Answer:
I) no charge
ii) it will be positively charged
iiI) it will be negatively charged
Step-by-step explanation:
An atom is composed of electrons, neutrons and protons. Electrons are negatively charged while protons are positively charged. The number of electrons and protons in a neutral atom are exactly the same. This ensures the electrical neutrality of the atom.
However, if an atom looses an electron, there are now more protons than electrons present in the atom hence the atom is positively charged.
Similarly, if an atom gains an electron, it now contains more electrons than protons, hence it is negatively charged.
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!
Answer:
97
Step-by-step explanation:
Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.
5x + 17 = 8x - 31
Now simply just solve for "x"
5x + 17 = 8x - 31
5x + 48 = 8x
48 = 3x
48/3 = 3x/3
16 = x
Once you get x, plug it into the equation "RS = 5x + 17"
5(16) + 17
80 + 17
97, which is our final answer.
Please help me understand this. Thank you! Gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x: A graph titled Song Downloading shows the Number of Weeks on x-axis and Number of Songs Left to Download on the y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0. Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points) Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
Rate of Change/Slope = -20
Equation: y= -20x +100
Step-by-step explanation:
A. We know the rate of change is also known as the slope. If we used the slope formula to find the slope we can find the Rate of Change.
[tex]\frac{y2 - y1}{x2 - x1} = \frac{100-80}{1-2} = \frac{20}{-1} = -20[/tex]
B. Since we know the slope and 1 point on the graph we can substitute them in for 'b'
(0,100)
(100)=-20(0) + b
b = 100
Since we know the slope and the b value we can write the equation:\
y = -20x +100
The rate of change refers to the slope of the line, that is the change in y-axis per unit change in the value on the x-axis. Hence, the rate of change is :
Slope = - 20y = -20x + 100Slope = Rise / Run Rise = (y2 - y1) = (0 - 100) = - 100Run = (x2 - x1) = (5 - 0) = 5Slope = - 100 / 5 = - 20
General form of a slope - intercept relation :
y = bx + cThe intercept, c can be calculated thus:
100 = - 20(0) + c
100 = 0 + c
c = 100
Hence, the slope - intercept equation will be y = - 20x + 100
Learn more : https://brainly.com/question/18479471
Plz help will give brainlist
Given the diagram below , what is sin(30”)?
A. 1/2
B. 1/3
C. 1/4
D. 3/4
Answer:
Sin( 30 ) is 1/2 .
A is the best / correct answer .
Please solve, will give BRAINLIST!!
Answer:
x = 19 1/3
Step-by-step explanation:
6/14 = 7/(x-3)
Using cross products
6 * (x-3) = 7*14
6x -18 = 98
Add 18 to each side
6x-18+18 =98+18
6x = 116
Divide each side by 6
6x/6 = 116/6
x =58/3
x = 19 1/3
Answer= 58/3
Step by Step
Step 1: Cross-multiply.
6*(x−3)=(7)*(14)
6x−18=98
Step 2: Add 18 to both sides.
6x−18+18=98+18
6x=116
Step 3: Divide both sides by 6.
6x /6 = 116 /6
x= 58 /3
An 8μC charge is moving through a 10T magnetic field at a speed of 2.5⋅107 m/s perpendicular to the direction of the field. What is the force on the charge
THIS IS YOUR ANSWER
HOPE IT HELPS YOU
If the Cost price of the an article is greater than the selling price, we have a ____?
Answer:
loss
Step-by-step explanation:
Selling an item for less than was paid gives a loss
Selling an item for more than was paid gives a profit
Can someone help me with this page I don’t know how to do this type of math
Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw
Answer:b
Step-by-step explanation:
Rocket science
10
19 Solve the simultaneous equations.
You must show all your working.
x = 7 – 3y
x2 - y2 = 39
Answer:
x= -8 , y = 5
x= 25/4 , y = 1/4
Step-by-step explanation:
substitute first eqn into the second eqn:
(7 - 3y)^2 -y^2 = 39
49 - 42y + 9y^2 - y^2 = 39
8y^2 - 42y +10 =0
4y^2 - 21y + 5 = 0
(4y-1) (y-5) = 0
y= 1/4 , 5
when y=1/4
x = 7- 3/4
=25/4
when y= 5
x = 7- 15
= -8
The required solution of the given simultaneous equations are x = -8, 25/4 and y = 5, 1/4.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
x = 7 – 3y - - - - -(1)
x² - y² = 39 - - - - (2)
Put x from equation 1 in equation 2
(7 - 3y)² -y² = 39
49 - 42y + 9y² - y² = 39
8y² - 42y +10 =0
4y² - 21y + 5 = 0
(4y-1) (y-5) = 0
y= 1/4 , 5
Substitute this values in the equation 1,
x = -8 and 25/4
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ5
A business tenant has a percentage lease stating rent payment is greater of 2% of the business's total gross sales volume or a minimum base rental of $1,000.00 per month. In the past year, sales totaled $435,000. How much rent did the business pay?
Answer:
The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.
Step-by-step explanation:
7. Consider a topograph with values 1,7,-2 as in the margin (pictured).
Fill in the ?s to satisfy the arithmetic progression rule
Answer:
see below
Step-by-step explanation:
The "arithmetic progression rule" requires the numbers on either side of an edge make an arithmetic progression with the numbers at either end.
If we label the variables 'a', 'b', 'c' clockwise from top, then the rule means we have ...
2a -b +2c = 1
2a +2b -c = 7
-a +2b +2c = -2
Solution
Adding twice the second equation to each of the other two gives ...
2(2a +2b -c) +(2a -b +2c) = 2(7) +(1)
6a +3b = 15 . . . . [eq4]
and
2(2a +2b -c) +(-a +2b +2c) = 2(7) +(-2)
3a +6b = 12 . . . . [eq5]
Subtracting [eq5] from twice [eq4] we have ...
2(6a +3b) -(3a +6b) = 2(15) -(12)
9a = 18
a = 2
From [eq4], we can find b:
b = (15 -6a)/3 = 5 -2a = 5 -2(2) = 1
From [eq2] we can find c:
c = 2(a+b) -7 = 2(2+1) -7 = -1
These values are shown on the diagram below.
find the sum or difference of 24-16
Answer:
24+16= 40
24-16=8 if it's wrong, try and make ur question more specific, thanks
Answer:
8 or 40
Step-by-step explanation:
24-16=8
24+16=40
The entrance fee to a local waterpark is $28 per person. At the waterpark, you can rent a raft for $2.50 per hour. Which expression is equivalent to
the amount it would cost Colton for h hours in the park if he rented a raft? �� 2.50h - 28
�� 2.50 (h - 28)
�� 2.50h + 28
�� 2.50 (h + 28)
Answer:
C
Step-by-step explanation:
The 28 is independent of the number of hours. Both B and D are incorrect.
You don't subtract the 28 from the total. That's part of the total. A is wrong.
The answer is C
I need help ASAP!! Please explain how to solve the question
Answer:
318
Step-by-step explanation:
Let's divide this shape into 2 triangles & 3 rectangles.
Area of Triangle = 1/2 (bh)
(1/2 (9x6) ) x 2 = 54
Area of Rectangles = (9x11) + (8x11) + (7x11)
= 264
264 + 54 = 318km^2
Answered by g a u t h m a t h
what are some words that relate to geometry but are difficult to precisely define?
Look at the figure below: Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE = EC and ED = BE Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? HELPPPPP MEEEEEE WILL GIVE BRAIN POINTS
Answer:
AEB and CED
Step-by-step explanation:
Given the two pairs of congruent sides, you now use the vertical angles as the pair of congruent included angles, <AEB and <DEC.
The congruent triangles are:
AEB and CED
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
12 farmers harvest the crops in a field in 20 hours. How much workers will be required to do the same work in 8 hours?
Answer:
x2 # of farmers
y2 # of hours
x1# unknown workers
x2# amount wanted
x1 y1 = x2 y2
x1 (8) = 12(20)
x1 = 12(20)/8
x1 = 30
30 Farmers needed to complete the same work in 8 hours.
Evaluate Equation
Please Help Me!!
Answer:
C
Step-by-step explanation:
7+(-4x^2) where x=0, 7+0=7
Answer:
C. 7
Step-by-step explanation:
[tex]7+(-4x^2)[/tex]
Replace x with 0
[tex]7+(-4(0)^2)[/tex]
0 squared is 0. -4 times 0 is also 0.
7+0=7
I hope this helps!
I need HELP ASAP!! Please explain how to solve the problem
Answer:
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
Where [tex](h,k)[/tex] is the center of the circle and ([tex]a[/tex]) is the circle's radius. Please note, that the circle ([tex](x-h)^2+(y-k)^2=a^2\\[/tex]) has a center that is (h) units to the right of the origin, and (k) units above the origin.
The given circle has a center at [tex](-1,-4)[/tex], moreover, its radius is (3) units. Therefore, one must substitute these points into the equation of a circle and simplify to find its equation:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
[tex](x-(-1))^2+(y-(-4))^2=(3)^2\\[/tex]
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Answer:
Step-by-step explanation: Let's first determine the center of the circle
which is represented by the red dot and it has the coordinates (-1, -4).
The radius of the circle is a segment that joins the center of the
circle to a point on the circle and all radii of a circle are congruent.
The radius of the circle shown here is 3.
Now, the equation of a circle is (x - h)² + (y - k)² = r² where
(h, k) is the center of the circle and r is the radius.
Now we plug all our given information into the formula.
So we have [x - (-1)]² + [y - (-4)]² = (3)².
Notice that I changed the parentheses in the formula to brackets
so that we wouldn't be dealing with too many sets of parentheses.
Changing the brackets back to parentheses,
our equation is (x + 1)² + (y + 4)² = 9.
name all sets of number for -15
Answer:
all negative number to -15
simpily 2^3×3^2=6^5
Answer:
2^3×3^2=6^5 equation is wrong because
2×2×2×3×3=72
6^5=6×6×6×6×6=36×36×6=7776
the two numbers are not equal
Mate, I think your question is wrong ! ;(
[tex]Corrected \\ Question...\\[/tex] (2^3)^2*(3^2)^3=6^5
how do you solve for(−5)^5(−5)^−6
Answer:
-1/5
Step-by-step explanation:
We know that a^b * a^c = a^(b+c)
(−5)^5(−5)^−6
(-5) ^(5+-6)
(-5)^-1
We know that a^-b = 1/a^b
1/(-5)^1
1/-5
-1/5
12 divided by 458 in long division please answer correctly please help.
Answer:
600 is the missing space
Step-by-step explanation:
rate me brainliest plz
CAN SOMEONE HELP ME ASAP? The density of a certain material is such that it weighs 7 ounces for every 2.5 gallons of volume. Express this density in tons per cubic meter. Round your answer to the nearest hundredth.
Answer: Density = 0.23 tons per cubic meter.
Step-by-step explanation:
Formula : [tex]Density=\dfrac{Mass(in \ ton)}{Volume (in\ m^3)}[/tex]
1 ton = 32000 ounces
⇒ 1 ounce = 0.00003125 ton
⇒ 7 ounces = 7(0.00003125)= 0.00021875 ton
1 gallon = 0.00378541 cubic meter
2.5 gallons = 0.009475 cubic meter
Density= [tex]\dfrac{0.00021875}{0.009475}\text{ tons per cubic meter}[/tex]
[tex]\dfrac{21875}{94750}\text{ tons per cubic meter}\approx0.23\text{ tons per cubic meter}[/tex]
Hence, Density = 0.23 tons per cubic meter.
Answer:
0.02 tons per cubic meter
Step-by-step explanation:
hi there can you please help me
[tex]t = \sqrt{ \frac{ab - s}{r + ak} } [/tex]
[tex]t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}[/tex]
Please help if possible its important!!
Answer:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]
[tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]
H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Please help me
will give the brainliest!
need explanation
The hypotenuse of a right angled triangle is 8 cm more than its shortest side. The third side is 1 cm shorter than the hypotenuse. Find the three sides of ths is triangle.
Answer:
hypotenuse = 13
shortest side = 5
third side = 12
Step-by-step explanation:
Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that
a²+b² = c² using the Pythagorean Theorem.
We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b
c= 8+a
c-1 = b
a²+b² = c²
One thing we can do is to solve for everything in terms of c and solve the third equation from there
c= 8+a
subtract 8 from both sides
c-8 = a
a²+b² = c²
(c-8)²+b² =c²
b = c-1
(c-8)² + (c-1)² = c²
expand
c²-16c + 64 + c² - 2c + 1 = c²
2c² - 18c + 65 = c²
subtract c² from both sides to make this an equation that we can more easily solve
c² - 18c + 65 = 0
To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have
c²-13c-5c + 65 = 0
c(c-13) -5(c-13) = 0
(c-5)(c-13) = 0
Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12
If 2/3 inch on a map corresponds to an actual distance of 9 miles, what distance on the map will represent 21 miles?
Answer:
14/9 inches, or an inch and 5/9 of an inch.
Step-by-step explanation:
If 2/3 inch is the same as 9 miles, then x inches represents 21 miles. We can then set up a proportion.
[tex]\frac{\frac{2}{3} }{9} =\frac{x}{21}[/tex]
9 * x = (2/3) * 21
9x = 2 * 7
9x = 14
x = 14/9 inches.
Hope this helps!
Answer:
1 5/9 ich represent 21 miles
Step-by-step explanation:
Proportions:
2/3 inch ⇔ 9 miles
M inch ⇔ 21 miles
M = 21*(2/3) / 9
M = 14/9
14/9 = 9/9 + 5/9 = 1 + 5/9 = 1 5/9 inch