Answer:
[tex]\boxed{a_{n} = 2(4n - 5)}[/tex]
Step-by-step explanation:
Given :
⇒ a = -2
⇒ d = 14 - 6 = 8
Formula for nth term :
[tex]\boxed {a_{n} = a + (n-1)d}[/tex]
Solving :
⇒ aₙ = -2 + (n - 1)(8)
⇒ aₙ = -2 + 8n - 8
⇒ aₙ = 8n - 10
⇒ aₙ = 2(4n - 5)
Hi 6 questions ! They are practice so shouldn’t be to hard!
Please fine the slope through the given points
Answer:
1. 1
2. 6/5
5. 0
6. -1/2
9. -1
10. 0
Step-by-step explanation:
Well you should just the slope formula (y2-y1)/(x2-x1)
1. (8-5)/(0-(-3)) = 3/3 = 1
2. (-3-(-9))/(4-(-1)) = 6/5
5. (3 - 3) / (0-2.5) = 0/(-2.5) = 0
6. (0-(-4))/(0-8) = 4/(-8) = -1/2
9. (4-1)/(9-12) = 3/(-3) = -1
10. (7-7) / (1-(-5)) = 0/6 = 0
Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leave a 20% tip. What is the price that each person paid?
Answer:
14.16
Step-by-step explanation:
we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:
35.40×1.20 = 42.48
now, this amount is split to 3 people, so:
42.48/3 = 14.16
and that is our answer
timmy makes a table to keep track of the number of visitors to his new websites as time progresses: is the data he collected best modeled by an exponential or linear function
Answer:
Show the process
25. Given: TE= RI, TI = RE,
Proof
LTDI and LROE are right /
Prove: TD=RO
Answer:
In triangle TEI and ERI
TI = RE ( given)
angle TDI = angle ROE ( given).
TE = RI ( given).
by side angle side criteria
both the triangles are congruent
by cpct ( corresponding parts of congruent triangles)
TD is congruent to RO
Which of the following describes point D?
O (-4,0)
O (4,0)
O (0,4)
O (0,-4)
Answer:
The answer is C (0,4)
Step-by-step explanation:
Looking at the graph we have to find a point (x,y) of D.
Find point D. It is on the y-axis, but which one? Positive/Negative y-axis.
It appears to be on the positive y-axis.
Now we have to choose either option C or D.
Option C seems like the best choice since the point is (x,y) is (0,4) on the positive y-axis.
Option D is quite the opposite of point D since the point (0, -4) is on the negative y-axis.
The answer is C. (0,4)
The coldest temperature ever recorded in New York City was -15F on February 9, 1934. The next day, the temperature rose 42F. Write an expression for the temperature on February 10.
Answer:
An expression for the temperature on February 10 = -15F +42F = 27F
Step-by-step explanation:
the problem given is based on the algebra of simple addition : -
Addition of Algebraic Expressions : -
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Two ways to solve addition of algebraic expressions.
Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.
so the question can be solved using Horizontal method :-
temperature on 9 Feb = -15F
temperature rose on 10th Feb = 42F
so the temperature on 10th Feb is :
-15F +42F = 27F
therefore, an expression for the temperature on February 10 is
-15F +42F = 27F (answer)
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Simplify the expression below. How many digits are in the answer?
2.784 - 3.00079 + 10.671 x 1.0798
Answer:
11.3057558
Step-by-step explanation:
Geometry fence problem. Need help solving
Eric is 8 years 4 months old. his mother is 40 years 3 months old. how old was his mother when eric was born?
Answer:
Eric´s mom had:
31 years 11 months
Step-by-step explanation:
1 year = 12 months
40 years = 39 years + 12 months
40 years 3 months = 39 years + 12 monts + 3 monts = 39 years 15 months
Then:
40 years 3 months
- 8 years 4 months
it´s equivalent to:
39 years 15 months
- 8 years 4 months
= 31 years 11 monts
i need the missing blank....
g(t)=2.0.4^t for t = -2
Answer:
2(0.4)^-2 = 12.5
Step-by-step explanation:
do math noob
A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.
Which value can be used as the common ratio in an explicit formula that represents the sequence?
One-half
2
6
12
The common ratio of the given Geometric progression is one-half.
Let a be first term and r common ratio of the Geometric progression.
The Geometric sequence is the form a,ar,ar^2, ...
Given that the sequence begins with 12, i.e a = 12
and also given that the sequence are in Geometric Progression.
By dividing the preceeding number by 2, we get the successive number
Then the Geometric sequence is 12, 12×1/2, 12×1/4, 12×1/8, 12×1/16 ...
= 12, 6, 3, 3/2, 3/4, ...
Common ratio = Second term / First term
= 6/12
=1/2
Therefore, the common ratio of the given geometric progression is one-half.
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Answer:
its a
Step-by-step explanation:
which of the following functions best describes this graph?
A.y=(x-1)(x-1)
B.y=x^2-5x+6
C. y=x^2-x+5
D. y=( x-3)(x+1)
Answer: y = (x-1)(x-1)
Step-by-step explanation:
There is pretty much no vertical shift so that immediately rules out B and C.
We can solve y = (x-1)(x-1) and get x = 1
The graph shows x = 1 as a zero, so we know this graph is correct.
Me no like this meth and me is not smart
halp
PLEASE HELP ME, I BEG OF YOU TO HAVE MERCY ON MY POOR SOUL
1. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)
2. Using the slope and y-intercept, write the equation of the trend line (y = mx + b).
3. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.
4. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.
The answer for the following question is
1. m= 10
2. y- intercept = 300
3. y = 10x + 300
What is Regression line?A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables
1.slope= rise/ run
m= 10
2. y- intercept = 300
3. Now, the regression line:
y = 10x + 300
At, x = 1
y = 10(1) + 300
y = 310 calories
and x = 14
y = 10(14) + 300
y = 440
We know the actual value is 330.
Hence, the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
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What is the answer? i need help so bad....
Answer:
18
Step-by-step explanation:
(6 * 3 ) - (8 * 0) = 18
PLEASE HELPPP!!
Solve the system of equations.
Answer:
x= 4
y= -2
Step-by-step explanation:
[tex]-3y+5x=26\\-2y-5x=-16[/tex]
Solve by using the Elimination Method.
[tex]-5y=10\\\\\frac{-5y}{-5} =\frac{10}{-5} \\\\y=-2[/tex]
Now plug y into one of the original equation.
=======================================
[tex]-2y-5x=-16[/tex]
[tex](-2*-2)-5x=-16[/tex]
[tex]4-5x=-16[/tex]
[tex]4-5x+5x=-16+5x[/tex]
[tex]4+16=-16+5x+16[/tex]
[tex]20=5x\\\\\frac{20}{5} =\frac{5x}{5} \\\\x=4[/tex]
=======================================
[tex]\left \{ {{x=4} \atop {y=-2}} \right.[/tex]
Investor Lucas just bought a large amount of stock in Company Y. What may have motivated his behavior? (5 points)
Lower shares prices
O Low real returns
O Higher shares costs
O High total ear
What must have motivated the behavior of the Investor to commit to such a large stock is; Option C: High Total Earnings
How to know the value of investing in stocks?A) Low real returns; This cannot be his motivation to buy large shares because real return is what is earned on an investment after accounting for taxes and inflation. Thus, the lower, the less encouraging to investors.
B) Higher shares costs; This only means that the share cost is currently high which indicates strength of the company but it does not guarantee that it will scale up at a very fast rate again.
C) High total earnings; Thus would be an encouragement to the investor because the higher the total earning potential of an investment, the more the profitability and the more attractive to others.
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In January, Emma was 62.25 in tall. In December, she was 65.5 inches tall. How much did Emma grow between January and December?
A. 2 inches
B. 3.25 inches
C. 5.5 inches
D. 4 inches
Answer: B. 3.25 inches
Step-by-step explanation:
two months right next to each other
65.5 = final
62.25 = start
65.5 - 62.25 = 3.25 inches
Answer:
3.25
Step-by-step explanation:
65.5 - 62.25
which statement is correct?
Answer:
the first one
Step-by-step explanation:
0.0206×0.188<0.0769/0.000023
when using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
a)4
b)3
c)2
d)5
The only option that meets the root theorem is option b.
which of the following is a possible root of the polynomial function below?
The polynomial function is:
[tex]f(x) = 2x^2 - 4x + 9[/tex]
The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.
In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3
Where 3 is a rational number:
3 = 3/1
The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).
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Find the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). ( x - 1) 2 + ( y - 4) 2 = 25 ( x - 4) 2 + ( y - 1) 2 = 25 ( x - 1) 2 + ( y - 4) 2 = 5
Answer:
(x-1)^4 + (y-4)^2 = 25
Step-by-step explanation:
Center at 1,4 means the circle is of the form:
(x-1)^4 + (y-4)^2 = r^2
Find r^2 using distance formula from center to the given point
r ^2 = ( 8-4)^2 + (4-1)^2
r^2 = 16 +9 = 25
so you answer is (x-4)^4 + (y-8)^2 = 25
9. Solve for x: Please explain
Answer:
since the triangle has a line on 2 sides, it means that it is equal. Also, every triangle has 180 degrees so the missing degree is 70
Step-by-step explanation:
Figured it out
Answer:
x = 70°
Step-by-step explanation:
Since 2 sides are marked as congruent then the triangle is isosceles with 2 base angles being congruent , both 55°
the sum of the 3 angles in the triangle = 180° , so
x + 55° + 55° = 180°
x + 110° = 180° ( subtract 110° from both sides )
x = 70°
Im bad at composite figures || please hurry
The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.
The complete question is attached below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of trapezoid and square.
Then the area of the geometry will be
Area = Area of trapezoid + Area of square
Area = 1/2 x (3 + 9) x 5 + 3 x 3
Area = 30 + 9
Area = 39 square meters
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[tex]\huge\fbox\purple{Question}[/tex]
1)find L.C.M of the following set of numbers by listing multiplies
a)6 and 9
b)8 and 12
c)4,6 and 8
2)find L.C.M of the following set numbers by using divison method
a)6 and 15
b)20 and 30
c)25,30 and 75
The LCM of the given numbers have been determined.
What is LCM ?LCM stands for Least Common Multiple .
For two numbers , LCM is the number that is the smallest number of which they both are a factor.
It is asked to determine
LCM of 6 and 9
6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}
9 = { 9 , 18 ,27 .....}
The LCM of 6 , 9 is 18
LCM of 8 and 12
8 = { 8,16,24,32....}
12 = {12 , 24 ,36....}
The LCM of 8 and 12 is 24
LCM of 4 , 6 and 8
4 = {4 , 8 , 12 , 16 , 20,24,28 ....}
6 = { 6 ,12 ,18,24......}
8 = {8 , 16,24 .....}
The LCM of 4,6 and 8 is 24
The LCM of 6 and 15 is 30
The LCM of 20 and 30 is 60
The LCM of 25,30 and 75 is 150
The image of the solution is attached .
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Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred
Answer
100 multiples of 5 greater than 100 are:
Step-by-step explanation:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,
In a factory, the chance that a certain machine works without overheating in the morning is 50%. if it runs smoothly all morning, then there is an 85% chance that it will continue for the rest of the day and a 15% chance that it will stop due to overheating. what is the probability that on a given day it will work in the morning and overheat later on? a. 4% b. 3.75% c. 7.5% d. 3.5%
Answer: C. 7.5%
Solve as decimal
0.5*0.15=0.075
Move two decimal points over
0.075 -> 7.5
Change back to percent
7.5%
Quentin currently owes a total of $1,551.42 on his revolving credit accounts. What is Quentin's debt-to-credit ratio if his total revolving credit limit is $8,619.00? (4 points)
18%
23%
29%
31%
Answer:
(a) 18%
Step-by-step explanation:
The debt to credit ratio is found by dividing his debt by his credit limit.
__
using the definitionratio = debt/credit limit = $1551.42/$8619.00 ≈ 0.18 = 18%
Quentin's debt to credit ratio is 18%.
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct statements are options C and option D.
- 6x + 15 < 10 - 5x ⇒ 3rd answerAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The inequality is -3(2x - 5) < 5(2 - x)
At first, simplify each side
-3(2x - 5) = -3(2x) + -3(-5)
Remember (-)(-) = (+)
-3(2x - 5) = - 6x + 15
5(2 - x) = 5(2) + 5(-x)
Remember (+)(-) = (-)
5(2 - x) = 10 - 5x
- 6x + 15 < 10 - 5x
Subtract 15 from both sides
- 6x < -5 - 5x
Add 5x to both sides
- x < - 5
Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality
The coefficient of x is -1
Divide both sides by -1
x > 5
Therefore the correct statements are options C and option D.
- 6x + 15 < 10 - 5x ⇒ 3rd answerAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.To know more about inequality follow
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Mo travels 30 miles in 45
minutes.
He then travels 18 miles in 30
minutes.
Calculate his average speed.
Answer:
38.4 miles per hour
Step-by-step explanation:
30 miles in 45 minutes
18 miles in 30 minutes
Average speed = total distance / total time
= (30+18) / ( 45 min + 30 min)
= 48 miles / ( 1.25 hr ) = 38.4 miles per hour
