Answer:
When n is 1
12-n
=12-1
=11
When n is 2
12-n
=12-2
=10
When n is 3
12-n
=12-3
=9
When n is 4
12-n
=12-4
=8
When n is 10
12-n
=12-10
2Which equation can be used to find the measure of angle BAC? A.) inverse tan (5/12) B.) inverse cos (5/13) C.) inverse sin (12/5) D.) inverse tan (12/13)
Answer:
B
Step-by-step explanation:
The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.
Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
Result = 9b/25 or 36b/100
Step-by-step explanation:
The number is b
step 1
b is decreased by 40%
value of 40% of b = 40/100 *b = 4b/10
New value after this change = b - 40% decreased value of b = b -4b/10
= (10b-4b)/10 = 6b/10
Step 2 The new value obtained is again decreased by 40%
value of 40% number found in step 1 = 40% of value found in step 1
value of 40% number found in step 1 = 40/100 * 6b/10 = 24b/100
This value (24b/100) is subtracted from value found in step 1(6b/10) as given that value obtained is decreased by 40%
new value found after 40% decrease = 6b/10 - 24b/100
new value found after 40% decrease = 60b/100 - 24b/100= 36b/100
new value found after 40% decrease = 36b/100 = 9b/25
Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25
*remember to always be nice!
Have an outstanding day
The final Result is 36x/25
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
let the number be x
x is decreased by 40%
40% of x = 40/100 * x = 4x/10
After decreasing
= x- 4x/10
=6x/10
Again decreasing 40%
Then , the value will be
= 6x/10- 0.4*6x/10
=6x/10- 02.4x/10
= 3.6x/10
= 36x / 100
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please help i was struggling
Answer:
slope is 2 y intercept 7
Step-by-step explanation:
The y intercept is the value when x =0
(0,7) means the y intercept is 7
We can find the slope using
m = (y2-y1)/(x2-x1)
m = ( 11-9)/(2-1)
= 2/1
= 2
Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books. Which equation models the situation?
Answer:
3.95m + 8.95b = 47.65
Step-by-step explanation:
m is the number of magazines, and b is the number of books. If it costs $3.95 for each magazine, you will get 3.95m. If it costs $8.95 for each book, you will get 8.95b. Both of these values add up to the total, which is $47.65.
3.95m + 8.95b = 47.65
Answer:) 3.95m+8.59b=47.65
Step-by-step explanation:) edge 2023
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
A. (-6, 0)
B. (0, -6)
C. (0, 2)
D. (2, 0)
The graph of the question is attached.
Answer:
The point is (x, y) = (0, 2)
The correct option is C.
Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.
Step-by-step explanation:
From the given graph, the points A and B are
[tex](x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\[/tex]
The slope of the equation is given by
[tex]m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\[/tex]
We know that the slopes of two perpendicular lines are negative reciprocals of each other.
[tex]m_2 = - \frac{1}{m_1}[/tex]
So the slope of the other line is
[tex]m_2 = \frac{1 }{3} \\\\[/tex]
Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.
From the graph, the coordinates of point C are
[tex](x_1, y_1) = (6, 4)[/tex]
The point-slope form is given by,
[tex]y - y_1 = m(x -x_1)[/tex]
Substitute the value of slope and the coordinates of point C
[tex]y - 4 = \frac{1 }{3} (x - 6)\\\\[/tex]
To get the y-intercept, substitute x = 0
[tex]y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\[/tex]
So, the point is
[tex](x, y) = (0, 2)[/tex]
The correct option is C.
Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.
Answer:
C (0, 2)
Step-by-step explanation:
What is the answer to 15a + 9 =
Answer:
[tex]a=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]
Answer:
Step-by-step explanation:
Use distributive property
15a + 9 = 3*5*a + 3*3
= 3 (5a + 3)
Find the slope of the line that passes through:
(-2,-5) and (8, -11)
Answer:
Slope= [tex]\frac{-3}{5}[/tex]
Step-by-step explanation:
(-2 , -5) ; (8,-11)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]
Please urgently please❤️ Please help
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
PLEASE HELP!! 85 POINTS!!
Answer:
20
Step-by-step explanation:
Angle EAC and angle GCJ are corresponding angles.
So angle EAC is equal to 70 degrees.
Angle KAE is a right angle, so it is 90 degrees.
Angles on a line add up to 180 degrees.
x + 90 + 70 = 180
x = 180 - 160
x = 20
Answer:
The measurement of ∠x is 20°
Step-by-step explanation:
From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.
So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.
We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.
So, now we can find x. Set up equation.
70 + x + 90 = 180
Add 70 to 90.
x + 160 = 180
Subtract 160 on both sides.
x = 20
So, the value of x is 20°
The vertices of are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that is isosceles.
Answer:
See explanation
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Isosceles Triangle: 2 sides are the same
[tex]d = \sqrt{(4 - 7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
[tex]d = \sqrt{(10-4)^2+(-3+3)^2} = 6[/tex]
[tex]d = \sqrt{(10-7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
Since we have 2 distances between the vertices the same, we have an isosceles triangle.
PLEASE ANSWER HURRY!!!!!
Answer:-1
Step-by-step explanation:
rene is 6 years older than her younger sister after 10 years the sum of their ages will be 50 find their persent ages
Answer:
Rene = 18
Sister = 12
Step-by-step explanation:
Let
Rene's age be 6+x
Her sister's age be x
Given that:
6+x+10+x+10 = 50
To calculate their ages, we have to find out the value of x. To find the value of x, rearrange and solve the above equation:
6+x+10+x+10 = 50
26 + 2x = 50
2x = 50-26 = 24
x = 12
We said at the start that Rene's age was 6+x, so her age = 12+6 = 18
Rene's sister's age = x = 12
Hope this helps
Answer:
18 , 12
Step-by-step explanation:
R -Rene age
R-6= age of her sister
after 10 years Rene age=R+10
her sister age= R-6+10=R+4
so R+10+R+4=50
2R+14=50
-14 -14
2R=36
:2 :2
R=18 ( Rene age)
18-6=12 ( her sister age)
Problem: \ The yellow portion of a circle represents 35%: How many degrees are in the angle formed by the edges of the yellow region?
Answer:
126°
Step-by-step explanation:
Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:
The degree of a full circle = 360°
To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:
[tex] \frac{35}{100}*360 [/tex]
[tex] \frac{35*360}{100} [/tex]
[tex] \frac{12600}{100} [/tex]
[tex] \frac{126}{1} [/tex]
[tex] 126 [/tex]
126° is formed by the edges of the yellow region.
Write a coordinate proof. Prove quadrilateral KLMN, having vertices K(–5, –4), L(0, 8), M(7, 4), and N(8, –4) is not a parallelogram.
Answer:
From the calculation,
KL = 13
NM = √65
Hence KL ≠ NM
Therefore, the quadrilateral KLMN is not a Parallelogram.
Step-by-step explanation:
K(–5, –4), L(0, 8), M(7, 4), and N(8, –4)
Where we have vertices, (x1, y1) , (x2, y2)
We use the formula
√(x2 - x1)² + (y2 - y1)²
Side KL = K(–5, –4), L(0, 8)
√(x2 - x1)² + (y2 - y1)²
√(0 - (-5))² + (8 - (-4))²
√ 5² + 12²
√25 + 144
= √169
= 13
Side KN = K(–5, –4), N(8, –4)
√(x2 - x1)² + (y2 - y1)²
√(8 -(-5))² + (-4 - (-4))²
√13² + 0²
√169
=13
Side MN = M(7, 4), N(8, –4)
√(x2 - x1)² + (y2 - y1)²
√(8 -7)² + (-4 - 4)²
√1² + (-8)²
√1 + 64
√65
Side LM = L(0, 8), M(7, 4),
√(x2 - x1)² + (y2 - y1)²
√(7-0)² + (4 - 8)²
√(49)² +(-4)²
√ 49 + 16
√65
We were asked in the above question to prove that the quadrilateral with the given vertices is not a Parallelogram.
One of the characteristics of a Parallelogram is that the opposite sides are parallel and congruent to one another. This means that, the opposite sides are similar .
For the Quadrilateral KLMN above to be a Parallelogram, this means
KL = NM
From the above calculation,
KL = 13
NM = √65
Hence KL ≠ NM
Therefore, the quadrilateral KLMN is not a Parallelogram.
Make 'P' the subject in the formula A = P(1+r)T
P=A/(1+r)T
Step-by-step explanation:
1) p(1+r)=A/T
2)P=A/(1+r)T
Answer:
P=A/(T+Tr)
Step-by-step explanation:
A = P(1+r)T
Multiply P and T
A=PT(1+r)
Clear the bracket by multiplying all bracketed terms by PT
A=PT+PTr
A=P(T+Tr)
Divide both sides by (T+Tr)
A/(T+Tr)=P(T+Tr)
P=A/(T+Tr)
1) Expand the following expressions
(a) 2(x + 6)
Answer:
2x + (2 × 6)
since we are expanding, we represent 2 multiplying to every expression in the given parentheses
Answer:
2x+12
Step-by-step explanation:
2(x + 6)
Distribute
2*x + 2*6
2x+12
The length of a rectangle is 2 less than 3 times its width. If the area of the rectangle is 96cm², what is the length of the rectangle?
Answer: The length is 16 cm
Step-by-step explanation:
L= 3w -2 w × L = 96 substitute for L
w(3w -2) =96
3w² -2w = 96
3w² -2w - 96 = 0 factor this
(3w + 16)(w -6) = 0 Set the w-6 factor equal to 0 and solve for w (The 3w + 16 will yield a negative number; real rectangles can't have negative dimensions!)
w-6 = 0 so w = 6
Original equation for L L =3w -2 substitute 6 for w
L = 3(6) - 2 = 18 -2
L = 16
HELP PLZZZZZZZZZZZ!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
sohcahtoa for right triangles
Answer:
No, because triangle XYZ is not a right triangle
Step-by-step explanation:
Since this is not a right triangle, we cannot use trig functions
Factored completely, the expression 2y^2 + 12y-54 is equivalent to
a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
HELP QUICK! Find the value of x such that the data set 31.7, 42.8, 26.4, and x has a mean of 35
Answer:
39.1
Step-by-step explanation:
((31.7+ 42.8+26.4+x))/(4)=35
There are four things that you add, so you have to divide by 4. Your end result is 35, so set your equation equal to 35.
4 times 35 is 140.
The stuff remaining is 100.9 + x = 140
140-100.9 is 39.1
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.
Answer:
Option A -- 0.46
Step-by-step explanation:
The answer is the x-coordinate of the point of intersection, which is 0.46
The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.
How to solve the equation?From the information given, the equation is given as log(6x + 10) = log 1/2x
In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.
By using graphing, it can be deduced that one will draw both graph on the same coordinate place.
From the graph, y1 and y2 simply intersect at point (0.46,1.12)
Therefore, the curve intersect at approximately x=0.46.
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What's the correct answer to both of these?
Answer:
See explanation.
Step-by-step explanation:
1) The correct answer is B.
2) The correct answer is D.
To find the answer, plug the equations into Desmos.
If this helped, please mark Brainliest :D
Your roommate loves to eat Chinese food for dinner. He estimates that on any given night, there’s a 30% chance he’ll choose to eat Chinese food. Although he loves Chinese food, he doesn’t like to eat it too much in a short period of time, so on most weeks he eats several different kinds of foods for dinner. Suppose you wanted to calculate the probability that, over the next 7 days, you friend eats Chinese food at least 3 times. Which of the following is the most accurate statement about calculating this probability?
A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
B. Because "success" or "failure" have no real meaning in the context of this problem, we cannot use the binomial distribution to calculate the desired probability.
C. Because we do not know the probabilities of your roommate eating any other types of foods, we cannot use the binomial distribution to calculate the desired probability.
Answer:
A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
Step-by-step explanation:
As it is mentioned in the question that he doesn't like the Chinese too much in a very short interval so he prefers various other foods for dinner
So now we have to determine the probability for the next 7 days
So based on the options mentioned, we prefer option A as we do not use the binomial distribution here as it shows only success results that are not confirmed in the given case
Therefore, the correct option is A.
ONE MORE AND UR DONE FOR THE DAY TO HELP MEEEE I THINK LOL OK SORRY FOR DOING CAP LETTERS IM JUST VERY HYPER CAUSE I HAD ICE CREAM AND SWEETS AND CANDY ETC! SOOOO YEAHHHHHHH HAHHAHAHAHHAHA PLS ANSWER THIS AND PLS DO NOT LOOK IT UP :/ THANK YOUUUUUUUUUU !
Answer:
Hey there!
A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.
Hope this helps :)
Answer:
no
Step-by-step explanation:
Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship
A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy.
Answer:
Heres a screenshot with the answers I got from someone who commented:
Edit: Credits- saltern20333
Answer:
Step-by-step explanation:
Which of these is the statement of zero product rule?
Answer:A
Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both
The statement of the zero product rule is if a•b=0 then either a=0 or b=0 or both.
We have given that the statements
if a•b=0 then either a=0 or b=0 or both
if a•b=0 then a=0 or b=0.
if a•b=0 then either a=0 or b=0 but not both
if a•b=0 then a=0.
We have to find the statement of zero divisors,
What is the statement of zero divisors?If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.
Then the zero product is defined as,
The zero product property states that if a⋅b=0 then either a or b equal zero
Therefore option A is correct.
if a•b=0 then either a=0 or b=0 or both.
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The formula for the perimeter of a rectangle is p=2L + 2W, where L is the length and W is the width of the rectangle. Which is the formula for the length?
Answer:
P - 2W
L = ------------
2
Step-by-step explanation:
You are being asked to solve P = 2L + 2W for the length, L.
Let's isolate 2L on the right side by subtracting 2W from both sides:
P - 2W = 2L
Dividing both sides by 2 isolates L:
P - 2W
L = ------------
2
Which equation has no solution A.) 4(x+3)+2x=6(x+2) B.) 5+2(3+2x)=x+3(x+1) C.) 5(x+3)+x=4(x+3)+3 D.) 4+6(2+x)=2(3x+8)
Answer:
B. 5+2(3+2x)=x+3(x+1)
Step-by-step explanation:
Expand the brackets.
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3
Add -4x and -11 on both sides.
4x - 4x = 3 - 11
0 = -8
There are no solutions.
Answer:
B
Step-by-step explanation:
I could explain this to you by using process of elimination but I think it would be easier to explain to you straight forward why answer choice B has no possible answers. First I did the equation out on a piece of paper:
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 +4x = x + 3x +3
11 + 4x = 4x +3
Now we have 4x + 3 = 4x + 11. It is impossible for 4x to be added to two entirely different numbers and still produce the same outcome, so that is why B is the correct answer choice.
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818