Answer:
y - 1 = (-2/3)(x + 9)
Step-by-step explanation:
Here you are given a point on a line and the slope of the line. You'll need to apply the "point-slope" formula
y - k = m(x - h) (Memorize this)
Then m = slope = -2/3, h = -9 and k = 1.
Making the appropriate substitutions, we get:
y - 1 = (-2/3)(x + 9)
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)
Answer:
ΔV = 2520 V
Step-by-step explanation:
We are given;
Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²
Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²
Now, formula for electric field strength is;
E = -(½ε)(|σ1| ± |σ2|)
ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²
|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.
Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;
E_in = -(½ε)(|σ1| + |σ2|)
E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]
E_in = -4200 V/m
In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;
E_out = -(½ε)(|σ1| - |σ2|)
E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]
E_out = 1400 V/m
The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;
From the attachment, we see that;
ΔV = 2520 V
Which of the q-values satisfy the following inequality?
6-3q≤1
Answer:
[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.
Answer:
100 miles
Step-by-step explanation:
Let the number of miles driven = x
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.
$55 + $0.25x
55 + 0.25x
For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.
$45 + $0.35x
45 + 0.35x
Equation :
55 + 0.25x = 45 + 0.35x
The number of miles for which the companies’ charges will be the same is calculated as:
55 + 0.25x = 45 + 0.35x
Collect like terms
55 - 45 = 0.35x - 0.25x
10 = 0.10x
x = 10/0.10
x = 100 miles
The number of miles for which the companies’ charges will be the same is
100 miles.
Is 6.825 rational or irrational
Answer:
rational since all decimals that terminate are rational here is a sheet to help
6.825 is rational number.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.
Given number: 6.825
Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.
So, we can see that 6.825 is terminating decimal.
Learn more about rational and irrational number here:
https://brainly.com/question/24398433
#SPJ2
A package of 5 pairs of insulated gloves costs $33.95. What is the unit price of the pairs of gloves?
Answer:
6.79
Step-by-step explanation:
Divide the number of whatever you have, by the price of it in total to find the unit price.
Answer:
$6.79 per pair
Step-by-step explanation:
1. Divide
33.95/5
2. Simplify
33.95/5=$6.79
Can someone please help me this question. It’s due today I will appreciate it .
Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer
Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.
Answer:
2
Step-by-step explanation:
The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2
I need help please, can you help me?
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
A geologist digs 5 feet down into the ground before taking a break. This process is repeated 3 times to create a hole that has a total depth of 15 feet. Which equation represents the hole’s depth in relation to ground level?
Answer:
38
Step-by-step explan
bc ik
8. What is the result of (11x + 18i)(117 - 18i)?
12 hours and 19 minutes multiplied by 10
Answer:
7390
Step-by-step explanation:
there are 720 mins in 12 hours plus the 19 mins is 739 times 10 is 7390
during a pickup basketball game the ratio of players on the red team to players on the blue team was 5:6. Write whether each statement is true or false
Answer:
false
Step-by-step explanation:
thats not fair for the other team
Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction?
0.3 repeating
Answer:
1
Step-by-step explanation:
need help please help its imporant
Answer:
x = 20
Step-by-step explanation:
Let's look at the first parallel lines (the ones with one arrow).
Because both these lines are parallel, we can say that (3x + 2) and (4x - 18) are equal due to the alternate interior angles theorem.
So we have to make both of these expression equal to each other, and then solve:
3x + 2 = 4x - 18
-x = - 20
x = 20 < --- this is your answer
Hope this helps!
2/3y + x =4 Solve for y
Answer:
y = -3x + 12/2
Step-by-step explanation:
Step 1: Add -x to both sides
x + 2/3 + -x = 4 + -x
2/3y = -x + 4
Step 2: Divide both sides by 2/3
2/3y ÷ 2/3 = -x + 4 ÷ 2/3
y = -3x + 12/2
Reciprocal for one as a fraction please help fast
Answer:
the reciprocal of one is [tex]\frac{1}{1}[/tex] it doesn't really make a difference it's still 1
Step-by-step explanation:
1What is 1/7 of 21 ?
The Answer is 3
All you need to do is multiply 7 and 1 then divide.
{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
What value of x satisfies the system of equations below?
x = 8 – 2y
x + 3y = 12
A.
4
B.
0
C.
16
D.
5
Answer:
I think it is B) 0
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Michael is using a number line to evaluate the expression –8 – 3.
A number line going from negative 12 to positive 12. A point is at negative 8.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?
Michael could rewrite the expression as Negative 8 + 3 and move 3 spaces to the right.
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the right.
Michael could rewrite the expression as Negative 8 + 3 and move 3 spaces to the left.
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the left.
Answer:
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the leftStep-by-step explanation:
Given
Expression
-8 - 3Solving
-8 - 3 = (-8) + (-3) = - 11-11 is smaller than -8 and therefore is on the left from -11 by 3 spaces
Correct choice is:
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the leftAnswer:
Answer is D.
Step-by-step explanation: If you see all the answers, C. has no negative sign included into it, so its not C, and its not A or B because they move to the RIGHT side. Therefore, D is your answer.
Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.
Answer:
37: 36
Step-by-step explanation:
You can not simplify. Have a good day!
PLEASE HELP! 50 points!
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3
Answer:
C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.
Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)
A) 3.1 B) 60 C) 12 D) 30
Jan and Julie went for a bike ride. They started their ride at 09:30 and finished at 15:15. • They stopped for a drink for 20 minutes • They took 45 minute for lunch • They rested for 10 minutes. How long were they riding on their bikes for? (excluding stops)
Given:
Jan and Julie started their ride at 09:30 and finished at 15:15.
Stopped for a drink = 20 minutes
Lunch = 45 minute
Rest = 10 minutes
To find:
Time they are riding on their bikes (excluding stops).
Solution:
Jan and Julie started their ride at 09:30 and finished at 15:15.
So, total time of ride including stops is 5 hours 45 minutes or we can say 345 minutes calculated as
[tex]30+60+60+60+60+60+15=345\text{ minutes}[/tex]
We need subtract Drink, lunch and rest time from the total time to get the Time they are riding on their bikes (excluding stops) is
[tex]345-20-45-10=270 \text{ minutes}[/tex]
Therefore, the total time they are riding on their bikes (excluding stops) is 270 minutes.
14x2 + 28x5=
???????????
Answer:
168
Step-by-step explanation:
Meg is a veterinarian. I. Given week , 50% of the 16 dogs she saw were boxers . Steve is also a veterinarian. In the same week , 7 of the 35 dogs he saw this week were boxers. Each wants to know the record the part , the whole and the percent. Does meg need to find the part the whole or the percent
In this situation, Meg will need to find the whole because she already has the part and the percentage.
What is a whole?In mathematics, a whole represents the total number of items that are analyzed, in this case, the total number of dogs.
What is the part?The part refers to a number that is usually lower than the whole and describes specific characteristics. For example, in a classroom of 30 kids, 20 like to play basketball. Then 20 is the part.
What is the percentage?The percentage is the number followed by the symbol % and represents the relationship between the part and the whole. In this case, the percentage of boxers is related to the number of total dogs.
Based on this, Meg already has the percentage (50%), and the part (16), therefore, she needs to find the whole or the total number of dogs, in this case, 32.
Learn more about percentage in: https://brainly.com/question/7624715
She needs the find the whole
RE
What is the common difference in the following arithmetic sequence?
7, 3,-1, -5, ....
-3
4
12
Answer:
d = - 4Step-by-step explanation:
[tex]a_1=7\\a_2=3\\\\d=a_2-a_1=3-7=-4[/tex]Your bank charges $0.35 per check plus a service charge of $8.50. What fees would you pay for one month if you
write six checks this month
Answer:
your fee would be $10.60
Step-by-step explanation:
You would do 6*0.35 which gives you an answer of 2.1 then you would add 8.5 to give you your answer of 10.6
What is the solution of 3x+8/x-4>_0?
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Answer:
The answer is C on Edge
Step-by-step explanation:
any luck of help? I'll brainlist uu promise . I really need it for correction :)
Answer:
the cist of entry for x adults
Answer:
i think it would be d)
Step-by-step explanation:
cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable
hope this helped :)