answer needed urgently

The force,
F
(Newtons), between two objects is inversely proportional to the square of the distance,
d
(metres), between them.
The force is 0.012 Newtons when the distance between the objects is 1.4 metres.
Work out
d
(rounded to 2 DP) when
F
=
0.035
Newtons.

Answers

Answer 1

Answer:

dont now the answer but air math app will help you just take photo of problems

Answer 2

Answer:

4.08

Step-by-step explanation:

when 0.012N = 1.4mthen, when F =0.035..the distance is:(1.4×0.035)÷0.012

Related Questions

Un fabricante de peceras debe indicar el volumen de cada una de ellas. ¿cuál es el volumen de una pecera de forma cilíndrica con un diámetro de 50 cm. Y una altura de 30 cm. ?

Answers

El volumen es una cantidad escalar tridimensional. El volumen de la pecera con un diámetro de 50 cm y una altura de 30 cm es 58,904.863 cm³.

¿Qué es el volumen?

Un volumen es un número escalar que expresa la cantidad de espacio tridimensional encerrado por una superficie cerrada.

El volumen de la pecera con un diámetro de 50 cm y una altura de 30 cm será,

Volumen del cilindro = (π/4)×diámetro ²×altura

                                = (π/4)×(50cm)²×30cm

                                = 58,904.863cm³

Por lo tanto, el volumen de la pecera con un diámetro de 50 cm y una altura de 30 cm es 58,904.863 cm³.

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Evaluate:

[tex]\bf{\sum^{20}_1\:4(\cfrac{8}{9})^{n-1}[/tex]



(find the sum of the first 20 terms of the geometric series)



Please help A.S.A.P. & show work as well.


Thank you guys!


[tex]\bigstar[/tex]

Answers

Answer:   [tex]\text \large S_{20} \ = \sf \dfrac{4\left(9^{20}-8^{20}\right)}{3^{38}} \ \ \ or \ \ \ 32.586[/tex]

Given expression:

[tex]\boxed{\sf \sum _{n=1}^{20}\:4\left(\frac{8}{9}\right)^{n-1}}[/tex]

       Identify the following:

First Term (a) = 4(8/9)¹⁻¹ = 4

Common ratio (r) = 8/9

Total Terms (n) = 20

Formula Required:

[tex]\rightarrow \quad \sf S_n = \dfrac{a(r^n - 1)}{r-1}[/tex]

Insert values identified:

[tex]\rightarrow \sf S_{20} = \dfrac{4(\dfrac{8}{9}^{20} - 1)}{\dfrac{8}{9} -1} \quad\overset{simplify}{\longrightarrow} \quad \dfrac{4\left(9^{20}-8^{20}\right)}{3^{38}} \quad \xrightarrow{\text{In \ Decimals} }\quad 32.58609013[/tex]

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.4 sine (1760 pi t). what is the maximum displacement of the tuning fork?

Answers

The maximum displacement of the tuning fork is 0.4 mm

What is a tuning Fork ?

A tuning fork is a acoustic resonator , It is used to tune musical Instruments.

It is given in the question that the

displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.4 sine (1760 pi t).

the maximum displacement of the tuning fork = ?

The equation for a sine function is given by

f(t) = A sin(Bt + C) + D

here A is the maximum Displacement

When this equation is compared with the given equation

d = 0.4 sine (1760 pi t).

A = 0.4

The maximum displacement of the tuning fork is 0.4 mm

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A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81

. Which of the following statements is true?

The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.

The airplane reaches its maximum height of 12 feet in 81 seconds.

Answers

The airplane reaches its maximum height of 81 feet in 12 seconds.

Behavior of curves

If y = [tex]x^{2}[/tex], it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - [tex]x^{2}[/tex], it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = -[tex](t - 12)^{2}[/tex] + 81

By expanding,

h(t) = -([tex]t^{2}[/tex] - 24t + 144) +81

h(t) = -[tex]t^{2}[/tex] + 24t - 144 + 81

h(t) = -[tex]t^{2}[/tex] + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t  = 12 seconds

h(t) at t = 12

h(t) = [tex]-(12)^{2}[/tex] + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

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The population of center city is modeled by exponential function

Answers

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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a school spent 150$ on advertising for a breakfast fundraiser each plate of food was sold for 8.00$ but cost the school 2.00$ to prepare after all expenses were paid the school raised 2,400$ at the fundraiser . which equation can be used to find x the number of plates that were sold?

Answers

Answer:

375 plates were sold

Step-by-step explanation:

$2400 (profit) - $150 (advertising) = $6 (profit per plate $8 cost - $2 expense) times x

2400 - 150 = 6x

Simplify the left side: 2400 - 150 = 2250

2250 = 6x

Divide both sides by 6

2250/6 = 375

i need help please thanks​

Just give me the new coordinates

Answers

Answer: number 1 and number 2 and 4 and 5

Step-by-step explanation:


Solve the system 2x + 2y = -6 and 3x - 2y = 11 by using graph paper or graphing technology. What is the solution to the system?

Answers

Answer:

the solution  is (1,-4)

Step-by-step explanation:

HELPP PLEASE 50 POINTS

Tucker bought some envelopes plain envelope cost twenty-five cents each decorative envelopes cost $0.45 each. he bought at least one plain envelope and at least one decorative envelope he spent exactly the same amount on Plain envelopes as on decorative envelopes.

before taxes added what was the least total amount he could have spent?
A. 1.40$
B. 2.30$
C. 3.10$
D4.50$

Answers

Answer:

D.

Step-by-step explanation:

0.45*5=2.25

0.25*9=2.25

2.25*2=4.50

Hope this helps!

If not, I am sorry.

Which is the x-value of the solution of the system of equations? y=3x^2+15 y=5x^2-17

A. x=±1 B. x=±2
C. x=±4 D. x=±16

Answers

Answer:

C. x = ±4

Explanation:

Given two equation's:

y = 3x² + 15y = 5x² - 17

Solve them simultaneously:

 y       =       y

3x² + 15 = 5x² - 17

5x² - 3x² = 15 + 17

2x² = 32

x² = 16

x = ±√16

x = ±4

Which is the range of the function f(x) = (9)×?
O all real numbers
O all real numbers less than 0
O all real numbers greater than 0
O all real numbers less than or equal to 0

Answers

Using it's concept, it is found that the range of the function [tex]f(x) = 9^x[/tex] is given by:

all real numbers greater than 0.

What is the range of a function?

It is the set that contains all possible output values for the function.

In this problem, the function is:

[tex]f(x) = 9^x[/tex]

For exponential functions without vertical shifts, as is the case in this problem, the range is given by:

all real numbers greater than 0.

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A crate is lifting a boat suspended by wire ropes AB and AD. The point C is vertically below A, and BC measures 5.
a) The gradient of AB is 0.8. How high is AC

Answers

The boat suspended by wire ropes AB and AD, AC is 4 units high.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The gradient of AB is 0.8, hence:

AC / BC = 0.8

Since BC = 5, therefore:

AC / 5 = 0.8

AC = 4

The boat suspended by wire ropes AB and AD, AC is 4 units high.

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IF G=(x)=x^2 find the value of g(2).g(3)​

Answers

Answer: 36

Step-by-step explanation:

[tex]g(2)=2^{2}=4\\g(3)=3^{2}=9\\g(2) \cdot g(3)=4 \cdot 9=\boxed{36}[/tex]

X/6=9/20
What is the answer?

Answers

Step-by-step explanation:

[tex] \frac{x}{6} = \frac{9}{20} \\ [/tex]

[tex]x \times 20 = 9 \times 6[/tex]

[tex]20x = 54[/tex]

[tex]x = \frac{54}{20} \\ [/tex]

[tex]x = 2.7[/tex]

Enter the equation of the circle described below.
Center (-3,0), radius = sqrt5

Answers

Answer: [tex](x+3)^{2}+y^{2}=5[/tex]

which problem is molded by the equation 4x-5=45?

Answers

Answer: B.

Step-by-step explanation:

   See attached. We examine the equation and decide which situation, or problem, models it correctly.


1. suppose you purchased a new car for
$30,000 in 2015. if the value of the car
decreased by 8% each year, during what year
will the car be worth $10,000

Answers

If the value of the car decreases by 8% every year it would take 13 years for the car to be worth
$10000.00.

Hello, can someone help with this problem?

The graph shows the probability distribution of a random variable.
What is the value of P(4≤X≤8)?

0.40
0.45
0.50
0.55

Answers

Answer:

P(5 ≤ X ≤ 8)  = a  rectangle  with a width of 3  and height of .15   = 3(.15)  = .45

 

P( 4 ≤ X ≤ 5)  =  a triangle  with a base of 1  and a height of (0.15 -0.05) = .10

So....this area  =   (1/2)(1)(.10)  = .05

 

And  another rectangle with a width of 1 and height of .05  = (1) (.05) = .05

 

So

 

Adding these areas

 

P( 4 ≤ X ≤ 8 )  =  .45 + .05 + .05   =  .55

Step-by-step explanation:

Hoped this helped!

Megan is one of the cheerleaders in her school. To prepare for the forthcoming Cheer Dance Competition, her coach is teaching them how to control their pom-poms when throwing them up into the air. One exercise is to toss the pom-poms twice as high as the previous toss from the top of their heads. If Megan is able to throw her pom-poms 2 feet above her head during her first toss, how high above her head should her fourth toss be? (problem solving)

Answers

Answer:

16 feet

Step-by-step explanation:

her first try is 2 and you multiply by 2 every time so her first would be 2 which we would multiply to get 4 which we would multiply again to get 8 which we would multiply AGAIN to get the final answer of 16

1.Isabel exercises no less than 45 minutes per day.
Use t to represent Isabel's amount of exercise (in minutes per day).

2. The vehicle's fuel is at least 45 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).

Answers

[1] t ≥ 45

   Since Isabel exercises more ("no less") than 45 minutes a day, we will use greater than or equal to.

-> because being equal is not less, hence still "no less"

[2] f ≥ 45

   Because the vehicle's fuel is "at least" that means it can also be equal too, hence the user of greater than or equal to.

anyone know the answer

Answers

Answer:

56

Step-by-step explanation:because 12345

Please help :) I don’t understand this

Answers

Answer:

Step-by-step explanation:

Part A

Neighborhood A :

2, 2, 2, 4, 4, 5, 5, 5, 5

mean = [tex]\frac{2+2+2+4+4+5+5+5+5}{9}[/tex] = [tex]\frac{34}{9}[/tex] ≈ 3.8  

median = 4

mode = 5

range = 3

[tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 5 - 2 = 3

===================

Part B.

Neighborhood B :

1, 1, 2, 2, 3, 4, 5, 5, 12

mean = ( 1 + 1 + 2 + 2 + 3 + 4 + 5 + 5 + 12 ) ÷ 9 = [tex]\frac{35}{9}[/tex] ≈ 3.9

median = 3

mode = 1, 2, 5

range = 11

[tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 5 - 1.5 = 3.5

Outlier = 12

E im so confused-
( Please explain your answer! )

Answers

Answer:

  B.  180° about the origin

Step-by-step explanation:

You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.

__

You have two clues that the rotation is 180° about the origin:

The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.

__

To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)

Which equation illustrates the matrix associative property of addition

Answers

Answer:

c

cuz it is

first of all 4,3 + 0,0 = 4,3

2,1+0,0 = 2,1

and which is the answer

Please please help me 30 points if you can I need the answer I know how to do it I just suck with the fractions

Answers

Answer:

1

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (-2,4)~ \text{and}~ \text{slope,}~ m = -\dfrac 32\\ \\\text{Equation of line,}~\\\\~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -4 =-\dfrac 32(x+2)\\\\\implies y-4 =-\dfrac 32x - 3\\\\\implies y = -\dfrac 32x -3 +4\\\\\implies y = -\dfrac 32x +1[/tex]

The current equation of the perpendicular line;

 ⇒ is the slope-intercept form: [tex]y= mx + b[/tex]

m: is the coefficient in front of the x, which is also the slope's valueb: y-intercept of the function

Now for the point-slope form, we need a point on the line and the slope of the line:

⇒ we have

slope = -3/2point: (-2,4)

Since this is the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex]

 ⇒ where the (x₁,y₁) is the point on the line and m is the slope

    [tex]= > Equation: (y-4)=-\frac{3}{2}(x+2)[/tex]

To convert the equation to slope-intercept form:

  ⇒ must isolate 'y' to one side and everything to the other side

      [tex]y= -\frac{3}{2}(x+2)+4\\ y=-\frac{3}{2} x-3+4\\y=-\frac{3}{2}x+1[/tex]

Answer: [tex]y = -\frac{3}{2}x+1[/tex]

Hope that helps!

Which expression equivalent to 9q^ 2 - 2 3 (3q-7)+5q^ 2 ? a 9q ^ 2 - 5/3 * q - 3 b 9q ^ 2 - 2q - 3 14q ^ 2 - 2q + 14/3 d 14q ^ 2 - 5/3 * q - 14/3 d

Answers

The equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3

How to determine the equivalent expression?

The expression is given as:

9q^ 2 - 2/3(3q - 7) + 5q^2

Open the bracket

9q^ 2 - 2q - 14/3 + 5q^2

Evaluate the like terms

14q^ 2 - 2q - 14/3

Hence, the equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3

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thank you for this :)​

Answers

Blue = 6x3 = 18
Purple = 4 + (5 x 2) = 14
Orange = 2(2 x 3) = 12
Bottom = 6 x 3 = 18
Back = 4 x 3 = 12
Opposite purple = purple = 14

18 + 14 + 12 + 18 + 12 + 14 = 88

Answer = 88 cm squared

Ms. Rudolph randomly selects one student from a group of students. 14 students are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are wearing a blue shirt.

Show your work to determine the PROBABILITY that the selected student is wearing a BLACK shirt?

You may write your answer as a FRACTION or DECIMAL.

Answers

Answer:

14

29  as a fraction

Step-by-step explanation:

Based on the given conditions, formulate:

14=19+14+6)

2 Calculate

14

9+14+6

Calculate

14

23+6

Calculate the sum or difference

14

29

X

Calculate the sum or difference

14

29

Alternative forms

~ 0.482759, ~ 48.275862%,

4.827586 × 10

Hope it help :)

The roots of the quadratic equation x²+bx+c = 0 are a and ß a) Evaluate i) a² + ß², ii) (a − ß)² b) Find the quadratic equation whose roots are (a² +ß²) and (a - 3)²​

Answers

If ɑ and β are the roots of x² + bx + c = 0, then we can write

x² + bx + c = (x - ɑ) (x - β)

Expanding the right side gives

x² + bx + c = x² - (ɑ + β) x + ɑβ

so that ɑ + β = -b and ɑβ = c.

Recall that for all real numbers m and n,

(m + n)² = m² + 2mn + n²

a) It follows that

(i) ɑ² + β² = (ɑ + β)² - 2ɑβ = (-b)² + c = b² + c

(ii) (ɑ - β)² = ɑ² - 2ɑβ + β² = b² + c - 2c = b² - c

b) I assume you mean to find the quadratic whose roots are ɑ² + β² and (ɑ - β)² (and not (ɑ - 3)²). The simplest quadratic of this form is

(x - (ɑ² + β²)) (x - (ɑ - β)²)

Using the results from part (a), this becomes

(x - (b² + c)) (x - (b² - c))

and expanding, we get

x² - (b² + c + b² - c) x + (b² + c) (b² - c)

= x² - 2b² x + b⁴ - c²

Express Books advertised a college dictionary for $27.65 and a dictionary
software package for $29.80. The state tax is 5.5 percent and the city tax
is 1.5 percent. What is the total purchase price?
O $55.67
O $61.47
O $58.99
O $60.60
A

Answers

The total purchase price of the dictionary and the software package is  $61.47.

What is the total purchase price?

The total purchase price is the sum of the dictionary, software package and taxes.

Total cost of  the dictionary and the software package = $27.65 + $29.80 = $57.45

Total cost after the taxes = ( 1 + 0.055 + 0.015) x $57.45 = $61.47

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