Answer:
[tex]\boxed {\boxed {\sf 682}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a+d(n-1)[/tex]
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
[tex]d= a_2-a_1[/tex]
The second term is 25 and the first is 16.
[tex]d= 25-16[/tex]
[tex]d=9[/tex]
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
[tex]d=9 \\a=16 \\n= 75[/tex]
Substitute the values into the formula.
[tex]a_{75}=16+9(75-1)[/tex]
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
[tex]a_{75}=16+9(74)[/tex]
Multiply next.
[tex]a_{75}=16+666[/tex]
Finally, add.
[tex]a_{75}=682[/tex]
The 75th term in the sequence is 682.
Reflect triangle ABC over the x-axis. Then translate the new triangle 5
units to the left. What are the coordinates of the vertices of the final image?
Answer:
The coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Step-by-step explanation:
Given the triangle with the vertices
A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.Thus,
The rule of reflection across the x-axis:
(x, y) → (x, -y)
so
A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)
B(-2, 2) → B'(-2, -2) = B'(-2, -2)
C(5, 2) → C'(5, -2) = C'(5, -2)
Then, translate the new triangle 5 units to the left
Rule of translating 5 units to the left
(x, y) → (x-5, y)
so
A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)
B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)
C'(5, -2) → C''(5-5, -2) = C''(0, -2)
Therefore, the coordinates of the vertices of the final image will be:
A''(-6, 8), B''(-7, -2), and C''(0, -2)
Hence, option (B) is true.
Answer: b
Step-by-step explanation:
a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performed on it
Answer: It would be a Constant variable.
Hope this helps!
What is the product of 60?
Answer:
the product of 60 is 5×3×2×2
Which inequality describes all the solutions to 5(3 – x) < -2x + 6?
Answer:
3 < x
Step-by-step explanation:
1. Use distributive property for 5(3-x)
2. add x to each side
3. subtract 6 from 15
4. divide 3 from 9
3 < x
Please help me asap!!!
Answer:
[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]
Step-by-step explanation:
Given
Stores and Parking Lots
Required
Determine the area as a sum of area of stores and area of parking lots
First, calculate the area of the stores
The dimension of store A is: 25 by 10
The dimension of store B is: 25 by w
The dimension of stores A and B (as an entity) is: 25 by 10 + w
The area is then calculated as:
[tex]Area = 25 * (10 + w)[/tex] -------- A1
Next, calculate the area of the parking lots
The dimension of parking lot A is: 13.5 by 10
The dimension of parking lot B is: 13.5 by w
The dimension of parking lots A and B (as an entity) is: 13.5 by 10 + w
The area is then calculated as:
[tex]Area = 13.5 * (10 + w)[/tex] -------- A2
The area of the shopping center is then calculated as:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]
A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer
Answer:
3
Step-by-step explanation:
4/5 divided by 3/4 brtdegthyrewadetywwraejrydtse
Answer:
4/5 ÷ 3/4 = 1 1/15
Step-by-step explanation:
Answer:
1 11/20
Step-by-step explanation:
4
5
+
3
4
=
4 × 4
5 × 4
+
3 × 5
4 × 5
=
16
20
+
15
20
=
16 + 15
20
=
31
20
=
1 11
20
HELP NOW
Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.
Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
The cost of gasoline varies directly with the number of gallons bought. If
4 gallons of gasoline cost $16.80, find the cost of 15 gallons.
Help please!
Answer:63 dollars 16.80÷ 4 = 4.20 4.20 × 15 = 63
Step-by-step explanation:
List 3 values that would
make this inequality true.
er.
C С
4 + g 29
Answer:
Three values that would make this true would be 5, 9, and 20.
You could choose any number that is greater than or equal to 5
Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing
Answer:
436.8 x 100 / 62.08 x 100 = 43680/6208
Step-by-step explanation:
When you write the problem as a fraction, multiply the numerator and denominator by 100. Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.
please help me out if you can
Answer:
A that's 250
Step-by-step explanation:
30\100x 12
48/8 = 42/x a. X=42 C. X = 8
b.x = 7
d.X = 6
Answer:
x=7
Step-by-step explanation:
x*48should be equal to 42*8
Find the value of x.
Step-by-step explanation:
the 3rd angle is 60 degrees
as it is an equalateral triangle, all the sides are equal. So we can say that
7x + 19 = 11x - 89
89 + 19 = 11x-7x
108 = 4x
x = 108/4
x = 27
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide. Compare the estimates to the exact perimeter.
Compare the estimates to the exact perimeter.
The estimate using measurements rounded to the nearest whole number is closer to the exact perimeter.
The estimate using measurements rounded to the nearest tenth is closer to the exact perimeter.
The two estimates are equally close to the exact perimeter.
Neither estimate is close enough to the exact perimeter to be useful.
Answer:
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
. The average life span of a huski dog is 4,380 days. How many years is
this?
Answer:
it's almost 12 years
Step-by-step explanation:
Answer:
Your answer would be 12 years!
Hope this helps!
Please help! (3 c = ? fl oz)
Answer:
24 fl oz
Step-by-step explanation:
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)
Step-by-step explanation:
you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you
Select the slope and y-intercept of the relationship shown in the table
Answer:
slope = 0.05, y-intercept = 2,000Hence, option A is true.
Step-by-step explanation:
x y
10, 000 2,500
20, 000 3,000
30, 000 3, 500
Taking two points (10000, 2500) and (20000, 3000) to find the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3000-2500}{20000-10000}[/tex]
[tex]m=\frac{1}{20}[/tex]
[tex]m=0.05[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where 'm' is the slope and 'b' is the y-intercept
substituting the point (10000, 2500) and m=0.05 in the slope-intercept form
[tex]y=mx+b[/tex]
[tex]2500\:=\:0.05\left(10000\right)+b[/tex]
[tex]500+b=2500[/tex]
[tex]b=2000[/tex]
Thus, the y-intercept is: b=2000
Thus,
slope = 0.05, y-intercept = 2,000Hence, option A is true.
Checking accounts can be accessed using checks, ATM machines, and wire transfers.
True or false
Answer:
I think it is True
use the coordinates of the labeled points to find the point slope equation of the line (3, -5)
Answer: y + 5 = -3(x-3)
Step-by-step explanation:
What us the value of 6x - 3y if x = 5 and y = 1
Answer:
27!
Step-by-step explanation:
Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)
Triangle ABC is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.
-----
What is the slope of line segment ab
Answer:
m=-4/3
Step-by-step explanation:
Rise/run
it goes up -4 units and over 3
-4/3
Please give me the correct answer
Answer:
i dont think so.
Step-by-step explanation:
HELP!! It’s question 8
Answer:
the answer is 1.25 or 5/4
Answer:
Actual kitchen area equals 108 feet
Step-by-step explanation:
room turns into 12 ft. by 9 ft.
to find area: 12 x 9
Actual kitchen area equals 108 feet
According to Euclidean geometry, a plane contains at least
Answer:
ok
Step-by-step explanation:
wheres the rest
A small band performed at a local church they estimated 50 people would attend but 80 people showed up to watch them play what is the percent error of the number of people who attended the event.
Answer:
im giving away 400 points ok so dont get mad at me
Step-by-step explanation:
First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?
A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution
Answer:
the answer is C, NOT B
Step-by-step explanation:
The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.
What are Inequalities ?Inequality is the relation between two unequal numbers or algebraic expression.
The inequality symbols are less than , greater than , less than equal to, greater than equal to.
It is given in the question that
the system of equations y= -1/2x + 1 and y = x - 5.
the system of inequalities y > -1/2x + 1 and y < x - 5.
x-5 = -1/2 x +1
2x+x=6*2
3x = 12
x = 4
x-5 >-1/2 x +1
x>4
The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.
To know more about inequalities
https://brainly.com/question/20383699
#SPJ2
3.50x – 30 = 40 , solve this equation.
Answer:
x=20
Step-by-step explanation:
add the to both sides
3.5x=70
divide both sides by 3.5
x=20
xoxo, your highness...Find the slope of regular AB, and make sure you reduce the fraction to simpelist form