Answer:
The value of the mutual force between them is 3.6 x 10⁶ N
Step-by-step explanation:
Given;
distance between the two-point charges, r = 2000 m
the value of the two-point charges, q₁ and q₂ = 40 C and -40 C
Coulomb's constant, k = 9 x 10⁹ Nm²/C²
The value of the mutual force between them is calculated by applying Coulomb's law;
[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]
Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.
What is the mesure of angle AXB?
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
ANSWER:
200 millimetre
====================================================
Work Shown:
1 meter = 100 cm
3 meters = 300 cm (multiply both sides by 3)
15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.
------------
Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens
20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km
It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.
------------
Let's convert to mm and see what happens
20 cm * (10 mm/1 cm) = 200 mm
Through trial and error, we arrived at the final answer.
In a 3-digit number, the hundreds is one more than the ones digit and tens digit is twice the hundred digit. If the the sum of the digits is 11, find the number.
Answer:
362
Step-by-step explanation:
Let u = the units digit
2(u + 1) = the tens digit
u + 1 = the hundreds digit
u + 2(u + 1) + u + 1 = 11
u + 2u + 2 + u + 1 = 11
4u + 3 = 11
4u = 8
u = 2 = ones digit
u + 1 = 3 = hundreds digit
2(u + 1) = 2(3) = 6
The number is 362
What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Step-by-step explanation:
the arithmetic mean are 14
A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
PLEASE HELP!!!
Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11
Answer:
B. y= -½x + 11
Step-by-step explanation:
_______________
Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)
Answer:
A
Step-by-step explanation:
Log poperties
Find the measure of each angle indicated. It’s two questions.
11)
A) 41
B) 45
C) 49
D) 42
12)
A) 68
B) 85
C) 70
D) 71
LABEL THE TRIANGLE!! PLEASE HELP!!
Answer:
Determination of HYP,OPP,ADJ with respect to x.
Opposite side of right angle:Hypotenuse: AC
Opposite side of given angle: Opp:BC
remaining side of a triangle: Adjacent:AB.
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)
Answer:
10
Step-by-step explanation:
Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2
sqrt_/(-9-(-3))^2 + (3-(-5))^2
sqrt_/(-6)^2 + (8)^2
sqrt_/36+64
sqrt_/100
Simplify and you get the number 10.
PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!
Answer:
x-intercept: 15
y-intercept: -6
The slope is positive because 2/5 (the slope) is positive.
Step-by-step explanation:
The x-intercept is where the line crosses the x-axis.
The y-intercept is where the line crosses the y-axis.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answer:
$29, that is the answer for this question
What is the slope for y = - 6x + 12 on a graph
Answer:
For question A) y = -6 , b = 12
For question B) x = 2
Step-by-step explanation:
(5. solve for x )
2/5 + x = 1
Please help. Thank you....
Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}
What is the perimeter of the garage if d=3
I’m marking branliest
Answer:
perimeter= 46
Step-by-step explanation:
(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)
7 + 7 + 16 + 16
= 46
I need to find this angle please help i know it is adjacent but i need the angle.
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
148°
Step-by-step explanation:
A flat angle measures 180°
180° - 32° = 148°
The radius of a circle is 11 meters. What is the circle's area?
Answer:
379.94 m²
Step-by-step explanation:
3.14×11²= 379.94 m²
Step-by-step explanation:
The area of a circle is
π[tex]r^{2}[/tex]
The r is 11 so we get 11^2 * π
121π is our exact area,
380.13 m^2 is our approximate area
If you have 5 questions and get an 80% how many questions did you get wrong?
Answer:
4
Step-by-step explanation:
A snow cone cup is 12cm tall and has a diameter or 8cm find the volume of the flavored ice that can be held inside the snow cone cup
Answer:
200.96 cm³
Step-by-step explanation:
Volume of a cone = πr²h/3
Pi, π = 3.14
Radius, r = diameter/2
= 8 cm/2
= 4 cm
Height, h = 12 cm
Volume of a cone = πr²h/3
= 3.14 * (4 cm)² * 12 cm / 3
= 3.14 * 16 cm² * 12 cm / 3
= 602.88 cm³/3
= 200.96 cm³
Volume of a cone = 200.96 cm³
Please help 15 points!!!
Answer:
20 m²
Step-by-step explanation:
Figure 1: 4 x 4 = 16
Figure 2: 2 x 2 = 4
16 + 4 = 20
ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?
Answer:
I got 45
Step-by-step explanation:
so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.
Answer:
Formula of trapezoid:
B1(base 1) + B2(base 2) x Height(h) x 1/2
Area of Trapezoid:
10(base 1) + 6(base 2) = 16
16 x 5 = 80
80 x 1/2 = 40
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two marbles, without replacement, that are both black? Answer as a decimal to the nearest thousandths place (3 after the decimal).
Answer:
.065
Step-by-step explanation:
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18
P(1st black) = Black/total = 5/18
You keep the marble
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17
P(2st black) = Black/total = 4/17
Multiply the probabilities together
P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065
I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?
The question is incomplete. The complete question is :
Two companies modeled their profits for one year.
Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.Which statement describes the relationship between the profits, predicted be the models, of the two companies?
Solution :
For one year, the two companies A and B modeled their profits.
It is given that :
Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].
But the company B uses the data in the table in order to write the linear model to represent their monthly income.
We know the linear function is given by :
[tex]$P(t)=mt+c$[/tex]
Here, m = slope of line
c = y-intercept
According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :
[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]
The point [tex](3.5)[/tex] passes through the given line.
∴ [tex]$5=5(3)+c$[/tex]
[tex]$5=15+c$[/tex]
[tex]$c=5-15$[/tex]
[tex]$c=-10$[/tex]
Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]
So, at [tex]t=4[/tex],
the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]
= 6.91
the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]
= 20 - 10
= 10
Therefore, [tex]t=4[/tex], the profit of the company B is more than the profit of company A.
Now at [tex]t=12[/tex],
Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]
= 102.05
Profit of company B is [tex]P(12)=5(12)-10[/tex]
[tex]$=66-10$[/tex]
= 56
Therefore, the profit of company A is more that that of company B at the end of the year one.
Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.
Option (B) is the correct answer.
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units