Answer:
1) Is the pattern an arithmetic sequence?
Yes it is
2)Identify a and d.
a = First term = 2
d = Common difference = 2
3) Write the 50th term of the sequence.
50th term = 100
4) Find the total number of logs in the first 10 rows.
= 1010 logs
Step-by-step explanation:
Is the pattern an arithmetic sequence?
Yes it is
2) Identify a and d.
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,
The formula for arithmetic sequence =
an = a+ (n - 1)d
a = First term
d = Common difference
For the above question:
a = 2
d = Second term - First term
= 4 - 2
d = 2
3) Write the 50th term of the sequence.
Using the formula for arithmetic sequence
an = a+ (n - 1)d
a = 2
n = 50
d = 2
a50 = 2 + (50 - 1)2
= 2 + (49)2
= 2 + 98
= 100
The 50th term = 100
4)Find the total number of logs in the first 10 rows.
Sum of first n terms = n/2(a + l)
n = 10
a = first term = 2
We are told that there are 200 logs in the bottom row, hence:
l = last term = 200 logs
Hence,
Sn = 10/2×[ (2 + 200
= 5(202)
= 1010 logs
What is the unit rate for the ratio 280 students/8 buses =
Answer:
35 children for every 1 bus
Step-by-step explanation: :) i hope i helped
What is required of a proportional relationship that is not required of a general line relationship?
Answer:
Step-by-step explanation:
Pertains to y-intercept is then 0.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
HELP ASAP!!
Answer:
i think its −2x+y=−5
Step-by-step explanation:
-2x +y= -11 is the equation of this line in Standard Form .
What is in slope-intercept form?
Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.m = 2
the point = (4,-3)
the equation of this line
y - y₁ = m ( x - x₁)
y - ( -3 ) = 2 ( x - 4 )
y + 3 = 2( x - 4 )
y + 3 = 2x - 8
y = 2x - 8 - 3
y = 2x - 11
-2x +y= -11
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convert 0.00049 to scientific notation.
A) 4.9 • 10^3
B) 4.9 • 10^4
C) 4.9 • 10^-3
D) 4.9 • 10^-4
Answer:
D
Step-by-step explanation:
Answer:
D)4.9 x 10^-4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Helppppppppppp please!!!
Answer:
i is a
Step-by-step explanation:
which equation is y=(x+3)^2+(x+4)^2 rewritten in vertex form?
Answer:
[tex]y-1/2=2(x+7/2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The given function is:
[tex]y=(x+3)^2+(x+4)^2[/tex]
Expanding the squares:
[tex]y=x^2+6x+9+x^2+8x+16[/tex]
Simplifying:
[tex]y=2x^2+14x+25[/tex]
Factoring 2 from the first two terms:
[tex]y=2(x^2+7x)+25[/tex]
The expression in parentheses must be completed to form the square of a binomial:
[tex]y=2(x^2+7x+49/4-49/4)+25[/tex]
Isolating the square of the binomial:
[tex]y=2(x^2+7x+49/4)-49/2+25[/tex]
Operating and Factoring:
[tex]y=2(x+7/2)^2+1/2[/tex]
Rearranging:
[tex]\boxed{y-1/2=2(x+7/2)^2}[/tex]
Comparing with the vertex form:
a=2, h=-7/2, k=1/2
rodney wants to buy 3.5 pounds of cherries and 2 1/3 pounds of peaches. If rodney wants to use exact change how much money should he take with him to the produce stand?
Answer:
D 17.43
Step-by-step explanation:
3.5 times 3.63 equals 12.67 and 2 1/3 times 2.04 equals 4.76. When you add them together you get 17.43.
The exact change Rodney needs to take with him to the produce stand is 17.42 dollars.
What is unitary method?A unitary method is a mathematical technique for obtaining the value of a single unit and then deriving the required units by multiplying it with the single unit.
The exact change Rodney needs to take with him to the produce stand is the price of 3.5 pounds of cherries which is (3.5×3.62) dollars = 12.67 dollars added to the price of 2.33 pounds of peaches which is (2.33×2.04) dollars = 4.75 dollars.
∴ The total amount is (12.67 + 4.75) dollars.
= 17.42 dollars.
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Is this graph a function?
Answer:
Yes!
Step-by-step explanation:
Because it passes the vertical line test.
Answer:
no, because if you use vertical line test the graph would have intersects many times.
Which point on the number line represents the product (5) (negative 2) (negative 1)?
A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.
Point A
Point B
Point C
Point D
Point C
Hope This helps!! : }
The point D represents the product of the three integers.
What is Number Line?Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.
Integers includes natural numbers, 0 and negative of the natural numbers.
Given is the three numbers 5, -2 and -1.
We have to find the product of these three numbers.
When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.
(5) (-2) (-1) = (5 × -2) (-1)
= (-10) (-1)
= 10
Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.
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Find the midpoint of a segment with endpoints (-9, 3) and (5, 7).
I need help ASAP pleasee
Answer:
( -2,5)
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates of the endpoint and divide by 2
( -9+5)/2 = -4/2 = -2
To find the y coordinates of the midpoint, add the y coordinates of the endpoint and divide by 2
( 3+7)/2 = 10/2 = 5
The midpoint is ( -2,5)
If f(x)=x²+3x-2
find f(-2)
Answer:
f(- 2) = - 4
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = (- 2)² + 3(- 2) - 2 = 4 - 6 - 2 = - 4
Value of f(-2) is -4
Given that;
f(x) = x²+3x-2
Find;
Value of f(-2)
Computation:
Given that;
f(x) = x²+3x-2
By putting x = -2
f(-2) = (-2)² + 3(-2) - 2
f(-2) = 4 - 6 - 2
f(-2) = 4 - 8
f(-2) = -4
So, -4 is the correct answer to the given equation.
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3,500x(1+.0125/2)^(2x2)=
3588.3 thats the answer
Consider the equation 2x+11=3x−3 −8x
Put the letter of the following steps in the correct order.
A. The solution is x = -2.
B. Use the Subtraction Property of Equality to subtract 11 from both sides.
C. Use the Division Property of Equality to divide both sides by 7.
D. Use the Addition Property of Equality to add 5x to both sides.
E. Combine like terms to rewrite the equation as 2x + 11 = -5x - 3
, , , ,
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Answer:
E ⇒ D ⇒ B ⇒ C ⇒ AorE ⇒ B ⇒ D ⇒ C ⇒ AStep-by-step explanation:
GivenEquation 2x + 11 = 3x - 3 - 8xSolution2x + 11 = 3x - 3 - 8x2x + 11 = -5x - 32x + 5x + 11 = -5x + 5x - 37x + 11 = - 37x + 11 - 11 = -3 - 117x = -147x/7 = -14/7x = -2Correct order of the steps
E. Combine like terms to rewrite the equation as 2x + 11 = -5x - 3 D. Use the Addition Property of Equality to add 5x to both sides. B. Use the Subtraction Property of Equality to subtract 11 from both sides. C. Use the Division Property of Equality to divide both sides by 7. A. The solution is x = -2.The order D, B is same as B, D
Answer:
salah kamu nilai ku jadi jelek kamu harus bertanggung jawab
Please help me with this! I don't understand it at all!
Solve v +8 <3 or 8v <-40.
[tex]v + 8 < 3[/tex]
Subtract sides -8
[tex]v + 8 - 8 < 3 - 8[/tex]
[tex]v < - 5[/tex]
_________________________________
[tex]8v < - 40[/tex]
Divided sides by 8
[tex] \frac{8}{8}v < \frac{ - 40}{8} \\ [/tex]
[tex]v < - 5[/tex]
_________________________________
Done.... ♥️♥️♥️♥️♥️
The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Given the inequality,
v +8 < 3
Adding -8 on both sides
v + 8 - 8 < 3 - 8
v < -5
Or,
8v <-40
Divide 8 on both side
v < -5
Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".
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Apps Managed bookmarks
Write an expression for the perimeter of the rectangle with a length of 2x and width of x.
Step-by-step explanation:
2x + 2x + x + x = Perimeter
6x = Perimeter
x = Perimeter ÷ 6
Info in the pic please helppp me ASAP!!!!
Henry's Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Henry's Jewelry Store places an order for 5,500 jewelry pieces, how many should they expect to be damaged? They should expect pieces of jewelry to be damaged.
Answer:
They should expect 165 damaged pieces in 5500 jewelry pieces
Step-by-step explanation:
The first thing we need to do is to get some metrics to measure the rate at which the damaged jewelry is seen.
We can use 15 pieces of jewelry that are damaged for every 500 ordered.
Once this is done, we can then use this to estimate how many pieces of jewelry are damaged if 5,500 are ordered.
We now need to know how many sets of 500 pieces of Jewelry are in 5,500.
This is 5,500/ 500 = 11 sets
Therefore, all 11 sets will have 15 damaged pieces of jewelry each. The total number of damaged jewelry pieces will be 15 X 11 = 165 damaged pieces
Ronald decides he wants to call his three friends: Martha, Deena, and Barbara. He is trying to decide in what order to call them. How many choices does he have?
Answer:
9
Step-by-step explanation:
Which of the following numbers are less than -0.625
choose all that apply
A: - 8/5
B: -5/8
C:-0.5
Answer:
C
Step-by-step explanation:
C is the answer becuase it is a negative number less than -0.625
what is the formula of perpendicular line
17x+45.5=11.5x+425 anwser please
Find the 7th term of the arithmetic sequence given a12=29 and
a16=53
ara
Answer:
a7=-1
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences can be identified because each term n is obtained by adding or subtracting a fixed number to the previous term n-1.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
We know: a12=29, a16=53, now we use the above equation for n=12 and n=16:
[tex]a_1+(12-1)r=29[/tex]
[tex]a_1+(16-1)r=53[/tex]
Simplifying both equations:
[tex]a_1+11r=29[/tex]
[tex]a_1+15r=53[/tex]
Subtracting:
[tex]4r=53-29=24[/tex]
Solving:
r=24/4
r=6
The 7th term can be found as 9 terms before the 16th:
[tex]a_7=a_{16}-9r[/tex]
[tex]a_7=53-9*6=53-54=-1[/tex]
Thus: a7=-1
please help will give brainliest if correct! :)
E = hf − w
w = ?
manipulate the equation.
Answer:
the answer should be w=-E/hf
if it not plz tell me so i can edit my answer
Step-by-step explanation:
Hope this helps❤️
Answer:
hf-E
Step-by-step explanation:
I took the test
please help me I'm so confused
Kathy babysits for $7.25 an hour plus $5.75 in transportation cost. Jared babysits for $7.50 an hour plus $3.25 in transportation cost. After how many hours is Jared the more expensive sitter?
Which numerical expression represents the value (in cents) of 12 dimes?
a. 5 · 12
b. 10 · 12
c. 10 + 12
d. 12 10
I need help asap thanks
Answer:
B. y=5/4 x-4
Step-by-step explanation:
Slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{1-(-4)}{4-0}[/tex]
=5/4
is n^2 x n^2 equal to (n x n) ^2
A dairy calf raiser orders 25 bags of calf milk replacer for $1,050. How much did each bag cost?
Answer:
$1,054
Step-by-step explanation:
i dont have explination pls dont remind me