

9. 20 cm²

Step-by-step explanation:

6. Area of triangle = ½*base*height

base = 4 in.

height = 4 in.

Area = ½*4*4

Area = 2*4

Area = 8 in.²

7. Area of triangle = ½*base*height

base = 13.6 m

height = 7 m

Area = ½*13.6*7

Area = 47.6 m²

9. Area of the shaded figure = area of triangle + area of rectangle

= ½*b*h + L*W

b = 2 cm

h = 4 cm

L = 8 cm

W = 2 cm

Area of the shaded figure = ½*2*4 + 8*2

= 4 + 16

= 20 cm²

Can someone please answer

Answers

Answer:

6 - 5 = 7 - 61 = 1   (TRUE)

Step-by-step explanation:

13 - 6 = 6 - 1

7 = 5  (FALSE)

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

6 - 5 = 7 - 6

1 = 1   (TRUE)

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

8 - 4 = 11 - 8

4 = 3  (FALSE)

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a function of batch size (the number of boards produced in one lot or batch). The independent variable is:

Answers

Answer:

"Variable cost" is the appropriate answer.

Step by-step explanation:

Let an equation,

⇒ [tex]y=a+bx[/tex]

here,

y = Total costa = Fixed costx = Variable cost

or,

We can say that, "y" is a dependent variable as well as "x" is an independent variable.

Thus the independent variable is Variable cost.

Given: mĐIED = 116° and mÐJFG = 100° Find the measure of each unknown angle. (not drawn to scale) O m​

Answers

Answer:

B is the answer

Step-by-step explanation:

QR=15;PR=28;PQ=15,Cos_=15/28

Answers

Answer:

I don't understand any thing can you read the question

Suppose the line with slope 1 crosses the x -axis at x=2.

(a) Find the equation of the line in slope-intercept form and enter the answer in the space:

(b) What is the y -intercept of the graph of the line? Enter your answer in the space:

Answers

Answer:

a. y=x-2     b. -2

Step-by-step explanation:

a.) if the slope is 1, the x-int is always the negative of the y-int so y=x-2

b.) in y=mb+b (slope intercept form) b is the y-int so -2

Brainliest Plz??

What is a dialation?
A Making a shape bigger or smaller based on a scale factor.
A slide of a point in a certain direction.
A turn of a point around the origin.
A flip of a point across a line.

Answers

A. Making a shape bigger or smaller based on a scale factor

PLEASE HELP
what is the perimeter of a quadrilateral with vertices at (1,5), (6,5), (1,11), and (6,11)? enter the answer in the Ⴆσx

Answers

Answer:

perimeter = 25.62 units

Step-by-step explanation:

Let the quadrilateral be ABCD

A = (1, 5), B = (6, 5), C= (1, 11) , D = (6, 11)

To find the perimeter we need to add the lengths of sides AB , BC, CD, and AD.

Lets find the length of all sides using distance formula;

[tex]distance = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]AB = \sqrt{(1-6)^2+(5-5)^2} = \sqrt{25} = 5units\\\\BC= \sqrt{(6-1)^2+(5-11)^2} = \sqrt{25+36} =\sqrt{61} units\\\\CD=\sqrt{(1-6)^2 + (11-11)^2} = \sqrt{25} = 5units\\\\AD = \sqrt{(1-6)^2+(5-11)^2} = \sqrt{25+36} = \sqrt{61}units[/tex]

Perimeter = AB + BC + CD + AD

               [tex]=10 + 2\sqrt{61} units[/tex] = 25.62 units

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