The force, F newtons, exerted by a magnet on a metal object is inversely
proportional to the square of the distance d cm.
When d = 2 cm, F= 50 N.
Express F in terms of d.
Answer:
F = 200/d^2
Step-by-step explanation:
F is inversely proportional to d^2
The equation is;
F = k/d^2
K = F•d^2
so to get k, we substitute the given values
K = 50 * 2^2
K = 50 * 4
K = 200
So we have that;
F * d^2 = 200
F = 200/d^2
Please help ASAP i really need help
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distance from Earth to the sun is 1.5*10^8 miles. The distance from Neptune to the sun is 5.196*10^9. How many times further is it from Neptune to the sun
Answer: Neptune is 34.64 times farther than Earth from the sun.
Step-by-step explanation:
Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex] miles.
Distance from Earth to the sun is [tex]5.196\times10^9[/tex] miles.
Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]
[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]
Hence, Neptune is 34.64 times farther than Earth from the sun.
The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.
Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.
Ratios[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]
[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]
Dividing the given distances
[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]
Learn more about ratios:
brainly.com/question/2065148
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
What is the product of (y + 3) and (7y – 1)?
Answer: =7y^2+20y−3
Step-by-step explanation:
Zachary runs steadily at 10km/hr. HIs distance can be modelled by the equation y=10x, where y gives his distance (km) in relation to time (hrs). The kidnapper runs at 5km/hr (since he's carrying a princess) and is already 30km away when Zachary begins his pursuit. Give the equation for the kidnapper's distance (y) in relation to time (x) in slope-intercept form (y=mx+b) and then, standard form( ax + by+ c=0)
Answer:
tuff
Step-by-step explanation:
Draw an area model to solve 774 divided by 3
2/5 minute = ____ seconds
3/5 hour =_______ minutes
3/5 meter =_____centimeters
Answer:
24 second
36 minutes
60 centimeters
Answer:
A: 24 second
B: 36 minutes
C: 60 centimeters
*URGENT* I NEED HELP WITH THIS QUICK
x
3
4
5
6
y
9
12
15
8
Answer: (x34, y912)
Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)
Answer:
x = 2, y = 6
Step-by-step explanation:
I'm assuming you're finding the pattern and then finding x and y, in which case it would be:
In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.
In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.
Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?
Answer:
1,200
Step-by-step explanation:
What is the domain of the function shown on the graph?
Answer:
The domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
Step-by-step explanation:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.From the given graph, we can easily observe that the graph extends horizontally to the left without bound, as well as to the right without bound.
Therefore, the domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) = f(x - 5)
Graph function g on the same coordinate plane.
Answer:
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Step-by-step explanation:
Please check the attached graph.
From the graph:
The red graph represents the parent function f(x) = xThe blue graph represents the transformed function f(x) = (x-5)We know that Horizontal changes affect the input or domain of a function.
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Answer:
A transformation of the form f(x - c) represents a horizontal translation to the right or left. If c is positive, the function will shift to the right and if c is negative, the function will shift to the left.
To find the function g(x) = f(x - 5), substitute in (x - 5) for x.
Step-by-step explanation:
The distance between Beth's
house and her friend Tristan's
house is 8,000 cm. How many
meters is this?
Answer: 80 meters
Step-by-step explanation:
There are 100cm in one meter.
Do 8,000/100 and you will get 80.
There are 80 meters.
(give brainliest)
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answer:
75°
Step-by-step explanation:
-4(-4d-5)
answer pls kkkkk
Answer:
36
Step-by-step explanation:
-4(-4d-5)
-4x-4=16 (-x-=+)
-4x-5=20
16+20=36
hope this helps
Answer:
16d+20
Step-by-step explanation:
I have the same map test lol
please answer this 2 questions fast step by step ❤️
Answer:
4). [tex]-\frac{27}{28}[/tex]
5). Amount payable by the customer = 1416 Rs.
Step-by-step explanation:
4). [tex](\frac{3}{7})\times (-\frac{5}{8})\div (\frac{1}{3}\times \frac{5}{6})[/tex]
= [tex](-\frac{15}{56})\div (\frac{5}{18})[/tex]
= [tex](-\frac{15}{56})\times \frac{18}{5}[/tex]
= [tex]-\frac{54}{56}[/tex]
= [tex]-\frac{27}{28}[/tex]
5). Cost of the item = Rs 1200
G.S.T. applicable on this item = 18%
Amount to be paid for G.S.T.= 1200 × [tex]\frac{18}{100}[/tex]
= Rs 216
Total amount payable by the customer = Cost + G.S.T.
= 1200 + 216
= Rs 1416
find the equation of the the line -1/4 that passed through the point (12,-4).
Find sin(90°).
45°
A.0
В.1
C. square 2
D. square 2 / 2
Answer:
sin90° = 1.
Step-by-step explanation:
Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.
Therefore sin90° = Hypotenuse/Hypotenuse = 1.
Use synthetic division and the Remainder Theorem to find P(a).
P(x)= x^4+ x^3- 5x^2 + 9x-6; a=3
Answer:
Since i'm only substituting 3 with x, why am using synthetic division and the remainder theorem?
tho, putting 3 in, it would be
81 + 27 -45 + 27-6
= 108 -51 +27
=84
Step-by-step explanation:
At the age of 14, Lois was 5 foot 3 inches tall. After hitting a growth spurt, at the age of 16, Lois was 5 foot 11 inches tall. What is the percent of increase in Lois' height over that time?
Answer:
I don't drive r8s I don't like those I drive a Daytona and I tinted the windows
Answer:
c
Step-by-step explanation:
Hurry please! Thank you I really appreciate it :)
Answer:
5 meters
Step-by-step explanation:
Solve for h in the following equation: — 6 (h + 2) = 72
10
-10
76
-14
Answer:
-6h -12 = 72
-6h = 72 + 12
-6h = 84
h = -14
The amount sabrina earns varies directly with the number boxes of cookies she sells.How much does Sabrina earn for eah box of cookies that she sells?
The question is incomplete :
The amount sabrina earns varies directly with the number boxes of cookies she sells.How much does Sabrina earn for eah box of cookies that she sells?
Earning (y) : ____ 5 ____ 10 ____ 15 ____ 20
Boxes sold (x) :__ 2 ____ 4 _____ 6 ____ 8
Answer:
$2.5
Step-by-step explanation:
Given:
Earning varies directly as the number of boxes of cookies sold
y α x
y = kx - - - (1)
k = constant of proportionality (earning per box of cookies sold)
Taking any 2 points :
y = 10 ; x = 4
10 = k4
10 = 4k
Divide both sides by 4
10/4 = 4k/4
2.5 = k
Hence, the amount earned per box of cookies sold is $2.5
please help with 11 & 12
x=12
y=8
z=3
Answer:
11. 24
12. 253
hope it's helpful ❤❤❤❤
THANK YOU
Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on the rack?
Answer:
34
Step-by-step explanation:
42 dvds total but there is room for 8 more so
42 total size - 8 more can fit = 34 on the rack
i think im right unless i missunderstood the question
Answer:
34
MARK BRAINLIEST
Solve for x please!!!!!nowwww
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Can some one solve 4 for me plz I’ll give a crown
Answer: I'm pretty sure it's the 3rd one
Step-by-step explanation:
Use inverse operations to solve the equation.
−4x = 52
Answer:
x=-13
Step-by-step explanation:
divide 52 by -4 to get x=-13
Answer:
x = -13
Step-by-step explanation:
−4x = 52
Divide both sides by -4 to isolate the variable
-4x/-4 = 52/-4
x = - 13
Check:
Substitution
-4 (-13) = 52
52 = 52
* 2 negatives make a positive
Hope this helped!