Answer:
if both the electron and proton have the same number then the charge of an atom is neutral because each proton executes each neutron
Evaluate piecewise functions
f (4) = ?
Answer:
f(4) = 9Step-by-step explanation:
x = 4 corresponds to the middle piece of the function, therefore:
f(4) = 4² - 7 = 16 - 7 = 9What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
Suppose a certain manufacturer deposits $7,000 at the beginning of each 3 month period for 8 years in an account paying 8% interest compounded quarterly.
Required:
a. How much (in $) will be in the account at the end of the 6 year period?
b. What is the total amount (in $) of interest earned in this account?
9514 1404 393
Answer:
a) $217,212.10 after 6 years
b) $91,780.99 interest earned
Step-by-step explanation:
The future value of this "annuity due" can be found using the formula ...
FV = P(1 +n/r)((1 +r/n)^(nt) -1)
where P is the periodic payment made n times per year and r is the annual interest rate.
a) After 6 years, the value of the account is ...
FV = $7000(1 +4/0.08)((1 +0.08/4)^(4·6) -1) = $217,212.10 . . . . 6-yr balance
__
b) After 8 years, the value in the account is ...
FV = $7000(51)(1.02^32 -1) = $315,780.99
The total of payments is $7000×32 = $224,000, so the interest earned is ...
I = $315,780.99 -224,000 = $91,780.99 . . . interest earned
Question
If the values of x and y are negative, which of the following values must be positive?
O x2 - y2
O x + y
Ох — у
Find the missing terms of the sequence and determine if the sequence is arithmetic
20, 10, 0, -10 -20
Answer:
yes
Step-by-step explanation:
because it follows a procedure which is -10 i.e. 20-10=10
Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of coples of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 22 coples of History is Fun.
Answer:
please give me brilliant answer
Boundless Algebra
Quadratic Functions and Factoring
Graphs of Quadratic Functions
Parts of a Parabola
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
LEARNING OBJECTIVES
Describe the parts and features of parabolas
KEY TAKEAWAYS
Key Points
The graph of a quadratic function is a U-shaped curve called a parabola.
The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Key Terms
vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.
zeros: In a given function, the values of xx at which y=0y=0, also called roots.
Recall that a quadratic function has the form
f(x)=ax2+bx+cf(x)=ax2+bx+c.
where aa, bb, and cc are constants, and a≠0a≠0.
The graph of a quadratic function is a U-shaped curve called a parabola. This shape is shown below.

Parabola : The graph of a quadratic function is a parabola.
In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.

Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.
Features of Parabolas
Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.
Vertex
One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Axis of Symmetry
Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.
yy-intercept
The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.
xx-intercepts
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).

Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts
Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.
Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the
Based on the picture above, what is the area of the triangle, in units squared?
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Answer:
30 units squared
Step-by-step explanation:
The area is given by ...
A = 1/2bh
A = 1/2(6)(10) = 30 . . . . square units
The area of the triangle is 30 units squared.
5
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.6 feet long, if the remaining piece
needs to be 0.82 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Type your answer.
Answer:
13.8 feet long.
Step-by-step explanation:
The end two pieces are 3.6 feet long.
The middle board must be 0.82 longer than the 3.6 feet.
The easy way to do this is to realize that the length of the middle part is 1.82 times the length of each of the end pieces.
1.82 * 3.6 = 6.552 feet long.
So the total length of the board must be
3.6 + 3.6 + 6.552 = 13.752 feet long. (That's a pretty long board).
Rounded it becomes 13.8 feet long.
I know the answer don’t know how though
Answer:
16384Step-by-step explanation:
As,
[tex] {2}^{15} [/tex]
Meaning that 2 multiplied 15 times here,
Equals 32 768
Now,
[tex] {2}^{14} [/tex]
Meaning that 2 multiplied 15 times then divided by one time 2,
Equals 32 768 ÷ 2 = 16384 (Ans)
A bag contains 15 white balls and 10 black balls,another contains 20 white balls and 15 white balls.if two balls are drawn without replacement from each bag,find the probability that
a)all four are black
b)exactly one of the four are white
Answer:
exactly one of the four are white
Is -2.87 greather than or less than 2.93
Answer:
less than
Step-by-step explanation:
The number is less than 2.93 .
Its absolute value (magnitude) is also less than 2.93 .
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answer:
Step-by-step explanation:
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
Point D divides AB into internal division ratio I:k, E point divides DC internal division ratio m : k+1, find the coordinates of point E.
Really don't know how to solve this, hope someone can help, thank you very much.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
Express the formula V=l x w x h in terms of the width, w. Use your formula to find the width when the volume is 192, the length is 8, and the height is 4
Answer:
6
Step-by-step explanation:
192=8*4*w
make w subject to formula
w=192/32
w=6
The expression of width is w = V/(l*h) and the value of width is 6.
What is substitution of equation to find the expression of width ?Given formula of volume is V = l * w * h .
Substituting width (w) from the above equation,
w = V/(l*h) .
Finding the value of width from the expression -Given expression after substitution is w = V/(l*h) .
⇒ w = 192/(8 * 4)
∴ w = 6 .
Thus the value of width is 6.
Therefore, the expression of width is w = V/(l*h) and the value of width is 6.
To learn more about substitution of expression, refer -
https://brainly.com/question/11388301
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Give the ratio of sin and tan if cos = 5/13
URGENT!!!
Answer: anA=sinAcosA=1213513=1213⋅135=125 .
Step-by-step explanation: your welcome hope this helps
Answer:
[tex] \sin( \theta) = \frac{12}{13} [/tex] = 12:13
[tex] \tan( \theta) = \frac{12}{5} [/tex] = 12:5
Step-by-step explanation:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
adjacent is 5
hypotenuse is 13
[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]
but opposite = √(13² - 5²) = 12
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
19. Solve 5x^2 - 6x + 1 = 0 using the quadratic formula.
Please give detailed steps!!
Answer:
x = -b ± √b²-4ac /2a
a = 5
b= -6
c= 1
x = -(-6) ± √(-6)² - 4(5)(1) /2(5)
x = 6 ± √36 - 20 / 10
x = 6 ± √16 /10
x = 6 ± 4/10
Breaking into respective signs
x = 6 + 4/10 or 6 - 4/10
x = 10/10 or 2/10
x = 1 or 1/5
x = 1 or 1/5.
Answer:
1/5 and 1
Brainliest, please!
Step-by-step explanation:
5x^2 - 6x + 1 = 0
a = 5, b = -6, c = 1
(-b +-sqrt(b^2 - 4ac))/2a
(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)
(6 +- sqrt(16)/10
(6 +- sqrt(16))/10
(6 +- 4)/10
2/10 and 10/10
1/5 and 1
find the midpoint of the line segment with endpoints p1 (5/3,5/12) and p2 (-1/3,7/12)
Please help quickly as possible thank you!
Multiply [tex]Q\cdot P[/tex], quantity and price,
[tex]1.2\cdot5.95=7.14[/tex].
Hope this helps :)
Answer:
$7.14
Step-by-step explanation:
Price of 1 pound cheese=$5.95
Price of 1.2 pounds cheese=$5.95 * 1.2
Price of 1.2 pounds cheese=$7.14
Note:if you need to ask any question please let me know.
Fill in the blanks
Choice for number one:divided by,multiples by,added to,subtracted from
Choice for blank number two:6x18=108,6+18=24, 6+12=18,6x3=18
Choice for blank number 3:6,24,108,3
1) added to
She mixed up multiplying to addition
2) 6x3=18
It should be multiplying because we're comparing, there is also a key word: times as
3) 3
Look back up at 2)!
I hope I've help! If I have or is incorrect, please tell me.
A geometric sequence grows
Answer: B
Step-by-step explanation:
What is the smallest power of 10 that would exceed 987,654,321,098,765,432?
Use the ^ symbol to represent an exponent.
For example, 52 would be written as 5^2.
Answer:
10¹⁸
Step-by-step explanation:
Ten to the power of x, has x many zeroes behind 1
The original numbers had 18 digits. So, 10¹⁸ is the smallest number that would exceed the original number
If y = -18 when x = 3, find x when y =30
Answer:
when x = 18. Putting x = 18 into the equation y = 6/x, we have y = 6/18. Simplifying the fraction gives us y = 1/3.
Step-by-step explanation:
Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie
Answer:
24
Step-by-step explanation:
As a waitress, Willow earns an average of 19% tips on all food sales. Last week she worked three days and sold an average of $426.00 in food each day. How much did Willow earn in tips last week? (4 points)
$80.94
$102.54
$242.82
Answer:
$242.82
Step-by-step explanation:
√20x²•√20x
PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
[tex]20x\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]
= [tex]\sqrt{20x^{2} * 20x }[/tex] | * = ×
=[tex]\sqrt{400x^{3} }[/tex]
=[tex]20x\sqrt{x}[/tex]
Need the answers in 1 minute ASAP
Answer:
d=f(c)=15-c/4
Step-by-step explanation:
Find the distance between (2,0) and (8, -3)
The distance d between the points (Xy, Yı) and (x2, Y2) is
d = Vixz - x,)2 + (y2 - y)2.
O 789
15
13
O 3V5
Answer:
3√5
Step-by-step explanation:
i’m genuinely confused, please help
Answer:
2x + 3 + 3x +12 + 90 = 180 (degree )
5x +105=180 (degree )
5x= 180-105 (degree )
5x = 75 (degree )
x = 75/5 (degree )
x = 15 #
therefore, 2x + 3= 2*15 + 3
=30+3
= 33#
3x + 12 = 3*15+12
= 45 +12
= 57#
30=26-a/6
Solve for a
Answer:
the answer is 24
Step-by-step explanation:
30=26-a\6
collect like terms
30-26 =a\6
4=a\6
Cross multiply
a=4×6
a=24
The solution to the given equation is 24.
The given equation is 30 = 26-a/6.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 30 = 26-a/6
Transpose 26 to the other side of the equation, we get
30-26 = -a/6
-4 = -a/6
4 = a/6
Transpose 6 to the other side of the equation, we get
a = 4×6
a = 24
So, the solution is 24.
Therefore, the solution to the given equation is 24.
To learn more about an equation visit:
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HELP PLEASE IT DUE AT 11:10
Answer:
B
Step-by-step explanation:
The line plot clearly lacks the 3 3/4 which is present in the data